diff --git a/.github/workflows/build_and_test_compiler_zoo.yml b/.github/workflows/build_and_test_compiler_zoo.yml index 4192e5a..ba43b57 100644 --- a/.github/workflows/build_and_test_compiler_zoo.yml +++ b/.github/workflows/build_and_test_compiler_zoo.yml @@ -1,6 +1,6 @@ name: Build and Test - Compiler Zoo -on: [pull_request, workflow_dispatch] +on: [pull_request, workflow_dispatch, push] env: GH_ACTIONS_TOOLCHAIN: .github/workflows/toolchains/gh-actions.cmake diff --git a/.github/workflows/clang_format_lint.yaml b/.github/workflows/clang_format_lint.yaml new file mode 100644 index 0000000..06a1fa8 --- /dev/null +++ b/.github/workflows/clang_format_lint.yaml @@ -0,0 +1,22 @@ +name: Run clang-format + +on: [push] + +jobs: + linter: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v3 + - uses: DoozyX/clang-format-lint-action@v0.16 + with: + source: 'include test' + extensions: 'hpp,cxx,hpp.in,h,c' + clangFormatVersion: 15 + inplace: True + - uses: EndBug/add-and-commit@v4 + with: + author_name: Clang Robot + author_email: robot@example.com + message: 'Committing clang-format changes' + env: + GITHUB_TOKEN: ${{ secrets.CI_TOKEN }} diff --git a/include/integratorxx/batch/spherical_micro_batcher.hpp b/include/integratorxx/batch/spherical_micro_batcher.hpp index e0f3214..e64f07a 100644 --- a/include/integratorxx/batch/spherical_micro_batcher.hpp +++ b/include/integratorxx/batch/spherical_micro_batcher.hpp @@ -1,86 +1,74 @@ #pragma once +#include +#include +#include #include #include -#include -#include #include +#include #include -#include - namespace IntegratorXX { namespace detail { template -bool point_in_box( - const cartesian_pt_t& lo, - const cartesian_pt_t& up, - const cartesian_pt_t& pt -) { - - if( pt[0] > up[0] or pt[0] < lo[0] ) return false; - else if( pt[1] > up[1] or pt[1] < lo[1] ) return false; - else if( pt[2] > up[2] or pt[2] < lo[2] ) return false; - else return true; - +bool point_in_box(const cartesian_pt_t& lo, const cartesian_pt_t& up, + const cartesian_pt_t& pt) { + if(pt[0] > up[0] or pt[0] < lo[0]) + return false; + else if(pt[1] > up[1] or pt[1] < lo[1]) + return false; + else if(pt[2] > up[2] or pt[2] < lo[2]) + return false; + else + return true; } - template -inline constexpr T get_coordinate( const cartesian_pt_t& pt ) { +inline constexpr T get_coordinate(const cartesian_pt_t& pt) { return pt[I]; } template -inline constexpr bool comp_coordinate( - const cartesian_pt_t& a, - const cartesian_pt_t& b, - const BinaryPred& pred -) { - - return pred( get_coordinate(a), get_coordinate(b) ); - +inline constexpr bool comp_coordinate(const cartesian_pt_t& a, + const cartesian_pt_t& b, + const BinaryPred& pred) { + return pred(get_coordinate(a), get_coordinate(b)); } - template -using pw_type = std::pair< cartesian_pt_t, T >; +using pw_type = std::pair, T>; template -using pw_container = typename std::vector< pw_type >; +using pw_container = typename std::vector>; template -using pw_iterator = typename pw_container::iterator; - +using pw_iterator = typename pw_container::iterator; template -auto get_box_bounds( - PWIterator pw_batch_begin, - PWIterator pw_batch_end -) { - +auto get_box_bounds(PWIterator pw_batch_begin, PWIterator pw_batch_end) { using traits = std::iterator_traits; using cart_type = typename traits::value_type::first_type::value_type; using less = std::less; auto comp_x = [](const auto& a, const auto& b) { - return comp_coordinate<0>( a.first, b.first, less()); + return comp_coordinate<0>(a.first, b.first, less()); }; auto comp_y = [](const auto& a, const auto& b) { - return comp_coordinate<1>( a.first, b.first, less()); + return comp_coordinate<1>(a.first, b.first, less()); }; auto comp_z = [](const auto& a, const auto& b) { - return comp_coordinate<2>( a.first, b.first, less()); + return comp_coordinate<2>(a.first, b.first, less()); }; - auto [min_x_it, max_x_it] = - std::minmax_element( pw_batch_begin, pw_batch_end, comp_x ); - auto [min_y_it, max_y_it] = - std::minmax_element( pw_batch_begin, pw_batch_end, comp_y ); - auto [min_z_it, max_z_it] = - std::minmax_element( pw_batch_begin, pw_batch_end, comp_z ); + auto [min_x_it, max_x_it] = + std::minmax_element(pw_batch_begin, pw_batch_end, comp_x); + auto [min_y_it, max_y_it] = + std::minmax_element(pw_batch_begin, pw_batch_end, comp_y); + auto [min_z_it, max_z_it] = + std::minmax_element(pw_batch_begin, pw_batch_end, comp_z); const auto min_x = min_x_it->first[0]; const auto max_x = max_x_it->first[0]; @@ -89,38 +77,32 @@ auto get_box_bounds( const auto min_z = min_z_it->first[2]; const auto max_z = max_z_it->first[2]; - return std::make_tuple( - cartesian_pt_t{ min_x, min_y, min_z }, - cartesian_pt_t{ max_x, max_y, max_z } - ); + return std::make_tuple(cartesian_pt_t{min_x, min_y, min_z}, + cartesian_pt_t{max_x, max_y, max_z}); } template -auto get_box_bounds_points( - PIterator p_batch_begin, - PIterator p_batch_end -) { - +auto get_box_bounds_points(PIterator p_batch_begin, PIterator p_batch_end) { using traits = std::iterator_traits; using cart_type = typename traits::value_type::value_type; using less = std::less; auto comp_x = [](const auto& a, const auto& b) { - return comp_coordinate<0>( a, b, less()); + return comp_coordinate<0>(a, b, less()); }; auto comp_y = [](const auto& a, const auto& b) { - return comp_coordinate<1>( a, b, less()); + return comp_coordinate<1>(a, b, less()); }; auto comp_z = [](const auto& a, const auto& b) { - return comp_coordinate<2>( a, b, less()); + return comp_coordinate<2>(a, b, less()); }; - auto [min_x_it, max_x_it] = - std::minmax_element( p_batch_begin, p_batch_end, comp_x ); - auto [min_y_it, max_y_it] = - std::minmax_element( p_batch_begin, p_batch_end, comp_y ); - auto [min_z_it, max_z_it] = - std::minmax_element( p_batch_begin, p_batch_end, comp_z ); + auto [min_x_it, max_x_it] = + std::minmax_element(p_batch_begin, p_batch_end, comp_x); + auto [min_y_it, max_y_it] = + std::minmax_element(p_batch_begin, p_batch_end, comp_y); + auto [min_z_it, max_z_it] = + std::minmax_element(p_batch_begin, p_batch_end, comp_z); const auto min_x = (*min_x_it)[0]; const auto max_x = (*max_x_it)[0]; @@ -129,35 +111,24 @@ auto get_box_bounds_points( const auto min_z = (*min_z_it)[2]; const auto max_z = (*max_z_it)[2]; - return std::make_tuple( - cartesian_pt_t{ min_x, min_y, min_z }, - cartesian_pt_t{ max_x, max_y, max_z } - ); + return std::make_tuple(cartesian_pt_t{min_x, min_y, min_z}, + cartesian_pt_t{max_x, max_y, max_z}); } - - - - template -auto partition_box( - size_t npart, - const cartesian_pt_t& bbox_lo, - const cartesian_pt_t& bbox_up, - pw_iterator pw_batch_begin, - pw_iterator pw_batch_end -) { - +auto partition_box(size_t npart, const cartesian_pt_t& bbox_lo, + const cartesian_pt_t& bbox_up, + pw_iterator pw_batch_begin, pw_iterator pw_batch_end) { const auto extent_x = bbox_up[0] - bbox_lo[0]; const auto extent_y = bbox_up[1] - bbox_lo[1]; const auto extent_z = bbox_up[2] - bbox_lo[2]; - std::vector x_part(npart+1), y_part(npart+1), z_part(npart+1); + std::vector x_part(npart + 1), y_part(npart + 1), z_part(npart + 1); const auto delta_x = extent_x / npart; const auto delta_y = extent_y / npart; const auto delta_z = extent_z / npart; - for( auto i = 0ul; i < npart; ++i ) { + for(auto i = 0ul; i < npart; ++i) { x_part[i] = bbox_lo[0] + i * delta_x; y_part[i] = bbox_lo[1] + i * delta_y; z_part[i] = bbox_lo[2] + i * delta_z; @@ -166,110 +137,89 @@ auto partition_box( y_part.back() = bbox_up[1]; z_part.back() = bbox_up[2]; - std::vector> partition_its = { pw_batch_begin }; + std::vector> partition_its = {pw_batch_begin}; - for( auto i = 0ul; i < npart; ++i ) - for( auto j = 0ul; j < npart; ++j ) - for( auto k = 0ul; k < npart; ++k ) { - std::array box_lo = { - x_part[i], y_part[j], z_part[k] - }; + for(auto i = 0ul; i < npart; ++i) + for(auto j = 0ul; j < npart; ++j) + for(auto k = 0ul; k < npart; ++k) { + std::array box_lo = {x_part[i], y_part[j], z_part[k]}; - std::array box_up = { - x_part[i+1], y_part[j+1], z_part[k+1] - }; + std::array box_up = {x_part[i + 1], y_part[j + 1], z_part[k + 1]}; - auto point_in_this_box = [&]( const auto& pw ) { - return detail::point_in_box( box_lo, box_up, pw.first ); - }; + auto point_in_this_box = [&](const auto& pw) { + return detail::point_in_box(box_lo, box_up, pw.first); + }; - partition_its.emplace_back( - std::partition( partition_its.back(), pw_batch_end, - point_in_this_box ) - ); - } + partition_its.emplace_back(std::partition( + partition_its.back(), pw_batch_end, point_in_this_box)); + } // Remove batches with no points - auto uniq_end = std::unique( partition_its.begin(), partition_its.end() ); - partition_its.erase( uniq_end, partition_its.end() ); + auto uniq_end = std::unique(partition_its.begin(), partition_its.end()); + partition_its.erase(uniq_end, partition_its.end()); partition_its.shrink_to_fit(); return partition_its; - } - - template -auto partition_box( - size_t npart, - PWIterator pw_batch_begin, - PWIterator pw_batch_end -) { - - auto [bbox_lo, bbox_up] = get_box_bounds( pw_batch_begin, pw_batch_end ); - return partition_box( npart, bbox_lo, bbox_up, pw_batch_begin, pw_batch_end ); - +auto partition_box(size_t npart, PWIterator pw_batch_begin, + PWIterator pw_batch_end) { + auto [bbox_lo, bbox_up] = get_box_bounds(pw_batch_begin, pw_batch_end); + return partition_box(npart, bbox_lo, bbox_up, pw_batch_begin, pw_batch_end); } +} // namespace detail - -} - - -template +template class SphericalMicroBatcher { + using quad_type = SphericalQuadratureBase; + static_assert(detail::is_cartesian_quadrature_v); - - using quad_type = SphericalQuadratureBase; - static_assert( detail::is_cartesian_quadrature_v ); - - - using point_type = typename quad_type::point_type; + using point_type = typename quad_type::point_type; using weight_type = typename quad_type::weight_type; - using point_container = typename quad_type::point_container; + using point_container = typename quad_type::point_container; using weight_container = typename quad_type::weight_container; - using index_type = size_t; + using index_type = size_t; using index_container = std::vector; - - using point_iterator = typename point_container::iterator; + using point_iterator = typename point_container::iterator; using weight_iterator = typename weight_container::iterator; - using index_iterator = typename index_container::iterator; + using index_iterator = typename index_container::iterator; - using const_point_iterator = typename point_container::const_iterator; + using const_point_iterator = typename point_container::const_iterator; using const_weight_iterator = typename weight_container::const_iterator; - using const_index_iterator = typename index_container::const_iterator; - + using const_index_iterator = typename index_container::const_iterator; size_t max_batch_sz_; std::shared_ptr quad_; - index_container partition_idx_; + index_container partition_idx_; index_container generate_batches(); - struct iterator { - - using value_type = - std::tuple; - using different_type = size_t; - using pointer = value_type*; - using reference = value_type&; + using value_type = + std::tuple; + using different_type = size_t; + using pointer = value_type*; + using reference = value_type&; using iterator_catagory = std::input_iterator_tag; index_iterator idx_it; - point_iterator point_begin; + point_iterator point_begin; weight_iterator weight_begin; iterator() = delete; - iterator( index_iterator it, point_iterator pb, weight_iterator wb ) : - idx_it(it), point_begin(pb), weight_begin(wb) { } + iterator(index_iterator it, point_iterator pb, weight_iterator wb) + : idx_it(it), point_begin(pb), weight_begin(wb) {} - iterator& operator++(){ idx_it++; return *this; } - iterator operator++(int) { + iterator& operator++() { + idx_it++; + return *this; + } + iterator operator++(int) { iterator retval = *this; ++(*this); return retval; @@ -278,69 +228,52 @@ class SphericalMicroBatcher { iterator& operator+(int i) { idx_it += i; return *this; - } - - bool operator==( iterator other ){ return idx_it == other.idx_it; } - bool operator!=( iterator other ){ return not (*this == other); } - + } + bool operator==(iterator other) { return idx_it == other.idx_it; } + bool operator!=(iterator other) { return not(*this == other); } auto range() { - - const auto idx = *idx_it; - const auto idx_next = *(idx_it+1); + const auto idx = *idx_it; + const auto idx_next = *(idx_it + 1); const auto npts = idx_next - idx; - - return std::make_tuple( - npts, - point_begin + idx, - point_begin + idx + npts, - weight_begin + idx, - weight_begin + idx + npts - ); + return std::make_tuple(npts, point_begin + idx, point_begin + idx + npts, + weight_begin + idx, weight_begin + idx + npts); } value_type operator*() { + auto [npts, pb, pe, wb, we] = range(); + auto [box_lo, box_up] = detail::get_box_bounds_points(pb, pe); - auto [npts,pb,pe,wb,we] = range(); - auto [box_lo, box_up] = detail::get_box_bounds_points(pb, pe); - - return std::make_tuple( - box_lo, - box_up, - std::vector( pb, pe ), - std::vector( wb, we ) - ); - + return std::make_tuple(box_lo, box_up, std::vector(pb, pe), + std::vector(wb, we)); } - - }; - - struct const_iterator { - - using value_type = - std::tuple; - using different_type = size_t; - using pointer = value_type*; - using reference = value_type&; + using value_type = + std::tuple; + using different_type = size_t; + using pointer = value_type*; + using reference = value_type&; using iterator_catagory = std::input_iterator_tag; const_index_iterator idx_it; - const_point_iterator point_begin; + const_point_iterator point_begin; const_weight_iterator weight_begin; const_iterator() = delete; - const_iterator( const_index_iterator it, const_point_iterator pb, - const_weight_iterator wb ) : - idx_it(it), point_begin(pb), weight_begin(wb) { } + const_iterator(const_index_iterator it, const_point_iterator pb, + const_weight_iterator wb) + : idx_it(it), point_begin(pb), weight_begin(wb) {} - const_iterator& operator++(){ idx_it++; return *this; } - const_iterator operator++(int) { + const_iterator& operator++() { + idx_it++; + return *this; + } + const_iterator operator++(int) { const_iterator retval = *this; ++(*this); return retval; @@ -349,321 +282,236 @@ class SphericalMicroBatcher { const_iterator& operator+(int i) { idx_it += i; return *this; - } - - bool operator==( iterator other ){ return idx_it == other.idx_it; } - bool operator!=( iterator other ){ return not (*this == other); } - + } + bool operator==(iterator other) { return idx_it == other.idx_it; } + bool operator!=(iterator other) { return not(*this == other); } auto range() { - - const auto idx = *idx_it; - const auto idx_next = *(idx_it+1); + const auto idx = *idx_it; + const auto idx_next = *(idx_it + 1); const auto npts = idx_next - idx; - - return std::make_tuple( - npts, - point_begin + idx, - point_begin + idx + npts, - weight_begin + idx, - weight_begin + idx + npts - ); + return std::make_tuple(npts, point_begin + idx, point_begin + idx + npts, + weight_begin + idx, weight_begin + idx + npts); } value_type operator*() { + auto [npts, pb, pe, wb, we] = range(); + auto [box_lo, box_up] = detail::get_box_bounds_points(pb, pe); - auto [npts,pb,pe,wb,we] = range(); - auto [box_lo, box_up] = detail::get_box_bounds_points(pb, pe); - - return std::make_tuple( - box_lo, - box_up, - std::vector( pb, pe ), - std::vector( wb, we ) - ); - + return std::make_tuple(box_lo, box_up, std::vector(pb, pe), + std::vector(wb, we)); } - - }; -public: - - SphericalMicroBatcher( size_t batch_size, std::shared_ptr quad, - index_container part_idx ) : - max_batch_sz_(batch_size), quad_(quad), partition_idx_(part_idx) { } - - - SphericalMicroBatcher( size_t batch_size, std::shared_ptr quad ) : - max_batch_sz_(batch_size), quad_(quad) { + public: + SphericalMicroBatcher(size_t batch_size, std::shared_ptr quad, + index_container part_idx) + : max_batch_sz_(batch_size), quad_(quad), partition_idx_(part_idx) {} + SphericalMicroBatcher(size_t batch_size, std::shared_ptr quad) + : max_batch_sz_(batch_size), quad_(quad) { partition_idx_ = generate_batches(); - } - + template - using enable_if_spherical_quad = - std::enable_if< std::is_base_of_v >; + using enable_if_spherical_quad = + std::enable_if>; template - using enable_if_spherical_quad_t = - typename enable_if_spherical_quad::type; - - - template > - SphericalMicroBatcher( size_t batch_size, const Quad& quad ): - SphericalMicroBatcher( - batch_size, - std::make_shared( quad ) - ) { } - - - template > - SphericalMicroBatcher( size_t batch_size, const Quad& quad, index_container idx ): - SphericalMicroBatcher( - batch_size, - std::make_shared( quad ), - idx - ) { } - - template > - SphericalMicroBatcher( size_t batch_size, Quad&& quad ): - SphericalMicroBatcher( - batch_size, - std::make_shared( std::move(quad) ) - ) { } - - - template > - SphericalMicroBatcher( size_t batch_size, Quad&& quad, index_container idx ): - SphericalMicroBatcher( - batch_size, - std::make_shared( std::move(quad) ), - idx - ) { } - - - - iterator begin() { - return iterator( partition_idx_.begin(), quad_->points().begin(), - quad_->weights().begin() ); + using enable_if_spherical_quad_t = + typename enable_if_spherical_quad::type; + + template > + SphericalMicroBatcher(size_t batch_size, const Quad& quad) + : SphericalMicroBatcher(batch_size, std::make_shared(quad)) {} + + template > + SphericalMicroBatcher(size_t batch_size, const Quad& quad, + index_container idx) + : SphericalMicroBatcher(batch_size, std::make_shared(quad), idx) {} + + template > + SphericalMicroBatcher(size_t batch_size, Quad&& quad) + : SphericalMicroBatcher(batch_size, + std::make_shared(std::move(quad))) {} + + template > + SphericalMicroBatcher(size_t batch_size, Quad&& quad, index_container idx) + : SphericalMicroBatcher(batch_size, + std::make_shared(std::move(quad)), idx) {} + + iterator begin() { + return iterator(partition_idx_.begin(), quad_->points().begin(), + quad_->weights().begin()); } - iterator end() { - return iterator( partition_idx_.end()-1, quad_->points().begin(), - quad_->weights().begin() ); + iterator end() { + return iterator(partition_idx_.end() - 1, quad_->points().begin(), + quad_->weights().begin()); } - const_iterator cbegin() const { - return const_iterator( partition_idx_.cbegin(), quad_->points().cbegin(), - quad_->weights().cbegin() ); + const_iterator cbegin() const { + return const_iterator(partition_idx_.cbegin(), quad_->points().cbegin(), + quad_->weights().cbegin()); } - const_iterator cend() const { - return const_iterator( partition_idx_.cend()-1, quad_->points().cbegin(), - quad_->weights().cbegin() ); + const_iterator cend() const { + return const_iterator(partition_idx_.cend() - 1, quad_->points().cbegin(), + quad_->weights().cbegin()); } - typename iterator::value_type at( size_t i ) { - if( i >= nbatches() ) - throw std::runtime_error("Index out of bounds"); + typename iterator::value_type at(size_t i) { + if(i >= nbatches()) throw std::runtime_error("Index out of bounds"); return *(begin() + i); } - typename const_iterator::value_type at( size_t i ) const { - if( i >= nbatches() ) - throw std::runtime_error("Index out of bounds"); + typename const_iterator::value_type at(size_t i) const { + if(i >= nbatches()) throw std::runtime_error("Index out of bounds"); return *(cbegin() + i); } - - SphericalMicroBatcher( const SphericalMicroBatcher& ) = default; - SphericalMicroBatcher( SphericalMicroBatcher&& ) noexcept = default; - + SphericalMicroBatcher(const SphericalMicroBatcher&) = default; + SphericalMicroBatcher(SphericalMicroBatcher&&) noexcept = default; SphericalMicroBatcher clone() const { - return SphericalMicroBatcher( max_batch_sz_, quad_->clone(), partition_idx_ ); + return SphericalMicroBatcher(max_batch_sz_, quad_->clone(), partition_idx_); } - - const quad_type& quadrature() const { return *quad_; } - quad_type& quadrature() { return *quad_; } + quad_type& quadrature() { return *quad_; } - const point_container& points() const { return quad_->points(); } - point_container& points() { return quad_->points(); } + const point_container& points() const { return quad_->points(); } + point_container& points() { return quad_->points(); } const weight_container& weights() const { return quad_->weights(); } - weight_container& weights() { return quad_->weights(); } - - - + weight_container& weights() { return quad_->weights(); } - size_t npts() const { return quad_->npts(); } - size_t nbatches() const { return partition_idx_.size()-1; } - size_t max_batch_size() const { return max_batch_sz_; } - - - inline void recenter( point_type new_center ) { - quad_->recenter(new_center); - } + size_t npts() const { return quad_->npts(); } + size_t nbatches() const { return partition_idx_.size() - 1; } + size_t max_batch_size() const { return max_batch_sz_; } + inline void recenter(point_type new_center) { quad_->recenter(new_center); } }; template -std::vector SphericalMicroBatcher::generate_batches() { - - - - std::vector> q( quad_->npts() ); - for( size_t i = 0; i < quad_->npts(); ++i ) { - q[i] = { quad_->points()[i], quad_->weights()[i] }; +std::vector +SphericalMicroBatcher::generate_batches() { + std::vector> q(quad_->npts()); + for(size_t i = 0; i < quad_->npts(); ++i) { + q[i] = {quad_->points()[i], quad_->weights()[i]}; } auto part_st = std::chrono::high_resolution_clock::now(); - - - auto partition_its = detail::partition_box( 3, q.begin(), q.end() ); - auto nparts = partition_its.size()-1; - std::vector part_counts( nparts ); - for( auto ip = 0ul; ip < nparts; ++ip ) { - part_counts[ip] = std::distance(partition_its[ip], partition_its[ip+1]); + auto partition_its = detail::partition_box(3, q.begin(), q.end()); + auto nparts = partition_its.size() - 1; + std::vector part_counts(nparts); + for(auto ip = 0ul; ip < nparts; ++ip) { + part_counts[ip] = std::distance(partition_its[ip], partition_its[ip + 1]); } - size_t refine_iter = 0; - auto check_max_batch = [&]( size_t bsz ){ return bsz > max_batch_sz_; }; - while( std::any_of( part_counts.begin(), part_counts.end(), - check_max_batch ) ) { - + auto check_max_batch = [&](size_t bsz) { return bsz > max_batch_sz_; }; + while(std::any_of(part_counts.begin(), part_counts.end(), check_max_batch)) { #if INTEGRATORXX_VERBOSITY_LEVEL > 0 - std::cout << "REFINE ITER = " << std::setw(4) << refine_iter - << " NBATCH = " << std::setw(6) << nparts - << " MAX BATCH = " << *std::max_element(part_counts.begin(), part_counts.end() ) << std::endl; + std::cout << "REFINE ITER = " << std::setw(4) << refine_iter + << " NBATCH = " << std::setw(6) << nparts << " MAX BATCH = " + << *std::max_element(part_counts.begin(), part_counts.end()) + << std::endl; #endif refine_iter++; - // Partition large boxes - decltype( partition_its ) new_part_its; + decltype(partition_its) new_part_its; - for( auto ip = 0ul; ip < nparts; ++ip ) - if( check_max_batch( part_counts[ip] ) ) { + for(auto ip = 0ul; ip < nparts; ++ip) + if(check_max_batch(part_counts[ip])) { + auto batch_st = partition_its[ip]; + auto batch_en = partition_its[ip + 1]; - auto batch_st = partition_its[ip]; - auto batch_en = partition_its[ip+1]; + auto [bbox_lo, bbox_up] = detail::get_box_bounds(batch_st, batch_en); - auto [bbox_lo, bbox_up] = detail::get_box_bounds( batch_st, batch_en ); - - auto npart_batch = - detail::point_in_box( bbox_lo, bbox_up, {0., 0., 0.} ) ? 3 : 2; + auto npart_batch = + detail::point_in_box(bbox_lo, bbox_up, {0., 0., 0.}) ? 3 : 2; - auto batch_part_its = - detail::partition_box( npart_batch, bbox_lo, bbox_up, batch_st, batch_en ); + auto batch_part_its = detail::partition_box( + npart_batch, bbox_lo, bbox_up, batch_st, batch_en); - new_part_its.insert( new_part_its.end(), batch_part_its.begin(), - batch_part_its.end() ); - } + new_part_its.insert(new_part_its.end(), batch_part_its.begin(), + batch_part_its.end()); + } // Sort and remove duplicate iterators of newly added partitions - std::sort( new_part_its.begin(), new_part_its.end() ); - auto uniq_new_part_end = - std::unique( new_part_its.begin(), new_part_its.end() ); - new_part_its.erase( uniq_new_part_end, new_part_its.end() ); + std::sort(new_part_its.begin(), new_part_its.end()); + auto uniq_new_part_end = + std::unique(new_part_its.begin(), new_part_its.end()); + new_part_its.erase(uniq_new_part_end, new_part_its.end()); // Take union of new and old (XXX Should already by sorted) - decltype( partition_its ) union_part_its; - std::set_union( - partition_its.begin(), partition_its.end(), - new_part_its.begin(), new_part_its.end(), - std::back_inserter( union_part_its ) - ); - + decltype(partition_its) union_part_its; + std::set_union(partition_its.begin(), partition_its.end(), + new_part_its.begin(), new_part_its.end(), + std::back_inserter(union_part_its)); + // Compute new partition sizes - partition_its = std::move( union_part_its ); - nparts = partition_its.size()-1; - part_counts.resize( nparts ); - for( auto ip = 0ul; ip < nparts; ++ip ) { - part_counts[ip] = std::distance(partition_its[ip], partition_its[ip+1]); + partition_its = std::move(union_part_its); + nparts = partition_its.size() - 1; + part_counts.resize(nparts); + for(auto ip = 0ul; ip < nparts; ++ip) { + part_counts[ip] = std::distance(partition_its[ip], partition_its[ip + 1]); } - - - } #if INTEGRATORXX_VERBOSITY_LEVEL > 0 std::cout << std::endl; - std::cout << "FINAL NBATCH = " << nparts << " FINAL MAX BATCH = " << *std::max_element(part_counts.begin(), part_counts.end() ) << std::endl; + std::cout << "FINAL NBATCH = " << nparts << " FINAL MAX BATCH = " + << *std::max_element(part_counts.begin(), part_counts.end()) + << std::endl; #endif - - - - - - - - - - auto part_en = std::chrono::high_resolution_clock::now(); - double part_dur = std::chrono::duration( part_en-part_st ).count(); + double part_dur = + std::chrono::duration(part_en - part_st).count(); #if INTEGRATORXX_VERBOSITY_LEVEL > 0 std::cout << "Part Dur = " << part_dur << std::endl; #else - (void)(part_dur); // Unused pascification + (void)(part_dur); // Unused pascification #endif - - for( size_t i = 0; i < quad_->npts(); ++i ) - std::tie( quad_->points()[i], quad_->weights()[i] ) = q[i]; + for(size_t i = 0; i < quad_->npts(); ++i) + std::tie(quad_->points()[i], quad_->weights()[i]) = q[i]; auto npart = partition_its.size(); - std::vector partition_idx( partition_its.size() ); - for( size_t i = 0; i < npart; ++i ) - partition_idx[i] = std::distance( q.begin(), partition_its[i] ); - - return partition_idx; + std::vector partition_idx(partition_its.size()); + for(size_t i = 0; i < npart; ++i) + partition_idx[i] = std::distance(q.begin(), partition_its[i]); + return partition_idx; } - - - template -SphericalMicroBatcher< - typename QuadType::point_container, - typename QuadType::weight_container -> make_batcher( size_t batch_size, const QuadType& quad ) { - +SphericalMicroBatcher +make_batcher(size_t batch_size, const QuadType& quad) { using point_container = typename QuadType::point_container; using weight_container = typename QuadType::weight_container; - return SphericalMicroBatcher( - batch_size, quad - ); - + return SphericalMicroBatcher(batch_size, + quad); } template -SphericalMicroBatcher< - typename QuadType::point_container, - typename QuadType::weight_container -> make_batcher( size_t batch_size, QuadType&& quad ) { - +SphericalMicroBatcher +make_batcher(size_t batch_size, QuadType&& quad) { using point_container = typename QuadType::point_container; using weight_container = typename QuadType::weight_container; - return SphericalMicroBatcher( - batch_size, std::move(quad) - ); - + return SphericalMicroBatcher( + batch_size, std::move(quad)); } - - -} +} // namespace IntegratorXX diff --git a/include/integratorxx/composite_quadratures/product_quadrature.hpp b/include/integratorxx/composite_quadratures/product_quadrature.hpp index 4268570..5b4dc2f 100644 --- a/include/integratorxx/composite_quadratures/product_quadrature.hpp +++ b/include/integratorxx/composite_quadratures/product_quadrature.hpp @@ -1,98 +1,83 @@ #pragma once #include +#include +#include namespace IntegratorXX { template -class ProductQuadrature { - -private: - - using traits = quadrature_traits>; - -protected: +class ProductQuadrature { + private: + using traits = quadrature_traits>; + protected: std::unique_ptr> quad1_; std::unique_ptr> quad2_; -public: - - using point_type = typename traits::point_type; - using weight_type = typename traits::weight_type; - using point_container = typename traits::point_container; + public: + using point_type = typename traits::point_type; + using weight_type = typename traits::weight_type; + using point_container = typename traits::point_container; using weight_container = typename traits::weight_container; - ProductQuadrature( const Quadrature& q1, const Quadrature& q2 ) : - quad1_( std::make_unique>(q1) ), - quad2_( std::make_unique>(q2) ){ } - - ProductQuadrature( Quadrature&& q1, Quadrature&& q2 ) : - quad1_( std::make_unique>(std::move(q1)) ), - quad2_( std::make_unique>(std::move(q2)) ){ } + ProductQuadrature(const Quadrature& q1, const Quadrature& q2) + : quad1_(std::make_unique>(q1)), + quad2_(std::make_unique>(q2)) {} + ProductQuadrature(Quadrature&& q1, Quadrature&& q2) + : quad1_(std::make_unique>(std::move(q1))), + quad2_(std::make_unique>(std::move(q2))) {} - ProductQuadrature( const ProductQuadrature& other ) : - ProductQuadrature( *other.quad1_, *other.quad2_ ) { } - ProductQuadrature( ProductQuadrature&& other ) noexcept : - ProductQuadrature( std::move(*other.quad1_), std::move(*other.quad2_) ) { } - + ProductQuadrature(const ProductQuadrature& other) + : ProductQuadrature(*other.quad1_, *other.quad2_) {} + ProductQuadrature(ProductQuadrature&& other) noexcept + : ProductQuadrature(std::move(*other.quad1_), std::move(*other.quad2_)) {} }; - - template -struct quadrature_traits< ProductQuadrature > { - +struct quadrature_traits> { using quad1_traits = quadrature_traits; using quad2_traits = quadrature_traits; - using quad1_point_type = typename quad1_traits::point_type; + using quad1_point_type = typename quad1_traits::point_type; using quad1_weight_type = typename quad1_traits::weight_type; - using quad2_point_type = typename quad2_traits::point_type; + using quad2_point_type = typename quad2_traits::point_type; using quad2_weight_type = typename quad2_traits::weight_type; - using point_type = std::invoke_result_t< - CombineOp, const quad1_point_type&, const quad2_point_type& - >; - using weight_type = std::invoke_result_t< - CombineOp, const quad1_weight_type&, const quad2_weight_type& - >; + using point_type = std::invoke_result_t; + using weight_type = std::invoke_result_t; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; - - inline static std::tuple - generate( const Quadrature& q1, const Quadrature& q2 ) { + using point_container = std::vector; + using weight_container = std::vector; + inline static std::tuple generate( + const Quadrature& q1, const Quadrature& q2) { const auto npts1 = q1.npts(); const auto npts2 = q2.npts(); const auto npts = npts1 * npts2; - point_container points( npts ); - weight_container weights( npts ); - - const auto& points1 = q1.points(); + point_container points(npts); + weight_container weights(npts); + + const auto& points1 = q1.points(); const auto& weights1 = q1.weights(); - const auto& points2 = q2.points(); + const auto& points2 = q2.points(); const auto& weights2 = q2.weights(); CombineOp op; - for( size_t j = 0; j < npts2; ++j ) - for( size_t i = 0; i < npts1; ++i ) { - - const auto ij = i + j*npts1; - points[ij] = op(points1[i], points2[j] ); - weights[ij] = op(weights1[i], weights2[j]); - - } + for(size_t j = 0; j < npts2; ++j) + for(size_t i = 0; i < npts1; ++i) { + const auto ij = i + j * npts1; + points[ij] = op(points1[i], points2[j]); + weights[ij] = op(weights1[i], weights2[j]); + } - return std::make_tuple( points, weights ); + return std::make_tuple(points, weights); } - - - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp b/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp index 5be506f..9542017 100644 --- a/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp +++ b/include/integratorxx/composite_quadratures/pruned_spherical_quadrature.hpp @@ -2,62 +2,57 @@ #include #include -#include #include - +#include #include namespace IntegratorXX { template class RadialGridPartition { - - std::vector partition_idx_; + std::vector partition_idx_; std::vector> quads_; template - inline void add_quads(const RadialQuad& rq) { finalize(rq); } + inline void add_quads(const RadialQuad& rq) { + finalize(rq); + } template - void add_quads( const RadialQuad& rq, size_t idx, - const Quadrature& q, - Args&&... args ) { - + void add_quads(const RadialQuad& rq, size_t idx, + const Quadrature& q, Args&&... args) { add_quad(rq, idx, q); - add_quads( rq, std::forward(args)...); + add_quads(rq, std::forward(args)...); } - - -public: - + public: template - void add_quad( const RadialQuad& rq, size_t idx, - const Quadrature& q ) { - assert(partition_idx_.size() ? - (idx > partition_idx_.back() && idx < (rq.npts()-1)) : (idx == 0)); + void add_quad(const RadialQuad& rq, size_t idx, + const Quadrature& q) { + assert(partition_idx_.size() + ? (idx > partition_idx_.back() && idx < (rq.npts() - 1)) + : (idx == 0)); (void)(rq); partition_idx_.emplace_back(idx); quads_.emplace_back(q); } - template - void finalize( const RadialQuad& rq ) { - if( partition_idx_.back() != rq.npts() ) - partition_idx_.emplace_back( rq.npts() ); + void finalize(const RadialQuad& rq) { + if(partition_idx_.back() != rq.npts()) + partition_idx_.emplace_back(rq.npts()); } using angular_type = AngularQuad; RadialGridPartition() = default; - RadialGridPartition(const RadialGridPartition& other) : - partition_idx_(other.partition_idx_), quads_(other.quads_) { }; - RadialGridPartition(RadialGridPartition&& other) noexcept : - partition_idx_(std::move(other.partition_idx_)), - quads_(std::move(other.quads_)){ }; + RadialGridPartition(const RadialGridPartition& other) + : partition_idx_(other.partition_idx_), quads_(other.quads_){}; + RadialGridPartition(RadialGridPartition&& other) noexcept + : partition_idx_(std::move(other.partition_idx_)), + quads_(std::move(other.quads_)){}; RadialGridPartition& operator=(const RadialGridPartition& other) { partition_idx_ = other.partition_idx_; @@ -71,242 +66,204 @@ class RadialGridPartition { } template - RadialGridPartition( const RadialQuad& rq, size_t idx, - const Quadrature& q, Args&&... args ) { - add_quads( rq, idx, q, std::forward(args)... ); + RadialGridPartition(const RadialQuad& rq, size_t idx, + const Quadrature& q, Args&&... args) { + add_quads(rq, idx, q, std::forward(args)...); } auto& partition_idx() { return partition_idx_; } template struct rgp_iterator { - - using index_range_type = std::pair; - using quad_type = Quadrature; + using index_range_type = std::pair; + using quad_type = Quadrature; using value_type = std::pair; - using difference_type = size_t; - using pointer = value_type*; - using reference = value_type&; + using difference_type = size_t; + using pointer = value_type*; + using reference = value_type&; using iterator_catagory = std::input_iterator_tag; index_iterator idx_it; - quad_iterator quad_it; + quad_iterator quad_it; rgp_iterator() = delete; - rgp_iterator( index_iterator ii, quad_iterator pi ) : - idx_it(ii), quad_it(pi) { } + rgp_iterator(index_iterator ii, quad_iterator pi) + : idx_it(ii), quad_it(pi) {} - rgp_iterator& operator++(){ idx_it++; quad_it++; return *this; } - rgp_iterator operator++(int) { + rgp_iterator& operator++() { + idx_it++; + quad_it++; + return *this; + } + rgp_iterator operator++(int) { iterator retval = *this; ++(*this); return retval; } rgp_iterator& operator+(int i) { - idx_it += i; + idx_it += i; quad_it += i; return (*this); } - bool operator==(rgp_iterator other) const { - return idx_it == other.idx_it and quad_it == other.quad_it; + bool operator==(rgp_iterator other) const { + return idx_it == other.idx_it and quad_it == other.quad_it; } - bool operator!=(rgp_iterator other) const { return not (*this == other); } + bool operator!=(rgp_iterator other) const { return not(*this == other); } value_type operator*() { - return std::make_pair( std::make_pair(*idx_it, *(idx_it+1)), *quad_it ); + return std::make_pair(std::make_pair(*idx_it, *(idx_it + 1)), *quad_it); } }; - using iterator = rgp_iterator< typename decltype(partition_idx_)::iterator, - typename decltype(quads_)::iterator>; - using const_iterator = - rgp_iterator; - + using iterator = rgp_iterator; + using const_iterator = + rgp_iterator; - iterator begin() { - return iterator( partition_idx_.begin(), quads_.begin() ); - } - iterator end() { - return iterator( partition_idx_.end()-1, quads_.end() ); - } + iterator begin() { return iterator(partition_idx_.begin(), quads_.begin()); } + iterator end() { return iterator(partition_idx_.end() - 1, quads_.end()); } const_iterator cbegin() const { - return const_iterator( partition_idx_.cbegin(), quads_.cbegin() ); + return const_iterator(partition_idx_.cbegin(), quads_.cbegin()); } const_iterator cend() const { - return const_iterator( partition_idx_.cend()-1, quads_.cend() ); + return const_iterator(partition_idx_.cend() - 1, quads_.cend()); } const_iterator begin() const { - return const_iterator( partition_idx_.cbegin(), quads_.cbegin() ); + return const_iterator(partition_idx_.cbegin(), quads_.cbegin()); } const_iterator end() const { - return const_iterator( partition_idx_.cend()-1, quads_.cend() ); + return const_iterator(partition_idx_.cend() - 1, quads_.cend()); } }; template -class PrunedSphericalQuadrature : - public Quadrature>, - public SphericalQuadratureBase< - typename AngularQuad::point_container, - typename AngularQuad::weight_container - > { - - - using self_type = PrunedSphericalQuadrature; - using traits = quadrature_traits; - - using sph_base = SphericalQuadratureBase< - typename AngularQuad::point_container, - typename AngularQuad::weight_container - >; - -public: - +class PrunedSphericalQuadrature + : public Quadrature>, + public SphericalQuadratureBase { + using self_type = PrunedSphericalQuadrature; + using traits = quadrature_traits; + + using sph_base = + SphericalQuadratureBase; + + public: using quad_base_type = Quadrature; - using point_type = typename traits::point_type; - using weight_type = typename traits::weight_type; - using point_container = typename traits::point_container; + using point_type = typename traits::point_type; + using weight_type = typename traits::weight_type; + using point_container = typename traits::point_container; using weight_container = typename traits::weight_container; -protected: - - const point_container& sph_points_adaptor() const override { + protected: + const point_container& sph_points_adaptor() const override { return quad_base_type::points(); } - point_container& sph_points_adaptor() override {; + point_container& sph_points_adaptor() override { + ; return quad_base_type::points(); } - const weight_container& sph_weights_adaptor() const override {; + const weight_container& sph_weights_adaptor() const override { + ; return quad_base_type::weights(); } - weight_container& sph_weights_adaptor() override {; + weight_container& sph_weights_adaptor() override { + ; return quad_base_type::weights(); } -public: - - PrunedSphericalQuadrature( - const Quadrature& rq, - const RadialGridPartition& rgp, - const point_type cen = point_type({0., 0., 0.}) - ) : - quad_base_type( rq, rgp, cen ), - sph_base(cen) { } - - - PrunedSphericalQuadrature( const PrunedSphericalQuadrature& ) = default; - PrunedSphericalQuadrature( PrunedSphericalQuadrature&& ) noexcept = default; + public: + PrunedSphericalQuadrature(const Quadrature& rq, + const RadialGridPartition& rgp, + const point_type cen = point_type({0., 0., 0.})) + : quad_base_type(rq, rgp, cen), sph_base(cen) {} + PrunedSphericalQuadrature(const PrunedSphericalQuadrature&) = default; + PrunedSphericalQuadrature(PrunedSphericalQuadrature&&) noexcept = default; const auto& points() const { return quad_base_type::points(); } - auto& points() { return quad_base_type::points(); } + auto& points() { return quad_base_type::points(); } const auto& weights() const { return quad_base_type::weights(); } - auto& weights() { return quad_base_type::weights(); } + auto& weights() { return quad_base_type::weights(); } size_t npts() const { return quad_base_type::npts(); } - std::shared_ptr clone() const override { - return std::make_shared( *this ); + return std::make_shared(*this); } - -}; - - - - +}; template -struct quadrature_traits< - PrunedSphericalQuadrature -> { - +struct quadrature_traits> { using radial_subquad_type = SubQuadrature; - using prod_type = ProductQuadrature< - detail::spherical_combine_op, - radial_subquad_type, - AngularQuad - >; + using prod_type = ProductQuadrature< + detail::spherical_combine_op, + radial_subquad_type, AngularQuad>; - using radial_subquad_traits = quadrature_traits< radial_subquad_type>; - using prod_traits = quadrature_traits< prod_type >; + using radial_subquad_traits = quadrature_traits; + using prod_traits = quadrature_traits; - using radial_traits = quadrature_traits< RadialQuad >; + using radial_traits = quadrature_traits; using radial_point_container = typename radial_traits::point_container; - using point_type = typename prod_traits::point_type; - using weight_type = typename prod_traits::weight_type; - using point_container = typename prod_traits::point_container; + using point_type = typename prod_traits::point_type; + using weight_type = typename prod_traits::weight_type; + using point_container = typename prod_traits::point_container; using weight_container = typename prod_traits::weight_container; - - inline static void shift_grid( point_container& points, point_type vector ) { - + inline static void shift_grid(point_container& points, point_type vector) { size_t npts = points.size(); - for( size_t i = 0; i < npts; ++i ) { + for(size_t i = 0; i < npts; ++i) { auto& p = points[i]; p[0] += vector[0]; p[1] += vector[1]; p[2] += vector[2]; } - } - - inline static std::tuple - generate( - const Quadrature& r, - const RadialGridPartition& rgp, - const point_type& cen - ) { - - point_container points; + inline static std::tuple generate( + const Quadrature& r, + const RadialGridPartition& rgp, const point_type& cen) { + point_container points; weight_container weights; // Loop over angular quadratures + associated ranges - for( const auto&& [r_range, a] : std::as_const(rgp) ) { - + for(const auto&& [r_range, a] : std::as_const(rgp)) { // Generate radial subquadrature - radial_subquad_type r_subquad( r_range, r ); + radial_subquad_type r_subquad(r_range, r); // Generate product subquadrature - auto [sub_points, sub_weights] = prod_traits::generate( r_subquad, a ); + auto [sub_points, sub_weights] = prod_traits::generate(r_subquad, a); // Include Spherical Jacobian - const auto npr = r_subquad.npts(); - const auto npa = a.npts(); + const auto npr = r_subquad.npts(); + const auto npa = a.npts(); const auto& rp = r_subquad.points(); // Include Spherical Jacobian - for( size_t j = 0; j < npa; ++j ) - for( size_t i = 0; i < npr; ++i ) { - - const auto ij = i + j * npr; - sub_weights[ij] *= 4 * M_PI * rp[i] * rp[i]; - - } + for(size_t j = 0; j < npa; ++j) + for(size_t i = 0; i < npr; ++i) { + const auto ij = i + j * npr; + sub_weights[ij] *= 4 * M_PI * rp[i] * rp[i]; + } // Insert points/weights into final storage - points.insert( points.end(), sub_points.begin(), sub_points.end() ); - weights.insert( weights.end(), sub_weights.begin(), sub_weights.end() ); + points.insert(points.end(), sub_points.begin(), sub_points.end()); + weights.insert(weights.end(), sub_weights.begin(), sub_weights.end()); } - // Recenter - shift_grid( points, cen ); - - return std::make_tuple( points, weights ); + shift_grid(points, cen); + return std::make_tuple(points, weights); } - - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/composite_quadratures/spherical_quadrature.hpp b/include/integratorxx/composite_quadratures/spherical_quadrature.hpp index 45119d6..19dc51e 100644 --- a/include/integratorxx/composite_quadratures/spherical_quadrature.hpp +++ b/include/integratorxx/composite_quadratures/spherical_quadrature.hpp @@ -1,8 +1,8 @@ #pragma once #include -#include #include +#include namespace IntegratorXX { @@ -10,51 +10,41 @@ namespace detail { template struct spherical_combine_op { - - cartesian_pt_t - operator()( const RealType& r, const cartesian_pt_t& a ) { - return { r*a[0], r*a[1], r*a[2] }; - } - - RealType operator()( const RealType& x, const RealType& y ) { - return x*y; + cartesian_pt_t operator()(const RealType& r, + const cartesian_pt_t& a) { + return {r * a[0], r * a[1], r * a[2]}; } + RealType operator()(const RealType& x, const RealType& y) { return x * y; } }; -} - - -template -class SphericalQuadratureBase { - -public: +} // namespace detail - using point_container = PointContainer; - using weight_container = WeightContainer; +template +class SphericalQuadratureBase { + public: + using point_container = PointContainer; + using weight_container = WeightContainer; - using weight_type = typename weight_container::value_type; - using point_type = typename point_container::value_type; - -protected: + using weight_type = typename weight_container::value_type; + using point_type = typename point_container::value_type; + protected: point_type center_; virtual const point_container& sph_points_adaptor() const = 0; - virtual point_container& sph_points_adaptor() = 0; + virtual point_container& sph_points_adaptor() = 0; virtual const weight_container& sph_weights_adaptor() const = 0; - virtual weight_container& sph_weights_adaptor() = 0; - -public: + virtual weight_container& sph_weights_adaptor() = 0; - SphericalQuadratureBase( point_type center ) : center_(center) { } + public: + SphericalQuadratureBase(point_type center) : center_(center) {} virtual ~SphericalQuadratureBase() noexcept = default; - - auto center() const { return center_; } - inline void recenter( point_type new_center ) { + auto center() const { return center_; } - if( new_center != center_ ) { + inline void recenter(point_type new_center) { + if(new_center != center_) { point_type shift = new_center; shift[0] -= center_[0]; shift[1] -= center_[1]; @@ -62,7 +52,7 @@ class SphericalQuadratureBase { auto& points_ = points(); size_t npts = points_.size(); - for( size_t i = 0; i < npts; ++i ) { + for(size_t i = 0; i < npts; ++i) { auto& p = points_[i]; p[0] += shift[0]; p[1] += shift[1]; @@ -71,173 +61,121 @@ class SphericalQuadratureBase { center_ = new_center; } - } const point_container& points() const { return sph_points_adaptor(); } - point_container& points() { return sph_points_adaptor(); } + point_container& points() { return sph_points_adaptor(); } const weight_container& weights() const { return sph_weights_adaptor(); } - weight_container& weights() { return sph_weights_adaptor(); } + weight_container& weights() { return sph_weights_adaptor(); } - size_t npts() const { return points().size(); } virtual std::shared_ptr clone() const = 0; - }; - - - - - - - - - - - - - - template -class SphericalQuadrature : - public Quadrature>, - public SphericalQuadratureBase< - typename AngularQuad::point_container, - typename AngularQuad::weight_container - > { - - - using self_type = SphericalQuadrature; - using traits = quadrature_traits; - - using sph_base = SphericalQuadratureBase< - typename AngularQuad::point_container, - typename AngularQuad::weight_container - >; - - -public: - - using quad_base_type = Quadrature>; - - using point_type = typename traits::point_type; - using weight_type = typename traits::weight_type; - using point_container = typename traits::point_container; +class SphericalQuadrature + : public Quadrature>, + public SphericalQuadratureBase { + using self_type = SphericalQuadrature; + using traits = quadrature_traits; + + using sph_base = + SphericalQuadratureBase; + + public: + using quad_base_type = + Quadrature>; + + using point_type = typename traits::point_type; + using weight_type = typename traits::weight_type; + using point_container = typename traits::point_container; using weight_container = typename traits::weight_container; -protected: - - const point_container& sph_points_adaptor() const override { + protected: + const point_container& sph_points_adaptor() const override { return quad_base_type::points(); } - point_container& sph_points_adaptor() override {; + point_container& sph_points_adaptor() override { + ; return quad_base_type::points(); } - const weight_container& sph_weights_adaptor() const override {; + const weight_container& sph_weights_adaptor() const override { + ; return quad_base_type::weights(); } - weight_container& sph_weights_adaptor() override {; + weight_container& sph_weights_adaptor() override { + ; return quad_base_type::weights(); } -public: - - SphericalQuadrature( - const Quadrature& rq, - const Quadrature& aq, - const point_type cen = point_type({0., 0., 0.}) - ) : - quad_base_type( rq, aq, cen ), - sph_base(cen) { } - - - SphericalQuadrature( const SphericalQuadrature& ) = default; - SphericalQuadrature( SphericalQuadrature&& ) noexcept = default; + public: + SphericalQuadrature(const Quadrature& rq, + const Quadrature& aq, + const point_type cen = point_type({0., 0., 0.})) + : quad_base_type(rq, aq, cen), sph_base(cen) {} + SphericalQuadrature(const SphericalQuadrature&) = default; + SphericalQuadrature(SphericalQuadrature&&) noexcept = default; const auto& points() const { return quad_base_type::points(); } - auto& points() { return quad_base_type::points(); } + auto& points() { return quad_base_type::points(); } const auto& weights() const { return quad_base_type::weights(); } - auto& weights() { return quad_base_type::weights(); } + auto& weights() { return quad_base_type::weights(); } size_t npts() const { return quad_base_type::npts(); } - std::shared_ptr clone() const override { - return std::make_shared( *this ); + return std::make_shared(*this); } - -}; - - - - +}; template -struct quadrature_traits< - SphericalQuadrature -> { - - using prod_type = ProductQuadrature< - detail::spherical_combine_op, - RadialQuad, - AngularQuad - >; - using prod_traits = quadrature_traits< prod_type >; - - using point_type = typename prod_traits::point_type; - using weight_type = typename prod_traits::weight_type; - using point_container = typename prod_traits::point_container; +struct quadrature_traits> { + using prod_type = ProductQuadrature< + detail::spherical_combine_op, RadialQuad, + AngularQuad>; + using prod_traits = quadrature_traits; + + using point_type = typename prod_traits::point_type; + using weight_type = typename prod_traits::weight_type; + using point_container = typename prod_traits::point_container; using weight_container = typename prod_traits::weight_container; - - inline static void shift_grid( point_container& points, point_type vector ) { - + inline static void shift_grid(point_container& points, point_type vector) { size_t npts = points.size(); - for( size_t i = 0; i < npts; ++i ) { + for(size_t i = 0; i < npts; ++i) { auto& p = points[i]; p[0] += vector[0]; p[1] += vector[1]; p[2] += vector[2]; } - } + inline static std::tuple generate( + const Quadrature& r, const Quadrature& a, + const point_type& cen) { + auto [points, weights] = prod_traits::generate(r, a); - - inline static std::tuple - generate( - const Quadrature& r, - const Quadrature& a, - const point_type& cen - ) { - - auto [points, weights] = prod_traits::generate(r, a); - - const auto npr = r.npts(); - const auto npa = a.npts(); + const auto npr = r.npts(); + const auto npa = a.npts(); const auto& rp = r.points(); // Include Spherical Jacobian - for( size_t j = 0; j < npa; ++j ) - for( size_t i = 0; i < npr; ++i ) { - - const auto ij = i + j * npr; - weights[ij] *= 4 * M_PI * rp[i] * rp[i]; - - } + for(size_t j = 0; j < npa; ++j) + for(size_t i = 0; i < npr; ++i) { + const auto ij = i + j * npr; + weights[ij] *= 4 * M_PI * rp[i] * rp[i]; + } // Recenter - shift_grid( points, cen ); - - return std::make_tuple( points, weights ); + shift_grid(points, cen); + return std::make_tuple(points, weights); } - - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/composite_quadratures/sub_quadrature.hpp b/include/integratorxx/composite_quadratures/sub_quadrature.hpp index 15809a4..d96cbd2 100644 --- a/include/integratorxx/composite_quadratures/sub_quadrature.hpp +++ b/include/integratorxx/composite_quadratures/sub_quadrature.hpp @@ -1,64 +1,54 @@ #pragma once -#include #include +#include namespace IntegratorXX { - template class SubQuadrature : public Quadrature> { - -private: - + private: using self_type = SubQuadrature; using base_type = Quadrature; - using traits = quadrature_traits; - -public: + using traits = quadrature_traits; - - using point_type = typename traits::point_type; - using weight_type = typename traits::weight_type; - using point_container = typename traits::point_container; + public: + using point_type = typename traits::point_type; + using weight_type = typename traits::weight_type; + using point_container = typename traits::point_container; using weight_container = typename traits::weight_container; - using range_idx_type = typename traits::range_idx_type; + using range_idx_type = typename traits::range_idx_type; - SubQuadrature( range_idx_type idx_range, const Quadrature& quad ) : - base_type( idx_range, quad ) { } - + SubQuadrature(range_idx_type idx_range, const Quadrature& quad) + : base_type(idx_range, quad) {} }; - template -struct quadrature_traits< - SubQuadrature -> { - +struct quadrature_traits> { using derived_traits = quadrature_traits; - using range_idx_type = std::pair; + using range_idx_type = std::pair; - using point_type = typename derived_traits::point_type; - using weight_type = typename derived_traits::weight_type; - using point_container = typename derived_traits::point_container; + using point_type = typename derived_traits::point_type; + using weight_type = typename derived_traits::weight_type; + using point_container = typename derived_traits::point_container; using weight_container = typename derived_traits::weight_container; - inline static std::tuple - generate( range_idx_type idx_range, const Quadrature& quad ) { - const auto [begin_idx, end_idx] = idx_range; - assert( begin_idx >= 0 ); - assert( begin_idx <= quad.npts() ); - assert( end_idx >= 0 ); - assert( end_idx <= quad.npts() ); - assert( begin_idx < end_idx ); - - point_container points( quad.points().begin() + begin_idx, - quad.points().begin() + end_idx ); - point_container weights( quad.weights().begin() + begin_idx, - quad.weights().begin() + end_idx ); - - return std::make_tuple( points, weights ); - } + inline static std::tuple generate( + range_idx_type idx_range, const Quadrature& quad) { + const auto [begin_idx, end_idx] = idx_range; + assert(begin_idx >= 0); + assert(begin_idx <= quad.npts()); + assert(end_idx >= 0); + assert(end_idx <= quad.npts()); + assert(begin_idx < end_idx); + + point_container points(quad.points().begin() + begin_idx, + quad.points().begin() + end_idx); + point_container weights(quad.weights().begin() + begin_idx, + quad.weights().begin() + end_idx); + + return std::make_tuple(points, weights); + } }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/deprecated/ahlrichs.hpp b/include/integratorxx/deprecated/ahlrichs.hpp index 99d2cff..004c5f9 100644 --- a/include/integratorxx/deprecated/ahlrichs.hpp +++ b/include/integratorxx/deprecated/ahlrichs.hpp @@ -3,72 +3,65 @@ namespace IntegratorXX::deprecated { - /** - * \brief Euler-Maclaurin quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< Ahlrichs > { - - using point_container = typename Ahlrichs::point_container; - using weight_container = typename Ahlrichs::weight_container; - - /** - * \brief Generate the Euler-Maclaurin quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts, const wght_t alpha = 0.6 ); - - public: +/** + * \brief Euler-Maclaurin quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature > { + using point_container = + typename Ahlrichs::point_container; + using weight_container = + typename Ahlrichs::weight_container; - /** - * \brief Generate the Euler-Maclaurin quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; + /** + * \brief Generate the Euler-Maclaurin quadrature rule of a specific order + * (impl) + * + * \param[in] nPts Number of quadrature points + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts, const wght_t alpha = 0.6); + + public: + /** + * \brief Generate the Euler-Maclaurin quadrature rule of a specific order + * (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); + } +}; - // Implementation of Euler-Maclaurin quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< Ahlrichs >:: +// Implementation of Euler-Maclaurin quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature >:: generate_impl(const size_t nPts, const wght_t alpha) { + point_container pts(nPts); + weight_container wghts(nPts); - point_container pts(nPts); - weight_container wghts(nPts); + const PointType pi_by_npts = M_PI / (nPts + 1); + const PointType lnt = std::log(2.); - const PointType pi_by_npts = M_PI / (nPts+1); - const PointType lnt = std::log(2.); + for(size_t i = 0; i < nPts; i++) { + const PointType x = std::cos((i + 1) * pi_by_npts); + const PointType y = std::pow(1. + x, alpha) / lnt; + const PointType z = std::log(1. - x) - lnt; + const PointType r = std::sqrt((1. + x) / (1. - x)); - for(size_t i = 0; i < nPts; i++) { + pts[i] = y * z; + wghts[i] = pi_by_npts * y * (r - alpha * z / r); - const PointType x = std::cos( (i+1) * pi_by_npts ); - const PointType y = std::pow( 1. + x, alpha ) / lnt; - const PointType z = std::log(1. - x) - lnt; - const PointType r = std::sqrt((1. + x) / (1. - x)); - - pts[i] = y * z; - wghts[i] = pi_by_npts * y * ( r - alpha*z/r ); - - }; // Loop over points - - return std::tuple( std::move(pts), std::move(wghts) ); - - } + }; // Loop over points + return std::tuple(std::move(pts), std::move(wghts)); } -#endif +} // namespace IntegratorXX::deprecated +#endif diff --git a/include/integratorxx/deprecated/batch.hpp b/include/integratorxx/deprecated/batch.hpp index 81bb8ec..d2bd624 100644 --- a/include/integratorxx/deprecated/batch.hpp +++ b/include/integratorxx/deprecated/batch.hpp @@ -1,660 +1,553 @@ #ifndef __INCLUDED_INTEGRATORXX_BATCH_HPP__ #define __INCLUDED_INTEGRATORXX_BATCH_HPP__ +#include #include #include -#include #include "quadrature.hpp" namespace IntegratorXX::deprecated { +/** + * \brief Generic implementation of batching in 1D Quadratures + * + * Provides an iterator which generates quadrature batches on the + * fly. + */ +template +class QuadratureBatch { + const QuadratureType& quad; ///< Base quadrature + const size_t batch_sz; ///< Batch size /** - * \brief Generic implementation of batching in 1D Quadratures - * - * Provides an iterator which generates quadrature batches on the - * fly. - */ - template - class QuadratureBatch { - - const QuadratureType& quad; ///< Base quadrature - const size_t batch_sz; ///< Batch size - - /** - * \brief 1D Quadrature Batch Iterator - */ - class iterator { - - using point_type = typename QuadratureType::point_type; - using weight_type = typename QuadratureType::weight_type; - using point_container = typename QuadratureType::point_container; - using weight_container = typename QuadratureType::weight_container; - - const QuadratureType* quad; ///< Base quadrature - - size_t cur_indx; - size_t batch_sz; - - public: - - using value_type = - std::tuple< point_container, weight_container >; - using pointer = const value_type*; - using reference = value_type&&; - using difference_type = size_t; - using iterator_catagory = std::forward_iterator_tag; - - iterator() = delete; - - iterator( - const QuadratureType &q, - const size_t indx, - const size_t bsz = 1 - ) : quad(&q), cur_indx(indx), batch_sz(bsz) { } - - iterator& operator++(){ cur_indx += std::min(batch_sz,quad->nPts()-cur_indx); return *this; } - iterator operator++(int){ iterator retval = *this; ++(*this); return retval; } - - - iterator& operator+(int i){ - cur_indx = std::min( cur_indx + i*batch_sz, quad->nPts() ); - return *this; - } - - bool operator==(iterator other){ return cur_indx == other.cur_indx and quad == other.quad; } - bool operator!=(iterator other){ return not (*this == other); } - - auto range() { - - size_t ncpy = - std::min(batch_sz, quad->nPts() - cur_indx); - - auto pts_st = quad->points().begin() + cur_indx; - auto pts_en = pts_st + ncpy; - - auto wgt_st = quad->weights().begin() + cur_indx; - auto wgt_en = wgt_st + ncpy; + * \brief 1D Quadrature Batch Iterator + */ + class iterator { + using point_type = typename QuadratureType::point_type; + using weight_type = typename QuadratureType::weight_type; + using point_container = typename QuadratureType::point_container; + using weight_container = typename QuadratureType::weight_container; - return std::tuple( pts_st, pts_en, wgt_st, wgt_en ); - - } + const QuadratureType* quad; ///< Base quadrature - auto operator*(){ + size_t cur_indx; + size_t batch_sz; - size_t ncpy = - std::min(batch_sz, quad->nPts() - cur_indx); + public: + using value_type = std::tuple; + using pointer = const value_type*; + using reference = value_type&&; + using difference_type = size_t; + using iterator_catagory = std::forward_iterator_tag; - point_container pts( ncpy ); - weight_container wgt( ncpy ); + iterator() = delete; - std::copy( quad->points().begin() + cur_indx, - quad->points().begin() + cur_indx + ncpy, - pts.begin() ); + iterator(const QuadratureType& q, const size_t indx, const size_t bsz = 1) + : quad(&q), cur_indx(indx), batch_sz(bsz) {} - std::copy( quad->weights().begin() + cur_indx, - quad->weights().begin() + cur_indx + ncpy, - wgt.begin() ); + iterator& operator++() { + cur_indx += std::min(batch_sz, quad->nPts() - cur_indx); + return *this; + } + iterator operator++(int) { + iterator retval = *this; + ++(*this); + return retval; + } - return std::tuple( std::move(pts),std::move(wgt) ); + iterator& operator+(int i) { + cur_indx = std::min(cur_indx + i * batch_sz, quad->nPts()); + return *this; + } - } + bool operator==(iterator other) { + return cur_indx == other.cur_indx and quad == other.quad; + } + bool operator!=(iterator other) { return not(*this == other); } - }; + auto range() { + size_t ncpy = std::min(batch_sz, quad->nPts() - cur_indx); - public: + auto pts_st = quad->points().begin() + cur_indx; + auto pts_en = pts_st + ncpy; - using point_type = typename QuadratureType::point_type; - using weight_type = typename QuadratureType::weight_type; - using point_container = - typename QuadratureType::point_container; - using weight_container = - typename QuadratureType::weight_container; + auto wgt_st = quad->weights().begin() + cur_indx; + auto wgt_en = wgt_st + ncpy; - QuadratureBatch( - const QuadratureType &q, - const size_t bsz = 1 - ): batch_sz(bsz), quad(q){ }; + return std::tuple(pts_st, pts_en, wgt_st, wgt_en); + } + auto operator*() { + size_t ncpy = std::min(batch_sz, quad->nPts() - cur_indx); - iterator begin() const { return iterator(quad,0, batch_sz); } - iterator end() const { return iterator(quad,quad.nPts(),batch_sz); } + point_container pts(ncpy); + weight_container wgt(ncpy); - inline size_t n_batches() const { - if( batch_sz > quad.nPts() ) return 1; + std::copy(quad->points().begin() + cur_indx, + quad->points().begin() + cur_indx + ncpy, pts.begin()); - size_t n = quad.nPts() / batch_sz; - if( quad.nPts() % batch_sz ) n++; - return n; - } + std::copy(quad->weights().begin() + cur_indx, + quad->weights().begin() + cur_indx + ncpy, wgt.begin()); - inline size_t max_batch_size() const { - return batch_sz; + return std::tuple(std::move(pts), std::move(wgt)); } - }; + public: + using point_type = typename QuadratureType::point_type; + using weight_type = typename QuadratureType::weight_type; + using point_container = typename QuadratureType::point_container; + using weight_container = typename QuadratureType::weight_container; + QuadratureBatch(const QuadratureType& q, const size_t bsz = 1) + : batch_sz(bsz), quad(q){}; + iterator begin() const { return iterator(quad, 0, batch_sz); } + iterator end() const { return iterator(quad, quad.nPts(), batch_sz); } + inline size_t n_batches() const { + if(batch_sz > quad.nPts()) return 1; - - namespace detail { - - struct standard_combine_op { - template - static T combine( const U& u, const V& v ) { - return {u,v}; - } - }; - - - struct spherical_from_radial_cart_combine_op { - template - static - std::enable_if_t< - std::is_same_v< cartesian_pt_t, T> and - std::is_same_v< cartesian_pt_t, V>, - T - > combine( const U& r, const V& v ) { - return { r*v[0], r*v[1], r*v[2] }; - } - }; - + size_t n = quad.nPts() / batch_sz; + if(quad.nPts() % batch_sz) n++; + return n; } + inline size_t max_batch_size() const { return batch_sz; } +}; +namespace detail { +struct standard_combine_op { + template + static T combine(const U& u, const V& v) { + return {u, v}; + } +}; - /** - * \brief Generic implementation of batching in 2D Quadratures - * - * Provides an iterator which generates 2D quadrature batches on the - * fly. - */ - template - class QuadratureBatch2D_t { - - protected: - - using batch_iterator_1 = - decltype( std::declval>().begin() ); - using batch_iterator_2 = - decltype( std::declval>().begin() ); - - - - - const QuadratureBatch q_batch_1; - const QuadratureBatch q_batch_2; - - const size_t batch_sz_1; - const size_t batch_sz_2; - - - class iterator { - - protected: - - using batch_iterator_1 = - typename QuadratureBatch2D_t::batch_iterator_1; - using batch_iterator_2 = - typename QuadratureBatch2D_t::batch_iterator_2; - - using weight_type = - decltype( - std::declval() * - std::declval() - ); - - using weight_container = typename QuadratureType1::weight_container; - using point_container = std::vector; - - const QuadratureBatch& q_batch_1; - const QuadratureBatch& q_batch_2; - - size_t cur_indx; - batch_iterator_1 it_1; - batch_iterator_2 it_2; - - public: - - using value_type = - std::tuple< CombinedType, weight_container >; - using pointer = const value_type*; - using reference = value_type&&; - using difference_type = size_t; - using iterator_catagory = std::forward_iterator_tag; - - iterator() = delete; - - iterator( - const decltype(q_batch_1)& q1, - const decltype(q_batch_2)& q2, - const size_t i1, - const size_t i2 - ) : - q_batch_1(q1), q_batch_2(q2), - // Col major ordering of cartesian product - cur_indx( i1 + i2*q1.n_batches() ), - it_1( q1.begin() + i1 ), - it_2( q2.begin() + i2 ){ } - - - iterator& operator++(){ - it_1++; - if( it_1 == q_batch_1.end() ) { - it_1 = q_batch_1.begin(); - it_2++; - } +struct spherical_from_radial_cart_combine_op { + template + static std::enable_if_t, T> and + std::is_same_v, V>, + T> + combine(const U& r, const V& v) { + return {r * v[0], r * v[1], r * v[2]}; + } +}; - return *this; +} // namespace detail + +/** + * \brief Generic implementation of batching in 2D Quadratures + * + * Provides an iterator which generates 2D quadrature batches on the + * fly. + */ +template +class QuadratureBatch2D_t { + protected: + using batch_iterator_1 = + decltype(std::declval>().begin()); + using batch_iterator_2 = + decltype(std::declval>().begin()); + + const QuadratureBatch q_batch_1; + const QuadratureBatch q_batch_2; + + const size_t batch_sz_1; + const size_t batch_sz_2; + + class iterator { + protected: + using batch_iterator_1 = typename QuadratureBatch2D_t::batch_iterator_1; + using batch_iterator_2 = typename QuadratureBatch2D_t::batch_iterator_2; + + using weight_type = + decltype(std::declval() * + std::declval()); + + using weight_container = typename QuadratureType1::weight_container; + using point_container = std::vector; + + const QuadratureBatch& q_batch_1; + const QuadratureBatch& q_batch_2; + + size_t cur_indx; + batch_iterator_1 it_1; + batch_iterator_2 it_2; + + public: + using value_type = std::tuple; + using pointer = const value_type*; + using reference = value_type&&; + using difference_type = size_t; + using iterator_catagory = std::forward_iterator_tag; + + iterator() = delete; + + iterator(const decltype(q_batch_1)& q1, const decltype(q_batch_2)& q2, + const size_t i1, const size_t i2) + : q_batch_1(q1), + q_batch_2(q2), + // Col major ordering of cartesian product + cur_indx(i1 + i2 * q1.n_batches()), + it_1(q1.begin() + i1), + it_2(q2.begin() + i2) {} + + iterator& operator++() { + it_1++; + if(it_1 == q_batch_1.end()) { + it_1 = q_batch_1.begin(); + it_2++; } - iterator operator++(int){ iterator retval = *this; ++(*this); return retval; } - - bool operator==(iterator other){ return it_1 == other.it_1 and it_2 == other.it_2; } - bool operator!=(iterator other){ return not (*this == other); } - - auto operator*(){ + return *this; + } + iterator operator++(int) { + iterator retval = *this; + ++(*this); + return retval; + } - auto [pts1_st, pts1_en, wgt1_st, wgt1_en] = it_1.range(); - auto [pts2_st, pts2_en, wgt2_st, wgt2_en] = it_2.range(); + bool operator==(iterator other) { + return it_1 == other.it_1 and it_2 == other.it_2; + } + bool operator!=(iterator other) { return not(*this == other); } - auto ncpy_1 = std::distance( pts1_st, pts1_en ); - auto ncpy_2 = std::distance( pts2_st, pts2_en ); + auto operator*() { + auto [pts1_st, pts1_en, wgt1_st, wgt1_en] = it_1.range(); + auto [pts2_st, pts2_en, wgt2_st, wgt2_en] = it_2.range(); - point_container pts( ncpy_1 * ncpy_2 ); - weight_container wgt( ncpy_1 * ncpy_2 ); + auto ncpy_1 = std::distance(pts1_st, pts1_en); + auto ncpy_2 = std::distance(pts2_st, pts2_en); + point_container pts(ncpy_1 * ncpy_2); + weight_container wgt(ncpy_1 * ncpy_2); - auto pts_loop_init = std::tuple(pts2_st, pts.begin()); - for(auto [i2, indx] = pts_loop_init; i2 != pts2_en; ++i2 ) - for(auto i1 = pts1_st; i1 != pts1_en; ++i1, ++indx) - *indx = CombineOp::template combine( *i1, *i2 ); + auto pts_loop_init = std::tuple(pts2_st, pts.begin()); + for(auto [i2, indx] = pts_loop_init; i2 != pts2_en; ++i2) + for(auto i1 = pts1_st; i1 != pts1_en; ++i1, ++indx) + *indx = CombineOp::template combine(*i1, *i2); - auto wgt_loop_init = std::tuple(wgt2_st, wgt.begin()); - for(auto [i2, indx] = wgt_loop_init; i2 != wgt2_en; ++i2 ) - for(auto i1 = wgt1_st; i1 != wgt1_en; ++i1, ++indx) + auto wgt_loop_init = std::tuple(wgt2_st, wgt.begin()); + for(auto [i2, indx] = wgt_loop_init; i2 != wgt2_en; ++i2) + for(auto i1 = wgt1_st; i1 != wgt1_en; ++i1, ++indx) *indx = (*i1) * (*i2); - return std::tuple( std::move(pts),std::move(wgt) ); - - } - }; - - - public: - - QuadratureBatch2D_t( - const QuadratureType1& q1, - const QuadratureType2& q2, - const size_t bsz1, - const size_t bsz2 - ) : q_batch_1(q1,bsz1), q_batch_2(q2,bsz2), - batch_sz_1(bsz1), batch_sz_2(bsz2) { } - - - iterator begin(){ return iterator(q_batch_1, q_batch_2,0,0); } - iterator end(){ return iterator(q_batch_1, q_batch_2, 0, q_batch_2.n_batches() ); } - - inline size_t n_batches() const { - return q_batch_1.n_batches() * q_batch_2.n_batches(); - } - - inline size_t max_batch_size() const { - return q_batch_1.max_batch_size() * - q_batch_2.max_batch_size(); + return std::tuple(std::move(pts), std::move(wgt)); } - }; + public: + QuadratureBatch2D_t(const QuadratureType1& q1, const QuadratureType2& q2, + const size_t bsz1, const size_t bsz2) + : q_batch_1(q1, bsz1), + q_batch_2(q2, bsz2), + batch_sz_1(bsz1), + batch_sz_2(bsz2) {} + + iterator begin() { return iterator(q_batch_1, q_batch_2, 0, 0); } + iterator end() { + return iterator(q_batch_1, q_batch_2, 0, q_batch_2.n_batches()); + } - /** - * \brief Generic implementation of batching in 2D Quadratures - * - * Provides an iterator which generates 2D quadrature batches on the - * fly. - */ - template - class SphericalBatch_t : - public QuadratureBatch2D_t { + inline size_t n_batches() const { + return q_batch_1.n_batches() * q_batch_2.n_batches(); + } - using batch_base = QuadratureBatch2D_t; + inline size_t max_batch_size() const { + return q_batch_1.max_batch_size() * q_batch_2.max_batch_size(); + } +}; +/** + * \brief Generic implementation of batching in 2D Quadratures + * + * Provides an iterator which generates 2D quadrature batches on the + * fly. + */ +template +class SphericalBatch_t + : public QuadratureBatch2D_t { + using batch_base = QuadratureBatch2D_t; + + const cartesian_pt_t center; + const typename RadialQuadrature::point_type scale; + + class iterator : public batch_base::iterator { const cartesian_pt_t center; - const typename RadialQuadrature::point_type scale; - - class iterator : public batch_base::iterator { - - - const cartesian_pt_t center; - const typename RadialQuadrature::point_type scale; - - public: - - using point_container = typename batch_base::iterator::point_container; - using weight_container = typename batch_base::iterator::weight_container; - - template - iterator( const decltype(center) cen, const decltype(scale) scl, Args&&... args ) : - center(cen), scale(scl), batch_base::iterator(std::forward(args)...){ } + const typename RadialQuadrature::point_type scale; - auto radius_bounds() { + public: + using point_container = typename batch_base::iterator::point_container; + using weight_container = typename batch_base::iterator::weight_container; - auto [pts1_st, pts1_en, wgt1_st, wgt1_en] = this->it_1.range(); - - return std::tuple( *pts1_st, *pts1_en ); - - } + template + iterator(const decltype(center) cen, const decltype(scale) scl, + Args&&... args) + : center(cen), + scale(scl), + batch_base::iterator(std::forward(args)...) {} - auto operator*(){ + auto radius_bounds() { + auto [pts1_st, pts1_en, wgt1_st, wgt1_en] = this->it_1.range(); - auto [pts1_st, pts1_en, wgt1_st, wgt1_en] = this->it_1.range(); - auto [pts2_st, pts2_en, wgt2_st, wgt2_en] = this->it_2.range(); + return std::tuple(*pts1_st, *pts1_en); + } - auto ncpy_1 = std::distance( pts1_st, pts1_en ); - auto ncpy_2 = std::distance( pts2_st, pts2_en ); + auto operator*() { + auto [pts1_st, pts1_en, wgt1_st, wgt1_en] = this->it_1.range(); + auto [pts2_st, pts2_en, wgt2_st, wgt2_en] = this->it_2.range(); - point_container pts( ncpy_1 * ncpy_2 ); - weight_container wgt( ncpy_1 * ncpy_2 ); + auto ncpy_1 = std::distance(pts1_st, pts1_en); + auto ncpy_2 = std::distance(pts2_st, pts2_en); + point_container pts(ncpy_1 * ncpy_2); + weight_container wgt(ncpy_1 * ncpy_2); - auto pts_loop_init = std::tuple(pts2_st, pts.begin()); - for(auto [i2, indx] = pts_loop_init; i2 != pts2_en; ++i2 ) - for(auto i1 = pts1_st; i1 != pts1_en; ++i1, ++indx) - *indx = CombineOp::template combine( *i1, *i2 ); + auto pts_loop_init = std::tuple(pts2_st, pts.begin()); + for(auto [i2, indx] = pts_loop_init; i2 != pts2_en; ++i2) + for(auto i1 = pts1_st; i1 != pts1_en; ++i1, ++indx) + *indx = CombineOp::template combine(*i1, *i2); - auto wgt_loop_init = std::tuple(wgt2_st, wgt.begin()); - for(auto [i2, indx] = wgt_loop_init; i2 != wgt2_en; ++i2 ) - for(auto i1 = wgt1_st; i1 != wgt1_en; ++i1, ++indx) + auto wgt_loop_init = std::tuple(wgt2_st, wgt.begin()); + for(auto [i2, indx] = wgt_loop_init; i2 != wgt2_en; ++i2) + for(auto i1 = wgt1_st; i1 != wgt1_en; ++i1, ++indx) *indx = (*i1) * (*i2); - // Modify weights and points - auto r_it = pts1_st; - auto mod_loop_init = std::tuple( pts.begin(), wgt.begin() ); - for( auto [pi, wi] = mod_loop_init; pi != pts.end(); ++pi, ++wi ) { - - *wi *= 4*M_PI * (*r_it) * (*r_it) * scale * scale * scale; ++r_it; - if( r_it == pts1_en ) r_it = pts1_st; - - (*pi)[0] = scale*(*pi)[0] + center[0]; - (*pi)[1] = scale*(*pi)[1] + center[1]; - (*pi)[2] = scale*(*pi)[2] + center[2]; - - } - - return std::tuple( std::move(pts),std::move(wgt) ); - + // Modify weights and points + auto r_it = pts1_st; + auto mod_loop_init = std::tuple(pts.begin(), wgt.begin()); + for(auto [pi, wi] = mod_loop_init; pi != pts.end(); ++pi, ++wi) { + *wi *= 4 * M_PI * (*r_it) * (*r_it) * scale * scale * scale; + ++r_it; + if(r_it == pts1_en) r_it = pts1_st; + + (*pi)[0] = scale * (*pi)[0] + center[0]; + (*pi)[1] = scale * (*pi)[1] + center[1]; + (*pi)[2] = scale * (*pi)[2] + center[2]; } - }; - - - public: - - - template - SphericalBatch_t( const decltype(center) cen, const decltype(scale) scl, Args&&... args ) : - center(cen), scale(scl), batch_base(std::forward(args)...){ } - - iterator begin(){ return iterator(center,scale,this->q_batch_1, this->q_batch_2,0,0); } - iterator end(){ return iterator(center,scale,this->q_batch_1, this->q_batch_2, 0, this->q_batch_2.n_batches() ); } - + return std::tuple(std::move(pts), std::move(wgt)); + } }; + public: + template + SphericalBatch_t(const decltype(center) cen, const decltype(scale) scl, + Args&&... args) + : center(cen), scale(scl), batch_base(std::forward(args)...) {} - template - std::ostream& operator<<( std::ostream& out, const cartesian_pt_t& pt ) { - - out << "{" << pt[0] << ", " << pt[1] << ", " << pt[2] << "}"; - - return out; - + iterator begin() { + return iterator(center, scale, this->q_batch_1, this->q_batch_2, 0, 0); + } + iterator end() { + return iterator(center, scale, this->q_batch_1, this->q_batch_2, 0, + this->q_batch_2.n_batches()); } +}; - - template - class SphericalMicroBatch_t { +template +std::ostream& operator<<(std::ostream& out, const cartesian_pt_t& pt) { + out << "{" << pt[0] << ", " << pt[1] << ", " << pt[2] << "}"; + return out; +} - using radial_point_type = typename RadialQuadrature::point_type; - using point_type = cartesian_pt_t< radial_point_type >; +template +class SphericalMicroBatch_t { + using radial_point_type = typename RadialQuadrature::point_type; + using point_type = cartesian_pt_t; - SphericalBatch_t + SphericalBatch_t sphere_generator; + decltype(*sphere_generator.begin()) sphere; + + const point_type center; + const radial_point_type box_dim; + const int64_t n_macro_subdivide; + const int64_t n_micro_subdivide; + + std::vector, // points + std::vector // weights + >> + micro_batches; + + void generate_micro_batches() { + assert((n_macro_subdivide - n_micro_subdivide) % 2 == 0); + const auto macro_step = box_dim / n_macro_subdivide; + const auto micro_offset = + ((n_macro_subdivide - n_micro_subdivide) / 2) * macro_step; + + const auto micro_step = micro_offset / n_micro_subdivide / 2; + + const auto& sphere_points = std::get<0>(sphere); + const auto& sphere_weights = std::get<1>(sphere); + + std::vector> sphere_zip( + sphere_points.size()); + + for(auto i = 0; i < sphere_points.size(); ++i) + sphere_zip[i] = {sphere_points[i], sphere_weights[i]}; + + const point_type box_lo_bound = {center[0] - 0.5 * box_dim, + center[1] - 0.5 * box_dim, + center[2] - 0.5 * box_dim}; + + const point_type box_up_bound = {center[0] + 0.5 * box_dim, + center[1] + 0.5 * box_dim, + center[2] + 0.5 * box_dim}; + + const point_type micro_box_lo_bound = {box_lo_bound[0] + micro_offset, + box_lo_bound[1] + micro_offset, + box_lo_bound[2] + micro_offset}; + + const point_type micro_box_up_bound = {box_up_bound[0] - micro_offset, + box_up_bound[1] - micro_offset, + box_up_bound[2] - micro_offset}; + + /* + std::cout << std::setprecision(5) << std::scientific; + std::cout << "BOX DIM = " << box_dim << std::endl; + std::cout << "BOX BOUNDS: " << box_lo_bound << " -> " << box_up_bound + << std::endl; std::cout << "MACRO STEP " << macro_step << std::endl; + std::cout << "MICRO STEP " << micro_step << std::endl; + std::cout << "MICRO OFFSET " << micro_offset << std::endl; + std::cout << "MICRO BOX BOUNDS: " << micro_box_lo_bound << " -> " << + micro_box_up_bound << std::endl; + */ + + constexpr auto point_in_box = [](const auto& pt, const auto& box_lo, + const auto& box_hi) { + return (pt[0] >= box_lo[0] and pt[0] < box_hi[0]) and + (pt[1] >= box_lo[1] and pt[1] < box_hi[1]) and + (pt[2] >= box_lo[2] and pt[2] < box_hi[2]); + }; - decltype( *sphere_generator.begin() ) sphere; - - - const point_type center; - const radial_point_type box_dim; - const int64_t n_macro_subdivide; - const int64_t n_micro_subdivide; - - - std::vector< - std::tuple< - point_type, // low bound - point_type, // up bound - std::vector< point_type >, // points - std::vector< double > // weights - > - > micro_batches; - - void generate_micro_batches() { - - - - - assert( (n_macro_subdivide - n_micro_subdivide) % 2 == 0 ); - const auto macro_step = box_dim / n_macro_subdivide; - const auto micro_offset = ((n_macro_subdivide - n_micro_subdivide) / 2) * macro_step; - - const auto micro_step = micro_offset / n_micro_subdivide / 2; - - const auto& sphere_points = std::get<0>(sphere); - const auto& sphere_weights = std::get<1>(sphere); - - std::vector< std::tuple< point_type, double > > - sphere_zip(sphere_points.size()); - - for(auto i = 0; i < sphere_points.size(); ++i) - sphere_zip[i] = { sphere_points[i], sphere_weights[i] }; - - - - const point_type box_lo_bound = { - center[0] - 0.5*box_dim, - center[1] - 0.5*box_dim, - center[2] - 0.5*box_dim - }; - - const point_type box_up_bound = { - center[0] + 0.5*box_dim, - center[1] + 0.5*box_dim, - center[2] + 0.5*box_dim - }; - - const point_type micro_box_lo_bound = { - box_lo_bound[0] + micro_offset, - box_lo_bound[1] + micro_offset, - box_lo_bound[2] + micro_offset - }; - - const point_type micro_box_up_bound = { - box_up_bound[0] - micro_offset, - box_up_bound[1] - micro_offset, - box_up_bound[2] - micro_offset - }; - -/* - std::cout << std::setprecision(5) << std::scientific; - std::cout << "BOX DIM = " << box_dim << std::endl; - std::cout << "BOX BOUNDS: " << box_lo_bound << " -> " << box_up_bound << std::endl; - std::cout << "MACRO STEP " << macro_step << std::endl; - std::cout << "MICRO STEP " << micro_step << std::endl; - std::cout << "MICRO OFFSET " << micro_offset << std::endl; - std::cout << "MICRO BOX BOUNDS: " << micro_box_lo_bound << " -> " << micro_box_up_bound << std::endl; -*/ - - - constexpr auto point_in_box = - []( const auto& pt, const auto& box_lo, const auto& box_hi ) { - - return (pt[0] >= box_lo[0] and pt[0] < box_hi[0] ) and - (pt[1] >= box_lo[1] and pt[1] < box_hi[1] ) and - (pt[2] >= box_lo[2] and pt[2] < box_hi[2] ); - - }; - - - auto point_in_micro_box = - [&]( const auto& pt ) { - return point_in_box( pt, micro_box_lo_bound, micro_box_up_bound ); - }; - - - - constexpr auto segregate_boxes = - []( const auto& lo_bnd, const auto& up_bnd, const auto nseg ) { - - - std::vector< std::tuple< point_type, point_type > > boxes; - const auto step = (up_bnd[0] - lo_bnd[0]) / nseg; - - - for( auto i = 0; i < nseg; ++i ) { + auto point_in_micro_box = [&](const auto& pt) { + return point_in_box(pt, micro_box_lo_bound, micro_box_up_bound); + }; - const auto x_lo = lo_bnd[0] + i * step; - const auto x_hi = x_lo + step; + constexpr auto segregate_boxes = [](const auto& lo_bnd, const auto& up_bnd, + const auto nseg) { + std::vector> boxes; + const auto step = (up_bnd[0] - lo_bnd[0]) / nseg; - for( auto j = 0; j < nseg; ++j ) { + for(auto i = 0; i < nseg; ++i) { + const auto x_lo = lo_bnd[0] + i * step; + const auto x_hi = x_lo + step; + for(auto j = 0; j < nseg; ++j) { const auto y_lo = lo_bnd[1] + j * step; const auto y_hi = y_lo + step; - for( auto k = 0; k < nseg; ++k ) { + for(auto k = 0; k < nseg; ++k) { + const auto z_lo = lo_bnd[2] + k * step; + const auto z_hi = z_lo + step; - const auto z_lo = lo_bnd[2] + k * step; - const auto z_hi = z_lo + step; + const point_type lo = {x_lo, y_lo, z_lo}; + const point_type up = {x_hi, y_hi, z_hi}; - const point_type lo = {x_lo, y_lo, z_lo}; - const point_type up = {x_hi, y_hi, z_hi}; - - boxes.push_back( { lo, up } ); - - } - } + boxes.push_back({lo, up}); + } } - - return boxes; - }; - - - - const size_t n_macro_dim = (n_macro_subdivide - n_micro_subdivide) / 2; - const size_t n_micro_dim = n_micro_subdivide * 2; - - // Create big box place holders - const auto big_boxes = segregate_boxes( box_lo_bound, box_up_bound, 3 ); - - // Get the index of the center box - const auto center_box = std::find_if( big_boxes.begin(), big_boxes.end(), - [&]( const auto& bx ) { return point_in_box( point_type({0.,0.,0.}), std::get<0>(bx), std::get<1>(bx) ); } ); - - // Loop over boxes and bisect - for( auto bx_it = big_boxes.begin(); bx_it != big_boxes.end(); bx_it++ ) { - const auto& bx = *bx_it; - const size_t nseg = (bx_it == center_box) ? n_micro_dim : n_macro_dim; - - auto boxes = segregate_boxes( std::get<0>(bx), std::get<1>(bx), nseg ); - - for( const auto &b : boxes ) - micro_batches.push_back( - { - std::get<0>(b), std::get<1>(b), - std::vector(), std::vector() - } - ); - - } - - // Assign points to boxes - for( auto iPt = 0; iPt < sphere_points.size(); ++iPt ) - for( auto& bx : micro_batches ) - if( point_in_box( sphere_points[iPt], std::get<0>(bx), std::get<1>(bx) ) ) { - std::get<2>(bx).emplace_back( sphere_points[iPt] ); - std::get<3>(bx).emplace_back( sphere_weights[iPt] ); } - - - - - -/* - // Excluded point in big box - for( auto iPt = 0; iPt < sphere_points.size(); ++iPt ) - if( (std::find(indx_keep.begin(), indx_keep.end(), iPt) == indx_keep.end()) and - (point_in_box( sphere_points[iPt], box_lo_bound, box_up_bound ) or - (sphere_points[iPt][0] == box_up_bound[0]) or - (sphere_points[iPt][1] == box_up_bound[1]) or - (sphere_points[iPt][2] == box_up_bound[2]) - ) ) - std::cout << iPt << ", " << sphere_points[iPt] << std::endl; -*/ + return boxes; + }; -/* - std::cout << "IS = " << indx_keep.size() << std::endl; - std::unique(indx_keep.begin(), indx_keep.end() ); - std::cout << "ISU = " << indx_keep.size() << std::endl; + const size_t n_macro_dim = (n_macro_subdivide - n_micro_subdivide) / 2; + const size_t n_micro_dim = n_micro_subdivide * 2; - std::cout << "NB = " << micro_batches.size() << std::endl; - std::cout << "NP = " << - std::accumulate( micro_batches.begin(), micro_batches.end(), 0, - [](auto x, auto y){ return x + std::get<2>(y).size(); } ) << std::endl; + // Create big box place holders + const auto big_boxes = segregate_boxes(box_lo_bound, box_up_bound, 3); -*/ + // Get the index of the center box + const auto center_box = + std::find_if(big_boxes.begin(), big_boxes.end(), [&](const auto& bx) { + return point_in_box(point_type({0., 0., 0.}), std::get<0>(bx), + std::get<1>(bx)); + }); - } + // Loop over boxes and bisect + for(auto bx_it = big_boxes.begin(); bx_it != big_boxes.end(); bx_it++) { + const auto& bx = *bx_it; + const size_t nseg = (bx_it == center_box) ? n_micro_dim : n_macro_dim; - public: + auto boxes = segregate_boxes(std::get<0>(bx), std::get<1>(bx), nseg); - SphericalMicroBatch_t( - const RadialQuadrature& r, - const AngularQuadrature& l, - const point_type cen, - const radial_point_type scl, - const radial_point_type b_dim, - const int64_t n_macro, - const int64_t n_micro - ) : - center(cen), - box_dim(b_dim), - n_macro_subdivide( n_macro ), - n_micro_subdivide( n_micro ), - sphere_generator(cen, scl, r,l, r.nPts(), l.nPts()){ - - // Generate the sphere - sphere = std::move( *sphere_generator.begin() ); - - // Generate the micro batches - generate_micro_batches(); + for(const auto& b : boxes) + micro_batches.push_back({std::get<0>(b), std::get<1>(b), + std::vector(), + std::vector()}); } + // Assign points to boxes + for(auto iPt = 0; iPt < sphere_points.size(); ++iPt) + for(auto& bx : micro_batches) + if(point_in_box(sphere_points[iPt], std::get<0>(bx), std::get<1>(bx))) { + std::get<2>(bx).emplace_back(sphere_points[iPt]); + std::get<3>(bx).emplace_back(sphere_weights[iPt]); + } + /* + // Excluded point in big box + for( auto iPt = 0; iPt < sphere_points.size(); ++iPt ) + if( (std::find(indx_keep.begin(), indx_keep.end(), iPt) == + indx_keep.end()) and (point_in_box( sphere_points[iPt], box_lo_bound, + box_up_bound ) or (sphere_points[iPt][0] == box_up_bound[0]) or + (sphere_points[iPt][1] == box_up_bound[1]) or + (sphere_points[iPt][2] == box_up_bound[2]) + ) ) + std::cout << iPt << ", " << sphere_points[iPt] << std::endl; + */ + + /* + std::cout << "IS = " << indx_keep.size() << std::endl; + std::unique(indx_keep.begin(), indx_keep.end() ); + std::cout << "ISU = " << indx_keep.size() << std::endl; + + std::cout << "NB = " << micro_batches.size() << std::endl; + std::cout << "NP = " << + std::accumulate( micro_batches.begin(), micro_batches.end(), 0, + [](auto x, auto y){ return x + + std::get<2>(y).size(); } ) << std::endl; + + */ + } - auto begin() const { return micro_batches.begin(); } - auto end() const { return micro_batches.end(); } - - }; + public: + SphericalMicroBatch_t(const RadialQuadrature& r, const AngularQuadrature& l, + const point_type cen, const radial_point_type scl, + const radial_point_type b_dim, const int64_t n_macro, + const int64_t n_micro) + : center(cen), + box_dim(b_dim), + n_macro_subdivide(n_macro), + n_micro_subdivide(n_micro), + sphere_generator(cen, scl, r, l, r.nPts(), l.nPts()) { + // Generate the sphere + sphere = std::move(*sphere_generator.begin()); + + // Generate the micro batches + generate_micro_batches(); + } + auto begin() const { return micro_batches.begin(); } + auto end() const { return micro_batches.end(); } +}; #if 0 template - QuadratureBatch2D_t - QuadratureBatch2D( - const QuadratureType1& q1, - const QuadratureType2& q2, - const size_t bsz1 = 1, - const size_t bsz2 = 1 - ) { - - return QuadratureBatch2D_t(q1,q2,bsz1,bsz2); - - } - - - template - SphericalBatch_t< cartesian_pt_t, RadialQuadrature, Lebedev > - SphericalBatch( - const RadialQuadrature& r, - const Lebedev& l, - const cartesian_pt_t cen = {0.,0.,0.}, - const point_type scale = 1., - const size_t bsz1 = 1, - const size_t bsz2 = 1 - ) { - return - SphericalBatch_t< cartesian_pt_t, RadialQuadrature, Lebedev >(cen,scale,r,l,bsz1,bsz2); - } - - template - SphericalMicroBatch_t< cartesian_pt_t, RadialQuadrature, Lebedev > - SphericalMicroBatch( - const RadialQuadrature& r, - const Lebedev& l, - const cartesian_pt_t cen = {0.,0.,0.}, - const point_type scale = 1. - ) { - return - SphericalMicroBatch_t< cartesian_pt_t, RadialQuadrature, Lebedev >( - r,l,cen,scale,66.,6,2); - } -}; +template +QuadratureBatch2D_t +QuadratureBatch2D(const QuadratureType1& q1, const QuadratureType2& q2, + const size_t bsz1 = 1, const size_t bsz2 = 1) { + return QuadratureBatch2D_t(q1, q2, bsz1, bsz2); +} + +template +SphericalBatch_t, RadialQuadrature, + Lebedev> +SphericalBatch(const RadialQuadrature& r, const Lebedev& l, + const cartesian_pt_t cen = {0., 0., 0.}, + const point_type scale = 1., const size_t bsz1 = 1, + const size_t bsz2 = 1) { + return SphericalBatch_t, RadialQuadrature, + Lebedev>(cen, scale, r, l, bsz1, bsz2); +} + +template +SphericalMicroBatch_t, RadialQuadrature, + Lebedev> +SphericalMicroBatch(const RadialQuadrature& r, const Lebedev& l, + const cartesian_pt_t cen = {0., 0., 0.}, + const point_type scale = 1.) { + return SphericalMicroBatch_t, RadialQuadrature, + Lebedev>(r, l, cen, scale, 66., 6, + 2); +} +}; // namespace IntegratorXX::deprecated #endif diff --git a/include/integratorxx/deprecated/eulermaclaurin.hpp b/include/integratorxx/deprecated/eulermaclaurin.hpp index b05bacc..fb438fa 100644 --- a/include/integratorxx/deprecated/eulermaclaurin.hpp +++ b/include/integratorxx/deprecated/eulermaclaurin.hpp @@ -3,65 +3,61 @@ namespace IntegratorXX::deprecated { - /** - * \brief Euler-Maclaurin quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< EulerMaclaurin > { - - using point_container = typename EulerMaclaurin::point_container; - using weight_container = typename EulerMaclaurin::weight_container; - - /** - * \brief Generate the Euler-Maclaurin quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts ); - - public: - - /** - * \brief Generate the Euler-Maclaurin quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; - - // Implementation of Euler-Maclaurin quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< EulerMaclaurin >:: - generate_impl(const size_t nPts) { +/** + * \brief Euler-Maclaurin quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature< + EulerMaclaurin > { + using point_container = + typename EulerMaclaurin::point_container; + using weight_container = + typename EulerMaclaurin::weight_container; - point_container pts(nPts); - weight_container wghts(nPts); - - for(size_t i = 0; i < nPts; i++) { - - pts[i] = (i + 1.0) * (i + 1.0) / ((nPts - i) * (nPts - i)); + /** + * \brief Generate the Euler-Maclaurin quadrature rule of a specific order + * (impl) + * + * \param[in] nPts Number of quadrature points + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts); + + public: + /** + * \brief Generate the Euler-Maclaurin quadrature rule of a specific order + * (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); + } +}; - wghts[i] = 2.0 * (i + 1.0) * (nPts + 1.0) / - ((nPts - i) * (nPts - i) * (nPts - i)); +// Implementation of Euler-Maclaurin quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature >::generate_impl(const size_t + nPts) { + point_container pts(nPts); + weight_container wghts(nPts); - }; // Loop over points + for(size_t i = 0; i < nPts; i++) { + pts[i] = (i + 1.0) * (i + 1.0) / ((nPts - i) * (nPts - i)); - return std::tuple( std::move(pts), std::move(wghts) ); + wghts[i] = + 2.0 * (i + 1.0) * (nPts + 1.0) / ((nPts - i) * (nPts - i) * (nPts - i)); - } + }; // Loop over points + return std::tuple(std::move(pts), std::move(wghts)); } +} // namespace IntegratorXX::deprecated + #endif diff --git a/include/integratorxx/deprecated/gausscheby1.hpp b/include/integratorxx/deprecated/gausscheby1.hpp index 87c8da7..0d4b2b9 100644 --- a/include/integratorxx/deprecated/gausscheby1.hpp +++ b/include/integratorxx/deprecated/gausscheby1.hpp @@ -3,77 +3,73 @@ namespace IntegratorXX::deprecated { - /** - * \brief Gauss-Chebyshev (1st kind) quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< GaussChebyshev1 > { - - using point_container = typename GaussChebyshev1::point_container; - using weight_container = typename GaussChebyshev1::weight_container; - - /** - * \brief Generate the Gauss-Chebyshev (1st kind) quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \param[in] lo Lower bound of the integration - * \param[in] up Upper bound of the integration - * - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts, const PointType lo, const PointType up ); - - public: +/** + * \brief Gauss-Chebyshev (1st kind) quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature< + GaussChebyshev1 > { + using point_container = + typename GaussChebyshev1::point_container; + using weight_container = + typename GaussChebyshev1::weight_container; - /** - * \brief Generate the Gauss-Chebyshev (1st kind) quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; + /** + * \brief Generate the Gauss-Chebyshev (1st kind) quadrature rule of a + * specific order (impl) + * + * \param[in] nPts Number of quadrature points + * \param[in] lo Lower bound of the integration + * \param[in] up Upper bound of the integration + * + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts, const PointType lo, + const PointType up); + + public: + /** + * \brief Generate the Gauss-Chebyshev (1st kind) quadrature rule of a + * specific order (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); + } +}; - // Implementation of Gauss-Chebyshev (1st kind) quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< GaussChebyshev1 >:: +// Implementation of Gauss-Chebyshev (1st kind) quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature< + GaussChebyshev1 >:: generate_impl(const size_t nPts, const PointType lo, const PointType up) { + point_container pts(nPts); + weight_container wghts(nPts); - point_container pts(nPts); - weight_container wghts(nPts); - - for(size_t i = 0; i < nPts; i++) { - - // Generate raw points and wghts on (-1,1) - PointType pt = std::cos( (2.0*(i+1)-1.0) / (2*nPts) * M_PI ); - PointType wgt = (M_PI / nPts); - - // As we're integrating f(x) not \frac{f(x)}{\sqrt{1 - x^2}} - // we must factor the \sqrt{1-x^2} into the wghts - wgt *= std::sqrt(1 - pt * pt); + for(size_t i = 0; i < nPts; i++) { + // Generate raw points and wghts on (-1,1) + PointType pt = std::cos((2.0 * (i + 1) - 1.0) / (2 * nPts) * M_PI); + PointType wgt = (M_PI / nPts); - // Transform points and populate arrays - //std::tie(pts[i],wghts[i]) = unitBoundTransform(lowBound,upBound,pt,wgt); - pts[i] = pt; - wghts[i] = wgt; + // As we're integrating f(x) not \frac{f(x)}{\sqrt{1 - x^2}} + // we must factor the \sqrt{1-x^2} into the wghts + wgt *= std::sqrt(1 - pt * pt); - }; // Loop over points + // Transform points and populate arrays + // std::tie(pts[i],wghts[i]) = unitBoundTransform(lowBound,upBound,pt,wgt); + pts[i] = pt; + wghts[i] = wgt; - return std::tuple( std::move(pts), std::move(wghts) ); + }; // Loop over points - } - -}; + return std::tuple(std::move(pts), std::move(wghts)); +} +}; // namespace IntegratorXX::deprecated #endif diff --git a/include/integratorxx/deprecated/gausscheby2.hpp b/include/integratorxx/deprecated/gausscheby2.hpp index 831a377..f9ffff3 100644 --- a/include/integratorxx/deprecated/gausscheby2.hpp +++ b/include/integratorxx/deprecated/gausscheby2.hpp @@ -3,80 +3,74 @@ namespace IntegratorXX::deprecated { - /** - * \brief Gauss-Chebyshev (2nd kind) quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< GaussChebyshev2 > { - - using point_container = typename GaussChebyshev2::point_container; - using weight_container = typename GaussChebyshev2::weight_container; - - /** - * \brief Generate the Gauss-Chebyshev (2nd kind) quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \param[in] lo Lower bound of the integration - * \param[in] up Upper bound of the integration - * - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts, const PointType lo, const PointType up ); - - public: +/** + * \brief Gauss-Chebyshev (2nd kind) quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature< + GaussChebyshev2 > { + using point_container = + typename GaussChebyshev2::point_container; + using weight_container = + typename GaussChebyshev2::weight_container; - /** - * \brief Generate the Gauss-Chebyshev (2nd kind) quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; + /** + * \brief Generate the Gauss-Chebyshev (2nd kind) quadrature rule of a + * specific order (impl) + * + * \param[in] nPts Number of quadrature points + * \param[in] lo Lower bound of the integration + * \param[in] up Upper bound of the integration + * + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts, const PointType lo, + const PointType up); + + public: + /** + * \brief Generate the Gauss-Chebyshev (2nd kind) quadrature rule of a + * specific order (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); + } +}; - // Implementation of Gauss-Chebyshev (2nd kind) quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< GaussChebyshev2 >:: +// Implementation of Gauss-Chebyshev (2nd kind) quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature< + GaussChebyshev2 >:: generate_impl(const size_t nPts, const PointType lo, const PointType up) { + point_container pts(nPts); + weight_container wghts(nPts); - point_container pts(nPts); - weight_container wghts(nPts); - - for(size_t i = 0; i < nPts; i++) { - - // Generate raw points and wghts on (-1,1) - PointType pt = std::cos(M_PI * (i+1) / (nPts +1)); - PointType wgt = M_PI / (nPts + 1) * - std::pow( - std::sin(M_PI * (i+1) / (nPts +1)), - 2.0 - ); - - // As we're integrating f(x) not f(x)\sqrt{1 - x^2} - // we must factor the \sqrt{1-x^2} into the wghts - wgt /= std::sqrt(1 - pt * pt); + for(size_t i = 0; i < nPts; i++) { + // Generate raw points and wghts on (-1,1) + PointType pt = std::cos(M_PI * (i + 1) / (nPts + 1)); + PointType wgt = M_PI / (nPts + 1) * + std::pow(std::sin(M_PI * (i + 1) / (nPts + 1)), 2.0); - // Transform points and populate arrays - //std::tie(pts[i],wghts[i]) = unitBoundTransform(lowBound,upBound,pt,wgt); - pts[i] = pt; - wghts[i] = wgt; + // As we're integrating f(x) not f(x)\sqrt{1 - x^2} + // we must factor the \sqrt{1-x^2} into the wghts + wgt /= std::sqrt(1 - pt * pt); - }; // Loop over points + // Transform points and populate arrays + // std::tie(pts[i],wghts[i]) = unitBoundTransform(lowBound,upBound,pt,wgt); + pts[i] = pt; + wghts[i] = wgt; - return std::tuple( std::move(pts), std::move(wghts) ); - - } + }; // Loop over points + return std::tuple(std::move(pts), std::move(wghts)); } +} // namespace IntegratorXX::deprecated + #endif diff --git a/include/integratorxx/deprecated/gausslegendre.hpp b/include/integratorxx/deprecated/gausslegendre.hpp index c93eef6..0c55e37 100644 --- a/include/integratorxx/deprecated/gausslegendre.hpp +++ b/include/integratorxx/deprecated/gausslegendre.hpp @@ -4,111 +4,106 @@ #include "util/bound_transform.hpp" namespace IntegratorXX::deprecated { - /** - * \brief Gauss-Legendre quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< GaussLegendre > { - - using point_container = typename GaussLegendre::point_container; - using weight_container = typename GaussLegendre::weight_container; - - /** - * \brief Generate the Gauss-Legendre quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \param[in] lo Lower bound of the integration - * \param[in] up Upper bound of the integration - * - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts, const PointType lo, const PointType up ); - - public: - - /** - * \brief Generate the Gauss-Legendre quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; - - - // Implementation of Gauss-Legendre quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< GaussLegendre >:: - generate_impl(const size_t nPts, const PointType lo, const PointType up) { - - assert( nPts % 2 == 0 ); - assert( lo != -std::numeric_limits::infinity() ); - assert( up != std::numeric_limits::infinity() ); - - point_container pts(nPts); - weight_container wghts(nPts); - - auto mid = (nPts + 1) / 2; - - const PointType eps(3.e-11); // Convergence tolerance - - // Legendre indexing starts at 1 - for( size_t i = 1; i <= mid; ++i ) { - - PointType z = std::cos( M_PI * (PointType(i) - 0.25) / (PointType(nPts) + 0.5)); - PointType pp(0), z1(0); - - // Iteratively determine the i-th root - while(std::abs(z-z1) > eps) { - PointType p1(1.), p2(0.); - - // Loop over the recurrence relation to evaluate the - // Legendre polynomial at position z - for( size_t j = 1; j <= nPts; ++j ){ - PointType p3 = p2; - p2 = p1; - p1 = ( (2. * PointType(j) - 1.) * z * p2 - (PointType(j) - 1.) * p3) / - PointType(j); - } // end j for - - // p1 is now the desired Legrendre polynomial. We next compute - // pp, its derivative, by a standard relation involving also p2, - // the polynomial of one lower order - pp = PointType(nPts) * (z * p1 - p2) / (z * z - 1.); - z1 = z; - z = z1 - p1 / pp; - } // end while - - PointType pt = z; - PointType wgt = 2. / (1. - z*z) / pp / pp; - - // Transform points and populate arrays - std::tie(pt,wgt) = - transform_minus_one_to_one(lo,up,pt,wgt); - pts[i-1] = pt; - wghts[i-1] = wgt; - - // Reflect the points - pts[nPts-i] = (lo + up) - pt; - wghts[nPts-i] = wgt; - - }; // Loop over points - - - return std::tuple( std::move(pts), std::move(wghts) ); +/** + * \brief Gauss-Legendre quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature< + GaussLegendre > { + using point_container = + typename GaussLegendre::point_container; + using weight_container = + typename GaussLegendre::weight_container; + /** + * \brief Generate the Gauss-Legendre quadrature rule of a specific order + * (impl) + * + * \param[in] nPts Number of quadrature points + * \param[in] lo Lower bound of the integration + * \param[in] up Upper bound of the integration + * + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts, const PointType lo, + const PointType up); + + public: + /** + * \brief Generate the Gauss-Legendre quadrature rule of a specific order + * (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); } - }; +// Implementation of Gauss-Legendre quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature< + GaussLegendre >:: + generate_impl(const size_t nPts, const PointType lo, const PointType up) { + assert(nPts % 2 == 0); + assert(lo != -std::numeric_limits::infinity()); + assert(up != std::numeric_limits::infinity()); + + point_container pts(nPts); + weight_container wghts(nPts); + + auto mid = (nPts + 1) / 2; + + const PointType eps(3.e-11); // Convergence tolerance + + // Legendre indexing starts at 1 + for(size_t i = 1; i <= mid; ++i) { + PointType z = + std::cos(M_PI * (PointType(i) - 0.25) / (PointType(nPts) + 0.5)); + PointType pp(0), z1(0); + + // Iteratively determine the i-th root + while(std::abs(z - z1) > eps) { + PointType p1(1.), p2(0.); + + // Loop over the recurrence relation to evaluate the + // Legendre polynomial at position z + for(size_t j = 1; j <= nPts; ++j) { + PointType p3 = p2; + p2 = p1; + p1 = ((2. * PointType(j) - 1.) * z * p2 - (PointType(j) - 1.) * p3) / + PointType(j); + } // end j for + + // p1 is now the desired Legrendre polynomial. We next compute + // pp, its derivative, by a standard relation involving also p2, + // the polynomial of one lower order + pp = PointType(nPts) * (z * p1 - p2) / (z * z - 1.); + z1 = z; + z = z1 - p1 / pp; + } // end while + + PointType pt = z; + PointType wgt = 2. / (1. - z * z) / pp / pp; + + // Transform points and populate arrays + std::tie(pt, wgt) = transform_minus_one_to_one(lo, up, pt, wgt); + pts[i - 1] = pt; + wghts[i - 1] = wgt; + + // Reflect the points + pts[nPts - i] = (lo + up) - pt; + wghts[nPts - i] = wgt; + + }; // Loop over points + + return std::tuple(std::move(pts), std::move(wghts)); +} + +}; // namespace IntegratorXX::deprecated + #endif diff --git a/include/integratorxx/deprecated/integrator.hpp b/include/integratorxx/deprecated/integrator.hpp index 4d0b4a7..25d78c3 100644 --- a/include/integratorxx/deprecated/integrator.hpp +++ b/include/integratorxx/deprecated/integrator.hpp @@ -5,61 +5,47 @@ namespace IntegratorXX::deprecated { - /* template struct is_increment_function_sig : std::false_type { }; template - struct is_increment_function_sig< + struct is_increment_function_sig< Func, RetType, - std::void_t(std::declval(), std::declval()...))>, - Args... > : std::true_type { }; -*/ - - - - - - template - class Integrator1D { - - const QuadratureBatch qb; - - public: - - Integrator1D() = delete; - Integrator1D( const Integrator1D& ) = default; - Integrator1D( Integrator1D&& ) = default; - - Integrator1D( const QuadType& q, const size_t bsz = 1 ) : - qb(q, bsz) { } - - - // TODO: SFINAE on function signature - template -/* - std::enable_if_t< - is_increment_function_sig< Func, RetType, const typename QuadType::point_container&, const typename QuadType::weight_container&, - Args... >::value, - RetType - > + std::void_t(std::declval(), + std::declval()...))>, Args... > : std::true_type { }; */ - RetType - integrate( const Func& func, RetType&& init, Args&&... args ) { - - for( auto&& [points,weights] : qb ) { - func( init, points, weights, std::forward(args)... ); - } - - return std::forward(init); +template +class Integrator1D { + const QuadratureBatch qb; + + public: + Integrator1D() = delete; + Integrator1D(const Integrator1D&) = default; + Integrator1D(Integrator1D&&) = default; + + Integrator1D(const QuadType& q, const size_t bsz = 1) : qb(q, bsz) {} + + // TODO: SFINAE on function signature + template + /* + std::enable_if_t< + is_increment_function_sig< Func, RetType, const typename + QuadType::point_container&, const typename QuadType::weight_container&, + Args... >::value, + RetType + > + */ + RetType integrate(const Func& func, RetType&& init, Args&&... args) { + for(auto&& [points, weights] : qb) { + func(init, points, weights, std::forward(args)...); } - - - }; - + return std::forward(init); + } }; + +}; // namespace IntegratorXX::deprecated #endif diff --git a/include/integratorxx/deprecated/knowles.hpp b/include/integratorxx/deprecated/knowles.hpp index 04e80dd..4384b02 100644 --- a/include/integratorxx/deprecated/knowles.hpp +++ b/include/integratorxx/deprecated/knowles.hpp @@ -3,68 +3,60 @@ namespace IntegratorXX::deprecated { - /** - * \brief Euler-Maclaurin quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< Knowles > { - - using point_container = typename Knowles::point_container; - using weight_container = typename Knowles::weight_container; - - /** - * \brief Generate the Euler-Maclaurin quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts ); - - public: +/** + * \brief Euler-Maclaurin quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature > { + using point_container = + typename Knowles::point_container; + using weight_container = + typename Knowles::weight_container; - /** - * \brief Generate the Euler-Maclaurin quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; + /** + * \brief Generate the Euler-Maclaurin quadrature rule of a specific order + * (impl) + * + * \param[in] nPts Number of quadrature points + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts); + + public: + /** + * \brief Generate the Euler-Maclaurin quadrature rule of a specific order + * (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); + } +}; - // Implementation of Euler-Maclaurin quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< Knowles >:: +// Implementation of Euler-Maclaurin quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature >:: generate_impl(const size_t nPts) { + point_container pts(nPts); + weight_container wghts(nPts); - point_container pts(nPts); - weight_container wghts(nPts); + for(size_t i = 0; i < nPts; i++) { + const PointType x = PointType(i + 1) / (nPts + 1); + const PointType x2 = x * x; + const PointType omx3 = 1. - x2 * x; - for(size_t i = 0; i < nPts; i++) { + pts[i] = -std::log(omx3); + wghts[i] = 3. * x2 / (nPts + 1) / omx3; - const PointType x = PointType(i+1) / (nPts + 1); - const PointType x2 = x*x; - const PointType omx3 = 1. - x2*x; - - pts[i] = -std::log( omx3 ); - wghts[i] = 3. * x2 / (nPts + 1) / omx3; - - }; // Loop over points - - return std::tuple( std::move(pts), std::move(wghts) ); - - } + }; // Loop over points + return std::tuple(std::move(pts), std::move(wghts)); } -#endif +} // namespace IntegratorXX::deprecated +#endif diff --git a/include/integratorxx/deprecated/lebedev.hpp b/include/integratorxx/deprecated/lebedev.hpp index 5904dd9..3a5cdef 100644 --- a/include/integratorxx/deprecated/lebedev.hpp +++ b/include/integratorxx/deprecated/lebedev.hpp @@ -5,161 +5,155 @@ namespace IntegratorXX::deprecated { - /** - * \brief Lebedev-Laikov quadrature factory - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class GenerateQuadrature< Lebedev > { - - using point_container = typename Lebedev::point_container; - using weight_container = typename Lebedev::weight_container; - - /** - * \brief Generate the Lebedev-Laikov quadrature rule of a specific order (impl) - * - * \param[in] nPts Number of quadrature points - * \returns [points,weights] tuple of quadrature points and weights - * - */ - static auto generate_impl( const size_t nPts ); - - public: +/** + * \brief Lebedev-Laikov quadrature factory + */ +template class ContiguousContainer> +class GenerateQuadrature > { + using point_container = + typename Lebedev::point_container; + using weight_container = + typename Lebedev::weight_container; - /** - * \brief Generate the Lebedev-Laikov quadrature rule of a specific order (interface) - */ - template - inline static auto generate(Args&&... args){ - return generate_impl( std::forward(args)... ); - } - - }; + /** + * \brief Generate the Lebedev-Laikov quadrature rule of a specific order + * (impl) + * + * \param[in] nPts Number of quadrature points + * \returns [points,weights] tuple of quadrature points and weights + * + */ + static auto generate_impl(const size_t nPts); + + public: + /** + * \brief Generate the Lebedev-Laikov quadrature rule of a specific order + * (interface) + */ + template + inline static auto generate(Args&&... args) { + return generate_impl(std::forward(args)...); + } +}; - // Implementation of Lebedev-Laikov quadrature factory - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - auto GenerateQuadrature< Lebedev >:: +// Implementation of Lebedev-Laikov quadrature factory +template class ContiguousContainer> +auto GenerateQuadrature >:: generate_impl(const size_t nPts) { + point_container pts(nPts); + weight_container wghts(nPts); - point_container pts(nPts); - weight_container wghts(nPts); - - auto copy_from_iterable = []( const auto& from, auto& to ) { - std::copy( from.begin(), from.end(), to.begin() ); - }; - - if( nPts == 6 ) { - copy_from_iterable( LebedevGrids::lebedev_6::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_6::weights, wghts ); - } else if( nPts == 14 ) { - copy_from_iterable( LebedevGrids::lebedev_14::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_14::weights, wghts ); - } else if( nPts == 26 ) { - copy_from_iterable( LebedevGrids::lebedev_26::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_26::weights, wghts ); - } else if( nPts == 38 ) { - copy_from_iterable( LebedevGrids::lebedev_38::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_38::weights, wghts ); - } else if( nPts == 50 ) { - copy_from_iterable( LebedevGrids::lebedev_50::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_50::weights, wghts ); - } else if( nPts == 74 ) { - copy_from_iterable( LebedevGrids::lebedev_74::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_74::weights, wghts ); - } else if( nPts == 86 ) { - copy_from_iterable( LebedevGrids::lebedev_86::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_86::weights, wghts ); - } else if( nPts == 110 ) { - copy_from_iterable( LebedevGrids::lebedev_110::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_110::weights, wghts ); - } else if( nPts == 146 ) { - copy_from_iterable( LebedevGrids::lebedev_146::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_146::weights, wghts ); - } else if( nPts == 14 ) { - copy_from_iterable( LebedevGrids::lebedev_14::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_14::weights, wghts ); - } else if( nPts == 170 ) { - copy_from_iterable( LebedevGrids::lebedev_170::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_170::weights, wghts ); - } else if( nPts == 194 ) { - copy_from_iterable( LebedevGrids::lebedev_194::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_194::weights, wghts ); - } else if( nPts == 230 ) { - copy_from_iterable( LebedevGrids::lebedev_230::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_230::weights, wghts ); - } else if( nPts == 266 ) { - copy_from_iterable( LebedevGrids::lebedev_266::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_266::weights, wghts ); - } else if( nPts == 302 ) { - copy_from_iterable( LebedevGrids::lebedev_302::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_302::weights, wghts ); - } else if( nPts == 350 ) { - copy_from_iterable( LebedevGrids::lebedev_350::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_350::weights, wghts ); - } else if( nPts == 434 ) { - copy_from_iterable( LebedevGrids::lebedev_434::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_434::weights, wghts ); - } else if( nPts == 590 ) { - copy_from_iterable( LebedevGrids::lebedev_590::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_590::weights, wghts ); - } else if( nPts == 770 ) { - copy_from_iterable( LebedevGrids::lebedev_770::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_770::weights, wghts ); - } else if( nPts == 974 ) { - copy_from_iterable( LebedevGrids::lebedev_974::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_974::weights, wghts ); - } else if( nPts == 1202 ) { - copy_from_iterable( LebedevGrids::lebedev_1202::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_1202::weights, wghts ); - } else if( nPts == 1454 ) { - copy_from_iterable( LebedevGrids::lebedev_1454::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_1454::weights, wghts ); - } else if( nPts == 1730 ) { - copy_from_iterable( LebedevGrids::lebedev_1730::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_1730::weights, wghts ); - } else if( nPts == 2030 ) { - copy_from_iterable( LebedevGrids::lebedev_2030::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_2030::weights, wghts ); - } else if( nPts == 2354 ) { - copy_from_iterable( LebedevGrids::lebedev_2354::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_2354::weights, wghts ); - } else if( nPts == 2702 ) { - copy_from_iterable( LebedevGrids::lebedev_2702::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_2702::weights, wghts ); - } else if( nPts == 3074 ) { - copy_from_iterable( LebedevGrids::lebedev_3074::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_3074::weights, wghts ); - } else if( nPts == 3470 ) { - copy_from_iterable( LebedevGrids::lebedev_3470::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_3470::weights, wghts ); - } else if( nPts == 3890 ) { - copy_from_iterable( LebedevGrids::lebedev_3890::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_3890::weights, wghts ); - } else if( nPts == 4334 ) { - copy_from_iterable( LebedevGrids::lebedev_4334::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_4334::weights, wghts ); - } else if( nPts == 4802 ) { - copy_from_iterable( LebedevGrids::lebedev_4802::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_4802::weights, wghts ); - } else if( nPts == 5294 ) { - copy_from_iterable( LebedevGrids::lebedev_5294::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_5294::weights, wghts ); - } else if( nPts == 5810 ) { - copy_from_iterable( LebedevGrids::lebedev_5810::points, pts ); - copy_from_iterable( LebedevGrids::lebedev_5810::weights, wghts ); - } - - return std::tuple( std::move(pts), std::move(wghts) ); + auto copy_from_iterable = [](const auto& from, auto& to) { + std::copy(from.begin(), from.end(), to.begin()); + }; + if(nPts == 6) { + copy_from_iterable(LebedevGrids::lebedev_6::points, pts); + copy_from_iterable(LebedevGrids::lebedev_6::weights, wghts); + } else if(nPts == 14) { + copy_from_iterable(LebedevGrids::lebedev_14::points, pts); + copy_from_iterable(LebedevGrids::lebedev_14::weights, wghts); + } else if(nPts == 26) { + copy_from_iterable(LebedevGrids::lebedev_26::points, pts); + copy_from_iterable(LebedevGrids::lebedev_26::weights, wghts); + } else if(nPts == 38) { + copy_from_iterable(LebedevGrids::lebedev_38::points, pts); + copy_from_iterable(LebedevGrids::lebedev_38::weights, wghts); + } else if(nPts == 50) { + copy_from_iterable(LebedevGrids::lebedev_50::points, pts); + copy_from_iterable(LebedevGrids::lebedev_50::weights, wghts); + } else if(nPts == 74) { + copy_from_iterable(LebedevGrids::lebedev_74::points, pts); + copy_from_iterable(LebedevGrids::lebedev_74::weights, wghts); + } else if(nPts == 86) { + copy_from_iterable(LebedevGrids::lebedev_86::points, pts); + copy_from_iterable(LebedevGrids::lebedev_86::weights, wghts); + } else if(nPts == 110) { + copy_from_iterable(LebedevGrids::lebedev_110::points, pts); + copy_from_iterable(LebedevGrids::lebedev_110::weights, wghts); + } else if(nPts == 146) { + copy_from_iterable(LebedevGrids::lebedev_146::points, pts); + copy_from_iterable(LebedevGrids::lebedev_146::weights, wghts); + } else if(nPts == 14) { + copy_from_iterable(LebedevGrids::lebedev_14::points, pts); + copy_from_iterable(LebedevGrids::lebedev_14::weights, wghts); + } else if(nPts == 170) { + copy_from_iterable(LebedevGrids::lebedev_170::points, pts); + copy_from_iterable(LebedevGrids::lebedev_170::weights, wghts); + } else if(nPts == 194) { + copy_from_iterable(LebedevGrids::lebedev_194::points, pts); + copy_from_iterable(LebedevGrids::lebedev_194::weights, wghts); + } else if(nPts == 230) { + copy_from_iterable(LebedevGrids::lebedev_230::points, pts); + copy_from_iterable(LebedevGrids::lebedev_230::weights, wghts); + } else if(nPts == 266) { + copy_from_iterable(LebedevGrids::lebedev_266::points, pts); + copy_from_iterable(LebedevGrids::lebedev_266::weights, wghts); + } else if(nPts == 302) { + copy_from_iterable(LebedevGrids::lebedev_302::points, pts); + copy_from_iterable(LebedevGrids::lebedev_302::weights, wghts); + } else if(nPts == 350) { + copy_from_iterable(LebedevGrids::lebedev_350::points, pts); + copy_from_iterable(LebedevGrids::lebedev_350::weights, wghts); + } else if(nPts == 434) { + copy_from_iterable(LebedevGrids::lebedev_434::points, pts); + copy_from_iterable(LebedevGrids::lebedev_434::weights, wghts); + } else if(nPts == 590) { + copy_from_iterable(LebedevGrids::lebedev_590::points, pts); + copy_from_iterable(LebedevGrids::lebedev_590::weights, wghts); + } else if(nPts == 770) { + copy_from_iterable(LebedevGrids::lebedev_770::points, pts); + copy_from_iterable(LebedevGrids::lebedev_770::weights, wghts); + } else if(nPts == 974) { + copy_from_iterable(LebedevGrids::lebedev_974::points, pts); + copy_from_iterable(LebedevGrids::lebedev_974::weights, wghts); + } else if(nPts == 1202) { + copy_from_iterable(LebedevGrids::lebedev_1202::points, pts); + copy_from_iterable(LebedevGrids::lebedev_1202::weights, wghts); + } else if(nPts == 1454) { + copy_from_iterable(LebedevGrids::lebedev_1454::points, pts); + copy_from_iterable(LebedevGrids::lebedev_1454::weights, wghts); + } else if(nPts == 1730) { + copy_from_iterable(LebedevGrids::lebedev_1730::points, pts); + copy_from_iterable(LebedevGrids::lebedev_1730::weights, wghts); + } else if(nPts == 2030) { + copy_from_iterable(LebedevGrids::lebedev_2030::points, pts); + copy_from_iterable(LebedevGrids::lebedev_2030::weights, wghts); + } else if(nPts == 2354) { + copy_from_iterable(LebedevGrids::lebedev_2354::points, pts); + copy_from_iterable(LebedevGrids::lebedev_2354::weights, wghts); + } else if(nPts == 2702) { + copy_from_iterable(LebedevGrids::lebedev_2702::points, pts); + copy_from_iterable(LebedevGrids::lebedev_2702::weights, wghts); + } else if(nPts == 3074) { + copy_from_iterable(LebedevGrids::lebedev_3074::points, pts); + copy_from_iterable(LebedevGrids::lebedev_3074::weights, wghts); + } else if(nPts == 3470) { + copy_from_iterable(LebedevGrids::lebedev_3470::points, pts); + copy_from_iterable(LebedevGrids::lebedev_3470::weights, wghts); + } else if(nPts == 3890) { + copy_from_iterable(LebedevGrids::lebedev_3890::points, pts); + copy_from_iterable(LebedevGrids::lebedev_3890::weights, wghts); + } else if(nPts == 4334) { + copy_from_iterable(LebedevGrids::lebedev_4334::points, pts); + copy_from_iterable(LebedevGrids::lebedev_4334::weights, wghts); + } else if(nPts == 4802) { + copy_from_iterable(LebedevGrids::lebedev_4802::points, pts); + copy_from_iterable(LebedevGrids::lebedev_4802::weights, wghts); + } else if(nPts == 5294) { + copy_from_iterable(LebedevGrids::lebedev_5294::points, pts); + copy_from_iterable(LebedevGrids::lebedev_5294::weights, wghts); + } else if(nPts == 5810) { + copy_from_iterable(LebedevGrids::lebedev_5810::points, pts); + copy_from_iterable(LebedevGrids::lebedev_5810::weights, wghts); } + return std::tuple(std::move(pts), std::move(wghts)); } +} // namespace IntegratorXX::deprecated + #endif diff --git a/include/integratorxx/deprecated/lebedev/lebedev_110.hpp b/include/integratorxx/deprecated/lebedev/lebedev_110.hpp index f994886..c198a50 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_110.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_110.hpp @@ -3,237 +3,160 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 110 - * + * */ template struct lebedev_110 { + static constexpr std::array, 110> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, + -1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, + 1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, + -1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, + 1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, + -1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, + 1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, + -1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, + 1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, + -1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, + 1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, + -1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, + 1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, + -1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, + 1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, + -1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, + 9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, + -9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, + 9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, + -9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, + 9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, + -9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, + 9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, + -9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, + 6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, + -6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, + 6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, + -6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, + 6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, + -6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, + 6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, + -6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, + 6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, + -6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, + 6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, + -6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, + 6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, + -6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, + 6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, + -6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, + 2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, + -2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, + 2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, + -2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, + 2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, + -2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, + 2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, + -2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, + 3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, + -3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, + 3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, + -3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, + 3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, + -3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, + 3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, + -3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, + 3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, + -3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, + 3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, + -3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, + 3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, + -3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, + 3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, + -3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, + 8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, + -8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, + 8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, + -8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, + 8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, + -8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, + 8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, + -8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, + 4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, + -4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, + 4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, + -4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, + 8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, + -8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, + 8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, + -8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, + 4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, + -4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, + 4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, + -4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, + 8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, + -8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, + 8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, + -8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, + 0.000000000000000e+00, 4.783690288121502e-01, 8.781589106040661e-01, + 0.000000000000000e+00, -4.783690288121502e-01, 8.781589106040661e-01, + 0.000000000000000e+00, 4.783690288121502e-01, -8.781589106040661e-01, + 0.000000000000000e+00, -4.783690288121502e-01, -8.781589106040661e-01, + 0.000000000000000e+00, 8.781589106040661e-01, 4.783690288121502e-01, + 0.000000000000000e+00, -8.781589106040661e-01, 4.783690288121502e-01, + 0.000000000000000e+00, 8.781589106040661e-01, -4.783690288121502e-01, + 0.000000000000000e+00, -8.781589106040661e-01, -4.783690288121502e-01}; - static constexpr std::array,110> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, - -1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, - 1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, - -1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, - 1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, - -1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, - 1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, - -1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, - 1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, - -1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, - 1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, - -1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, - 1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, - -1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, - 1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, - -1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, - 9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, - -9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, - 9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, - -9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, - 9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, - -9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, - 9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, - -9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, - 6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, - -6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, - 6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, - -6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, - 6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, - -6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, - 6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, - -6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, - 6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, - -6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, - 6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, - -6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, - 6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, - -6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, - 6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, - -6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, - 2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, - -2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, - 2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, - -2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, - 2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, - -2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, - 2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, - -2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, - 3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, - -3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, - 3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, - -3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, - 3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, - -3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, - 3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, - -3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, - 3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, - -3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, - 3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, - -3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, - 3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, - -3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, - 3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, - -3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, - 8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, - -8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, - 8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, - -8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, - 8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, - -8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, - 8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, - -8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, - 4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, - -4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, - 4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, - -4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, - 8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, - -8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, - 8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, - -8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, - 4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, - -4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, - 4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, - -4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, - 8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, - -8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, - 8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, - -8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, - 0.000000000000000e+00, 4.783690288121502e-01, 8.781589106040661e-01, - 0.000000000000000e+00, -4.783690288121502e-01, 8.781589106040661e-01, - 0.000000000000000e+00, 4.783690288121502e-01, -8.781589106040661e-01, - 0.000000000000000e+00, -4.783690288121502e-01, -8.781589106040661e-01, - 0.000000000000000e+00, 8.781589106040661e-01, 4.783690288121502e-01, - 0.000000000000000e+00, -8.781589106040661e-01, 4.783690288121502e-01, - 0.000000000000000e+00, 8.781589106040661e-01, -4.783690288121502e-01, - 0.000000000000000e+00, -8.781589106040661e-01, -4.783690288121502e-01 - }; - - - static constexpr std::array weights = { - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03 - }; -}; + static constexpr std::array weights = { + 3.828270494937162e-03, 3.828270494937162e-03, 3.828270494937162e-03, + 3.828270494937162e-03, 3.828270494937162e-03, 3.828270494937162e-03, + 9.793737512487513e-03, 9.793737512487513e-03, 9.793737512487513e-03, + 9.793737512487513e-03, 9.793737512487513e-03, 9.793737512487513e-03, + 9.793737512487513e-03, 9.793737512487513e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_1202.hpp b/include/integratorxx/deprecated/lebedev/lebedev_1202.hpp index 7f62c25..bd79f11 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_1202.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_1202.hpp @@ -3,2421 +3,1616 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 1202 - * + * */ template struct lebedev_1202 { + static constexpr std::array, 1202> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 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9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_14.hpp b/include/integratorxx/deprecated/lebedev/lebedev_14.hpp index 74d405d..e89ea53 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_14.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_14.hpp @@ -3,45 +3,32 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 14 - * + * */ template struct lebedev_14 { + static constexpr std::array, 14> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01}; - static constexpr std::array,14> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01 - }; - - - static constexpr std::array weights = { - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02 - }; -}; + static constexpr std::array weights = { + 6.666666666666667e-02, 6.666666666666667e-02, 6.666666666666667e-02, + 6.666666666666667e-02, 6.666666666666667e-02, 6.666666666666667e-02, + 7.500000000000000e-02, 7.500000000000000e-02, 7.500000000000000e-02, + 7.500000000000000e-02, 7.500000000000000e-02, 7.500000000000000e-02, + 7.500000000000000e-02, 7.500000000000000e-02}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_1454.hpp b/include/integratorxx/deprecated/lebedev/lebedev_1454.hpp index a7672d4..867cb57 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_1454.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_1454.hpp @@ -3,2925 +3,1952 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 1454 - * + * */ template struct lebedev_1454 { + static constexpr std::array, 1454> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 3.229290663413854e-02, 3.229290663413854e-02, 9.989566238642384e-01, + -3.229290663413854e-02, 3.229290663413854e-02, 9.989566238642384e-01, + 3.229290663413854e-02, -3.229290663413854e-02, 9.989566238642384e-01, + -3.229290663413854e-02, -3.229290663413854e-02, 9.989566238642384e-01, + 3.229290663413854e-02, 3.229290663413854e-02, 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for Order = 146 - * + * */ template struct lebedev_146 { + static constexpr std::array, 146> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 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-4.174961227965453e-01, -4.174961227965453e-01, -8.070898183595826e-01, - 4.174961227965453e-01, 8.070898183595826e-01, 4.174961227965453e-01, - -4.174961227965453e-01, 8.070898183595826e-01, 4.174961227965453e-01, - 4.174961227965453e-01, -8.070898183595826e-01, 4.174961227965453e-01, - -4.174961227965453e-01, -8.070898183595826e-01, 4.174961227965453e-01, - 4.174961227965453e-01, 8.070898183595826e-01, -4.174961227965453e-01, - -4.174961227965453e-01, 8.070898183595826e-01, -4.174961227965453e-01, - 4.174961227965453e-01, -8.070898183595826e-01, -4.174961227965453e-01, - -4.174961227965453e-01, -8.070898183595826e-01, -4.174961227965453e-01, - 8.070898183595826e-01, 4.174961227965453e-01, 4.174961227965453e-01, - -8.070898183595826e-01, 4.174961227965453e-01, 4.174961227965453e-01, - 8.070898183595826e-01, -4.174961227965453e-01, 4.174961227965453e-01, - -8.070898183595826e-01, -4.174961227965453e-01, 4.174961227965453e-01, - 8.070898183595826e-01, 4.174961227965453e-01, -4.174961227965453e-01, - -8.070898183595826e-01, 4.174961227965453e-01, -4.174961227965453e-01, - 8.070898183595826e-01, -4.174961227965453e-01, -4.174961227965453e-01, - -8.070898183595826e-01, -4.174961227965453e-01, -4.174961227965453e-01, - 1.574676672039082e-01, 1.574676672039082e-01, 9.748886436771732e-01, - -1.574676672039082e-01, 1.574676672039082e-01, 9.748886436771732e-01, - 1.574676672039082e-01, -1.574676672039082e-01, 9.748886436771732e-01, - -1.574676672039082e-01, -1.574676672039082e-01, 9.748886436771732e-01, - 1.574676672039082e-01, 1.574676672039082e-01, -9.748886436771732e-01, - -1.574676672039082e-01, 1.574676672039082e-01, -9.748886436771732e-01, - 1.574676672039082e-01, -1.574676672039082e-01, -9.748886436771732e-01, - -1.574676672039082e-01, -1.574676672039082e-01, -9.748886436771732e-01, - 1.574676672039082e-01, 9.748886436771732e-01, 1.574676672039082e-01, - -1.574676672039082e-01, 9.748886436771732e-01, 1.574676672039082e-01, - 1.574676672039082e-01, -9.748886436771732e-01, 1.574676672039082e-01, - -1.574676672039082e-01, -9.748886436771732e-01, 1.574676672039082e-01, - 1.574676672039082e-01, 9.748886436771732e-01, -1.574676672039082e-01, - -1.574676672039082e-01, 9.748886436771732e-01, -1.574676672039082e-01, - 1.574676672039082e-01, -9.748886436771732e-01, -1.574676672039082e-01, - -1.574676672039082e-01, -9.748886436771732e-01, -1.574676672039082e-01, - 9.748886436771732e-01, 1.574676672039082e-01, 1.574676672039082e-01, - -9.748886436771732e-01, 1.574676672039082e-01, 1.574676672039082e-01, - 9.748886436771732e-01, -1.574676672039082e-01, 1.574676672039082e-01, - -9.748886436771732e-01, -1.574676672039082e-01, 1.574676672039082e-01, - 9.748886436771732e-01, 1.574676672039082e-01, -1.574676672039082e-01, - -9.748886436771732e-01, 1.574676672039082e-01, -1.574676672039082e-01, - 9.748886436771732e-01, -1.574676672039082e-01, -1.574676672039082e-01, - -9.748886436771732e-01, -1.574676672039082e-01, -1.574676672039082e-01, - 1.403553811713183e-01, 4.493328323269557e-01, 8.822700112603227e-01, - -1.403553811713183e-01, 4.493328323269557e-01, 8.822700112603227e-01, - 1.403553811713183e-01, -4.493328323269557e-01, 8.822700112603227e-01, - -1.403553811713183e-01, -4.493328323269557e-01, 8.822700112603227e-01, - 1.403553811713183e-01, 4.493328323269557e-01, -8.822700112603227e-01, - -1.403553811713183e-01, 4.493328323269557e-01, -8.822700112603227e-01, - 1.403553811713183e-01, -4.493328323269557e-01, -8.822700112603227e-01, - -1.403553811713183e-01, -4.493328323269557e-01, -8.822700112603227e-01, - 1.403553811713183e-01, 8.822700112603227e-01, 4.493328323269557e-01, - -1.403553811713183e-01, 8.822700112603227e-01, 4.493328323269557e-01, - 1.403553811713183e-01, -8.822700112603227e-01, 4.493328323269557e-01, - -1.403553811713183e-01, -8.822700112603227e-01, 4.493328323269557e-01, - 1.403553811713183e-01, 8.822700112603227e-01, -4.493328323269557e-01, - -1.403553811713183e-01, 8.822700112603227e-01, -4.493328323269557e-01, - 1.403553811713183e-01, -8.822700112603227e-01, -4.493328323269557e-01, - -1.403553811713183e-01, -8.822700112603227e-01, -4.493328323269557e-01, - 4.493328323269557e-01, 1.403553811713183e-01, 8.822700112603227e-01, - -4.493328323269557e-01, 1.403553811713183e-01, 8.822700112603227e-01, - 4.493328323269557e-01, -1.403553811713183e-01, 8.822700112603227e-01, - -4.493328323269557e-01, -1.403553811713183e-01, 8.822700112603227e-01, - 4.493328323269557e-01, 1.403553811713183e-01, -8.822700112603227e-01, - -4.493328323269557e-01, 1.403553811713183e-01, -8.822700112603227e-01, - 4.493328323269557e-01, -1.403553811713183e-01, -8.822700112603227e-01, - -4.493328323269557e-01, -1.403553811713183e-01, -8.822700112603227e-01, - 4.493328323269557e-01, 8.822700112603227e-01, 1.403553811713183e-01, - -4.493328323269557e-01, 8.822700112603227e-01, 1.403553811713183e-01, - 4.493328323269557e-01, -8.822700112603227e-01, 1.403553811713183e-01, - -4.493328323269557e-01, -8.822700112603227e-01, 1.403553811713183e-01, - 4.493328323269557e-01, 8.822700112603227e-01, -1.403553811713183e-01, - -4.493328323269557e-01, 8.822700112603227e-01, -1.403553811713183e-01, - 4.493328323269557e-01, -8.822700112603227e-01, -1.403553811713183e-01, - -4.493328323269557e-01, -8.822700112603227e-01, -1.403553811713183e-01, - 8.822700112603227e-01, 1.403553811713183e-01, 4.493328323269557e-01, - -8.822700112603227e-01, 1.403553811713183e-01, 4.493328323269557e-01, - 8.822700112603227e-01, -1.403553811713183e-01, 4.493328323269557e-01, - -8.822700112603227e-01, -1.403553811713183e-01, 4.493328323269557e-01, - 8.822700112603227e-01, 1.403553811713183e-01, -4.493328323269557e-01, - -8.822700112603227e-01, 1.403553811713183e-01, -4.493328323269557e-01, - 8.822700112603227e-01, -1.403553811713183e-01, -4.493328323269557e-01, - -8.822700112603227e-01, -1.403553811713183e-01, -4.493328323269557e-01, - 8.822700112603227e-01, 4.493328323269557e-01, 1.403553811713183e-01, - -8.822700112603227e-01, 4.493328323269557e-01, 1.403553811713183e-01, - 8.822700112603227e-01, -4.493328323269557e-01, 1.403553811713183e-01, - -8.822700112603227e-01, -4.493328323269557e-01, 1.403553811713183e-01, - 8.822700112603227e-01, 4.493328323269557e-01, -1.403553811713183e-01, - -8.822700112603227e-01, 4.493328323269557e-01, -1.403553811713183e-01, - 8.822700112603227e-01, -4.493328323269557e-01, -1.403553811713183e-01, - -8.822700112603227e-01, -4.493328323269557e-01, -1.403553811713183e-01 - }; - - - static constexpr std::array weights = { - 5.996313688621381e-04, - 5.996313688621381e-04, - 5.996313688621381e-04, - 5.996313688621381e-04, - 5.996313688621381e-04, - 5.996313688621381e-04, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.372999718620756e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.210515360144488e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 7.116355493117555e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 6.753829486314477e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 7.574394159054034e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03 - }; -}; + static constexpr std::array weights = { + 5.996313688621381e-04, 5.996313688621381e-04, 5.996313688621381e-04, + 5.996313688621381e-04, 5.996313688621381e-04, 5.996313688621381e-04, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.210515360144488e-03, 7.210515360144488e-03, 7.210515360144488e-03, + 7.210515360144488e-03, 7.210515360144488e-03, 7.210515360144488e-03, + 7.210515360144488e-03, 7.210515360144488e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_170.hpp b/include/integratorxx/deprecated/lebedev/lebedev_170.hpp index b230f8e..df0d3c0 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_170.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_170.hpp @@ -3,357 +3,240 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 170 - * + * */ template struct lebedev_170 { + static constexpr std::array, 170> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, + -2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, + 2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, + -2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, + 2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, + -2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, + 2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, + -2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, + 2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, + -2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, + 2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, + -2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, + 2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, + -2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, + 2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, + -2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, + 9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, + -9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, + 9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, + -9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, + 9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, + -9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, + 9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, + -9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, + 6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, + -6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, + 6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, + -6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, + 6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, + -6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, + 6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, + -6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, + 6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, + -6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, + 6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, + -6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, + 6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, + -6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, + 6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, + -6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, + 3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, + -3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, + 3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, + -3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, + 3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, + -3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, + 3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, + -3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, + 4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, + -4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, + 4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, + -4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, + 4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, + -4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, + 4.318910696719410e-01, -4.318910696719410e-01, -7.917955593934921e-01, + -4.318910696719410e-01, -4.318910696719410e-01, -7.917955593934921e-01, + 4.318910696719410e-01, 7.917955593934921e-01, 4.318910696719410e-01, + -4.318910696719410e-01, 7.917955593934921e-01, 4.318910696719410e-01, + 4.318910696719410e-01, -7.917955593934921e-01, 4.318910696719410e-01, + -4.318910696719410e-01, -7.917955593934921e-01, 4.318910696719410e-01, + 4.318910696719410e-01, 7.917955593934921e-01, -4.318910696719410e-01, + -4.318910696719410e-01, 7.917955593934921e-01, -4.318910696719410e-01, + 4.318910696719410e-01, -7.917955593934921e-01, -4.318910696719410e-01, + -4.318910696719410e-01, -7.917955593934921e-01, -4.318910696719410e-01, + 7.917955593934921e-01, 4.318910696719410e-01, 4.318910696719410e-01, + -7.917955593934921e-01, 4.318910696719410e-01, 4.318910696719410e-01, + 7.917955593934921e-01, -4.318910696719410e-01, 4.318910696719410e-01, + -7.917955593934921e-01, -4.318910696719410e-01, 4.318910696719410e-01, + 7.917955593934921e-01, 4.318910696719410e-01, -4.318910696719410e-01, + -7.917955593934921e-01, 4.318910696719410e-01, -4.318910696719410e-01, + 7.917955593934921e-01, -4.318910696719410e-01, -4.318910696719410e-01, + -7.917955593934921e-01, -4.318910696719410e-01, -4.318910696719410e-01, + 2.613931360335988e-01, 9.652324219764484e-01, 0.000000000000000e+00, + -2.613931360335988e-01, 9.652324219764484e-01, 0.000000000000000e+00, + 2.613931360335988e-01, -9.652324219764484e-01, 0.000000000000000e+00, + -2.613931360335988e-01, -9.652324219764484e-01, 0.000000000000000e+00, + 9.652324219764484e-01, 2.613931360335988e-01, 0.000000000000000e+00, + -9.652324219764484e-01, 2.613931360335988e-01, 0.000000000000000e+00, + 9.652324219764484e-01, -2.613931360335988e-01, 0.000000000000000e+00, + -9.652324219764484e-01, -2.613931360335988e-01, 0.000000000000000e+00, + 2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, + -2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, + 2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, + -2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, + 9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, + -9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, + 9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, + -9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, + 0.000000000000000e+00, 2.613931360335988e-01, 9.652324219764484e-01, + 0.000000000000000e+00, -2.613931360335988e-01, 9.652324219764484e-01, + 0.000000000000000e+00, 2.613931360335988e-01, -9.652324219764484e-01, + 0.000000000000000e+00, -2.613931360335988e-01, -9.652324219764484e-01, + 0.000000000000000e+00, 9.652324219764484e-01, 2.613931360335988e-01, + 0.000000000000000e+00, -9.652324219764484e-01, 2.613931360335988e-01, + 0.000000000000000e+00, 9.652324219764484e-01, -2.613931360335988e-01, + 0.000000000000000e+00, -9.652324219764484e-01, -2.613931360335988e-01, + 4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, + -4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, + 4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, + -4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, + 4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, + -4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, + 4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, + -4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, + 4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, + -4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, + 4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, + -4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, + 4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, + -4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, + 4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, + -4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, + 1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, + -1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, + 1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, + -1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, + 1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, + -1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, + 1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, + -1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, + 1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, + -1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, + 1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, + -1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, + 1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, + -1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, + 1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, + -1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, + 8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, + -8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, + 8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, + -8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, + 8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, + -8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, + 8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, + -8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, + 8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, + -8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, + 8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, + -8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, + 8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, + -8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, + 8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01, + -8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01}; - static constexpr std::array,170> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, - -2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, - 2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, - -2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, - 2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, - -2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, - 2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, - -2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, - 2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, - -2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, - 2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, - -2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, - 2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, - -2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, - 2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, - -2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, - 9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, - -9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, - 9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, - -9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, - 9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, - -9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, - 9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, - -9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, - 6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, - -6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, - 6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, - -6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, - 6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, - -6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, - 6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, - -6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, - 6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, - -6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, - 6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, - -6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, - 6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, - -6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, - 6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, - -6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, - 3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, - -3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, - 3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, - -3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, - 3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, - -3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, - 3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, - -3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, - 4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, - -4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, - 4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, - -4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, - 4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, - -4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, - 4.318910696719410e-01, -4.318910696719410e-01, -7.917955593934921e-01, - -4.318910696719410e-01, -4.318910696719410e-01, -7.917955593934921e-01, - 4.318910696719410e-01, 7.917955593934921e-01, 4.318910696719410e-01, - -4.318910696719410e-01, 7.917955593934921e-01, 4.318910696719410e-01, - 4.318910696719410e-01, -7.917955593934921e-01, 4.318910696719410e-01, - -4.318910696719410e-01, -7.917955593934921e-01, 4.318910696719410e-01, - 4.318910696719410e-01, 7.917955593934921e-01, -4.318910696719410e-01, - -4.318910696719410e-01, 7.917955593934921e-01, -4.318910696719410e-01, - 4.318910696719410e-01, -7.917955593934921e-01, -4.318910696719410e-01, - -4.318910696719410e-01, -7.917955593934921e-01, -4.318910696719410e-01, - 7.917955593934921e-01, 4.318910696719410e-01, 4.318910696719410e-01, - -7.917955593934921e-01, 4.318910696719410e-01, 4.318910696719410e-01, - 7.917955593934921e-01, -4.318910696719410e-01, 4.318910696719410e-01, - -7.917955593934921e-01, -4.318910696719410e-01, 4.318910696719410e-01, - 7.917955593934921e-01, 4.318910696719410e-01, -4.318910696719410e-01, - -7.917955593934921e-01, 4.318910696719410e-01, -4.318910696719410e-01, - 7.917955593934921e-01, -4.318910696719410e-01, -4.318910696719410e-01, - -7.917955593934921e-01, -4.318910696719410e-01, -4.318910696719410e-01, - 2.613931360335988e-01, 9.652324219764484e-01, 0.000000000000000e+00, - -2.613931360335988e-01, 9.652324219764484e-01, 0.000000000000000e+00, - 2.613931360335988e-01, -9.652324219764484e-01, 0.000000000000000e+00, - -2.613931360335988e-01, -9.652324219764484e-01, 0.000000000000000e+00, - 9.652324219764484e-01, 2.613931360335988e-01, 0.000000000000000e+00, - -9.652324219764484e-01, 2.613931360335988e-01, 0.000000000000000e+00, - 9.652324219764484e-01, -2.613931360335988e-01, 0.000000000000000e+00, - -9.652324219764484e-01, -2.613931360335988e-01, 0.000000000000000e+00, - 2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, - -2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, - 2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, - -2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, - 9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, - -9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, - 9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, - -9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, - 0.000000000000000e+00, 2.613931360335988e-01, 9.652324219764484e-01, - 0.000000000000000e+00, -2.613931360335988e-01, 9.652324219764484e-01, - 0.000000000000000e+00, 2.613931360335988e-01, -9.652324219764484e-01, - 0.000000000000000e+00, -2.613931360335988e-01, -9.652324219764484e-01, - 0.000000000000000e+00, 9.652324219764484e-01, 2.613931360335988e-01, - 0.000000000000000e+00, -9.652324219764484e-01, 2.613931360335988e-01, - 0.000000000000000e+00, 9.652324219764484e-01, -2.613931360335988e-01, - 0.000000000000000e+00, -9.652324219764484e-01, -2.613931360335988e-01, - 4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, - -4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, - 4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, - -4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, - 4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, - -4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, - 4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, - -4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, - 4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, - -4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, - 4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, - -4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, - 4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, - -4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, - 4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, - -4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, - 1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, - -1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, - 1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, - -1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, - 1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, - -1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, - 1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, - -1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, - 1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, - -1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, - 1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, - -1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, - 1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, - -1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, - 1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, - -1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, - 8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, - -8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, - 8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, - -8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, - 8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, - -8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, - 8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, - -8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, - 8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, - -8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, - 8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, - -8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, - 8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, - -8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, - 8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01, - -8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01 - }; - - - static constexpr std::array weights = { - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03 - }; -}; + static constexpr std::array weights = { + 5.544842902037365e-03, 5.544842902037365e-03, 5.544842902037365e-03, + 5.544842902037365e-03, 5.544842902037365e-03, 5.544842902037365e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.383674773515093e-03, 6.383674773515093e-03, 6.383674773515093e-03, + 6.383674773515093e-03, 6.383674773515093e-03, 6.383674773515093e-03, + 6.383674773515093e-03, 6.383674773515093e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_1730.hpp b/include/integratorxx/deprecated/lebedev/lebedev_1730.hpp index a0aa255..c89fc17 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_1730.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_1730.hpp @@ -3,3477 +3,2320 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 1730 - * + * */ template struct lebedev_1730 { + static constexpr std::array, 1730> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.860923126194662e-02, 2.860923126194662e-02, 9.991811766507619e-01, + -2.860923126194662e-02, 2.860923126194662e-02, 9.991811766507619e-01, + 2.860923126194662e-02, -2.860923126194662e-02, 9.991811766507619e-01, + -2.860923126194662e-02, -2.860923126194662e-02, 9.991811766507619e-01, + 2.860923126194662e-02, 2.860923126194662e-02, -9.991811766507619e-01, + -2.860923126194662e-02, 2.860923126194662e-02, -9.991811766507619e-01, + 2.860923126194662e-02, -2.860923126194662e-02, -9.991811766507619e-01, + -2.860923126194662e-02, -2.860923126194662e-02, -9.991811766507619e-01, + 2.860923126194662e-02, 9.991811766507619e-01, 2.860923126194662e-02, + -2.860923126194662e-02, 9.991811766507619e-01, 2.860923126194662e-02, + 2.860923126194662e-02, -9.991811766507619e-01, 2.860923126194662e-02, + -2.860923126194662e-02, 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6.511904367376113e-01, -5.354789536565540e-02, + -7.570228781241607e-01, 6.511904367376113e-01, -5.354789536565540e-02, + 7.570228781241607e-01, -6.511904367376113e-01, -5.354789536565540e-02, + -7.570228781241607e-01, -6.511904367376113e-01, -5.354789536565540e-02, + 7.570228781241607e-01, 5.354789536565540e-02, 6.511904367376113e-01, + -7.570228781241607e-01, 5.354789536565540e-02, 6.511904367376113e-01, + 7.570228781241607e-01, -5.354789536565540e-02, 6.511904367376113e-01, + -7.570228781241607e-01, -5.354789536565540e-02, 6.511904367376113e-01, + 7.570228781241607e-01, 5.354789536565540e-02, -6.511904367376113e-01, + -7.570228781241607e-01, 5.354789536565540e-02, -6.511904367376113e-01, + 7.570228781241607e-01, -5.354789536565540e-02, -6.511904367376113e-01, + -7.570228781241607e-01, -5.354789536565540e-02, -6.511904367376113e-01}; - static constexpr std::array,1730> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 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6.375414170333233e-04, 6.375414170333233e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_194.hpp b/include/integratorxx/deprecated/lebedev/lebedev_194.hpp index 9c4ba4e..1c08a38 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_194.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_194.hpp @@ -3,405 +3,272 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 194 - * + * */ template struct lebedev_194 { + static constexpr std::array, 194> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 6.712973442695226e-01, 6.712973442695226e-01, 3.141969941825863e-01, + -6.712973442695226e-01, 6.712973442695226e-01, 3.141969941825863e-01, + 6.712973442695226e-01, -6.712973442695226e-01, 3.141969941825863e-01, + -6.712973442695226e-01, -6.712973442695226e-01, 3.141969941825863e-01, + 6.712973442695226e-01, 6.712973442695226e-01, -3.141969941825863e-01, + -6.712973442695226e-01, 6.712973442695226e-01, -3.141969941825863e-01, + 6.712973442695226e-01, -6.712973442695226e-01, -3.141969941825863e-01, + -6.712973442695226e-01, -6.712973442695226e-01, -3.141969941825863e-01, + 6.712973442695226e-01, 3.141969941825863e-01, 6.712973442695226e-01, + -6.712973442695226e-01, 3.141969941825863e-01, 6.712973442695226e-01, + 6.712973442695226e-01, -3.141969941825863e-01, 6.712973442695226e-01, + -6.712973442695226e-01, -3.141969941825863e-01, 6.712973442695226e-01, + 6.712973442695226e-01, 3.141969941825863e-01, -6.712973442695226e-01, + -6.712973442695226e-01, 3.141969941825863e-01, -6.712973442695226e-01, + 6.712973442695226e-01, -3.141969941825863e-01, -6.712973442695226e-01, + -6.712973442695226e-01, -3.141969941825863e-01, -6.712973442695226e-01, + 3.141969941825863e-01, 6.712973442695226e-01, 6.712973442695226e-01, + -3.141969941825863e-01, 6.712973442695226e-01, 6.712973442695226e-01, + 3.141969941825863e-01, -6.712973442695226e-01, 6.712973442695226e-01, + -3.141969941825863e-01, -6.712973442695226e-01, 6.712973442695226e-01, + 3.141969941825863e-01, 6.712973442695226e-01, -6.712973442695226e-01, + -3.141969941825863e-01, 6.712973442695226e-01, -6.712973442695226e-01, + 3.141969941825863e-01, -6.712973442695226e-01, -6.712973442695226e-01, + -3.141969941825863e-01, -6.712973442695226e-01, -6.712973442695226e-01, + 2.892465627575439e-01, 2.892465627575439e-01, 9.125090968674737e-01, + -2.892465627575439e-01, 2.892465627575439e-01, 9.125090968674737e-01, + 2.892465627575439e-01, -2.892465627575439e-01, 9.125090968674737e-01, + -2.892465627575439e-01, -2.892465627575439e-01, 9.125090968674737e-01, + 2.892465627575439e-01, 2.892465627575439e-01, -9.125090968674737e-01, + -2.892465627575439e-01, 2.892465627575439e-01, -9.125090968674737e-01, + 2.892465627575439e-01, -2.892465627575439e-01, -9.125090968674737e-01, + -2.892465627575439e-01, -2.892465627575439e-01, -9.125090968674737e-01, + 2.892465627575439e-01, 9.125090968674737e-01, 2.892465627575439e-01, + -2.892465627575439e-01, 9.125090968674737e-01, 2.892465627575439e-01, + 2.892465627575439e-01, -9.125090968674737e-01, 2.892465627575439e-01, + -2.892465627575439e-01, -9.125090968674737e-01, 2.892465627575439e-01, + 2.892465627575439e-01, 9.125090968674737e-01, -2.892465627575439e-01, + -2.892465627575439e-01, 9.125090968674737e-01, -2.892465627575439e-01, + 2.892465627575439e-01, -9.125090968674737e-01, -2.892465627575439e-01, + -2.892465627575439e-01, -9.125090968674737e-01, -2.892465627575439e-01, + 9.125090968674737e-01, 2.892465627575439e-01, 2.892465627575439e-01, + -9.125090968674737e-01, 2.892465627575439e-01, 2.892465627575439e-01, + 9.125090968674737e-01, -2.892465627575439e-01, 2.892465627575439e-01, + -9.125090968674737e-01, -2.892465627575439e-01, 2.892465627575439e-01, + 9.125090968674737e-01, 2.892465627575439e-01, -2.892465627575439e-01, + -9.125090968674737e-01, 2.892465627575439e-01, -2.892465627575439e-01, + 9.125090968674737e-01, -2.892465627575439e-01, -2.892465627575439e-01, + -9.125090968674737e-01, -2.892465627575439e-01, -2.892465627575439e-01, + 4.446933178717437e-01, 4.446933178717437e-01, 7.774932193147671e-01, + -4.446933178717437e-01, 4.446933178717437e-01, 7.774932193147671e-01, + 4.446933178717437e-01, -4.446933178717437e-01, 7.774932193147671e-01, + -4.446933178717437e-01, -4.446933178717437e-01, 7.774932193147671e-01, + 4.446933178717437e-01, 4.446933178717437e-01, -7.774932193147671e-01, + -4.446933178717437e-01, 4.446933178717437e-01, -7.774932193147671e-01, + 4.446933178717437e-01, -4.446933178717437e-01, -7.774932193147671e-01, + -4.446933178717437e-01, -4.446933178717437e-01, -7.774932193147671e-01, + 4.446933178717437e-01, 7.774932193147671e-01, 4.446933178717437e-01, + -4.446933178717437e-01, 7.774932193147671e-01, 4.446933178717437e-01, + 4.446933178717437e-01, -7.774932193147671e-01, 4.446933178717437e-01, + -4.446933178717437e-01, -7.774932193147671e-01, 4.446933178717437e-01, + 4.446933178717437e-01, 7.774932193147671e-01, -4.446933178717437e-01, + -4.446933178717437e-01, 7.774932193147671e-01, -4.446933178717437e-01, + 4.446933178717437e-01, -7.774932193147671e-01, -4.446933178717437e-01, + -4.446933178717437e-01, -7.774932193147671e-01, -4.446933178717437e-01, + 7.774932193147671e-01, 4.446933178717437e-01, 4.446933178717437e-01, + -7.774932193147671e-01, 4.446933178717437e-01, 4.446933178717437e-01, + 7.774932193147671e-01, -4.446933178717437e-01, 4.446933178717437e-01, + -7.774932193147671e-01, -4.446933178717437e-01, 4.446933178717437e-01, + 7.774932193147671e-01, 4.446933178717437e-01, -4.446933178717437e-01, + -7.774932193147671e-01, 4.446933178717437e-01, -4.446933178717437e-01, + 7.774932193147671e-01, -4.446933178717437e-01, -4.446933178717437e-01, + -7.774932193147671e-01, -4.446933178717437e-01, -4.446933178717437e-01, + 1.299335447650067e-01, 1.299335447650067e-01, 9.829723027072532e-01, + -1.299335447650067e-01, 1.299335447650067e-01, 9.829723027072532e-01, + 1.299335447650067e-01, -1.299335447650067e-01, 9.829723027072532e-01, + -1.299335447650067e-01, -1.299335447650067e-01, 9.829723027072532e-01, + 1.299335447650067e-01, 1.299335447650067e-01, -9.829723027072532e-01, + -1.299335447650067e-01, 1.299335447650067e-01, -9.829723027072532e-01, + 1.299335447650067e-01, -1.299335447650067e-01, -9.829723027072532e-01, + -1.299335447650067e-01, -1.299335447650067e-01, -9.829723027072532e-01, + 1.299335447650067e-01, 9.829723027072532e-01, 1.299335447650067e-01, + -1.299335447650067e-01, 9.829723027072532e-01, 1.299335447650067e-01, + 1.299335447650067e-01, -9.829723027072532e-01, 1.299335447650067e-01, + -1.299335447650067e-01, -9.829723027072532e-01, 1.299335447650067e-01, + 1.299335447650067e-01, 9.829723027072532e-01, -1.299335447650067e-01, + -1.299335447650067e-01, 9.829723027072532e-01, -1.299335447650067e-01, + 1.299335447650067e-01, -9.829723027072532e-01, -1.299335447650067e-01, + -1.299335447650067e-01, -9.829723027072532e-01, -1.299335447650067e-01, + 9.829723027072532e-01, 1.299335447650067e-01, 1.299335447650067e-01, + -9.829723027072532e-01, 1.299335447650067e-01, 1.299335447650067e-01, + 9.829723027072532e-01, -1.299335447650067e-01, 1.299335447650067e-01, + -9.829723027072532e-01, -1.299335447650067e-01, 1.299335447650067e-01, + 9.829723027072532e-01, 1.299335447650067e-01, -1.299335447650067e-01, + -9.829723027072532e-01, 1.299335447650067e-01, -1.299335447650067e-01, + 9.829723027072532e-01, -1.299335447650067e-01, -1.299335447650067e-01, + -9.829723027072532e-01, -1.299335447650067e-01, -1.299335447650067e-01, + 3.457702197611283e-01, 9.383192181375916e-01, 0.000000000000000e+00, + -3.457702197611283e-01, 9.383192181375916e-01, 0.000000000000000e+00, + 3.457702197611283e-01, -9.383192181375916e-01, 0.000000000000000e+00, + -3.457702197611283e-01, -9.383192181375916e-01, 0.000000000000000e+00, + 9.383192181375916e-01, 3.457702197611283e-01, 0.000000000000000e+00, + -9.383192181375916e-01, 3.457702197611283e-01, 0.000000000000000e+00, + 9.383192181375916e-01, -3.457702197611283e-01, 0.000000000000000e+00, + -9.383192181375916e-01, -3.457702197611283e-01, 0.000000000000000e+00, + 3.457702197611283e-01, 0.000000000000000e+00, 9.383192181375916e-01, + -3.457702197611283e-01, 0.000000000000000e+00, 9.383192181375916e-01, + 3.457702197611283e-01, 0.000000000000000e+00, -9.383192181375916e-01, + -3.457702197611283e-01, 0.000000000000000e+00, -9.383192181375916e-01, + 9.383192181375916e-01, 0.000000000000000e+00, 3.457702197611283e-01, + -9.383192181375916e-01, 0.000000000000000e+00, 3.457702197611283e-01, + 9.383192181375916e-01, 0.000000000000000e+00, -3.457702197611283e-01, + -9.383192181375916e-01, 0.000000000000000e+00, -3.457702197611283e-01, + 0.000000000000000e+00, 3.457702197611283e-01, 9.383192181375916e-01, + 0.000000000000000e+00, -3.457702197611283e-01, 9.383192181375916e-01, + 0.000000000000000e+00, 3.457702197611283e-01, -9.383192181375916e-01, + 0.000000000000000e+00, -3.457702197611283e-01, -9.383192181375916e-01, + 0.000000000000000e+00, 9.383192181375916e-01, 3.457702197611283e-01, + 0.000000000000000e+00, -9.383192181375916e-01, 3.457702197611283e-01, + 0.000000000000000e+00, 9.383192181375916e-01, -3.457702197611283e-01, + 0.000000000000000e+00, -9.383192181375916e-01, -3.457702197611283e-01, + 1.590417105383530e-01, 8.360360154824589e-01, 5.251185724436420e-01, + -1.590417105383530e-01, 8.360360154824589e-01, 5.251185724436420e-01, + 1.590417105383530e-01, -8.360360154824589e-01, 5.251185724436420e-01, + -1.590417105383530e-01, -8.360360154824589e-01, 5.251185724436420e-01, + 1.590417105383530e-01, 8.360360154824589e-01, -5.251185724436420e-01, + -1.590417105383530e-01, 8.360360154824589e-01, -5.251185724436420e-01, + 1.590417105383530e-01, -8.360360154824589e-01, -5.251185724436420e-01, + -1.590417105383530e-01, -8.360360154824589e-01, -5.251185724436420e-01, + 1.590417105383530e-01, 5.251185724436420e-01, 8.360360154824589e-01, + -1.590417105383530e-01, 5.251185724436420e-01, 8.360360154824589e-01, + 1.590417105383530e-01, -5.251185724436420e-01, 8.360360154824589e-01, + -1.590417105383530e-01, -5.251185724436420e-01, 8.360360154824589e-01, + 1.590417105383530e-01, 5.251185724436420e-01, -8.360360154824589e-01, + -1.590417105383530e-01, 5.251185724436420e-01, -8.360360154824589e-01, + 1.590417105383530e-01, -5.251185724436420e-01, -8.360360154824589e-01, + -1.590417105383530e-01, -5.251185724436420e-01, -8.360360154824589e-01, + 8.360360154824589e-01, 1.590417105383530e-01, 5.251185724436420e-01, + -8.360360154824589e-01, 1.590417105383530e-01, 5.251185724436420e-01, + 8.360360154824589e-01, -1.590417105383530e-01, 5.251185724436420e-01, + -8.360360154824589e-01, -1.590417105383530e-01, 5.251185724436420e-01, + 8.360360154824589e-01, 1.590417105383530e-01, -5.251185724436420e-01, + -8.360360154824589e-01, 1.590417105383530e-01, -5.251185724436420e-01, + 8.360360154824589e-01, -1.590417105383530e-01, -5.251185724436420e-01, + -8.360360154824589e-01, -1.590417105383530e-01, -5.251185724436420e-01, + 8.360360154824589e-01, 5.251185724436420e-01, 1.590417105383530e-01, + -8.360360154824589e-01, 5.251185724436420e-01, 1.590417105383530e-01, + 8.360360154824589e-01, -5.251185724436420e-01, 1.590417105383530e-01, + -8.360360154824589e-01, -5.251185724436420e-01, 1.590417105383530e-01, + 8.360360154824589e-01, 5.251185724436420e-01, -1.590417105383530e-01, + -8.360360154824589e-01, 5.251185724436420e-01, -1.590417105383530e-01, + 8.360360154824589e-01, -5.251185724436420e-01, -1.590417105383530e-01, + -8.360360154824589e-01, -5.251185724436420e-01, -1.590417105383530e-01, + 5.251185724436420e-01, 1.590417105383530e-01, 8.360360154824589e-01, + -5.251185724436420e-01, 1.590417105383530e-01, 8.360360154824589e-01, + 5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, + -5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, + 5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, + -5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, + 5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, + -5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, + 5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, + -5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, + 5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, + -5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, + 5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, + -5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, + 5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01, + -5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01}; - static constexpr std::array,194> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 6.712973442695226e-01, 6.712973442695226e-01, 3.141969941825863e-01, - -6.712973442695226e-01, 6.712973442695226e-01, 3.141969941825863e-01, - 6.712973442695226e-01, -6.712973442695226e-01, 3.141969941825863e-01, - -6.712973442695226e-01, -6.712973442695226e-01, 3.141969941825863e-01, - 6.712973442695226e-01, 6.712973442695226e-01, -3.141969941825863e-01, - -6.712973442695226e-01, 6.712973442695226e-01, -3.141969941825863e-01, - 6.712973442695226e-01, -6.712973442695226e-01, -3.141969941825863e-01, - -6.712973442695226e-01, -6.712973442695226e-01, -3.141969941825863e-01, - 6.712973442695226e-01, 3.141969941825863e-01, 6.712973442695226e-01, - -6.712973442695226e-01, 3.141969941825863e-01, 6.712973442695226e-01, - 6.712973442695226e-01, -3.141969941825863e-01, 6.712973442695226e-01, - -6.712973442695226e-01, -3.141969941825863e-01, 6.712973442695226e-01, - 6.712973442695226e-01, 3.141969941825863e-01, -6.712973442695226e-01, - -6.712973442695226e-01, 3.141969941825863e-01, -6.712973442695226e-01, - 6.712973442695226e-01, -3.141969941825863e-01, -6.712973442695226e-01, - -6.712973442695226e-01, -3.141969941825863e-01, -6.712973442695226e-01, - 3.141969941825863e-01, 6.712973442695226e-01, 6.712973442695226e-01, - -3.141969941825863e-01, 6.712973442695226e-01, 6.712973442695226e-01, - 3.141969941825863e-01, -6.712973442695226e-01, 6.712973442695226e-01, - -3.141969941825863e-01, -6.712973442695226e-01, 6.712973442695226e-01, - 3.141969941825863e-01, 6.712973442695226e-01, -6.712973442695226e-01, - -3.141969941825863e-01, 6.712973442695226e-01, -6.712973442695226e-01, - 3.141969941825863e-01, -6.712973442695226e-01, -6.712973442695226e-01, - -3.141969941825863e-01, -6.712973442695226e-01, -6.712973442695226e-01, - 2.892465627575439e-01, 2.892465627575439e-01, 9.125090968674737e-01, - -2.892465627575439e-01, 2.892465627575439e-01, 9.125090968674737e-01, - 2.892465627575439e-01, -2.892465627575439e-01, 9.125090968674737e-01, - -2.892465627575439e-01, -2.892465627575439e-01, 9.125090968674737e-01, - 2.892465627575439e-01, 2.892465627575439e-01, -9.125090968674737e-01, - -2.892465627575439e-01, 2.892465627575439e-01, -9.125090968674737e-01, - 2.892465627575439e-01, -2.892465627575439e-01, -9.125090968674737e-01, - -2.892465627575439e-01, -2.892465627575439e-01, -9.125090968674737e-01, - 2.892465627575439e-01, 9.125090968674737e-01, 2.892465627575439e-01, - -2.892465627575439e-01, 9.125090968674737e-01, 2.892465627575439e-01, - 2.892465627575439e-01, -9.125090968674737e-01, 2.892465627575439e-01, - -2.892465627575439e-01, -9.125090968674737e-01, 2.892465627575439e-01, - 2.892465627575439e-01, 9.125090968674737e-01, -2.892465627575439e-01, - -2.892465627575439e-01, 9.125090968674737e-01, -2.892465627575439e-01, - 2.892465627575439e-01, -9.125090968674737e-01, -2.892465627575439e-01, - -2.892465627575439e-01, -9.125090968674737e-01, -2.892465627575439e-01, - 9.125090968674737e-01, 2.892465627575439e-01, 2.892465627575439e-01, - -9.125090968674737e-01, 2.892465627575439e-01, 2.892465627575439e-01, - 9.125090968674737e-01, -2.892465627575439e-01, 2.892465627575439e-01, - -9.125090968674737e-01, -2.892465627575439e-01, 2.892465627575439e-01, - 9.125090968674737e-01, 2.892465627575439e-01, -2.892465627575439e-01, - -9.125090968674737e-01, 2.892465627575439e-01, -2.892465627575439e-01, - 9.125090968674737e-01, -2.892465627575439e-01, -2.892465627575439e-01, - -9.125090968674737e-01, -2.892465627575439e-01, -2.892465627575439e-01, - 4.446933178717437e-01, 4.446933178717437e-01, 7.774932193147671e-01, - -4.446933178717437e-01, 4.446933178717437e-01, 7.774932193147671e-01, - 4.446933178717437e-01, -4.446933178717437e-01, 7.774932193147671e-01, - -4.446933178717437e-01, -4.446933178717437e-01, 7.774932193147671e-01, - 4.446933178717437e-01, 4.446933178717437e-01, -7.774932193147671e-01, - -4.446933178717437e-01, 4.446933178717437e-01, -7.774932193147671e-01, - 4.446933178717437e-01, -4.446933178717437e-01, -7.774932193147671e-01, - -4.446933178717437e-01, -4.446933178717437e-01, -7.774932193147671e-01, - 4.446933178717437e-01, 7.774932193147671e-01, 4.446933178717437e-01, - -4.446933178717437e-01, 7.774932193147671e-01, 4.446933178717437e-01, - 4.446933178717437e-01, -7.774932193147671e-01, 4.446933178717437e-01, - -4.446933178717437e-01, -7.774932193147671e-01, 4.446933178717437e-01, - 4.446933178717437e-01, 7.774932193147671e-01, -4.446933178717437e-01, - -4.446933178717437e-01, 7.774932193147671e-01, -4.446933178717437e-01, - 4.446933178717437e-01, -7.774932193147671e-01, -4.446933178717437e-01, - -4.446933178717437e-01, -7.774932193147671e-01, -4.446933178717437e-01, - 7.774932193147671e-01, 4.446933178717437e-01, 4.446933178717437e-01, - -7.774932193147671e-01, 4.446933178717437e-01, 4.446933178717437e-01, - 7.774932193147671e-01, -4.446933178717437e-01, 4.446933178717437e-01, - -7.774932193147671e-01, -4.446933178717437e-01, 4.446933178717437e-01, - 7.774932193147671e-01, 4.446933178717437e-01, -4.446933178717437e-01, - -7.774932193147671e-01, 4.446933178717437e-01, -4.446933178717437e-01, - 7.774932193147671e-01, -4.446933178717437e-01, -4.446933178717437e-01, - -7.774932193147671e-01, -4.446933178717437e-01, -4.446933178717437e-01, - 1.299335447650067e-01, 1.299335447650067e-01, 9.829723027072532e-01, - -1.299335447650067e-01, 1.299335447650067e-01, 9.829723027072532e-01, - 1.299335447650067e-01, -1.299335447650067e-01, 9.829723027072532e-01, - -1.299335447650067e-01, -1.299335447650067e-01, 9.829723027072532e-01, - 1.299335447650067e-01, 1.299335447650067e-01, -9.829723027072532e-01, - -1.299335447650067e-01, 1.299335447650067e-01, -9.829723027072532e-01, - 1.299335447650067e-01, -1.299335447650067e-01, -9.829723027072532e-01, - -1.299335447650067e-01, -1.299335447650067e-01, -9.829723027072532e-01, - 1.299335447650067e-01, 9.829723027072532e-01, 1.299335447650067e-01, - -1.299335447650067e-01, 9.829723027072532e-01, 1.299335447650067e-01, - 1.299335447650067e-01, -9.829723027072532e-01, 1.299335447650067e-01, - -1.299335447650067e-01, -9.829723027072532e-01, 1.299335447650067e-01, - 1.299335447650067e-01, 9.829723027072532e-01, -1.299335447650067e-01, - -1.299335447650067e-01, 9.829723027072532e-01, -1.299335447650067e-01, - 1.299335447650067e-01, -9.829723027072532e-01, -1.299335447650067e-01, - -1.299335447650067e-01, -9.829723027072532e-01, -1.299335447650067e-01, - 9.829723027072532e-01, 1.299335447650067e-01, 1.299335447650067e-01, - -9.829723027072532e-01, 1.299335447650067e-01, 1.299335447650067e-01, - 9.829723027072532e-01, -1.299335447650067e-01, 1.299335447650067e-01, - -9.829723027072532e-01, -1.299335447650067e-01, 1.299335447650067e-01, - 9.829723027072532e-01, 1.299335447650067e-01, -1.299335447650067e-01, - -9.829723027072532e-01, 1.299335447650067e-01, -1.299335447650067e-01, - 9.829723027072532e-01, -1.299335447650067e-01, -1.299335447650067e-01, - -9.829723027072532e-01, -1.299335447650067e-01, -1.299335447650067e-01, - 3.457702197611283e-01, 9.383192181375916e-01, 0.000000000000000e+00, - -3.457702197611283e-01, 9.383192181375916e-01, 0.000000000000000e+00, - 3.457702197611283e-01, -9.383192181375916e-01, 0.000000000000000e+00, - -3.457702197611283e-01, -9.383192181375916e-01, 0.000000000000000e+00, - 9.383192181375916e-01, 3.457702197611283e-01, 0.000000000000000e+00, - -9.383192181375916e-01, 3.457702197611283e-01, 0.000000000000000e+00, - 9.383192181375916e-01, -3.457702197611283e-01, 0.000000000000000e+00, - -9.383192181375916e-01, -3.457702197611283e-01, 0.000000000000000e+00, - 3.457702197611283e-01, 0.000000000000000e+00, 9.383192181375916e-01, - -3.457702197611283e-01, 0.000000000000000e+00, 9.383192181375916e-01, - 3.457702197611283e-01, 0.000000000000000e+00, -9.383192181375916e-01, - -3.457702197611283e-01, 0.000000000000000e+00, -9.383192181375916e-01, - 9.383192181375916e-01, 0.000000000000000e+00, 3.457702197611283e-01, - -9.383192181375916e-01, 0.000000000000000e+00, 3.457702197611283e-01, - 9.383192181375916e-01, 0.000000000000000e+00, -3.457702197611283e-01, - -9.383192181375916e-01, 0.000000000000000e+00, -3.457702197611283e-01, - 0.000000000000000e+00, 3.457702197611283e-01, 9.383192181375916e-01, - 0.000000000000000e+00, -3.457702197611283e-01, 9.383192181375916e-01, - 0.000000000000000e+00, 3.457702197611283e-01, -9.383192181375916e-01, - 0.000000000000000e+00, -3.457702197611283e-01, -9.383192181375916e-01, - 0.000000000000000e+00, 9.383192181375916e-01, 3.457702197611283e-01, - 0.000000000000000e+00, -9.383192181375916e-01, 3.457702197611283e-01, - 0.000000000000000e+00, 9.383192181375916e-01, -3.457702197611283e-01, - 0.000000000000000e+00, -9.383192181375916e-01, -3.457702197611283e-01, - 1.590417105383530e-01, 8.360360154824589e-01, 5.251185724436420e-01, - -1.590417105383530e-01, 8.360360154824589e-01, 5.251185724436420e-01, - 1.590417105383530e-01, -8.360360154824589e-01, 5.251185724436420e-01, - -1.590417105383530e-01, -8.360360154824589e-01, 5.251185724436420e-01, - 1.590417105383530e-01, 8.360360154824589e-01, -5.251185724436420e-01, - -1.590417105383530e-01, 8.360360154824589e-01, -5.251185724436420e-01, - 1.590417105383530e-01, -8.360360154824589e-01, -5.251185724436420e-01, - -1.590417105383530e-01, -8.360360154824589e-01, -5.251185724436420e-01, - 1.590417105383530e-01, 5.251185724436420e-01, 8.360360154824589e-01, - -1.590417105383530e-01, 5.251185724436420e-01, 8.360360154824589e-01, - 1.590417105383530e-01, -5.251185724436420e-01, 8.360360154824589e-01, - -1.590417105383530e-01, -5.251185724436420e-01, 8.360360154824589e-01, - 1.590417105383530e-01, 5.251185724436420e-01, -8.360360154824589e-01, - -1.590417105383530e-01, 5.251185724436420e-01, -8.360360154824589e-01, - 1.590417105383530e-01, -5.251185724436420e-01, -8.360360154824589e-01, - -1.590417105383530e-01, -5.251185724436420e-01, -8.360360154824589e-01, - 8.360360154824589e-01, 1.590417105383530e-01, 5.251185724436420e-01, - -8.360360154824589e-01, 1.590417105383530e-01, 5.251185724436420e-01, - 8.360360154824589e-01, -1.590417105383530e-01, 5.251185724436420e-01, - -8.360360154824589e-01, -1.590417105383530e-01, 5.251185724436420e-01, - 8.360360154824589e-01, 1.590417105383530e-01, -5.251185724436420e-01, - -8.360360154824589e-01, 1.590417105383530e-01, -5.251185724436420e-01, - 8.360360154824589e-01, -1.590417105383530e-01, -5.251185724436420e-01, - -8.360360154824589e-01, -1.590417105383530e-01, -5.251185724436420e-01, - 8.360360154824589e-01, 5.251185724436420e-01, 1.590417105383530e-01, - -8.360360154824589e-01, 5.251185724436420e-01, 1.590417105383530e-01, - 8.360360154824589e-01, -5.251185724436420e-01, 1.590417105383530e-01, - -8.360360154824589e-01, -5.251185724436420e-01, 1.590417105383530e-01, - 8.360360154824589e-01, 5.251185724436420e-01, -1.590417105383530e-01, - -8.360360154824589e-01, 5.251185724436420e-01, -1.590417105383530e-01, - 8.360360154824589e-01, -5.251185724436420e-01, -1.590417105383530e-01, - -8.360360154824589e-01, -5.251185724436420e-01, -1.590417105383530e-01, - 5.251185724436420e-01, 1.590417105383530e-01, 8.360360154824589e-01, - -5.251185724436420e-01, 1.590417105383530e-01, 8.360360154824589e-01, - 5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, - -5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, - 5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, - -5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, - 5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, - -5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, - 5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, - -5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, - 5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, - -5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, - 5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, - -5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, - 5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01, - -5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01 - }; - - - static constexpr std::array weights = { - 1.782340447244611e-03, - 1.782340447244611e-03, - 1.782340447244611e-03, - 1.782340447244611e-03, - 1.782340447244611e-03, - 1.782340447244611e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.716905949977102e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.573383178848738e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.608704082587997e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.158237711805383e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 5.518771467273614e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 4.106777028169394e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.051846064614808e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03, - 5.530248916233094e-03 - }; -}; + static constexpr std::array weights = { + 1.782340447244611e-03, 1.782340447244611e-03, 1.782340447244611e-03, + 1.782340447244611e-03, 1.782340447244611e-03, 1.782340447244611e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.573383178848738e-03, 5.573383178848738e-03, 5.573383178848738e-03, + 5.573383178848738e-03, 5.573383178848738e-03, 5.573383178848738e-03, + 5.573383178848738e-03, 5.573383178848738e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 4.106777028169394e-03, + 4.106777028169394e-03, 4.106777028169394e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_2030.hpp b/include/integratorxx/deprecated/lebedev/lebedev_2030.hpp index 005a548..aa58d6e 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_2030.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_2030.hpp @@ -3,4077 +3,2720 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 2030 - * + * */ template struct lebedev_2030 { + static constexpr std::array, 2030> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 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5.433312705027845e-04, 5.433312705027845e-04, 5.433312705027845e-04, + 5.433312705027845e-04, 5.433312705027845e-04, 5.433312705027845e-04, + 5.433312705027845e-04, 5.433312705027845e-04, 5.433312705027845e-04, + 5.433312705027845e-04, 5.433312705027845e-04, 5.433312705027845e-04, + 5.433312705027845e-04, 5.433312705027845e-04, 5.433312705027845e-04, + 5.433312705027845e-04, 5.433312705027845e-04, 5.433312705027845e-04, + 5.433312705027845e-04, 5.433312705027845e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_230.hpp b/include/integratorxx/deprecated/lebedev/lebedev_230.hpp index cb5c9c4..22f62d4 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_230.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_230.hpp @@ -3,477 +3,320 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 230 - * + * */ template struct lebedev_230 { + static constexpr std::array, 230> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 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0.000000000000000e+00, + 9.350227458805930e-01, -3.545877390518688e-01, 0.000000000000000e+00, + -9.350227458805930e-01, -3.545877390518688e-01, 0.000000000000000e+00, + 3.545877390518688e-01, 0.000000000000000e+00, 9.350227458805930e-01, + -3.545877390518688e-01, 0.000000000000000e+00, 9.350227458805930e-01, + 3.545877390518688e-01, 0.000000000000000e+00, -9.350227458805930e-01, + -3.545877390518688e-01, 0.000000000000000e+00, -9.350227458805930e-01, + 9.350227458805930e-01, 0.000000000000000e+00, 3.545877390518688e-01, + -9.350227458805930e-01, 0.000000000000000e+00, 3.545877390518688e-01, + 9.350227458805930e-01, 0.000000000000000e+00, -3.545877390518688e-01, + -9.350227458805930e-01, 0.000000000000000e+00, -3.545877390518688e-01, + 0.000000000000000e+00, 3.545877390518688e-01, 9.350227458805930e-01, + 0.000000000000000e+00, -3.545877390518688e-01, 9.350227458805930e-01, + 0.000000000000000e+00, 3.545877390518688e-01, -9.350227458805930e-01, + 0.000000000000000e+00, -3.545877390518688e-01, -9.350227458805930e-01, + 0.000000000000000e+00, 9.350227458805930e-01, 3.545877390518688e-01, + 0.000000000000000e+00, -9.350227458805930e-01, 3.545877390518688e-01, + 0.000000000000000e+00, 9.350227458805930e-01, -3.545877390518688e-01, + 0.000000000000000e+00, -9.350227458805930e-01, -3.545877390518688e-01, + 2.272181808998187e-01, 4.864661535886647e-01, 8.436365210688943e-01, + -2.272181808998187e-01, 4.864661535886647e-01, 8.436365210688943e-01, + 2.272181808998187e-01, -4.864661535886647e-01, 8.436365210688943e-01, + -2.272181808998187e-01, -4.864661535886647e-01, 8.436365210688943e-01, + 2.272181808998187e-01, 4.864661535886647e-01, -8.436365210688943e-01, + -2.272181808998187e-01, 4.864661535886647e-01, -8.436365210688943e-01, + 2.272181808998187e-01, -4.864661535886647e-01, -8.436365210688943e-01, + -2.272181808998187e-01, -4.864661535886647e-01, -8.436365210688943e-01, + 2.272181808998187e-01, 8.436365210688943e-01, 4.864661535886647e-01, + -2.272181808998187e-01, 8.436365210688943e-01, 4.864661535886647e-01, + 2.272181808998187e-01, -8.436365210688943e-01, 4.864661535886647e-01, + -2.272181808998187e-01, -8.436365210688943e-01, 4.864661535886647e-01, + 2.272181808998187e-01, 8.436365210688943e-01, -4.864661535886647e-01, + -2.272181808998187e-01, 8.436365210688943e-01, -4.864661535886647e-01, + 2.272181808998187e-01, -8.436365210688943e-01, -4.864661535886647e-01, + -2.272181808998187e-01, -8.436365210688943e-01, -4.864661535886647e-01, + 4.864661535886647e-01, 2.272181808998187e-01, 8.436365210688943e-01, + -4.864661535886647e-01, 2.272181808998187e-01, 8.436365210688943e-01, + 4.864661535886647e-01, -2.272181808998187e-01, 8.436365210688943e-01, + -4.864661535886647e-01, -2.272181808998187e-01, 8.436365210688943e-01, + 4.864661535886647e-01, 2.272181808998187e-01, -8.436365210688943e-01, + -4.864661535886647e-01, 2.272181808998187e-01, -8.436365210688943e-01, + 4.864661535886647e-01, -2.272181808998187e-01, -8.436365210688943e-01, + -4.864661535886647e-01, -2.272181808998187e-01, -8.436365210688943e-01, + 4.864661535886647e-01, 8.436365210688943e-01, 2.272181808998187e-01, + -4.864661535886647e-01, 8.436365210688943e-01, 2.272181808998187e-01, + 4.864661535886647e-01, -8.436365210688943e-01, 2.272181808998187e-01, + -4.864661535886647e-01, -8.436365210688943e-01, 2.272181808998187e-01, + 4.864661535886647e-01, 8.436365210688943e-01, -2.272181808998187e-01, + -4.864661535886647e-01, 8.436365210688943e-01, -2.272181808998187e-01, + 4.864661535886647e-01, -8.436365210688943e-01, -2.272181808998187e-01, + -4.864661535886647e-01, -8.436365210688943e-01, -2.272181808998187e-01, + 8.436365210688943e-01, 2.272181808998187e-01, 4.864661535886647e-01, + -8.436365210688943e-01, 2.272181808998187e-01, 4.864661535886647e-01, + 8.436365210688943e-01, -2.272181808998187e-01, 4.864661535886647e-01, + -8.436365210688943e-01, -2.272181808998187e-01, 4.864661535886647e-01, + 8.436365210688943e-01, 2.272181808998187e-01, -4.864661535886647e-01, + -8.436365210688943e-01, 2.272181808998187e-01, -4.864661535886647e-01, + 8.436365210688943e-01, -2.272181808998187e-01, -4.864661535886647e-01, + -8.436365210688943e-01, -2.272181808998187e-01, -4.864661535886647e-01, + 8.436365210688943e-01, 4.864661535886647e-01, 2.272181808998187e-01, + -8.436365210688943e-01, 4.864661535886647e-01, 2.272181808998187e-01, + 8.436365210688943e-01, -4.864661535886647e-01, 2.272181808998187e-01, + -8.436365210688943e-01, -4.864661535886647e-01, 2.272181808998187e-01, + 8.436365210688943e-01, 4.864661535886647e-01, -2.272181808998187e-01, + -8.436365210688943e-01, 4.864661535886647e-01, -2.272181808998187e-01, + 8.436365210688943e-01, -4.864661535886647e-01, -2.272181808998187e-01, + -8.436365210688943e-01, -4.864661535886647e-01, -2.272181808998187e-01}; - static constexpr std::array,230> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.492044687397611e-01, 4.492044687397611e-01, 7.722892531483641e-01, - -4.492044687397611e-01, 4.492044687397611e-01, 7.722892531483641e-01, - 4.492044687397611e-01, -4.492044687397611e-01, 7.722892531483641e-01, - -4.492044687397611e-01, -4.492044687397611e-01, 7.722892531483641e-01, - 4.492044687397611e-01, 4.492044687397611e-01, -7.722892531483641e-01, - -4.492044687397611e-01, 4.492044687397611e-01, -7.722892531483641e-01, - 4.492044687397611e-01, -4.492044687397611e-01, -7.722892531483641e-01, - -4.492044687397611e-01, -4.492044687397611e-01, -7.722892531483641e-01, - 4.492044687397611e-01, 7.722892531483641e-01, 4.492044687397611e-01, - -4.492044687397611e-01, 7.722892531483641e-01, 4.492044687397611e-01, - 4.492044687397611e-01, -7.722892531483641e-01, 4.492044687397611e-01, - -4.492044687397611e-01, -7.722892531483641e-01, 4.492044687397611e-01, - 4.492044687397611e-01, 7.722892531483641e-01, -4.492044687397611e-01, - -4.492044687397611e-01, 7.722892531483641e-01, -4.492044687397611e-01, - 4.492044687397611e-01, -7.722892531483641e-01, -4.492044687397611e-01, - -4.492044687397611e-01, -7.722892531483641e-01, -4.492044687397611e-01, - 7.722892531483641e-01, 4.492044687397611e-01, 4.492044687397611e-01, - -7.722892531483641e-01, 4.492044687397611e-01, 4.492044687397611e-01, - 7.722892531483641e-01, -4.492044687397611e-01, 4.492044687397611e-01, - -7.722892531483641e-01, -4.492044687397611e-01, 4.492044687397611e-01, - 7.722892531483641e-01, 4.492044687397611e-01, -4.492044687397611e-01, - -7.722892531483641e-01, 4.492044687397611e-01, -4.492044687397611e-01, - 7.722892531483641e-01, -4.492044687397611e-01, -4.492044687397611e-01, - -7.722892531483641e-01, -4.492044687397611e-01, -4.492044687397611e-01, - 2.520419490210201e-01, 2.520419490210201e-01, 9.343177788458117e-01, - -2.520419490210201e-01, 2.520419490210201e-01, 9.343177788458117e-01, - 2.520419490210201e-01, -2.520419490210201e-01, 9.343177788458117e-01, - -2.520419490210201e-01, -2.520419490210201e-01, 9.343177788458117e-01, - 2.520419490210201e-01, 2.520419490210201e-01, -9.343177788458117e-01, - -2.520419490210201e-01, 2.520419490210201e-01, -9.343177788458117e-01, - 2.520419490210201e-01, -2.520419490210201e-01, -9.343177788458117e-01, - -2.520419490210201e-01, -2.520419490210201e-01, -9.343177788458117e-01, - 2.520419490210201e-01, 9.343177788458117e-01, 2.520419490210201e-01, - -2.520419490210201e-01, 9.343177788458117e-01, 2.520419490210201e-01, - 2.520419490210201e-01, -9.343177788458117e-01, 2.520419490210201e-01, - -2.520419490210201e-01, -9.343177788458117e-01, 2.520419490210201e-01, - 2.520419490210201e-01, 9.343177788458117e-01, -2.520419490210201e-01, - -2.520419490210201e-01, 9.343177788458117e-01, -2.520419490210201e-01, - 2.520419490210201e-01, -9.343177788458117e-01, -2.520419490210201e-01, - -2.520419490210201e-01, -9.343177788458117e-01, -2.520419490210201e-01, - 9.343177788458117e-01, 2.520419490210201e-01, 2.520419490210201e-01, - -9.343177788458117e-01, 2.520419490210201e-01, 2.520419490210201e-01, - 9.343177788458117e-01, -2.520419490210201e-01, 2.520419490210201e-01, - -9.343177788458117e-01, -2.520419490210201e-01, 2.520419490210201e-01, - 9.343177788458117e-01, 2.520419490210201e-01, -2.520419490210201e-01, - -9.343177788458117e-01, 2.520419490210201e-01, -2.520419490210201e-01, - 9.343177788458117e-01, -2.520419490210201e-01, -2.520419490210201e-01, - -9.343177788458117e-01, -2.520419490210201e-01, -2.520419490210201e-01, - 6.981906658447242e-01, 6.981906658447242e-01, 1.583022054634783e-01, - -6.981906658447242e-01, 6.981906658447242e-01, 1.583022054634783e-01, - 6.981906658447242e-01, -6.981906658447242e-01, 1.583022054634783e-01, - -6.981906658447242e-01, -6.981906658447242e-01, 1.583022054634783e-01, - 6.981906658447242e-01, 6.981906658447242e-01, -1.583022054634783e-01, - -6.981906658447242e-01, 6.981906658447242e-01, -1.583022054634783e-01, - 6.981906658447242e-01, -6.981906658447242e-01, -1.583022054634783e-01, - -6.981906658447242e-01, -6.981906658447242e-01, -1.583022054634783e-01, - 6.981906658447242e-01, 1.583022054634783e-01, 6.981906658447242e-01, - -6.981906658447242e-01, 1.583022054634783e-01, 6.981906658447242e-01, - 6.981906658447242e-01, -1.583022054634783e-01, 6.981906658447242e-01, - -6.981906658447242e-01, -1.583022054634783e-01, 6.981906658447242e-01, - 6.981906658447242e-01, 1.583022054634783e-01, -6.981906658447242e-01, - -6.981906658447242e-01, 1.583022054634783e-01, -6.981906658447242e-01, - 6.981906658447242e-01, -1.583022054634783e-01, -6.981906658447242e-01, - -6.981906658447242e-01, -1.583022054634783e-01, -6.981906658447242e-01, - 1.583022054634783e-01, 6.981906658447242e-01, 6.981906658447242e-01, - -1.583022054634783e-01, 6.981906658447242e-01, 6.981906658447242e-01, - 1.583022054634783e-01, -6.981906658447242e-01, 6.981906658447242e-01, - -1.583022054634783e-01, -6.981906658447242e-01, 6.981906658447242e-01, - 1.583022054634783e-01, 6.981906658447242e-01, -6.981906658447242e-01, - -1.583022054634783e-01, 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5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 5.198069864064399e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03 - }; -}; + static constexpr std::array weights = { + -5.522639919727325e-02, -5.522639919727325e-02, -5.522639919727325e-02, + -5.522639919727325e-02, -5.522639919727325e-02, -5.522639919727325e-02, + 4.450274607445226e-03, 4.450274607445226e-03, 4.450274607445226e-03, + 4.450274607445226e-03, 4.450274607445226e-03, 4.450274607445226e-03, + 4.450274607445226e-03, 4.450274607445226e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 3.976408018051883e-03, + 3.976408018051883e-03, 3.976408018051883e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 4.401400650381014e-03, + 4.401400650381014e-03, 4.401400650381014e-03, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 1.724544350544401e-02, + 1.724544350544401e-02, 1.724544350544401e-02, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 4.231083095357343e-03, + 4.231083095357343e-03, 4.231083095357343e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 5.198069864064399e-03, + 5.198069864064399e-03, 5.198069864064399e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_2354.hpp b/include/integratorxx/deprecated/lebedev/lebedev_2354.hpp index dec41b8..6d4772f 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_2354.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_2354.hpp @@ -3,4725 +3,3152 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 2354 - * + * */ template struct lebedev_2354 { + static constexpr std::array, 2354> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.290024646530589e-02, 2.290024646530589e-02, 9.994754411308246e-01, + -2.290024646530589e-02, 2.290024646530589e-02, 9.994754411308246e-01, + 2.290024646530589e-02, -2.290024646530589e-02, 9.994754411308246e-01, + -2.290024646530589e-02, -2.290024646530589e-02, 9.994754411308246e-01, + 2.290024646530589e-02, 2.290024646530589e-02, -9.994754411308246e-01, + -2.290024646530589e-02, 2.290024646530589e-02, -9.994754411308246e-01, + 2.290024646530589e-02, -2.290024646530589e-02, -9.994754411308246e-01, + -2.290024646530589e-02, -2.290024646530589e-02, -9.994754411308246e-01, + 2.290024646530589e-02, 9.994754411308246e-01, 2.290024646530589e-02, + -2.290024646530589e-02, 9.994754411308246e-01, 2.290024646530589e-02, + 2.290024646530589e-02, -9.994754411308246e-01, 2.290024646530589e-02, + -2.290024646530589e-02, -9.994754411308246e-01, 2.290024646530589e-02, + 2.290024646530589e-02, 9.994754411308246e-01, -2.290024646530589e-02, + -2.290024646530589e-02, 9.994754411308246e-01, -2.290024646530589e-02, + 2.290024646530589e-02, -9.994754411308246e-01, -2.290024646530589e-02, + -2.290024646530589e-02, -9.994754411308246e-01, -2.290024646530589e-02, + 9.994754411308246e-01, 2.290024646530589e-02, 2.290024646530589e-02, + -9.994754411308246e-01, 2.290024646530589e-02, 2.290024646530589e-02, + 9.994754411308246e-01, -2.290024646530589e-02, 2.290024646530589e-02, + -9.994754411308246e-01, -2.290024646530589e-02, 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4.589901487275583e-02, -6.594761494500487e-01, -7.503229229740002e-01, + -4.589901487275583e-02, -6.594761494500487e-01, -7.503229229740002e-01, + 4.589901487275583e-02, 7.503229229740002e-01, 6.594761494500487e-01, + -4.589901487275583e-02, 7.503229229740002e-01, 6.594761494500487e-01, + 4.589901487275583e-02, -7.503229229740002e-01, 6.594761494500487e-01, + -4.589901487275583e-02, -7.503229229740002e-01, 6.594761494500487e-01, + 4.589901487275583e-02, 7.503229229740002e-01, -6.594761494500487e-01, + -4.589901487275583e-02, 7.503229229740002e-01, -6.594761494500487e-01, + 4.589901487275583e-02, -7.503229229740002e-01, -6.594761494500487e-01, + -4.589901487275583e-02, -7.503229229740002e-01, -6.594761494500487e-01, + 7.503229229740002e-01, 6.594761494500487e-01, 4.589901487275583e-02, + -7.503229229740002e-01, 6.594761494500487e-01, 4.589901487275583e-02, + 7.503229229740002e-01, -6.594761494500487e-01, 4.589901487275583e-02, + -7.503229229740002e-01, -6.594761494500487e-01, 4.589901487275583e-02, + 7.503229229740002e-01, 6.594761494500487e-01, -4.589901487275583e-02, + -7.503229229740002e-01, 6.594761494500487e-01, -4.589901487275583e-02, + 7.503229229740002e-01, -6.594761494500487e-01, -4.589901487275583e-02, + -7.503229229740002e-01, -6.594761494500487e-01, -4.589901487275583e-02, + 7.503229229740002e-01, 4.589901487275583e-02, 6.594761494500487e-01, + -7.503229229740002e-01, 4.589901487275583e-02, 6.594761494500487e-01, + 7.503229229740002e-01, -4.589901487275583e-02, 6.594761494500487e-01, + -7.503229229740002e-01, -4.589901487275583e-02, 6.594761494500487e-01, + 7.503229229740002e-01, 4.589901487275583e-02, -6.594761494500487e-01, + -7.503229229740002e-01, 4.589901487275583e-02, -6.594761494500487e-01, + 7.503229229740002e-01, -4.589901487275583e-02, -6.594761494500487e-01, + -7.503229229740002e-01, -4.589901487275583e-02, -6.594761494500487e-01}; - static constexpr std::array,2354> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.290024646530589e-02, 2.290024646530589e-02, 9.994754411308246e-01, - -2.290024646530589e-02, 2.290024646530589e-02, 9.994754411308246e-01, - 2.290024646530589e-02, -2.290024646530589e-02, 9.994754411308246e-01, - -2.290024646530589e-02, -2.290024646530589e-02, 9.994754411308246e-01, - 2.290024646530589e-02, 2.290024646530589e-02, -9.994754411308246e-01, - -2.290024646530589e-02, 2.290024646530589e-02, -9.994754411308246e-01, - 2.290024646530589e-02, -2.290024646530589e-02, -9.994754411308246e-01, - -2.290024646530589e-02, -2.290024646530589e-02, -9.994754411308246e-01, - 2.290024646530589e-02, 9.994754411308246e-01, 2.290024646530589e-02, - -2.290024646530589e-02, 9.994754411308246e-01, 2.290024646530589e-02, - 2.290024646530589e-02, -9.994754411308246e-01, 2.290024646530589e-02, - -2.290024646530589e-02, -9.994754411308246e-01, 2.290024646530589e-02, - 2.290024646530589e-02, 9.994754411308246e-01, -2.290024646530589e-02, - -2.290024646530589e-02, 9.994754411308246e-01, -2.290024646530589e-02, - 2.290024646530589e-02, -9.994754411308246e-01, -2.290024646530589e-02, - -2.290024646530589e-02, -9.994754411308246e-01, -2.290024646530589e-02, - 9.994754411308246e-01, 2.290024646530589e-02, 2.290024646530589e-02, - -9.994754411308246e-01, 2.290024646530589e-02, 2.290024646530589e-02, - 9.994754411308246e-01, -2.290024646530589e-02, 2.290024646530589e-02, - -9.994754411308246e-01, -2.290024646530589e-02, 2.290024646530589e-02, - 9.994754411308246e-01, 2.290024646530589e-02, -2.290024646530589e-02, - -9.994754411308246e-01, 2.290024646530589e-02, -2.290024646530589e-02, - 9.994754411308246e-01, -2.290024646530589e-02, -2.290024646530589e-02, - -9.994754411308246e-01, -2.290024646530589e-02, -2.290024646530589e-02, - 5.779086652271284e-02, 5.779086652271284e-02, 9.966546199627572e-01, - -5.779086652271284e-02, 5.779086652271284e-02, 9.966546199627572e-01, - 5.779086652271284e-02, -5.779086652271284e-02, 9.966546199627572e-01, - -5.779086652271284e-02, -5.779086652271284e-02, 9.966546199627572e-01, - 5.779086652271284e-02, 5.779086652271284e-02, -9.966546199627572e-01, - -5.779086652271284e-02, 5.779086652271284e-02, -9.966546199627572e-01, - 5.779086652271284e-02, -5.779086652271284e-02, -9.966546199627572e-01, - -5.779086652271284e-02, -5.779086652271284e-02, -9.966546199627572e-01, - 5.779086652271284e-02, 9.966546199627572e-01, 5.779086652271284e-02, - -5.779086652271284e-02, 9.966546199627572e-01, 5.779086652271284e-02, - 5.779086652271284e-02, -9.966546199627572e-01, 5.779086652271284e-02, - -5.779086652271284e-02, -9.966546199627572e-01, 5.779086652271284e-02, - 5.779086652271284e-02, 9.966546199627572e-01, -5.779086652271284e-02, - -5.779086652271284e-02, 9.966546199627572e-01, -5.779086652271284e-02, - 5.779086652271284e-02, -9.966546199627572e-01, -5.779086652271284e-02, - -5.779086652271284e-02, -9.966546199627572e-01, -5.779086652271284e-02, - 9.966546199627572e-01, 5.779086652271284e-02, 5.779086652271284e-02, - -9.966546199627572e-01, 5.779086652271284e-02, 5.779086652271284e-02, - 9.966546199627572e-01, -5.779086652271284e-02, 5.779086652271284e-02, - -9.966546199627572e-01, -5.779086652271284e-02, 5.779086652271284e-02, - 9.966546199627572e-01, 5.779086652271284e-02, -5.779086652271284e-02, - -9.966546199627572e-01, 5.779086652271284e-02, -5.779086652271284e-02, - 9.966546199627572e-01, -5.779086652271284e-02, -5.779086652271284e-02, - -9.966546199627572e-01, -5.779086652271284e-02, -5.779086652271284e-02, - 9.863103576375984e-02, 9.863103576375984e-02, 9.902241350160760e-01, - -9.863103576375984e-02, 9.863103576375984e-02, 9.902241350160760e-01, - 9.863103576375984e-02, -9.863103576375984e-02, 9.902241350160760e-01, - -9.863103576375984e-02, -9.863103576375984e-02, 9.902241350160760e-01, - 9.863103576375984e-02, 9.863103576375984e-02, -9.902241350160760e-01, - -9.863103576375984e-02, 9.863103576375984e-02, -9.902241350160760e-01, - 9.863103576375984e-02, -9.863103576375984e-02, -9.902241350160760e-01, - -9.863103576375984e-02, -9.863103576375984e-02, -9.902241350160760e-01, - 9.863103576375984e-02, 9.902241350160760e-01, 9.863103576375984e-02, - -9.863103576375984e-02, 9.902241350160760e-01, 9.863103576375984e-02, - 9.863103576375984e-02, -9.902241350160760e-01, 9.863103576375984e-02, - -9.863103576375984e-02, -9.902241350160760e-01, 9.863103576375984e-02, - 9.863103576375984e-02, 9.902241350160760e-01, -9.863103576375984e-02, - -9.863103576375984e-02, 9.902241350160760e-01, -9.863103576375984e-02, - 9.863103576375984e-02, -9.902241350160760e-01, -9.863103576375984e-02, - -9.863103576375984e-02, -9.902241350160760e-01, -9.863103576375984e-02, - 9.902241350160760e-01, 9.863103576375984e-02, 9.863103576375984e-02, - -9.902241350160760e-01, 9.863103576375984e-02, 9.863103576375984e-02, - 9.902241350160760e-01, -9.863103576375984e-02, 9.863103576375984e-02, - -9.902241350160760e-01, -9.863103576375984e-02, 9.863103576375984e-02, - 9.902241350160760e-01, 9.863103576375984e-02, -9.863103576375984e-02, - -9.902241350160760e-01, 9.863103576375984e-02, -9.863103576375984e-02, - 9.902241350160760e-01, -9.863103576375984e-02, -9.863103576375984e-02, - -9.902241350160760e-01, -9.863103576375984e-02, -9.863103576375984e-02, - 1.428155792982185e-01, 1.428155792982185e-01, 9.793913521261195e-01, - -1.428155792982185e-01, 1.428155792982185e-01, 9.793913521261195e-01, - 1.428155792982185e-01, -1.428155792982185e-01, 9.793913521261195e-01, - -1.428155792982185e-01, -1.428155792982185e-01, 9.793913521261195e-01, - 1.428155792982185e-01, 1.428155792982185e-01, -9.793913521261195e-01, - -1.428155792982185e-01, 1.428155792982185e-01, -9.793913521261195e-01, - 1.428155792982185e-01, -1.428155792982185e-01, -9.793913521261195e-01, - -1.428155792982185e-01, -1.428155792982185e-01, -9.793913521261195e-01, - 1.428155792982185e-01, 9.793913521261195e-01, 1.428155792982185e-01, - -1.428155792982185e-01, 9.793913521261195e-01, 1.428155792982185e-01, - 1.428155792982185e-01, -9.793913521261195e-01, 1.428155792982185e-01, - -1.428155792982185e-01, -9.793913521261195e-01, 1.428155792982185e-01, - 1.428155792982185e-01, 9.793913521261195e-01, -1.428155792982185e-01, - -1.428155792982185e-01, 9.793913521261195e-01, -1.428155792982185e-01, - 1.428155792982185e-01, -9.793913521261195e-01, -1.428155792982185e-01, - -1.428155792982185e-01, -9.793913521261195e-01, -1.428155792982185e-01, - 9.793913521261195e-01, 1.428155792982185e-01, 1.428155792982185e-01, - -9.793913521261195e-01, 1.428155792982185e-01, 1.428155792982185e-01, - 9.793913521261195e-01, -1.428155792982185e-01, 1.428155792982185e-01, - -9.793913521261195e-01, -1.428155792982185e-01, 1.428155792982185e-01, - 9.793913521261195e-01, 1.428155792982185e-01, -1.428155792982185e-01, - -9.793913521261195e-01, 1.428155792982185e-01, -1.428155792982185e-01, - 9.793913521261195e-01, -1.428155792982185e-01, -1.428155792982185e-01, - -9.793913521261195e-01, -1.428155792982185e-01, -1.428155792982185e-01, - 1.888978116601463e-01, 1.888978116601463e-01, 9.636572178425354e-01, - -1.888978116601463e-01, 1.888978116601463e-01, 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4.648659016801781e-04, 4.648659016801781e-04, 4.648659016801781e-04, + 4.648659016801781e-04, 4.648659016801781e-04, 4.648659016801781e-04, + 4.648659016801781e-04, 4.648659016801781e-04, 4.648659016801781e-04, + 4.648659016801781e-04, 4.648659016801781e-04, 4.648659016801781e-04, + 4.648659016801781e-04, 4.648659016801781e-04, 4.648659016801781e-04, + 4.648659016801781e-04, 4.648659016801781e-04, 4.648659016801781e-04, + 4.648659016801781e-04, 4.648659016801781e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.675502017157673e-04, + 4.675502017157673e-04, 4.675502017157673e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.598494476455523e-04, + 4.598494476455523e-04, 4.598494476455523e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.654916955152048e-04, + 4.654916955152048e-04, 4.654916955152048e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.684709779505137e-04, + 4.684709779505137e-04, 4.684709779505137e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_26.hpp b/include/integratorxx/deprecated/lebedev/lebedev_26.hpp index 8a65f16..6b92978 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_26.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_26.hpp @@ -3,69 +3,48 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 26 - * + * */ template struct lebedev_26 { + static constexpr std::array, 26> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01}; - static constexpr std::array,26> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01 - }; - - - static constexpr std::array weights = { - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02 - }; -}; + static constexpr std::array weights = { + 4.761904761904762e-02, 4.761904761904762e-02, 4.761904761904762e-02, + 4.761904761904762e-02, 4.761904761904762e-02, 4.761904761904762e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_266.hpp b/include/integratorxx/deprecated/lebedev/lebedev_266.hpp index 3bab314..a455bf0 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_266.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_266.hpp @@ -3,549 +3,368 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 266 - * + * */ template struct lebedev_266 { + static constexpr std::array, 266> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 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8.193433888191203e-01, -2.314790158712601e-01, 5.244939240922365e-01, + -8.193433888191203e-01, -2.314790158712601e-01, 5.244939240922365e-01, + 8.193433888191203e-01, 2.314790158712601e-01, -5.244939240922365e-01, + -8.193433888191203e-01, 2.314790158712601e-01, -5.244939240922365e-01, + 8.193433888191203e-01, -2.314790158712601e-01, -5.244939240922365e-01, + -8.193433888191203e-01, -2.314790158712601e-01, -5.244939240922365e-01, + 8.193433888191203e-01, 5.244939240922365e-01, 2.314790158712601e-01, + -8.193433888191203e-01, 5.244939240922365e-01, 2.314790158712601e-01, + 8.193433888191203e-01, -5.244939240922365e-01, 2.314790158712601e-01, + -8.193433888191203e-01, -5.244939240922365e-01, 2.314790158712601e-01, + 8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, + -8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, + 8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01, + -8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01}; - static constexpr std::array,266> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 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2.314790158712601e-01, - -8.193433888191203e-01, 5.244939240922365e-01, 2.314790158712601e-01, - 8.193433888191203e-01, -5.244939240922365e-01, 2.314790158712601e-01, - -8.193433888191203e-01, -5.244939240922365e-01, 2.314790158712601e-01, - 8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, - -8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, - 8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01, - -8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01 - }; - - - static constexpr std::array weights = { - -1.313769127326952e-03, - -1.313769127326952e-03, - -1.313769127326952e-03, - -1.313769127326952e-03, - -1.313769127326952e-03, - -1.313769127326952e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - -2.522728704859336e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 4.186853881700583e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 5.315167977810885e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.047142377086219e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 4.112482394406990e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 3.595584899758782e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.256131351428158e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.229582700647240e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03 - }; -}; + static constexpr std::array weights = { + -1.313769127326952e-03, -1.313769127326952e-03, -1.313769127326952e-03, + -1.313769127326952e-03, -1.313769127326952e-03, -1.313769127326952e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + 4.186853881700583e-03, 4.186853881700583e-03, 4.186853881700583e-03, + 4.186853881700583e-03, 4.186853881700583e-03, 4.186853881700583e-03, + 4.186853881700583e-03, 4.186853881700583e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 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b/include/integratorxx/deprecated/lebedev/lebedev_2702.hpp @@ -3,5421 +3,3616 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 2702 - * + * */ template struct lebedev_2702 { + static constexpr std::array, 2702> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 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8.551925814238349e-02, + -7.457453610471960e-01, -6.607195418355383e-01, 8.551925814238349e-02, + 7.457453610471960e-01, 6.607195418355383e-01, -8.551925814238349e-02, + -7.457453610471960e-01, 6.607195418355383e-01, -8.551925814238349e-02, + 7.457453610471960e-01, -6.607195418355383e-01, -8.551925814238349e-02, + -7.457453610471960e-01, -6.607195418355383e-01, -8.551925814238349e-02, + 7.457453610471960e-01, 8.551925814238349e-02, 6.607195418355383e-01, + -7.457453610471960e-01, 8.551925814238349e-02, 6.607195418355383e-01, + 7.457453610471960e-01, -8.551925814238349e-02, 6.607195418355383e-01, + -7.457453610471960e-01, -8.551925814238349e-02, 6.607195418355383e-01, + 7.457453610471960e-01, 8.551925814238349e-02, -6.607195418355383e-01, + -7.457453610471960e-01, 8.551925814238349e-02, -6.607195418355383e-01, + 7.457453610471960e-01, -8.551925814238349e-02, -6.607195418355383e-01, + -7.457453610471960e-01, -8.551925814238349e-02, -6.607195418355383e-01}; - static constexpr std::array,2702> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 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9.972389742022946e-01, - -5.250918173022379e-02, -5.250918173022379e-02, 9.972389742022946e-01, - 5.250918173022379e-02, 5.250918173022379e-02, -9.972389742022946e-01, - -5.250918173022379e-02, 5.250918173022379e-02, -9.972389742022946e-01, - 5.250918173022379e-02, -5.250918173022379e-02, -9.972389742022946e-01, - -5.250918173022379e-02, -5.250918173022379e-02, -9.972389742022946e-01, - 5.250918173022379e-02, 9.972389742022946e-01, 5.250918173022379e-02, - -5.250918173022379e-02, 9.972389742022946e-01, 5.250918173022379e-02, - 5.250918173022379e-02, -9.972389742022946e-01, 5.250918173022379e-02, - -5.250918173022379e-02, -9.972389742022946e-01, 5.250918173022379e-02, - 5.250918173022379e-02, 9.972389742022946e-01, -5.250918173022379e-02, - -5.250918173022379e-02, 9.972389742022946e-01, -5.250918173022379e-02, - 5.250918173022379e-02, -9.972389742022946e-01, -5.250918173022379e-02, - -5.250918173022379e-02, -9.972389742022946e-01, -5.250918173022379e-02, - 9.972389742022946e-01, 5.250918173022379e-02, 5.250918173022379e-02, - -9.972389742022946e-01, 5.250918173022379e-02, 5.250918173022379e-02, - 9.972389742022946e-01, -5.250918173022379e-02, 5.250918173022379e-02, - -9.972389742022946e-01, -5.250918173022379e-02, 5.250918173022379e-02, - 9.972389742022946e-01, 5.250918173022379e-02, -5.250918173022379e-02, - -9.972389742022946e-01, 5.250918173022379e-02, -5.250918173022379e-02, - 9.972389742022946e-01, -5.250918173022379e-02, -5.250918173022379e-02, - -9.972389742022946e-01, -5.250918173022379e-02, -5.250918173022379e-02, - 8.993480082038376e-02, 8.993480082038376e-02, 9.918787542854196e-01, - -8.993480082038376e-02, 8.993480082038376e-02, 9.918787542854196e-01, - 8.993480082038376e-02, -8.993480082038376e-02, 9.918787542854196e-01, - -8.993480082038376e-02, -8.993480082038376e-02, 9.918787542854196e-01, - 8.993480082038376e-02, 8.993480082038376e-02, -9.918787542854196e-01, - -8.993480082038376e-02, 8.993480082038376e-02, -9.918787542854196e-01, - 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a/include/integratorxx/deprecated/lebedev/lebedev_302.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_302.hpp @@ -3,621 +3,416 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 302 - * + * */ template struct lebedev_302 { + static constexpr std::array, 302> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 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-4.127724083168531e-01, 1.233548532583327e-01, + -9.024425295330004e-01, -4.127724083168531e-01, 1.233548532583327e-01, + 9.024425295330004e-01, 4.127724083168531e-01, -1.233548532583327e-01, + -9.024425295330004e-01, 4.127724083168531e-01, -1.233548532583327e-01, + 9.024425295330004e-01, -4.127724083168531e-01, -1.233548532583327e-01, + -9.024425295330004e-01, -4.127724083168531e-01, -1.233548532583327e-01}; - static constexpr std::array,302> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.515640345570105e-01, 3.515640345570105e-01, 8.676436245440834e-01, - -3.515640345570105e-01, 3.515640345570105e-01, 8.676436245440834e-01, - 3.515640345570105e-01, -3.515640345570105e-01, 8.676436245440834e-01, - -3.515640345570105e-01, -3.515640345570105e-01, 8.676436245440834e-01, - 3.515640345570105e-01, 3.515640345570105e-01, -8.676436245440834e-01, - -3.515640345570105e-01, 3.515640345570105e-01, -8.676436245440834e-01, - 3.515640345570105e-01, -3.515640345570105e-01, -8.676436245440834e-01, - -3.515640345570105e-01, -3.515640345570105e-01, -8.676436245440834e-01, - 3.515640345570105e-01, 8.676436245440834e-01, 3.515640345570105e-01, - -3.515640345570105e-01, 8.676436245440834e-01, 3.515640345570105e-01, - 3.515640345570105e-01, -8.676436245440834e-01, 3.515640345570105e-01, - -3.515640345570105e-01, -8.676436245440834e-01, 3.515640345570105e-01, - 3.515640345570105e-01, 8.676436245440834e-01, -3.515640345570105e-01, - -3.515640345570105e-01, 8.676436245440834e-01, -3.515640345570105e-01, - 3.515640345570105e-01, -8.676436245440834e-01, -3.515640345570105e-01, - -3.515640345570105e-01, -8.676436245440834e-01, -3.515640345570105e-01, - 8.676436245440834e-01, 3.515640345570105e-01, 3.515640345570105e-01, - -8.676436245440834e-01, 3.515640345570105e-01, 3.515640345570105e-01, - 8.676436245440834e-01, -3.515640345570105e-01, 3.515640345570105e-01, - -8.676436245440834e-01, -3.515640345570105e-01, 3.515640345570105e-01, - 8.676436245440834e-01, 3.515640345570105e-01, -3.515640345570105e-01, - -8.676436245440834e-01, 3.515640345570105e-01, -3.515640345570105e-01, - 8.676436245440834e-01, -3.515640345570105e-01, -3.515640345570105e-01, - -8.676436245440834e-01, -3.515640345570105e-01, -3.515640345570105e-01, - 6.566329410219612e-01, 6.566329410219612e-01, 3.710341783848209e-01, - -6.566329410219612e-01, 6.566329410219612e-01, 3.710341783848209e-01, - 6.566329410219612e-01, -6.566329410219612e-01, 3.710341783848209e-01, - -6.566329410219612e-01, -6.566329410219612e-01, 3.710341783848209e-01, - 6.566329410219612e-01, 6.566329410219612e-01, -3.710341783848209e-01, - -6.566329410219612e-01, 6.566329410219612e-01, -3.710341783848209e-01, - 6.566329410219612e-01, -6.566329410219612e-01, -3.710341783848209e-01, - -6.566329410219612e-01, -6.566329410219612e-01, -3.710341783848209e-01, - 6.566329410219612e-01, 3.710341783848209e-01, 6.566329410219612e-01, - -6.566329410219612e-01, 3.710341783848209e-01, 6.566329410219612e-01, - 6.566329410219612e-01, -3.710341783848209e-01, 6.566329410219612e-01, - -6.566329410219612e-01, -3.710341783848209e-01, 6.566329410219612e-01, - 6.566329410219612e-01, 3.710341783848209e-01, -6.566329410219612e-01, - -6.566329410219612e-01, 3.710341783848209e-01, -6.566329410219612e-01, - 6.566329410219612e-01, -3.710341783848209e-01, -6.566329410219612e-01, - -6.566329410219612e-01, -3.710341783848209e-01, -6.566329410219612e-01, - 3.710341783848209e-01, 6.566329410219612e-01, 6.566329410219612e-01, - -3.710341783848209e-01, 6.566329410219612e-01, 6.566329410219612e-01, - 3.710341783848209e-01, -6.566329410219612e-01, 6.566329410219612e-01, - -3.710341783848209e-01, -6.566329410219612e-01, 6.566329410219612e-01, - 3.710341783848209e-01, 6.566329410219612e-01, -6.566329410219612e-01, - -3.710341783848209e-01, 6.566329410219612e-01, -6.566329410219612e-01, - 3.710341783848209e-01, -6.566329410219612e-01, -6.566329410219612e-01, - -3.710341783848209e-01, -6.566329410219612e-01, -6.566329410219612e-01, - 4.729054132581005e-01, 4.729054132581005e-01, 7.434520429875557e-01, - -4.729054132581005e-01, 4.729054132581005e-01, 7.434520429875557e-01, - 4.729054132581005e-01, -4.729054132581005e-01, 7.434520429875557e-01, - -4.729054132581005e-01, -4.729054132581005e-01, 7.434520429875557e-01, - 4.729054132581005e-01, 4.729054132581005e-01, -7.434520429875557e-01, - -4.729054132581005e-01, 4.729054132581005e-01, -7.434520429875557e-01, - 4.729054132581005e-01, -4.729054132581005e-01, -7.434520429875557e-01, - -4.729054132581005e-01, -4.729054132581005e-01, -7.434520429875557e-01, - 4.729054132581005e-01, 7.434520429875557e-01, 4.729054132581005e-01, - -4.729054132581005e-01, 7.434520429875557e-01, 4.729054132581005e-01, - 4.729054132581005e-01, -7.434520429875557e-01, 4.729054132581005e-01, - -4.729054132581005e-01, -7.434520429875557e-01, 4.729054132581005e-01, - 4.729054132581005e-01, 7.434520429875557e-01, -4.729054132581005e-01, - -4.729054132581005e-01, 7.434520429875557e-01, -4.729054132581005e-01, - 4.729054132581005e-01, -7.434520429875557e-01, -4.729054132581005e-01, - -4.729054132581005e-01, -7.434520429875557e-01, -4.729054132581005e-01, - 7.434520429875557e-01, 4.729054132581005e-01, 4.729054132581005e-01, - -7.434520429875557e-01, 4.729054132581005e-01, 4.729054132581005e-01, - 7.434520429875557e-01, -4.729054132581005e-01, 4.729054132581005e-01, - -7.434520429875557e-01, -4.729054132581005e-01, 4.729054132581005e-01, - 7.434520429875557e-01, 4.729054132581005e-01, -4.729054132581005e-01, - -7.434520429875557e-01, 4.729054132581005e-01, -4.729054132581005e-01, - 7.434520429875557e-01, -4.729054132581005e-01, -4.729054132581005e-01, - -7.434520429875557e-01, -4.729054132581005e-01, -4.729054132581005e-01, - 9.618308522614784e-02, 9.618308522614784e-02, 9.907056213794081e-01, - -9.618308522614784e-02, 9.618308522614784e-02, 9.907056213794081e-01, - 9.618308522614784e-02, -9.618308522614784e-02, 9.907056213794081e-01, - -9.618308522614784e-02, -9.618308522614784e-02, 9.907056213794081e-01, - 9.618308522614784e-02, 9.618308522614784e-02, -9.907056213794081e-01, - -9.618308522614784e-02, 9.618308522614784e-02, -9.907056213794081e-01, - 9.618308522614784e-02, -9.618308522614784e-02, -9.907056213794081e-01, - -9.618308522614784e-02, -9.618308522614784e-02, -9.907056213794081e-01, - 9.618308522614784e-02, 9.907056213794081e-01, 9.618308522614784e-02, - -9.618308522614784e-02, 9.907056213794081e-01, 9.618308522614784e-02, - 9.618308522614784e-02, -9.907056213794081e-01, 9.618308522614784e-02, - -9.618308522614784e-02, -9.907056213794081e-01, 9.618308522614784e-02, - 9.618308522614784e-02, 9.907056213794081e-01, -9.618308522614784e-02, - -9.618308522614784e-02, 9.907056213794081e-01, -9.618308522614784e-02, - 9.618308522614784e-02, -9.907056213794081e-01, -9.618308522614784e-02, - -9.618308522614784e-02, -9.907056213794081e-01, -9.618308522614784e-02, - 9.907056213794081e-01, 9.618308522614784e-02, 9.618308522614784e-02, - -9.907056213794081e-01, 9.618308522614784e-02, 9.618308522614784e-02, - 9.907056213794081e-01, -9.618308522614784e-02, 9.618308522614784e-02, - -9.907056213794081e-01, -9.618308522614784e-02, 9.618308522614784e-02, - 9.907056213794081e-01, 9.618308522614784e-02, -9.618308522614784e-02, - -9.907056213794081e-01, 9.618308522614784e-02, -9.618308522614784e-02, - 9.907056213794081e-01, -9.618308522614784e-02, -9.618308522614784e-02, - -9.907056213794081e-01, -9.618308522614784e-02, -9.618308522614784e-02, - 2.219645236294178e-01, 2.219645236294178e-01, 9.494543172264431e-01, - -2.219645236294178e-01, 2.219645236294178e-01, 9.494543172264431e-01, - 2.219645236294178e-01, -2.219645236294178e-01, 9.494543172264431e-01, - -2.219645236294178e-01, -2.219645236294178e-01, 9.494543172264431e-01, - 2.219645236294178e-01, 2.219645236294178e-01, -9.494543172264431e-01, - -2.219645236294178e-01, 2.219645236294178e-01, -9.494543172264431e-01, - 2.219645236294178e-01, -2.219645236294178e-01, -9.494543172264431e-01, - -2.219645236294178e-01, -2.219645236294178e-01, -9.494543172264431e-01, - 2.219645236294178e-01, 9.494543172264431e-01, 2.219645236294178e-01, - -2.219645236294178e-01, 9.494543172264431e-01, 2.219645236294178e-01, - 2.219645236294178e-01, -9.494543172264431e-01, 2.219645236294178e-01, - -2.219645236294178e-01, -9.494543172264431e-01, 2.219645236294178e-01, - 2.219645236294178e-01, 9.494543172264431e-01, -2.219645236294178e-01, - -2.219645236294178e-01, 9.494543172264431e-01, -2.219645236294178e-01, - 2.219645236294178e-01, -9.494543172264431e-01, -2.219645236294178e-01, - -2.219645236294178e-01, -9.494543172264431e-01, -2.219645236294178e-01, - 9.494543172264431e-01, 2.219645236294178e-01, 2.219645236294178e-01, - -9.494543172264431e-01, 2.219645236294178e-01, 2.219645236294178e-01, - 9.494543172264431e-01, -2.219645236294178e-01, 2.219645236294178e-01, - -9.494543172264431e-01, -2.219645236294178e-01, 2.219645236294178e-01, - 9.494543172264431e-01, 2.219645236294178e-01, -2.219645236294178e-01, - -9.494543172264431e-01, 2.219645236294178e-01, -2.219645236294178e-01, - 9.494543172264431e-01, -2.219645236294178e-01, -2.219645236294178e-01, - -9.494543172264431e-01, -2.219645236294178e-01, -2.219645236294178e-01, - 7.011766416089545e-01, 7.011766416089545e-01, 1.292386727105144e-01, - -7.011766416089545e-01, 7.011766416089545e-01, 1.292386727105144e-01, - 7.011766416089545e-01, -7.011766416089545e-01, 1.292386727105144e-01, - -7.011766416089545e-01, -7.011766416089545e-01, 1.292386727105144e-01, - 7.011766416089545e-01, 7.011766416089545e-01, -1.292386727105144e-01, - -7.011766416089545e-01, 7.011766416089545e-01, -1.292386727105144e-01, - 7.011766416089545e-01, -7.011766416089545e-01, -1.292386727105144e-01, - -7.011766416089545e-01, -7.011766416089545e-01, -1.292386727105144e-01, - 7.011766416089545e-01, 1.292386727105144e-01, 7.011766416089545e-01, - -7.011766416089545e-01, 1.292386727105144e-01, 7.011766416089545e-01, - 7.011766416089545e-01, -1.292386727105144e-01, 7.011766416089545e-01, - -7.011766416089545e-01, -1.292386727105144e-01, 7.011766416089545e-01, - 7.011766416089545e-01, 1.292386727105144e-01, -7.011766416089545e-01, - -7.011766416089545e-01, 1.292386727105144e-01, -7.011766416089545e-01, - 7.011766416089545e-01, -1.292386727105144e-01, -7.011766416089545e-01, - -7.011766416089545e-01, -1.292386727105144e-01, -7.011766416089545e-01, - 1.292386727105144e-01, 7.011766416089545e-01, 7.011766416089545e-01, - -1.292386727105144e-01, 7.011766416089545e-01, 7.011766416089545e-01, - 1.292386727105144e-01, -7.011766416089545e-01, 7.011766416089545e-01, - -1.292386727105144e-01, -7.011766416089545e-01, 7.011766416089545e-01, - 1.292386727105144e-01, 7.011766416089545e-01, -7.011766416089545e-01, - -1.292386727105144e-01, 7.011766416089545e-01, -7.011766416089545e-01, - 1.292386727105144e-01, -7.011766416089545e-01, -7.011766416089545e-01, - -1.292386727105144e-01, -7.011766416089545e-01, -7.011766416089545e-01, - 2.644152887060663e-01, 9.644089148792060e-01, 0.000000000000000e+00, - -2.644152887060663e-01, 9.644089148792060e-01, 0.000000000000000e+00, - 2.644152887060663e-01, -9.644089148792060e-01, 0.000000000000000e+00, - -2.644152887060663e-01, -9.644089148792060e-01, 0.000000000000000e+00, - 9.644089148792060e-01, 2.644152887060663e-01, 0.000000000000000e+00, - -9.644089148792060e-01, 2.644152887060663e-01, 0.000000000000000e+00, - 9.644089148792060e-01, -2.644152887060663e-01, 0.000000000000000e+00, - -9.644089148792060e-01, -2.644152887060663e-01, 0.000000000000000e+00, - 2.644152887060663e-01, 0.000000000000000e+00, 9.644089148792060e-01, - -2.644152887060663e-01, 0.000000000000000e+00, 9.644089148792060e-01, - 2.644152887060663e-01, 0.000000000000000e+00, -9.644089148792060e-01, - -2.644152887060663e-01, 0.000000000000000e+00, -9.644089148792060e-01, - 9.644089148792060e-01, 0.000000000000000e+00, 2.644152887060663e-01, - -9.644089148792060e-01, 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3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 3.650045807677255e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 2.982344963171804e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.600820932216460e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.571540554273387e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03, - 3.392312205006170e-03 - }; -}; + static constexpr std::array weights = { + 8.545911725128148e-04, 8.545911725128148e-04, 8.545911725128148e-04, + 8.545911725128148e-04, 8.545911725128148e-04, 8.545911725128148e-04, + 3.599119285025571e-03, 3.599119285025571e-03, 3.599119285025571e-03, + 3.599119285025571e-03, 3.599119285025571e-03, 3.599119285025571e-03, + 3.599119285025571e-03, 3.599119285025571e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.449788424305883e-03, + 3.449788424305883e-03, 3.449788424305883e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.604822601419882e-03, + 3.604822601419882e-03, 3.604822601419882e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 3.576729661743367e-03, + 3.576729661743367e-03, 3.576729661743367e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 2.352101413689164e-03, + 2.352101413689164e-03, 2.352101413689164e-03, 3.108953122413675e-03, + 3.108953122413675e-03, 3.108953122413675e-03, 3.108953122413675e-03, + 3.108953122413675e-03, 3.108953122413675e-03, 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2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 2.982344963171804e-03, + 2.982344963171804e-03, 2.982344963171804e-03, 3.600820932216460e-03, + 3.600820932216460e-03, 3.600820932216460e-03, 3.600820932216460e-03, + 3.600820932216460e-03, 3.600820932216460e-03, 3.600820932216460e-03, + 3.600820932216460e-03, 3.600820932216460e-03, 3.600820932216460e-03, + 3.600820932216460e-03, 3.600820932216460e-03, 3.600820932216460e-03, + 3.600820932216460e-03, 3.600820932216460e-03, 3.600820932216460e-03, + 3.600820932216460e-03, 3.600820932216460e-03, 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3.571540554273387e-03, + 3.571540554273387e-03, 3.571540554273387e-03, 3.571540554273387e-03, + 3.571540554273387e-03, 3.571540554273387e-03, 3.571540554273387e-03, + 3.571540554273387e-03, 3.571540554273387e-03, 3.571540554273387e-03, + 3.571540554273387e-03, 3.571540554273387e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03, 3.392312205006170e-03, + 3.392312205006170e-03, 3.392312205006170e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_3074.hpp b/include/integratorxx/deprecated/lebedev/lebedev_3074.hpp index 4eaa78b..54d627f 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_3074.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_3074.hpp @@ -3,6165 +3,4112 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 3074 - * + * */ template struct lebedev_3074 { + static constexpr std::array, 3074> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 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3.595855034661997e-04, 3.595855034661997e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_3470.hpp b/include/integratorxx/deprecated/lebedev/lebedev_3470.hpp index d03d303..b033c67 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_3470.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_3470.hpp @@ -3,6957 +3,4640 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 3470 - * + * */ template struct lebedev_3470 { + static constexpr std::array, 3470> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 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1.476517054388567e-01, -9.779560050237404e-01, - 1.476517054388567e-01, -1.476517054388567e-01, -9.779560050237404e-01, - -1.476517054388567e-01, -1.476517054388567e-01, -9.779560050237404e-01, - 1.476517054388567e-01, 9.779560050237404e-01, 1.476517054388567e-01, - -1.476517054388567e-01, 9.779560050237404e-01, 1.476517054388567e-01, - 1.476517054388567e-01, -9.779560050237404e-01, 1.476517054388567e-01, - -1.476517054388567e-01, -9.779560050237404e-01, 1.476517054388567e-01, - 1.476517054388567e-01, 9.779560050237404e-01, -1.476517054388567e-01, - -1.476517054388567e-01, 9.779560050237404e-01, -1.476517054388567e-01, - 1.476517054388567e-01, -9.779560050237404e-01, -1.476517054388567e-01, - -1.476517054388567e-01, -9.779560050237404e-01, -1.476517054388567e-01, - 9.779560050237404e-01, 1.476517054388567e-01, 1.476517054388567e-01, - -9.779560050237404e-01, 1.476517054388567e-01, 1.476517054388567e-01, - 9.779560050237404e-01, -1.476517054388567e-01, 1.476517054388567e-01, - 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IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_350.hpp b/include/integratorxx/deprecated/lebedev/lebedev_350.hpp index 2b9c8f8..a8dad80 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_350.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_350.hpp @@ -3,717 +3,480 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 350 - * + * */ template struct lebedev_350 { + static constexpr std::array, 350> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 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-9.074658265305127e-01, -1.833434647041659e-01, + -3.780091898744867e-01, -9.074658265305127e-01, -1.833434647041659e-01}; - static constexpr std::array,350> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 7.068965463912316e-01, 7.068965463912316e-01, 2.438330166935553e-02, - -7.068965463912316e-01, 7.068965463912316e-01, 2.438330166935553e-02, - 7.068965463912316e-01, -7.068965463912316e-01, 2.438330166935553e-02, - -7.068965463912316e-01, -7.068965463912316e-01, 2.438330166935553e-02, - 7.068965463912316e-01, 7.068965463912316e-01, -2.438330166935553e-02, - -7.068965463912316e-01, 7.068965463912316e-01, -2.438330166935553e-02, - 7.068965463912316e-01, -7.068965463912316e-01, -2.438330166935553e-02, - -7.068965463912316e-01, -7.068965463912316e-01, -2.438330166935553e-02, - 7.068965463912316e-01, 2.438330166935553e-02, 7.068965463912316e-01, - -7.068965463912316e-01, 2.438330166935553e-02, 7.068965463912316e-01, - 7.068965463912316e-01, -2.438330166935553e-02, 7.068965463912316e-01, - -7.068965463912316e-01, -2.438330166935553e-02, 7.068965463912316e-01, - 7.068965463912316e-01, 2.438330166935553e-02, -7.068965463912316e-01, - -7.068965463912316e-01, 2.438330166935553e-02, -7.068965463912316e-01, - 7.068965463912316e-01, -2.438330166935553e-02, -7.068965463912316e-01, - -7.068965463912316e-01, -2.438330166935553e-02, -7.068965463912316e-01, - 2.438330166935553e-02, 7.068965463912316e-01, 7.068965463912316e-01, - -2.438330166935553e-02, 7.068965463912316e-01, 7.068965463912316e-01, - 2.438330166935553e-02, -7.068965463912316e-01, 7.068965463912316e-01, - -2.438330166935553e-02, -7.068965463912316e-01, 7.068965463912316e-01, - 2.438330166935553e-02, 7.068965463912316e-01, -7.068965463912316e-01, - -2.438330166935553e-02, 7.068965463912316e-01, -7.068965463912316e-01, - 2.438330166935553e-02, -7.068965463912316e-01, -7.068965463912316e-01, - -2.438330166935553e-02, -7.068965463912316e-01, -7.068965463912316e-01, - 4.794682625712025e-01, 4.794682625712025e-01, 7.349968505877456e-01, - -4.794682625712025e-01, 4.794682625712025e-01, 7.349968505877456e-01, - 4.794682625712025e-01, -4.794682625712025e-01, 7.349968505877456e-01, - -4.794682625712025e-01, -4.794682625712025e-01, 7.349968505877456e-01, - 4.794682625712025e-01, 4.794682625712025e-01, -7.349968505877456e-01, - -4.794682625712025e-01, 4.794682625712025e-01, -7.349968505877456e-01, - 4.794682625712025e-01, -4.794682625712025e-01, -7.349968505877456e-01, - -4.794682625712025e-01, -4.794682625712025e-01, -7.349968505877456e-01, - 4.794682625712025e-01, 7.349968505877456e-01, 4.794682625712025e-01, - -4.794682625712025e-01, 7.349968505877456e-01, 4.794682625712025e-01, - 4.794682625712025e-01, -7.349968505877456e-01, 4.794682625712025e-01, - -4.794682625712025e-01, -7.349968505877456e-01, 4.794682625712025e-01, - 4.794682625712025e-01, 7.349968505877456e-01, -4.794682625712025e-01, - -4.794682625712025e-01, 7.349968505877456e-01, -4.794682625712025e-01, - 4.794682625712025e-01, -7.349968505877456e-01, -4.794682625712025e-01, - -4.794682625712025e-01, -7.349968505877456e-01, -4.794682625712025e-01, - 7.349968505877456e-01, 4.794682625712025e-01, 4.794682625712025e-01, - -7.349968505877456e-01, 4.794682625712025e-01, 4.794682625712025e-01, - 7.349968505877456e-01, -4.794682625712025e-01, 4.794682625712025e-01, - -7.349968505877456e-01, -4.794682625712025e-01, 4.794682625712025e-01, - 7.349968505877456e-01, 4.794682625712025e-01, -4.794682625712025e-01, - -7.349968505877456e-01, 4.794682625712025e-01, -4.794682625712025e-01, - 7.349968505877456e-01, -4.794682625712025e-01, -4.794682625712025e-01, - -7.349968505877456e-01, -4.794682625712025e-01, -4.794682625712025e-01, - 1.927533154878019e-01, 1.927533154878019e-01, 9.621290551360144e-01, - -1.927533154878019e-01, 1.927533154878019e-01, 9.621290551360144e-01, - 1.927533154878019e-01, -1.927533154878019e-01, 9.621290551360144e-01, - -1.927533154878019e-01, -1.927533154878019e-01, 9.621290551360144e-01, - 1.927533154878019e-01, 1.927533154878019e-01, -9.621290551360144e-01, - -1.927533154878019e-01, 1.927533154878019e-01, -9.621290551360144e-01, - 1.927533154878019e-01, -1.927533154878019e-01, -9.621290551360144e-01, - -1.927533154878019e-01, -1.927533154878019e-01, -9.621290551360144e-01, - 1.927533154878019e-01, 9.621290551360144e-01, 1.927533154878019e-01, - -1.927533154878019e-01, 9.621290551360144e-01, 1.927533154878019e-01, - 1.927533154878019e-01, -9.621290551360144e-01, 1.927533154878019e-01, - -1.927533154878019e-01, -9.621290551360144e-01, 1.927533154878019e-01, - 1.927533154878019e-01, 9.621290551360144e-01, -1.927533154878019e-01, - -1.927533154878019e-01, 9.621290551360144e-01, -1.927533154878019e-01, - 1.927533154878019e-01, -9.621290551360144e-01, -1.927533154878019e-01, - -1.927533154878019e-01, -9.621290551360144e-01, -1.927533154878019e-01, - 9.621290551360144e-01, 1.927533154878019e-01, 1.927533154878019e-01, - -9.621290551360144e-01, 1.927533154878019e-01, 1.927533154878019e-01, - 9.621290551360144e-01, -1.927533154878019e-01, 1.927533154878019e-01, - -9.621290551360144e-01, -1.927533154878019e-01, 1.927533154878019e-01, - 9.621290551360144e-01, 1.927533154878019e-01, -1.927533154878019e-01, - -9.621290551360144e-01, 1.927533154878019e-01, -1.927533154878019e-01, - 9.621290551360144e-01, -1.927533154878019e-01, -1.927533154878019e-01, - -9.621290551360144e-01, -1.927533154878019e-01, -1.927533154878019e-01, - 6.930357961327123e-01, 6.930357961327123e-01, 1.985013112233654e-01, - -6.930357961327123e-01, 6.930357961327123e-01, 1.985013112233654e-01, - 6.930357961327123e-01, -6.930357961327123e-01, 1.985013112233654e-01, - -6.930357961327123e-01, -6.930357961327123e-01, 1.985013112233654e-01, - 6.930357961327123e-01, 6.930357961327123e-01, -1.985013112233654e-01, - -6.930357961327123e-01, 6.930357961327123e-01, -1.985013112233654e-01, - 6.930357961327123e-01, -6.930357961327123e-01, -1.985013112233654e-01, - -6.930357961327123e-01, -6.930357961327123e-01, -1.985013112233654e-01, - 6.930357961327123e-01, 1.985013112233654e-01, 6.930357961327123e-01, - -6.930357961327123e-01, 1.985013112233654e-01, 6.930357961327123e-01, - 6.930357961327123e-01, -1.985013112233654e-01, 6.930357961327123e-01, - -6.930357961327123e-01, -1.985013112233654e-01, 6.930357961327123e-01, - 6.930357961327123e-01, 1.985013112233654e-01, -6.930357961327123e-01, - -6.930357961327123e-01, 1.985013112233654e-01, -6.930357961327123e-01, - 6.930357961327123e-01, -1.985013112233654e-01, -6.930357961327123e-01, - -6.930357961327123e-01, -1.985013112233654e-01, -6.930357961327123e-01, - 1.985013112233654e-01, 6.930357961327123e-01, 6.930357961327123e-01, - -1.985013112233654e-01, 6.930357961327123e-01, 6.930357961327123e-01, - 1.985013112233654e-01, -6.930357961327123e-01, 6.930357961327123e-01, - -1.985013112233654e-01, -6.930357961327123e-01, 6.930357961327123e-01, - 1.985013112233654e-01, 6.930357961327123e-01, -6.930357961327123e-01, - -1.985013112233654e-01, 6.930357961327123e-01, -6.930357961327123e-01, - 1.985013112233654e-01, -6.930357961327123e-01, -6.930357961327123e-01, - -1.985013112233654e-01, -6.930357961327123e-01, -6.930357961327123e-01, - 3.608302115520091e-01, 3.608302115520091e-01, 8.600018121275470e-01, - -3.608302115520091e-01, 3.608302115520091e-01, 8.600018121275470e-01, - 3.608302115520091e-01, -3.608302115520091e-01, 8.600018121275470e-01, - -3.608302115520091e-01, -3.608302115520091e-01, 8.600018121275470e-01, - 3.608302115520091e-01, 3.608302115520091e-01, -8.600018121275470e-01, - -3.608302115520091e-01, 3.608302115520091e-01, -8.600018121275470e-01, - 3.608302115520091e-01, -3.608302115520091e-01, -8.600018121275470e-01, - -3.608302115520091e-01, -3.608302115520091e-01, -8.600018121275470e-01, - 3.608302115520091e-01, 8.600018121275470e-01, 3.608302115520091e-01, - -3.608302115520091e-01, 8.600018121275470e-01, 3.608302115520091e-01, - 3.608302115520091e-01, -8.600018121275470e-01, 3.608302115520091e-01, - -3.608302115520091e-01, -8.600018121275470e-01, 3.608302115520091e-01, - 3.608302115520091e-01, 8.600018121275470e-01, -3.608302115520091e-01, - -3.608302115520091e-01, 8.600018121275470e-01, -3.608302115520091e-01, - 3.608302115520091e-01, -8.600018121275470e-01, -3.608302115520091e-01, - -3.608302115520091e-01, -8.600018121275470e-01, -3.608302115520091e-01, - 8.600018121275470e-01, 3.608302115520091e-01, 3.608302115520091e-01, - -8.600018121275470e-01, 3.608302115520091e-01, 3.608302115520091e-01, - 8.600018121275470e-01, -3.608302115520091e-01, 3.608302115520091e-01, - -8.600018121275470e-01, -3.608302115520091e-01, 3.608302115520091e-01, - 8.600018121275470e-01, 3.608302115520091e-01, -3.608302115520091e-01, - -8.600018121275470e-01, 3.608302115520091e-01, -3.608302115520091e-01, - 8.600018121275470e-01, -3.608302115520091e-01, -3.608302115520091e-01, - -8.600018121275470e-01, -3.608302115520091e-01, -3.608302115520091e-01, - 6.498486161496169e-01, 6.498486161496169e-01, 3.941998886058389e-01, - -6.498486161496169e-01, 6.498486161496169e-01, 3.941998886058389e-01, - 6.498486161496169e-01, -6.498486161496169e-01, 3.941998886058389e-01, - -6.498486161496169e-01, -6.498486161496169e-01, 3.941998886058389e-01, - 6.498486161496169e-01, 6.498486161496169e-01, -3.941998886058389e-01, - -6.498486161496169e-01, 6.498486161496169e-01, -3.941998886058389e-01, - 6.498486161496169e-01, -6.498486161496169e-01, -3.941998886058389e-01, - -6.498486161496169e-01, -6.498486161496169e-01, -3.941998886058389e-01, - 6.498486161496169e-01, 3.941998886058389e-01, 6.498486161496169e-01, - -6.498486161496169e-01, 3.941998886058389e-01, 6.498486161496169e-01, - 6.498486161496169e-01, -3.941998886058389e-01, 6.498486161496169e-01, - -6.498486161496169e-01, -3.941998886058389e-01, 6.498486161496169e-01, - 6.498486161496169e-01, 3.941998886058389e-01, -6.498486161496169e-01, - -6.498486161496169e-01, 3.941998886058389e-01, -6.498486161496169e-01, - 6.498486161496169e-01, -3.941998886058389e-01, -6.498486161496169e-01, - -6.498486161496169e-01, -3.941998886058389e-01, -6.498486161496169e-01, - 3.941998886058389e-01, 6.498486161496169e-01, 6.498486161496169e-01, - -3.941998886058389e-01, 6.498486161496169e-01, 6.498486161496169e-01, - 3.941998886058389e-01, -6.498486161496169e-01, 6.498486161496169e-01, - -3.941998886058389e-01, -6.498486161496169e-01, 6.498486161496169e-01, - 3.941998886058389e-01, 6.498486161496169e-01, -6.498486161496169e-01, - -3.941998886058389e-01, 6.498486161496169e-01, -6.498486161496169e-01, - 3.941998886058389e-01, -6.498486161496169e-01, -6.498486161496169e-01, - -3.941998886058389e-01, -6.498486161496169e-01, -6.498486161496169e-01, - 1.932945013230339e-01, 9.811407828432572e-01, 0.000000000000000e+00, - -1.932945013230339e-01, 9.811407828432572e-01, 0.000000000000000e+00, - 1.932945013230339e-01, -9.811407828432572e-01, 0.000000000000000e+00, - -1.932945013230339e-01, -9.811407828432572e-01, 0.000000000000000e+00, - 9.811407828432572e-01, 1.932945013230339e-01, 0.000000000000000e+00, - -9.811407828432572e-01, 1.932945013230339e-01, 0.000000000000000e+00, - 9.811407828432572e-01, -1.932945013230339e-01, 0.000000000000000e+00, - -9.811407828432572e-01, -1.932945013230339e-01, 0.000000000000000e+00, - 1.932945013230339e-01, 0.000000000000000e+00, 9.811407828432572e-01, - -1.932945013230339e-01, 0.000000000000000e+00, 9.811407828432572e-01, - 1.932945013230339e-01, 0.000000000000000e+00, -9.811407828432572e-01, - -1.932945013230339e-01, 0.000000000000000e+00, -9.811407828432572e-01, - 9.811407828432572e-01, 0.000000000000000e+00, 1.932945013230339e-01, - -9.811407828432572e-01, 0.000000000000000e+00, 1.932945013230339e-01, - 9.811407828432572e-01, 0.000000000000000e+00, -1.932945013230339e-01, - -9.811407828432572e-01, 0.000000000000000e+00, -1.932945013230339e-01, - 0.000000000000000e+00, 1.932945013230339e-01, 9.811407828432572e-01, - 0.000000000000000e+00, 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1.833434647041659e-01, -9.074658265305127e-01, - 3.780091898744867e-01, -1.833434647041659e-01, -9.074658265305127e-01, - -3.780091898744867e-01, -1.833434647041659e-01, -9.074658265305127e-01, - 3.780091898744867e-01, 9.074658265305127e-01, 1.833434647041659e-01, - -3.780091898744867e-01, 9.074658265305127e-01, 1.833434647041659e-01, - 3.780091898744867e-01, -9.074658265305127e-01, 1.833434647041659e-01, - -3.780091898744867e-01, -9.074658265305127e-01, 1.833434647041659e-01, - 3.780091898744867e-01, 9.074658265305127e-01, -1.833434647041659e-01, - -3.780091898744867e-01, 9.074658265305127e-01, -1.833434647041659e-01, - 3.780091898744867e-01, -9.074658265305127e-01, -1.833434647041659e-01, - -3.780091898744867e-01, -9.074658265305127e-01, -1.833434647041659e-01 - }; - - - static constexpr std::array weights = { - 3.006796749453936e-03, - 3.006796749453936e-03, - 3.006796749453936e-03, - 3.006796749453936e-03, - 3.006796749453936e-03, - 3.006796749453936e-03, - 3.050627745650771e-03, - 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2.982170644107595e-03, 2.982170644107595e-03, 2.982170644107595e-03, + 2.982170644107595e-03, 2.982170644107595e-03, 2.982170644107595e-03, + 2.982170644107595e-03, 2.982170644107595e-03, 2.982170644107595e-03, + 2.982170644107595e-03, 2.982170644107595e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 2.721564237310992e-03, + 2.721564237310992e-03, 2.721564237310992e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.033513795811141e-03, + 3.033513795811141e-03, 3.033513795811141e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 3.007949555218533e-03, + 3.007949555218533e-03, 3.007949555218533e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.881964603055307e-03, + 2.881964603055307e-03, 2.881964603055307e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_38.hpp b/include/integratorxx/deprecated/lebedev/lebedev_38.hpp index 7dd451a..62350b5 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_38.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_38.hpp @@ -3,93 +3,64 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 38 - * + * */ template struct lebedev_38 { + static constexpr std::array, 38> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, + -4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, + 4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, + -4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, + 8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, + -8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, + 8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, + -8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, + 4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, + -4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, + 4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, + -4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, + 8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, + -8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, + 8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, + -8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, + 0.000000000000000e+00, 4.597008433809831e-01, 8.880738339771153e-01, + 0.000000000000000e+00, -4.597008433809831e-01, 8.880738339771153e-01, + 0.000000000000000e+00, 4.597008433809831e-01, -8.880738339771153e-01, + 0.000000000000000e+00, -4.597008433809831e-01, -8.880738339771153e-01, + 0.000000000000000e+00, 8.880738339771153e-01, 4.597008433809831e-01, + 0.000000000000000e+00, -8.880738339771153e-01, 4.597008433809831e-01, + 0.000000000000000e+00, 8.880738339771153e-01, -4.597008433809831e-01, + 0.000000000000000e+00, -8.880738339771153e-01, -4.597008433809831e-01}; - static constexpr std::array,38> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, - -4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, - 4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, - -4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, - 8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, - -8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, - 8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, - -8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, - 4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, - -4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, - 4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, - -4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, - 8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, - -8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, - 8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, - -8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, - 0.000000000000000e+00, 4.597008433809831e-01, 8.880738339771153e-01, - 0.000000000000000e+00, -4.597008433809831e-01, 8.880738339771153e-01, - 0.000000000000000e+00, 4.597008433809831e-01, -8.880738339771153e-01, - 0.000000000000000e+00, -4.597008433809831e-01, -8.880738339771153e-01, - 0.000000000000000e+00, 8.880738339771153e-01, 4.597008433809831e-01, - 0.000000000000000e+00, -8.880738339771153e-01, 4.597008433809831e-01, - 0.000000000000000e+00, 8.880738339771153e-01, -4.597008433809831e-01, - 0.000000000000000e+00, -8.880738339771153e-01, -4.597008433809831e-01 - }; - - - static constexpr std::array weights = { - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02 - }; -}; + static constexpr std::array weights = { + 9.523809523809525e-03, 9.523809523809525e-03, 9.523809523809525e-03, + 9.523809523809525e-03, 9.523809523809525e-03, 9.523809523809525e-03, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_3890.hpp b/include/integratorxx/deprecated/lebedev/lebedev_3890.hpp index 4485847..0d1babd 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_3890.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_3890.hpp @@ -3,7797 +3,5200 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 3890 - * + * */ template struct lebedev_3890 { + static constexpr std::array, 3890> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 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3.569455268820809e-02, -7.411665902854159e-01, -6.703715271049921e-01, + -3.569455268820809e-02, -7.411665902854159e-01, -6.703715271049921e-01, + 7.411665902854159e-01, 6.703715271049921e-01, 3.569455268820809e-02, + -7.411665902854159e-01, 6.703715271049921e-01, 3.569455268820809e-02, + 7.411665902854159e-01, -6.703715271049921e-01, 3.569455268820809e-02, + -7.411665902854159e-01, -6.703715271049921e-01, 3.569455268820809e-02, + 7.411665902854159e-01, 6.703715271049921e-01, -3.569455268820809e-02, + -7.411665902854159e-01, 6.703715271049921e-01, -3.569455268820809e-02, + 7.411665902854159e-01, -6.703715271049921e-01, -3.569455268820809e-02, + -7.411665902854159e-01, -6.703715271049921e-01, -3.569455268820809e-02, + 7.411665902854159e-01, 3.569455268820809e-02, 6.703715271049921e-01, + -7.411665902854159e-01, 3.569455268820809e-02, 6.703715271049921e-01, + 7.411665902854159e-01, -3.569455268820809e-02, 6.703715271049921e-01, + -7.411665902854159e-01, -3.569455268820809e-02, 6.703715271049921e-01, + 7.411665902854159e-01, 3.569455268820809e-02, -6.703715271049921e-01, + -7.411665902854159e-01, 3.569455268820809e-02, -6.703715271049921e-01, + 7.411665902854159e-01, -3.569455268820809e-02, -6.703715271049921e-01, + -7.411665902854159e-01, -3.569455268820809e-02, -6.703715271049921e-01}; - static constexpr std::array,3890> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, 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-7.025888115257997e-02, -7.025888115257997e-02, 9.950514455234841e-01, - 7.025888115257997e-02, 7.025888115257997e-02, -9.950514455234841e-01, - -7.025888115257997e-02, 7.025888115257997e-02, -9.950514455234841e-01, - 7.025888115257997e-02, -7.025888115257997e-02, -9.950514455234841e-01, - -7.025888115257997e-02, -7.025888115257997e-02, -9.950514455234841e-01, - 7.025888115257997e-02, 9.950514455234841e-01, 7.025888115257997e-02, - -7.025888115257997e-02, 9.950514455234841e-01, 7.025888115257997e-02, - 7.025888115257997e-02, -9.950514455234841e-01, 7.025888115257997e-02, - -7.025888115257997e-02, -9.950514455234841e-01, 7.025888115257997e-02, - 7.025888115257997e-02, 9.950514455234841e-01, -7.025888115257997e-02, - -7.025888115257997e-02, 9.950514455234841e-01, -7.025888115257997e-02, - 7.025888115257997e-02, -9.950514455234841e-01, -7.025888115257997e-02, - -7.025888115257997e-02, -9.950514455234841e-01, -7.025888115257997e-02, - 9.950514455234841e-01, 7.025888115257997e-02, 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LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_4334.hpp b/include/integratorxx/deprecated/lebedev/lebedev_4334.hpp index 43c903f..f1fef6b 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_4334.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_4334.hpp @@ -3,8685 +3,5792 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 4334 - * + * */ template struct lebedev_4334 { + static constexpr std::array, 4334> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 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-7.382832893550715e-01, -6.710994302899275e-01, -6.755249309678028e-02, + 7.382832893550715e-01, 6.755249309678028e-02, 6.710994302899275e-01, + -7.382832893550715e-01, 6.755249309678028e-02, 6.710994302899275e-01, + 7.382832893550715e-01, -6.755249309678028e-02, 6.710994302899275e-01, + -7.382832893550715e-01, -6.755249309678028e-02, 6.710994302899275e-01, + 7.382832893550715e-01, 6.755249309678028e-02, -6.710994302899275e-01, + -7.382832893550715e-01, 6.755249309678028e-02, -6.710994302899275e-01, + 7.382832893550715e-01, -6.755249309678028e-02, -6.710994302899275e-01, + -7.382832893550715e-01, -6.755249309678028e-02, -6.710994302899275e-01}; - static constexpr std::array,4334> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 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2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_434.hpp b/include/integratorxx/deprecated/lebedev/lebedev_434.hpp index 71a7f2e..07fa125 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_434.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_434.hpp @@ -3,885 +3,592 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 434 - * + * */ template struct lebedev_434 { + static constexpr std::array, 434> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 6.909346307509111e-01, 6.909346307509111e-01, 2.126468247075519e-01, + 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9.371809858553722e-01, -3.344363145343455e-01, + 9.921769636429248e-02, -9.371809858553722e-01, -3.344363145343455e-01, + -9.921769636429248e-02, -9.371809858553722e-01, -3.344363145343455e-01, + 9.921769636429248e-02, 3.344363145343455e-01, 9.371809858553722e-01, + -9.921769636429248e-02, 3.344363145343455e-01, 9.371809858553722e-01, + 9.921769636429248e-02, -3.344363145343455e-01, 9.371809858553722e-01, + -9.921769636429248e-02, -3.344363145343455e-01, 9.371809858553722e-01, + 9.921769636429248e-02, 3.344363145343455e-01, -9.371809858553722e-01, + -9.921769636429248e-02, 3.344363145343455e-01, -9.371809858553722e-01, + 9.921769636429248e-02, -3.344363145343455e-01, -9.371809858553722e-01, + -9.921769636429248e-02, -3.344363145343455e-01, -9.371809858553722e-01}; - static constexpr std::array,434> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 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7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 6.909346307509111e-01, 6.909346307509111e-01, 2.126468247075519e-01, - -6.909346307509111e-01, 6.909346307509111e-01, 2.126468247075519e-01, - 6.909346307509111e-01, -6.909346307509111e-01, 2.126468247075519e-01, - -6.909346307509111e-01, -6.909346307509111e-01, 2.126468247075519e-01, - 6.909346307509111e-01, 6.909346307509111e-01, -2.126468247075519e-01, - -6.909346307509111e-01, 6.909346307509111e-01, -2.126468247075519e-01, - 6.909346307509111e-01, -6.909346307509111e-01, -2.126468247075519e-01, - -6.909346307509111e-01, -6.909346307509111e-01, -2.126468247075519e-01, - 6.909346307509111e-01, 2.126468247075519e-01, 6.909346307509111e-01, - -6.909346307509111e-01, 2.126468247075519e-01, 6.909346307509111e-01, - 6.909346307509111e-01, -2.126468247075519e-01, 6.909346307509111e-01, - -6.909346307509111e-01, -2.126468247075519e-01, 6.909346307509111e-01, - 6.909346307509111e-01, 2.126468247075519e-01, -6.909346307509111e-01, - -6.909346307509111e-01, 2.126468247075519e-01, -6.909346307509111e-01, - 6.909346307509111e-01, -2.126468247075519e-01, -6.909346307509111e-01, - -6.909346307509111e-01, -2.126468247075519e-01, -6.909346307509111e-01, - 2.126468247075519e-01, 6.909346307509111e-01, 6.909346307509111e-01, - -2.126468247075519e-01, 6.909346307509111e-01, 6.909346307509111e-01, - 2.126468247075519e-01, -6.909346307509111e-01, 6.909346307509111e-01, - -2.126468247075519e-01, -6.909346307509111e-01, 6.909346307509111e-01, - 2.126468247075519e-01, 6.909346307509111e-01, -6.909346307509111e-01, - -2.126468247075519e-01, 6.909346307509111e-01, -6.909346307509111e-01, - 2.126468247075519e-01, -6.909346307509111e-01, -6.909346307509111e-01, - -2.126468247075519e-01, -6.909346307509111e-01, -6.909346307509111e-01, - 1.774836054609158e-01, 1.774836054609158e-01, 9.679871587914728e-01, - -1.774836054609158e-01, 1.774836054609158e-01, 9.679871587914728e-01, - 1.774836054609158e-01, -1.774836054609158e-01, 9.679871587914728e-01, - -1.774836054609158e-01, -1.774836054609158e-01, 9.679871587914728e-01, - 1.774836054609158e-01, 1.774836054609158e-01, -9.679871587914728e-01, - -1.774836054609158e-01, 1.774836054609158e-01, -9.679871587914728e-01, - 1.774836054609158e-01, -1.774836054609158e-01, -9.679871587914728e-01, - -1.774836054609158e-01, -1.774836054609158e-01, -9.679871587914728e-01, - 1.774836054609158e-01, 9.679871587914728e-01, 1.774836054609158e-01, - -1.774836054609158e-01, 9.679871587914728e-01, 1.774836054609158e-01, - 1.774836054609158e-01, -9.679871587914728e-01, 1.774836054609158e-01, - -1.774836054609158e-01, -9.679871587914728e-01, 1.774836054609158e-01, - 1.774836054609158e-01, 9.679871587914728e-01, -1.774836054609158e-01, - -1.774836054609158e-01, 9.679871587914728e-01, -1.774836054609158e-01, - 1.774836054609158e-01, -9.679871587914728e-01, -1.774836054609158e-01, - -1.774836054609158e-01, -9.679871587914728e-01, -1.774836054609158e-01, - 9.679871587914728e-01, 1.774836054609158e-01, 1.774836054609158e-01, - -9.679871587914728e-01, 1.774836054609158e-01, 1.774836054609158e-01, - 9.679871587914728e-01, -1.774836054609158e-01, 1.774836054609158e-01, - -9.679871587914728e-01, -1.774836054609158e-01, 1.774836054609158e-01, - 9.679871587914728e-01, 1.774836054609158e-01, -1.774836054609158e-01, - -9.679871587914728e-01, 1.774836054609158e-01, -1.774836054609158e-01, - 9.679871587914728e-01, -1.774836054609158e-01, -1.774836054609158e-01, - -9.679871587914728e-01, -1.774836054609158e-01, -1.774836054609158e-01, - 4.914342637784746e-01, 4.914342637784746e-01, 7.190165010408435e-01, - -4.914342637784746e-01, 4.914342637784746e-01, 7.190165010408435e-01, - 4.914342637784746e-01, -4.914342637784746e-01, 7.190165010408435e-01, - -4.914342637784746e-01, -4.914342637784746e-01, 7.190165010408435e-01, - 4.914342637784746e-01, 4.914342637784746e-01, -7.190165010408435e-01, - -4.914342637784746e-01, 4.914342637784746e-01, -7.190165010408435e-01, - 4.914342637784746e-01, -4.914342637784746e-01, -7.190165010408435e-01, - -4.914342637784746e-01, -4.914342637784746e-01, -7.190165010408435e-01, - 4.914342637784746e-01, 7.190165010408435e-01, 4.914342637784746e-01, - -4.914342637784746e-01, 7.190165010408435e-01, 4.914342637784746e-01, - 4.914342637784746e-01, -7.190165010408435e-01, 4.914342637784746e-01, - -4.914342637784746e-01, -7.190165010408435e-01, 4.914342637784746e-01, - 4.914342637784746e-01, 7.190165010408435e-01, -4.914342637784746e-01, - -4.914342637784746e-01, 7.190165010408435e-01, -4.914342637784746e-01, - 4.914342637784746e-01, -7.190165010408435e-01, -4.914342637784746e-01, - -4.914342637784746e-01, -7.190165010408435e-01, -4.914342637784746e-01, - 7.190165010408435e-01, 4.914342637784746e-01, 4.914342637784746e-01, - -7.190165010408435e-01, 4.914342637784746e-01, 4.914342637784746e-01, - 7.190165010408435e-01, -4.914342637784746e-01, 4.914342637784746e-01, - -7.190165010408435e-01, -4.914342637784746e-01, 4.914342637784746e-01, - 7.190165010408435e-01, 4.914342637784746e-01, -4.914342637784746e-01, - -7.190165010408435e-01, 4.914342637784746e-01, -4.914342637784746e-01, - 7.190165010408435e-01, -4.914342637784746e-01, -4.914342637784746e-01, - -7.190165010408435e-01, -4.914342637784746e-01, -4.914342637784746e-01, - 6.456664707424256e-01, 6.456664707424256e-01, 4.077126648977697e-01, - -6.456664707424256e-01, 6.456664707424256e-01, 4.077126648977697e-01, - 6.456664707424256e-01, -6.456664707424256e-01, 4.077126648977697e-01, - -6.456664707424256e-01, -6.456664707424256e-01, 4.077126648977697e-01, - 6.456664707424256e-01, 6.456664707424256e-01, -4.077126648977697e-01, - -6.456664707424256e-01, 6.456664707424256e-01, -4.077126648977697e-01, - 6.456664707424256e-01, -6.456664707424256e-01, -4.077126648977697e-01, - -6.456664707424256e-01, -6.456664707424256e-01, -4.077126648977697e-01, - 6.456664707424256e-01, 4.077126648977697e-01, 6.456664707424256e-01, - -6.456664707424256e-01, 4.077126648977697e-01, 6.456664707424256e-01, - 6.456664707424256e-01, -4.077126648977697e-01, 6.456664707424256e-01, - -6.456664707424256e-01, -4.077126648977697e-01, 6.456664707424256e-01, - 6.456664707424256e-01, 4.077126648977697e-01, -6.456664707424256e-01, - -6.456664707424256e-01, 4.077126648977697e-01, -6.456664707424256e-01, - 6.456664707424256e-01, -4.077126648977697e-01, -6.456664707424256e-01, - -6.456664707424256e-01, -4.077126648977697e-01, -6.456664707424256e-01, - 4.077126648977697e-01, 6.456664707424256e-01, 6.456664707424256e-01, - -4.077126648977697e-01, 6.456664707424256e-01, 6.456664707424256e-01, - 4.077126648977697e-01, -6.456664707424256e-01, 6.456664707424256e-01, - -4.077126648977697e-01, -6.456664707424256e-01, 6.456664707424256e-01, - 4.077126648977697e-01, 6.456664707424256e-01, -6.456664707424256e-01, - -4.077126648977697e-01, 6.456664707424256e-01, -6.456664707424256e-01, - 4.077126648977697e-01, -6.456664707424256e-01, -6.456664707424256e-01, - -4.077126648977697e-01, -6.456664707424256e-01, -6.456664707424256e-01, - 2.861289010307638e-01, 2.861289010307638e-01, 9.144728011208725e-01, - -2.861289010307638e-01, 2.861289010307638e-01, 9.144728011208725e-01, - 2.861289010307638e-01, -2.861289010307638e-01, 9.144728011208725e-01, - -2.861289010307638e-01, -2.861289010307638e-01, 9.144728011208725e-01, - 2.861289010307638e-01, 2.861289010307638e-01, -9.144728011208725e-01, - -2.861289010307638e-01, 2.861289010307638e-01, -9.144728011208725e-01, - 2.861289010307638e-01, -2.861289010307638e-01, -9.144728011208725e-01, - -2.861289010307638e-01, -2.861289010307638e-01, -9.144728011208725e-01, - 2.861289010307638e-01, 9.144728011208725e-01, 2.861289010307638e-01, - -2.861289010307638e-01, 9.144728011208725e-01, 2.861289010307638e-01, - 2.861289010307638e-01, -9.144728011208725e-01, 2.861289010307638e-01, - -2.861289010307638e-01, -9.144728011208725e-01, 2.861289010307638e-01, - 2.861289010307638e-01, 9.144728011208725e-01, -2.861289010307638e-01, - -2.861289010307638e-01, 9.144728011208725e-01, -2.861289010307638e-01, - 2.861289010307638e-01, -9.144728011208725e-01, -2.861289010307638e-01, - -2.861289010307638e-01, -9.144728011208725e-01, -2.861289010307638e-01, - 9.144728011208725e-01, 2.861289010307638e-01, 2.861289010307638e-01, - -9.144728011208725e-01, 2.861289010307638e-01, 2.861289010307638e-01, - 9.144728011208725e-01, -2.861289010307638e-01, 2.861289010307638e-01, - -9.144728011208725e-01, -2.861289010307638e-01, 2.861289010307638e-01, - 9.144728011208725e-01, 2.861289010307638e-01, -2.861289010307638e-01, - -9.144728011208725e-01, 2.861289010307638e-01, -2.861289010307638e-01, - 9.144728011208725e-01, -2.861289010307638e-01, -2.861289010307638e-01, - -9.144728011208725e-01, -2.861289010307638e-01, -2.861289010307638e-01, - 7.568084367178018e-02, 7.568084367178018e-02, 9.942559126312779e-01, - -7.568084367178018e-02, 7.568084367178018e-02, 9.942559126312779e-01, - 7.568084367178018e-02, -7.568084367178018e-02, 9.942559126312779e-01, - -7.568084367178018e-02, -7.568084367178018e-02, 9.942559126312779e-01, - 7.568084367178018e-02, 7.568084367178018e-02, -9.942559126312779e-01, - -7.568084367178018e-02, 7.568084367178018e-02, -9.942559126312779e-01, - 7.568084367178018e-02, -7.568084367178018e-02, -9.942559126312779e-01, - -7.568084367178018e-02, -7.568084367178018e-02, -9.942559126312779e-01, - 7.568084367178018e-02, 9.942559126312779e-01, 7.568084367178018e-02, - -7.568084367178018e-02, 9.942559126312779e-01, 7.568084367178018e-02, - 7.568084367178018e-02, -9.942559126312779e-01, 7.568084367178018e-02, - -7.568084367178018e-02, -9.942559126312779e-01, 7.568084367178018e-02, - 7.568084367178018e-02, 9.942559126312779e-01, -7.568084367178018e-02, - -7.568084367178018e-02, 9.942559126312779e-01, -7.568084367178018e-02, - 7.568084367178018e-02, -9.942559126312779e-01, -7.568084367178018e-02, - -7.568084367178018e-02, -9.942559126312779e-01, -7.568084367178018e-02, - 9.942559126312779e-01, 7.568084367178018e-02, 7.568084367178018e-02, - -9.942559126312779e-01, 7.568084367178018e-02, 7.568084367178018e-02, - 9.942559126312779e-01, -7.568084367178018e-02, 7.568084367178018e-02, - -9.942559126312779e-01, -7.568084367178018e-02, 7.568084367178018e-02, - 9.942559126312779e-01, 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a/include/integratorxx/deprecated/lebedev/lebedev_4802.hpp b/include/integratorxx/deprecated/lebedev/lebedev_4802.hpp index 70868e1..b05cc0f 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_4802.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_4802.hpp @@ -3,9621 +3,6416 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 4802 - * + * */ template struct lebedev_4802 { + static constexpr std::array, 4802> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 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6.741354429572275e-01, -3.211853196273233e-02, + -7.379090760069439e-01, 6.741354429572275e-01, -3.211853196273233e-02, + 7.379090760069439e-01, -6.741354429572275e-01, -3.211853196273233e-02, + -7.379090760069439e-01, -6.741354429572275e-01, -3.211853196273233e-02, + 7.379090760069439e-01, 3.211853196273233e-02, 6.741354429572275e-01, + -7.379090760069439e-01, 3.211853196273233e-02, 6.741354429572275e-01, + 7.379090760069439e-01, -3.211853196273233e-02, 6.741354429572275e-01, + -7.379090760069439e-01, -3.211853196273233e-02, 6.741354429572275e-01, + 7.379090760069439e-01, 3.211853196273233e-02, -6.741354429572275e-01, + -7.379090760069439e-01, 3.211853196273233e-02, -6.741354429572275e-01, + 7.379090760069439e-01, -3.211853196273233e-02, -6.741354429572275e-01, + -7.379090760069439e-01, -3.211853196273233e-02, -6.741354429572275e-01}; - static constexpr std::array,4802> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.335728608887064e-02, 2.335728608887064e-02, 9.994542882859252e-01, - -2.335728608887064e-02, 2.335728608887064e-02, 9.994542882859252e-01, - 2.335728608887064e-02, -2.335728608887064e-02, 9.994542882859252e-01, - -2.335728608887064e-02, -2.335728608887064e-02, 9.994542882859252e-01, - 2.335728608887064e-02, 2.335728608887064e-02, -9.994542882859252e-01, - -2.335728608887064e-02, 2.335728608887064e-02, -9.994542882859252e-01, - 2.335728608887064e-02, -2.335728608887064e-02, -9.994542882859252e-01, - -2.335728608887064e-02, -2.335728608887064e-02, -9.994542882859252e-01, - 2.335728608887064e-02, 9.994542882859252e-01, 2.335728608887064e-02, - -2.335728608887064e-02, 9.994542882859252e-01, 2.335728608887064e-02, - 2.335728608887064e-02, -9.994542882859252e-01, 2.335728608887064e-02, - -2.335728608887064e-02, -9.994542882859252e-01, 2.335728608887064e-02, - 2.335728608887064e-02, 9.994542882859252e-01, -2.335728608887064e-02, - -2.335728608887064e-02, 9.994542882859252e-01, -2.335728608887064e-02, - 2.335728608887064e-02, -9.994542882859252e-01, -2.335728608887064e-02, - -2.335728608887064e-02, -9.994542882859252e-01, -2.335728608887064e-02, - 9.994542882859252e-01, 2.335728608887064e-02, 2.335728608887064e-02, - -9.994542882859252e-01, 2.335728608887064e-02, 2.335728608887064e-02, - 9.994542882859252e-01, -2.335728608887064e-02, 2.335728608887064e-02, - -9.994542882859252e-01, -2.335728608887064e-02, 2.335728608887064e-02, - 9.994542882859252e-01, 2.335728608887064e-02, -2.335728608887064e-02, - -9.994542882859252e-01, 2.335728608887064e-02, -2.335728608887064e-02, - 9.994542882859252e-01, -2.335728608887064e-02, -2.335728608887064e-02, - -9.994542882859252e-01, -2.335728608887064e-02, -2.335728608887064e-02, - 4.352987836550653e-02, 4.352987836550653e-02, 9.981033510508661e-01, - -4.352987836550653e-02, 4.352987836550653e-02, 9.981033510508661e-01, - 4.352987836550653e-02, -4.352987836550653e-02, 9.981033510508661e-01, - -4.352987836550653e-02, -4.352987836550653e-02, 9.981033510508661e-01, - 4.352987836550653e-02, 4.352987836550653e-02, -9.981033510508661e-01, - -4.352987836550653e-02, 4.352987836550653e-02, -9.981033510508661e-01, - 4.352987836550653e-02, -4.352987836550653e-02, -9.981033510508661e-01, - -4.352987836550653e-02, -4.352987836550653e-02, -9.981033510508661e-01, - 4.352987836550653e-02, 9.981033510508661e-01, 4.352987836550653e-02, - -4.352987836550653e-02, 9.981033510508661e-01, 4.352987836550653e-02, - 4.352987836550653e-02, -9.981033510508661e-01, 4.352987836550653e-02, - -4.352987836550653e-02, -9.981033510508661e-01, 4.352987836550653e-02, - 4.352987836550653e-02, 9.981033510508661e-01, -4.352987836550653e-02, - -4.352987836550653e-02, 9.981033510508661e-01, -4.352987836550653e-02, - 4.352987836550653e-02, -9.981033510508661e-01, -4.352987836550653e-02, - -4.352987836550653e-02, -9.981033510508661e-01, -4.352987836550653e-02, - 9.981033510508661e-01, 4.352987836550653e-02, 4.352987836550653e-02, - -9.981033510508661e-01, 4.352987836550653e-02, 4.352987836550653e-02, - 9.981033510508661e-01, -4.352987836550653e-02, 4.352987836550653e-02, - -9.981033510508661e-01, -4.352987836550653e-02, 4.352987836550653e-02, - 9.981033510508661e-01, 4.352987836550653e-02, -4.352987836550653e-02, - -9.981033510508661e-01, 4.352987836550653e-02, -4.352987836550653e-02, - 9.981033510508661e-01, -4.352987836550653e-02, -4.352987836550653e-02, - -9.981033510508661e-01, -4.352987836550653e-02, -4.352987836550653e-02, - 6.439200521088800e-02, 6.439200521088800e-02, 9.958450378095188e-01, - -6.439200521088800e-02, 6.439200521088800e-02, 9.958450378095188e-01, - 6.439200521088800e-02, -6.439200521088800e-02, 9.958450378095188e-01, - -6.439200521088800e-02, -6.439200521088800e-02, 9.958450378095188e-01, - 6.439200521088800e-02, 6.439200521088800e-02, -9.958450378095188e-01, - -6.439200521088800e-02, 6.439200521088800e-02, -9.958450378095188e-01, - 6.439200521088800e-02, -6.439200521088800e-02, -9.958450378095188e-01, - -6.439200521088800e-02, -6.439200521088800e-02, -9.958450378095188e-01, - 6.439200521088800e-02, 9.958450378095188e-01, 6.439200521088800e-02, - -6.439200521088800e-02, 9.958450378095188e-01, 6.439200521088800e-02, - 6.439200521088800e-02, -9.958450378095188e-01, 6.439200521088800e-02, - -6.439200521088800e-02, -9.958450378095188e-01, 6.439200521088800e-02, - 6.439200521088800e-02, 9.958450378095188e-01, -6.439200521088800e-02, - -6.439200521088800e-02, 9.958450378095188e-01, -6.439200521088800e-02, - 6.439200521088800e-02, -9.958450378095188e-01, -6.439200521088800e-02, - -6.439200521088800e-02, -9.958450378095188e-01, -6.439200521088800e-02, - 9.958450378095188e-01, 6.439200521088800e-02, 6.439200521088800e-02, - -9.958450378095188e-01, 6.439200521088800e-02, 6.439200521088800e-02, - 9.958450378095188e-01, -6.439200521088800e-02, 6.439200521088800e-02, - -9.958450378095188e-01, -6.439200521088800e-02, 6.439200521088800e-02, - 9.958450378095188e-01, 6.439200521088800e-02, -6.439200521088800e-02, - -9.958450378095188e-01, 6.439200521088800e-02, -6.439200521088800e-02, - 9.958450378095188e-01, -6.439200521088800e-02, -6.439200521088800e-02, - -9.958450378095188e-01, -6.439200521088800e-02, -6.439200521088800e-02, - 9.003943631993180e-02, 9.003943631993180e-02, 9.918597682204767e-01, - -9.003943631993180e-02, 9.003943631993180e-02, 9.918597682204767e-01, - 9.003943631993180e-02, -9.003943631993180e-02, 9.918597682204767e-01, - -9.003943631993180e-02, -9.003943631993180e-02, 9.918597682204767e-01, - 9.003943631993180e-02, 9.003943631993180e-02, -9.918597682204767e-01, - -9.003943631993180e-02, 9.003943631993180e-02, -9.918597682204767e-01, - 9.003943631993180e-02, -9.003943631993180e-02, -9.918597682204767e-01, - -9.003943631993180e-02, -9.003943631993180e-02, -9.918597682204767e-01, - 9.003943631993180e-02, 9.918597682204767e-01, 9.003943631993180e-02, - -9.003943631993180e-02, 9.918597682204767e-01, 9.003943631993180e-02, - 9.003943631993180e-02, -9.918597682204767e-01, 9.003943631993180e-02, - -9.003943631993180e-02, -9.918597682204767e-01, 9.003943631993180e-02, - 9.003943631993180e-02, 9.918597682204767e-01, -9.003943631993180e-02, - -9.003943631993180e-02, 9.918597682204767e-01, -9.003943631993180e-02, - 9.003943631993180e-02, -9.918597682204767e-01, -9.003943631993180e-02, - -9.003943631993180e-02, -9.918597682204767e-01, -9.003943631993180e-02, - 9.918597682204767e-01, 9.003943631993180e-02, 9.003943631993180e-02, - -9.918597682204767e-01, 9.003943631993180e-02, 9.003943631993180e-02, - 9.918597682204767e-01, -9.003943631993180e-02, 9.003943631993180e-02, - -9.918597682204767e-01, -9.003943631993180e-02, 9.003943631993180e-02, - 9.918597682204767e-01, 9.003943631993180e-02, -9.003943631993180e-02, - -9.918597682204767e-01, 9.003943631993180e-02, -9.003943631993180e-02, - 9.918597682204767e-01, -9.003943631993180e-02, -9.003943631993180e-02, - -9.918597682204767e-01, -9.003943631993180e-02, -9.003943631993180e-02, - 1.196706615548473e-01, 1.196706615548473e-01, 9.855748908764115e-01, - -1.196706615548473e-01, 1.196706615548473e-01, 9.855748908764115e-01, - 1.196706615548473e-01, -1.196706615548473e-01, 9.855748908764115e-01, - -1.196706615548473e-01, -1.196706615548473e-01, 9.855748908764115e-01, - 1.196706615548473e-01, 1.196706615548473e-01, -9.855748908764115e-01, - -1.196706615548473e-01, 1.196706615548473e-01, -9.855748908764115e-01, - 1.196706615548473e-01, -1.196706615548473e-01, -9.855748908764115e-01, - -1.196706615548473e-01, -1.196706615548473e-01, -9.855748908764115e-01, - 1.196706615548473e-01, 9.855748908764115e-01, 1.196706615548473e-01, - -1.196706615548473e-01, 9.855748908764115e-01, 1.196706615548473e-01, - 1.196706615548473e-01, -9.855748908764115e-01, 1.196706615548473e-01, - -1.196706615548473e-01, -9.855748908764115e-01, 1.196706615548473e-01, - 1.196706615548473e-01, 9.855748908764115e-01, -1.196706615548473e-01, - -1.196706615548473e-01, 9.855748908764115e-01, -1.196706615548473e-01, - 1.196706615548473e-01, -9.855748908764115e-01, -1.196706615548473e-01, - -1.196706615548473e-01, -9.855748908764115e-01, -1.196706615548473e-01, - 9.855748908764115e-01, 1.196706615548473e-01, 1.196706615548473e-01, - -9.855748908764115e-01, 1.196706615548473e-01, 1.196706615548473e-01, - 9.855748908764115e-01, -1.196706615548473e-01, 1.196706615548473e-01, - -9.855748908764115e-01, -1.196706615548473e-01, 1.196706615548473e-01, - 9.855748908764115e-01, 1.196706615548473e-01, -1.196706615548473e-01, - -9.855748908764115e-01, 1.196706615548473e-01, -1.196706615548473e-01, - 9.855748908764115e-01, -1.196706615548473e-01, -1.196706615548473e-01, - -9.855748908764115e-01, -1.196706615548473e-01, -1.196706615548473e-01, - 1.511715412838134e-01, 1.511715412838134e-01, 9.768798954895902e-01, - -1.511715412838134e-01, 1.511715412838134e-01, 9.768798954895902e-01, - 1.511715412838134e-01, -1.511715412838134e-01, 9.768798954895902e-01, - -1.511715412838134e-01, -1.511715412838134e-01, 9.768798954895902e-01, - 1.511715412838134e-01, 1.511715412838134e-01, -9.768798954895902e-01, - -1.511715412838134e-01, 1.511715412838134e-01, 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2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.303227649026753e-04, + 2.303227649026753e-04, 2.303227649026753e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04, 2.304831913227114e-04, + 2.304831913227114e-04, 2.304831913227114e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_50.hpp b/include/integratorxx/deprecated/lebedev/lebedev_50.hpp index a5e323c..d1cd181 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_50.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_50.hpp @@ -3,117 +3,80 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 50 - * + * */ template struct lebedev_50 { + static constexpr std::array, 50> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, + -3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, + 3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, + -3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, + 3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, + -3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, + 3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, + -3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, + 3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, + -3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, + 3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, + -3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, + 3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, + -3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, + 3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, + -3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, + 9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, + -9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, + 9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, + -9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, + 9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, + -9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, + 9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01, + -9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01}; - static constexpr std::array,50> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, - -3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, - 3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, - -3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, - 3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, - -3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, - 3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, - -3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, - 3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, - -3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, - 3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, - -3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, - 3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, - -3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, - 3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, - -3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, - 9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, - -9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, - 9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, - -9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, - 9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, - -9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, - 9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01, - -9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01 - }; - - - static constexpr std::array weights = { - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02 - }; -}; + static constexpr std::array weights = { + 1.269841269841270e-02, 1.269841269841270e-02, 1.269841269841270e-02, + 1.269841269841270e-02, 1.269841269841270e-02, 1.269841269841270e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.109375000000000e-02, 2.109375000000000e-02, 2.109375000000000e-02, + 2.109375000000000e-02, 2.109375000000000e-02, 2.109375000000000e-02, + 2.109375000000000e-02, 2.109375000000000e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_5294.hpp b/include/integratorxx/deprecated/lebedev/lebedev_5294.hpp index 63f4184..56675d2 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_5294.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_5294.hpp @@ -3,10605 +3,7072 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 5294 - * + * */ template struct lebedev_5294 { + static constexpr std::array, 5294> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, + -2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, + 2.303261686261450e-02, 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-6.747218676375681e-01, 7.355368922345799e-01, + -6.112185773983089e-02, -6.747218676375681e-01, 7.355368922345799e-01, + 6.112185773983089e-02, 6.747218676375681e-01, -7.355368922345799e-01, + -6.112185773983089e-02, 6.747218676375681e-01, -7.355368922345799e-01, + 6.112185773983089e-02, -6.747218676375681e-01, -7.355368922345799e-01, + -6.112185773983089e-02, -6.747218676375681e-01, -7.355368922345799e-01, + 6.112185773983089e-02, 7.355368922345799e-01, 6.747218676375681e-01, + -6.112185773983089e-02, 7.355368922345799e-01, 6.747218676375681e-01, + 6.112185773983089e-02, -7.355368922345799e-01, 6.747218676375681e-01, + -6.112185773983089e-02, -7.355368922345799e-01, 6.747218676375681e-01, + 6.112185773983089e-02, 7.355368922345799e-01, -6.747218676375681e-01, + -6.112185773983089e-02, 7.355368922345799e-01, -6.747218676375681e-01, + 6.112185773983089e-02, -7.355368922345799e-01, -6.747218676375681e-01, + -6.112185773983089e-02, -7.355368922345799e-01, -6.747218676375681e-01, + 7.355368922345799e-01, 6.747218676375681e-01, 6.112185773983089e-02, + -7.355368922345799e-01, 6.747218676375681e-01, 6.112185773983089e-02, + 7.355368922345799e-01, -6.747218676375681e-01, 6.112185773983089e-02, + -7.355368922345799e-01, -6.747218676375681e-01, 6.112185773983089e-02, + 7.355368922345799e-01, 6.747218676375681e-01, -6.112185773983089e-02, + -7.355368922345799e-01, 6.747218676375681e-01, -6.112185773983089e-02, + 7.355368922345799e-01, -6.747218676375681e-01, -6.112185773983089e-02, + -7.355368922345799e-01, -6.747218676375681e-01, -6.112185773983089e-02, + 7.355368922345799e-01, 6.112185773983089e-02, 6.747218676375681e-01, + -7.355368922345799e-01, 6.112185773983089e-02, 6.747218676375681e-01, + 7.355368922345799e-01, -6.112185773983089e-02, 6.747218676375681e-01, + -7.355368922345799e-01, -6.112185773983089e-02, 6.747218676375681e-01, + 7.355368922345799e-01, 6.112185773983089e-02, -6.747218676375681e-01, + -7.355368922345799e-01, 6.112185773983089e-02, -6.747218676375681e-01, + 7.355368922345799e-01, -6.112185773983089e-02, -6.747218676375681e-01, + -7.355368922345799e-01, -6.112185773983089e-02, -6.747218676375681e-01}; - static constexpr std::array,5294> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, - -2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, - 2.303261686261450e-02, -2.303261686261450e-02, 9.994693577698718e-01, - -2.303261686261450e-02, -2.303261686261450e-02, 9.994693577698718e-01, - 2.303261686261450e-02, 2.303261686261450e-02, -9.994693577698718e-01, - -2.303261686261450e-02, 2.303261686261450e-02, -9.994693577698718e-01, - 2.303261686261450e-02, -2.303261686261450e-02, -9.994693577698718e-01, - -2.303261686261450e-02, -2.303261686261450e-02, -9.994693577698718e-01, - 2.303261686261450e-02, 9.994693577698718e-01, 2.303261686261450e-02, - -2.303261686261450e-02, 9.994693577698718e-01, 2.303261686261450e-02, - 2.303261686261450e-02, -9.994693577698718e-01, 2.303261686261450e-02, - -2.303261686261450e-02, -9.994693577698718e-01, 2.303261686261450e-02, - 2.303261686261450e-02, 9.994693577698718e-01, -2.303261686261450e-02, - -2.303261686261450e-02, 9.994693577698718e-01, -2.303261686261450e-02, - 2.303261686261450e-02, -9.994693577698718e-01, -2.303261686261450e-02, - -2.303261686261450e-02, -9.994693577698718e-01, -2.303261686261450e-02, - 9.994693577698718e-01, 2.303261686261450e-02, 2.303261686261450e-02, - -9.994693577698718e-01, 2.303261686261450e-02, 2.303261686261450e-02, - 9.994693577698718e-01, -2.303261686261450e-02, 2.303261686261450e-02, - -9.994693577698718e-01, -2.303261686261450e-02, 2.303261686261450e-02, - 9.994693577698718e-01, 2.303261686261450e-02, -2.303261686261450e-02, - -9.994693577698718e-01, 2.303261686261450e-02, -2.303261686261450e-02, - 9.994693577698718e-01, -2.303261686261450e-02, -2.303261686261450e-02, - -9.994693577698718e-01, -2.303261686261450e-02, -2.303261686261450e-02, - 3.757208620162394e-02, 3.757208620162394e-02, 9.985873405350758e-01, - -3.757208620162394e-02, 3.757208620162394e-02, 9.985873405350758e-01, - 3.757208620162394e-02, -3.757208620162394e-02, 9.985873405350758e-01, - -3.757208620162394e-02, -3.757208620162394e-02, 9.985873405350758e-01, - 3.757208620162394e-02, 3.757208620162394e-02, -9.985873405350758e-01, - -3.757208620162394e-02, 3.757208620162394e-02, -9.985873405350758e-01, - 3.757208620162394e-02, -3.757208620162394e-02, -9.985873405350758e-01, - -3.757208620162394e-02, -3.757208620162394e-02, -9.985873405350758e-01, - 3.757208620162394e-02, 9.985873405350758e-01, 3.757208620162394e-02, - -3.757208620162394e-02, 9.985873405350758e-01, 3.757208620162394e-02, - 3.757208620162394e-02, -9.985873405350758e-01, 3.757208620162394e-02, - -3.757208620162394e-02, -9.985873405350758e-01, 3.757208620162394e-02, - 3.757208620162394e-02, 9.985873405350758e-01, -3.757208620162394e-02, - -3.757208620162394e-02, 9.985873405350758e-01, -3.757208620162394e-02, - 3.757208620162394e-02, -9.985873405350758e-01, -3.757208620162394e-02, - -3.757208620162394e-02, -9.985873405350758e-01, -3.757208620162394e-02, - 9.985873405350758e-01, 3.757208620162394e-02, 3.757208620162394e-02, - -9.985873405350758e-01, 3.757208620162394e-02, 3.757208620162394e-02, - 9.985873405350758e-01, -3.757208620162394e-02, 3.757208620162394e-02, - -9.985873405350758e-01, -3.757208620162394e-02, 3.757208620162394e-02, - 9.985873405350758e-01, 3.757208620162394e-02, -3.757208620162394e-02, - -9.985873405350758e-01, 3.757208620162394e-02, -3.757208620162394e-02, - 9.985873405350758e-01, -3.757208620162394e-02, -3.757208620162394e-02, - -9.985873405350758e-01, -3.757208620162394e-02, -3.757208620162394e-02, - 5.821912033821852e-02, 5.821912033821852e-02, 9.966047702344636e-01, - -5.821912033821852e-02, 5.821912033821852e-02, 9.966047702344636e-01, - 5.821912033821852e-02, -5.821912033821852e-02, 9.966047702344636e-01, - -5.821912033821852e-02, -5.821912033821852e-02, 9.966047702344636e-01, - 5.821912033821852e-02, 5.821912033821852e-02, -9.966047702344636e-01, - -5.821912033821852e-02, 5.821912033821852e-02, -9.966047702344636e-01, - 5.821912033821852e-02, -5.821912033821852e-02, -9.966047702344636e-01, - -5.821912033821852e-02, -5.821912033821852e-02, -9.966047702344636e-01, - 5.821912033821852e-02, 9.966047702344636e-01, 5.821912033821852e-02, - -5.821912033821852e-02, 9.966047702344636e-01, 5.821912033821852e-02, - 5.821912033821852e-02, -9.966047702344636e-01, 5.821912033821852e-02, - -5.821912033821852e-02, -9.966047702344636e-01, 5.821912033821852e-02, - 5.821912033821852e-02, 9.966047702344636e-01, -5.821912033821852e-02, - -5.821912033821852e-02, 9.966047702344636e-01, -5.821912033821852e-02, - 5.821912033821852e-02, -9.966047702344636e-01, -5.821912033821852e-02, - -5.821912033821852e-02, -9.966047702344636e-01, -5.821912033821852e-02, - 9.966047702344636e-01, 5.821912033821852e-02, 5.821912033821852e-02, - -9.966047702344636e-01, 5.821912033821852e-02, 5.821912033821852e-02, - 9.966047702344636e-01, -5.821912033821852e-02, 5.821912033821852e-02, - -9.966047702344636e-01, -5.821912033821852e-02, 5.821912033821852e-02, - 9.966047702344636e-01, 5.821912033821852e-02, -5.821912033821852e-02, - -9.966047702344636e-01, 5.821912033821852e-02, -5.821912033821852e-02, - 9.966047702344636e-01, -5.821912033821852e-02, -5.821912033821852e-02, - -9.966047702344636e-01, -5.821912033821852e-02, -5.821912033821852e-02, - 8.403127529194872e-02, 8.403127529194872e-02, 9.929136364989745e-01, - -8.403127529194872e-02, 8.403127529194872e-02, 9.929136364989745e-01, - 8.403127529194872e-02, -8.403127529194872e-02, 9.929136364989745e-01, - -8.403127529194872e-02, -8.403127529194872e-02, 9.929136364989745e-01, - 8.403127529194872e-02, 8.403127529194872e-02, -9.929136364989745e-01, - -8.403127529194872e-02, 8.403127529194872e-02, -9.929136364989745e-01, - 8.403127529194872e-02, -8.403127529194872e-02, 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2.090509712889637e-04, 2.090509712889637e-04, + 2.090509712889637e-04, 2.090509712889637e-04}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_5810.hpp b/include/integratorxx/deprecated/lebedev/lebedev_5810.hpp index 13ae1a2..d366d94 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_5810.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_5810.hpp @@ -3,11637 +3,7760 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 5810 - * + * */ template struct lebedev_5810 { + static constexpr std::array, 5810> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 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-7.352068860113937e-01, + 2.919946135808105e-02, 7.352068860113937e-01, 6.772135750395347e-01, + -2.919946135808105e-02, 7.352068860113937e-01, 6.772135750395347e-01, + 2.919946135808105e-02, -7.352068860113937e-01, 6.772135750395347e-01, + -2.919946135808105e-02, -7.352068860113937e-01, 6.772135750395347e-01, + 2.919946135808105e-02, 7.352068860113937e-01, -6.772135750395347e-01, + -2.919946135808105e-02, 7.352068860113937e-01, -6.772135750395347e-01, + 2.919946135808105e-02, -7.352068860113937e-01, -6.772135750395347e-01, + -2.919946135808105e-02, -7.352068860113937e-01, -6.772135750395347e-01, + 7.352068860113937e-01, 6.772135750395347e-01, 2.919946135808105e-02, + -7.352068860113937e-01, 6.772135750395347e-01, 2.919946135808105e-02, + 7.352068860113937e-01, -6.772135750395347e-01, 2.919946135808105e-02, + -7.352068860113937e-01, -6.772135750395347e-01, 2.919946135808105e-02, + 7.352068860113937e-01, 6.772135750395347e-01, -2.919946135808105e-02, + -7.352068860113937e-01, 6.772135750395347e-01, -2.919946135808105e-02, + 7.352068860113937e-01, -6.772135750395347e-01, -2.919946135808105e-02, + -7.352068860113937e-01, -6.772135750395347e-01, -2.919946135808105e-02, + 7.352068860113937e-01, 2.919946135808105e-02, 6.772135750395347e-01, + -7.352068860113937e-01, 2.919946135808105e-02, 6.772135750395347e-01, + 7.352068860113937e-01, -2.919946135808105e-02, 6.772135750395347e-01, + -7.352068860113937e-01, -2.919946135808105e-02, 6.772135750395347e-01, + 7.352068860113937e-01, 2.919946135808105e-02, -6.772135750395347e-01, + -7.352068860113937e-01, 2.919946135808105e-02, -6.772135750395347e-01, + 7.352068860113937e-01, -2.919946135808105e-02, -6.772135750395347e-01, + -7.352068860113937e-01, -2.919946135808105e-02, -6.772135750395347e-01}; - static constexpr std::array,5810> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 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-3.062145009138958e-02, -3.062145009138958e-02, -9.990618867660807e-01, - 3.062145009138958e-02, 9.990618867660807e-01, 3.062145009138958e-02, - -3.062145009138958e-02, 9.990618867660807e-01, 3.062145009138958e-02, - 3.062145009138958e-02, -9.990618867660807e-01, 3.062145009138958e-02, - -3.062145009138958e-02, -9.990618867660807e-01, 3.062145009138958e-02, - 3.062145009138958e-02, 9.990618867660807e-01, -3.062145009138958e-02, - -3.062145009138958e-02, 9.990618867660807e-01, -3.062145009138958e-02, - 3.062145009138958e-02, -9.990618867660807e-01, -3.062145009138958e-02, - -3.062145009138958e-02, -9.990618867660807e-01, -3.062145009138958e-02, - 9.990618867660807e-01, 3.062145009138958e-02, 3.062145009138958e-02, - -9.990618867660807e-01, 3.062145009138958e-02, 3.062145009138958e-02, - 9.990618867660807e-01, -3.062145009138958e-02, 3.062145009138958e-02, - -9.990618867660807e-01, -3.062145009138958e-02, 3.062145009138958e-02, - 9.990618867660807e-01, 3.062145009138958e-02, 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-3,1197 +3,800 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 590 - * + * */ template struct lebedev_590 { + static constexpr std::array, 590> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 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1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.849830560443660e-03, + 1.849830560443660e-03, 1.849830560443660e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.713904507106709e-03, + 1.713904507106709e-03, 1.713904507106709e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.555213603396808e-03, + 1.555213603396808e-03, 1.555213603396808e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_6.hpp b/include/integratorxx/deprecated/lebedev/lebedev_6.hpp index 2aecb45..197258f 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_6.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_6.hpp @@ -3,29 +3,21 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 6 - * + * */ template struct lebedev_6 { + static constexpr std::array, 6> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00}; - static constexpr std::array,6> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00 - }; - - - static constexpr std::array weights = { - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01 - }; -}; + static constexpr std::array weights = { + 1.666666666666667e-01, 1.666666666666667e-01, 1.666666666666667e-01, + 1.666666666666667e-01, 1.666666666666667e-01, 1.666666666666667e-01}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_74.hpp b/include/integratorxx/deprecated/lebedev/lebedev_74.hpp index 05af28e..bda6964 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_74.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_74.hpp @@ -3,165 +3,112 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 74 - * + * */ template struct lebedev_74 { + static constexpr std::array, 74> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, + -4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, + 4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, + -4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, + 4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, + -4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, + 4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, + -4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, + 4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, + -4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, + 4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, + -4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, + 4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, + -4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, + 4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, + -4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, + 7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, + -7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, + 7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, + -7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, + 7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, + -7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, + 7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, + -7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, + 3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, + -3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, + 3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, + -3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, + 9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, + -9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, + 9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, + -9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, + 3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, + -3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, + 3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, + -3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, + 9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, + -9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, + 9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, + -9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, + 0.000000000000000e+00, 3.207726489807764e-01, 9.471562213625879e-01, + 0.000000000000000e+00, -3.207726489807764e-01, 9.471562213625879e-01, + 0.000000000000000e+00, 3.207726489807764e-01, -9.471562213625879e-01, + 0.000000000000000e+00, -3.207726489807764e-01, -9.471562213625879e-01, + 0.000000000000000e+00, 9.471562213625879e-01, 3.207726489807764e-01, + 0.000000000000000e+00, -9.471562213625879e-01, 3.207726489807764e-01, + 0.000000000000000e+00, 9.471562213625879e-01, -3.207726489807764e-01, + 0.000000000000000e+00, -9.471562213625879e-01, -3.207726489807764e-01}; - static constexpr std::array,74> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, - -4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, - 4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, - -4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, - 4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, - -4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, - 4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, - -4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, - 4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, - -4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, - 4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, - -4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, - 4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, - -4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, - 4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, - -4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, - 7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, - -7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, - 7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, - -7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, - 7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, - -7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, - 7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, - -7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, - 3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, - -3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, - 3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, - -3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, - 9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, - -9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, - 9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, - -9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, - 3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, - -3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, - 3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, - -3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, - 9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, - -9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, - 9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, - -9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, - 0.000000000000000e+00, 3.207726489807764e-01, 9.471562213625879e-01, - 0.000000000000000e+00, -3.207726489807764e-01, 9.471562213625879e-01, - 0.000000000000000e+00, 3.207726489807764e-01, -9.471562213625879e-01, - 0.000000000000000e+00, -3.207726489807764e-01, -9.471562213625879e-01, - 0.000000000000000e+00, 9.471562213625879e-01, 3.207726489807764e-01, - 0.000000000000000e+00, -9.471562213625879e-01, 3.207726489807764e-01, - 0.000000000000000e+00, 9.471562213625879e-01, -3.207726489807764e-01, - 0.000000000000000e+00, -9.471562213625879e-01, -3.207726489807764e-01 - }; - - - static constexpr std::array weights = { - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02 - }; -}; + static constexpr std::array weights = { + 5.130671797338464e-04, 5.130671797338464e-04, 5.130671797338464e-04, + 5.130671797338464e-04, 5.130671797338464e-04, 5.130671797338464e-04, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + -2.958603896103896e-02, -2.958603896103896e-02, -2.958603896103896e-02, + -2.958603896103896e-02, -2.958603896103896e-02, -2.958603896103896e-02, + -2.958603896103896e-02, -2.958603896103896e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_770.hpp b/include/integratorxx/deprecated/lebedev/lebedev_770.hpp index d9b9463..99ae7c2 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_770.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_770.hpp @@ -3,1557 +3,1040 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 770 - * + * */ template struct lebedev_770 { + static constexpr std::array, 770> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 5.087204410502360e-02, 5.087204410502360e-02, 9.974086776528230e-01, + -5.087204410502360e-02, 5.087204410502360e-02, 9.974086776528230e-01, + 5.087204410502360e-02, -5.087204410502360e-02, 9.974086776528230e-01, + -5.087204410502360e-02, -5.087204410502360e-02, 9.974086776528230e-01, + 5.087204410502360e-02, 5.087204410502360e-02, -9.974086776528230e-01, + -5.087204410502360e-02, 5.087204410502360e-02, -9.974086776528230e-01, + 5.087204410502360e-02, -5.087204410502360e-02, -9.974086776528230e-01, + -5.087204410502360e-02, -5.087204410502360e-02, -9.974086776528230e-01, + 5.087204410502360e-02, 9.974086776528230e-01, 5.087204410502360e-02, + -5.087204410502360e-02, 9.974086776528230e-01, 5.087204410502360e-02, + 5.087204410502360e-02, -9.974086776528230e-01, 5.087204410502360e-02, + -5.087204410502360e-02, -9.974086776528230e-01, 5.087204410502360e-02, + 5.087204410502360e-02, 9.974086776528230e-01, -5.087204410502360e-02, + -5.087204410502360e-02, 9.974086776528230e-01, -5.087204410502360e-02, + 5.087204410502360e-02, -9.974086776528230e-01, -5.087204410502360e-02, + -5.087204410502360e-02, -9.974086776528230e-01, -5.087204410502360e-02, + 9.974086776528230e-01, 5.087204410502360e-02, 5.087204410502360e-02, + -9.974086776528230e-01, 5.087204410502360e-02, 5.087204410502360e-02, + 9.974086776528230e-01, -5.087204410502360e-02, 5.087204410502360e-02, + -9.974086776528230e-01, -5.087204410502360e-02, 5.087204410502360e-02, + 9.974086776528230e-01, 5.087204410502360e-02, -5.087204410502360e-02, + -9.974086776528230e-01, 5.087204410502360e-02, -5.087204410502360e-02, + 9.974086776528230e-01, -5.087204410502360e-02, -5.087204410502360e-02, + -9.974086776528230e-01, -5.087204410502360e-02, -5.087204410502360e-02, + 1.228198790178831e-01, 1.228198790178831e-01, 9.847997535723012e-01, + -1.228198790178831e-01, 1.228198790178831e-01, 9.847997535723012e-01, + 1.228198790178831e-01, -1.228198790178831e-01, 9.847997535723012e-01, + 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3.822477379524787e-01, + 7.313007936597657e-01, -5.648768149099500e-01, 3.822477379524787e-01, + -7.313007936597657e-01, -5.648768149099500e-01, 3.822477379524787e-01, + 7.313007936597657e-01, 5.648768149099500e-01, -3.822477379524787e-01, + -7.313007936597657e-01, 5.648768149099500e-01, -3.822477379524787e-01, + 7.313007936597657e-01, -5.648768149099500e-01, -3.822477379524787e-01, + -7.313007936597657e-01, -5.648768149099500e-01, -3.822477379524787e-01}; - static constexpr std::array,770> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 5.087204410502360e-02, 5.087204410502360e-02, 9.974086776528230e-01, - -5.087204410502360e-02, 5.087204410502360e-02, 9.974086776528230e-01, - 5.087204410502360e-02, -5.087204410502360e-02, 9.974086776528230e-01, - -5.087204410502360e-02, -5.087204410502360e-02, 9.974086776528230e-01, - 5.087204410502360e-02, 5.087204410502360e-02, -9.974086776528230e-01, - -5.087204410502360e-02, 5.087204410502360e-02, -9.974086776528230e-01, - 5.087204410502360e-02, -5.087204410502360e-02, -9.974086776528230e-01, - -5.087204410502360e-02, -5.087204410502360e-02, -9.974086776528230e-01, - 5.087204410502360e-02, 9.974086776528230e-01, 5.087204410502360e-02, - -5.087204410502360e-02, 9.974086776528230e-01, 5.087204410502360e-02, - 5.087204410502360e-02, -9.974086776528230e-01, 5.087204410502360e-02, - -5.087204410502360e-02, -9.974086776528230e-01, 5.087204410502360e-02, - 5.087204410502360e-02, 9.974086776528230e-01, -5.087204410502360e-02, - -5.087204410502360e-02, 9.974086776528230e-01, -5.087204410502360e-02, - 5.087204410502360e-02, -9.974086776528230e-01, -5.087204410502360e-02, - -5.087204410502360e-02, -9.974086776528230e-01, -5.087204410502360e-02, - 9.974086776528230e-01, 5.087204410502360e-02, 5.087204410502360e-02, - -9.974086776528230e-01, 5.087204410502360e-02, 5.087204410502360e-02, - 9.974086776528230e-01, -5.087204410502360e-02, 5.087204410502360e-02, - -9.974086776528230e-01, -5.087204410502360e-02, 5.087204410502360e-02, - 9.974086776528230e-01, 5.087204410502360e-02, -5.087204410502360e-02, - -9.974086776528230e-01, 5.087204410502360e-02, -5.087204410502360e-02, - 9.974086776528230e-01, -5.087204410502360e-02, -5.087204410502360e-02, - -9.974086776528230e-01, -5.087204410502360e-02, -5.087204410502360e-02, - 1.228198790178831e-01, 1.228198790178831e-01, 9.847997535723012e-01, - -1.228198790178831e-01, 1.228198790178831e-01, 9.847997535723012e-01, - 1.228198790178831e-01, -1.228198790178831e-01, 9.847997535723012e-01, - -1.228198790178831e-01, -1.228198790178831e-01, 9.847997535723012e-01, - 1.228198790178831e-01, 1.228198790178831e-01, -9.847997535723012e-01, - -1.228198790178831e-01, 1.228198790178831e-01, -9.847997535723012e-01, - 1.228198790178831e-01, -1.228198790178831e-01, -9.847997535723012e-01, - -1.228198790178831e-01, -1.228198790178831e-01, -9.847997535723012e-01, - 1.228198790178831e-01, 9.847997535723012e-01, 1.228198790178831e-01, - -1.228198790178831e-01, 9.847997535723012e-01, 1.228198790178831e-01, - 1.228198790178831e-01, -9.847997535723012e-01, 1.228198790178831e-01, - -1.228198790178831e-01, -9.847997535723012e-01, 1.228198790178831e-01, - 1.228198790178831e-01, 9.847997535723012e-01, -1.228198790178831e-01, - -1.228198790178831e-01, 9.847997535723012e-01, -1.228198790178831e-01, - 1.228198790178831e-01, -9.847997535723012e-01, -1.228198790178831e-01, - -1.228198790178831e-01, -9.847997535723012e-01, -1.228198790178831e-01, - 9.847997535723012e-01, 1.228198790178831e-01, 1.228198790178831e-01, - -9.847997535723012e-01, 1.228198790178831e-01, 1.228198790178831e-01, - 9.847997535723012e-01, -1.228198790178831e-01, 1.228198790178831e-01, - -9.847997535723012e-01, -1.228198790178831e-01, 1.228198790178831e-01, - 9.847997535723012e-01, 1.228198790178831e-01, -1.228198790178831e-01, - -9.847997535723012e-01, 1.228198790178831e-01, -1.228198790178831e-01, - 9.847997535723012e-01, -1.228198790178831e-01, -1.228198790178831e-01, - -9.847997535723012e-01, -1.228198790178831e-01, -1.228198790178831e-01, - 2.026890814408786e-01, 2.026890814408786e-01, 9.580366759833914e-01, - -2.026890814408786e-01, 2.026890814408786e-01, 9.580366759833914e-01, - 2.026890814408786e-01, -2.026890814408786e-01, 9.580366759833914e-01, - -2.026890814408786e-01, -2.026890814408786e-01, 9.580366759833914e-01, - 2.026890814408786e-01, 2.026890814408786e-01, -9.580366759833914e-01, - -2.026890814408786e-01, 2.026890814408786e-01, -9.580366759833914e-01, - 2.026890814408786e-01, -2.026890814408786e-01, -9.580366759833914e-01, - -2.026890814408786e-01, -2.026890814408786e-01, -9.580366759833914e-01, - 2.026890814408786e-01, 9.580366759833914e-01, 2.026890814408786e-01, - -2.026890814408786e-01, 9.580366759833914e-01, 2.026890814408786e-01, - 2.026890814408786e-01, -9.580366759833914e-01, 2.026890814408786e-01, - -2.026890814408786e-01, -9.580366759833914e-01, 2.026890814408786e-01, - 2.026890814408786e-01, 9.580366759833914e-01, -2.026890814408786e-01, - -2.026890814408786e-01, 9.580366759833914e-01, -2.026890814408786e-01, - 2.026890814408786e-01, -9.580366759833914e-01, -2.026890814408786e-01, - -2.026890814408786e-01, -9.580366759833914e-01, -2.026890814408786e-01, - 9.580366759833914e-01, 2.026890814408786e-01, 2.026890814408786e-01, - -9.580366759833914e-01, 2.026890814408786e-01, 2.026890814408786e-01, - 9.580366759833914e-01, -2.026890814408786e-01, 2.026890814408786e-01, - -9.580366759833914e-01, -2.026890814408786e-01, 2.026890814408786e-01, - 9.580366759833914e-01, 2.026890814408786e-01, -2.026890814408786e-01, - -9.580366759833914e-01, 2.026890814408786e-01, -2.026890814408786e-01, - 9.580366759833914e-01, -2.026890814408786e-01, -2.026890814408786e-01, - -9.580366759833914e-01, -2.026890814408786e-01, -2.026890814408786e-01, - 2.847745156464294e-01, 2.847745156464294e-01, 9.153179504831548e-01, - -2.847745156464294e-01, 2.847745156464294e-01, 9.153179504831548e-01, - 2.847745156464294e-01, -2.847745156464294e-01, 9.153179504831548e-01, - -2.847745156464294e-01, -2.847745156464294e-01, 9.153179504831548e-01, - 2.847745156464294e-01, 2.847745156464294e-01, -9.153179504831548e-01, - -2.847745156464294e-01, 2.847745156464294e-01, -9.153179504831548e-01, - 2.847745156464294e-01, -2.847745156464294e-01, -9.153179504831548e-01, - -2.847745156464294e-01, -2.847745156464294e-01, -9.153179504831548e-01, - 2.847745156464294e-01, 9.153179504831548e-01, 2.847745156464294e-01, - -2.847745156464294e-01, 9.153179504831548e-01, 2.847745156464294e-01, - 2.847745156464294e-01, -9.153179504831548e-01, 2.847745156464294e-01, - -2.847745156464294e-01, -9.153179504831548e-01, 2.847745156464294e-01, - 2.847745156464294e-01, 9.153179504831548e-01, -2.847745156464294e-01, - -2.847745156464294e-01, 9.153179504831548e-01, -2.847745156464294e-01, - 2.847745156464294e-01, -9.153179504831548e-01, -2.847745156464294e-01, - -2.847745156464294e-01, -9.153179504831548e-01, -2.847745156464294e-01, - 9.153179504831548e-01, 2.847745156464294e-01, 2.847745156464294e-01, - -9.153179504831548e-01, 2.847745156464294e-01, 2.847745156464294e-01, - 9.153179504831548e-01, -2.847745156464294e-01, 2.847745156464294e-01, - -9.153179504831548e-01, -2.847745156464294e-01, 2.847745156464294e-01, - 9.153179504831548e-01, 2.847745156464294e-01, -2.847745156464294e-01, - -9.153179504831548e-01, 2.847745156464294e-01, -2.847745156464294e-01, - 9.153179504831548e-01, -2.847745156464294e-01, -2.847745156464294e-01, - -9.153179504831548e-01, -2.847745156464294e-01, -2.847745156464294e-01, - 3.656719078978026e-01, 3.656719078978026e-01, 8.559019286978865e-01, - -3.656719078978026e-01, 3.656719078978026e-01, 8.559019286978865e-01, - 3.656719078978026e-01, -3.656719078978026e-01, 8.559019286978865e-01, - -3.656719078978026e-01, -3.656719078978026e-01, 8.559019286978865e-01, - 3.656719078978026e-01, 3.656719078978026e-01, -8.559019286978865e-01, - -3.656719078978026e-01, 3.656719078978026e-01, -8.559019286978865e-01, - 3.656719078978026e-01, -3.656719078978026e-01, -8.559019286978865e-01, - -3.656719078978026e-01, -3.656719078978026e-01, -8.559019286978865e-01, - 3.656719078978026e-01, 8.559019286978865e-01, 3.656719078978026e-01, - -3.656719078978026e-01, 8.559019286978865e-01, 3.656719078978026e-01, - 3.656719078978026e-01, -8.559019286978865e-01, 3.656719078978026e-01, - -3.656719078978026e-01, -8.559019286978865e-01, 3.656719078978026e-01, - 3.656719078978026e-01, 8.559019286978865e-01, -3.656719078978026e-01, - -3.656719078978026e-01, 8.559019286978865e-01, -3.656719078978026e-01, - 3.656719078978026e-01, -8.559019286978865e-01, -3.656719078978026e-01, - -3.656719078978026e-01, -8.559019286978865e-01, -3.656719078978026e-01, - 8.559019286978865e-01, 3.656719078978026e-01, 3.656719078978026e-01, - -8.559019286978865e-01, 3.656719078978026e-01, 3.656719078978026e-01, - 8.559019286978865e-01, -3.656719078978026e-01, 3.656719078978026e-01, - -8.559019286978865e-01, -3.656719078978026e-01, 3.656719078978026e-01, - 8.559019286978865e-01, 3.656719078978026e-01, -3.656719078978026e-01, - -8.559019286978865e-01, 3.656719078978026e-01, -3.656719078978026e-01, - 8.559019286978865e-01, -3.656719078978026e-01, -3.656719078978026e-01, - -8.559019286978865e-01, -3.656719078978026e-01, -3.656719078978026e-01, - 4.428264886713469e-01, 4.428264886713469e-01, 7.796213195276351e-01, - -4.428264886713469e-01, 4.428264886713469e-01, 7.796213195276351e-01, - 4.428264886713469e-01, -4.428264886713469e-01, 7.796213195276351e-01, - -4.428264886713469e-01, -4.428264886713469e-01, 7.796213195276351e-01, - 4.428264886713469e-01, 4.428264886713469e-01, -7.796213195276351e-01, - -4.428264886713469e-01, 4.428264886713469e-01, -7.796213195276351e-01, - 4.428264886713469e-01, -4.428264886713469e-01, -7.796213195276351e-01, - -4.428264886713469e-01, -4.428264886713469e-01, -7.796213195276351e-01, - 4.428264886713469e-01, 7.796213195276351e-01, 4.428264886713469e-01, - -4.428264886713469e-01, 7.796213195276351e-01, 4.428264886713469e-01, - 4.428264886713469e-01, -7.796213195276351e-01, 4.428264886713469e-01, - 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1.338366684479554e-03, 1.338366684479554e-03, 1.338366684479554e-03, + 1.338366684479554e-03, 1.338366684479554e-03, 1.338366684479554e-03, + 1.338366684479554e-03, 1.338366684479554e-03, 1.338366684479554e-03, + 1.338366684479554e-03, 1.338366684479554e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.393700862676131e-03, + 1.393700862676131e-03, 1.393700862676131e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_86.hpp b/include/integratorxx/deprecated/lebedev/lebedev_86.hpp index 61f9edc..ec039c7 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_86.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_86.hpp @@ -3,189 +3,128 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 86 - * + * */ template struct lebedev_86 { + static constexpr std::array, 86> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, + -3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, + 3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, + -3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, + 3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, + -3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, + 3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, + -3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, + 3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, + -3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, + 3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, + -3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, + 3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, + -3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, + 3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, + -3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, + 8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, + -8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, + 8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, + -8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, + 8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, + -8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, + 8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, + -8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, + 6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, + -6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, + 6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, + -6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, + 6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, + -6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, + 6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, + -6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, + 6.943540066026664e-01, 1.890635528853950e-01, 6.943540066026664e-01, + -6.943540066026664e-01, 1.890635528853950e-01, 6.943540066026664e-01, + 6.943540066026664e-01, -1.890635528853950e-01, 6.943540066026664e-01, + -6.943540066026664e-01, -1.890635528853950e-01, 6.943540066026664e-01, + 6.943540066026664e-01, 1.890635528853950e-01, -6.943540066026664e-01, + -6.943540066026664e-01, 1.890635528853950e-01, -6.943540066026664e-01, + 6.943540066026664e-01, -1.890635528853950e-01, -6.943540066026664e-01, + -6.943540066026664e-01, -1.890635528853950e-01, -6.943540066026664e-01, + 1.890635528853950e-01, 6.943540066026664e-01, 6.943540066026664e-01, + -1.890635528853950e-01, 6.943540066026664e-01, 6.943540066026664e-01, + 1.890635528853950e-01, -6.943540066026664e-01, 6.943540066026664e-01, + -1.890635528853950e-01, -6.943540066026664e-01, 6.943540066026664e-01, + 1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, + -1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, + 1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, + -1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, + 3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, + -3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, + 3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, + -3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, + 9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, + -9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, + 9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, + -9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, + 3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, + -3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, + 3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, + -3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, + 9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, + -9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, + 9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, + -9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, + 0.000000000000000e+00, 3.742430390903412e-01, 9.273306571511725e-01, + 0.000000000000000e+00, -3.742430390903412e-01, 9.273306571511725e-01, + 0.000000000000000e+00, 3.742430390903412e-01, -9.273306571511725e-01, + 0.000000000000000e+00, -3.742430390903412e-01, -9.273306571511725e-01, + 0.000000000000000e+00, 9.273306571511725e-01, 3.742430390903412e-01, + 0.000000000000000e+00, -9.273306571511725e-01, 3.742430390903412e-01, + 0.000000000000000e+00, 9.273306571511725e-01, -3.742430390903412e-01, + 0.000000000000000e+00, -9.273306571511725e-01, -3.742430390903412e-01}; - static constexpr std::array,86> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, - -3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, - 3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, - -3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, - 3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, - -3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, - 3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, - -3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, - 3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, - -3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, - 3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, - -3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, - 3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, - -3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, - 3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, - -3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, - 8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, - -8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, - 8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, - -8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, - 8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, - -8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, - 8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, - -8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, - 6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, - -6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, - 6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, - -6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, - 6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, - -6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, - 6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, - -6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, - 6.943540066026664e-01, 1.890635528853950e-01, 6.943540066026664e-01, - -6.943540066026664e-01, 1.890635528853950e-01, 6.943540066026664e-01, - 6.943540066026664e-01, -1.890635528853950e-01, 6.943540066026664e-01, - -6.943540066026664e-01, -1.890635528853950e-01, 6.943540066026664e-01, - 6.943540066026664e-01, 1.890635528853950e-01, -6.943540066026664e-01, - -6.943540066026664e-01, 1.890635528853950e-01, -6.943540066026664e-01, - 6.943540066026664e-01, -1.890635528853950e-01, -6.943540066026664e-01, - -6.943540066026664e-01, -1.890635528853950e-01, -6.943540066026664e-01, - 1.890635528853950e-01, 6.943540066026664e-01, 6.943540066026664e-01, - -1.890635528853950e-01, 6.943540066026664e-01, 6.943540066026664e-01, - 1.890635528853950e-01, -6.943540066026664e-01, 6.943540066026664e-01, - -1.890635528853950e-01, -6.943540066026664e-01, 6.943540066026664e-01, - 1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, - -1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, - 1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, - -1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, - 3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, - -3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, - 3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, - -3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, - 9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, - -9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, - 9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, - -9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, - 3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, - -3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, - 3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, - -3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, - 9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, - -9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, - 9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, - -9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, - 0.000000000000000e+00, 3.742430390903412e-01, 9.273306571511725e-01, - 0.000000000000000e+00, -3.742430390903412e-01, 9.273306571511725e-01, - 0.000000000000000e+00, 3.742430390903412e-01, -9.273306571511725e-01, - 0.000000000000000e+00, -3.742430390903412e-01, -9.273306571511725e-01, - 0.000000000000000e+00, 9.273306571511725e-01, 3.742430390903412e-01, - 0.000000000000000e+00, -9.273306571511725e-01, 3.742430390903412e-01, - 0.000000000000000e+00, 9.273306571511725e-01, -3.742430390903412e-01, - 0.000000000000000e+00, -9.273306571511725e-01, -3.742430390903412e-01 - }; - - - static constexpr std::array weights = { - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02 - }; -}; + static constexpr std::array weights = { + 1.154401154401154e-02, 1.154401154401154e-02, 1.154401154401154e-02, + 1.154401154401154e-02, 1.154401154401154e-02, 1.154401154401154e-02, + 1.194390908585628e-02, 1.194390908585628e-02, 1.194390908585628e-02, + 1.194390908585628e-02, 1.194390908585628e-02, 1.194390908585628e-02, + 1.194390908585628e-02, 1.194390908585628e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/lebedev/lebedev_974.hpp b/include/integratorxx/deprecated/lebedev/lebedev_974.hpp index 44dfb1c..144b611 100644 --- a/include/integratorxx/deprecated/lebedev/lebedev_974.hpp +++ b/include/integratorxx/deprecated/lebedev/lebedev_974.hpp @@ -3,1965 +3,1312 @@ namespace LebedevGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 974 - * + * */ template struct lebedev_974 { + static constexpr std::array, 974> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 4.292963545341347e-02, 4.292963545341347e-02, 9.981553450238465e-01, + -4.292963545341347e-02, 4.292963545341347e-02, 9.981553450238465e-01, + 4.292963545341347e-02, -4.292963545341347e-02, 9.981553450238465e-01, + -4.292963545341347e-02, -4.292963545341347e-02, 9.981553450238465e-01, + 4.292963545341347e-02, 4.292963545341347e-02, -9.981553450238465e-01, + -4.292963545341347e-02, 4.292963545341347e-02, -9.981553450238465e-01, + 4.292963545341347e-02, -4.292963545341347e-02, -9.981553450238465e-01, + -4.292963545341347e-02, -4.292963545341347e-02, -9.981553450238465e-01, + 4.292963545341347e-02, 9.981553450238465e-01, 4.292963545341347e-02, + -4.292963545341347e-02, 9.981553450238465e-01, 4.292963545341347e-02, + 4.292963545341347e-02, -9.981553450238465e-01, 4.292963545341347e-02, + -4.292963545341347e-02, -9.981553450238465e-01, 4.292963545341347e-02, + 4.292963545341347e-02, 9.981553450238465e-01, -4.292963545341347e-02, + -4.292963545341347e-02, 9.981553450238465e-01, -4.292963545341347e-02, + 4.292963545341347e-02, -9.981553450238465e-01, -4.292963545341347e-02, + -4.292963545341347e-02, -9.981553450238465e-01, -4.292963545341347e-02, + 9.981553450238465e-01, 4.292963545341347e-02, 4.292963545341347e-02, + -9.981553450238465e-01, 4.292963545341347e-02, 4.292963545341347e-02, + 9.981553450238465e-01, -4.292963545341347e-02, 4.292963545341347e-02, + -9.981553450238465e-01, -4.292963545341347e-02, 4.292963545341347e-02, + 9.981553450238465e-01, 4.292963545341347e-02, -4.292963545341347e-02, + -9.981553450238465e-01, 4.292963545341347e-02, -4.292963545341347e-02, + 9.981553450238465e-01, -4.292963545341347e-02, -4.292963545341347e-02, + -9.981553450238465e-01, -4.292963545341347e-02, -4.292963545341347e-02, + 1.051426854086404e-01, 1.051426854086404e-01, 9.888832243546856e-01, + -1.051426854086404e-01, 1.051426854086404e-01, 9.888832243546856e-01, + 1.051426854086404e-01, -1.051426854086404e-01, 9.888832243546856e-01, + -1.051426854086404e-01, -1.051426854086404e-01, 9.888832243546856e-01, + 1.051426854086404e-01, 1.051426854086404e-01, -9.888832243546856e-01, + -1.051426854086404e-01, 1.051426854086404e-01, -9.888832243546856e-01, + 1.051426854086404e-01, -1.051426854086404e-01, -9.888832243546856e-01, + -1.051426854086404e-01, -1.051426854086404e-01, -9.888832243546856e-01, + 1.051426854086404e-01, 9.888832243546856e-01, 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-7.165918454670238e-01, + -5.674997546074373e-01, -4.055122137872836e-01, -7.165918454670238e-01, + 5.674997546074373e-01, 7.165918454670238e-01, 4.055122137872836e-01, + -5.674997546074373e-01, 7.165918454670238e-01, 4.055122137872836e-01, + 5.674997546074373e-01, -7.165918454670238e-01, 4.055122137872836e-01, + -5.674997546074373e-01, -7.165918454670238e-01, 4.055122137872836e-01, + 5.674997546074373e-01, 7.165918454670238e-01, -4.055122137872836e-01, + -5.674997546074373e-01, 7.165918454670238e-01, -4.055122137872836e-01, + 5.674997546074373e-01, -7.165918454670238e-01, -4.055122137872836e-01, + -5.674997546074373e-01, -7.165918454670238e-01, -4.055122137872836e-01, + 7.165918454670238e-01, 4.055122137872836e-01, 5.674997546074373e-01, + -7.165918454670238e-01, 4.055122137872836e-01, 5.674997546074373e-01, + 7.165918454670238e-01, -4.055122137872836e-01, 5.674997546074373e-01, + -7.165918454670238e-01, -4.055122137872836e-01, 5.674997546074373e-01, + 7.165918454670238e-01, 4.055122137872836e-01, -5.674997546074373e-01, + -7.165918454670238e-01, 4.055122137872836e-01, -5.674997546074373e-01, + 7.165918454670238e-01, -4.055122137872836e-01, -5.674997546074373e-01, + -7.165918454670238e-01, -4.055122137872836e-01, -5.674997546074373e-01, + 7.165918454670238e-01, 5.674997546074373e-01, 4.055122137872836e-01, + -7.165918454670238e-01, 5.674997546074373e-01, 4.055122137872836e-01, + 7.165918454670238e-01, -5.674997546074373e-01, 4.055122137872836e-01, + -7.165918454670238e-01, -5.674997546074373e-01, 4.055122137872836e-01, + 7.165918454670238e-01, 5.674997546074373e-01, -4.055122137872836e-01, + -7.165918454670238e-01, 5.674997546074373e-01, -4.055122137872836e-01, + 7.165918454670238e-01, -5.674997546074373e-01, -4.055122137872836e-01, + -7.165918454670238e-01, -5.674997546074373e-01, -4.055122137872836e-01}; - static constexpr std::array,974> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.292963545341347e-02, 4.292963545341347e-02, 9.981553450238465e-01, - -4.292963545341347e-02, 4.292963545341347e-02, 9.981553450238465e-01, - 4.292963545341347e-02, -4.292963545341347e-02, 9.981553450238465e-01, - -4.292963545341347e-02, -4.292963545341347e-02, 9.981553450238465e-01, - 4.292963545341347e-02, 4.292963545341347e-02, -9.981553450238465e-01, - -4.292963545341347e-02, 4.292963545341347e-02, -9.981553450238465e-01, - 4.292963545341347e-02, -4.292963545341347e-02, -9.981553450238465e-01, - -4.292963545341347e-02, -4.292963545341347e-02, -9.981553450238465e-01, - 4.292963545341347e-02, 9.981553450238465e-01, 4.292963545341347e-02, - -4.292963545341347e-02, 9.981553450238465e-01, 4.292963545341347e-02, - 4.292963545341347e-02, -9.981553450238465e-01, 4.292963545341347e-02, - -4.292963545341347e-02, -9.981553450238465e-01, 4.292963545341347e-02, - 4.292963545341347e-02, 9.981553450238465e-01, -4.292963545341347e-02, - -4.292963545341347e-02, 9.981553450238465e-01, -4.292963545341347e-02, - 4.292963545341347e-02, -9.981553450238465e-01, -4.292963545341347e-02, - -4.292963545341347e-02, -9.981553450238465e-01, -4.292963545341347e-02, - 9.981553450238465e-01, 4.292963545341347e-02, 4.292963545341347e-02, - -9.981553450238465e-01, 4.292963545341347e-02, 4.292963545341347e-02, - 9.981553450238465e-01, -4.292963545341347e-02, 4.292963545341347e-02, - -9.981553450238465e-01, -4.292963545341347e-02, 4.292963545341347e-02, - 9.981553450238465e-01, 4.292963545341347e-02, -4.292963545341347e-02, - -9.981553450238465e-01, 4.292963545341347e-02, -4.292963545341347e-02, - 9.981553450238465e-01, -4.292963545341347e-02, -4.292963545341347e-02, - -9.981553450238465e-01, -4.292963545341347e-02, -4.292963545341347e-02, - 1.051426854086404e-01, 1.051426854086404e-01, 9.888832243546856e-01, - -1.051426854086404e-01, 1.051426854086404e-01, 9.888832243546856e-01, - 1.051426854086404e-01, -1.051426854086404e-01, 9.888832243546856e-01, - -1.051426854086404e-01, -1.051426854086404e-01, 9.888832243546856e-01, - 1.051426854086404e-01, 1.051426854086404e-01, -9.888832243546856e-01, - -1.051426854086404e-01, 1.051426854086404e-01, -9.888832243546856e-01, - 1.051426854086404e-01, -1.051426854086404e-01, -9.888832243546856e-01, - -1.051426854086404e-01, -1.051426854086404e-01, -9.888832243546856e-01, - 1.051426854086404e-01, 9.888832243546856e-01, 1.051426854086404e-01, - -1.051426854086404e-01, 9.888832243546856e-01, 1.051426854086404e-01, - 1.051426854086404e-01, -9.888832243546856e-01, 1.051426854086404e-01, - -1.051426854086404e-01, -9.888832243546856e-01, 1.051426854086404e-01, - 1.051426854086404e-01, 9.888832243546856e-01, -1.051426854086404e-01, - -1.051426854086404e-01, 9.888832243546856e-01, -1.051426854086404e-01, - 1.051426854086404e-01, -9.888832243546856e-01, -1.051426854086404e-01, - -1.051426854086404e-01, -9.888832243546856e-01, -1.051426854086404e-01, - 9.888832243546856e-01, 1.051426854086404e-01, 1.051426854086404e-01, - -9.888832243546856e-01, 1.051426854086404e-01, 1.051426854086404e-01, - 9.888832243546856e-01, -1.051426854086404e-01, 1.051426854086404e-01, - -9.888832243546856e-01, -1.051426854086404e-01, 1.051426854086404e-01, - 9.888832243546856e-01, 1.051426854086404e-01, -1.051426854086404e-01, - -9.888832243546856e-01, 1.051426854086404e-01, -1.051426854086404e-01, - 9.888832243546856e-01, -1.051426854086404e-01, -1.051426854086404e-01, - -9.888832243546856e-01, -1.051426854086404e-01, -1.051426854086404e-01, - 1.750024867623087e-01, 1.750024867623087e-01, 9.688902204347074e-01, - -1.750024867623087e-01, 1.750024867623087e-01, 9.688902204347074e-01, - 1.750024867623087e-01, -1.750024867623087e-01, 9.688902204347074e-01, - -1.750024867623087e-01, -1.750024867623087e-01, 9.688902204347074e-01, - 1.750024867623087e-01, 1.750024867623087e-01, -9.688902204347074e-01, - -1.750024867623087e-01, 1.750024867623087e-01, -9.688902204347074e-01, - 1.750024867623087e-01, -1.750024867623087e-01, -9.688902204347074e-01, - -1.750024867623087e-01, -1.750024867623087e-01, -9.688902204347074e-01, - 1.750024867623087e-01, 9.688902204347074e-01, 1.750024867623087e-01, - -1.750024867623087e-01, 9.688902204347074e-01, 1.750024867623087e-01, - 1.750024867623087e-01, -9.688902204347074e-01, 1.750024867623087e-01, - -1.750024867623087e-01, -9.688902204347074e-01, 1.750024867623087e-01, - 1.750024867623087e-01, 9.688902204347074e-01, -1.750024867623087e-01, - -1.750024867623087e-01, 9.688902204347074e-01, -1.750024867623087e-01, - 1.750024867623087e-01, -9.688902204347074e-01, -1.750024867623087e-01, - -1.750024867623087e-01, -9.688902204347074e-01, -1.750024867623087e-01, - 9.688902204347074e-01, 1.750024867623087e-01, 1.750024867623087e-01, - -9.688902204347074e-01, 1.750024867623087e-01, 1.750024867623087e-01, - 9.688902204347074e-01, -1.750024867623087e-01, 1.750024867623087e-01, - -9.688902204347074e-01, -1.750024867623087e-01, 1.750024867623087e-01, - 9.688902204347074e-01, 1.750024867623087e-01, -1.750024867623087e-01, - -9.688902204347074e-01, 1.750024867623087e-01, -1.750024867623087e-01, - 9.688902204347074e-01, -1.750024867623087e-01, -1.750024867623087e-01, - -9.688902204347074e-01, -1.750024867623087e-01, -1.750024867623087e-01, - 2.477653379650257e-01, 2.477653379650257e-01, 9.366027304071631e-01, - -2.477653379650257e-01, 2.477653379650257e-01, 9.366027304071631e-01, - 2.477653379650257e-01, -2.477653379650257e-01, 9.366027304071631e-01, - -2.477653379650257e-01, -2.477653379650257e-01, 9.366027304071631e-01, - 2.477653379650257e-01, 2.477653379650257e-01, -9.366027304071631e-01, - -2.477653379650257e-01, 2.477653379650257e-01, -9.366027304071631e-01, - 2.477653379650257e-01, -2.477653379650257e-01, -9.366027304071631e-01, - -2.477653379650257e-01, -2.477653379650257e-01, -9.366027304071631e-01, - 2.477653379650257e-01, 9.366027304071631e-01, 2.477653379650257e-01, - -2.477653379650257e-01, 9.366027304071631e-01, 2.477653379650257e-01, - 2.477653379650257e-01, -9.366027304071631e-01, 2.477653379650257e-01, - -2.477653379650257e-01, -9.366027304071631e-01, 2.477653379650257e-01, - 2.477653379650257e-01, 9.366027304071631e-01, -2.477653379650257e-01, - -2.477653379650257e-01, 9.366027304071631e-01, -2.477653379650257e-01, - 2.477653379650257e-01, -9.366027304071631e-01, -2.477653379650257e-01, - -2.477653379650257e-01, -9.366027304071631e-01, -2.477653379650257e-01, - 9.366027304071631e-01, 2.477653379650257e-01, 2.477653379650257e-01, - -9.366027304071631e-01, 2.477653379650257e-01, 2.477653379650257e-01, - 9.366027304071631e-01, -2.477653379650257e-01, 2.477653379650257e-01, - -9.366027304071631e-01, -2.477653379650257e-01, 2.477653379650257e-01, - 9.366027304071631e-01, 2.477653379650257e-01, -2.477653379650257e-01, - -9.366027304071631e-01, 2.477653379650257e-01, -2.477653379650257e-01, - 9.366027304071631e-01, -2.477653379650257e-01, -2.477653379650257e-01, - -9.366027304071631e-01, -2.477653379650257e-01, -2.477653379650257e-01, - 3.206567123955957e-01, 3.206567123955957e-01, 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1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.032401847117460e-03, + 1.032401847117460e-03, 1.032401847117460e-03, 1.107249382283854e-03, + 1.107249382283854e-03, 1.107249382283854e-03, 1.107249382283854e-03, + 1.107249382283854e-03, 1.107249382283854e-03, 1.107249382283854e-03, + 1.107249382283854e-03, 1.107249382283854e-03, 1.107249382283854e-03, + 1.107249382283854e-03, 1.107249382283854e-03, 1.107249382283854e-03, + 1.107249382283854e-03, 1.107249382283854e-03, 1.107249382283854e-03, + 1.107249382283854e-03, 1.107249382283854e-03, 1.107249382283854e-03, + 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1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03, 1.121780048519972e-03, + 1.121780048519972e-03, 1.121780048519972e-03}; }; -} +}; // namespace LebedevGrids +} // namespace IntegratorXX::deprecated diff --git a/include/integratorxx/deprecated/quadrature.hpp b/include/integratorxx/deprecated/quadrature.hpp index c9dcb29..bfcf8f7 100644 --- a/include/integratorxx/deprecated/quadrature.hpp +++ b/include/integratorxx/deprecated/quadrature.hpp @@ -2,235 +2,187 @@ #define __INCLUDED_INTEGRATORXX_QUADRATURE_HPP__ #include -#include -#include -#include #include #include +#include +#include +#include namespace IntegratorXX::deprecated { +/** + * \brief 3D Cartesian Point + */ +template +using cartesian_pt_t = std::array; + +/** + * \brief The Quatrature Interface + * + * Details the interface for the instantiation of + * quadrature rules. All definitions for quadrature + * rules should derive from this class + */ +template class ContiguousContainer, typename Derived> +class Quadrature; - /** - * \brief 3D Cartesian Point - */ - template - using cartesian_pt_t = std::array; - - - /** - * \brief The Quatrature Interface - * - * Details the interface for the instantiation of - * quadrature rules. All definitions for quadrature - * rules should derive from this class - */ - template < - typename PointType, - typename wght_t, - template class ContiguousContainer, - typename Derived - > - class Quadrature; - - /** - * \brief Placeholder class to perform template specialization - * for quadrature generation - */ - template class GenerateQuadrature; - - - - - - - - // Instantiation of Quadrature base class - template < - typename PointType, - typename wght_t, - template class ContiguousContainer - > - class QuadratureBase - { - - public: - using point_type = PointType; - ///< Storage type for the points - using weight_type = wght_t; - ///< Storage type for the weights - - template - using container_type = ContiguousContainer; - ///< Contiguous container type - - using point_container = - container_type< point_type >; - ///< Contiguous point storage - - using weight_container = - container_type< weight_type >; - ///< Contiguous weight storage - - protected: - - point_container pts; ///< Integration points - weight_container wghts; ///< Quadrature weights - - - // Internal constructors - - // Construct from const points / weights - QuadratureBase( - const point_container& _pts, - const weight_container& _wgt - ): pts( _pts ), wghts( _wgt ){ } - - // Construct from rvalue points / weights - QuadratureBase( - point_container&& _pts, - weight_container&& _wgt - ): pts( std::move(_pts) ), wghts( std::move(_wgt) ){ } - - - // Construct from const tuple of points / weights - QuadratureBase( - const std::tuple& tup - ) : QuadratureBase( std::get<0>(tup), std::get<1>(tup) ){ }; - - // Construct from rvalue tuple of points / weights - QuadratureBase( - std::tuple&& tup - ) : QuadratureBase( - std::move(std::get<0>(tup)), - std::move(std::get<1>(tup)) - ){ } - - - public: - - /** - * \brief Return number of integration points - */ - inline auto nPts() const { return pts.size(); }; - - /** - * \brief Return const reference to the quadrature points. - */ - inline const point_container& points() const { return pts; }; - - /** - * \brief Return const reference to the quadrature weights. - */ - inline const weight_container& weights() const { return wghts; }; - - }; // class QuadratureBase - - - - - +/** + * \brief Placeholder class to perform template specialization + * for quadrature generation + */ +template +class GenerateQuadrature; +// Instantiation of Quadrature base class +template class ContiguousContainer> +class QuadratureBase { + public: + using point_type = PointType; + ///< Storage type for the points + using weight_type = wght_t; + ///< Storage type for the weights - // Instantiation of Quadrature base class - template < - typename PointType, - typename wght_t, - template class ContiguousContainer, - typename Derived - > - class Quadrature : public QuadratureBase< PointType, wght_t, ContiguousContainer > - { + template + using container_type = ContiguousContainer; + ///< Contiguous container type - public: + using point_container = container_type; + ///< Contiguous point storage - Quadrature() = delete; // no default ctor + using weight_container = container_type; + ///< Contiguous weight storage - /** - * \brief Construct a Quadrature object - * - * Delagate Quadrature constuction to specific - * GenerateQuadrature implementation. - */ - template - Quadrature( const size_t nPts, Args&&... args ); + protected: + point_container pts; ///< Integration points + weight_container wghts; ///< Quadrature weights - }; // class Quadrature + // Internal constructors + // Construct from const points / weights + QuadratureBase(const point_container& _pts, const weight_container& _wgt) + : pts(_pts), wghts(_wgt) {} - // Define quadrature rules + // Construct from rvalue points / weights + QuadratureBase(point_container&& _pts, weight_container&& _wgt) + : pts(std::move(_pts)), wghts(std::move(_wgt)) {} - #define QuadratureImpl(NAME) \ - template < \ - typename PointType, \ - typename wght_t = double, \ - template class ContiguousContainer = std::vector \ - > \ - class NAME : public Quadrature> \ - { \ - public: \ - using Base = Quadrature>; \ - template NAME( const size_t nPts, Args&&... args ) : \ - Base(nPts, std::forward(args)...) {} \ - }; + // Construct from const tuple of points / weights + QuadratureBase(const std::tuple& tup) + : QuadratureBase(std::get<0>(tup), std::get<1>(tup)){}; + // Construct from rvalue tuple of points / weights + QuadratureBase(std::tuple&& tup) + : QuadratureBase(std::move(std::get<0>(tup)), + std::move(std::get<1>(tup))) {} + public: /** - * \brief Gauss-Legendre quadrature rule - */ - QuadratureImpl( GaussLegendre ); + * \brief Return number of integration points + */ + inline auto nPts() const { return pts.size(); }; /** - * \brief Gauss-Chebyshev (1st kind) quadrature rule - */ - QuadratureImpl( GaussChebyshev1 ); + * \brief Return const reference to the quadrature points. + */ + inline const point_container& points() const { return pts; }; /** - * \brief Gauss-Chebyshev (2nd kind) quadrature rule - */ - QuadratureImpl( GaussChebyshev2 ); + * \brief Return const reference to the quadrature weights. + */ + inline const weight_container& weights() const { return wghts; }; - /** - * \brief Euler-Maclaurin quadrature rule - */ - QuadratureImpl( EulerMaclaurin ); - - /** - * \brief Ahlrichs quadrature rule - */ - QuadratureImpl( Ahlrichs ); - - /** - * \brief Knowles quadrature rule - */ - QuadratureImpl( Knowles ); +}; // class QuadratureBase +// Instantiation of Quadrature base class +template class ContiguousContainer, typename Derived> +class Quadrature + : public QuadratureBase { + public: + Quadrature() = delete; // no default ctor /** - * \brief Lebedev-Laikov spherical quadrature rule - */ - template < - typename PointType, - typename wght_t = double, - template class ContiguousContainer = std::vector - > - class Lebedev : public Quadrature,wght_t,ContiguousContainer,Lebedev> - { - public: - using Base = Quadrature,wght_t,ContiguousContainer,Lebedev>; - template Lebedev( const size_t nPts, Args&&... args ) : - Base(nPts, std::forward(args)...) {} + * \brief Construct a Quadrature object + * + * Delagate Quadrature constuction to specific + * GenerateQuadrature implementation. + */ + template + Quadrature(const size_t nPts, Args&&... args); + +}; // class Quadrature + +// Define quadrature rules + +#define QuadratureImpl(NAME) \ + template class ContiguousContainer = \ + std::vector> \ + class NAME : public Quadrature> { \ + public: \ + using Base = \ + Quadrature>; \ + template \ + NAME(const size_t nPts, Args&&... args) \ + : Base(nPts, std::forward(args)...) {} \ }; +/** + * \brief Gauss-Legendre quadrature rule + */ +QuadratureImpl(GaussLegendre); + +/** + * \brief Gauss-Chebyshev (1st kind) quadrature rule + */ +QuadratureImpl(GaussChebyshev1); + +/** + * \brief Gauss-Chebyshev (2nd kind) quadrature rule + */ +QuadratureImpl(GaussChebyshev2); + +/** + * \brief Euler-Maclaurin quadrature rule + */ +QuadratureImpl(EulerMaclaurin); + +/** + * \brief Ahlrichs quadrature rule + */ +QuadratureImpl(Ahlrichs); + +/** + * \brief Knowles quadrature rule + */ +QuadratureImpl(Knowles); + +/** + * \brief Lebedev-Laikov spherical quadrature rule + */ +template class ContiguousContainer = std::vector> +class Lebedev : public Quadrature, wght_t, + ContiguousContainer, Lebedev> { + public: + using Base = Quadrature, wght_t, + ContiguousContainer, Lebedev>; + template + Lebedev(const size_t nPts, Args&&... args) + : Base(nPts, std::forward(args)...) {} +}; } // namespace IntegratorXX::deprecated // Instantiations of quadrature rules -#include "gausslegendre.hpp" +#include "aldrichs.hpp" +#include "eulermaclaurin.hpp" #include "gausscheby1.hpp" #include "gausscheby2.hpp" -#include "eulermaclaurin.hpp" -#include "aldrichs.hpp" +#include "gausslegendre.hpp" #include "knowles.hpp" #include "lebedev.hpp" @@ -239,12 +191,13 @@ namespace IntegratorXX::deprecated { // Instantiation of Quadrature base class template class ContiguousContainer, typename Derived> -template -Quadrature::Quadrature(const size_t nPts, Args &&... args) +template +Quadrature::Quadrature( + const size_t nPts, Args&&... args) : QuadratureBase( std::move(GenerateQuadrature::generate( nPts, std::forward(args)...))) {} -} +} // namespace IntegratorXX::deprecated #endif diff --git a/include/integratorxx/deprecated/util/bound_transform.hpp b/include/integratorxx/deprecated/util/bound_transform.hpp index 540d5fd..9996d7f 100644 --- a/include/integratorxx/deprecated/util/bound_transform.hpp +++ b/include/integratorxx/deprecated/util/bound_transform.hpp @@ -3,22 +3,17 @@ namespace IntegratorXX::deprecated { - template -constexpr inline auto transform_minus_one_to_one( - const PtT lo, const PtT up, PtT pt, WgtT wgt -) { - - assert( lo < up ); +constexpr inline auto transform_minus_one_to_one(const PtT lo, const PtT up, + PtT pt, WgtT wgt) { + assert(lo < up); constexpr auto inf = std::numeric_limits::infinity(); - const bool up_is_inf = up == inf; + const bool up_is_inf = up == inf; const bool lo_is_minf = lo == -inf; - // Both upper and lower bounds are finite: Map (-1,1) -> (lo,up) - if( not up_is_inf and not lo_is_minf ) { - + if(not up_is_inf and not lo_is_minf) { // Factor jacobian into the weights // dx' = ((b-a)/2) * dx wgt *= (up - lo) / 2.; @@ -27,46 +22,40 @@ constexpr inline auto transform_minus_one_to_one( // x' = ((b-a) / 2)*x + (a+b)/2 pt = (up - lo) * pt / 2. + (up + lo) / 2.; - // Lower bound is finite, upper is infinite: Map (-1,1) -> (lo,inf) - } else if( not lo_is_minf ) { - + // Lower bound is finite, upper is infinite: Map (-1,1) -> (lo,inf) + } else if(not lo_is_minf) { // Factor jacobian into the weights // dx' = \frac{2}{(1-x)^2} dx - wgt *= 2.0 / ( (1 - pt) * (1 - pt) ); + wgt *= 2.0 / ((1 - pt) * (1 - pt)); // Perform the coordinate shift // x' = a + \frac{(1+x)}{(1-x)} - pt = lo + (1 + pt) / (1 - pt); - - // Upper bound is finite, low is infinite: Map (-1,1) -> (inf,up) - } else if( not up_is_inf ) { + pt = lo + (1 + pt) / (1 - pt); + // Upper bound is finite, low is infinite: Map (-1,1) -> (inf,up) + } else if(not up_is_inf) { // Factor jacobian into the weights // dx' = - \frac{2}{(1+x)^2} dx - wgt *= -2.0 / ( (1 + pt) * (1 + pt) ); + wgt *= -2.0 / ((1 + pt) * (1 + pt)); // Perform the coordinate shift // x' = b - \frac{(1-x)}{(1+x)} - pt = up - (1 - pt) / (1 + pt); + pt = up - (1 - pt) / (1 + pt); - // Both infinite: Map (-1,1) -> (-inf,inf) + // Both infinite: Map (-1,1) -> (-inf,inf) } else { - // Factor jacobian into the weights // dx' = \frac{1+x^2}{(x^2 - 1)^2} dx - wgt *= (1 + pt*pt) / ((pt*pt - 1)*(pt*pt - 1)); + wgt *= (1 + pt * pt) / ((pt * pt - 1) * (pt * pt - 1)); // Perform the coordinate shift // x' = x / (1+x) / (1-x) pt = pt / (1 + pt) / (1 - pt); - } - - return std::tuple( pt, wgt ); + return std::tuple(pt, wgt); } - -} +} // namespace IntegratorXX::deprecated #endif diff --git a/include/integratorxx/quadrature.hpp b/include/integratorxx/quadrature.hpp index 9d04d16..4390742 100644 --- a/include/integratorxx/quadrature.hpp +++ b/include/integratorxx/quadrature.hpp @@ -1,9 +1,9 @@ #pragma once -#include -#include #include +#include #include +#include namespace IntegratorXX { @@ -11,55 +11,49 @@ namespace IntegratorXX { template > struct quadrature_traits; - /** * \brief Base class for Quadrature. */ template class QuadratureBase { - -public: - - using point_container = PointContainer; + public: + using point_container = PointContainer; using weight_container = WeightContainer; - using point_type = typename point_container::value_type; + using point_type = typename point_container::value_type; using weight_type = typename weight_container::value_type; -protected: - - point_container points_; + protected: + point_container points_; weight_container weights_; - QuadratureBase( const point_container& p, const weight_container& w ): - points_(p), weights_(w) { } - QuadratureBase( point_container&& p, weight_container&& w ): - points_(std::move(p)), weights_(std::move(w)) { } - -public: - + QuadratureBase(const point_container& p, const weight_container& w) + : points_(p), weights_(w) {} + QuadratureBase(point_container&& p, weight_container&& w) + : points_(std::move(p)), weights_(std::move(w)) {} + public: /** * @brief Getter for internal storage of quadrature points - * + * * Const variant. * * @returns A const reference to internal point storage */ - const auto& points() const { return points_; } + const auto& points() const { return points_; } /** * @brief Getter for internal storage of quadrature points - * + * * Non-const variant. * * @returns A non-const reference to internal point storage */ - auto& points() { return points_; } + auto& points() { return points_; } /** * @brief Getter for internal storage of quadrature weights - * + * * Const variant. * * @returns A const reference to internal weight storage @@ -68,36 +62,34 @@ class QuadratureBase { /** * @brief Getter for internal storage of quadrature weights - * + * * Non-const variant. * * @returns A non-const reference to internal weight storage */ - auto& weights() { return weights_; } - - + auto& weights() { return weights_; } /** * @brief Obtain a pointer for underlying quadrature point storage - * + * * Const variant. * * @returns A const pointer to quadrature point storage */ - const auto* points_data() const { return points_.data(); } + const auto* points_data() const { return points_.data(); } /** * @brief Obtain a pointer for underlying quadrature point storage - * + * * Non-const variant. * * @returns A non-const pointer to quadrature point storage */ - auto* points_data() { return points_.data(); } + auto* points_data() { return points_.data(); } /** * @brief Obtain a pointer for underlying quadrature weight storage - * + * * Const variant. * * @returns A const pointer to quadrature weight storage @@ -106,19 +98,12 @@ class QuadratureBase { /** * @brief Obtain a pointer for underlying quadrature weight storage - * + * * Non-const variant. * * @returns A non-const pointer to quadrature weight storage */ - auto* weights_data() { return weights_.data(); } - - - - - - - + auto* weights_data() { return weights_.data(); } /** * @brief Obtain number of points in implemented quadrature @@ -126,7 +111,6 @@ class QuadratureBase { */ size_t npts() const { return points_.size(); } - /** * @brief Obtain a copy of a particular quadrature point * @@ -136,7 +120,7 @@ class QuadratureBase { * @param[in] i Point index of desired quadrature point * @returns Quadrature point at index i */ - point_type points(size_t i) const { return points_.at(i); } + point_type points(size_t i) const { return points_.at(i); } /** * @brief Obtain a copy of a particular quadrature weight @@ -148,59 +132,47 @@ class QuadratureBase { * @returns Quadrature weight at index i */ weight_type weights(size_t i) const { return weights_.at(i); } - }; /** - * @brief Quadrature base class: Provides minimal storage and user interface + * @brief Quadrature base class: Provides minimal storage and user interface * for quadrature manipulation * * @tparam DerivedQuadrature Implemented quadrature type, must admit template * specialization for quadrature_traits */ template -class Quadrature : public - QuadratureBase< - typename quadrature_traits::point_container, - typename quadrature_traits::weight_container - > { - -private: - +class Quadrature : public QuadratureBase< + typename quadrature_traits::point_container, + typename quadrature_traits::weight_container> { + private: using derived_traits = quadrature_traits; -public: - - using point_type = typename derived_traits::point_type; + public: + using point_type = typename derived_traits::point_type; using weight_type = typename derived_traits::weight_type; - using point_container = typename derived_traits::point_container; + using point_container = typename derived_traits::point_container; using weight_container = typename derived_traits::weight_container; -private: - - using base_type = QuadratureBase< point_container, weight_container >; + private: + using base_type = QuadratureBase; template - inline static constexpr auto - generate( Args&&... args ) { - return derived_traits::generate( std::forward(args)... ); + inline static constexpr auto generate(Args&&... args) { + return derived_traits::generate(std::forward(args)...); } + protected: + using quadrature_return_type = std::tuple; -protected: - - using quadrature_return_type = - std::tuple; - - Quadrature( const quadrature_return_type& q ) : - base_type( std::get<0>(q), std::get<1>(q) ) { } + Quadrature(const quadrature_return_type& q) + : base_type(std::get<0>(q), std::get<1>(q)) {} - Quadrature( quadrature_return_type&& q ) : - base_type( std::move(std::get<0>(q)), std::move(std::get<1>(q)) ) { } - -public: + Quadrature(quadrature_return_type&& q) + : base_type(std::move(std::get<0>(q)), std::move(std::get<1>(q))) {} + public: /** * @brief Construct a Quadrature object from options. * @@ -213,27 +185,24 @@ class Quadrature : public * */ template , std::decay_t... >::value and - detail::all_are_not< Derived , std::decay_t... >::value - > - > - Quadrature( Args&&... args ) : - Quadrature( generate( std::forward(args)... ) ) { } - + typename = std::enable_if_t< + // Disable generic construction for copy/move to and from base + // type + detail::all_are_not, + std::decay_t...>::value and + detail::all_are_not...>::value>> + Quadrature(Args&&... args) + : Quadrature(generate(std::forward(args)...)) {} // Default copy and move ctors - Quadrature( const Quadrature& ) = default; - Quadrature( Quadrature&& ) noexcept = default; - - Quadrature( const Derived& d ) : - Quadrature( dynamic_cast(d) ) { } - Quadrature( Derived&& d ) noexcept : - Quadrature( dynamic_cast(std::move(d)) ) { } + Quadrature(const Quadrature&) = default; + Quadrature(Quadrature&&) noexcept = default; + Quadrature(const Derived& d) + : Quadrature(dynamic_cast(d)) {} + Quadrature(Derived&& d) noexcept + : Quadrature(dynamic_cast(std::move(d))) {} }; - -} +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/gausscheby1.hpp b/include/integratorxx/quadratures/gausscheby1.hpp index c9b28b7..caa4166 100644 --- a/include/integratorxx/quadratures/gausscheby1.hpp +++ b/include/integratorxx/quadratures/gausscheby1.hpp @@ -1,6 +1,7 @@ #pragma once #include +#include namespace IntegratorXX { @@ -31,11 +32,9 @@ namespace IntegratorXX { template class GaussChebyshev1 : public Quadrature> { + using base_type = Quadrature>; - using base_type = - Quadrature>; - -public: + public: using point_type = typename base_type::point_type; using weight_type = typename base_type::weight_type; using point_container = typename base_type::point_container; @@ -50,33 +49,31 @@ class GaussChebyshev1 template struct quadrature_traits> { - using point_type = PointType; using weight_type = WeightType; using point_container = std::vector; using weight_container = std::vector; - inline static std::tuple - generate(size_t npts, point_type lo, point_type up) { - + inline static std::tuple generate( + size_t npts, point_type lo, point_type up) { point_container points(npts); weight_container weights(npts); const weight_type pi_ov_npts = M_PI / npts; const weight_type two_npts_x_pi = 2 * npts * M_PI; - for (size_t i = 0; i < npts; ++i) { + for(size_t i = 0; i < npts; ++i) { // The standard nodes and weights are given by points[i] = std::cos((2.0 * (i + 1) - 1.) / two_npts_x_pi); weights[i] = pi_ov_npts; - + // However, as we're integrating f(x) not \frac{f(x)}{\sqrt{1 - // x^2}}, we must factor the \sqrt{1-x^2} into the weight - weights[i] *= std::sqrt(1. - std::pow(points[i],2)); + weights[i] *= std::sqrt(1. - std::pow(points[i], 2)); } return std::make_tuple(points, weights); } }; -} // namespace IntegratorXX +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/gausscheby2.hpp b/include/integratorxx/quadratures/gausscheby2.hpp index aaefbe2..de71734 100644 --- a/include/integratorxx/quadratures/gausscheby2.hpp +++ b/include/integratorxx/quadratures/gausscheby2.hpp @@ -32,10 +32,9 @@ namespace IntegratorXX { template class GaussChebyshev2 : public Quadrature> { - using base_type = Quadrature>; -public: + public: using point_type = typename base_type::point_type; using weight_type = typename base_type::weight_type; using point_container = typename base_type::point_container; @@ -50,21 +49,19 @@ class GaussChebyshev2 template struct quadrature_traits> { - using point_type = PointType; using weight_type = WeightType; using point_container = std::vector; using weight_container = std::vector; - inline static std::tuple - generate(size_t npts, point_type lo, point_type up) { - + inline static std::tuple generate( + size_t npts, point_type lo, point_type up) { const weight_type pi_ov_npts_p_1 = M_PI / (npts + 1); weight_container weights(npts); point_container points(npts); - for (size_t i = 0; i < npts; ++i) { + for(size_t i = 0; i < npts; ++i) { // The standard nodes and weights are given by points[i] = std::cos((i + 1) * pi_ov_npts_p_1); weights[i] = @@ -79,4 +76,4 @@ struct quadrature_traits> { } }; -} // namespace IntegratorXX +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/gausscheby2_mod.hpp b/include/integratorxx/quadratures/gausscheby2_mod.hpp index d793cfe..971d20a 100644 --- a/include/integratorxx/quadratures/gausscheby2_mod.hpp +++ b/include/integratorxx/quadratures/gausscheby2_mod.hpp @@ -35,10 +35,9 @@ namespace IntegratorXX { template class GaussChebyshev2Modified : public Quadrature> { - using base_type = Quadrature>; -public: + public: using point_type = typename base_type::point_type; using weight_type = typename base_type::weight_type; using point_container = typename base_type::point_container; @@ -53,21 +52,19 @@ class GaussChebyshev2Modified template struct quadrature_traits> { - using point_type = PointType; using weight_type = WeightType; using point_container = std::vector; using weight_container = std::vector; - inline static std::tuple - generate(size_t npts, point_type lo, point_type up) { - + inline static std::tuple generate( + size_t npts, point_type lo, point_type up) { const weight_type oonpp = 1.0 / (npts + 1); point_container points(npts); weight_container weights(npts); - for (size_t i = 1; i <= npts; ++i) { + for(size_t i = 1; i <= npts; ++i) { auto sine = sin(i * M_PI * oonpp); auto sinesq = sine * sine; auto cosine = cos(i * M_PI * oonpp); @@ -81,4 +78,4 @@ struct quadrature_traits> { } }; -} // namespace IntegratorXX +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/gausscheby3.hpp b/include/integratorxx/quadratures/gausscheby3.hpp index 49137c7..2e068dd 100644 --- a/include/integratorxx/quadratures/gausscheby3.hpp +++ b/include/integratorxx/quadratures/gausscheby3.hpp @@ -13,7 +13,8 @@ namespace IntegratorXX { * * The original nodes and weights from the rule are given by * - * \f{eqnarray*}{ x_{i} = & \cos^2 \displaystyle \frac {(2i-1) \pi} {2(2n+1)} \\ w_{i} = & \displaystyle \frac {2 \pi} {2n+1} x_i \f} + * \f{eqnarray*}{ x_{i} = & \cos^2 \displaystyle \frac {(2i-1) \pi} {2(2n+1)} + * \\ w_{i} = & \displaystyle \frac {2 \pi} {2n+1} x_i \f} * * Reference: * Abramowitz and Stegun, Handbook of Mathematical Functions with @@ -30,10 +31,9 @@ namespace IntegratorXX { template class GaussChebyshev3 : public Quadrature> { - using base_type = Quadrature>; -public: + public: using point_type = typename base_type::point_type; using weight_type = typename base_type::weight_type; using point_container = typename base_type::point_container; @@ -48,31 +48,29 @@ class GaussChebyshev3 template struct quadrature_traits> { - using point_type = PointType; using weight_type = WeightType; using point_container = std::vector; using weight_container = std::vector; - inline static std::tuple - generate(size_t npts, point_type lo, point_type up) { - - const weight_type pi_ov_2n_p_1 = M_PI / (2*npts + 1); + inline static std::tuple generate( + size_t npts, point_type lo, point_type up) { + const weight_type pi_ov_2n_p_1 = M_PI / (2 * npts + 1); weight_container weights(npts); point_container points(npts); - for (size_t i = 1; i <= npts; ++i) { + for(size_t i = 1; i <= npts; ++i) { // The standard nodes and weights are given by - points[i] = std::cos(0.5 * (2*i - 1) * pi_ov_2n_p_1); - weights[i] = 2.0*pi_ov_2n_p_1 * points[i]; + points[i] = std::cos(0.5 * (2 * i - 1) * pi_ov_2n_p_1); + weights[i] = 2.0 * pi_ov_2n_p_1 * points[i]; // However, since we want the rule with a unit weight factor, we // divide the weights by sqrt((1-x)/x). - weights[i] /= std::sqrt((1.0 - points[i])/points[i]); + weights[i] /= std::sqrt((1.0 - points[i]) / points[i]); // Finally, convert from [0,1] to [-1,1] - points[i] = 2*points[i] - 1.0; + points[i] = 2 * points[i] - 1.0; weights[i] *= 2.0; } @@ -80,5 +78,4 @@ struct quadrature_traits> { } }; - -} // namespace IntegratorXX +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/gausslegendre.hpp b/include/integratorxx/quadratures/gausslegendre.hpp index 2a05289..3aa1aa2 100644 --- a/include/integratorxx/quadratures/gausslegendre.hpp +++ b/include/integratorxx/quadratures/gausslegendre.hpp @@ -1,108 +1,93 @@ #pragma once +#include #include #include +#include namespace IntegratorXX { - template -class GaussLegendre : - public Quadrature> { - - using base_type = Quadrature>; - -public: +class GaussLegendre : public Quadrature> { + using base_type = Quadrature>; - using point_type = typename base_type::point_type; - using weight_type = typename base_type::weight_type; - using point_container = typename base_type::point_container; + public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; using weight_container = typename base_type::weight_container; - - GaussLegendre(size_t npts, point_type lo, point_type up): - base_type( npts, lo, up ) { } - - GaussLegendre( const GaussLegendre& ) = default; - GaussLegendre( GaussLegendre&& ) noexcept = default; -}; - - - - + GaussLegendre(size_t npts, point_type lo, point_type up) + : base_type(npts, lo, up) {} + GaussLegendre(const GaussLegendre&) = default; + GaussLegendre(GaussLegendre&&) noexcept = default; +}; template -struct quadrature_traits< - GaussLegendre -> { - - using point_type = PointType; +struct quadrature_traits> { + using point_type = PointType; using weight_type = WeightType; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; - - inline static std::tuple - generate( size_t npts, point_type lo, point_type up ) { + using point_container = std::vector; + using weight_container = std::vector; - assert( npts % 2 == 0 ); - assert( lo != -std::numeric_limits::infinity() ); - assert( up != std::numeric_limits::infinity() ); + inline static std::tuple generate( + size_t npts, point_type lo, point_type up) { + assert(npts % 2 == 0); + assert(lo != -std::numeric_limits::infinity()); + assert(up != std::numeric_limits::infinity()); - point_container points( npts ); - weight_container weights( npts ); + point_container points(npts); + weight_container weights(npts); const size_t mid = (npts + 1) / 2; - const double eps = 3.e-11; // Convergence tolerance - - for( size_t i = 1; i <= mid; ++i ) { + const double eps = 3.e-11; // Convergence tolerance + for(size_t i = 1; i <= mid; ++i) { const point_type ip = i; - point_type z = std::cos( M_PI * (ip - 0.25) / (npts + 0.5)); + point_type z = std::cos(M_PI * (ip - 0.25) / (npts + 0.5)); point_type pp(0), z1(0); - // Iteratively determine the i-th root - while(std::abs(z-z1) > eps) { + // Iteratively determine the i-th root + while(std::abs(z - z1) > eps) { point_type p1(1.), p2(0.); - + // Loop over the recurrence relation to evaluate the // Legendre polynomial at position z - for( size_t j = 1; j <= npts; ++j ){ + for(size_t j = 1; j <= npts; ++j) { const point_type jp = j; point_type p3 = p2; - p2 = p1; - p1 = ( (2. * jp - 1.) * z * p2 - (jp - 1.) * p3) / jp; - } // end j for - - // p1 is now the desired Legrendre polynomial. We next compute + p2 = p1; + p1 = ((2. * jp - 1.) * z * p2 - (jp - 1.) * p3) / jp; + } // end j for + + // p1 is now the desired Legrendre polynomial. We next compute // pp, its derivative, by a standard relation involving also p2, // the polynomial of one lower order pp = npts * (z * p1 - p2) / (z * z - 1.); z1 = z; - z = z1 - p1 / pp; - } // end while - - point_type pt = z; - weight_type wgt = 2. / (1. - z*z) / pp / pp; + z = z1 - p1 / pp; + } // end while + + point_type pt = z; + weight_type wgt = 2. / (1. - z * z) / pp / pp; // Transform points and populate arrays - std::tie(pt,wgt) = transform_minus_one_to_one(lo,up,pt,wgt); - points[i-1] = pt; - weights[i-1] = wgt; + std::tie(pt, wgt) = transform_minus_one_to_one(lo, up, pt, wgt); + points[i - 1] = pt; + weights[i - 1] = wgt; // Reflect the points - points[npts-i] = (lo + up) - pt; - weights[npts-i] = wgt; + points[npts - i] = (lo + up) - pt; + weights[npts - i] = wgt; - }; // Loop over points - - return std::make_tuple( points, weights ); + }; // Loop over points + return std::make_tuple(points, weights); } - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov.hpp b/include/integratorxx/quadratures/lebedev_laikov.hpp index fc5f2f8..0b36fd4 100644 --- a/include/integratorxx/quadratures/lebedev_laikov.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov.hpp @@ -6,240 +6,319 @@ namespace IntegratorXX { namespace detail { - template - void copy_grid( PointContainer& points, WeightsContainer& weights ){ +template +void copy_grid(PointContainer& points, WeightsContainer& weights) { + const auto& static_points = StaticGrid::points; + const auto& static_weights = StaticGrid::weights; - const auto& static_points = StaticGrid::points; - const auto& static_weights = StaticGrid::weights; - - std::copy( static_points.begin(), static_points.end(), points.begin() ); - std::copy( static_weights.begin(), static_weights.end(), weights.begin() ); - - } + std::copy(static_points.begin(), static_points.end(), points.begin()); + std::copy(static_weights.begin(), static_weights.end(), weights.begin()); } +} // namespace detail template -class LebedevLaikov : - public Quadrature> { - +class LebedevLaikov : public Quadrature> { using base_type = Quadrature>; -public: - - using point_type = typename base_type::point_type; - using weight_type = typename base_type::weight_type; - using point_container = typename base_type::point_container; + public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; using weight_container = typename base_type::weight_container; - - LebedevLaikov(size_t npts): base_type( npts ) { } - LebedevLaikov( const LebedevLaikov& ) = default; - LebedevLaikov( LebedevLaikov&& ) noexcept = default; -}; + LebedevLaikov(size_t npts) : base_type(npts) {} + LebedevLaikov(const LebedevLaikov&) = default; + LebedevLaikov(LebedevLaikov&&) noexcept = default; +}; template -struct quadrature_traits< LebedevLaikov > { - - using point_type = cartesian_pt_t; +struct quadrature_traits> { + using point_type = cartesian_pt_t; using weight_type = RealType; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; + using point_container = std::vector; + using weight_container = std::vector; - inline static std::tuple - generate( size_t npts ) { - - point_container points( npts ); - weight_container weights( npts ); + inline static std::tuple generate( + size_t npts) { + point_container points(npts); + weight_container weights(npts); using namespace LebedevLaikovGrids; - if( npts == 6 ) - detail::copy_grid>( points, weights ); - else if( npts == 14 ) - detail::copy_grid>( points, weights ); - else if( npts == 26 ) - detail::copy_grid>( points, weights ); - else if( npts == 38 ) - detail::copy_grid>( points, weights ); - else if( npts == 50 ) - detail::copy_grid>( points, weights ); - else if( npts == 74 ) - detail::copy_grid>( points, weights ); - else if( npts == 86 ) - detail::copy_grid>( points, weights ); - else if( npts == 110 ) - detail::copy_grid>( points, weights ); - else if( npts == 146 ) - detail::copy_grid>( points, weights ); - else if( npts == 170 ) - detail::copy_grid>( points, weights ); - else if( npts == 194 ) - detail::copy_grid>( points, weights ); - else if( npts == 230 ) - detail::copy_grid>( points, weights ); - else if( npts == 266 ) - detail::copy_grid>( points, weights ); - else if( npts == 302 ) - detail::copy_grid>( points, weights ); - else if( npts == 350 ) - detail::copy_grid>( points, weights ); - else if( npts == 434 ) - detail::copy_grid>( points, weights ); - else if( npts == 590 ) - detail::copy_grid>( points, weights ); - else if( npts == 770 ) - detail::copy_grid>( points, weights ); - else if( npts == 974 ) - detail::copy_grid>( points, weights ); - else if( npts == 1202 ) - detail::copy_grid>( points, weights ); - else if( npts == 1454 ) - detail::copy_grid>( points, weights ); - else if( npts == 1730 ) - detail::copy_grid>( points, weights ); - else if( npts == 2030 ) - detail::copy_grid>( points, weights ); - else if( npts == 2354 ) - detail::copy_grid>( points, weights ); - else if( npts == 2702 ) - detail::copy_grid>( points, weights ); - else if( npts == 3074 ) - detail::copy_grid>( points, weights ); - else if( npts == 3470 ) - detail::copy_grid>( points, weights ); - else if( npts == 3890 ) - detail::copy_grid>( points, weights ); - else if( npts == 4334 ) - detail::copy_grid>( points, weights ); - else if( npts == 4802 ) - detail::copy_grid>( points, weights ); - else if( npts == 5810 ) - detail::copy_grid>( points, weights ); - - return std::make_tuple( points, weights ); + if(npts == 6) + detail::copy_grid>(points, weights); + else if(npts == 14) + detail::copy_grid>(points, weights); + else if(npts == 26) + detail::copy_grid>(points, weights); + else if(npts == 38) + detail::copy_grid>(points, weights); + else if(npts == 50) + detail::copy_grid>(points, weights); + else if(npts == 74) + detail::copy_grid>(points, weights); + else if(npts == 86) + detail::copy_grid>(points, weights); + else if(npts == 110) + detail::copy_grid>(points, weights); + else if(npts == 146) + detail::copy_grid>(points, weights); + else if(npts == 170) + detail::copy_grid>(points, weights); + else if(npts == 194) + detail::copy_grid>(points, weights); + else if(npts == 230) + detail::copy_grid>(points, weights); + else if(npts == 266) + detail::copy_grid>(points, weights); + else if(npts == 302) + detail::copy_grid>(points, weights); + else if(npts == 350) + detail::copy_grid>(points, weights); + else if(npts == 434) + detail::copy_grid>(points, weights); + else if(npts == 590) + detail::copy_grid>(points, weights); + else if(npts == 770) + detail::copy_grid>(points, weights); + else if(npts == 974) + detail::copy_grid>(points, weights); + else if(npts == 1202) + detail::copy_grid>(points, weights); + else if(npts == 1454) + detail::copy_grid>(points, weights); + else if(npts == 1730) + detail::copy_grid>(points, weights); + else if(npts == 2030) + detail::copy_grid>(points, weights); + else if(npts == 2354) + detail::copy_grid>(points, weights); + else if(npts == 2702) + detail::copy_grid>(points, weights); + else if(npts == 3074) + detail::copy_grid>(points, weights); + else if(npts == 3470) + detail::copy_grid>(points, weights); + else if(npts == 3890) + detail::copy_grid>(points, weights); + else if(npts == 4334) + detail::copy_grid>(points, weights); + else if(npts == 4802) + detail::copy_grid>(points, weights); + else if(npts == 5810) + detail::copy_grid>(points, weights); + return std::make_tuple(points, weights); } }; namespace detail::lebedev { - inline static int64_t npts_by_algebraic_order(int64_t order) { - - switch(order) { - case 3 : return 6 ; - case 5 : return 14 ; - case 7 : return 26 ; - case 9 : return 38 ; - case 11 : return 50 ; - case 13 : return 74 ; - case 15 : return 86 ; - case 17 : return 110 ; - case 19 : return 146 ; - case 21 : return 170 ; - case 23 : return 194 ; - case 25 : return 230 ; - case 27 : return 266 ; - case 29 : return 302 ; - case 31 : return 350 ; - case 35 : return 434 ; - case 41 : return 590 ; - case 47 : return 770 ; - case 53 : return 974 ; - case 59 : return 1202 ; - case 65 : return 1454 ; - case 71 : return 1730 ; - case 77 : return 2030 ; - case 83 : return 2354 ; - case 89 : return 2702 ; - case 95 : return 3074 ; - case 101: return 3470 ; - case 107: return 3890 ; - case 113: return 4334 ; - case 119: return 4802 ; - case 131: return 5810 ; - default: return -1; - } - +inline static int64_t npts_by_algebraic_order(int64_t order) { + switch(order) { + case 3: + return 6; + case 5: + return 14; + case 7: + return 26; + case 9: + return 38; + case 11: + return 50; + case 13: + return 74; + case 15: + return 86; + case 17: + return 110; + case 19: + return 146; + case 21: + return 170; + case 23: + return 194; + case 25: + return 230; + case 27: + return 266; + case 29: + return 302; + case 31: + return 350; + case 35: + return 434; + case 41: + return 590; + case 47: + return 770; + case 53: + return 974; + case 59: + return 1202; + case 65: + return 1454; + case 71: + return 1730; + case 77: + return 2030; + case 83: + return 2354; + case 89: + return 2702; + case 95: + return 3074; + case 101: + return 3470; + case 107: + return 3890; + case 113: + return 4334; + case 119: + return 4802; + case 131: + return 5810; + default: + return -1; } +} - inline static int64_t algebraic_order_by_npts(int64_t npts) { - - switch(npts) { - case 6 : return 3 ; - case 14 : return 5 ; - case 26 : return 7 ; - case 38 : return 9 ; - case 50 : return 11 ; - case 74 : return 13 ; - case 86 : return 15 ; - case 110 : return 17 ; - case 146 : return 19 ; - case 170 : return 21 ; - case 194 : return 23 ; - case 230 : return 25 ; - case 266 : return 27 ; - case 302 : return 29 ; - case 350 : return 31 ; - case 434 : return 35 ; - case 590 : return 41 ; - case 770 : return 47 ; - case 974 : return 53 ; - case 1202: return 59 ; - case 1454: return 65 ; - case 1730: return 71 ; - case 2030: return 77 ; - case 2354: return 83 ; - case 2702: return 89 ; - case 3074: return 95 ; - case 3470: return 101 ; - case 3890: return 107 ; - case 4334: return 113 ; - case 4802: return 119 ; - case 5810: return 131 ; - default: return -1; - } - - } - - - inline static int64_t next_algebraic_order(int64_t order) { - - if( order <= 3 ) return 3 ; - else if( order <= 5 ) return 5 ; - else if( order <= 7 ) return 7 ; - else if( order <= 9 ) return 9 ; - else if( order <= 11 ) return 11 ; - else if( order <= 13 ) return 13 ; - else if( order <= 15 ) return 15 ; - else if( order <= 17 ) return 17 ; - else if( order <= 19 ) return 19 ; - else if( order <= 21 ) return 21 ; - else if( order <= 23 ) return 23 ; - else if( order <= 25 ) return 25 ; - else if( order <= 27 ) return 27 ; - else if( order <= 29 ) return 29 ; - else if( order <= 31 ) return 31 ; - else if( order <= 35 ) return 35 ; - else if( order <= 41 ) return 41 ; - else if( order <= 47 ) return 47 ; - else if( order <= 53 ) return 53 ; - else if( order <= 59 ) return 59 ; - else if( order <= 65 ) return 65 ; - else if( order <= 71 ) return 71 ; - else if( order <= 77 ) return 77 ; - else if( order <= 83 ) return 83 ; - else if( order <= 89 ) return 89 ; - else if( order <= 95 ) return 95 ; - else if( order <= 101) return 101; - else if( order <= 107) return 107; - else if( order <= 113) return 113; - else if( order <= 119) return 119; - else return 131; - +inline static int64_t algebraic_order_by_npts(int64_t npts) { + switch(npts) { + case 6: + return 3; + case 14: + return 5; + case 26: + return 7; + case 38: + return 9; + case 50: + return 11; + case 74: + return 13; + case 86: + return 15; + case 110: + return 17; + case 146: + return 19; + case 170: + return 21; + case 194: + return 23; + case 230: + return 25; + case 266: + return 27; + case 302: + return 29; + case 350: + return 31; + case 434: + return 35; + case 590: + return 41; + case 770: + return 47; + case 974: + return 53; + case 1202: + return 59; + case 1454: + return 65; + case 1730: + return 71; + case 2030: + return 77; + case 2354: + return 83; + case 2702: + return 89; + case 3074: + return 95; + case 3470: + return 101; + case 3890: + return 107; + case 4334: + return 113; + case 4802: + return 119; + case 5810: + return 131; + default: + return -1; } - } +inline static int64_t next_algebraic_order(int64_t order) { + if(order <= 3) + return 3; + else if(order <= 5) + return 5; + else if(order <= 7) + return 7; + else if(order <= 9) + return 9; + else if(order <= 11) + return 11; + else if(order <= 13) + return 13; + else if(order <= 15) + return 15; + else if(order <= 17) + return 17; + else if(order <= 19) + return 19; + else if(order <= 21) + return 21; + else if(order <= 23) + return 23; + else if(order <= 25) + return 25; + else if(order <= 27) + return 27; + else if(order <= 29) + return 29; + else if(order <= 31) + return 31; + else if(order <= 35) + return 35; + else if(order <= 41) + return 41; + else if(order <= 47) + return 47; + else if(order <= 53) + return 53; + else if(order <= 59) + return 59; + else if(order <= 65) + return 65; + else if(order <= 71) + return 71; + else if(order <= 77) + return 77; + else if(order <= 83) + return 83; + else if(order <= 89) + return 89; + else if(order <= 95) + return 95; + else if(order <= 101) + return 101; + else if(order <= 107) + return 107; + else if(order <= 113) + return 113; + else if(order <= 119) + return 119; + else + return 131; } + +} // namespace detail::lebedev + +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_110.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_110.hpp index 5ccd483..e40375d 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_110.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_110.hpp @@ -5,237 +5,160 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 110 - * + * */ template struct lebedev_laikov_110 { + static constexpr std::array, 110> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, + -1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, + 1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, + -1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, + 1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, + -1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, + 1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, + -1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, + 1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, + -1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, + 1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, + -1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, + 1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, + -1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, + 1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, + -1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, + 9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, + -9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, + 9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, + -9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, + 9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, + -9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, + 9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, + -9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, + 6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, + -6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, + 6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, + -6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, + 6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, + -6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, + 6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, + -6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, + 6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, + -6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, + 6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, + -6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, + 6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, + -6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, + 6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, + -6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, + 2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, + -2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, + 2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, + -2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, + 2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, + -2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, + 2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, + -2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, + 3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, + -3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, + 3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, + -3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, + 3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, + -3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, + 3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, + -3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, + 3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, + -3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, + 3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, + -3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, + 3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, + -3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, + 3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, + -3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, + 8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, + -8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, + 8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, + -8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, + 8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, + -8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, + 8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, + -8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, + 4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, + -4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, + 4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, + -4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, + 8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, + -8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, + 8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, + -8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, + 4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, + -4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, + 4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, + -4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, + 8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, + -8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, + 8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, + -8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, + 0.000000000000000e+00, 4.783690288121502e-01, 8.781589106040661e-01, + 0.000000000000000e+00, -4.783690288121502e-01, 8.781589106040661e-01, + 0.000000000000000e+00, 4.783690288121502e-01, -8.781589106040661e-01, + 0.000000000000000e+00, -4.783690288121502e-01, -8.781589106040661e-01, + 0.000000000000000e+00, 8.781589106040661e-01, 4.783690288121502e-01, + 0.000000000000000e+00, -8.781589106040661e-01, 4.783690288121502e-01, + 0.000000000000000e+00, 8.781589106040661e-01, -4.783690288121502e-01, + 0.000000000000000e+00, -8.781589106040661e-01, -4.783690288121502e-01}; - static constexpr std::array,110> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, - -1.851156353447362e-01, 1.851156353447362e-01, 9.651240350865941e-01, - 1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, - -1.851156353447362e-01, -1.851156353447362e-01, 9.651240350865941e-01, - 1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, - -1.851156353447362e-01, 1.851156353447362e-01, -9.651240350865941e-01, - 1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, - -1.851156353447362e-01, -1.851156353447362e-01, -9.651240350865941e-01, - 1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, - -1.851156353447362e-01, 9.651240350865941e-01, 1.851156353447362e-01, - 1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, - -1.851156353447362e-01, -9.651240350865941e-01, 1.851156353447362e-01, - 1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, - -1.851156353447362e-01, 9.651240350865941e-01, -1.851156353447362e-01, - 1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, - -1.851156353447362e-01, -9.651240350865941e-01, -1.851156353447362e-01, - 9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, - -9.651240350865941e-01, 1.851156353447362e-01, 1.851156353447362e-01, - 9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, - -9.651240350865941e-01, -1.851156353447362e-01, 1.851156353447362e-01, - 9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, - -9.651240350865941e-01, 1.851156353447362e-01, -1.851156353447362e-01, - 9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, - -9.651240350865941e-01, -1.851156353447362e-01, -1.851156353447362e-01, - 6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, - -6.904210483822922e-01, 6.904210483822922e-01, 2.159572918458484e-01, - 6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, - -6.904210483822922e-01, -6.904210483822922e-01, 2.159572918458484e-01, - 6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, - -6.904210483822922e-01, 6.904210483822922e-01, -2.159572918458484e-01, - 6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, - -6.904210483822922e-01, -6.904210483822922e-01, -2.159572918458484e-01, - 6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, - -6.904210483822922e-01, 2.159572918458484e-01, 6.904210483822922e-01, - 6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, - -6.904210483822922e-01, -2.159572918458484e-01, 6.904210483822922e-01, - 6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, - -6.904210483822922e-01, 2.159572918458484e-01, -6.904210483822922e-01, - 6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, - -6.904210483822922e-01, -2.159572918458484e-01, -6.904210483822922e-01, - 2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, - -2.159572918458484e-01, 6.904210483822922e-01, 6.904210483822922e-01, - 2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, - -2.159572918458484e-01, -6.904210483822922e-01, 6.904210483822922e-01, - 2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, - -2.159572918458484e-01, 6.904210483822922e-01, -6.904210483822922e-01, - 2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, - -2.159572918458484e-01, -6.904210483822922e-01, -6.904210483822922e-01, - 3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, - -3.956894730559419e-01, 3.956894730559419e-01, 8.287699812525923e-01, - 3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, - -3.956894730559419e-01, -3.956894730559419e-01, 8.287699812525923e-01, - 3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, - -3.956894730559419e-01, 3.956894730559419e-01, -8.287699812525923e-01, - 3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, - -3.956894730559419e-01, -3.956894730559419e-01, -8.287699812525923e-01, - 3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, - -3.956894730559419e-01, 8.287699812525923e-01, 3.956894730559419e-01, - 3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, - -3.956894730559419e-01, -8.287699812525923e-01, 3.956894730559419e-01, - 3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, - -3.956894730559419e-01, 8.287699812525923e-01, -3.956894730559419e-01, - 3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, - -3.956894730559419e-01, -8.287699812525923e-01, -3.956894730559419e-01, - 8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, - -8.287699812525923e-01, 3.956894730559419e-01, 3.956894730559419e-01, - 8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, - -8.287699812525923e-01, -3.956894730559419e-01, 3.956894730559419e-01, - 8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, - -8.287699812525923e-01, 3.956894730559419e-01, -3.956894730559419e-01, - 8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, - -8.287699812525923e-01, -3.956894730559419e-01, -3.956894730559419e-01, - 4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, - -4.783690288121502e-01, 8.781589106040661e-01, 0.000000000000000e+00, - 4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, - -4.783690288121502e-01, -8.781589106040661e-01, 0.000000000000000e+00, - 8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, - -8.781589106040661e-01, 4.783690288121502e-01, 0.000000000000000e+00, - 8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, - -8.781589106040661e-01, -4.783690288121502e-01, 0.000000000000000e+00, - 4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, - -4.783690288121502e-01, 0.000000000000000e+00, 8.781589106040661e-01, - 4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, - -4.783690288121502e-01, 0.000000000000000e+00, -8.781589106040661e-01, - 8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, - -8.781589106040661e-01, 0.000000000000000e+00, 4.783690288121502e-01, - 8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, - -8.781589106040661e-01, 0.000000000000000e+00, -4.783690288121502e-01, - 0.000000000000000e+00, 4.783690288121502e-01, 8.781589106040661e-01, - 0.000000000000000e+00, -4.783690288121502e-01, 8.781589106040661e-01, - 0.000000000000000e+00, 4.783690288121502e-01, -8.781589106040661e-01, - 0.000000000000000e+00, -4.783690288121502e-01, -8.781589106040661e-01, - 0.000000000000000e+00, 8.781589106040661e-01, 4.783690288121502e-01, - 0.000000000000000e+00, -8.781589106040661e-01, 4.783690288121502e-01, - 0.000000000000000e+00, 8.781589106040661e-01, -4.783690288121502e-01, - 0.000000000000000e+00, -8.781589106040661e-01, -4.783690288121502e-01 - }; - - - static constexpr std::array weights = { - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 3.828270494937162e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 9.793737512487513e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 8.211737283191111e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.942814891178103e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.595471336070962e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03, - 9.694996361663029e-03 - }; + static constexpr std::array weights = { + 3.828270494937162e-03, 3.828270494937162e-03, 3.828270494937162e-03, + 3.828270494937162e-03, 3.828270494937162e-03, 3.828270494937162e-03, + 9.793737512487513e-03, 9.793737512487513e-03, 9.793737512487513e-03, + 9.793737512487513e-03, 9.793737512487513e-03, 9.793737512487513e-03, + 9.793737512487513e-03, 9.793737512487513e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 8.211737283191111e-03, + 8.211737283191111e-03, 8.211737283191111e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.942814891178103e-03, + 9.942814891178103e-03, 9.942814891178103e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.595471336070962e-03, + 9.595471336070962e-03, 9.595471336070962e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03, 9.694996361663029e-03, + 9.694996361663029e-03, 9.694996361663029e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1202.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1202.hpp index 38b353b..c3bb285 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1202.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1202.hpp @@ -5,2421 +5,1616 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 1202 - * + * */ template struct lebedev_laikov_1202 { + static constexpr std::array, 1202> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 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9.986206817999193e-01, 3.712636449657089e-02, + -3.712636449657089e-02, 9.986206817999193e-01, 3.712636449657089e-02, + 3.712636449657089e-02, -9.986206817999193e-01, 3.712636449657089e-02, + -3.712636449657089e-02, -9.986206817999193e-01, 3.712636449657089e-02, + 3.712636449657089e-02, 9.986206817999193e-01, -3.712636449657089e-02, + -3.712636449657089e-02, 9.986206817999193e-01, -3.712636449657089e-02, + 3.712636449657089e-02, -9.986206817999193e-01, -3.712636449657089e-02, + -3.712636449657089e-02, -9.986206817999193e-01, -3.712636449657089e-02, + 9.986206817999193e-01, 3.712636449657089e-02, 3.712636449657089e-02, + -9.986206817999193e-01, 3.712636449657089e-02, 3.712636449657089e-02, + 9.986206817999193e-01, -3.712636449657089e-02, 3.712636449657089e-02, + -9.986206817999193e-01, -3.712636449657089e-02, 3.712636449657089e-02, + 9.986206817999193e-01, 3.712636449657089e-02, -3.712636449657089e-02, + -9.986206817999193e-01, 3.712636449657089e-02, -3.712636449657089e-02, + 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4.238644781522338e-01, -5.693702498468441e-01, 7.043837184021765e-01, + -4.238644781522338e-01, -5.693702498468441e-01, 7.043837184021765e-01, + 4.238644781522338e-01, 5.693702498468441e-01, -7.043837184021765e-01, + -4.238644781522338e-01, 5.693702498468441e-01, -7.043837184021765e-01, + 4.238644781522338e-01, -5.693702498468441e-01, -7.043837184021765e-01, + -4.238644781522338e-01, -5.693702498468441e-01, -7.043837184021765e-01}; - static constexpr std::array,1202> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.712636449657089e-02, 3.712636449657089e-02, 9.986206817999193e-01, - -3.712636449657089e-02, 3.712636449657089e-02, 9.986206817999193e-01, - 3.712636449657089e-02, -3.712636449657089e-02, 9.986206817999193e-01, - -3.712636449657089e-02, -3.712636449657089e-02, 9.986206817999193e-01, - 3.712636449657089e-02, 3.712636449657089e-02, -9.986206817999193e-01, - -3.712636449657089e-02, 3.712636449657089e-02, -9.986206817999193e-01, - 3.712636449657089e-02, -3.712636449657089e-02, -9.986206817999193e-01, - -3.712636449657089e-02, -3.712636449657089e-02, -9.986206817999193e-01, - 3.712636449657089e-02, 9.986206817999193e-01, 3.712636449657089e-02, - -3.712636449657089e-02, 9.986206817999193e-01, 3.712636449657089e-02, - 3.712636449657089e-02, -9.986206817999193e-01, 3.712636449657089e-02, - -3.712636449657089e-02, -9.986206817999193e-01, 3.712636449657089e-02, - 3.712636449657089e-02, 9.986206817999193e-01, -3.712636449657089e-02, - -3.712636449657089e-02, 9.986206817999193e-01, -3.712636449657089e-02, - 3.712636449657089e-02, -9.986206817999193e-01, -3.712636449657089e-02, - -3.712636449657089e-02, -9.986206817999193e-01, -3.712636449657089e-02, - 9.986206817999193e-01, 3.712636449657089e-02, 3.712636449657089e-02, - -9.986206817999193e-01, 3.712636449657089e-02, 3.712636449657089e-02, - 9.986206817999193e-01, -3.712636449657089e-02, 3.712636449657089e-02, - -9.986206817999193e-01, -3.712636449657089e-02, 3.712636449657089e-02, - 9.986206817999193e-01, 3.712636449657089e-02, -3.712636449657089e-02, - -9.986206817999193e-01, 3.712636449657089e-02, -3.712636449657089e-02, - 9.986206817999193e-01, -3.712636449657089e-02, -3.712636449657089e-02, - -9.986206817999193e-01, -3.712636449657089e-02, -3.712636449657089e-02, - 9.140060412262223e-02, 9.140060412262223e-02, 9.916107397220139e-01, - -9.140060412262223e-02, 9.140060412262223e-02, 9.916107397220139e-01, - 9.140060412262223e-02, -9.140060412262223e-02, 9.916107397220139e-01, - -9.140060412262223e-02, -9.140060412262223e-02, 9.916107397220139e-01, - 9.140060412262223e-02, 9.140060412262223e-02, -9.916107397220139e-01, - -9.140060412262223e-02, 9.140060412262223e-02, -9.916107397220139e-01, - 9.140060412262223e-02, -9.140060412262223e-02, -9.916107397220139e-01, - -9.140060412262223e-02, -9.140060412262223e-02, -9.916107397220139e-01, - 9.140060412262223e-02, 9.916107397220139e-01, 9.140060412262223e-02, - -9.140060412262223e-02, 9.916107397220139e-01, 9.140060412262223e-02, - 9.140060412262223e-02, -9.916107397220139e-01, 9.140060412262223e-02, - -9.140060412262223e-02, -9.916107397220139e-01, 9.140060412262223e-02, - 9.140060412262223e-02, 9.916107397220139e-01, -9.140060412262223e-02, - -9.140060412262223e-02, 9.916107397220139e-01, -9.140060412262223e-02, - 9.140060412262223e-02, -9.916107397220139e-01, -9.140060412262223e-02, - -9.140060412262223e-02, -9.916107397220139e-01, -9.140060412262223e-02, - 9.916107397220139e-01, 9.140060412262223e-02, 9.140060412262223e-02, - -9.916107397220139e-01, 9.140060412262223e-02, 9.140060412262223e-02, - 9.916107397220139e-01, -9.140060412262223e-02, 9.140060412262223e-02, - -9.916107397220139e-01, -9.140060412262223e-02, 9.140060412262223e-02, - 9.916107397220139e-01, 9.140060412262223e-02, -9.140060412262223e-02, - -9.916107397220139e-01, 9.140060412262223e-02, -9.140060412262223e-02, - 9.916107397220139e-01, -9.140060412262223e-02, -9.140060412262223e-02, - -9.916107397220139e-01, -9.140060412262223e-02, -9.140060412262223e-02, - 1.531077852469906e-01, 1.531077852469906e-01, 9.762766063946851e-01, - -1.531077852469906e-01, 1.531077852469906e-01, 9.762766063946851e-01, - 1.531077852469906e-01, -1.531077852469906e-01, 9.762766063946851e-01, - -1.531077852469906e-01, -1.531077852469906e-01, 9.762766063946851e-01, - 1.531077852469906e-01, 1.531077852469906e-01, -9.762766063946851e-01, - -1.531077852469906e-01, 1.531077852469906e-01, -9.762766063946851e-01, - 1.531077852469906e-01, -1.531077852469906e-01, -9.762766063946851e-01, - -1.531077852469906e-01, -1.531077852469906e-01, -9.762766063946851e-01, - 1.531077852469906e-01, 9.762766063946851e-01, 1.531077852469906e-01, - -1.531077852469906e-01, 9.762766063946851e-01, 1.531077852469906e-01, - 1.531077852469906e-01, -9.762766063946851e-01, 1.531077852469906e-01, - -1.531077852469906e-01, -9.762766063946851e-01, 1.531077852469906e-01, - 1.531077852469906e-01, 9.762766063946851e-01, -1.531077852469906e-01, - -1.531077852469906e-01, 9.762766063946851e-01, -1.531077852469906e-01, - 1.531077852469906e-01, -9.762766063946851e-01, -1.531077852469906e-01, - -1.531077852469906e-01, -9.762766063946851e-01, -1.531077852469906e-01, - 9.762766063946851e-01, 1.531077852469906e-01, 1.531077852469906e-01, - -9.762766063946851e-01, 1.531077852469906e-01, 1.531077852469906e-01, - 9.762766063946851e-01, -1.531077852469906e-01, 1.531077852469906e-01, - -9.762766063946851e-01, -1.531077852469906e-01, 1.531077852469906e-01, - 9.762766063946851e-01, 1.531077852469906e-01, -1.531077852469906e-01, - -9.762766063946851e-01, 1.531077852469906e-01, -1.531077852469906e-01, - 9.762766063946851e-01, -1.531077852469906e-01, -1.531077852469906e-01, - -9.762766063946851e-01, -1.531077852469906e-01, -1.531077852469906e-01, - 2.180928891660612e-01, 2.180928891660612e-01, 9.512470674805785e-01, - -2.180928891660612e-01, 2.180928891660612e-01, 9.512470674805785e-01, - 2.180928891660612e-01, -2.180928891660612e-01, 9.512470674805785e-01, - -2.180928891660612e-01, -2.180928891660612e-01, 9.512470674805785e-01, - 2.180928891660612e-01, 2.180928891660612e-01, -9.512470674805785e-01, - -2.180928891660612e-01, 2.180928891660612e-01, -9.512470674805785e-01, - 2.180928891660612e-01, -2.180928891660612e-01, -9.512470674805785e-01, - -2.180928891660612e-01, -2.180928891660612e-01, -9.512470674805785e-01, - 2.180928891660612e-01, 9.512470674805785e-01, 2.180928891660612e-01, - -2.180928891660612e-01, 9.512470674805785e-01, 2.180928891660612e-01, - 2.180928891660612e-01, -9.512470674805785e-01, 2.180928891660612e-01, - -2.180928891660612e-01, -9.512470674805785e-01, 2.180928891660612e-01, - 2.180928891660612e-01, 9.512470674805785e-01, -2.180928891660612e-01, - -2.180928891660612e-01, 9.512470674805785e-01, -2.180928891660612e-01, - 2.180928891660612e-01, -9.512470674805785e-01, -2.180928891660612e-01, - -2.180928891660612e-01, -9.512470674805785e-01, -2.180928891660612e-01, - 9.512470674805785e-01, 2.180928891660612e-01, 2.180928891660612e-01, - -9.512470674805785e-01, 2.180928891660612e-01, 2.180928891660612e-01, - 9.512470674805785e-01, -2.180928891660612e-01, 2.180928891660612e-01, - -9.512470674805785e-01, -2.180928891660612e-01, 2.180928891660612e-01, - 9.512470674805785e-01, 2.180928891660612e-01, -2.180928891660612e-01, - -9.512470674805785e-01, 2.180928891660612e-01, -2.180928891660612e-01, - 9.512470674805785e-01, -2.180928891660612e-01, -2.180928891660612e-01, - -9.512470674805785e-01, -2.180928891660612e-01, -2.180928891660612e-01, - 2.839874532200175e-01, 2.839874532200175e-01, 9.158068862086683e-01, - -2.839874532200175e-01, 2.839874532200175e-01, 9.158068862086683e-01, - 2.839874532200175e-01, -2.839874532200175e-01, 9.158068862086683e-01, - -2.839874532200175e-01, -2.839874532200175e-01, 9.158068862086683e-01, - 2.839874532200175e-01, 2.839874532200175e-01, -9.158068862086683e-01, - -2.839874532200175e-01, 2.839874532200175e-01, -9.158068862086683e-01, - 2.839874532200175e-01, -2.839874532200175e-01, -9.158068862086683e-01, - -2.839874532200175e-01, -2.839874532200175e-01, -9.158068862086683e-01, - 2.839874532200175e-01, 9.158068862086683e-01, 2.839874532200175e-01, - -2.839874532200175e-01, 9.158068862086683e-01, 2.839874532200175e-01, - 2.839874532200175e-01, -9.158068862086683e-01, 2.839874532200175e-01, - -2.839874532200175e-01, -9.158068862086683e-01, 2.839874532200175e-01, - 2.839874532200175e-01, 9.158068862086683e-01, -2.839874532200175e-01, - -2.839874532200175e-01, 9.158068862086683e-01, -2.839874532200175e-01, - 2.839874532200175e-01, -9.158068862086683e-01, -2.839874532200175e-01, - -2.839874532200175e-01, -9.158068862086683e-01, -2.839874532200175e-01, - 9.158068862086683e-01, 2.839874532200175e-01, 2.839874532200175e-01, - -9.158068862086683e-01, 2.839874532200175e-01, 2.839874532200175e-01, - 9.158068862086683e-01, -2.839874532200175e-01, 2.839874532200175e-01, - -9.158068862086683e-01, -2.839874532200175e-01, 2.839874532200175e-01, - 9.158068862086683e-01, 2.839874532200175e-01, -2.839874532200175e-01, - -9.158068862086683e-01, 2.839874532200175e-01, -2.839874532200175e-01, - 9.158068862086683e-01, -2.839874532200175e-01, -2.839874532200175e-01, - -9.158068862086683e-01, -2.839874532200175e-01, -2.839874532200175e-01, - 3.491177600963764e-01, 3.491177600963764e-01, 8.696169151819541e-01, - -3.491177600963764e-01, 3.491177600963764e-01, 8.696169151819541e-01, - 3.491177600963764e-01, -3.491177600963764e-01, 8.696169151819541e-01, - -3.491177600963764e-01, -3.491177600963764e-01, 8.696169151819541e-01, - 3.491177600963764e-01, 3.491177600963764e-01, -8.696169151819541e-01, - -3.491177600963764e-01, 3.491177600963764e-01, -8.696169151819541e-01, - 3.491177600963764e-01, -3.491177600963764e-01, -8.696169151819541e-01, - -3.491177600963764e-01, -3.491177600963764e-01, -8.696169151819541e-01, - 3.491177600963764e-01, 8.696169151819541e-01, 3.491177600963764e-01, - -3.491177600963764e-01, 8.696169151819541e-01, 3.491177600963764e-01, - 3.491177600963764e-01, -8.696169151819541e-01, 3.491177600963764e-01, - -3.491177600963764e-01, 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9.107813579482705e-04, + 9.107813579482705e-04, 9.107813579482705e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04, 9.105760258970126e-04, + 9.105760258970126e-04, 9.105760258970126e-04}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_14.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_14.hpp index 4bc3921..d206e0b 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_14.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_14.hpp @@ -5,45 +5,32 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 14 - * + * */ template struct lebedev_laikov_14 { + static constexpr std::array, 14> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01}; - static constexpr std::array,14> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01 - }; - - - static constexpr std::array weights = { - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 6.666666666666667e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02, - 7.500000000000000e-02 - }; + static constexpr std::array weights = { + 6.666666666666667e-02, 6.666666666666667e-02, 6.666666666666667e-02, + 6.666666666666667e-02, 6.666666666666667e-02, 6.666666666666667e-02, + 7.500000000000000e-02, 7.500000000000000e-02, 7.500000000000000e-02, + 7.500000000000000e-02, 7.500000000000000e-02, 7.500000000000000e-02, + 7.500000000000000e-02, 7.500000000000000e-02}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1454.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1454.hpp index 7cc1f3f..b6baf3e 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1454.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1454.hpp @@ -5,2925 +5,1952 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 1454 - * + * */ template struct lebedev_laikov_1454 { + static constexpr std::array, 1454> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 3.229290663413854e-02, 3.229290663413854e-02, 9.989566238642384e-01, + -3.229290663413854e-02, 3.229290663413854e-02, 9.989566238642384e-01, + 3.229290663413854e-02, -3.229290663413854e-02, 9.989566238642384e-01, + -3.229290663413854e-02, -3.229290663413854e-02, 9.989566238642384e-01, + 3.229290663413854e-02, 3.229290663413854e-02, -9.989566238642384e-01, + -3.229290663413854e-02, 3.229290663413854e-02, -9.989566238642384e-01, + 3.229290663413854e-02, -3.229290663413854e-02, -9.989566238642384e-01, + -3.229290663413854e-02, -3.229290663413854e-02, -9.989566238642384e-01, + 3.229290663413854e-02, 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-5.797589531445219e-02, + 8.113190098702621e-01, -5.817218061802611e-01, -5.797589531445219e-02, + -8.113190098702621e-01, -5.817218061802611e-01, -5.797589531445219e-02, + 8.113190098702621e-01, 5.797589531445219e-02, 5.817218061802611e-01, + -8.113190098702621e-01, 5.797589531445219e-02, 5.817218061802611e-01, + 8.113190098702621e-01, -5.797589531445219e-02, 5.817218061802611e-01, + -8.113190098702621e-01, -5.797589531445219e-02, 5.817218061802611e-01, + 8.113190098702621e-01, 5.797589531445219e-02, -5.817218061802611e-01, + -8.113190098702621e-01, 5.797589531445219e-02, -5.817218061802611e-01, + 8.113190098702621e-01, -5.797589531445219e-02, -5.817218061802611e-01, + -8.113190098702621e-01, -5.797589531445219e-02, -5.817218061802611e-01}; - static constexpr std::array,1454> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 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-3.229290663413854e-02, 9.989566238642384e-01, - -3.229290663413854e-02, -3.229290663413854e-02, 9.989566238642384e-01, - 3.229290663413854e-02, 3.229290663413854e-02, -9.989566238642384e-01, - -3.229290663413854e-02, 3.229290663413854e-02, -9.989566238642384e-01, - 3.229290663413854e-02, -3.229290663413854e-02, -9.989566238642384e-01, - -3.229290663413854e-02, -3.229290663413854e-02, -9.989566238642384e-01, - 3.229290663413854e-02, 9.989566238642384e-01, 3.229290663413854e-02, - -3.229290663413854e-02, 9.989566238642384e-01, 3.229290663413854e-02, - 3.229290663413854e-02, -9.989566238642384e-01, 3.229290663413854e-02, - -3.229290663413854e-02, -9.989566238642384e-01, 3.229290663413854e-02, - 3.229290663413854e-02, 9.989566238642384e-01, -3.229290663413854e-02, - -3.229290663413854e-02, 9.989566238642384e-01, -3.229290663413854e-02, - 3.229290663413854e-02, -9.989566238642384e-01, -3.229290663413854e-02, - -3.229290663413854e-02, -9.989566238642384e-01, -3.229290663413854e-02, - 9.989566238642384e-01, 3.229290663413854e-02, 3.229290663413854e-02, - -9.989566238642384e-01, 3.229290663413854e-02, 3.229290663413854e-02, - 9.989566238642384e-01, -3.229290663413854e-02, 3.229290663413854e-02, - -9.989566238642384e-01, -3.229290663413854e-02, 3.229290663413854e-02, - 9.989566238642384e-01, 3.229290663413854e-02, -3.229290663413854e-02, - -9.989566238642384e-01, 3.229290663413854e-02, -3.229290663413854e-02, - 9.989566238642384e-01, -3.229290663413854e-02, -3.229290663413854e-02, - -9.989566238642384e-01, -3.229290663413854e-02, -3.229290663413854e-02, - 8.036733271462222e-02, 8.036733271462222e-02, 9.935200972625940e-01, - -8.036733271462222e-02, 8.036733271462222e-02, 9.935200972625940e-01, - 8.036733271462222e-02, -8.036733271462222e-02, 9.935200972625940e-01, - -8.036733271462222e-02, -8.036733271462222e-02, 9.935200972625940e-01, - 8.036733271462222e-02, 8.036733271462222e-02, -9.935200972625940e-01, - -8.036733271462222e-02, 8.036733271462222e-02, -9.935200972625940e-01, - 8.036733271462222e-02, -8.036733271462222e-02, -9.935200972625940e-01, - -8.036733271462222e-02, -8.036733271462222e-02, -9.935200972625940e-01, - 8.036733271462222e-02, 9.935200972625940e-01, 8.036733271462222e-02, - -8.036733271462222e-02, 9.935200972625940e-01, 8.036733271462222e-02, - 8.036733271462222e-02, -9.935200972625940e-01, 8.036733271462222e-02, - -8.036733271462222e-02, -9.935200972625940e-01, 8.036733271462222e-02, - 8.036733271462222e-02, 9.935200972625940e-01, -8.036733271462222e-02, - -8.036733271462222e-02, 9.935200972625940e-01, -8.036733271462222e-02, - 8.036733271462222e-02, -9.935200972625940e-01, -8.036733271462222e-02, - -8.036733271462222e-02, -9.935200972625940e-01, -8.036733271462222e-02, - 9.935200972625940e-01, 8.036733271462222e-02, 8.036733271462222e-02, - -9.935200972625940e-01, 8.036733271462222e-02, 8.036733271462222e-02, - 9.935200972625940e-01, -8.036733271462222e-02, 8.036733271462222e-02, - -9.935200972625940e-01, -8.036733271462222e-02, 8.036733271462222e-02, - 9.935200972625940e-01, 8.036733271462222e-02, -8.036733271462222e-02, - -9.935200972625940e-01, 8.036733271462222e-02, -8.036733271462222e-02, - 9.935200972625940e-01, -8.036733271462222e-02, -8.036733271462222e-02, - -9.935200972625940e-01, -8.036733271462222e-02, -8.036733271462222e-02, - 1.354289960531653e-01, 1.354289960531653e-01, 9.814876331651171e-01, - -1.354289960531653e-01, 1.354289960531653e-01, 9.814876331651171e-01, - 1.354289960531653e-01, -1.354289960531653e-01, 9.814876331651171e-01, - -1.354289960531653e-01, -1.354289960531653e-01, 9.814876331651171e-01, - 1.354289960531653e-01, 1.354289960531653e-01, -9.814876331651171e-01, - -1.354289960531653e-01, 1.354289960531653e-01, -9.814876331651171e-01, - 1.354289960531653e-01, -1.354289960531653e-01, -9.814876331651171e-01, - -1.354289960531653e-01, -1.354289960531653e-01, -9.814876331651171e-01, - 1.354289960531653e-01, 9.814876331651171e-01, 1.354289960531653e-01, - -1.354289960531653e-01, 9.814876331651171e-01, 1.354289960531653e-01, - 1.354289960531653e-01, -9.814876331651171e-01, 1.354289960531653e-01, - -1.354289960531653e-01, -9.814876331651171e-01, 1.354289960531653e-01, - 1.354289960531653e-01, 9.814876331651171e-01, -1.354289960531653e-01, - -1.354289960531653e-01, 9.814876331651171e-01, -1.354289960531653e-01, - 1.354289960531653e-01, -9.814876331651171e-01, -1.354289960531653e-01, - -1.354289960531653e-01, -9.814876331651171e-01, -1.354289960531653e-01, - 9.814876331651171e-01, 1.354289960531653e-01, 1.354289960531653e-01, - -9.814876331651171e-01, 1.354289960531653e-01, 1.354289960531653e-01, - 9.814876331651171e-01, -1.354289960531653e-01, 1.354289960531653e-01, - -9.814876331651171e-01, -1.354289960531653e-01, 1.354289960531653e-01, - 9.814876331651171e-01, 1.354289960531653e-01, -1.354289960531653e-01, - -9.814876331651171e-01, 1.354289960531653e-01, -1.354289960531653e-01, - 9.814876331651171e-01, -1.354289960531653e-01, -1.354289960531653e-01, - -9.814876331651171e-01, -1.354289960531653e-01, -1.354289960531653e-01, - 1.938963861114426e-01, 1.938963861114426e-01, 9.616695809402753e-01, - -1.938963861114426e-01, 1.938963861114426e-01, 9.616695809402753e-01, - 1.938963861114426e-01, -1.938963861114426e-01, 9.616695809402753e-01, - -1.938963861114426e-01, -1.938963861114426e-01, 9.616695809402753e-01, - 1.938963861114426e-01, 1.938963861114426e-01, -9.616695809402753e-01, - -1.938963861114426e-01, 1.938963861114426e-01, -9.616695809402753e-01, - 1.938963861114426e-01, -1.938963861114426e-01, -9.616695809402753e-01, - -1.938963861114426e-01, -1.938963861114426e-01, -9.616695809402753e-01, - 1.938963861114426e-01, 9.616695809402753e-01, 1.938963861114426e-01, - -1.938963861114426e-01, 9.616695809402753e-01, 1.938963861114426e-01, - 1.938963861114426e-01, -9.616695809402753e-01, 1.938963861114426e-01, - -1.938963861114426e-01, -9.616695809402753e-01, 1.938963861114426e-01, - 1.938963861114426e-01, 9.616695809402753e-01, -1.938963861114426e-01, - -1.938963861114426e-01, 9.616695809402753e-01, -1.938963861114426e-01, - 1.938963861114426e-01, -9.616695809402753e-01, -1.938963861114426e-01, - -1.938963861114426e-01, -9.616695809402753e-01, -1.938963861114426e-01, - 9.616695809402753e-01, 1.938963861114426e-01, 1.938963861114426e-01, - -9.616695809402753e-01, 1.938963861114426e-01, 1.938963861114426e-01, - 9.616695809402753e-01, -1.938963861114426e-01, 1.938963861114426e-01, - -9.616695809402753e-01, -1.938963861114426e-01, 1.938963861114426e-01, - 9.616695809402753e-01, 1.938963861114426e-01, -1.938963861114426e-01, - -9.616695809402753e-01, 1.938963861114426e-01, -1.938963861114426e-01, - 9.616695809402753e-01, -1.938963861114426e-01, -1.938963861114426e-01, - -9.616695809402753e-01, -1.938963861114426e-01, -1.938963861114426e-01, - 2.537343715011275e-01, 2.537343715011275e-01, 9.334011664005224e-01, - -2.537343715011275e-01, 2.537343715011275e-01, 9.334011664005224e-01, - 2.537343715011275e-01, -2.537343715011275e-01, 9.334011664005224e-01, - -2.537343715011275e-01, -2.537343715011275e-01, 9.334011664005224e-01, - 2.537343715011275e-01, 2.537343715011275e-01, -9.334011664005224e-01, - -2.537343715011275e-01, 2.537343715011275e-01, -9.334011664005224e-01, - 2.537343715011275e-01, -2.537343715011275e-01, -9.334011664005224e-01, - -2.537343715011275e-01, -2.537343715011275e-01, -9.334011664005224e-01, - 2.537343715011275e-01, 9.334011664005224e-01, 2.537343715011275e-01, - -2.537343715011275e-01, 9.334011664005224e-01, 2.537343715011275e-01, - 2.537343715011275e-01, -9.334011664005224e-01, 2.537343715011275e-01, - -2.537343715011275e-01, -9.334011664005224e-01, 2.537343715011275e-01, - 2.537343715011275e-01, 9.334011664005224e-01, -2.537343715011275e-01, - -2.537343715011275e-01, 9.334011664005224e-01, -2.537343715011275e-01, - 2.537343715011275e-01, -9.334011664005224e-01, -2.537343715011275e-01, - -2.537343715011275e-01, -9.334011664005224e-01, -2.537343715011275e-01, - 9.334011664005224e-01, 2.537343715011275e-01, 2.537343715011275e-01, - -9.334011664005224e-01, 2.537343715011275e-01, 2.537343715011275e-01, - 9.334011664005224e-01, -2.537343715011275e-01, 2.537343715011275e-01, - -9.334011664005224e-01, -2.537343715011275e-01, 2.537343715011275e-01, - 9.334011664005224e-01, 2.537343715011275e-01, -2.537343715011275e-01, - -9.334011664005224e-01, 2.537343715011275e-01, -2.537343715011275e-01, - 9.334011664005224e-01, -2.537343715011275e-01, -2.537343715011275e-01, - -9.334011664005224e-01, -2.537343715011275e-01, -2.537343715011275e-01, - 3.135251434752570e-01, 3.135251434752570e-01, 8.963280475460081e-01, - -3.135251434752570e-01, 3.135251434752570e-01, 8.963280475460081e-01, - 3.135251434752570e-01, -3.135251434752570e-01, 8.963280475460081e-01, - -3.135251434752570e-01, -3.135251434752570e-01, 8.963280475460081e-01, - 3.135251434752570e-01, 3.135251434752570e-01, -8.963280475460081e-01, - -3.135251434752570e-01, 3.135251434752570e-01, -8.963280475460081e-01, - 3.135251434752570e-01, -3.135251434752570e-01, -8.963280475460081e-01, - -3.135251434752570e-01, -3.135251434752570e-01, -8.963280475460081e-01, - 3.135251434752570e-01, 8.963280475460081e-01, 3.135251434752570e-01, - -3.135251434752570e-01, 8.963280475460081e-01, 3.135251434752570e-01, - 3.135251434752570e-01, -8.963280475460081e-01, 3.135251434752570e-01, - -3.135251434752570e-01, -8.963280475460081e-01, 3.135251434752570e-01, - 3.135251434752570e-01, 8.963280475460081e-01, -3.135251434752570e-01, - -3.135251434752570e-01, 8.963280475460081e-01, -3.135251434752570e-01, - 3.135251434752570e-01, -8.963280475460081e-01, -3.135251434752570e-01, - -3.135251434752570e-01, -8.963280475460081e-01, -3.135251434752570e-01, - 8.963280475460081e-01, 3.135251434752570e-01, 3.135251434752570e-01, - -8.963280475460081e-01, 3.135251434752570e-01, 3.135251434752570e-01, - 8.963280475460081e-01, -3.135251434752570e-01, 3.135251434752570e-01, - -8.963280475460081e-01, -3.135251434752570e-01, 3.135251434752570e-01, - 8.963280475460081e-01, 3.135251434752570e-01, -3.135251434752570e-01, - -8.963280475460081e-01, 3.135251434752570e-01, -3.135251434752570e-01, - 8.963280475460081e-01, -3.135251434752570e-01, -3.135251434752570e-01, - -8.963280475460081e-01, -3.135251434752570e-01, -3.135251434752570e-01, - 3.721558339375338e-01, 3.721558339375338e-01, 8.502941082546188e-01, - -3.721558339375338e-01, 3.721558339375338e-01, 8.502941082546188e-01, - 3.721558339375338e-01, -3.721558339375338e-01, 8.502941082546188e-01, - -3.721558339375338e-01, -3.721558339375338e-01, 8.502941082546188e-01, - 3.721558339375338e-01, 3.721558339375338e-01, -8.502941082546188e-01, - -3.721558339375338e-01, 3.721558339375338e-01, -8.502941082546188e-01, - 3.721558339375338e-01, -3.721558339375338e-01, -8.502941082546188e-01, - -3.721558339375338e-01, -3.721558339375338e-01, -8.502941082546188e-01, - 3.721558339375338e-01, 8.502941082546188e-01, 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7.489908329079233e-04, 7.489908329079233e-04, 7.489908329079233e-04, + 7.489908329079233e-04, 7.489908329079233e-04, 7.489908329079233e-04, + 7.489908329079233e-04, 7.489908329079233e-04, 7.489908329079233e-04, + 7.489908329079233e-04, 7.489908329079233e-04}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_146.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_146.hpp index 5557d07..db2916a 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_146.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_146.hpp @@ -5,309 +5,208 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 146 - * + * */ template struct lebedev_laikov_146 { + static constexpr std::array, 146> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 6.764410400114264e-01, 6.764410400114264e-01, 2.912988822095268e-01, + -6.764410400114264e-01, 6.764410400114264e-01, 2.912988822095268e-01, + 6.764410400114264e-01, -6.764410400114264e-01, 2.912988822095268e-01, + -6.764410400114264e-01, -6.764410400114264e-01, 2.912988822095268e-01, + 6.764410400114264e-01, 6.764410400114264e-01, -2.912988822095268e-01, + -6.764410400114264e-01, 6.764410400114264e-01, -2.912988822095268e-01, + 6.764410400114264e-01, -6.764410400114264e-01, -2.912988822095268e-01, + -6.764410400114264e-01, -6.764410400114264e-01, -2.912988822095268e-01, + 6.764410400114264e-01, 2.912988822095268e-01, 6.764410400114264e-01, + -6.764410400114264e-01, 2.912988822095268e-01, 6.764410400114264e-01, + 6.764410400114264e-01, -2.912988822095268e-01, 6.764410400114264e-01, + -6.764410400114264e-01, -2.912988822095268e-01, 6.764410400114264e-01, + 6.764410400114264e-01, 2.912988822095268e-01, -6.764410400114264e-01, + -6.764410400114264e-01, 2.912988822095268e-01, -6.764410400114264e-01, + 6.764410400114264e-01, -2.912988822095268e-01, -6.764410400114264e-01, + -6.764410400114264e-01, -2.912988822095268e-01, -6.764410400114264e-01, + 2.912988822095268e-01, 6.764410400114264e-01, 6.764410400114264e-01, + -2.912988822095268e-01, 6.764410400114264e-01, 6.764410400114264e-01, + 2.912988822095268e-01, -6.764410400114264e-01, 6.764410400114264e-01, + -2.912988822095268e-01, -6.764410400114264e-01, 6.764410400114264e-01, + 2.912988822095268e-01, 6.764410400114264e-01, -6.764410400114264e-01, + -2.912988822095268e-01, 6.764410400114264e-01, -6.764410400114264e-01, + 2.912988822095268e-01, -6.764410400114264e-01, -6.764410400114264e-01, + -2.912988822095268e-01, -6.764410400114264e-01, -6.764410400114264e-01, + 4.174961227965453e-01, 4.174961227965453e-01, 8.070898183595826e-01, + -4.174961227965453e-01, 4.174961227965453e-01, 8.070898183595826e-01, + 4.174961227965453e-01, -4.174961227965453e-01, 8.070898183595826e-01, + -4.174961227965453e-01, -4.174961227965453e-01, 8.070898183595826e-01, + 4.174961227965453e-01, 4.174961227965453e-01, -8.070898183595826e-01, + -4.174961227965453e-01, 4.174961227965453e-01, -8.070898183595826e-01, + 4.174961227965453e-01, -4.174961227965453e-01, -8.070898183595826e-01, + -4.174961227965453e-01, -4.174961227965453e-01, -8.070898183595826e-01, + 4.174961227965453e-01, 8.070898183595826e-01, 4.174961227965453e-01, + -4.174961227965453e-01, 8.070898183595826e-01, 4.174961227965453e-01, + 4.174961227965453e-01, -8.070898183595826e-01, 4.174961227965453e-01, + -4.174961227965453e-01, -8.070898183595826e-01, 4.174961227965453e-01, + 4.174961227965453e-01, 8.070898183595826e-01, -4.174961227965453e-01, + -4.174961227965453e-01, 8.070898183595826e-01, -4.174961227965453e-01, + 4.174961227965453e-01, -8.070898183595826e-01, -4.174961227965453e-01, + -4.174961227965453e-01, -8.070898183595826e-01, -4.174961227965453e-01, + 8.070898183595826e-01, 4.174961227965453e-01, 4.174961227965453e-01, + -8.070898183595826e-01, 4.174961227965453e-01, 4.174961227965453e-01, + 8.070898183595826e-01, -4.174961227965453e-01, 4.174961227965453e-01, + -8.070898183595826e-01, -4.174961227965453e-01, 4.174961227965453e-01, + 8.070898183595826e-01, 4.174961227965453e-01, -4.174961227965453e-01, + -8.070898183595826e-01, 4.174961227965453e-01, -4.174961227965453e-01, + 8.070898183595826e-01, -4.174961227965453e-01, -4.174961227965453e-01, + -8.070898183595826e-01, -4.174961227965453e-01, -4.174961227965453e-01, + 1.574676672039082e-01, 1.574676672039082e-01, 9.748886436771732e-01, + -1.574676672039082e-01, 1.574676672039082e-01, 9.748886436771732e-01, + 1.574676672039082e-01, -1.574676672039082e-01, 9.748886436771732e-01, + -1.574676672039082e-01, -1.574676672039082e-01, 9.748886436771732e-01, + 1.574676672039082e-01, 1.574676672039082e-01, -9.748886436771732e-01, + -1.574676672039082e-01, 1.574676672039082e-01, -9.748886436771732e-01, + 1.574676672039082e-01, -1.574676672039082e-01, -9.748886436771732e-01, + -1.574676672039082e-01, -1.574676672039082e-01, -9.748886436771732e-01, + 1.574676672039082e-01, 9.748886436771732e-01, 1.574676672039082e-01, + -1.574676672039082e-01, 9.748886436771732e-01, 1.574676672039082e-01, + 1.574676672039082e-01, -9.748886436771732e-01, 1.574676672039082e-01, + -1.574676672039082e-01, -9.748886436771732e-01, 1.574676672039082e-01, + 1.574676672039082e-01, 9.748886436771732e-01, -1.574676672039082e-01, + -1.574676672039082e-01, 9.748886436771732e-01, -1.574676672039082e-01, + 1.574676672039082e-01, -9.748886436771732e-01, -1.574676672039082e-01, + -1.574676672039082e-01, -9.748886436771732e-01, -1.574676672039082e-01, + 9.748886436771732e-01, 1.574676672039082e-01, 1.574676672039082e-01, + -9.748886436771732e-01, 1.574676672039082e-01, 1.574676672039082e-01, + 9.748886436771732e-01, -1.574676672039082e-01, 1.574676672039082e-01, + -9.748886436771732e-01, -1.574676672039082e-01, 1.574676672039082e-01, + 9.748886436771732e-01, 1.574676672039082e-01, -1.574676672039082e-01, + -9.748886436771732e-01, 1.574676672039082e-01, -1.574676672039082e-01, + 9.748886436771732e-01, -1.574676672039082e-01, -1.574676672039082e-01, + -9.748886436771732e-01, -1.574676672039082e-01, -1.574676672039082e-01, + 1.403553811713183e-01, 4.493328323269557e-01, 8.822700112603227e-01, + -1.403553811713183e-01, 4.493328323269557e-01, 8.822700112603227e-01, + 1.403553811713183e-01, -4.493328323269557e-01, 8.822700112603227e-01, + -1.403553811713183e-01, -4.493328323269557e-01, 8.822700112603227e-01, + 1.403553811713183e-01, 4.493328323269557e-01, -8.822700112603227e-01, + -1.403553811713183e-01, 4.493328323269557e-01, -8.822700112603227e-01, + 1.403553811713183e-01, -4.493328323269557e-01, -8.822700112603227e-01, + -1.403553811713183e-01, -4.493328323269557e-01, -8.822700112603227e-01, + 1.403553811713183e-01, 8.822700112603227e-01, 4.493328323269557e-01, + -1.403553811713183e-01, 8.822700112603227e-01, 4.493328323269557e-01, + 1.403553811713183e-01, -8.822700112603227e-01, 4.493328323269557e-01, + -1.403553811713183e-01, -8.822700112603227e-01, 4.493328323269557e-01, + 1.403553811713183e-01, 8.822700112603227e-01, -4.493328323269557e-01, + -1.403553811713183e-01, 8.822700112603227e-01, -4.493328323269557e-01, + 1.403553811713183e-01, -8.822700112603227e-01, -4.493328323269557e-01, + -1.403553811713183e-01, -8.822700112603227e-01, -4.493328323269557e-01, + 4.493328323269557e-01, 1.403553811713183e-01, 8.822700112603227e-01, + -4.493328323269557e-01, 1.403553811713183e-01, 8.822700112603227e-01, + 4.493328323269557e-01, -1.403553811713183e-01, 8.822700112603227e-01, + -4.493328323269557e-01, -1.403553811713183e-01, 8.822700112603227e-01, + 4.493328323269557e-01, 1.403553811713183e-01, -8.822700112603227e-01, + -4.493328323269557e-01, 1.403553811713183e-01, -8.822700112603227e-01, + 4.493328323269557e-01, -1.403553811713183e-01, -8.822700112603227e-01, + -4.493328323269557e-01, -1.403553811713183e-01, -8.822700112603227e-01, + 4.493328323269557e-01, 8.822700112603227e-01, 1.403553811713183e-01, + -4.493328323269557e-01, 8.822700112603227e-01, 1.403553811713183e-01, + 4.493328323269557e-01, -8.822700112603227e-01, 1.403553811713183e-01, + -4.493328323269557e-01, -8.822700112603227e-01, 1.403553811713183e-01, + 4.493328323269557e-01, 8.822700112603227e-01, -1.403553811713183e-01, + -4.493328323269557e-01, 8.822700112603227e-01, -1.403553811713183e-01, + 4.493328323269557e-01, -8.822700112603227e-01, -1.403553811713183e-01, + -4.493328323269557e-01, -8.822700112603227e-01, -1.403553811713183e-01, + 8.822700112603227e-01, 1.403553811713183e-01, 4.493328323269557e-01, + -8.822700112603227e-01, 1.403553811713183e-01, 4.493328323269557e-01, + 8.822700112603227e-01, -1.403553811713183e-01, 4.493328323269557e-01, + -8.822700112603227e-01, -1.403553811713183e-01, 4.493328323269557e-01, + 8.822700112603227e-01, 1.403553811713183e-01, -4.493328323269557e-01, + -8.822700112603227e-01, 1.403553811713183e-01, -4.493328323269557e-01, + 8.822700112603227e-01, -1.403553811713183e-01, -4.493328323269557e-01, + -8.822700112603227e-01, -1.403553811713183e-01, -4.493328323269557e-01, + 8.822700112603227e-01, 4.493328323269557e-01, 1.403553811713183e-01, + -8.822700112603227e-01, 4.493328323269557e-01, 1.403553811713183e-01, + 8.822700112603227e-01, -4.493328323269557e-01, 1.403553811713183e-01, + -8.822700112603227e-01, -4.493328323269557e-01, 1.403553811713183e-01, + 8.822700112603227e-01, 4.493328323269557e-01, -1.403553811713183e-01, + -8.822700112603227e-01, 4.493328323269557e-01, -1.403553811713183e-01, + 8.822700112603227e-01, -4.493328323269557e-01, -1.403553811713183e-01, + -8.822700112603227e-01, -4.493328323269557e-01, -1.403553811713183e-01}; - static constexpr std::array,146> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 6.764410400114264e-01, 6.764410400114264e-01, 2.912988822095268e-01, - -6.764410400114264e-01, 6.764410400114264e-01, 2.912988822095268e-01, - 6.764410400114264e-01, -6.764410400114264e-01, 2.912988822095268e-01, - -6.764410400114264e-01, -6.764410400114264e-01, 2.912988822095268e-01, - 6.764410400114264e-01, 6.764410400114264e-01, -2.912988822095268e-01, - -6.764410400114264e-01, 6.764410400114264e-01, -2.912988822095268e-01, - 6.764410400114264e-01, 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6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03, - 6.991087353303262e-03 - }; + static constexpr std::array weights = { + 5.996313688621381e-04, 5.996313688621381e-04, 5.996313688621381e-04, + 5.996313688621381e-04, 5.996313688621381e-04, 5.996313688621381e-04, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.372999718620756e-03, 7.372999718620756e-03, 7.372999718620756e-03, + 7.210515360144488e-03, 7.210515360144488e-03, 7.210515360144488e-03, + 7.210515360144488e-03, 7.210515360144488e-03, 7.210515360144488e-03, + 7.210515360144488e-03, 7.210515360144488e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 7.116355493117555e-03, + 7.116355493117555e-03, 7.116355493117555e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 6.753829486314477e-03, + 6.753829486314477e-03, 6.753829486314477e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 7.574394159054034e-03, + 7.574394159054034e-03, 7.574394159054034e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03, 6.991087353303262e-03, + 6.991087353303262e-03, 6.991087353303262e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_170.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_170.hpp index a15001b..0c04d00 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_170.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_170.hpp @@ -5,357 +5,240 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 170 - * + * */ template struct lebedev_laikov_170 { + static constexpr std::array, 170> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, + -2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, + 2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, + -2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, + 2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, + -2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, + 2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, + -2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, + 2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, + -2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, + 2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, + -2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, + 2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, + -2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, + 2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, + -2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, + 9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, + -9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, + 9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, + -9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, + 9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, + -9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, + 9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, + -9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, + 6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, + -6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, + 6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, + -6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, + 6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, + -6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, + 6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, + -6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, + 6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, + -6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, + 6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, + -6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, + 6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, + -6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, + 6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, + -6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, + 3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, + -3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, + 3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, + -3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, + 3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, + -3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, + 3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, + -3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, + 4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, + -4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, + 4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, + -4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, + 4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, + -4.318910696719410e-01, 4.318910696719410e-01, 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-2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, + 2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, + -2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, + 9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, + -9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, + 9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, + -9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, + 0.000000000000000e+00, 2.613931360335988e-01, 9.652324219764484e-01, + 0.000000000000000e+00, -2.613931360335988e-01, 9.652324219764484e-01, + 0.000000000000000e+00, 2.613931360335988e-01, -9.652324219764484e-01, + 0.000000000000000e+00, -2.613931360335988e-01, -9.652324219764484e-01, + 0.000000000000000e+00, 9.652324219764484e-01, 2.613931360335988e-01, + 0.000000000000000e+00, -9.652324219764484e-01, 2.613931360335988e-01, + 0.000000000000000e+00, 9.652324219764484e-01, -2.613931360335988e-01, + 0.000000000000000e+00, -9.652324219764484e-01, -2.613931360335988e-01, + 4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, + -4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, + 4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, + -4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, + 4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, + -4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, + 4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, + -4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, + 4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, + -4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, + 4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, + -4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, + 4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, + -4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, + 4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, + -4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, + 1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, + -1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, + 1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, + -1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, + 1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, + -1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, + 1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, + -1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, + 1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, + -1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, + 1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, + -1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, + 1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, + -1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, + 1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, + -1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, + 8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, + -8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, + 8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, + -8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, + 8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, + -8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, + 8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, + -8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, + 8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, + -8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, + 8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, + -8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, + 8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, + -8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, + 8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01, + -8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01}; - static constexpr std::array,170> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, - -2.551252621114134e-01, 2.551252621114134e-01, 9.326425903126906e-01, - 2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, - -2.551252621114134e-01, -2.551252621114134e-01, 9.326425903126906e-01, - 2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, - -2.551252621114134e-01, 2.551252621114134e-01, -9.326425903126906e-01, - 2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, - -2.551252621114134e-01, -2.551252621114134e-01, -9.326425903126906e-01, - 2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, - -2.551252621114134e-01, 9.326425903126906e-01, 2.551252621114134e-01, - 2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, - -2.551252621114134e-01, -9.326425903126906e-01, 2.551252621114134e-01, - 2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, - -2.551252621114134e-01, 9.326425903126906e-01, -2.551252621114134e-01, - 2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, - -2.551252621114134e-01, -9.326425903126906e-01, -2.551252621114134e-01, - 9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, - -9.326425903126906e-01, 2.551252621114134e-01, 2.551252621114134e-01, - 9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, - -9.326425903126906e-01, -2.551252621114134e-01, 2.551252621114134e-01, - 9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, - -9.326425903126906e-01, 2.551252621114134e-01, -2.551252621114134e-01, - 9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, - -9.326425903126906e-01, -2.551252621114134e-01, -2.551252621114134e-01, - 6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, - -6.743601460362766e-01, 6.743601460362766e-01, 3.007935951377015e-01, - 6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, - -6.743601460362766e-01, -6.743601460362766e-01, 3.007935951377015e-01, - 6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, - -6.743601460362766e-01, 6.743601460362766e-01, -3.007935951377015e-01, - 6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, - -6.743601460362766e-01, -6.743601460362766e-01, -3.007935951377015e-01, - 6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, - -6.743601460362766e-01, 3.007935951377015e-01, 6.743601460362766e-01, - 6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, - -6.743601460362766e-01, -3.007935951377015e-01, 6.743601460362766e-01, - 6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, - -6.743601460362766e-01, 3.007935951377015e-01, -6.743601460362766e-01, - 6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, - -6.743601460362766e-01, -3.007935951377015e-01, -6.743601460362766e-01, - 3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, - -3.007935951377015e-01, 6.743601460362766e-01, 6.743601460362766e-01, - 3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, - -3.007935951377015e-01, -6.743601460362766e-01, 6.743601460362766e-01, - 3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, - -3.007935951377015e-01, 6.743601460362766e-01, -6.743601460362766e-01, - 3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, - -3.007935951377015e-01, -6.743601460362766e-01, -6.743601460362766e-01, - 4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, - -4.318910696719410e-01, 4.318910696719410e-01, 7.917955593934921e-01, - 4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, - -4.318910696719410e-01, -4.318910696719410e-01, 7.917955593934921e-01, - 4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, - -4.318910696719410e-01, 4.318910696719410e-01, -7.917955593934921e-01, - 4.318910696719410e-01, -4.318910696719410e-01, -7.917955593934921e-01, - -4.318910696719410e-01, -4.318910696719410e-01, -7.917955593934921e-01, - 4.318910696719410e-01, 7.917955593934921e-01, 4.318910696719410e-01, - -4.318910696719410e-01, 7.917955593934921e-01, 4.318910696719410e-01, - 4.318910696719410e-01, -7.917955593934921e-01, 4.318910696719410e-01, - -4.318910696719410e-01, -7.917955593934921e-01, 4.318910696719410e-01, - 4.318910696719410e-01, 7.917955593934921e-01, -4.318910696719410e-01, - -4.318910696719410e-01, 7.917955593934921e-01, -4.318910696719410e-01, - 4.318910696719410e-01, -7.917955593934921e-01, -4.318910696719410e-01, - -4.318910696719410e-01, -7.917955593934921e-01, -4.318910696719410e-01, - 7.917955593934921e-01, 4.318910696719410e-01, 4.318910696719410e-01, - -7.917955593934921e-01, 4.318910696719410e-01, 4.318910696719410e-01, - 7.917955593934921e-01, -4.318910696719410e-01, 4.318910696719410e-01, - -7.917955593934921e-01, -4.318910696719410e-01, 4.318910696719410e-01, - 7.917955593934921e-01, 4.318910696719410e-01, -4.318910696719410e-01, - -7.917955593934921e-01, 4.318910696719410e-01, -4.318910696719410e-01, - 7.917955593934921e-01, -4.318910696719410e-01, -4.318910696719410e-01, - -7.917955593934921e-01, -4.318910696719410e-01, -4.318910696719410e-01, - 2.613931360335988e-01, 9.652324219764484e-01, 0.000000000000000e+00, - -2.613931360335988e-01, 9.652324219764484e-01, 0.000000000000000e+00, - 2.613931360335988e-01, -9.652324219764484e-01, 0.000000000000000e+00, - -2.613931360335988e-01, -9.652324219764484e-01, 0.000000000000000e+00, - 9.652324219764484e-01, 2.613931360335988e-01, 0.000000000000000e+00, - -9.652324219764484e-01, 2.613931360335988e-01, 0.000000000000000e+00, - 9.652324219764484e-01, -2.613931360335988e-01, 0.000000000000000e+00, - -9.652324219764484e-01, -2.613931360335988e-01, 0.000000000000000e+00, - 2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, - -2.613931360335988e-01, 0.000000000000000e+00, 9.652324219764484e-01, - 2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, - -2.613931360335988e-01, 0.000000000000000e+00, -9.652324219764484e-01, - 9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, - -9.652324219764484e-01, 0.000000000000000e+00, 2.613931360335988e-01, - 9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, - -9.652324219764484e-01, 0.000000000000000e+00, -2.613931360335988e-01, - 0.000000000000000e+00, 2.613931360335988e-01, 9.652324219764484e-01, - 0.000000000000000e+00, -2.613931360335988e-01, 9.652324219764484e-01, - 0.000000000000000e+00, 2.613931360335988e-01, -9.652324219764484e-01, - 0.000000000000000e+00, -2.613931360335988e-01, -9.652324219764484e-01, - 0.000000000000000e+00, 9.652324219764484e-01, 2.613931360335988e-01, - 0.000000000000000e+00, -9.652324219764484e-01, 2.613931360335988e-01, - 0.000000000000000e+00, 9.652324219764484e-01, -2.613931360335988e-01, - 0.000000000000000e+00, -9.652324219764484e-01, -2.613931360335988e-01, - 4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, - -4.990453161796037e-01, 1.446630744325115e-01, 8.544158046846588e-01, - 4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, - -4.990453161796037e-01, -1.446630744325115e-01, 8.544158046846588e-01, - 4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, - -4.990453161796037e-01, 1.446630744325115e-01, -8.544158046846588e-01, - 4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, - -4.990453161796037e-01, -1.446630744325115e-01, -8.544158046846588e-01, - 4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, - -4.990453161796037e-01, 8.544158046846588e-01, 1.446630744325115e-01, - 4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, - -4.990453161796037e-01, -8.544158046846588e-01, 1.446630744325115e-01, - 4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, - -4.990453161796037e-01, 8.544158046846588e-01, -1.446630744325115e-01, - 4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, - -4.990453161796037e-01, -8.544158046846588e-01, -1.446630744325115e-01, - 1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, - -1.446630744325115e-01, 4.990453161796037e-01, 8.544158046846588e-01, - 1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, - -1.446630744325115e-01, -4.990453161796037e-01, 8.544158046846588e-01, - 1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, - -1.446630744325115e-01, 4.990453161796037e-01, -8.544158046846588e-01, - 1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, - -1.446630744325115e-01, -4.990453161796037e-01, -8.544158046846588e-01, - 1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, - -1.446630744325115e-01, 8.544158046846588e-01, 4.990453161796037e-01, - 1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, - -1.446630744325115e-01, -8.544158046846588e-01, 4.990453161796037e-01, - 1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, - -1.446630744325115e-01, 8.544158046846588e-01, -4.990453161796037e-01, - 1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, - -1.446630744325115e-01, -8.544158046846588e-01, -4.990453161796037e-01, - 8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, - -8.544158046846588e-01, 4.990453161796037e-01, 1.446630744325115e-01, - 8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, - -8.544158046846588e-01, -4.990453161796037e-01, 1.446630744325115e-01, - 8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, - -8.544158046846588e-01, 4.990453161796037e-01, -1.446630744325115e-01, - 8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, - -8.544158046846588e-01, -4.990453161796037e-01, -1.446630744325115e-01, - 8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, - -8.544158046846588e-01, 1.446630744325115e-01, 4.990453161796037e-01, - 8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, - -8.544158046846588e-01, -1.446630744325115e-01, 4.990453161796037e-01, - 8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, - -8.544158046846588e-01, 1.446630744325115e-01, -4.990453161796037e-01, - 8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01, - -8.544158046846588e-01, -1.446630744325115e-01, -4.990453161796037e-01 - }; - - - static constexpr std::array weights = { - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 5.544842902037365e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.071332770670752e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 6.383674773515093e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 5.183387587747790e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.317929009813725e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 6.201670006589077e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.477143385137348e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03, - 5.968383987681156e-03 - }; + static constexpr std::array weights = { + 5.544842902037365e-03, 5.544842902037365e-03, 5.544842902037365e-03, + 5.544842902037365e-03, 5.544842902037365e-03, 5.544842902037365e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.071332770670752e-03, 6.071332770670752e-03, 6.071332770670752e-03, + 6.383674773515093e-03, 6.383674773515093e-03, 6.383674773515093e-03, + 6.383674773515093e-03, 6.383674773515093e-03, 6.383674773515093e-03, + 6.383674773515093e-03, 6.383674773515093e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 5.183387587747790e-03, + 5.183387587747790e-03, 5.183387587747790e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.317929009813725e-03, + 6.317929009813725e-03, 6.317929009813725e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 6.201670006589077e-03, + 6.201670006589077e-03, 6.201670006589077e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.477143385137348e-03, + 5.477143385137348e-03, 5.477143385137348e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03, 5.968383987681156e-03, + 5.968383987681156e-03, 5.968383987681156e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1730.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1730.hpp index 27b94f9..2e7130e 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1730.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_1730.hpp @@ -5,3477 +5,2320 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 1730 - * + * */ template struct lebedev_laikov_1730 { + static constexpr std::array, 1730> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 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a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_194.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_194.hpp index 673894f..070481c 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_194.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_194.hpp @@ -5,405 +5,272 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 194 - * + * */ template struct lebedev_laikov_194 { + static constexpr std::array, 194> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 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5.251185724436420e-01, 1.590417105383530e-01, + -8.360360154824589e-01, 5.251185724436420e-01, 1.590417105383530e-01, + 8.360360154824589e-01, -5.251185724436420e-01, 1.590417105383530e-01, + -8.360360154824589e-01, -5.251185724436420e-01, 1.590417105383530e-01, + 8.360360154824589e-01, 5.251185724436420e-01, -1.590417105383530e-01, + -8.360360154824589e-01, 5.251185724436420e-01, -1.590417105383530e-01, + 8.360360154824589e-01, -5.251185724436420e-01, -1.590417105383530e-01, + -8.360360154824589e-01, -5.251185724436420e-01, -1.590417105383530e-01, + 5.251185724436420e-01, 1.590417105383530e-01, 8.360360154824589e-01, + -5.251185724436420e-01, 1.590417105383530e-01, 8.360360154824589e-01, + 5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, + -5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, + 5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, + -5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, + 5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, + -5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, + 5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, + -5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, + 5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, + -5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, + 5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, + -5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, + 5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01, + -5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01}; - static constexpr std::array,194> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 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8.360360154824589e-01, - -5.251185724436420e-01, -1.590417105383530e-01, 8.360360154824589e-01, - 5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, - -5.251185724436420e-01, 1.590417105383530e-01, -8.360360154824589e-01, - 5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, - -5.251185724436420e-01, -1.590417105383530e-01, -8.360360154824589e-01, - 5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, - -5.251185724436420e-01, 8.360360154824589e-01, 1.590417105383530e-01, - 5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, - -5.251185724436420e-01, -8.360360154824589e-01, 1.590417105383530e-01, - 5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, - -5.251185724436420e-01, 8.360360154824589e-01, -1.590417105383530e-01, - 5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01, - -5.251185724436420e-01, -8.360360154824589e-01, -1.590417105383530e-01 - }; - - - static constexpr 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1.782340447244611e-03, 1.782340447244611e-03, 1.782340447244611e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.716905949977102e-03, 5.716905949977102e-03, 5.716905949977102e-03, + 5.573383178848738e-03, 5.573383178848738e-03, 5.573383178848738e-03, + 5.573383178848738e-03, 5.573383178848738e-03, 5.573383178848738e-03, + 5.573383178848738e-03, 5.573383178848738e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.608704082587997e-03, + 5.608704082587997e-03, 5.608704082587997e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.158237711805383e-03, + 5.158237711805383e-03, 5.158237711805383e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 5.518771467273614e-03, 5.518771467273614e-03, 5.518771467273614e-03, + 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5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.051846064614808e-03, + 5.051846064614808e-03, 5.051846064614808e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03, 5.530248916233094e-03, + 5.530248916233094e-03, 5.530248916233094e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2030.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2030.hpp index dff2ee1..5dcf448 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2030.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2030.hpp @@ -5,4077 +5,2720 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 2030 - * + * */ template struct lebedev_laikov_2030 { + static constexpr std::array, 2030> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.540835336814348e-02, 2.540835336814348e-02, 9.993542070548556e-01, + -2.540835336814348e-02, 2.540835336814348e-02, 9.993542070548556e-01, + 2.540835336814348e-02, -2.540835336814348e-02, 9.993542070548556e-01, + -2.540835336814348e-02, -2.540835336814348e-02, 9.993542070548556e-01, + 2.540835336814348e-02, 2.540835336814348e-02, -9.993542070548556e-01, + -2.540835336814348e-02, 2.540835336814348e-02, -9.993542070548556e-01, + 2.540835336814348e-02, -2.540835336814348e-02, -9.993542070548556e-01, + -2.540835336814348e-02, -2.540835336814348e-02, -9.993542070548556e-01, + 2.540835336814348e-02, 9.993542070548556e-01, 2.540835336814348e-02, + -2.540835336814348e-02, 9.993542070548556e-01, 2.540835336814348e-02, + 2.540835336814348e-02, -9.993542070548556e-01, 2.540835336814348e-02, + -2.540835336814348e-02, -9.993542070548556e-01, 2.540835336814348e-02, + 2.540835336814348e-02, 9.993542070548556e-01, -2.540835336814348e-02, + -2.540835336814348e-02, 9.993542070548556e-01, -2.540835336814348e-02, + 2.540835336814348e-02, -9.993542070548556e-01, -2.540835336814348e-02, + -2.540835336814348e-02, -9.993542070548556e-01, -2.540835336814348e-02, + 9.993542070548556e-01, 2.540835336814348e-02, 2.540835336814348e-02, + -9.993542070548556e-01, 2.540835336814348e-02, 2.540835336814348e-02, + 9.993542070548556e-01, -2.540835336814348e-02, 2.540835336814348e-02, + -9.993542070548556e-01, -2.540835336814348e-02, 2.540835336814348e-02, + 9.993542070548556e-01, 2.540835336814348e-02, -2.540835336814348e-02, + -9.993542070548556e-01, 2.540835336814348e-02, -2.540835336814348e-02, + 9.993542070548556e-01, -2.540835336814348e-02, -2.540835336814348e-02, + -9.993542070548556e-01, -2.540835336814348e-02, -2.540835336814348e-02, + 6.399322800504915e-02, 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7.509776119272954e-01, 6.529222529856881e-01, + -9.861621540127005e-02, 7.509776119272954e-01, 6.529222529856881e-01, + 9.861621540127005e-02, -7.509776119272954e-01, 6.529222529856881e-01, + -9.861621540127005e-02, -7.509776119272954e-01, 6.529222529856881e-01, + 9.861621540127005e-02, 7.509776119272954e-01, -6.529222529856881e-01, + -9.861621540127005e-02, 7.509776119272954e-01, -6.529222529856881e-01, + 9.861621540127005e-02, -7.509776119272954e-01, -6.529222529856881e-01, + -9.861621540127005e-02, -7.509776119272954e-01, -6.529222529856881e-01, + 7.509776119272954e-01, 6.529222529856881e-01, 9.861621540127005e-02, + -7.509776119272954e-01, 6.529222529856881e-01, 9.861621540127005e-02, + 7.509776119272954e-01, -6.529222529856881e-01, 9.861621540127005e-02, + -7.509776119272954e-01, -6.529222529856881e-01, 9.861621540127005e-02, + 7.509776119272954e-01, 6.529222529856881e-01, -9.861621540127005e-02, + -7.509776119272954e-01, 6.529222529856881e-01, -9.861621540127005e-02, + 7.509776119272954e-01, -6.529222529856881e-01, -9.861621540127005e-02, + -7.509776119272954e-01, -6.529222529856881e-01, -9.861621540127005e-02, + 7.509776119272954e-01, 9.861621540127005e-02, 6.529222529856881e-01, + -7.509776119272954e-01, 9.861621540127005e-02, 6.529222529856881e-01, + 7.509776119272954e-01, -9.861621540127005e-02, 6.529222529856881e-01, + -7.509776119272954e-01, -9.861621540127005e-02, 6.529222529856881e-01, + 7.509776119272954e-01, 9.861621540127005e-02, -6.529222529856881e-01, + -7.509776119272954e-01, 9.861621540127005e-02, -6.529222529856881e-01, + 7.509776119272954e-01, -9.861621540127005e-02, -6.529222529856881e-01, + -7.509776119272954e-01, -9.861621540127005e-02, -6.529222529856881e-01}; - static constexpr std::array,2030> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.540835336814348e-02, 2.540835336814348e-02, 9.993542070548556e-01, - -2.540835336814348e-02, 2.540835336814348e-02, 9.993542070548556e-01, - 2.540835336814348e-02, -2.540835336814348e-02, 9.993542070548556e-01, - -2.540835336814348e-02, -2.540835336814348e-02, 9.993542070548556e-01, - 2.540835336814348e-02, 2.540835336814348e-02, -9.993542070548556e-01, - -2.540835336814348e-02, 2.540835336814348e-02, -9.993542070548556e-01, - 2.540835336814348e-02, -2.540835336814348e-02, -9.993542070548556e-01, - -2.540835336814348e-02, -2.540835336814348e-02, -9.993542070548556e-01, - 2.540835336814348e-02, 9.993542070548556e-01, 2.540835336814348e-02, - -2.540835336814348e-02, 9.993542070548556e-01, 2.540835336814348e-02, - 2.540835336814348e-02, -9.993542070548556e-01, 2.540835336814348e-02, - -2.540835336814348e-02, -9.993542070548556e-01, 2.540835336814348e-02, - 2.540835336814348e-02, 9.993542070548556e-01, -2.540835336814348e-02, - -2.540835336814348e-02, 9.993542070548556e-01, -2.540835336814348e-02, - 2.540835336814348e-02, -9.993542070548556e-01, -2.540835336814348e-02, - -2.540835336814348e-02, -9.993542070548556e-01, -2.540835336814348e-02, - 9.993542070548556e-01, 2.540835336814348e-02, 2.540835336814348e-02, - -9.993542070548556e-01, 2.540835336814348e-02, 2.540835336814348e-02, - 9.993542070548556e-01, -2.540835336814348e-02, 2.540835336814348e-02, - -9.993542070548556e-01, -2.540835336814348e-02, 2.540835336814348e-02, - 9.993542070548556e-01, 2.540835336814348e-02, -2.540835336814348e-02, - -9.993542070548556e-01, 2.540835336814348e-02, -2.540835336814348e-02, - 9.993542070548556e-01, -2.540835336814348e-02, -2.540835336814348e-02, - -9.993542070548556e-01, -2.540835336814348e-02, -2.540835336814348e-02, - 6.399322800504915e-02, 6.399322800504915e-02, 9.958964471966890e-01, - -6.399322800504915e-02, 6.399322800504915e-02, 9.958964471966890e-01, - 6.399322800504915e-02, -6.399322800504915e-02, 9.958964471966890e-01, - -6.399322800504915e-02, -6.399322800504915e-02, 9.958964471966890e-01, - 6.399322800504915e-02, 6.399322800504915e-02, -9.958964471966890e-01, - -6.399322800504915e-02, 6.399322800504915e-02, -9.958964471966890e-01, - 6.399322800504915e-02, -6.399322800504915e-02, -9.958964471966890e-01, - -6.399322800504915e-02, -6.399322800504915e-02, -9.958964471966890e-01, - 6.399322800504915e-02, 9.958964471966890e-01, 6.399322800504915e-02, - -6.399322800504915e-02, 9.958964471966890e-01, 6.399322800504915e-02, - 6.399322800504915e-02, -9.958964471966890e-01, 6.399322800504915e-02, - -6.399322800504915e-02, -9.958964471966890e-01, 6.399322800504915e-02, - 6.399322800504915e-02, 9.958964471966890e-01, -6.399322800504915e-02, - -6.399322800504915e-02, 9.958964471966890e-01, -6.399322800504915e-02, - 6.399322800504915e-02, -9.958964471966890e-01, -6.399322800504915e-02, - -6.399322800504915e-02, -9.958964471966890e-01, -6.399322800504915e-02, - 9.958964471966890e-01, 6.399322800504915e-02, 6.399322800504915e-02, - -9.958964471966890e-01, 6.399322800504915e-02, 6.399322800504915e-02, - 9.958964471966890e-01, -6.399322800504915e-02, 6.399322800504915e-02, - -9.958964471966890e-01, -6.399322800504915e-02, 6.399322800504915e-02, - 9.958964471966890e-01, 6.399322800504915e-02, -6.399322800504915e-02, - -9.958964471966890e-01, 6.399322800504915e-02, -6.399322800504915e-02, - 9.958964471966890e-01, -6.399322800504915e-02, -6.399322800504915e-02, - -9.958964471966890e-01, -6.399322800504915e-02, -6.399322800504915e-02, - 1.088269469804125e-01, 1.088269469804125e-01, 9.880857205839203e-01, - -1.088269469804125e-01, 1.088269469804125e-01, 9.880857205839203e-01, - 1.088269469804125e-01, -1.088269469804125e-01, 9.880857205839203e-01, - -1.088269469804125e-01, -1.088269469804125e-01, 9.880857205839203e-01, - 1.088269469804125e-01, 1.088269469804125e-01, -9.880857205839203e-01, - -1.088269469804125e-01, 1.088269469804125e-01, -9.880857205839203e-01, - 1.088269469804125e-01, -1.088269469804125e-01, -9.880857205839203e-01, - -1.088269469804125e-01, -1.088269469804125e-01, -9.880857205839203e-01, - 1.088269469804125e-01, 9.880857205839203e-01, 1.088269469804125e-01, - -1.088269469804125e-01, 9.880857205839203e-01, 1.088269469804125e-01, - 1.088269469804125e-01, -9.880857205839203e-01, 1.088269469804125e-01, - -1.088269469804125e-01, -9.880857205839203e-01, 1.088269469804125e-01, - 1.088269469804125e-01, 9.880857205839203e-01, -1.088269469804125e-01, - -1.088269469804125e-01, 9.880857205839203e-01, -1.088269469804125e-01, - 1.088269469804125e-01, -9.880857205839203e-01, -1.088269469804125e-01, - -1.088269469804125e-01, -9.880857205839203e-01, -1.088269469804125e-01, - 9.880857205839203e-01, 1.088269469804125e-01, 1.088269469804125e-01, - -9.880857205839203e-01, 1.088269469804125e-01, 1.088269469804125e-01, - 9.880857205839203e-01, -1.088269469804125e-01, 1.088269469804125e-01, - -9.880857205839203e-01, -1.088269469804125e-01, 1.088269469804125e-01, - 9.880857205839203e-01, 1.088269469804125e-01, -1.088269469804125e-01, - -9.880857205839203e-01, 1.088269469804125e-01, -1.088269469804125e-01, - 9.880857205839203e-01, -1.088269469804125e-01, -1.088269469804125e-01, - -9.880857205839203e-01, -1.088269469804125e-01, -1.088269469804125e-01, - 1.570670798818287e-01, 1.570670798818287e-01, 9.750178792385248e-01, - -1.570670798818287e-01, 1.570670798818287e-01, 9.750178792385248e-01, - 1.570670798818287e-01, -1.570670798818287e-01, 9.750178792385248e-01, - -1.570670798818287e-01, -1.570670798818287e-01, 9.750178792385248e-01, - 1.570670798818287e-01, 1.570670798818287e-01, -9.750178792385248e-01, - -1.570670798818287e-01, 1.570670798818287e-01, -9.750178792385248e-01, - 1.570670798818287e-01, -1.570670798818287e-01, -9.750178792385248e-01, - -1.570670798818287e-01, -1.570670798818287e-01, -9.750178792385248e-01, - 1.570670798818287e-01, 9.750178792385248e-01, 1.570670798818287e-01, - -1.570670798818287e-01, 9.750178792385248e-01, 1.570670798818287e-01, - 1.570670798818287e-01, -9.750178792385248e-01, 1.570670798818287e-01, - -1.570670798818287e-01, -9.750178792385248e-01, 1.570670798818287e-01, - 1.570670798818287e-01, 9.750178792385248e-01, -1.570670798818287e-01, - -1.570670798818287e-01, 9.750178792385248e-01, -1.570670798818287e-01, - 1.570670798818287e-01, -9.750178792385248e-01, -1.570670798818287e-01, - -1.570670798818287e-01, -9.750178792385248e-01, -1.570670798818287e-01, - 9.750178792385248e-01, 1.570670798818287e-01, 1.570670798818287e-01, - -9.750178792385248e-01, 1.570670798818287e-01, 1.570670798818287e-01, - 9.750178792385248e-01, -1.570670798818287e-01, 1.570670798818287e-01, - -9.750178792385248e-01, -1.570670798818287e-01, 1.570670798818287e-01, - 9.750178792385248e-01, 1.570670798818287e-01, -1.570670798818287e-01, - -9.750178792385248e-01, 1.570670798818287e-01, -1.570670798818287e-01, - 9.750178792385248e-01, -1.570670798818287e-01, -1.570670798818287e-01, - -9.750178792385248e-01, -1.570670798818287e-01, -1.570670798818287e-01, - 2.071163932282514e-01, 2.071163932282514e-01, 9.561409934273505e-01, - -2.071163932282514e-01, 2.071163932282514e-01, 9.561409934273505e-01, - 2.071163932282514e-01, -2.071163932282514e-01, 9.561409934273505e-01, - -2.071163932282514e-01, -2.071163932282514e-01, 9.561409934273505e-01, - 2.071163932282514e-01, 2.071163932282514e-01, -9.561409934273505e-01, - -2.071163932282514e-01, 2.071163932282514e-01, -9.561409934273505e-01, - 2.071163932282514e-01, -2.071163932282514e-01, -9.561409934273505e-01, - -2.071163932282514e-01, -2.071163932282514e-01, -9.561409934273505e-01, - 2.071163932282514e-01, 9.561409934273505e-01, 2.071163932282514e-01, - -2.071163932282514e-01, 9.561409934273505e-01, 2.071163932282514e-01, - 2.071163932282514e-01, -9.561409934273505e-01, 2.071163932282514e-01, - -2.071163932282514e-01, -9.561409934273505e-01, 2.071163932282514e-01, - 2.071163932282514e-01, 9.561409934273505e-01, -2.071163932282514e-01, - -2.071163932282514e-01, 9.561409934273505e-01, -2.071163932282514e-01, - 2.071163932282514e-01, -9.561409934273505e-01, -2.071163932282514e-01, - -2.071163932282514e-01, -9.561409934273505e-01, -2.071163932282514e-01, - 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Quadrature specification for Order = 230 - * + * */ template struct lebedev_laikov_230 { + static constexpr std::array, 230> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 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-8.436365210688943e-01, -2.272181808998187e-01, 4.864661535886647e-01, + 8.436365210688943e-01, 2.272181808998187e-01, -4.864661535886647e-01, + -8.436365210688943e-01, 2.272181808998187e-01, -4.864661535886647e-01, + 8.436365210688943e-01, -2.272181808998187e-01, -4.864661535886647e-01, + -8.436365210688943e-01, -2.272181808998187e-01, -4.864661535886647e-01, + 8.436365210688943e-01, 4.864661535886647e-01, 2.272181808998187e-01, + -8.436365210688943e-01, 4.864661535886647e-01, 2.272181808998187e-01, + 8.436365210688943e-01, -4.864661535886647e-01, 2.272181808998187e-01, + -8.436365210688943e-01, -4.864661535886647e-01, 2.272181808998187e-01, + 8.436365210688943e-01, 4.864661535886647e-01, -2.272181808998187e-01, + -8.436365210688943e-01, 4.864661535886647e-01, -2.272181808998187e-01, + 8.436365210688943e-01, -4.864661535886647e-01, -2.272181808998187e-01, + -8.436365210688943e-01, -4.864661535886647e-01, -2.272181808998187e-01}; - static constexpr std::array,230> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.492044687397611e-01, 4.492044687397611e-01, 7.722892531483641e-01, - -4.492044687397611e-01, 4.492044687397611e-01, 7.722892531483641e-01, - 4.492044687397611e-01, -4.492044687397611e-01, 7.722892531483641e-01, - -4.492044687397611e-01, -4.492044687397611e-01, 7.722892531483641e-01, - 4.492044687397611e-01, 4.492044687397611e-01, -7.722892531483641e-01, - -4.492044687397611e-01, 4.492044687397611e-01, -7.722892531483641e-01, - 4.492044687397611e-01, -4.492044687397611e-01, -7.722892531483641e-01, - -4.492044687397611e-01, -4.492044687397611e-01, -7.722892531483641e-01, - 4.492044687397611e-01, 7.722892531483641e-01, 4.492044687397611e-01, - -4.492044687397611e-01, 7.722892531483641e-01, 4.492044687397611e-01, - 4.492044687397611e-01, -7.722892531483641e-01, 4.492044687397611e-01, - -4.492044687397611e-01, -7.722892531483641e-01, 4.492044687397611e-01, - 4.492044687397611e-01, 7.722892531483641e-01, -4.492044687397611e-01, - -4.492044687397611e-01, 7.722892531483641e-01, -4.492044687397611e-01, - 4.492044687397611e-01, -7.722892531483641e-01, -4.492044687397611e-01, - -4.492044687397611e-01, -7.722892531483641e-01, -4.492044687397611e-01, - 7.722892531483641e-01, 4.492044687397611e-01, 4.492044687397611e-01, - -7.722892531483641e-01, 4.492044687397611e-01, 4.492044687397611e-01, - 7.722892531483641e-01, -4.492044687397611e-01, 4.492044687397611e-01, - -7.722892531483641e-01, -4.492044687397611e-01, 4.492044687397611e-01, - 7.722892531483641e-01, 4.492044687397611e-01, -4.492044687397611e-01, - -7.722892531483641e-01, 4.492044687397611e-01, -4.492044687397611e-01, - 7.722892531483641e-01, -4.492044687397611e-01, -4.492044687397611e-01, - -7.722892531483641e-01, -4.492044687397611e-01, -4.492044687397611e-01, - 2.520419490210201e-01, 2.520419490210201e-01, 9.343177788458117e-01, - -2.520419490210201e-01, 2.520419490210201e-01, 9.343177788458117e-01, - 2.520419490210201e-01, -2.520419490210201e-01, 9.343177788458117e-01, - -2.520419490210201e-01, -2.520419490210201e-01, 9.343177788458117e-01, - 2.520419490210201e-01, 2.520419490210201e-01, -9.343177788458117e-01, - -2.520419490210201e-01, 2.520419490210201e-01, -9.343177788458117e-01, - 2.520419490210201e-01, -2.520419490210201e-01, -9.343177788458117e-01, - -2.520419490210201e-01, -2.520419490210201e-01, -9.343177788458117e-01, - 2.520419490210201e-01, 9.343177788458117e-01, 2.520419490210201e-01, - -2.520419490210201e-01, 9.343177788458117e-01, 2.520419490210201e-01, - 2.520419490210201e-01, -9.343177788458117e-01, 2.520419490210201e-01, - -2.520419490210201e-01, -9.343177788458117e-01, 2.520419490210201e-01, - 2.520419490210201e-01, 9.343177788458117e-01, -2.520419490210201e-01, - -2.520419490210201e-01, 9.343177788458117e-01, -2.520419490210201e-01, - 2.520419490210201e-01, -9.343177788458117e-01, -2.520419490210201e-01, - -2.520419490210201e-01, -9.343177788458117e-01, -2.520419490210201e-01, - 9.343177788458117e-01, 2.520419490210201e-01, 2.520419490210201e-01, - -9.343177788458117e-01, 2.520419490210201e-01, 2.520419490210201e-01, - 9.343177788458117e-01, -2.520419490210201e-01, 2.520419490210201e-01, - -9.343177788458117e-01, -2.520419490210201e-01, 2.520419490210201e-01, - 9.343177788458117e-01, 2.520419490210201e-01, -2.520419490210201e-01, - -9.343177788458117e-01, 2.520419490210201e-01, -2.520419490210201e-01, - 9.343177788458117e-01, -2.520419490210201e-01, -2.520419490210201e-01, - -9.343177788458117e-01, -2.520419490210201e-01, -2.520419490210201e-01, - 6.981906658447242e-01, 6.981906658447242e-01, 1.583022054634783e-01, - -6.981906658447242e-01, 6.981906658447242e-01, 1.583022054634783e-01, - 6.981906658447242e-01, -6.981906658447242e-01, 1.583022054634783e-01, - -6.981906658447242e-01, -6.981906658447242e-01, 1.583022054634783e-01, - 6.981906658447242e-01, 6.981906658447242e-01, -1.583022054634783e-01, - -6.981906658447242e-01, 6.981906658447242e-01, -1.583022054634783e-01, - 6.981906658447242e-01, -6.981906658447242e-01, -1.583022054634783e-01, - -6.981906658447242e-01, -6.981906658447242e-01, -1.583022054634783e-01, - 6.981906658447242e-01, 1.583022054634783e-01, 6.981906658447242e-01, - -6.981906658447242e-01, 1.583022054634783e-01, 6.981906658447242e-01, - 6.981906658447242e-01, -1.583022054634783e-01, 6.981906658447242e-01, - -6.981906658447242e-01, -1.583022054634783e-01, 6.981906658447242e-01, - 6.981906658447242e-01, 1.583022054634783e-01, -6.981906658447242e-01, - -6.981906658447242e-01, 1.583022054634783e-01, -6.981906658447242e-01, - 6.981906658447242e-01, -1.583022054634783e-01, -6.981906658447242e-01, - -6.981906658447242e-01, -1.583022054634783e-01, -6.981906658447242e-01, - 1.583022054634783e-01, 6.981906658447242e-01, 6.981906658447242e-01, - -1.583022054634783e-01, 6.981906658447242e-01, 6.981906658447242e-01, - 1.583022054634783e-01, -6.981906658447242e-01, 6.981906658447242e-01, - -1.583022054634783e-01, -6.981906658447242e-01, 6.981906658447242e-01, - 1.583022054634783e-01, 6.981906658447242e-01, -6.981906658447242e-01, - -1.583022054634783e-01, 6.981906658447242e-01, -6.981906658447242e-01, - 1.583022054634783e-01, -6.981906658447242e-01, -6.981906658447242e-01, - -1.583022054634783e-01, -6.981906658447242e-01, -6.981906658447242e-01, - 6.587405243460960e-01, 6.587405243460960e-01, 3.634856849567271e-01, - -6.587405243460960e-01, 6.587405243460960e-01, 3.634856849567271e-01, - 6.587405243460960e-01, -6.587405243460960e-01, 3.634856849567271e-01, - -6.587405243460960e-01, -6.587405243460960e-01, 3.634856849567271e-01, - 6.587405243460960e-01, 6.587405243460960e-01, -3.634856849567271e-01, - -6.587405243460960e-01, 6.587405243460960e-01, -3.634856849567271e-01, - 6.587405243460960e-01, -6.587405243460960e-01, -3.634856849567271e-01, - -6.587405243460960e-01, -6.587405243460960e-01, -3.634856849567271e-01, - 6.587405243460960e-01, 3.634856849567271e-01, 6.587405243460960e-01, - -6.587405243460960e-01, 3.634856849567271e-01, 6.587405243460960e-01, - 6.587405243460960e-01, -3.634856849567271e-01, 6.587405243460960e-01, - -6.587405243460960e-01, -3.634856849567271e-01, 6.587405243460960e-01, - 6.587405243460960e-01, 3.634856849567271e-01, -6.587405243460960e-01, - -6.587405243460960e-01, 3.634856849567271e-01, -6.587405243460960e-01, - 6.587405243460960e-01, -3.634856849567271e-01, -6.587405243460960e-01, - -6.587405243460960e-01, -3.634856849567271e-01, -6.587405243460960e-01, - 3.634856849567271e-01, 6.587405243460960e-01, 6.587405243460960e-01, - -3.634856849567271e-01, 6.587405243460960e-01, 6.587405243460960e-01, - 3.634856849567271e-01, -6.587405243460960e-01, 6.587405243460960e-01, - -3.634856849567271e-01, -6.587405243460960e-01, 6.587405243460960e-01, - 3.634856849567271e-01, 6.587405243460960e-01, -6.587405243460960e-01, - -3.634856849567271e-01, 6.587405243460960e-01, -6.587405243460960e-01, - 3.634856849567271e-01, -6.587405243460960e-01, -6.587405243460960e-01, - -3.634856849567271e-01, -6.587405243460960e-01, -6.587405243460960e-01, - 4.038544050097660e-02, 4.038544050097660e-02, 9.983676839677275e-01, - -4.038544050097660e-02, 4.038544050097660e-02, 9.983676839677275e-01, - 4.038544050097660e-02, -4.038544050097660e-02, 9.983676839677275e-01, - -4.038544050097660e-02, -4.038544050097660e-02, 9.983676839677275e-01, - 4.038544050097660e-02, 4.038544050097660e-02, -9.983676839677275e-01, - -4.038544050097660e-02, 4.038544050097660e-02, -9.983676839677275e-01, - 4.038544050097660e-02, -4.038544050097660e-02, -9.983676839677275e-01, - -4.038544050097660e-02, -4.038544050097660e-02, -9.983676839677275e-01, - 4.038544050097660e-02, 9.983676839677275e-01, 4.038544050097660e-02, - -4.038544050097660e-02, 9.983676839677275e-01, 4.038544050097660e-02, - 4.038544050097660e-02, -9.983676839677275e-01, 4.038544050097660e-02, - -4.038544050097660e-02, -9.983676839677275e-01, 4.038544050097660e-02, - 4.038544050097660e-02, 9.983676839677275e-01, -4.038544050097660e-02, - -4.038544050097660e-02, 9.983676839677275e-01, -4.038544050097660e-02, - 4.038544050097660e-02, -9.983676839677275e-01, -4.038544050097660e-02, - -4.038544050097660e-02, -9.983676839677275e-01, -4.038544050097660e-02, - 9.983676839677275e-01, 4.038544050097660e-02, 4.038544050097660e-02, - -9.983676839677275e-01, 4.038544050097660e-02, 4.038544050097660e-02, - 9.983676839677275e-01, -4.038544050097660e-02, 4.038544050097660e-02, - -9.983676839677275e-01, -4.038544050097660e-02, 4.038544050097660e-02, - 9.983676839677275e-01, 4.038544050097660e-02, -4.038544050097660e-02, - -9.983676839677275e-01, 4.038544050097660e-02, -4.038544050097660e-02, - 9.983676839677275e-01, -4.038544050097660e-02, -4.038544050097660e-02, - -9.983676839677275e-01, -4.038544050097660e-02, -4.038544050097660e-02, - 5.823842309715584e-01, 8.129136531733653e-01, 0.000000000000000e+00, - -5.823842309715584e-01, 8.129136531733653e-01, 0.000000000000000e+00, - 5.823842309715584e-01, -8.129136531733653e-01, 0.000000000000000e+00, - -5.823842309715584e-01, -8.129136531733653e-01, 0.000000000000000e+00, - 8.129136531733653e-01, 5.823842309715584e-01, 0.000000000000000e+00, - -8.129136531733653e-01, 5.823842309715584e-01, 0.000000000000000e+00, - 8.129136531733653e-01, -5.823842309715584e-01, 0.000000000000000e+00, - -8.129136531733653e-01, -5.823842309715584e-01, 0.000000000000000e+00, - 5.823842309715584e-01, 0.000000000000000e+00, 8.129136531733653e-01, - -5.823842309715584e-01, 0.000000000000000e+00, 8.129136531733653e-01, - 5.823842309715584e-01, 0.000000000000000e+00, -8.129136531733653e-01, - -5.823842309715584e-01, 0.000000000000000e+00, -8.129136531733653e-01, - 8.129136531733653e-01, 0.000000000000000e+00, 5.823842309715584e-01, - -8.129136531733653e-01, 0.000000000000000e+00, 5.823842309715584e-01, - 8.129136531733653e-01, 0.000000000000000e+00, -5.823842309715584e-01, - -8.129136531733653e-01, 0.000000000000000e+00, -5.823842309715584e-01, - 0.000000000000000e+00, 5.823842309715584e-01, 8.129136531733653e-01, - 0.000000000000000e+00, -5.823842309715584e-01, 8.129136531733653e-01, - 0.000000000000000e+00, 5.823842309715584e-01, -8.129136531733653e-01, - 0.000000000000000e+00, -5.823842309715584e-01, -8.129136531733653e-01, - 0.000000000000000e+00, 8.129136531733653e-01, 5.823842309715584e-01, - 0.000000000000000e+00, -8.129136531733653e-01, 5.823842309715584e-01, - 0.000000000000000e+00, 8.129136531733653e-01, -5.823842309715584e-01, - 0.000000000000000e+00, -8.129136531733653e-01, -5.823842309715584e-01, - 3.545877390518688e-01, 9.350227458805930e-01, 0.000000000000000e+00, - -3.545877390518688e-01, 9.350227458805930e-01, 0.000000000000000e+00, - 3.545877390518688e-01, -9.350227458805930e-01, 0.000000000000000e+00, - -3.545877390518688e-01, -9.350227458805930e-01, 0.000000000000000e+00, - 9.350227458805930e-01, 3.545877390518688e-01, 0.000000000000000e+00, - -9.350227458805930e-01, 3.545877390518688e-01, 0.000000000000000e+00, - 9.350227458805930e-01, -3.545877390518688e-01, 0.000000000000000e+00, - -9.350227458805930e-01, -3.545877390518688e-01, 0.000000000000000e+00, - 3.545877390518688e-01, 0.000000000000000e+00, 9.350227458805930e-01, - -3.545877390518688e-01, 0.000000000000000e+00, 9.350227458805930e-01, - 3.545877390518688e-01, 0.000000000000000e+00, -9.350227458805930e-01, - -3.545877390518688e-01, 0.000000000000000e+00, -9.350227458805930e-01, - 9.350227458805930e-01, 0.000000000000000e+00, 3.545877390518688e-01, - -9.350227458805930e-01, 0.000000000000000e+00, 3.545877390518688e-01, - 9.350227458805930e-01, 0.000000000000000e+00, -3.545877390518688e-01, - -9.350227458805930e-01, 0.000000000000000e+00, -3.545877390518688e-01, - 0.000000000000000e+00, 3.545877390518688e-01, 9.350227458805930e-01, - 0.000000000000000e+00, -3.545877390518688e-01, 9.350227458805930e-01, - 0.000000000000000e+00, 3.545877390518688e-01, -9.350227458805930e-01, - 0.000000000000000e+00, -3.545877390518688e-01, -9.350227458805930e-01, - 0.000000000000000e+00, 9.350227458805930e-01, 3.545877390518688e-01, - 0.000000000000000e+00, -9.350227458805930e-01, 3.545877390518688e-01, - 0.000000000000000e+00, 9.350227458805930e-01, -3.545877390518688e-01, - 0.000000000000000e+00, -9.350227458805930e-01, -3.545877390518688e-01, - 2.272181808998187e-01, 4.864661535886647e-01, 8.436365210688943e-01, - -2.272181808998187e-01, 4.864661535886647e-01, 8.436365210688943e-01, - 2.272181808998187e-01, -4.864661535886647e-01, 8.436365210688943e-01, - -2.272181808998187e-01, -4.864661535886647e-01, 8.436365210688943e-01, - 2.272181808998187e-01, 4.864661535886647e-01, -8.436365210688943e-01, - -2.272181808998187e-01, 4.864661535886647e-01, -8.436365210688943e-01, - 2.272181808998187e-01, -4.864661535886647e-01, -8.436365210688943e-01, - -2.272181808998187e-01, -4.864661535886647e-01, -8.436365210688943e-01, - 2.272181808998187e-01, 8.436365210688943e-01, 4.864661535886647e-01, - -2.272181808998187e-01, 8.436365210688943e-01, 4.864661535886647e-01, - 2.272181808998187e-01, -8.436365210688943e-01, 4.864661535886647e-01, - -2.272181808998187e-01, -8.436365210688943e-01, 4.864661535886647e-01, - 2.272181808998187e-01, 8.436365210688943e-01, -4.864661535886647e-01, - -2.272181808998187e-01, 8.436365210688943e-01, -4.864661535886647e-01, - 2.272181808998187e-01, -8.436365210688943e-01, -4.864661535886647e-01, - -2.272181808998187e-01, -8.436365210688943e-01, -4.864661535886647e-01, - 4.864661535886647e-01, 2.272181808998187e-01, 8.436365210688943e-01, - -4.864661535886647e-01, 2.272181808998187e-01, 8.436365210688943e-01, - 4.864661535886647e-01, -2.272181808998187e-01, 8.436365210688943e-01, - -4.864661535886647e-01, -2.272181808998187e-01, 8.436365210688943e-01, - 4.864661535886647e-01, 2.272181808998187e-01, -8.436365210688943e-01, - -4.864661535886647e-01, 2.272181808998187e-01, -8.436365210688943e-01, - 4.864661535886647e-01, -2.272181808998187e-01, -8.436365210688943e-01, - -4.864661535886647e-01, -2.272181808998187e-01, -8.436365210688943e-01, - 4.864661535886647e-01, 8.436365210688943e-01, 2.272181808998187e-01, - -4.864661535886647e-01, 8.436365210688943e-01, 2.272181808998187e-01, - 4.864661535886647e-01, -8.436365210688943e-01, 2.272181808998187e-01, - -4.864661535886647e-01, -8.436365210688943e-01, 2.272181808998187e-01, - 4.864661535886647e-01, 8.436365210688943e-01, -2.272181808998187e-01, - -4.864661535886647e-01, 8.436365210688943e-01, -2.272181808998187e-01, - 4.864661535886647e-01, -8.436365210688943e-01, -2.272181808998187e-01, - -4.864661535886647e-01, -8.436365210688943e-01, -2.272181808998187e-01, - 8.436365210688943e-01, 2.272181808998187e-01, 4.864661535886647e-01, - -8.436365210688943e-01, 2.272181808998187e-01, 4.864661535886647e-01, - 8.436365210688943e-01, -2.272181808998187e-01, 4.864661535886647e-01, - -8.436365210688943e-01, -2.272181808998187e-01, 4.864661535886647e-01, - 8.436365210688943e-01, 2.272181808998187e-01, -4.864661535886647e-01, - -8.436365210688943e-01, 2.272181808998187e-01, -4.864661535886647e-01, - 8.436365210688943e-01, -2.272181808998187e-01, -4.864661535886647e-01, - -8.436365210688943e-01, -2.272181808998187e-01, -4.864661535886647e-01, - 8.436365210688943e-01, 4.864661535886647e-01, 2.272181808998187e-01, - -8.436365210688943e-01, 4.864661535886647e-01, 2.272181808998187e-01, - 8.436365210688943e-01, -4.864661535886647e-01, 2.272181808998187e-01, - -8.436365210688943e-01, -4.864661535886647e-01, 2.272181808998187e-01, - 8.436365210688943e-01, 4.864661535886647e-01, -2.272181808998187e-01, - -8.436365210688943e-01, 4.864661535886647e-01, -2.272181808998187e-01, - 8.436365210688943e-01, -4.864661535886647e-01, -2.272181808998187e-01, - -8.436365210688943e-01, -4.864661535886647e-01, -2.272181808998187e-01 - }; - - - static constexpr std::array weights = { - -5.522639919727325e-02, - -5.522639919727325e-02, - -5.522639919727325e-02, - -5.522639919727325e-02, - 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- 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03, - 4.695720972568883e-03 - }; + static constexpr std::array weights = { + -5.522639919727325e-02, -5.522639919727325e-02, -5.522639919727325e-02, + -5.522639919727325e-02, -5.522639919727325e-02, -5.522639919727325e-02, + 4.450274607445226e-03, 4.450274607445226e-03, 4.450274607445226e-03, + 4.450274607445226e-03, 4.450274607445226e-03, 4.450274607445226e-03, + 4.450274607445226e-03, 4.450274607445226e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 4.496841067921404e-03, + 4.496841067921404e-03, 4.496841067921404e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 5.049153450478750e-03, 5.049153450478750e-03, 5.049153450478750e-03, + 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4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03, 4.695720972568883e-03, + 4.695720972568883e-03, 4.695720972568883e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2354.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2354.hpp index 99aeef2..67c1a0f 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2354.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2354.hpp @@ -5,4725 +5,3152 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 2354 - * + * */ template struct lebedev_laikov_2354 { + static constexpr std::array, 2354> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 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-7.503229229740002e-01, -4.589901487275583e-02, -6.594761494500487e-01}; - static constexpr std::array,2354> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 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4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04, 4.691445539106986e-04, + 4.691445539106986e-04, 4.691445539106986e-04}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_26.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_26.hpp index 850ab34..3955247 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_26.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_26.hpp @@ -5,69 +5,48 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 26 - * + * */ template struct lebedev_laikov_26 { + static constexpr std::array, 26> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01}; - static constexpr std::array,26> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01 - }; - - - static constexpr std::array weights = { - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 4.761904761904762e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.809523809523810e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02 - }; + static constexpr std::array weights = { + 4.761904761904762e-02, 4.761904761904762e-02, 4.761904761904762e-02, + 4.761904761904762e-02, 4.761904761904762e-02, 4.761904761904762e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.809523809523810e-02, 3.809523809523810e-02, 3.809523809523810e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_266.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_266.hpp index 2267837..f022103 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_266.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_266.hpp @@ -5,549 +5,368 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 266 - * + * */ template struct lebedev_laikov_266 { + static constexpr std::array, 266> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 7.039373391585475e-01, 7.039373391585475e-01, 9.457507640371310e-02, + -7.039373391585475e-01, 7.039373391585475e-01, 9.457507640371310e-02, + 7.039373391585475e-01, -7.039373391585475e-01, 9.457507640371310e-02, + -7.039373391585475e-01, -7.039373391585475e-01, 9.457507640371310e-02, + 7.039373391585475e-01, 7.039373391585475e-01, -9.457507640371310e-02, + -7.039373391585475e-01, 7.039373391585475e-01, -9.457507640371310e-02, + 7.039373391585475e-01, -7.039373391585475e-01, -9.457507640371310e-02, + -7.039373391585475e-01, -7.039373391585475e-01, -9.457507640371310e-02, + 7.039373391585475e-01, 9.457507640371310e-02, 7.039373391585475e-01, + -7.039373391585475e-01, 9.457507640371310e-02, 7.039373391585475e-01, + 7.039373391585475e-01, -9.457507640371310e-02, 7.039373391585475e-01, + -7.039373391585475e-01, -9.457507640371310e-02, 7.039373391585475e-01, + 7.039373391585475e-01, 9.457507640371310e-02, -7.039373391585475e-01, + -7.039373391585475e-01, 9.457507640371310e-02, -7.039373391585475e-01, + 7.039373391585475e-01, -9.457507640371310e-02, -7.039373391585475e-01, + -7.039373391585475e-01, -9.457507640371310e-02, -7.039373391585475e-01, + 9.457507640371310e-02, 7.039373391585475e-01, 7.039373391585475e-01, + -9.457507640371310e-02, 7.039373391585475e-01, 7.039373391585475e-01, + 9.457507640371310e-02, -7.039373391585475e-01, 7.039373391585475e-01, + -9.457507640371310e-02, -7.039373391585475e-01, 7.039373391585475e-01, + 9.457507640371310e-02, 7.039373391585475e-01, -7.039373391585475e-01, + -9.457507640371310e-02, 7.039373391585475e-01, -7.039373391585475e-01, + 9.457507640371310e-02, -7.039373391585475e-01, -7.039373391585475e-01, + -9.457507640371310e-02, -7.039373391585475e-01, -7.039373391585475e-01, + 1.012526248572414e-01, 1.012526248572414e-01, 9.896948074629054e-01, + -1.012526248572414e-01, 1.012526248572414e-01, 9.896948074629054e-01, + 1.012526248572414e-01, -1.012526248572414e-01, 9.896948074629054e-01, + -1.012526248572414e-01, -1.012526248572414e-01, 9.896948074629054e-01, + 1.012526248572414e-01, 1.012526248572414e-01, -9.896948074629054e-01, + -1.012526248572414e-01, 1.012526248572414e-01, -9.896948074629054e-01, + 1.012526248572414e-01, -1.012526248572414e-01, -9.896948074629054e-01, + -1.012526248572414e-01, -1.012526248572414e-01, -9.896948074629054e-01, + 1.012526248572414e-01, 9.896948074629054e-01, 1.012526248572414e-01, + -1.012526248572414e-01, 9.896948074629054e-01, 1.012526248572414e-01, + 1.012526248572414e-01, -9.896948074629054e-01, 1.012526248572414e-01, + -1.012526248572414e-01, -9.896948074629054e-01, 1.012526248572414e-01, + 1.012526248572414e-01, 9.896948074629054e-01, -1.012526248572414e-01, + -1.012526248572414e-01, 9.896948074629054e-01, -1.012526248572414e-01, + 1.012526248572414e-01, -9.896948074629054e-01, -1.012526248572414e-01, + -1.012526248572414e-01, -9.896948074629054e-01, -1.012526248572414e-01, + 9.896948074629054e-01, 1.012526248572414e-01, 1.012526248572414e-01, + -9.896948074629054e-01, 1.012526248572414e-01, 1.012526248572414e-01, + 9.896948074629054e-01, -1.012526248572414e-01, 1.012526248572414e-01, + -9.896948074629054e-01, -1.012526248572414e-01, 1.012526248572414e-01, + 9.896948074629054e-01, 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2.314790158712601e-01, + 8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, + -8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, + 8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01, + -8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01}; - static constexpr std::array,266> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 7.039373391585475e-01, 7.039373391585475e-01, 9.457507640371310e-02, - -7.039373391585475e-01, 7.039373391585475e-01, 9.457507640371310e-02, - 7.039373391585475e-01, -7.039373391585475e-01, 9.457507640371310e-02, - -7.039373391585475e-01, -7.039373391585475e-01, 9.457507640371310e-02, - 7.039373391585475e-01, 7.039373391585475e-01, -9.457507640371310e-02, - -7.039373391585475e-01, 7.039373391585475e-01, -9.457507640371310e-02, - 7.039373391585475e-01, -7.039373391585475e-01, -9.457507640371310e-02, - -7.039373391585475e-01, -7.039373391585475e-01, -9.457507640371310e-02, - 7.039373391585475e-01, 9.457507640371310e-02, 7.039373391585475e-01, - -7.039373391585475e-01, 9.457507640371310e-02, 7.039373391585475e-01, - 7.039373391585475e-01, -9.457507640371310e-02, 7.039373391585475e-01, - -7.039373391585475e-01, -9.457507640371310e-02, 7.039373391585475e-01, - 7.039373391585475e-01, 9.457507640371310e-02, -7.039373391585475e-01, - -7.039373391585475e-01, 9.457507640371310e-02, -7.039373391585475e-01, - 7.039373391585475e-01, -9.457507640371310e-02, -7.039373391585475e-01, - -7.039373391585475e-01, -9.457507640371310e-02, -7.039373391585475e-01, - 9.457507640371310e-02, 7.039373391585475e-01, 7.039373391585475e-01, - -9.457507640371310e-02, 7.039373391585475e-01, 7.039373391585475e-01, - 9.457507640371310e-02, -7.039373391585475e-01, 7.039373391585475e-01, - -9.457507640371310e-02, -7.039373391585475e-01, 7.039373391585475e-01, - 9.457507640371310e-02, 7.039373391585475e-01, -7.039373391585475e-01, - -9.457507640371310e-02, 7.039373391585475e-01, -7.039373391585475e-01, - 9.457507640371310e-02, -7.039373391585475e-01, -7.039373391585475e-01, - -9.457507640371310e-02, -7.039373391585475e-01, -7.039373391585475e-01, - 1.012526248572414e-01, 1.012526248572414e-01, 9.896948074629054e-01, - -1.012526248572414e-01, 1.012526248572414e-01, 9.896948074629054e-01, - 1.012526248572414e-01, -1.012526248572414e-01, 9.896948074629054e-01, - -1.012526248572414e-01, -1.012526248572414e-01, 9.896948074629054e-01, - 1.012526248572414e-01, 1.012526248572414e-01, -9.896948074629054e-01, - -1.012526248572414e-01, 1.012526248572414e-01, -9.896948074629054e-01, - 1.012526248572414e-01, -1.012526248572414e-01, -9.896948074629054e-01, - -1.012526248572414e-01, -1.012526248572414e-01, -9.896948074629054e-01, - 1.012526248572414e-01, 9.896948074629054e-01, 1.012526248572414e-01, - -1.012526248572414e-01, 9.896948074629054e-01, 1.012526248572414e-01, - 1.012526248572414e-01, -9.896948074629054e-01, 1.012526248572414e-01, - -1.012526248572414e-01, -9.896948074629054e-01, 1.012526248572414e-01, - 1.012526248572414e-01, 9.896948074629054e-01, -1.012526248572414e-01, - -1.012526248572414e-01, 9.896948074629054e-01, -1.012526248572414e-01, - 1.012526248572414e-01, -9.896948074629054e-01, -1.012526248572414e-01, - -1.012526248572414e-01, -9.896948074629054e-01, -1.012526248572414e-01, - 9.896948074629054e-01, 1.012526248572414e-01, 1.012526248572414e-01, - -9.896948074629054e-01, 1.012526248572414e-01, 1.012526248572414e-01, - 9.896948074629054e-01, -1.012526248572414e-01, 1.012526248572414e-01, - -9.896948074629054e-01, -1.012526248572414e-01, 1.012526248572414e-01, - 9.896948074629054e-01, 1.012526248572414e-01, -1.012526248572414e-01, - -9.896948074629054e-01, 1.012526248572414e-01, -1.012526248572414e-01, - 9.896948074629054e-01, -1.012526248572414e-01, -1.012526248572414e-01, - -9.896948074629054e-01, -1.012526248572414e-01, -1.012526248572414e-01, - 4.647448726420539e-01, 4.647448726420539e-01, 7.536739392508157e-01, - -4.647448726420539e-01, 4.647448726420539e-01, 7.536739392508157e-01, - 4.647448726420539e-01, -4.647448726420539e-01, 7.536739392508157e-01, - -4.647448726420539e-01, -4.647448726420539e-01, 7.536739392508157e-01, - 4.647448726420539e-01, 4.647448726420539e-01, -7.536739392508157e-01, - -4.647448726420539e-01, 4.647448726420539e-01, -7.536739392508157e-01, - 4.647448726420539e-01, -4.647448726420539e-01, -7.536739392508157e-01, - -4.647448726420539e-01, -4.647448726420539e-01, -7.536739392508157e-01, - 4.647448726420539e-01, 7.536739392508157e-01, 4.647448726420539e-01, - -4.647448726420539e-01, 7.536739392508157e-01, 4.647448726420539e-01, - 4.647448726420539e-01, -7.536739392508157e-01, 4.647448726420539e-01, - -4.647448726420539e-01, -7.536739392508157e-01, 4.647448726420539e-01, - 4.647448726420539e-01, 7.536739392508157e-01, -4.647448726420539e-01, - -4.647448726420539e-01, 7.536739392508157e-01, -4.647448726420539e-01, - 4.647448726420539e-01, -7.536739392508157e-01, -4.647448726420539e-01, - -4.647448726420539e-01, -7.536739392508157e-01, -4.647448726420539e-01, - 7.536739392508157e-01, 4.647448726420539e-01, 4.647448726420539e-01, - -7.536739392508157e-01, 4.647448726420539e-01, 4.647448726420539e-01, - 7.536739392508157e-01, -4.647448726420539e-01, 4.647448726420539e-01, - -7.536739392508157e-01, -4.647448726420539e-01, 4.647448726420539e-01, - 7.536739392508157e-01, 4.647448726420539e-01, -4.647448726420539e-01, - -7.536739392508157e-01, 4.647448726420539e-01, -4.647448726420539e-01, - 7.536739392508157e-01, -4.647448726420539e-01, -4.647448726420539e-01, - -7.536739392508157e-01, -4.647448726420539e-01, -4.647448726420539e-01, - 3.277420654971629e-01, 3.277420654971629e-01, 8.860983449974991e-01, - -3.277420654971629e-01, 3.277420654971629e-01, 8.860983449974991e-01, - 3.277420654971629e-01, -3.277420654971629e-01, 8.860983449974991e-01, - -3.277420654971629e-01, -3.277420654971629e-01, 8.860983449974991e-01, - 3.277420654971629e-01, 3.277420654971629e-01, -8.860983449974991e-01, - -3.277420654971629e-01, 3.277420654971629e-01, -8.860983449974991e-01, - 3.277420654971629e-01, -3.277420654971629e-01, -8.860983449974991e-01, - -3.277420654971629e-01, -3.277420654971629e-01, -8.860983449974991e-01, - 3.277420654971629e-01, 8.860983449974991e-01, 3.277420654971629e-01, - -3.277420654971629e-01, 8.860983449974991e-01, 3.277420654971629e-01, - 3.277420654971629e-01, -8.860983449974991e-01, 3.277420654971629e-01, - -3.277420654971629e-01, -8.860983449974991e-01, 3.277420654971629e-01, - 3.277420654971629e-01, 8.860983449974991e-01, -3.277420654971629e-01, - -3.277420654971629e-01, 8.860983449974991e-01, -3.277420654971629e-01, - 3.277420654971629e-01, -8.860983449974991e-01, -3.277420654971629e-01, - -3.277420654971629e-01, -8.860983449974991e-01, -3.277420654971629e-01, - 8.860983449974991e-01, 3.277420654971629e-01, 3.277420654971629e-01, - -8.860983449974991e-01, 3.277420654971629e-01, 3.277420654971629e-01, - 8.860983449974991e-01, -3.277420654971629e-01, 3.277420654971629e-01, - -8.860983449974991e-01, -3.277420654971629e-01, 3.277420654971629e-01, - 8.860983449974991e-01, 3.277420654971629e-01, -3.277420654971629e-01, - -8.860983449974991e-01, 3.277420654971629e-01, -3.277420654971629e-01, - 8.860983449974991e-01, -3.277420654971629e-01, -3.277420654971629e-01, - -8.860983449974991e-01, -3.277420654971629e-01, -3.277420654971629e-01, - 6.620338663699974e-01, 6.620338663699974e-01, 3.513151285646334e-01, - -6.620338663699974e-01, 6.620338663699974e-01, 3.513151285646334e-01, - 6.620338663699974e-01, -6.620338663699974e-01, 3.513151285646334e-01, - -6.620338663699974e-01, -6.620338663699974e-01, 3.513151285646334e-01, - 6.620338663699974e-01, 6.620338663699974e-01, -3.513151285646334e-01, - -6.620338663699974e-01, 6.620338663699974e-01, -3.513151285646334e-01, - 6.620338663699974e-01, -6.620338663699974e-01, -3.513151285646334e-01, - -6.620338663699974e-01, -6.620338663699974e-01, -3.513151285646334e-01, - 6.620338663699974e-01, 3.513151285646334e-01, 6.620338663699974e-01, - -6.620338663699974e-01, 3.513151285646334e-01, 6.620338663699974e-01, - 6.620338663699974e-01, -3.513151285646334e-01, 6.620338663699974e-01, - -6.620338663699974e-01, -3.513151285646334e-01, 6.620338663699974e-01, - 6.620338663699974e-01, 3.513151285646334e-01, -6.620338663699974e-01, - -6.620338663699974e-01, 3.513151285646334e-01, -6.620338663699974e-01, - 6.620338663699974e-01, -3.513151285646334e-01, -6.620338663699974e-01, - -6.620338663699974e-01, -3.513151285646334e-01, -6.620338663699974e-01, - 3.513151285646334e-01, 6.620338663699974e-01, 6.620338663699974e-01, - -3.513151285646334e-01, 6.620338663699974e-01, 6.620338663699974e-01, - 3.513151285646334e-01, -6.620338663699974e-01, 6.620338663699974e-01, - -3.513151285646334e-01, -6.620338663699974e-01, 6.620338663699974e-01, - 3.513151285646334e-01, 6.620338663699974e-01, -6.620338663699974e-01, - -3.513151285646334e-01, 6.620338663699974e-01, -6.620338663699974e-01, - 3.513151285646334e-01, -6.620338663699974e-01, -6.620338663699974e-01, - -3.513151285646334e-01, -6.620338663699974e-01, -6.620338663699974e-01, - 8.506508083520399e-01, 5.257311121191337e-01, 0.000000000000000e+00, - -8.506508083520399e-01, 5.257311121191337e-01, 0.000000000000000e+00, - 8.506508083520399e-01, -5.257311121191337e-01, 0.000000000000000e+00, - -8.506508083520399e-01, -5.257311121191337e-01, 0.000000000000000e+00, - 5.257311121191337e-01, 8.506508083520399e-01, 0.000000000000000e+00, - -5.257311121191337e-01, 8.506508083520399e-01, 0.000000000000000e+00, - 5.257311121191337e-01, -8.506508083520399e-01, 0.000000000000000e+00, - -5.257311121191337e-01, -8.506508083520399e-01, 0.000000000000000e+00, - 8.506508083520399e-01, 0.000000000000000e+00, 5.257311121191337e-01, - -8.506508083520399e-01, 0.000000000000000e+00, 5.257311121191337e-01, - 8.506508083520399e-01, 0.000000000000000e+00, -5.257311121191337e-01, - -8.506508083520399e-01, 0.000000000000000e+00, -5.257311121191337e-01, - 5.257311121191337e-01, 0.000000000000000e+00, 8.506508083520399e-01, - -5.257311121191337e-01, 0.000000000000000e+00, 8.506508083520399e-01, - 5.257311121191337e-01, 0.000000000000000e+00, -8.506508083520399e-01, - -5.257311121191337e-01, 0.000000000000000e+00, -8.506508083520399e-01, - 0.000000000000000e+00, 8.506508083520399e-01, 5.257311121191337e-01, - 0.000000000000000e+00, -8.506508083520399e-01, 5.257311121191337e-01, - 0.000000000000000e+00, 8.506508083520399e-01, -5.257311121191337e-01, - 0.000000000000000e+00, -8.506508083520399e-01, -5.257311121191337e-01, - 0.000000000000000e+00, 5.257311121191337e-01, 8.506508083520399e-01, - 0.000000000000000e+00, -5.257311121191337e-01, 8.506508083520399e-01, - 0.000000000000000e+00, 5.257311121191337e-01, -8.506508083520399e-01, - 0.000000000000000e+00, -5.257311121191337e-01, -8.506508083520399e-01, - 3.233484542692899e-01, 1.153112011009701e-01, 9.392279297499158e-01, - -3.233484542692899e-01, 1.153112011009701e-01, 9.392279297499158e-01, - 3.233484542692899e-01, -1.153112011009701e-01, 9.392279297499158e-01, - -3.233484542692899e-01, -1.153112011009701e-01, 9.392279297499158e-01, - 3.233484542692899e-01, 1.153112011009701e-01, -9.392279297499158e-01, - -3.233484542692899e-01, 1.153112011009701e-01, -9.392279297499158e-01, - 3.233484542692899e-01, -1.153112011009701e-01, -9.392279297499158e-01, - -3.233484542692899e-01, -1.153112011009701e-01, -9.392279297499158e-01, - 3.233484542692899e-01, 9.392279297499158e-01, 1.153112011009701e-01, - -3.233484542692899e-01, 9.392279297499158e-01, 1.153112011009701e-01, - 3.233484542692899e-01, -9.392279297499158e-01, 1.153112011009701e-01, - -3.233484542692899e-01, -9.392279297499158e-01, 1.153112011009701e-01, - 3.233484542692899e-01, 9.392279297499158e-01, -1.153112011009701e-01, - -3.233484542692899e-01, 9.392279297499158e-01, -1.153112011009701e-01, - 3.233484542692899e-01, -9.392279297499158e-01, -1.153112011009701e-01, - -3.233484542692899e-01, -9.392279297499158e-01, -1.153112011009701e-01, - 1.153112011009701e-01, 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3.233484542692899e-01, - 9.392279297499158e-01, 1.153112011009701e-01, -3.233484542692899e-01, - -9.392279297499158e-01, 1.153112011009701e-01, -3.233484542692899e-01, - 9.392279297499158e-01, -1.153112011009701e-01, -3.233484542692899e-01, - -9.392279297499158e-01, -1.153112011009701e-01, -3.233484542692899e-01, - 2.314790158712601e-01, 5.244939240922365e-01, 8.193433888191203e-01, - -2.314790158712601e-01, 5.244939240922365e-01, 8.193433888191203e-01, - 2.314790158712601e-01, -5.244939240922365e-01, 8.193433888191203e-01, - -2.314790158712601e-01, -5.244939240922365e-01, 8.193433888191203e-01, - 2.314790158712601e-01, 5.244939240922365e-01, -8.193433888191203e-01, - -2.314790158712601e-01, 5.244939240922365e-01, -8.193433888191203e-01, - 2.314790158712601e-01, -5.244939240922365e-01, -8.193433888191203e-01, - -2.314790158712601e-01, -5.244939240922365e-01, -8.193433888191203e-01, - 2.314790158712601e-01, 8.193433888191203e-01, 5.244939240922365e-01, - -2.314790158712601e-01, 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-5.244939240922365e-01, -2.314790158712601e-01, -8.193433888191203e-01, - 5.244939240922365e-01, 8.193433888191203e-01, 2.314790158712601e-01, - -5.244939240922365e-01, 8.193433888191203e-01, 2.314790158712601e-01, - 5.244939240922365e-01, -8.193433888191203e-01, 2.314790158712601e-01, - -5.244939240922365e-01, -8.193433888191203e-01, 2.314790158712601e-01, - 5.244939240922365e-01, 8.193433888191203e-01, -2.314790158712601e-01, - -5.244939240922365e-01, 8.193433888191203e-01, -2.314790158712601e-01, - 5.244939240922365e-01, -8.193433888191203e-01, -2.314790158712601e-01, - -5.244939240922365e-01, -8.193433888191203e-01, -2.314790158712601e-01, - 8.193433888191203e-01, 2.314790158712601e-01, 5.244939240922365e-01, - -8.193433888191203e-01, 2.314790158712601e-01, 5.244939240922365e-01, - 8.193433888191203e-01, -2.314790158712601e-01, 5.244939240922365e-01, - -8.193433888191203e-01, -2.314790158712601e-01, 5.244939240922365e-01, - 8.193433888191203e-01, 2.314790158712601e-01, -5.244939240922365e-01, - -8.193433888191203e-01, 2.314790158712601e-01, -5.244939240922365e-01, - 8.193433888191203e-01, -2.314790158712601e-01, -5.244939240922365e-01, - -8.193433888191203e-01, -2.314790158712601e-01, -5.244939240922365e-01, - 8.193433888191203e-01, 5.244939240922365e-01, 2.314790158712601e-01, - -8.193433888191203e-01, 5.244939240922365e-01, 2.314790158712601e-01, - 8.193433888191203e-01, -5.244939240922365e-01, 2.314790158712601e-01, - -8.193433888191203e-01, -5.244939240922365e-01, 2.314790158712601e-01, - 8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, - -8.193433888191203e-01, 5.244939240922365e-01, -2.314790158712601e-01, - 8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01, - -8.193433888191203e-01, -5.244939240922365e-01, -2.314790158712601e-01 - }; - - - static constexpr std::array weights = { - -1.313769127326952e-03, - -1.313769127326952e-03, - -1.313769127326952e-03, - -1.313769127326952e-03, - 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4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.080914225780505e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03, - 4.071467593830964e-03 - }; + static constexpr std::array weights = { + -1.313769127326952e-03, -1.313769127326952e-03, -1.313769127326952e-03, + -1.313769127326952e-03, -1.313769127326952e-03, -1.313769127326952e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + -2.522728704859336e-03, -2.522728704859336e-03, -2.522728704859336e-03, + 4.186853881700583e-03, 4.186853881700583e-03, 4.186853881700583e-03, + 4.186853881700583e-03, 4.186853881700583e-03, 4.186853881700583e-03, + 4.186853881700583e-03, 4.186853881700583e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 5.315167977810885e-03, + 5.315167977810885e-03, 5.315167977810885e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.047142377086219e-03, + 4.047142377086219e-03, 4.047142377086219e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 4.112482394406990e-03, + 4.112482394406990e-03, 4.112482394406990e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 3.595584899758782e-03, + 3.595584899758782e-03, 3.595584899758782e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.256131351428158e-03, + 4.256131351428158e-03, 4.256131351428158e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.229582700647240e-03, + 4.229582700647240e-03, 4.229582700647240e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.080914225780505e-03, + 4.080914225780505e-03, 4.080914225780505e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03, 4.071467593830964e-03, + 4.071467593830964e-03, 4.071467593830964e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2702.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2702.hpp index fc7c758..ad3b231 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2702.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_2702.hpp @@ -5,5421 +5,3616 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 2702 - * + * */ template struct lebedev_laikov_2702 { + static constexpr std::array, 2702> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.065562538818703e-02, 2.065562538818703e-02, 9.995732540837844e-01, + -2.065562538818703e-02, 2.065562538818703e-02, 9.995732540837844e-01, + 2.065562538818703e-02, -2.065562538818703e-02, 9.995732540837844e-01, + -2.065562538818703e-02, -2.065562538818703e-02, 9.995732540837844e-01, + 2.065562538818703e-02, 2.065562538818703e-02, -9.995732540837844e-01, + -2.065562538818703e-02, 2.065562538818703e-02, -9.995732540837844e-01, + 2.065562538818703e-02, -2.065562538818703e-02, -9.995732540837844e-01, + -2.065562538818703e-02, -2.065562538818703e-02, -9.995732540837844e-01, + 2.065562538818703e-02, 9.995732540837844e-01, 2.065562538818703e-02, + -2.065562538818703e-02, 9.995732540837844e-01, 2.065562538818703e-02, + 2.065562538818703e-02, -9.995732540837844e-01, 2.065562538818703e-02, + -2.065562538818703e-02, -9.995732540837844e-01, 2.065562538818703e-02, + 2.065562538818703e-02, 9.995732540837844e-01, -2.065562538818703e-02, + -2.065562538818703e-02, 9.995732540837844e-01, -2.065562538818703e-02, + 2.065562538818703e-02, -9.995732540837844e-01, -2.065562538818703e-02, + -2.065562538818703e-02, -9.995732540837844e-01, -2.065562538818703e-02, + 9.995732540837844e-01, 2.065562538818703e-02, 2.065562538818703e-02, + -9.995732540837844e-01, 2.065562538818703e-02, 2.065562538818703e-02, + 9.995732540837844e-01, -2.065562538818703e-02, 2.065562538818703e-02, + -9.995732540837844e-01, -2.065562538818703e-02, 2.065562538818703e-02, + 9.995732540837844e-01, 2.065562538818703e-02, -2.065562538818703e-02, + -9.995732540837844e-01, 2.065562538818703e-02, -2.065562538818703e-02, + 9.995732540837844e-01, -2.065562538818703e-02, -2.065562538818703e-02, + -9.995732540837844e-01, -2.065562538818703e-02, -2.065562538818703e-02, + 5.250918173022379e-02, 5.250918173022379e-02, 9.972389742022946e-01, + -5.250918173022379e-02, 5.250918173022379e-02, 9.972389742022946e-01, + 5.250918173022379e-02, -5.250918173022379e-02, 9.972389742022946e-01, + -5.250918173022379e-02, -5.250918173022379e-02, 9.972389742022946e-01, + 5.250918173022379e-02, 5.250918173022379e-02, -9.972389742022946e-01, + -5.250918173022379e-02, 5.250918173022379e-02, -9.972389742022946e-01, + 5.250918173022379e-02, -5.250918173022379e-02, -9.972389742022946e-01, + -5.250918173022379e-02, -5.250918173022379e-02, -9.972389742022946e-01, + 5.250918173022379e-02, 9.972389742022946e-01, 5.250918173022379e-02, + -5.250918173022379e-02, 9.972389742022946e-01, 5.250918173022379e-02, + 5.250918173022379e-02, -9.972389742022946e-01, 5.250918173022379e-02, + -5.250918173022379e-02, -9.972389742022946e-01, 5.250918173022379e-02, + 5.250918173022379e-02, 9.972389742022946e-01, -5.250918173022379e-02, + -5.250918173022379e-02, 9.972389742022946e-01, -5.250918173022379e-02, + 5.250918173022379e-02, -9.972389742022946e-01, -5.250918173022379e-02, + -5.250918173022379e-02, -9.972389742022946e-01, -5.250918173022379e-02, + 9.972389742022946e-01, 5.250918173022379e-02, 5.250918173022379e-02, + -9.972389742022946e-01, 5.250918173022379e-02, 5.250918173022379e-02, + 9.972389742022946e-01, -5.250918173022379e-02, 5.250918173022379e-02, + -9.972389742022946e-01, -5.250918173022379e-02, 5.250918173022379e-02, + 9.972389742022946e-01, 5.250918173022379e-02, -5.250918173022379e-02, + -9.972389742022946e-01, 5.250918173022379e-02, -5.250918173022379e-02, + 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8.551925814238349e-02, -7.457453610471960e-01, -6.607195418355383e-01, + -8.551925814238349e-02, -7.457453610471960e-01, -6.607195418355383e-01, + 7.457453610471960e-01, 6.607195418355383e-01, 8.551925814238349e-02, + -7.457453610471960e-01, 6.607195418355383e-01, 8.551925814238349e-02, + 7.457453610471960e-01, -6.607195418355383e-01, 8.551925814238349e-02, + -7.457453610471960e-01, -6.607195418355383e-01, 8.551925814238349e-02, + 7.457453610471960e-01, 6.607195418355383e-01, -8.551925814238349e-02, + -7.457453610471960e-01, 6.607195418355383e-01, -8.551925814238349e-02, + 7.457453610471960e-01, -6.607195418355383e-01, -8.551925814238349e-02, + -7.457453610471960e-01, -6.607195418355383e-01, -8.551925814238349e-02, + 7.457453610471960e-01, 8.551925814238349e-02, 6.607195418355383e-01, + -7.457453610471960e-01, 8.551925814238349e-02, 6.607195418355383e-01, + 7.457453610471960e-01, -8.551925814238349e-02, 6.607195418355383e-01, + -7.457453610471960e-01, -8.551925814238349e-02, 6.607195418355383e-01, + 7.457453610471960e-01, 8.551925814238349e-02, -6.607195418355383e-01, + -7.457453610471960e-01, 8.551925814238349e-02, -6.607195418355383e-01, + 7.457453610471960e-01, -8.551925814238349e-02, -6.607195418355383e-01, + -7.457453610471960e-01, -8.551925814238349e-02, -6.607195418355383e-01}; - static constexpr std::array,2702> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.065562538818703e-02, 2.065562538818703e-02, 9.995732540837844e-01, - -2.065562538818703e-02, 2.065562538818703e-02, 9.995732540837844e-01, - 2.065562538818703e-02, -2.065562538818703e-02, 9.995732540837844e-01, - -2.065562538818703e-02, -2.065562538818703e-02, 9.995732540837844e-01, - 2.065562538818703e-02, 2.065562538818703e-02, -9.995732540837844e-01, - -2.065562538818703e-02, 2.065562538818703e-02, -9.995732540837844e-01, - 2.065562538818703e-02, -2.065562538818703e-02, -9.995732540837844e-01, - -2.065562538818703e-02, -2.065562538818703e-02, -9.995732540837844e-01, - 2.065562538818703e-02, 9.995732540837844e-01, 2.065562538818703e-02, - -2.065562538818703e-02, 9.995732540837844e-01, 2.065562538818703e-02, - 2.065562538818703e-02, -9.995732540837844e-01, 2.065562538818703e-02, - -2.065562538818703e-02, -9.995732540837844e-01, 2.065562538818703e-02, - 2.065562538818703e-02, 9.995732540837844e-01, -2.065562538818703e-02, - -2.065562538818703e-02, 9.995732540837844e-01, -2.065562538818703e-02, - 2.065562538818703e-02, -9.995732540837844e-01, -2.065562538818703e-02, - -2.065562538818703e-02, -9.995732540837844e-01, -2.065562538818703e-02, - 9.995732540837844e-01, 2.065562538818703e-02, 2.065562538818703e-02, - -9.995732540837844e-01, 2.065562538818703e-02, 2.065562538818703e-02, - 9.995732540837844e-01, -2.065562538818703e-02, 2.065562538818703e-02, - -9.995732540837844e-01, -2.065562538818703e-02, 2.065562538818703e-02, - 9.995732540837844e-01, 2.065562538818703e-02, -2.065562538818703e-02, - -9.995732540837844e-01, 2.065562538818703e-02, -2.065562538818703e-02, - 9.995732540837844e-01, -2.065562538818703e-02, -2.065562538818703e-02, - -9.995732540837844e-01, -2.065562538818703e-02, -2.065562538818703e-02, - 5.250918173022379e-02, 5.250918173022379e-02, 9.972389742022946e-01, - -5.250918173022379e-02, 5.250918173022379e-02, 9.972389742022946e-01, - 5.250918173022379e-02, -5.250918173022379e-02, 9.972389742022946e-01, - -5.250918173022379e-02, -5.250918173022379e-02, 9.972389742022946e-01, - 5.250918173022379e-02, 5.250918173022379e-02, -9.972389742022946e-01, - -5.250918173022379e-02, 5.250918173022379e-02, -9.972389742022946e-01, - 5.250918173022379e-02, -5.250918173022379e-02, -9.972389742022946e-01, - -5.250918173022379e-02, -5.250918173022379e-02, -9.972389742022946e-01, - 5.250918173022379e-02, 9.972389742022946e-01, 5.250918173022379e-02, - -5.250918173022379e-02, 9.972389742022946e-01, 5.250918173022379e-02, - 5.250918173022379e-02, -9.972389742022946e-01, 5.250918173022379e-02, - -5.250918173022379e-02, -9.972389742022946e-01, 5.250918173022379e-02, - 5.250918173022379e-02, 9.972389742022946e-01, -5.250918173022379e-02, - -5.250918173022379e-02, 9.972389742022946e-01, -5.250918173022379e-02, - 5.250918173022379e-02, -9.972389742022946e-01, -5.250918173022379e-02, - -5.250918173022379e-02, -9.972389742022946e-01, -5.250918173022379e-02, - 9.972389742022946e-01, 5.250918173022379e-02, 5.250918173022379e-02, - -9.972389742022946e-01, 5.250918173022379e-02, 5.250918173022379e-02, - 9.972389742022946e-01, -5.250918173022379e-02, 5.250918173022379e-02, - -9.972389742022946e-01, -5.250918173022379e-02, 5.250918173022379e-02, - 9.972389742022946e-01, 5.250918173022379e-02, -5.250918173022379e-02, - -9.972389742022946e-01, 5.250918173022379e-02, -5.250918173022379e-02, - 9.972389742022946e-01, -5.250918173022379e-02, -5.250918173022379e-02, - -9.972389742022946e-01, -5.250918173022379e-02, -5.250918173022379e-02, - 8.993480082038376e-02, 8.993480082038376e-02, 9.918787542854196e-01, - -8.993480082038376e-02, 8.993480082038376e-02, 9.918787542854196e-01, - 8.993480082038376e-02, -8.993480082038376e-02, 9.918787542854196e-01, - -8.993480082038376e-02, -8.993480082038376e-02, 9.918787542854196e-01, - 8.993480082038376e-02, 8.993480082038376e-02, -9.918787542854196e-01, - -8.993480082038376e-02, 8.993480082038376e-02, -9.918787542854196e-01, - 8.993480082038376e-02, -8.993480082038376e-02, -9.918787542854196e-01, - -8.993480082038376e-02, -8.993480082038376e-02, -9.918787542854196e-01, - 8.993480082038376e-02, 9.918787542854196e-01, 8.993480082038376e-02, - -8.993480082038376e-02, 9.918787542854196e-01, 8.993480082038376e-02, - 8.993480082038376e-02, -9.918787542854196e-01, 8.993480082038376e-02, - -8.993480082038376e-02, -9.918787542854196e-01, 8.993480082038376e-02, - 8.993480082038376e-02, 9.918787542854196e-01, -8.993480082038376e-02, - -8.993480082038376e-02, 9.918787542854196e-01, -8.993480082038376e-02, - 8.993480082038376e-02, -9.918787542854196e-01, -8.993480082038376e-02, - -8.993480082038376e-02, -9.918787542854196e-01, -8.993480082038376e-02, - 9.918787542854196e-01, 8.993480082038376e-02, 8.993480082038376e-02, - -9.918787542854196e-01, 8.993480082038376e-02, 8.993480082038376e-02, - 9.918787542854196e-01, -8.993480082038376e-02, 8.993480082038376e-02, - -9.918787542854196e-01, -8.993480082038376e-02, 8.993480082038376e-02, - 9.918787542854196e-01, 8.993480082038376e-02, -8.993480082038376e-02, - -9.918787542854196e-01, 8.993480082038376e-02, -8.993480082038376e-02, - 9.918787542854196e-01, -8.993480082038376e-02, -8.993480082038376e-02, - -9.918787542854196e-01, -8.993480082038376e-02, -8.993480082038376e-02, - 1.306023924436019e-01, 1.306023924436019e-01, 9.827950092343850e-01, - -1.306023924436019e-01, 1.306023924436019e-01, 9.827950092343850e-01, - 1.306023924436019e-01, -1.306023924436019e-01, 9.827950092343850e-01, - -1.306023924436019e-01, -1.306023924436019e-01, 9.827950092343850e-01, - 1.306023924436019e-01, 1.306023924436019e-01, -9.827950092343850e-01, - -1.306023924436019e-01, 1.306023924436019e-01, -9.827950092343850e-01, - 1.306023924436019e-01, -1.306023924436019e-01, -9.827950092343850e-01, - -1.306023924436019e-01, -1.306023924436019e-01, -9.827950092343850e-01, - 1.306023924436019e-01, 9.827950092343850e-01, 1.306023924436019e-01, - -1.306023924436019e-01, 9.827950092343850e-01, 1.306023924436019e-01, - 1.306023924436019e-01, -9.827950092343850e-01, 1.306023924436019e-01, - -1.306023924436019e-01, -9.827950092343850e-01, 1.306023924436019e-01, - 1.306023924436019e-01, 9.827950092343850e-01, -1.306023924436019e-01, - -1.306023924436019e-01, 9.827950092343850e-01, -1.306023924436019e-01, - 1.306023924436019e-01, -9.827950092343850e-01, -1.306023924436019e-01, - -1.306023924436019e-01, -9.827950092343850e-01, -1.306023924436019e-01, - 9.827950092343850e-01, 1.306023924436019e-01, 1.306023924436019e-01, - -9.827950092343850e-01, 1.306023924436019e-01, 1.306023924436019e-01, - 9.827950092343850e-01, -1.306023924436019e-01, 1.306023924436019e-01, - -9.827950092343850e-01, -1.306023924436019e-01, 1.306023924436019e-01, - 9.827950092343850e-01, 1.306023924436019e-01, -1.306023924436019e-01, - -9.827950092343850e-01, 1.306023924436019e-01, -1.306023924436019e-01, - 9.827950092343850e-01, -1.306023924436019e-01, -1.306023924436019e-01, - -9.827950092343850e-01, -1.306023924436019e-01, -1.306023924436019e-01, - 1.732060388531418e-01, 1.732060388531418e-01, 9.695356291594486e-01, - -1.732060388531418e-01, 1.732060388531418e-01, 9.695356291594486e-01, - 1.732060388531418e-01, -1.732060388531418e-01, 9.695356291594486e-01, - -1.732060388531418e-01, -1.732060388531418e-01, 9.695356291594486e-01, - 1.732060388531418e-01, 1.732060388531418e-01, -9.695356291594486e-01, - -1.732060388531418e-01, 1.732060388531418e-01, -9.695356291594486e-01, - 1.732060388531418e-01, -1.732060388531418e-01, -9.695356291594486e-01, - -1.732060388531418e-01, -1.732060388531418e-01, -9.695356291594486e-01, - 1.732060388531418e-01, 9.695356291594486e-01, 1.732060388531418e-01, - -1.732060388531418e-01, 9.695356291594486e-01, 1.732060388531418e-01, - 1.732060388531418e-01, -9.695356291594486e-01, 1.732060388531418e-01, - -1.732060388531418e-01, -9.695356291594486e-01, 1.732060388531418e-01, - 1.732060388531418e-01, 9.695356291594486e-01, -1.732060388531418e-01, - -1.732060388531418e-01, 9.695356291594486e-01, -1.732060388531418e-01, - 1.732060388531418e-01, -9.695356291594486e-01, -1.732060388531418e-01, - -1.732060388531418e-01, -9.695356291594486e-01, -1.732060388531418e-01, - 9.695356291594486e-01, 1.732060388531418e-01, 1.732060388531418e-01, - -9.695356291594486e-01, 1.732060388531418e-01, 1.732060388531418e-01, - 9.695356291594486e-01, -1.732060388531418e-01, 1.732060388531418e-01, - -9.695356291594486e-01, -1.732060388531418e-01, 1.732060388531418e-01, - 9.695356291594486e-01, 1.732060388531418e-01, -1.732060388531418e-01, - -9.695356291594486e-01, 1.732060388531418e-01, 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4.087191292799671e-04, + 4.087191292799671e-04, 4.087191292799671e-04}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_302.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_302.hpp index 85b5a8f..2d9f5d0 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_302.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_302.hpp @@ -5,621 +5,416 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 302 - * + * */ template struct lebedev_laikov_302 { + static constexpr std::array, 302> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 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5.448677372580774e-01, 8.000727494073951e-01, -2.510034751770465e-01, + -5.448677372580774e-01, 8.000727494073951e-01, -2.510034751770465e-01, + 5.448677372580774e-01, -8.000727494073951e-01, -2.510034751770465e-01, + -5.448677372580774e-01, -8.000727494073951e-01, -2.510034751770465e-01, + 1.233548532583327e-01, 4.127724083168531e-01, 9.024425295330004e-01, + -1.233548532583327e-01, 4.127724083168531e-01, 9.024425295330004e-01, + 1.233548532583327e-01, -4.127724083168531e-01, 9.024425295330004e-01, + -1.233548532583327e-01, -4.127724083168531e-01, 9.024425295330004e-01, + 1.233548532583327e-01, 4.127724083168531e-01, -9.024425295330004e-01, + -1.233548532583327e-01, 4.127724083168531e-01, -9.024425295330004e-01, + 1.233548532583327e-01, -4.127724083168531e-01, -9.024425295330004e-01, + -1.233548532583327e-01, -4.127724083168531e-01, -9.024425295330004e-01, + 1.233548532583327e-01, 9.024425295330004e-01, 4.127724083168531e-01, + -1.233548532583327e-01, 9.024425295330004e-01, 4.127724083168531e-01, + 1.233548532583327e-01, -9.024425295330004e-01, 4.127724083168531e-01, + -1.233548532583327e-01, -9.024425295330004e-01, 4.127724083168531e-01, + 1.233548532583327e-01, 9.024425295330004e-01, -4.127724083168531e-01, + -1.233548532583327e-01, 9.024425295330004e-01, -4.127724083168531e-01, + 1.233548532583327e-01, -9.024425295330004e-01, -4.127724083168531e-01, + -1.233548532583327e-01, -9.024425295330004e-01, -4.127724083168531e-01, + 4.127724083168531e-01, 1.233548532583327e-01, 9.024425295330004e-01, + -4.127724083168531e-01, 1.233548532583327e-01, 9.024425295330004e-01, + 4.127724083168531e-01, -1.233548532583327e-01, 9.024425295330004e-01, + -4.127724083168531e-01, -1.233548532583327e-01, 9.024425295330004e-01, + 4.127724083168531e-01, 1.233548532583327e-01, -9.024425295330004e-01, + -4.127724083168531e-01, 1.233548532583327e-01, -9.024425295330004e-01, + 4.127724083168531e-01, -1.233548532583327e-01, -9.024425295330004e-01, + -4.127724083168531e-01, -1.233548532583327e-01, -9.024425295330004e-01, + 4.127724083168531e-01, 9.024425295330004e-01, 1.233548532583327e-01, + -4.127724083168531e-01, 9.024425295330004e-01, 1.233548532583327e-01, + 4.127724083168531e-01, -9.024425295330004e-01, 1.233548532583327e-01, + -4.127724083168531e-01, -9.024425295330004e-01, 1.233548532583327e-01, + 4.127724083168531e-01, 9.024425295330004e-01, -1.233548532583327e-01, + -4.127724083168531e-01, 9.024425295330004e-01, -1.233548532583327e-01, + 4.127724083168531e-01, -9.024425295330004e-01, -1.233548532583327e-01, + -4.127724083168531e-01, -9.024425295330004e-01, -1.233548532583327e-01, + 9.024425295330004e-01, 1.233548532583327e-01, 4.127724083168531e-01, + -9.024425295330004e-01, 1.233548532583327e-01, 4.127724083168531e-01, + 9.024425295330004e-01, -1.233548532583327e-01, 4.127724083168531e-01, + -9.024425295330004e-01, -1.233548532583327e-01, 4.127724083168531e-01, + 9.024425295330004e-01, 1.233548532583327e-01, -4.127724083168531e-01, + -9.024425295330004e-01, 1.233548532583327e-01, -4.127724083168531e-01, + 9.024425295330004e-01, -1.233548532583327e-01, -4.127724083168531e-01, + -9.024425295330004e-01, -1.233548532583327e-01, -4.127724083168531e-01, + 9.024425295330004e-01, 4.127724083168531e-01, 1.233548532583327e-01, + -9.024425295330004e-01, 4.127724083168531e-01, 1.233548532583327e-01, + 9.024425295330004e-01, -4.127724083168531e-01, 1.233548532583327e-01, + -9.024425295330004e-01, -4.127724083168531e-01, 1.233548532583327e-01, + 9.024425295330004e-01, 4.127724083168531e-01, -1.233548532583327e-01, + -9.024425295330004e-01, 4.127724083168531e-01, -1.233548532583327e-01, + 9.024425295330004e-01, -4.127724083168531e-01, -1.233548532583327e-01, + -9.024425295330004e-01, -4.127724083168531e-01, -1.233548532583327e-01}; - static constexpr std::array,302> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.515640345570105e-01, 3.515640345570105e-01, 8.676436245440834e-01, - -3.515640345570105e-01, 3.515640345570105e-01, 8.676436245440834e-01, - 3.515640345570105e-01, -3.515640345570105e-01, 8.676436245440834e-01, - -3.515640345570105e-01, -3.515640345570105e-01, 8.676436245440834e-01, - 3.515640345570105e-01, 3.515640345570105e-01, -8.676436245440834e-01, - -3.515640345570105e-01, 3.515640345570105e-01, -8.676436245440834e-01, - 3.515640345570105e-01, -3.515640345570105e-01, -8.676436245440834e-01, - -3.515640345570105e-01, -3.515640345570105e-01, -8.676436245440834e-01, - 3.515640345570105e-01, 8.676436245440834e-01, 3.515640345570105e-01, - -3.515640345570105e-01, 8.676436245440834e-01, 3.515640345570105e-01, - 3.515640345570105e-01, -8.676436245440834e-01, 3.515640345570105e-01, - -3.515640345570105e-01, -8.676436245440834e-01, 3.515640345570105e-01, - 3.515640345570105e-01, 8.676436245440834e-01, -3.515640345570105e-01, - -3.515640345570105e-01, 8.676436245440834e-01, -3.515640345570105e-01, - 3.515640345570105e-01, -8.676436245440834e-01, -3.515640345570105e-01, - -3.515640345570105e-01, -8.676436245440834e-01, -3.515640345570105e-01, - 8.676436245440834e-01, 3.515640345570105e-01, 3.515640345570105e-01, - -8.676436245440834e-01, 3.515640345570105e-01, 3.515640345570105e-01, - 8.676436245440834e-01, -3.515640345570105e-01, 3.515640345570105e-01, - -8.676436245440834e-01, -3.515640345570105e-01, 3.515640345570105e-01, - 8.676436245440834e-01, 3.515640345570105e-01, -3.515640345570105e-01, - -8.676436245440834e-01, 3.515640345570105e-01, -3.515640345570105e-01, - 8.676436245440834e-01, -3.515640345570105e-01, -3.515640345570105e-01, - -8.676436245440834e-01, -3.515640345570105e-01, -3.515640345570105e-01, - 6.566329410219612e-01, 6.566329410219612e-01, 3.710341783848209e-01, - -6.566329410219612e-01, 6.566329410219612e-01, 3.710341783848209e-01, - 6.566329410219612e-01, -6.566329410219612e-01, 3.710341783848209e-01, - -6.566329410219612e-01, -6.566329410219612e-01, 3.710341783848209e-01, - 6.566329410219612e-01, 6.566329410219612e-01, -3.710341783848209e-01, - -6.566329410219612e-01, 6.566329410219612e-01, -3.710341783848209e-01, - 6.566329410219612e-01, -6.566329410219612e-01, -3.710341783848209e-01, - -6.566329410219612e-01, -6.566329410219612e-01, -3.710341783848209e-01, - 6.566329410219612e-01, 3.710341783848209e-01, 6.566329410219612e-01, - -6.566329410219612e-01, 3.710341783848209e-01, 6.566329410219612e-01, - 6.566329410219612e-01, -3.710341783848209e-01, 6.566329410219612e-01, - -6.566329410219612e-01, -3.710341783848209e-01, 6.566329410219612e-01, - 6.566329410219612e-01, 3.710341783848209e-01, -6.566329410219612e-01, - -6.566329410219612e-01, 3.710341783848209e-01, -6.566329410219612e-01, - 6.566329410219612e-01, -3.710341783848209e-01, -6.566329410219612e-01, - -6.566329410219612e-01, -3.710341783848209e-01, -6.566329410219612e-01, - 3.710341783848209e-01, 6.566329410219612e-01, 6.566329410219612e-01, - -3.710341783848209e-01, 6.566329410219612e-01, 6.566329410219612e-01, - 3.710341783848209e-01, -6.566329410219612e-01, 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b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3074.hpp index b57b35e..836dad0 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3074.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3074.hpp @@ -5,6165 +5,4112 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 3074 - * + * */ template struct lebedev_laikov_3074 { + static constexpr std::array, 3074> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 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-4.015955957805969e-02, 6.656263089489129e-01, + -7.452038825781455e-01, -4.015955957805969e-02, 6.656263089489129e-01, + 7.452038825781455e-01, 4.015955957805969e-02, -6.656263089489129e-01, + -7.452038825781455e-01, 4.015955957805969e-02, -6.656263089489129e-01, + 7.452038825781455e-01, -4.015955957805969e-02, -6.656263089489129e-01, + -7.452038825781455e-01, -4.015955957805969e-02, -6.656263089489129e-01}; - static constexpr std::array,3074> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 1.886108518723392e-02, 1.886108518723392e-02, 9.996441961673762e-01, - -1.886108518723392e-02, 1.886108518723392e-02, 9.996441961673762e-01, - 1.886108518723392e-02, -1.886108518723392e-02, 9.996441961673762e-01, - -1.886108518723392e-02, -1.886108518723392e-02, 9.996441961673762e-01, - 1.886108518723392e-02, 1.886108518723392e-02, -9.996441961673762e-01, - -1.886108518723392e-02, 1.886108518723392e-02, -9.996441961673762e-01, - 1.886108518723392e-02, -1.886108518723392e-02, -9.996441961673762e-01, - -1.886108518723392e-02, -1.886108518723392e-02, -9.996441961673762e-01, - 1.886108518723392e-02, 9.996441961673762e-01, 1.886108518723392e-02, - -1.886108518723392e-02, 9.996441961673762e-01, 1.886108518723392e-02, - 1.886108518723392e-02, -9.996441961673762e-01, 1.886108518723392e-02, - -1.886108518723392e-02, -9.996441961673762e-01, 1.886108518723392e-02, - 1.886108518723392e-02, 9.996441961673762e-01, -1.886108518723392e-02, - -1.886108518723392e-02, 9.996441961673762e-01, -1.886108518723392e-02, - 1.886108518723392e-02, -9.996441961673762e-01, -1.886108518723392e-02, - -1.886108518723392e-02, -9.996441961673762e-01, -1.886108518723392e-02, - 9.996441961673762e-01, 1.886108518723392e-02, 1.886108518723392e-02, - -9.996441961673762e-01, 1.886108518723392e-02, 1.886108518723392e-02, - 9.996441961673762e-01, -1.886108518723392e-02, 1.886108518723392e-02, - -9.996441961673762e-01, -1.886108518723392e-02, 1.886108518723392e-02, - 9.996441961673762e-01, 1.886108518723392e-02, -1.886108518723392e-02, - -9.996441961673762e-01, 1.886108518723392e-02, -1.886108518723392e-02, - 9.996441961673762e-01, -1.886108518723392e-02, -1.886108518723392e-02, - -9.996441961673762e-01, -1.886108518723392e-02, -1.886108518723392e-02, - 4.800217244625303e-02, 4.800217244625303e-02, 9.976931306172657e-01, - -4.800217244625303e-02, 4.800217244625303e-02, 9.976931306172657e-01, - 4.800217244625303e-02, -4.800217244625303e-02, 9.976931306172657e-01, - -4.800217244625303e-02, -4.800217244625303e-02, 9.976931306172657e-01, - 4.800217244625303e-02, 4.800217244625303e-02, -9.976931306172657e-01, - -4.800217244625303e-02, 4.800217244625303e-02, -9.976931306172657e-01, - 4.800217244625303e-02, -4.800217244625303e-02, -9.976931306172657e-01, - -4.800217244625303e-02, -4.800217244625303e-02, -9.976931306172657e-01, - 4.800217244625303e-02, 9.976931306172657e-01, 4.800217244625303e-02, - -4.800217244625303e-02, 9.976931306172657e-01, 4.800217244625303e-02, - 4.800217244625303e-02, -9.976931306172657e-01, 4.800217244625303e-02, - -4.800217244625303e-02, -9.976931306172657e-01, 4.800217244625303e-02, - 4.800217244625303e-02, 9.976931306172657e-01, -4.800217244625303e-02, - -4.800217244625303e-02, 9.976931306172657e-01, -4.800217244625303e-02, - 4.800217244625303e-02, -9.976931306172657e-01, -4.800217244625303e-02, - -4.800217244625303e-02, -9.976931306172657e-01, -4.800217244625303e-02, - 9.976931306172657e-01, 4.800217244625303e-02, 4.800217244625303e-02, - -9.976931306172657e-01, 4.800217244625303e-02, 4.800217244625303e-02, - 9.976931306172657e-01, -4.800217244625303e-02, 4.800217244625303e-02, - -9.976931306172657e-01, -4.800217244625303e-02, 4.800217244625303e-02, - 9.976931306172657e-01, 4.800217244625303e-02, -4.800217244625303e-02, - -9.976931306172657e-01, 4.800217244625303e-02, -4.800217244625303e-02, - 9.976931306172657e-01, -4.800217244625303e-02, -4.800217244625303e-02, - -9.976931306172657e-01, -4.800217244625303e-02, -4.800217244625303e-02, - 8.244922058397242e-02, 8.244922058397242e-02, 9.931788620637226e-01, - -8.244922058397242e-02, 8.244922058397242e-02, 9.931788620637226e-01, - 8.244922058397242e-02, -8.244922058397242e-02, 9.931788620637226e-01, - -8.244922058397242e-02, -8.244922058397242e-02, 9.931788620637226e-01, - 8.244922058397242e-02, 8.244922058397242e-02, -9.931788620637226e-01, - -8.244922058397242e-02, 8.244922058397242e-02, -9.931788620637226e-01, - 8.244922058397242e-02, -8.244922058397242e-02, -9.931788620637226e-01, - -8.244922058397242e-02, -8.244922058397242e-02, -9.931788620637226e-01, - 8.244922058397242e-02, 9.931788620637226e-01, 8.244922058397242e-02, - -8.244922058397242e-02, 9.931788620637226e-01, 8.244922058397242e-02, - 8.244922058397242e-02, -9.931788620637226e-01, 8.244922058397242e-02, - -8.244922058397242e-02, -9.931788620637226e-01, 8.244922058397242e-02, - 8.244922058397242e-02, 9.931788620637226e-01, -8.244922058397242e-02, - -8.244922058397242e-02, 9.931788620637226e-01, -8.244922058397242e-02, - 8.244922058397242e-02, -9.931788620637226e-01, -8.244922058397242e-02, - -8.244922058397242e-02, -9.931788620637226e-01, -8.244922058397242e-02, - 9.931788620637226e-01, 8.244922058397242e-02, 8.244922058397242e-02, - -9.931788620637226e-01, 8.244922058397242e-02, 8.244922058397242e-02, - 9.931788620637226e-01, -8.244922058397242e-02, 8.244922058397242e-02, - -9.931788620637226e-01, -8.244922058397242e-02, 8.244922058397242e-02, - 9.931788620637226e-01, 8.244922058397242e-02, -8.244922058397242e-02, - -9.931788620637226e-01, 8.244922058397242e-02, -8.244922058397242e-02, - 9.931788620637226e-01, -8.244922058397242e-02, -8.244922058397242e-02, - -9.931788620637226e-01, -8.244922058397242e-02, -8.244922058397242e-02, - 1.200408362484023e-01, 1.200408362484023e-01, 9.854848528848977e-01, - -1.200408362484023e-01, 1.200408362484023e-01, 9.854848528848977e-01, - 1.200408362484023e-01, -1.200408362484023e-01, 9.854848528848977e-01, - -1.200408362484023e-01, -1.200408362484023e-01, 9.854848528848977e-01, - 1.200408362484023e-01, 1.200408362484023e-01, -9.854848528848977e-01, - -1.200408362484023e-01, 1.200408362484023e-01, -9.854848528848977e-01, - 1.200408362484023e-01, -1.200408362484023e-01, -9.854848528848977e-01, - -1.200408362484023e-01, -1.200408362484023e-01, -9.854848528848977e-01, - 1.200408362484023e-01, 9.854848528848977e-01, 1.200408362484023e-01, - -1.200408362484023e-01, 9.854848528848977e-01, 1.200408362484023e-01, - 1.200408362484023e-01, -9.854848528848977e-01, 1.200408362484023e-01, - -1.200408362484023e-01, -9.854848528848977e-01, 1.200408362484023e-01, - 1.200408362484023e-01, 9.854848528848977e-01, -1.200408362484023e-01, - -1.200408362484023e-01, 9.854848528848977e-01, -1.200408362484023e-01, - 1.200408362484023e-01, -9.854848528848977e-01, -1.200408362484023e-01, - -1.200408362484023e-01, -9.854848528848977e-01, -1.200408362484023e-01, - 9.854848528848977e-01, 1.200408362484023e-01, 1.200408362484023e-01, - -9.854848528848977e-01, 1.200408362484023e-01, 1.200408362484023e-01, - 9.854848528848977e-01, -1.200408362484023e-01, 1.200408362484023e-01, - -9.854848528848977e-01, -1.200408362484023e-01, 1.200408362484023e-01, - 9.854848528848977e-01, 1.200408362484023e-01, -1.200408362484023e-01, - -9.854848528848977e-01, 1.200408362484023e-01, -1.200408362484023e-01, - 9.854848528848977e-01, -1.200408362484023e-01, -1.200408362484023e-01, - -9.854848528848977e-01, -1.200408362484023e-01, -1.200408362484023e-01, - 1.595773530809965e-01, 1.595773530809965e-01, 9.742023079254770e-01, - -1.595773530809965e-01, 1.595773530809965e-01, 9.742023079254770e-01, - 1.595773530809965e-01, -1.595773530809965e-01, 9.742023079254770e-01, - -1.595773530809965e-01, -1.595773530809965e-01, 9.742023079254770e-01, - 1.595773530809965e-01, 1.595773530809965e-01, -9.742023079254770e-01, - -1.595773530809965e-01, 1.595773530809965e-01, -9.742023079254770e-01, - 1.595773530809965e-01, -1.595773530809965e-01, -9.742023079254770e-01, - -1.595773530809965e-01, -1.595773530809965e-01, -9.742023079254770e-01, - 1.595773530809965e-01, 9.742023079254770e-01, 1.595773530809965e-01, - -1.595773530809965e-01, 9.742023079254770e-01, 1.595773530809965e-01, - 1.595773530809965e-01, -9.742023079254770e-01, 1.595773530809965e-01, - -1.595773530809965e-01, -9.742023079254770e-01, 1.595773530809965e-01, - 1.595773530809965e-01, 9.742023079254770e-01, -1.595773530809965e-01, - -1.595773530809965e-01, 9.742023079254770e-01, -1.595773530809965e-01, - 1.595773530809965e-01, -9.742023079254770e-01, -1.595773530809965e-01, - -1.595773530809965e-01, -9.742023079254770e-01, -1.595773530809965e-01, - 9.742023079254770e-01, 1.595773530809965e-01, 1.595773530809965e-01, - -9.742023079254770e-01, 1.595773530809965e-01, 1.595773530809965e-01, - 9.742023079254770e-01, -1.595773530809965e-01, 1.595773530809965e-01, - -9.742023079254770e-01, -1.595773530809965e-01, 1.595773530809965e-01, - 9.742023079254770e-01, 1.595773530809965e-01, -1.595773530809965e-01, - -9.742023079254770e-01, 1.595773530809965e-01, -1.595773530809965e-01, - 9.742023079254770e-01, -1.595773530809965e-01, -1.595773530809965e-01, - -9.742023079254770e-01, -1.595773530809965e-01, -1.595773530809965e-01, - 2.002635973434064e-01, 2.002635973434064e-01, 9.590562982214109e-01, - -2.002635973434064e-01, 2.002635973434064e-01, 9.590562982214109e-01, - 2.002635973434064e-01, -2.002635973434064e-01, 9.590562982214109e-01, - -2.002635973434064e-01, -2.002635973434064e-01, 9.590562982214109e-01, - 2.002635973434064e-01, 2.002635973434064e-01, -9.590562982214109e-01, - -2.002635973434064e-01, 2.002635973434064e-01, -9.590562982214109e-01, - 2.002635973434064e-01, -2.002635973434064e-01, -9.590562982214109e-01, - -2.002635973434064e-01, -2.002635973434064e-01, -9.590562982214109e-01, - 2.002635973434064e-01, 9.590562982214109e-01, 2.002635973434064e-01, - -2.002635973434064e-01, 9.590562982214109e-01, 2.002635973434064e-01, - 2.002635973434064e-01, -9.590562982214109e-01, 2.002635973434064e-01, - -2.002635973434064e-01, -9.590562982214109e-01, 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LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 3470 - * + * */ template struct lebedev_laikov_3470 { + static constexpr std::array, 3470> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 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Lebedev-Laikov Quadrature specification for Order = 350 - * + * */ template struct lebedev_laikov_350 { + static constexpr std::array, 350> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 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2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 2.958357626535696e-03, + 2.958357626535696e-03, 2.958357626535696e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 3.036020026407088e-03, + 3.036020026407088e-03, 3.036020026407088e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03, 2.832187403926303e-03, + 2.832187403926303e-03, 2.832187403926303e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_38.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_38.hpp index a9e67e4..7189f89 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_38.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_38.hpp @@ -5,93 +5,64 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 38 - * + * */ template struct lebedev_laikov_38 { + static constexpr std::array, 38> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, + -4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, + 4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, + -4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, + 8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, + -8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, + 8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, + -8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, + 4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, + -4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, + 4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, + -4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, + 8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, + -8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, + 8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, + -8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, + 0.000000000000000e+00, 4.597008433809831e-01, 8.880738339771153e-01, + 0.000000000000000e+00, -4.597008433809831e-01, 8.880738339771153e-01, + 0.000000000000000e+00, 4.597008433809831e-01, -8.880738339771153e-01, + 0.000000000000000e+00, -4.597008433809831e-01, -8.880738339771153e-01, + 0.000000000000000e+00, 8.880738339771153e-01, 4.597008433809831e-01, + 0.000000000000000e+00, -8.880738339771153e-01, 4.597008433809831e-01, + 0.000000000000000e+00, 8.880738339771153e-01, -4.597008433809831e-01, + 0.000000000000000e+00, -8.880738339771153e-01, -4.597008433809831e-01}; - static constexpr std::array,38> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, - -4.597008433809831e-01, 8.880738339771153e-01, 0.000000000000000e+00, - 4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, - -4.597008433809831e-01, -8.880738339771153e-01, 0.000000000000000e+00, - 8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, - -8.880738339771153e-01, 4.597008433809831e-01, 0.000000000000000e+00, - 8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, - -8.880738339771153e-01, -4.597008433809831e-01, 0.000000000000000e+00, - 4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, - -4.597008433809831e-01, 0.000000000000000e+00, 8.880738339771153e-01, - 4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, - -4.597008433809831e-01, 0.000000000000000e+00, -8.880738339771153e-01, - 8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, - -8.880738339771153e-01, 0.000000000000000e+00, 4.597008433809831e-01, - 8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, - -8.880738339771153e-01, 0.000000000000000e+00, -4.597008433809831e-01, - 0.000000000000000e+00, 4.597008433809831e-01, 8.880738339771153e-01, - 0.000000000000000e+00, -4.597008433809831e-01, 8.880738339771153e-01, - 0.000000000000000e+00, 4.597008433809831e-01, -8.880738339771153e-01, - 0.000000000000000e+00, -4.597008433809831e-01, -8.880738339771153e-01, - 0.000000000000000e+00, 8.880738339771153e-01, 4.597008433809831e-01, - 0.000000000000000e+00, -8.880738339771153e-01, 4.597008433809831e-01, - 0.000000000000000e+00, 8.880738339771153e-01, -4.597008433809831e-01, - 0.000000000000000e+00, -8.880738339771153e-01, -4.597008433809831e-01 - }; - - - static constexpr std::array weights = { - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 9.523809523809525e-03, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 3.214285714285714e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02, - 2.857142857142857e-02 - }; + static constexpr std::array weights = { + 9.523809523809525e-03, 9.523809523809525e-03, 9.523809523809525e-03, + 9.523809523809525e-03, 9.523809523809525e-03, 9.523809523809525e-03, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 3.214285714285714e-02, + 3.214285714285714e-02, 3.214285714285714e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02, 2.857142857142857e-02, + 2.857142857142857e-02, 2.857142857142857e-02}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3890.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3890.hpp index 6764c08..c8a01f7 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3890.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_3890.hpp @@ -5,7797 +5,5200 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 3890 - * + * */ template struct lebedev_laikov_3890 { + static constexpr std::array, 3890> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 1.587876419858352e-02, 1.587876419858352e-02, 9.997478330534413e-01, + -1.587876419858352e-02, 1.587876419858352e-02, 9.997478330534413e-01, + 1.587876419858352e-02, -1.587876419858352e-02, 9.997478330534413e-01, + -1.587876419858352e-02, -1.587876419858352e-02, 9.997478330534413e-01, + 1.587876419858352e-02, 1.587876419858352e-02, -9.997478330534413e-01, + -1.587876419858352e-02, 1.587876419858352e-02, -9.997478330534413e-01, + 1.587876419858352e-02, -1.587876419858352e-02, -9.997478330534413e-01, + -1.587876419858352e-02, -1.587876419858352e-02, -9.997478330534413e-01, + 1.587876419858352e-02, 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-3.569455268820809e-02, -6.703715271049921e-01, 7.411665902854159e-01, + 3.569455268820809e-02, 6.703715271049921e-01, -7.411665902854159e-01, + -3.569455268820809e-02, 6.703715271049921e-01, -7.411665902854159e-01, + 3.569455268820809e-02, -6.703715271049921e-01, -7.411665902854159e-01, + -3.569455268820809e-02, -6.703715271049921e-01, -7.411665902854159e-01, + 3.569455268820809e-02, 7.411665902854159e-01, 6.703715271049921e-01, + -3.569455268820809e-02, 7.411665902854159e-01, 6.703715271049921e-01, + 3.569455268820809e-02, -7.411665902854159e-01, 6.703715271049921e-01, + -3.569455268820809e-02, -7.411665902854159e-01, 6.703715271049921e-01, + 3.569455268820809e-02, 7.411665902854159e-01, -6.703715271049921e-01, + -3.569455268820809e-02, 7.411665902854159e-01, -6.703715271049921e-01, + 3.569455268820809e-02, -7.411665902854159e-01, -6.703715271049921e-01, + -3.569455268820809e-02, -7.411665902854159e-01, -6.703715271049921e-01, + 7.411665902854159e-01, 6.703715271049921e-01, 3.569455268820809e-02, + -7.411665902854159e-01, 6.703715271049921e-01, 3.569455268820809e-02, + 7.411665902854159e-01, -6.703715271049921e-01, 3.569455268820809e-02, + -7.411665902854159e-01, -6.703715271049921e-01, 3.569455268820809e-02, + 7.411665902854159e-01, 6.703715271049921e-01, -3.569455268820809e-02, + -7.411665902854159e-01, 6.703715271049921e-01, -3.569455268820809e-02, + 7.411665902854159e-01, -6.703715271049921e-01, -3.569455268820809e-02, + -7.411665902854159e-01, -6.703715271049921e-01, -3.569455268820809e-02, + 7.411665902854159e-01, 3.569455268820809e-02, 6.703715271049921e-01, + -7.411665902854159e-01, 3.569455268820809e-02, 6.703715271049921e-01, + 7.411665902854159e-01, -3.569455268820809e-02, 6.703715271049921e-01, + -7.411665902854159e-01, -3.569455268820809e-02, 6.703715271049921e-01, + 7.411665902854159e-01, 3.569455268820809e-02, -6.703715271049921e-01, + -7.411665902854159e-01, 3.569455268820809e-02, -6.703715271049921e-01, + 7.411665902854159e-01, -3.569455268820809e-02, -6.703715271049921e-01, + -7.411665902854159e-01, -3.569455268820809e-02, -6.703715271049921e-01}; - static constexpr std::array,3890> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 1.587876419858352e-02, 1.587876419858352e-02, 9.997478330534413e-01, - -1.587876419858352e-02, 1.587876419858352e-02, 9.997478330534413e-01, - 1.587876419858352e-02, -1.587876419858352e-02, 9.997478330534413e-01, - -1.587876419858352e-02, -1.587876419858352e-02, 9.997478330534413e-01, - 1.587876419858352e-02, 1.587876419858352e-02, -9.997478330534413e-01, - -1.587876419858352e-02, 1.587876419858352e-02, -9.997478330534413e-01, - 1.587876419858352e-02, -1.587876419858352e-02, -9.997478330534413e-01, - -1.587876419858352e-02, -1.587876419858352e-02, -9.997478330534413e-01, - 1.587876419858352e-02, 9.997478330534413e-01, 1.587876419858352e-02, - -1.587876419858352e-02, 9.997478330534413e-01, 1.587876419858352e-02, - 1.587876419858352e-02, -9.997478330534413e-01, 1.587876419858352e-02, - -1.587876419858352e-02, -9.997478330534413e-01, 1.587876419858352e-02, - 1.587876419858352e-02, 9.997478330534413e-01, -1.587876419858352e-02, - -1.587876419858352e-02, 9.997478330534413e-01, -1.587876419858352e-02, - 1.587876419858352e-02, -9.997478330534413e-01, -1.587876419858352e-02, - -1.587876419858352e-02, -9.997478330534413e-01, -1.587876419858352e-02, - 9.997478330534413e-01, 1.587876419858352e-02, 1.587876419858352e-02, - -9.997478330534413e-01, 1.587876419858352e-02, 1.587876419858352e-02, - 9.997478330534413e-01, -1.587876419858352e-02, 1.587876419858352e-02, - -9.997478330534413e-01, -1.587876419858352e-02, 1.587876419858352e-02, - 9.997478330534413e-01, 1.587876419858352e-02, -1.587876419858352e-02, - -9.997478330534413e-01, 1.587876419858352e-02, -1.587876419858352e-02, - 9.997478330534413e-01, -1.587876419858352e-02, -1.587876419858352e-02, - -9.997478330534413e-01, -1.587876419858352e-02, -1.587876419858352e-02, - 4.069193593751206e-02, 4.069193593751206e-02, 9.983427931824393e-01, - -4.069193593751206e-02, 4.069193593751206e-02, 9.983427931824393e-01, - 4.069193593751206e-02, -4.069193593751206e-02, 9.983427931824393e-01, - -4.069193593751206e-02, -4.069193593751206e-02, 9.983427931824393e-01, - 4.069193593751206e-02, 4.069193593751206e-02, -9.983427931824393e-01, - -4.069193593751206e-02, 4.069193593751206e-02, -9.983427931824393e-01, - 4.069193593751206e-02, -4.069193593751206e-02, -9.983427931824393e-01, - -4.069193593751206e-02, -4.069193593751206e-02, -9.983427931824393e-01, - 4.069193593751206e-02, 9.983427931824393e-01, 4.069193593751206e-02, - -4.069193593751206e-02, 9.983427931824393e-01, 4.069193593751206e-02, - 4.069193593751206e-02, -9.983427931824393e-01, 4.069193593751206e-02, - -4.069193593751206e-02, -9.983427931824393e-01, 4.069193593751206e-02, - 4.069193593751206e-02, 9.983427931824393e-01, -4.069193593751206e-02, - -4.069193593751206e-02, 9.983427931824393e-01, -4.069193593751206e-02, - 4.069193593751206e-02, -9.983427931824393e-01, -4.069193593751206e-02, - -4.069193593751206e-02, -9.983427931824393e-01, -4.069193593751206e-02, - 9.983427931824393e-01, 4.069193593751206e-02, 4.069193593751206e-02, - -9.983427931824393e-01, 4.069193593751206e-02, 4.069193593751206e-02, - 9.983427931824393e-01, -4.069193593751206e-02, 4.069193593751206e-02, - -9.983427931824393e-01, -4.069193593751206e-02, 4.069193593751206e-02, - 9.983427931824393e-01, 4.069193593751206e-02, -4.069193593751206e-02, - -9.983427931824393e-01, 4.069193593751206e-02, -4.069193593751206e-02, - 9.983427931824393e-01, -4.069193593751206e-02, -4.069193593751206e-02, - -9.983427931824393e-01, -4.069193593751206e-02, -4.069193593751206e-02, - 7.025888115257997e-02, 7.025888115257997e-02, 9.950514455234841e-01, - -7.025888115257997e-02, 7.025888115257997e-02, 9.950514455234841e-01, - 7.025888115257997e-02, -7.025888115257997e-02, 9.950514455234841e-01, - -7.025888115257997e-02, -7.025888115257997e-02, 9.950514455234841e-01, - 7.025888115257997e-02, 7.025888115257997e-02, -9.950514455234841e-01, - -7.025888115257997e-02, 7.025888115257997e-02, -9.950514455234841e-01, - 7.025888115257997e-02, -7.025888115257997e-02, -9.950514455234841e-01, - -7.025888115257997e-02, -7.025888115257997e-02, -9.950514455234841e-01, - 7.025888115257997e-02, 9.950514455234841e-01, 7.025888115257997e-02, - -7.025888115257997e-02, 9.950514455234841e-01, 7.025888115257997e-02, - 7.025888115257997e-02, -9.950514455234841e-01, 7.025888115257997e-02, - -7.025888115257997e-02, -9.950514455234841e-01, 7.025888115257997e-02, - 7.025888115257997e-02, 9.950514455234841e-01, -7.025888115257997e-02, - -7.025888115257997e-02, 9.950514455234841e-01, -7.025888115257997e-02, - 7.025888115257997e-02, -9.950514455234841e-01, -7.025888115257997e-02, - -7.025888115257997e-02, -9.950514455234841e-01, -7.025888115257997e-02, - 9.950514455234841e-01, 7.025888115257997e-02, 7.025888115257997e-02, - -9.950514455234841e-01, 7.025888115257997e-02, 7.025888115257997e-02, - 9.950514455234841e-01, -7.025888115257997e-02, 7.025888115257997e-02, - -9.950514455234841e-01, -7.025888115257997e-02, 7.025888115257997e-02, - 9.950514455234841e-01, 7.025888115257997e-02, -7.025888115257997e-02, - -9.950514455234841e-01, 7.025888115257997e-02, -7.025888115257997e-02, - 9.950514455234841e-01, -7.025888115257997e-02, -7.025888115257997e-02, - -9.950514455234841e-01, -7.025888115257997e-02, -7.025888115257997e-02, - 1.027495450028704e-01, 1.027495450028704e-01, 9.893862046761144e-01, - -1.027495450028704e-01, 1.027495450028704e-01, 9.893862046761144e-01, - 1.027495450028704e-01, -1.027495450028704e-01, 9.893862046761144e-01, - -1.027495450028704e-01, -1.027495450028704e-01, 9.893862046761144e-01, - 1.027495450028704e-01, 1.027495450028704e-01, -9.893862046761144e-01, - -1.027495450028704e-01, 1.027495450028704e-01, -9.893862046761144e-01, - 1.027495450028704e-01, -1.027495450028704e-01, -9.893862046761144e-01, - -1.027495450028704e-01, -1.027495450028704e-01, -9.893862046761144e-01, - 1.027495450028704e-01, 9.893862046761144e-01, 1.027495450028704e-01, - -1.027495450028704e-01, 9.893862046761144e-01, 1.027495450028704e-01, - 1.027495450028704e-01, -9.893862046761144e-01, 1.027495450028704e-01, - -1.027495450028704e-01, -9.893862046761144e-01, 1.027495450028704e-01, - 1.027495450028704e-01, 9.893862046761144e-01, -1.027495450028704e-01, - -1.027495450028704e-01, 9.893862046761144e-01, -1.027495450028704e-01, - 1.027495450028704e-01, -9.893862046761144e-01, -1.027495450028704e-01, - -1.027495450028704e-01, -9.893862046761144e-01, -1.027495450028704e-01, - 9.893862046761144e-01, 1.027495450028704e-01, 1.027495450028704e-01, - -9.893862046761144e-01, 1.027495450028704e-01, 1.027495450028704e-01, - 9.893862046761144e-01, -1.027495450028704e-01, 1.027495450028704e-01, - -9.893862046761144e-01, -1.027495450028704e-01, 1.027495450028704e-01, - 9.893862046761144e-01, 1.027495450028704e-01, -1.027495450028704e-01, - -9.893862046761144e-01, 1.027495450028704e-01, -1.027495450028704e-01, - 9.893862046761144e-01, -1.027495450028704e-01, 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a6e2c7c..0e03247 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_4334.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_4334.hpp @@ -5,8685 +5,5792 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 4334 - * + * */ template struct lebedev_laikov_4334 { + static constexpr std::array, 4334> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 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-7.382832893550715e-01, 6.710994302899275e-01, + 6.755249309678028e-02, 7.382832893550715e-01, -6.710994302899275e-01, + -6.755249309678028e-02, 7.382832893550715e-01, -6.710994302899275e-01, + 6.755249309678028e-02, -7.382832893550715e-01, -6.710994302899275e-01, + -6.755249309678028e-02, -7.382832893550715e-01, -6.710994302899275e-01, + 7.382832893550715e-01, 6.710994302899275e-01, 6.755249309678028e-02, + -7.382832893550715e-01, 6.710994302899275e-01, 6.755249309678028e-02, + 7.382832893550715e-01, -6.710994302899275e-01, 6.755249309678028e-02, + -7.382832893550715e-01, -6.710994302899275e-01, 6.755249309678028e-02, + 7.382832893550715e-01, 6.710994302899275e-01, -6.755249309678028e-02, + -7.382832893550715e-01, 6.710994302899275e-01, -6.755249309678028e-02, + 7.382832893550715e-01, -6.710994302899275e-01, -6.755249309678028e-02, + -7.382832893550715e-01, -6.710994302899275e-01, -6.755249309678028e-02, + 7.382832893550715e-01, 6.755249309678028e-02, 6.710994302899275e-01, + -7.382832893550715e-01, 6.755249309678028e-02, 6.710994302899275e-01, + 7.382832893550715e-01, -6.755249309678028e-02, 6.710994302899275e-01, + -7.382832893550715e-01, -6.755249309678028e-02, 6.710994302899275e-01, + 7.382832893550715e-01, 6.755249309678028e-02, -6.710994302899275e-01, + -7.382832893550715e-01, 6.755249309678028e-02, -6.710994302899275e-01, + 7.382832893550715e-01, -6.755249309678028e-02, -6.710994302899275e-01, + -7.382832893550715e-01, -6.755249309678028e-02, -6.710994302899275e-01}; - static constexpr std::array,4334> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 1.462896151831013e-02, 1.462896151831013e-02, 9.997859705805996e-01, - -1.462896151831013e-02, 1.462896151831013e-02, 9.997859705805996e-01, - 1.462896151831013e-02, -1.462896151831013e-02, 9.997859705805996e-01, - -1.462896151831013e-02, -1.462896151831013e-02, 9.997859705805996e-01, - 1.462896151831013e-02, 1.462896151831013e-02, -9.997859705805996e-01, - -1.462896151831013e-02, 1.462896151831013e-02, -9.997859705805996e-01, - 1.462896151831013e-02, -1.462896151831013e-02, -9.997859705805996e-01, - -1.462896151831013e-02, -1.462896151831013e-02, -9.997859705805996e-01, - 1.462896151831013e-02, 9.997859705805996e-01, 1.462896151831013e-02, - -1.462896151831013e-02, 9.997859705805996e-01, 1.462896151831013e-02, - 1.462896151831013e-02, -9.997859705805996e-01, 1.462896151831013e-02, - -1.462896151831013e-02, -9.997859705805996e-01, 1.462896151831013e-02, - 1.462896151831013e-02, 9.997859705805996e-01, -1.462896151831013e-02, - -1.462896151831013e-02, 9.997859705805996e-01, -1.462896151831013e-02, - 1.462896151831013e-02, -9.997859705805996e-01, -1.462896151831013e-02, - -1.462896151831013e-02, -9.997859705805996e-01, -1.462896151831013e-02, - 9.997859705805996e-01, 1.462896151831013e-02, 1.462896151831013e-02, - -9.997859705805996e-01, 1.462896151831013e-02, 1.462896151831013e-02, - 9.997859705805996e-01, -1.462896151831013e-02, 1.462896151831013e-02, - -9.997859705805996e-01, -1.462896151831013e-02, 1.462896151831013e-02, - 9.997859705805996e-01, 1.462896151831013e-02, -1.462896151831013e-02, - -9.997859705805996e-01, 1.462896151831013e-02, -1.462896151831013e-02, - 9.997859705805996e-01, -1.462896151831013e-02, -1.462896151831013e-02, - -9.997859705805996e-01, -1.462896151831013e-02, -1.462896151831013e-02, - 3.769840812493139e-02, 3.769840812493139e-02, 9.985778187250567e-01, - -3.769840812493139e-02, 3.769840812493139e-02, 9.985778187250567e-01, - 3.769840812493139e-02, -3.769840812493139e-02, 9.985778187250567e-01, - -3.769840812493139e-02, -3.769840812493139e-02, 9.985778187250567e-01, - 3.769840812493139e-02, 3.769840812493139e-02, -9.985778187250567e-01, - -3.769840812493139e-02, 3.769840812493139e-02, -9.985778187250567e-01, - 3.769840812493139e-02, -3.769840812493139e-02, -9.985778187250567e-01, - -3.769840812493139e-02, -3.769840812493139e-02, -9.985778187250567e-01, - 3.769840812493139e-02, 9.985778187250567e-01, 3.769840812493139e-02, - -3.769840812493139e-02, 9.985778187250567e-01, 3.769840812493139e-02, - 3.769840812493139e-02, -9.985778187250567e-01, 3.769840812493139e-02, - -3.769840812493139e-02, -9.985778187250567e-01, 3.769840812493139e-02, - 3.769840812493139e-02, 9.985778187250567e-01, -3.769840812493139e-02, - -3.769840812493139e-02, 9.985778187250567e-01, -3.769840812493139e-02, - 3.769840812493139e-02, -9.985778187250567e-01, -3.769840812493139e-02, - -3.769840812493139e-02, -9.985778187250567e-01, -3.769840812493139e-02, - 9.985778187250567e-01, 3.769840812493139e-02, 3.769840812493139e-02, - -9.985778187250567e-01, 3.769840812493139e-02, 3.769840812493139e-02, - 9.985778187250567e-01, -3.769840812493139e-02, 3.769840812493139e-02, - -9.985778187250567e-01, -3.769840812493139e-02, 3.769840812493139e-02, - 9.985778187250567e-01, 3.769840812493139e-02, -3.769840812493139e-02, - -9.985778187250567e-01, 3.769840812493139e-02, -3.769840812493139e-02, - 9.985778187250567e-01, -3.769840812493139e-02, -3.769840812493139e-02, - -9.985778187250567e-01, -3.769840812493139e-02, -3.769840812493139e-02, - 6.524701904096891e-02, 6.524701904096891e-02, 9.957337259591718e-01, - -6.524701904096891e-02, 6.524701904096891e-02, 9.957337259591718e-01, - 6.524701904096891e-02, -6.524701904096891e-02, 9.957337259591718e-01, - -6.524701904096891e-02, -6.524701904096891e-02, 9.957337259591718e-01, - 6.524701904096891e-02, 6.524701904096891e-02, -9.957337259591718e-01, - -6.524701904096891e-02, 6.524701904096891e-02, -9.957337259591718e-01, - 6.524701904096891e-02, -6.524701904096891e-02, -9.957337259591718e-01, - -6.524701904096891e-02, -6.524701904096891e-02, -9.957337259591718e-01, - 6.524701904096891e-02, 9.957337259591718e-01, 6.524701904096891e-02, - -6.524701904096891e-02, 9.957337259591718e-01, 6.524701904096891e-02, - 6.524701904096891e-02, -9.957337259591718e-01, 6.524701904096891e-02, - -6.524701904096891e-02, -9.957337259591718e-01, 6.524701904096891e-02, - 6.524701904096891e-02, 9.957337259591718e-01, -6.524701904096891e-02, - -6.524701904096891e-02, 9.957337259591718e-01, -6.524701904096891e-02, - 6.524701904096891e-02, -9.957337259591718e-01, -6.524701904096891e-02, - -6.524701904096891e-02, -9.957337259591718e-01, -6.524701904096891e-02, - 9.957337259591718e-01, 6.524701904096891e-02, 6.524701904096891e-02, - -9.957337259591718e-01, 6.524701904096891e-02, 6.524701904096891e-02, - 9.957337259591718e-01, -6.524701904096891e-02, 6.524701904096891e-02, - -9.957337259591718e-01, -6.524701904096891e-02, 6.524701904096891e-02, - 9.957337259591718e-01, 6.524701904096891e-02, -6.524701904096891e-02, - -9.957337259591718e-01, 6.524701904096891e-02, -6.524701904096891e-02, - 9.957337259591718e-01, -6.524701904096891e-02, -6.524701904096891e-02, - -9.957337259591718e-01, -6.524701904096891e-02, -6.524701904096891e-02, - 9.560543416134648e-02, 9.560543416134648e-02, 9.908174412663722e-01, - -9.560543416134648e-02, 9.560543416134648e-02, 9.908174412663722e-01, - 9.560543416134648e-02, -9.560543416134648e-02, 9.908174412663722e-01, - -9.560543416134648e-02, -9.560543416134648e-02, 9.908174412663722e-01, - 9.560543416134648e-02, 9.560543416134648e-02, -9.908174412663722e-01, - -9.560543416134648e-02, 9.560543416134648e-02, -9.908174412663722e-01, - 9.560543416134648e-02, -9.560543416134648e-02, -9.908174412663722e-01, - -9.560543416134648e-02, -9.560543416134648e-02, -9.908174412663722e-01, - 9.560543416134648e-02, 9.908174412663722e-01, 9.560543416134648e-02, - -9.560543416134648e-02, 9.908174412663722e-01, 9.560543416134648e-02, - 9.560543416134648e-02, -9.908174412663722e-01, 9.560543416134648e-02, - -9.560543416134648e-02, -9.908174412663722e-01, 9.560543416134648e-02, - 9.560543416134648e-02, 9.908174412663722e-01, -9.560543416134648e-02, - -9.560543416134648e-02, 9.908174412663722e-01, -9.560543416134648e-02, - 9.560543416134648e-02, -9.908174412663722e-01, -9.560543416134648e-02, - -9.560543416134648e-02, -9.908174412663722e-01, -9.560543416134648e-02, - 9.908174412663722e-01, 9.560543416134648e-02, 9.560543416134648e-02, - -9.908174412663722e-01, 9.560543416134648e-02, 9.560543416134648e-02, - 9.908174412663722e-01, -9.560543416134648e-02, 9.560543416134648e-02, - -9.908174412663722e-01, -9.560543416134648e-02, 9.560543416134648e-02, - 9.908174412663722e-01, 9.560543416134648e-02, -9.560543416134648e-02, - -9.908174412663722e-01, 9.560543416134648e-02, -9.560543416134648e-02, - 9.908174412663722e-01, -9.560543416134648e-02, -9.560543416134648e-02, - -9.908174412663722e-01, -9.560543416134648e-02, -9.560543416134648e-02, - 1.278335898929198e-01, 1.278335898929198e-01, 9.835228246411862e-01, - -1.278335898929198e-01, 1.278335898929198e-01, 9.835228246411862e-01, - 1.278335898929198e-01, -1.278335898929198e-01, 9.835228246411862e-01, - -1.278335898929198e-01, -1.278335898929198e-01, 9.835228246411862e-01, - 1.278335898929198e-01, 1.278335898929198e-01, -9.835228246411862e-01, - -1.278335898929198e-01, 1.278335898929198e-01, -9.835228246411862e-01, - 1.278335898929198e-01, -1.278335898929198e-01, -9.835228246411862e-01, - -1.278335898929198e-01, -1.278335898929198e-01, -9.835228246411862e-01, - 1.278335898929198e-01, 9.835228246411862e-01, 1.278335898929198e-01, - -1.278335898929198e-01, 9.835228246411862e-01, 1.278335898929198e-01, - 1.278335898929198e-01, -9.835228246411862e-01, 1.278335898929198e-01, - -1.278335898929198e-01, -9.835228246411862e-01, 1.278335898929198e-01, - 1.278335898929198e-01, 9.835228246411862e-01, -1.278335898929198e-01, - -1.278335898929198e-01, 9.835228246411862e-01, -1.278335898929198e-01, - 1.278335898929198e-01, -9.835228246411862e-01, -1.278335898929198e-01, - -1.278335898929198e-01, -9.835228246411862e-01, -1.278335898929198e-01, - 9.835228246411862e-01, 1.278335898929198e-01, 1.278335898929198e-01, - -9.835228246411862e-01, 1.278335898929198e-01, 1.278335898929198e-01, - 9.835228246411862e-01, -1.278335898929198e-01, 1.278335898929198e-01, - 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2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04, 2.552114127580376e-04, + 2.552114127580376e-04, 2.552114127580376e-04}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_434.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_434.hpp index 898924f..231e5e9 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_434.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_434.hpp @@ -5,885 +5,592 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 434 - * + * */ template struct lebedev_laikov_434 { + static constexpr std::array, 434> points = { + 1.000000000000000e+00, 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2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.496644054553086e-03, + 2.496644054553086e-03, 2.496644054553086e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03, 2.236607760437849e-03, + 2.236607760437849e-03, 2.236607760437849e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_4802.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_4802.hpp index c8f50ca..614dd51 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_4802.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_4802.hpp @@ -5,9621 +5,6416 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 4802 - * + * */ template struct lebedev_laikov_4802 { + static constexpr std::array, 4802> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 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3af3503..7d9ed83 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_50.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_50.hpp @@ -5,117 +5,80 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 50 - * + * */ template struct lebedev_laikov_50 { + static constexpr std::array, 50> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 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5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, + -3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, + 3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, + -3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, + 3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, + -3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, + 3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, + -3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, + 3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, + -3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, + 3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, + -3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, + 3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, + -3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, + 3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, + -3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, + 9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, + -9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, + 9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, + -9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, + 9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, + -9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, + 9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01, + -9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01}; - static constexpr std::array,50> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, - -3.015113445777636e-01, 3.015113445777636e-01, 9.045340337332909e-01, - 3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, - -3.015113445777636e-01, -3.015113445777636e-01, 9.045340337332909e-01, - 3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, - -3.015113445777636e-01, 3.015113445777636e-01, -9.045340337332909e-01, - 3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, - -3.015113445777636e-01, -3.015113445777636e-01, -9.045340337332909e-01, - 3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, - -3.015113445777636e-01, 9.045340337332909e-01, 3.015113445777636e-01, - 3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, - -3.015113445777636e-01, -9.045340337332909e-01, 3.015113445777636e-01, - 3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, - -3.015113445777636e-01, 9.045340337332909e-01, -3.015113445777636e-01, - 3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, - -3.015113445777636e-01, -9.045340337332909e-01, -3.015113445777636e-01, - 9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, - -9.045340337332909e-01, 3.015113445777636e-01, 3.015113445777636e-01, - 9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, - -9.045340337332909e-01, -3.015113445777636e-01, 3.015113445777636e-01, - 9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, - -9.045340337332909e-01, 3.015113445777636e-01, -3.015113445777636e-01, - 9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01, - -9.045340337332909e-01, -3.015113445777636e-01, -3.015113445777636e-01 - }; - - - static constexpr std::array weights = { - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 1.269841269841270e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.257495590828924e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.109375000000000e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02, - 2.017333553791887e-02 - }; + static constexpr std::array weights = { + 1.269841269841270e-02, 1.269841269841270e-02, 1.269841269841270e-02, + 1.269841269841270e-02, 1.269841269841270e-02, 1.269841269841270e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.257495590828924e-02, 2.257495590828924e-02, 2.257495590828924e-02, + 2.109375000000000e-02, 2.109375000000000e-02, 2.109375000000000e-02, + 2.109375000000000e-02, 2.109375000000000e-02, 2.109375000000000e-02, + 2.109375000000000e-02, 2.109375000000000e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02, 2.017333553791887e-02, + 2.017333553791887e-02, 2.017333553791887e-02}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5294.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5294.hpp index 9eab4e5..ca0ddb3 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5294.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5294.hpp @@ -5,10605 +5,7072 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 5294 - * + * */ template struct lebedev_laikov_5294 { + static constexpr std::array, 5294> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, + -2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, + 2.303261686261450e-02, -2.303261686261450e-02, 9.994693577698718e-01, + -2.303261686261450e-02, -2.303261686261450e-02, 9.994693577698718e-01, + 2.303261686261450e-02, 2.303261686261450e-02, -9.994693577698718e-01, + -2.303261686261450e-02, 2.303261686261450e-02, -9.994693577698718e-01, + 2.303261686261450e-02, -2.303261686261450e-02, -9.994693577698718e-01, + -2.303261686261450e-02, -2.303261686261450e-02, -9.994693577698718e-01, + 2.303261686261450e-02, 9.994693577698718e-01, 2.303261686261450e-02, + -2.303261686261450e-02, 9.994693577698718e-01, 2.303261686261450e-02, + 2.303261686261450e-02, -9.994693577698718e-01, 2.303261686261450e-02, + -2.303261686261450e-02, -9.994693577698718e-01, 2.303261686261450e-02, + 2.303261686261450e-02, 9.994693577698718e-01, -2.303261686261450e-02, + -2.303261686261450e-02, 9.994693577698718e-01, -2.303261686261450e-02, + 2.303261686261450e-02, -9.994693577698718e-01, -2.303261686261450e-02, + -2.303261686261450e-02, -9.994693577698718e-01, -2.303261686261450e-02, + 9.994693577698718e-01, 2.303261686261450e-02, 2.303261686261450e-02, + -9.994693577698718e-01, 2.303261686261450e-02, 2.303261686261450e-02, + 9.994693577698718e-01, -2.303261686261450e-02, 2.303261686261450e-02, + -9.994693577698718e-01, -2.303261686261450e-02, 2.303261686261450e-02, + 9.994693577698718e-01, 2.303261686261450e-02, -2.303261686261450e-02, + -9.994693577698718e-01, 2.303261686261450e-02, -2.303261686261450e-02, + 9.994693577698718e-01, -2.303261686261450e-02, -2.303261686261450e-02, + -9.994693577698718e-01, -2.303261686261450e-02, -2.303261686261450e-02, + 3.757208620162394e-02, 3.757208620162394e-02, 9.985873405350758e-01, + -3.757208620162394e-02, 3.757208620162394e-02, 9.985873405350758e-01, + 3.757208620162394e-02, -3.757208620162394e-02, 9.985873405350758e-01, + -3.757208620162394e-02, -3.757208620162394e-02, 9.985873405350758e-01, + 3.757208620162394e-02, 3.757208620162394e-02, -9.985873405350758e-01, + -3.757208620162394e-02, 3.757208620162394e-02, -9.985873405350758e-01, + 3.757208620162394e-02, -3.757208620162394e-02, -9.985873405350758e-01, + -3.757208620162394e-02, -3.757208620162394e-02, -9.985873405350758e-01, + 3.757208620162394e-02, 9.985873405350758e-01, 3.757208620162394e-02, + -3.757208620162394e-02, 9.985873405350758e-01, 3.757208620162394e-02, + 3.757208620162394e-02, -9.985873405350758e-01, 3.757208620162394e-02, + -3.757208620162394e-02, -9.985873405350758e-01, 3.757208620162394e-02, + 3.757208620162394e-02, 9.985873405350758e-01, -3.757208620162394e-02, + -3.757208620162394e-02, 9.985873405350758e-01, -3.757208620162394e-02, + 3.757208620162394e-02, -9.985873405350758e-01, -3.757208620162394e-02, + -3.757208620162394e-02, -9.985873405350758e-01, -3.757208620162394e-02, + 9.985873405350758e-01, 3.757208620162394e-02, 3.757208620162394e-02, + -9.985873405350758e-01, 3.757208620162394e-02, 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-6.747218676375681e-01, -6.112185773983089e-02, 7.355368922345799e-01, + 6.747218676375681e-01, 6.112185773983089e-02, -7.355368922345799e-01, + -6.747218676375681e-01, 6.112185773983089e-02, -7.355368922345799e-01, + 6.747218676375681e-01, -6.112185773983089e-02, -7.355368922345799e-01, + -6.747218676375681e-01, -6.112185773983089e-02, -7.355368922345799e-01, + 6.747218676375681e-01, 7.355368922345799e-01, 6.112185773983089e-02, + -6.747218676375681e-01, 7.355368922345799e-01, 6.112185773983089e-02, + 6.747218676375681e-01, -7.355368922345799e-01, 6.112185773983089e-02, + -6.747218676375681e-01, -7.355368922345799e-01, 6.112185773983089e-02, + 6.747218676375681e-01, 7.355368922345799e-01, -6.112185773983089e-02, + -6.747218676375681e-01, 7.355368922345799e-01, -6.112185773983089e-02, + 6.747218676375681e-01, -7.355368922345799e-01, -6.112185773983089e-02, + -6.747218676375681e-01, -7.355368922345799e-01, -6.112185773983089e-02, + 6.112185773983089e-02, 6.747218676375681e-01, 7.355368922345799e-01, + -6.112185773983089e-02, 6.747218676375681e-01, 7.355368922345799e-01, + 6.112185773983089e-02, -6.747218676375681e-01, 7.355368922345799e-01, + -6.112185773983089e-02, -6.747218676375681e-01, 7.355368922345799e-01, + 6.112185773983089e-02, 6.747218676375681e-01, -7.355368922345799e-01, + -6.112185773983089e-02, 6.747218676375681e-01, -7.355368922345799e-01, + 6.112185773983089e-02, -6.747218676375681e-01, -7.355368922345799e-01, + -6.112185773983089e-02, -6.747218676375681e-01, -7.355368922345799e-01, + 6.112185773983089e-02, 7.355368922345799e-01, 6.747218676375681e-01, + -6.112185773983089e-02, 7.355368922345799e-01, 6.747218676375681e-01, + 6.112185773983089e-02, -7.355368922345799e-01, 6.747218676375681e-01, + -6.112185773983089e-02, -7.355368922345799e-01, 6.747218676375681e-01, + 6.112185773983089e-02, 7.355368922345799e-01, -6.747218676375681e-01, + -6.112185773983089e-02, 7.355368922345799e-01, -6.747218676375681e-01, + 6.112185773983089e-02, -7.355368922345799e-01, -6.747218676375681e-01, + -6.112185773983089e-02, -7.355368922345799e-01, -6.747218676375681e-01, + 7.355368922345799e-01, 6.747218676375681e-01, 6.112185773983089e-02, + -7.355368922345799e-01, 6.747218676375681e-01, 6.112185773983089e-02, + 7.355368922345799e-01, -6.747218676375681e-01, 6.112185773983089e-02, + -7.355368922345799e-01, -6.747218676375681e-01, 6.112185773983089e-02, + 7.355368922345799e-01, 6.747218676375681e-01, -6.112185773983089e-02, + -7.355368922345799e-01, 6.747218676375681e-01, -6.112185773983089e-02, + 7.355368922345799e-01, -6.747218676375681e-01, -6.112185773983089e-02, + -7.355368922345799e-01, -6.747218676375681e-01, -6.112185773983089e-02, + 7.355368922345799e-01, 6.112185773983089e-02, 6.747218676375681e-01, + -7.355368922345799e-01, 6.112185773983089e-02, 6.747218676375681e-01, + 7.355368922345799e-01, -6.112185773983089e-02, 6.747218676375681e-01, + -7.355368922345799e-01, -6.112185773983089e-02, 6.747218676375681e-01, + 7.355368922345799e-01, 6.112185773983089e-02, -6.747218676375681e-01, + -7.355368922345799e-01, 6.112185773983089e-02, -6.747218676375681e-01, + 7.355368922345799e-01, -6.112185773983089e-02, -6.747218676375681e-01, + -7.355368922345799e-01, -6.112185773983089e-02, -6.747218676375681e-01}; - static constexpr std::array,5294> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, - -2.303261686261450e-02, 2.303261686261450e-02, 9.994693577698718e-01, - 2.303261686261450e-02, -2.303261686261450e-02, 9.994693577698718e-01, - -2.303261686261450e-02, -2.303261686261450e-02, 9.994693577698718e-01, - 2.303261686261450e-02, 2.303261686261450e-02, -9.994693577698718e-01, - -2.303261686261450e-02, 2.303261686261450e-02, -9.994693577698718e-01, - 2.303261686261450e-02, -2.303261686261450e-02, -9.994693577698718e-01, - -2.303261686261450e-02, -2.303261686261450e-02, -9.994693577698718e-01, - 2.303261686261450e-02, 9.994693577698718e-01, 2.303261686261450e-02, - -2.303261686261450e-02, 9.994693577698718e-01, 2.303261686261450e-02, - 2.303261686261450e-02, -9.994693577698718e-01, 2.303261686261450e-02, - -2.303261686261450e-02, -9.994693577698718e-01, 2.303261686261450e-02, - 2.303261686261450e-02, 9.994693577698718e-01, -2.303261686261450e-02, - -2.303261686261450e-02, 9.994693577698718e-01, -2.303261686261450e-02, - 2.303261686261450e-02, -9.994693577698718e-01, -2.303261686261450e-02, - -2.303261686261450e-02, -9.994693577698718e-01, -2.303261686261450e-02, - 9.994693577698718e-01, 2.303261686261450e-02, 2.303261686261450e-02, - -9.994693577698718e-01, 2.303261686261450e-02, 2.303261686261450e-02, - 9.994693577698718e-01, -2.303261686261450e-02, 2.303261686261450e-02, - -9.994693577698718e-01, -2.303261686261450e-02, 2.303261686261450e-02, - 9.994693577698718e-01, 2.303261686261450e-02, -2.303261686261450e-02, - -9.994693577698718e-01, 2.303261686261450e-02, -2.303261686261450e-02, - 9.994693577698718e-01, -2.303261686261450e-02, -2.303261686261450e-02, - -9.994693577698718e-01, -2.303261686261450e-02, -2.303261686261450e-02, - 3.757208620162394e-02, 3.757208620162394e-02, 9.985873405350758e-01, - -3.757208620162394e-02, 3.757208620162394e-02, 9.985873405350758e-01, - 3.757208620162394e-02, -3.757208620162394e-02, 9.985873405350758e-01, - -3.757208620162394e-02, -3.757208620162394e-02, 9.985873405350758e-01, - 3.757208620162394e-02, 3.757208620162394e-02, -9.985873405350758e-01, - -3.757208620162394e-02, 3.757208620162394e-02, -9.985873405350758e-01, - 3.757208620162394e-02, -3.757208620162394e-02, -9.985873405350758e-01, - -3.757208620162394e-02, -3.757208620162394e-02, -9.985873405350758e-01, - 3.757208620162394e-02, 9.985873405350758e-01, 3.757208620162394e-02, - -3.757208620162394e-02, 9.985873405350758e-01, 3.757208620162394e-02, - 3.757208620162394e-02, -9.985873405350758e-01, 3.757208620162394e-02, - -3.757208620162394e-02, -9.985873405350758e-01, 3.757208620162394e-02, - 3.757208620162394e-02, 9.985873405350758e-01, -3.757208620162394e-02, - -3.757208620162394e-02, 9.985873405350758e-01, -3.757208620162394e-02, - 3.757208620162394e-02, -9.985873405350758e-01, -3.757208620162394e-02, - -3.757208620162394e-02, -9.985873405350758e-01, -3.757208620162394e-02, - 9.985873405350758e-01, 3.757208620162394e-02, 3.757208620162394e-02, - -9.985873405350758e-01, 3.757208620162394e-02, 3.757208620162394e-02, - 9.985873405350758e-01, -3.757208620162394e-02, 3.757208620162394e-02, - -9.985873405350758e-01, -3.757208620162394e-02, 3.757208620162394e-02, - 9.985873405350758e-01, 3.757208620162394e-02, -3.757208620162394e-02, - -9.985873405350758e-01, 3.757208620162394e-02, -3.757208620162394e-02, - 9.985873405350758e-01, -3.757208620162394e-02, -3.757208620162394e-02, - -9.985873405350758e-01, -3.757208620162394e-02, -3.757208620162394e-02, - 5.821912033821852e-02, 5.821912033821852e-02, 9.966047702344636e-01, - -5.821912033821852e-02, 5.821912033821852e-02, 9.966047702344636e-01, - 5.821912033821852e-02, -5.821912033821852e-02, 9.966047702344636e-01, - -5.821912033821852e-02, -5.821912033821852e-02, 9.966047702344636e-01, - 5.821912033821852e-02, 5.821912033821852e-02, -9.966047702344636e-01, - -5.821912033821852e-02, 5.821912033821852e-02, -9.966047702344636e-01, - 5.821912033821852e-02, -5.821912033821852e-02, -9.966047702344636e-01, - -5.821912033821852e-02, -5.821912033821852e-02, -9.966047702344636e-01, - 5.821912033821852e-02, 9.966047702344636e-01, 5.821912033821852e-02, - -5.821912033821852e-02, 9.966047702344636e-01, 5.821912033821852e-02, - 5.821912033821852e-02, -9.966047702344636e-01, 5.821912033821852e-02, - -5.821912033821852e-02, -9.966047702344636e-01, 5.821912033821852e-02, - 5.821912033821852e-02, 9.966047702344636e-01, -5.821912033821852e-02, - -5.821912033821852e-02, 9.966047702344636e-01, -5.821912033821852e-02, - 5.821912033821852e-02, -9.966047702344636e-01, -5.821912033821852e-02, - -5.821912033821852e-02, -9.966047702344636e-01, -5.821912033821852e-02, - 9.966047702344636e-01, 5.821912033821852e-02, 5.821912033821852e-02, - -9.966047702344636e-01, 5.821912033821852e-02, 5.821912033821852e-02, - 9.966047702344636e-01, -5.821912033821852e-02, 5.821912033821852e-02, - -9.966047702344636e-01, -5.821912033821852e-02, 5.821912033821852e-02, - 9.966047702344636e-01, 5.821912033821852e-02, -5.821912033821852e-02, - -9.966047702344636e-01, 5.821912033821852e-02, -5.821912033821852e-02, - 9.966047702344636e-01, -5.821912033821852e-02, -5.821912033821852e-02, - -9.966047702344636e-01, -5.821912033821852e-02, -5.821912033821852e-02, - 8.403127529194872e-02, 8.403127529194872e-02, 9.929136364989745e-01, - -8.403127529194872e-02, 8.403127529194872e-02, 9.929136364989745e-01, - 8.403127529194872e-02, -8.403127529194872e-02, 9.929136364989745e-01, - -8.403127529194872e-02, -8.403127529194872e-02, 9.929136364989745e-01, - 8.403127529194872e-02, 8.403127529194872e-02, -9.929136364989745e-01, - -8.403127529194872e-02, 8.403127529194872e-02, -9.929136364989745e-01, - 8.403127529194872e-02, -8.403127529194872e-02, -9.929136364989745e-01, - -8.403127529194872e-02, -8.403127529194872e-02, -9.929136364989745e-01, - 8.403127529194872e-02, 9.929136364989745e-01, 8.403127529194872e-02, - -8.403127529194872e-02, 9.929136364989745e-01, 8.403127529194872e-02, - 8.403127529194872e-02, -9.929136364989745e-01, 8.403127529194872e-02, - -8.403127529194872e-02, -9.929136364989745e-01, 8.403127529194872e-02, - 8.403127529194872e-02, 9.929136364989745e-01, -8.403127529194872e-02, - -8.403127529194872e-02, 9.929136364989745e-01, -8.403127529194872e-02, - 8.403127529194872e-02, -9.929136364989745e-01, -8.403127529194872e-02, - -8.403127529194872e-02, -9.929136364989745e-01, -8.403127529194872e-02, - 9.929136364989745e-01, 8.403127529194872e-02, 8.403127529194872e-02, - -9.929136364989745e-01, 8.403127529194872e-02, 8.403127529194872e-02, - 9.929136364989745e-01, -8.403127529194872e-02, 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2.090509712889637e-04, + 2.090509712889637e-04, 2.090509712889637e-04, 2.090509712889637e-04, + 2.090509712889637e-04, 2.090509712889637e-04, 2.090509712889637e-04, + 2.090509712889637e-04, 2.090509712889637e-04}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5810.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5810.hpp index 7100628..bfcab4a 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5810.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_5810.hpp @@ -5,11637 +5,7760 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 5810 - * + * */ template struct lebedev_laikov_5810 { + static constexpr std::array, 5810> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, + 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, + 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, + -7.071067811865476e-01, 7.071067811865476e-01, 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2.919946135808105e-02, + -7.352068860113937e-01, -6.772135750395347e-01, 2.919946135808105e-02, + 7.352068860113937e-01, 6.772135750395347e-01, -2.919946135808105e-02, + -7.352068860113937e-01, 6.772135750395347e-01, -2.919946135808105e-02, + 7.352068860113937e-01, -6.772135750395347e-01, -2.919946135808105e-02, + -7.352068860113937e-01, -6.772135750395347e-01, -2.919946135808105e-02, + 7.352068860113937e-01, 2.919946135808105e-02, 6.772135750395347e-01, + -7.352068860113937e-01, 2.919946135808105e-02, 6.772135750395347e-01, + 7.352068860113937e-01, -2.919946135808105e-02, 6.772135750395347e-01, + -7.352068860113937e-01, -2.919946135808105e-02, 6.772135750395347e-01, + 7.352068860113937e-01, 2.919946135808105e-02, -6.772135750395347e-01, + -7.352068860113937e-01, 2.919946135808105e-02, -6.772135750395347e-01, + 7.352068860113937e-01, -2.919946135808105e-02, -6.772135750395347e-01, + -7.352068860113937e-01, -2.919946135808105e-02, -6.772135750395347e-01}; - static constexpr std::array,5810> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 1.182361662400277e-02, 1.182361662400277e-02, 9.998601923168344e-01, - 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b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_590.hpp index 9bfefdb..67b6047 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_590.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_590.hpp @@ -5,1197 +5,800 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 590 - * + * */ template struct lebedev_laikov_590 { + static constexpr std::array, 590> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 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-5.033564271075117e-01, -8.999205842074876e-02, + 8.593798558907212e-01, 8.999205842074876e-02, 5.033564271075117e-01, + -8.593798558907212e-01, 8.999205842074876e-02, 5.033564271075117e-01, + 8.593798558907212e-01, -8.999205842074876e-02, 5.033564271075117e-01, + -8.593798558907212e-01, -8.999205842074876e-02, 5.033564271075117e-01, + 8.593798558907212e-01, 8.999205842074876e-02, -5.033564271075117e-01, + -8.593798558907212e-01, 8.999205842074876e-02, -5.033564271075117e-01, + 8.593798558907212e-01, -8.999205842074876e-02, -5.033564271075117e-01, + -8.593798558907212e-01, -8.999205842074876e-02, -5.033564271075117e-01}; - static constexpr std::array,590> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 7.040954938227469e-01, 7.040954938227469e-01, 9.219040707689825e-02, - -7.040954938227469e-01, 7.040954938227469e-01, 9.219040707689825e-02, - 7.040954938227469e-01, -7.040954938227469e-01, 9.219040707689825e-02, - -7.040954938227469e-01, -7.040954938227469e-01, 9.219040707689825e-02, - 7.040954938227469e-01, 7.040954938227469e-01, -9.219040707689825e-02, - -7.040954938227469e-01, 7.040954938227469e-01, -9.219040707689825e-02, - 7.040954938227469e-01, -7.040954938227469e-01, -9.219040707689825e-02, - -7.040954938227469e-01, -7.040954938227469e-01, -9.219040707689825e-02, - 7.040954938227469e-01, 9.219040707689825e-02, 7.040954938227469e-01, - -7.040954938227469e-01, 9.219040707689825e-02, 7.040954938227469e-01, - 7.040954938227469e-01, -9.219040707689825e-02, 7.040954938227469e-01, - -7.040954938227469e-01, -9.219040707689825e-02, 7.040954938227469e-01, - 7.040954938227469e-01, 9.219040707689825e-02, -7.040954938227469e-01, - -7.040954938227469e-01, 9.219040707689825e-02, -7.040954938227469e-01, - 7.040954938227469e-01, -9.219040707689825e-02, -7.040954938227469e-01, - -7.040954938227469e-01, -9.219040707689825e-02, -7.040954938227469e-01, - 9.219040707689825e-02, 7.040954938227469e-01, 7.040954938227469e-01, - -9.219040707689825e-02, 7.040954938227469e-01, 7.040954938227469e-01, - 9.219040707689825e-02, -7.040954938227469e-01, 7.040954938227469e-01, - -9.219040707689825e-02, -7.040954938227469e-01, 7.040954938227469e-01, - 9.219040707689825e-02, 7.040954938227469e-01, -7.040954938227469e-01, - -9.219040707689825e-02, 7.040954938227469e-01, -7.040954938227469e-01, - 9.219040707689825e-02, -7.040954938227469e-01, -7.040954938227469e-01, - -9.219040707689825e-02, -7.040954938227469e-01, -7.040954938227469e-01, - 6.807744066455244e-01, 6.807744066455244e-01, 2.703560883591648e-01, - -6.807744066455244e-01, 6.807744066455244e-01, 2.703560883591648e-01, - 6.807744066455244e-01, -6.807744066455244e-01, 2.703560883591648e-01, - -6.807744066455244e-01, -6.807744066455244e-01, 2.703560883591648e-01, - 6.807744066455244e-01, 6.807744066455244e-01, -2.703560883591648e-01, - -6.807744066455244e-01, 6.807744066455244e-01, -2.703560883591648e-01, - 6.807744066455244e-01, -6.807744066455244e-01, -2.703560883591648e-01, - -6.807744066455244e-01, -6.807744066455244e-01, -2.703560883591648e-01, - 6.807744066455244e-01, 2.703560883591648e-01, 6.807744066455244e-01, - -6.807744066455244e-01, 2.703560883591648e-01, 6.807744066455244e-01, - 6.807744066455244e-01, -2.703560883591648e-01, 6.807744066455244e-01, - -6.807744066455244e-01, -2.703560883591648e-01, 6.807744066455244e-01, - 6.807744066455244e-01, 2.703560883591648e-01, -6.807744066455244e-01, - -6.807744066455244e-01, 2.703560883591648e-01, -6.807744066455244e-01, - 6.807744066455244e-01, -2.703560883591648e-01, -6.807744066455244e-01, - -6.807744066455244e-01, -2.703560883591648e-01, -6.807744066455244e-01, - 2.703560883591648e-01, 6.807744066455244e-01, 6.807744066455244e-01, - -2.703560883591648e-01, 6.807744066455244e-01, 6.807744066455244e-01, - 2.703560883591648e-01, -6.807744066455244e-01, 6.807744066455244e-01, - -2.703560883591648e-01, -6.807744066455244e-01, 6.807744066455244e-01, - 2.703560883591648e-01, 6.807744066455244e-01, -6.807744066455244e-01, - -2.703560883591648e-01, 6.807744066455244e-01, -6.807744066455244e-01, - 2.703560883591648e-01, -6.807744066455244e-01, -6.807744066455244e-01, - -2.703560883591648e-01, -6.807744066455244e-01, -6.807744066455244e-01, - 6.372546939258752e-01, 6.372546939258752e-01, 4.333738687771544e-01, - -6.372546939258752e-01, 6.372546939258752e-01, 4.333738687771544e-01, - 6.372546939258752e-01, -6.372546939258752e-01, 4.333738687771544e-01, - -6.372546939258752e-01, -6.372546939258752e-01, 4.333738687771544e-01, - 6.372546939258752e-01, 6.372546939258752e-01, -4.333738687771544e-01, - -6.372546939258752e-01, 6.372546939258752e-01, -4.333738687771544e-01, - 6.372546939258752e-01, -6.372546939258752e-01, -4.333738687771544e-01, - -6.372546939258752e-01, -6.372546939258752e-01, -4.333738687771544e-01, - 6.372546939258752e-01, 4.333738687771544e-01, 6.372546939258752e-01, - -6.372546939258752e-01, 4.333738687771544e-01, 6.372546939258752e-01, - 6.372546939258752e-01, -4.333738687771544e-01, 6.372546939258752e-01, - -6.372546939258752e-01, -4.333738687771544e-01, 6.372546939258752e-01, - 6.372546939258752e-01, 4.333738687771544e-01, -6.372546939258752e-01, - -6.372546939258752e-01, 4.333738687771544e-01, -6.372546939258752e-01, - 6.372546939258752e-01, -4.333738687771544e-01, -6.372546939258752e-01, - -6.372546939258752e-01, -4.333738687771544e-01, -6.372546939258752e-01, - 4.333738687771544e-01, 6.372546939258752e-01, 6.372546939258752e-01, - -4.333738687771544e-01, 6.372546939258752e-01, 6.372546939258752e-01, - 4.333738687771544e-01, -6.372546939258752e-01, 6.372546939258752e-01, - -4.333738687771544e-01, -6.372546939258752e-01, 6.372546939258752e-01, - 4.333738687771544e-01, 6.372546939258752e-01, -6.372546939258752e-01, - -4.333738687771544e-01, 6.372546939258752e-01, -6.372546939258752e-01, - 4.333738687771544e-01, -6.372546939258752e-01, -6.372546939258752e-01, - -4.333738687771544e-01, -6.372546939258752e-01, -6.372546939258752e-01, - 5.044419707800358e-01, 5.044419707800358e-01, 7.007685753735730e-01, - -5.044419707800358e-01, 5.044419707800358e-01, 7.007685753735730e-01, - 5.044419707800358e-01, -5.044419707800358e-01, 7.007685753735730e-01, - -5.044419707800358e-01, -5.044419707800358e-01, 7.007685753735730e-01, - 5.044419707800358e-01, 5.044419707800358e-01, -7.007685753735730e-01, - -5.044419707800358e-01, 5.044419707800358e-01, -7.007685753735730e-01, - 5.044419707800358e-01, -5.044419707800358e-01, -7.007685753735730e-01, - -5.044419707800358e-01, -5.044419707800358e-01, -7.007685753735730e-01, - 5.044419707800358e-01, 7.007685753735730e-01, 5.044419707800358e-01, - -5.044419707800358e-01, 7.007685753735730e-01, 5.044419707800358e-01, - 5.044419707800358e-01, -7.007685753735730e-01, 5.044419707800358e-01, - -5.044419707800358e-01, -7.007685753735730e-01, 5.044419707800358e-01, - 5.044419707800358e-01, 7.007685753735730e-01, -5.044419707800358e-01, - -5.044419707800358e-01, 7.007685753735730e-01, -5.044419707800358e-01, - 5.044419707800358e-01, -7.007685753735730e-01, -5.044419707800358e-01, - -5.044419707800358e-01, -7.007685753735730e-01, -5.044419707800358e-01, - 7.007685753735730e-01, 5.044419707800358e-01, 5.044419707800358e-01, - -7.007685753735730e-01, 5.044419707800358e-01, 5.044419707800358e-01, - 7.007685753735730e-01, -5.044419707800358e-01, 5.044419707800358e-01, - -7.007685753735730e-01, -5.044419707800358e-01, 5.044419707800358e-01, - 7.007685753735730e-01, 5.044419707800358e-01, -5.044419707800358e-01, - -7.007685753735730e-01, 5.044419707800358e-01, -5.044419707800358e-01, - 7.007685753735730e-01, -5.044419707800358e-01, -5.044419707800358e-01, - -7.007685753735730e-01, -5.044419707800358e-01, -5.044419707800358e-01, - 4.215761784010967e-01, 4.215761784010967e-01, 8.028368773352738e-01, - -4.215761784010967e-01, 4.215761784010967e-01, 8.028368773352738e-01, - 4.215761784010967e-01, -4.215761784010967e-01, 8.028368773352738e-01, - -4.215761784010967e-01, -4.215761784010967e-01, 8.028368773352738e-01, - 4.215761784010967e-01, 4.215761784010967e-01, -8.028368773352738e-01, - -4.215761784010967e-01, 4.215761784010967e-01, -8.028368773352738e-01, - 4.215761784010967e-01, -4.215761784010967e-01, -8.028368773352738e-01, - -4.215761784010967e-01, -4.215761784010967e-01, -8.028368773352738e-01, - 4.215761784010967e-01, 8.028368773352738e-01, 4.215761784010967e-01, - -4.215761784010967e-01, 8.028368773352738e-01, 4.215761784010967e-01, - 4.215761784010967e-01, -8.028368773352738e-01, 4.215761784010967e-01, - -4.215761784010967e-01, -8.028368773352738e-01, 4.215761784010967e-01, - 4.215761784010967e-01, 8.028368773352738e-01, -4.215761784010967e-01, - -4.215761784010967e-01, 8.028368773352738e-01, -4.215761784010967e-01, - 4.215761784010967e-01, -8.028368773352738e-01, -4.215761784010967e-01, - -4.215761784010967e-01, -8.028368773352738e-01, -4.215761784010967e-01, - 8.028368773352738e-01, 4.215761784010967e-01, 4.215761784010967e-01, - -8.028368773352738e-01, 4.215761784010967e-01, 4.215761784010967e-01, - 8.028368773352738e-01, -4.215761784010967e-01, 4.215761784010967e-01, - -8.028368773352738e-01, -4.215761784010967e-01, 4.215761784010967e-01, - 8.028368773352738e-01, 4.215761784010967e-01, -4.215761784010967e-01, - -8.028368773352738e-01, 4.215761784010967e-01, -4.215761784010967e-01, - 8.028368773352738e-01, -4.215761784010967e-01, -4.215761784010967e-01, - -8.028368773352738e-01, -4.215761784010967e-01, -4.215761784010967e-01, - 3.317920736472123e-01, 3.317920736472123e-01, 8.830787279341326e-01, - -3.317920736472123e-01, 3.317920736472123e-01, 8.830787279341326e-01, - 3.317920736472123e-01, -3.317920736472123e-01, 8.830787279341326e-01, - -3.317920736472123e-01, -3.317920736472123e-01, 8.830787279341326e-01, - 3.317920736472123e-01, 3.317920736472123e-01, -8.830787279341326e-01, - -3.317920736472123e-01, 3.317920736472123e-01, -8.830787279341326e-01, - 3.317920736472123e-01, -3.317920736472123e-01, -8.830787279341326e-01, - 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1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03, 1.802239128008525e-03, + 1.802239128008525e-03, 1.802239128008525e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_6.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_6.hpp index 7a6b048..6bc15fa 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_6.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_6.hpp @@ -5,29 +5,21 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 6 - * + * */ template struct lebedev_laikov_6 { + static constexpr std::array, 6> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00}; - static constexpr std::array,6> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00 - }; - - - static constexpr std::array weights = { - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01, - 1.666666666666667e-01 - }; + static constexpr std::array weights = { + 1.666666666666667e-01, 1.666666666666667e-01, 1.666666666666667e-01, + 1.666666666666667e-01, 1.666666666666667e-01, 1.666666666666667e-01}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_74.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_74.hpp index 4136298..253ad2b 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_74.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_74.hpp @@ -5,165 +5,112 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 74 - * + * */ template struct lebedev_laikov_74 { + static constexpr std::array, 74> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, + 0.000000000000000e+00, 7.071067811865476e-01, 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5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, + -4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, + 4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, + -4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, + 4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, + -4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, + 4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, + -4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, + 4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, + -4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, + 4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, + -4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, + 4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, + -4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, + 4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, + -4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, + 7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, + -7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, + 7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, + -7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, + 7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, + -7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, + 7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, + -7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, + 3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, + -3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, + 3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, + -3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, + 9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, + -9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, + 9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, + -9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, + 3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, + -3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, + 3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, + -3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, + 9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, + -9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, + 9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, + -9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, + 0.000000000000000e+00, 3.207726489807764e-01, 9.471562213625879e-01, + 0.000000000000000e+00, -3.207726489807764e-01, 9.471562213625879e-01, + 0.000000000000000e+00, 3.207726489807764e-01, -9.471562213625879e-01, + 0.000000000000000e+00, -3.207726489807764e-01, -9.471562213625879e-01, + 0.000000000000000e+00, 9.471562213625879e-01, 3.207726489807764e-01, + 0.000000000000000e+00, -9.471562213625879e-01, 3.207726489807764e-01, + 0.000000000000000e+00, 9.471562213625879e-01, -3.207726489807764e-01, + 0.000000000000000e+00, -9.471562213625879e-01, -3.207726489807764e-01}; - static constexpr std::array,74> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, - -4.803844614152614e-01, 4.803844614152614e-01, 7.337993857053428e-01, - 4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, - -4.803844614152614e-01, -4.803844614152614e-01, 7.337993857053428e-01, - 4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, - -4.803844614152614e-01, 4.803844614152614e-01, -7.337993857053428e-01, - 4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, - -4.803844614152614e-01, -4.803844614152614e-01, -7.337993857053428e-01, - 4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, - -4.803844614152614e-01, 7.337993857053428e-01, 4.803844614152614e-01, - 4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, - -4.803844614152614e-01, -7.337993857053428e-01, 4.803844614152614e-01, - 4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, - -4.803844614152614e-01, 7.337993857053428e-01, -4.803844614152614e-01, - 4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, - -4.803844614152614e-01, -7.337993857053428e-01, -4.803844614152614e-01, - 7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, - -7.337993857053428e-01, 4.803844614152614e-01, 4.803844614152614e-01, - 7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, - -7.337993857053428e-01, -4.803844614152614e-01, 4.803844614152614e-01, - 7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, - -7.337993857053428e-01, 4.803844614152614e-01, -4.803844614152614e-01, - 7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, - -7.337993857053428e-01, -4.803844614152614e-01, -4.803844614152614e-01, - 3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, - -3.207726489807764e-01, 9.471562213625879e-01, 0.000000000000000e+00, - 3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, - -3.207726489807764e-01, -9.471562213625879e-01, 0.000000000000000e+00, - 9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, - -9.471562213625879e-01, 3.207726489807764e-01, 0.000000000000000e+00, - 9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, - -9.471562213625879e-01, -3.207726489807764e-01, 0.000000000000000e+00, - 3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, - -3.207726489807764e-01, 0.000000000000000e+00, 9.471562213625879e-01, - 3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, - -3.207726489807764e-01, 0.000000000000000e+00, -9.471562213625879e-01, - 9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, - -9.471562213625879e-01, 0.000000000000000e+00, 3.207726489807764e-01, - 9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, - -9.471562213625879e-01, 0.000000000000000e+00, -3.207726489807764e-01, - 0.000000000000000e+00, 3.207726489807764e-01, 9.471562213625879e-01, - 0.000000000000000e+00, -3.207726489807764e-01, 9.471562213625879e-01, - 0.000000000000000e+00, 3.207726489807764e-01, -9.471562213625879e-01, - 0.000000000000000e+00, -3.207726489807764e-01, -9.471562213625879e-01, - 0.000000000000000e+00, 9.471562213625879e-01, 3.207726489807764e-01, - 0.000000000000000e+00, -9.471562213625879e-01, 3.207726489807764e-01, - 0.000000000000000e+00, 9.471562213625879e-01, -3.207726489807764e-01, - 0.000000000000000e+00, -9.471562213625879e-01, -3.207726489807764e-01 - }; - - - static constexpr std::array weights = { - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 5.130671797338464e-04, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - 1.660406956574204e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - -2.958603896103896e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 2.657620708215946e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02, - 1.652217099371571e-02 - }; + static constexpr std::array weights = { + 5.130671797338464e-04, 5.130671797338464e-04, 5.130671797338464e-04, + 5.130671797338464e-04, 5.130671797338464e-04, 5.130671797338464e-04, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + 1.660406956574204e-02, 1.660406956574204e-02, 1.660406956574204e-02, + -2.958603896103896e-02, -2.958603896103896e-02, -2.958603896103896e-02, + -2.958603896103896e-02, -2.958603896103896e-02, -2.958603896103896e-02, + -2.958603896103896e-02, -2.958603896103896e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 2.657620708215946e-02, + 2.657620708215946e-02, 2.657620708215946e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02, 1.652217099371571e-02, + 1.652217099371571e-02, 1.652217099371571e-02}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_770.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_770.hpp index 2a03eef..6ca5116 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_770.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_770.hpp @@ -5,1557 +5,1040 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 770 - * + * */ template struct lebedev_laikov_770 { + static constexpr std::array, 770> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 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3.822477379524787e-01, -7.313007936597657e-01, + 5.648768149099500e-01, -3.822477379524787e-01, -7.313007936597657e-01, + -5.648768149099500e-01, -3.822477379524787e-01, -7.313007936597657e-01, + 5.648768149099500e-01, 7.313007936597657e-01, 3.822477379524787e-01, + -5.648768149099500e-01, 7.313007936597657e-01, 3.822477379524787e-01, + 5.648768149099500e-01, -7.313007936597657e-01, 3.822477379524787e-01, + -5.648768149099500e-01, -7.313007936597657e-01, 3.822477379524787e-01, + 5.648768149099500e-01, 7.313007936597657e-01, -3.822477379524787e-01, + -5.648768149099500e-01, 7.313007936597657e-01, -3.822477379524787e-01, + 5.648768149099500e-01, -7.313007936597657e-01, -3.822477379524787e-01, + -5.648768149099500e-01, -7.313007936597657e-01, -3.822477379524787e-01, + 7.313007936597657e-01, 3.822477379524787e-01, 5.648768149099500e-01, + -7.313007936597657e-01, 3.822477379524787e-01, 5.648768149099500e-01, + 7.313007936597657e-01, -3.822477379524787e-01, 5.648768149099500e-01, + -7.313007936597657e-01, -3.822477379524787e-01, 5.648768149099500e-01, + 7.313007936597657e-01, 3.822477379524787e-01, -5.648768149099500e-01, + -7.313007936597657e-01, 3.822477379524787e-01, -5.648768149099500e-01, + 7.313007936597657e-01, -3.822477379524787e-01, -5.648768149099500e-01, + -7.313007936597657e-01, -3.822477379524787e-01, -5.648768149099500e-01, + 7.313007936597657e-01, 5.648768149099500e-01, 3.822477379524787e-01, + -7.313007936597657e-01, 5.648768149099500e-01, 3.822477379524787e-01, + 7.313007936597657e-01, -5.648768149099500e-01, 3.822477379524787e-01, + -7.313007936597657e-01, -5.648768149099500e-01, 3.822477379524787e-01, + 7.313007936597657e-01, 5.648768149099500e-01, -3.822477379524787e-01, + -7.313007936597657e-01, 5.648768149099500e-01, -3.822477379524787e-01, + 7.313007936597657e-01, -5.648768149099500e-01, -3.822477379524787e-01, + -7.313007936597657e-01, -5.648768149099500e-01, -3.822477379524787e-01}; - static constexpr std::array,770> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 0.000000000000000e+00, 7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, 7.071067811865476e-01, - 0.000000000000000e+00, 7.071067811865476e-01, -7.071067811865476e-01, - 0.000000000000000e+00, -7.071067811865476e-01, -7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, 7.071067811865476e-01, - 7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - -7.071067811865476e-01, 0.000000000000000e+00, -7.071067811865476e-01, - 7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, 7.071067811865476e-01, 0.000000000000000e+00, - 7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - -7.071067811865476e-01, -7.071067811865476e-01, 0.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 5.087204410502360e-02, 5.087204410502360e-02, 9.974086776528230e-01, - -5.087204410502360e-02, 5.087204410502360e-02, 9.974086776528230e-01, - 5.087204410502360e-02, -5.087204410502360e-02, 9.974086776528230e-01, - -5.087204410502360e-02, -5.087204410502360e-02, 9.974086776528230e-01, - 5.087204410502360e-02, 5.087204410502360e-02, -9.974086776528230e-01, - -5.087204410502360e-02, 5.087204410502360e-02, -9.974086776528230e-01, - 5.087204410502360e-02, -5.087204410502360e-02, -9.974086776528230e-01, - -5.087204410502360e-02, -5.087204410502360e-02, -9.974086776528230e-01, - 5.087204410502360e-02, 9.974086776528230e-01, 5.087204410502360e-02, - -5.087204410502360e-02, 9.974086776528230e-01, 5.087204410502360e-02, - 5.087204410502360e-02, -9.974086776528230e-01, 5.087204410502360e-02, - -5.087204410502360e-02, -9.974086776528230e-01, 5.087204410502360e-02, - 5.087204410502360e-02, 9.974086776528230e-01, -5.087204410502360e-02, - -5.087204410502360e-02, 9.974086776528230e-01, -5.087204410502360e-02, - 5.087204410502360e-02, -9.974086776528230e-01, -5.087204410502360e-02, - -5.087204410502360e-02, -9.974086776528230e-01, -5.087204410502360e-02, - 9.974086776528230e-01, 5.087204410502360e-02, 5.087204410502360e-02, - -9.974086776528230e-01, 5.087204410502360e-02, 5.087204410502360e-02, - 9.974086776528230e-01, -5.087204410502360e-02, 5.087204410502360e-02, - -9.974086776528230e-01, -5.087204410502360e-02, 5.087204410502360e-02, - 9.974086776528230e-01, 5.087204410502360e-02, -5.087204410502360e-02, - -9.974086776528230e-01, 5.087204410502360e-02, -5.087204410502360e-02, - 9.974086776528230e-01, -5.087204410502360e-02, -5.087204410502360e-02, - -9.974086776528230e-01, -5.087204410502360e-02, -5.087204410502360e-02, - 1.228198790178831e-01, 1.228198790178831e-01, 9.847997535723012e-01, - -1.228198790178831e-01, 1.228198790178831e-01, 9.847997535723012e-01, - 1.228198790178831e-01, -1.228198790178831e-01, 9.847997535723012e-01, - -1.228198790178831e-01, -1.228198790178831e-01, 9.847997535723012e-01, - 1.228198790178831e-01, 1.228198790178831e-01, -9.847997535723012e-01, - -1.228198790178831e-01, 1.228198790178831e-01, -9.847997535723012e-01, - 1.228198790178831e-01, -1.228198790178831e-01, -9.847997535723012e-01, - -1.228198790178831e-01, -1.228198790178831e-01, -9.847997535723012e-01, - 1.228198790178831e-01, 9.847997535723012e-01, 1.228198790178831e-01, - -1.228198790178831e-01, 9.847997535723012e-01, 1.228198790178831e-01, - 1.228198790178831e-01, -9.847997535723012e-01, 1.228198790178831e-01, - -1.228198790178831e-01, -9.847997535723012e-01, 1.228198790178831e-01, - 1.228198790178831e-01, 9.847997535723012e-01, -1.228198790178831e-01, - -1.228198790178831e-01, 9.847997535723012e-01, -1.228198790178831e-01, - 1.228198790178831e-01, -9.847997535723012e-01, -1.228198790178831e-01, - -1.228198790178831e-01, -9.847997535723012e-01, -1.228198790178831e-01, - 9.847997535723012e-01, 1.228198790178831e-01, 1.228198790178831e-01, - -9.847997535723012e-01, 1.228198790178831e-01, 1.228198790178831e-01, - 9.847997535723012e-01, -1.228198790178831e-01, 1.228198790178831e-01, - -9.847997535723012e-01, -1.228198790178831e-01, 1.228198790178831e-01, - 9.847997535723012e-01, 1.228198790178831e-01, -1.228198790178831e-01, - -9.847997535723012e-01, 1.228198790178831e-01, -1.228198790178831e-01, - 9.847997535723012e-01, -1.228198790178831e-01, -1.228198790178831e-01, - -9.847997535723012e-01, -1.228198790178831e-01, -1.228198790178831e-01, - 2.026890814408786e-01, 2.026890814408786e-01, 9.580366759833914e-01, - -2.026890814408786e-01, 2.026890814408786e-01, 9.580366759833914e-01, - 2.026890814408786e-01, -2.026890814408786e-01, 9.580366759833914e-01, - -2.026890814408786e-01, -2.026890814408786e-01, 9.580366759833914e-01, - 2.026890814408786e-01, 2.026890814408786e-01, -9.580366759833914e-01, - -2.026890814408786e-01, 2.026890814408786e-01, -9.580366759833914e-01, - 2.026890814408786e-01, -2.026890814408786e-01, -9.580366759833914e-01, - -2.026890814408786e-01, -2.026890814408786e-01, -9.580366759833914e-01, - 2.026890814408786e-01, 9.580366759833914e-01, 2.026890814408786e-01, - -2.026890814408786e-01, 9.580366759833914e-01, 2.026890814408786e-01, - 2.026890814408786e-01, -9.580366759833914e-01, 2.026890814408786e-01, - -2.026890814408786e-01, -9.580366759833914e-01, 2.026890814408786e-01, - 2.026890814408786e-01, 9.580366759833914e-01, -2.026890814408786e-01, - -2.026890814408786e-01, 9.580366759833914e-01, -2.026890814408786e-01, - 2.026890814408786e-01, -9.580366759833914e-01, -2.026890814408786e-01, - -2.026890814408786e-01, -9.580366759833914e-01, -2.026890814408786e-01, - 9.580366759833914e-01, 2.026890814408786e-01, 2.026890814408786e-01, - -9.580366759833914e-01, 2.026890814408786e-01, 2.026890814408786e-01, - 9.580366759833914e-01, -2.026890814408786e-01, 2.026890814408786e-01, - -9.580366759833914e-01, -2.026890814408786e-01, 2.026890814408786e-01, - 9.580366759833914e-01, 2.026890814408786e-01, -2.026890814408786e-01, - -9.580366759833914e-01, 2.026890814408786e-01, -2.026890814408786e-01, - 9.580366759833914e-01, -2.026890814408786e-01, -2.026890814408786e-01, - -9.580366759833914e-01, -2.026890814408786e-01, -2.026890814408786e-01, - 2.847745156464294e-01, 2.847745156464294e-01, 9.153179504831548e-01, - -2.847745156464294e-01, 2.847745156464294e-01, 9.153179504831548e-01, - 2.847745156464294e-01, -2.847745156464294e-01, 9.153179504831548e-01, - -2.847745156464294e-01, -2.847745156464294e-01, 9.153179504831548e-01, - 2.847745156464294e-01, 2.847745156464294e-01, -9.153179504831548e-01, - -2.847745156464294e-01, 2.847745156464294e-01, -9.153179504831548e-01, - 2.847745156464294e-01, -2.847745156464294e-01, -9.153179504831548e-01, - -2.847745156464294e-01, -2.847745156464294e-01, -9.153179504831548e-01, - 2.847745156464294e-01, 9.153179504831548e-01, 2.847745156464294e-01, - -2.847745156464294e-01, 9.153179504831548e-01, 2.847745156464294e-01, - 2.847745156464294e-01, -9.153179504831548e-01, 2.847745156464294e-01, - -2.847745156464294e-01, -9.153179504831548e-01, 2.847745156464294e-01, - 2.847745156464294e-01, 9.153179504831548e-01, -2.847745156464294e-01, - -2.847745156464294e-01, 9.153179504831548e-01, -2.847745156464294e-01, - 2.847745156464294e-01, -9.153179504831548e-01, -2.847745156464294e-01, - -2.847745156464294e-01, -9.153179504831548e-01, -2.847745156464294e-01, - 9.153179504831548e-01, 2.847745156464294e-01, 2.847745156464294e-01, - -9.153179504831548e-01, 2.847745156464294e-01, 2.847745156464294e-01, - 9.153179504831548e-01, -2.847745156464294e-01, 2.847745156464294e-01, - -9.153179504831548e-01, -2.847745156464294e-01, 2.847745156464294e-01, - 9.153179504831548e-01, 2.847745156464294e-01, -2.847745156464294e-01, - -9.153179504831548e-01, 2.847745156464294e-01, -2.847745156464294e-01, - 9.153179504831548e-01, -2.847745156464294e-01, -2.847745156464294e-01, - -9.153179504831548e-01, -2.847745156464294e-01, -2.847745156464294e-01, - 3.656719078978026e-01, 3.656719078978026e-01, 8.559019286978865e-01, - 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1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03, 1.415914757466932e-03, + 1.415914757466932e-03, 1.415914757466932e-03}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_86.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_86.hpp index 37de2b5..133620f 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_86.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_86.hpp @@ -5,189 +5,128 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 86 - * + * */ template struct lebedev_laikov_86 { + static constexpr std::array, 86> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, + -3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, + 3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, + -3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, + 3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, + -3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, + 3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, + -3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, + 3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, + -3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, + 3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, + -3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, + 3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, + -3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, + 3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, + -3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, + 8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, + -8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, + 8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, + -8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, + 8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, + -8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, + 8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, + -8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, + 6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, + -6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, + 6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, + -6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, + 6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, + -6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, + 6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, + -6.943540066026664e-01, 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-1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, + 1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, + -1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, + 3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, + -3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, + 3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, + -3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, + 9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, + -9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, + 9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, + -9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, + 3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, + -3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, + 3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, + -3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, + 9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, + -9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, + 9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, + -9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, + 0.000000000000000e+00, 3.742430390903412e-01, 9.273306571511725e-01, + 0.000000000000000e+00, -3.742430390903412e-01, 9.273306571511725e-01, + 0.000000000000000e+00, 3.742430390903412e-01, -9.273306571511725e-01, + 0.000000000000000e+00, -3.742430390903412e-01, -9.273306571511725e-01, + 0.000000000000000e+00, 9.273306571511725e-01, 3.742430390903412e-01, + 0.000000000000000e+00, -9.273306571511725e-01, 3.742430390903412e-01, + 0.000000000000000e+00, 9.273306571511725e-01, -3.742430390903412e-01, + 0.000000000000000e+00, -9.273306571511725e-01, -3.742430390903412e-01}; - static constexpr std::array,86> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, - 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, - 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, - 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, - 3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, - -3.696028464541502e-01, 3.696028464541502e-01, 8.525183117012676e-01, - 3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, - -3.696028464541502e-01, -3.696028464541502e-01, 8.525183117012676e-01, - 3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, - -3.696028464541502e-01, 3.696028464541502e-01, -8.525183117012676e-01, - 3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, - -3.696028464541502e-01, -3.696028464541502e-01, -8.525183117012676e-01, - 3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, - -3.696028464541502e-01, 8.525183117012676e-01, 3.696028464541502e-01, - 3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, - -3.696028464541502e-01, -8.525183117012676e-01, 3.696028464541502e-01, - 3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, - -3.696028464541502e-01, 8.525183117012676e-01, -3.696028464541502e-01, - 3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, - -3.696028464541502e-01, -8.525183117012676e-01, -3.696028464541502e-01, - 8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, - -8.525183117012676e-01, 3.696028464541502e-01, 3.696028464541502e-01, - 8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, - -8.525183117012676e-01, -3.696028464541502e-01, 3.696028464541502e-01, - 8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, - -8.525183117012676e-01, 3.696028464541502e-01, -3.696028464541502e-01, - 8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, - -8.525183117012676e-01, -3.696028464541502e-01, -3.696028464541502e-01, - 6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, - -6.943540066026664e-01, 6.943540066026664e-01, 1.890635528853950e-01, - 6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, - -6.943540066026664e-01, -6.943540066026664e-01, 1.890635528853950e-01, - 6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, - -6.943540066026664e-01, 6.943540066026664e-01, -1.890635528853950e-01, - 6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, - -6.943540066026664e-01, -6.943540066026664e-01, -1.890635528853950e-01, - 6.943540066026664e-01, 1.890635528853950e-01, 6.943540066026664e-01, - -6.943540066026664e-01, 1.890635528853950e-01, 6.943540066026664e-01, - 6.943540066026664e-01, -1.890635528853950e-01, 6.943540066026664e-01, - -6.943540066026664e-01, -1.890635528853950e-01, 6.943540066026664e-01, - 6.943540066026664e-01, 1.890635528853950e-01, -6.943540066026664e-01, - -6.943540066026664e-01, 1.890635528853950e-01, -6.943540066026664e-01, - 6.943540066026664e-01, -1.890635528853950e-01, -6.943540066026664e-01, - -6.943540066026664e-01, -1.890635528853950e-01, -6.943540066026664e-01, - 1.890635528853950e-01, 6.943540066026664e-01, 6.943540066026664e-01, - -1.890635528853950e-01, 6.943540066026664e-01, 6.943540066026664e-01, - 1.890635528853950e-01, -6.943540066026664e-01, 6.943540066026664e-01, - -1.890635528853950e-01, -6.943540066026664e-01, 6.943540066026664e-01, - 1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, - -1.890635528853950e-01, 6.943540066026664e-01, -6.943540066026664e-01, - 1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, - -1.890635528853950e-01, -6.943540066026664e-01, -6.943540066026664e-01, - 3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, - -3.742430390903412e-01, 9.273306571511725e-01, 0.000000000000000e+00, - 3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, - -3.742430390903412e-01, -9.273306571511725e-01, 0.000000000000000e+00, - 9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, - -9.273306571511725e-01, 3.742430390903412e-01, 0.000000000000000e+00, - 9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, - -9.273306571511725e-01, -3.742430390903412e-01, 0.000000000000000e+00, - 3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, - -3.742430390903412e-01, 0.000000000000000e+00, 9.273306571511725e-01, - 3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, - -3.742430390903412e-01, 0.000000000000000e+00, -9.273306571511725e-01, - 9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, - -9.273306571511725e-01, 0.000000000000000e+00, 3.742430390903412e-01, - 9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, - -9.273306571511725e-01, 0.000000000000000e+00, -3.742430390903412e-01, - 0.000000000000000e+00, 3.742430390903412e-01, 9.273306571511725e-01, - 0.000000000000000e+00, -3.742430390903412e-01, 9.273306571511725e-01, - 0.000000000000000e+00, 3.742430390903412e-01, -9.273306571511725e-01, - 0.000000000000000e+00, -3.742430390903412e-01, -9.273306571511725e-01, - 0.000000000000000e+00, 9.273306571511725e-01, 3.742430390903412e-01, - 0.000000000000000e+00, -9.273306571511725e-01, 3.742430390903412e-01, - 0.000000000000000e+00, 9.273306571511725e-01, -3.742430390903412e-01, - 0.000000000000000e+00, -9.273306571511725e-01, -3.742430390903412e-01 - }; - - - static constexpr std::array weights = { - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.154401154401154e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.194390908585628e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.111055571060340e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.187650129453714e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02, - 1.181230374690448e-02 - }; + static constexpr std::array weights = { + 1.154401154401154e-02, 1.154401154401154e-02, 1.154401154401154e-02, + 1.154401154401154e-02, 1.154401154401154e-02, 1.154401154401154e-02, + 1.194390908585628e-02, 1.194390908585628e-02, 1.194390908585628e-02, + 1.194390908585628e-02, 1.194390908585628e-02, 1.194390908585628e-02, + 1.194390908585628e-02, 1.194390908585628e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.111055571060340e-02, + 1.111055571060340e-02, 1.111055571060340e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.187650129453714e-02, + 1.187650129453714e-02, 1.187650129453714e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02, 1.181230374690448e-02, + 1.181230374690448e-02, 1.181230374690448e-02}; }; -} -} +} // namespace LebedevLaikovGrids +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_974.hpp b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_974.hpp index 5f32337..2e6222a 100644 --- a/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_974.hpp +++ b/include/integratorxx/quadratures/lebedev_laikov/lebedev_laikov_974.hpp @@ -5,1965 +5,1312 @@ namespace LebedevLaikovGrids { /** * \brief Lebedev-Laikov Quadrature specification for Order = 974 - * + * */ template struct lebedev_laikov_974 { + static constexpr std::array, 974> points = { + 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, + 0.000000000000000e+00, 0.000000000000000e+00, -1.000000000000000e+00, + 5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, 5.773502691896257e-01, + 5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, 5.773502691896257e-01, -5.773502691896257e-01, + 5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + -5.773502691896257e-01, -5.773502691896257e-01, -5.773502691896257e-01, + 4.292963545341347e-02, 4.292963545341347e-02, 9.981553450238465e-01, + -4.292963545341347e-02, 4.292963545341347e-02, 9.981553450238465e-01, + 4.292963545341347e-02, -4.292963545341347e-02, 9.981553450238465e-01, + -4.292963545341347e-02, -4.292963545341347e-02, 9.981553450238465e-01, + 4.292963545341347e-02, 4.292963545341347e-02, -9.981553450238465e-01, + -4.292963545341347e-02, 4.292963545341347e-02, -9.981553450238465e-01, + 4.292963545341347e-02, -4.292963545341347e-02, -9.981553450238465e-01, + -4.292963545341347e-02, -4.292963545341347e-02, -9.981553450238465e-01, + 4.292963545341347e-02, 9.981553450238465e-01, 4.292963545341347e-02, + -4.292963545341347e-02, 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5.674997546074373e-01, 4.055122137872836e-01, + -7.165918454670238e-01, 5.674997546074373e-01, 4.055122137872836e-01, + 7.165918454670238e-01, -5.674997546074373e-01, 4.055122137872836e-01, + -7.165918454670238e-01, -5.674997546074373e-01, 4.055122137872836e-01, + 7.165918454670238e-01, 5.674997546074373e-01, -4.055122137872836e-01, + -7.165918454670238e-01, 5.674997546074373e-01, -4.055122137872836e-01, + 7.165918454670238e-01, -5.674997546074373e-01, -4.055122137872836e-01, + -7.165918454670238e-01, -5.674997546074373e-01, -4.055122137872836e-01}; - static constexpr std::array,974> points = { - 1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - -1.000000000000000e+00, 0.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e+00, - 0.000000000000000e+00, 0.000000000000000e+00, 1.000000000000000e+00, - 0.000000000000000e+00, 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points - * @tparam WeightType Type describing the quadrature weights + * @tparam PointType Type describing the quadrature points + * @tparam WeightType Type describing the quadrature weights */ template -class MurrayHandyLaming : - public Quadrature> { - - using base_type = Quadrature>; - -public: - - using point_type = typename base_type::point_type; - using weight_type = typename base_type::weight_type; - using point_container = typename base_type::point_container; +class MurrayHandyLaming + : public Quadrature> { + using base_type = Quadrature>; + + public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; using weight_container = typename base_type::weight_container; - + /** * @brief Construct the Murray-Handy-Laming radial quadrature * * @param[in] npts Number of quadrature points to generate - * @param[in] R Radial scaling factor. Suggested to be set to + * @param[in] R Radial scaling factor. Suggested to be set to * correspond to the Bragg-Slater radius of the - * appropriate nucleus + * appropriate nucleus * @param[in] m Exponent factor for the quadrature. 2 was the - * default suggested in the reference. + * default suggested in the reference. */ - MurrayHandyLaming(size_t npts, weight_type R = 1., int m = 2): - base_type( npts, R, m ) { } + MurrayHandyLaming(size_t npts, weight_type R = 1., int m = 2) + : base_type(npts, R, m) {} - MurrayHandyLaming( const MurrayHandyLaming& ) = default; - MurrayHandyLaming( MurrayHandyLaming&& ) noexcept = default; + MurrayHandyLaming(const MurrayHandyLaming&) = default; + MurrayHandyLaming(MurrayHandyLaming&&) noexcept = default; }; - - - - - /** * @brief Quadrature traits for the Murray-Handy-Laming quadrature * - * @tparam PointType Type describing the quadrature points - * @tparam WeightType Type describing the quadrature weights + * @tparam PointType Type describing the quadrature points + * @tparam WeightType Type describing the quadrature weights */ template struct quadrature_traits< - MurrayHandyLaming, - std::enable_if_t< - std::is_floating_point_v and - std::is_floating_point_v - > -> { - - using point_type = PointType; + MurrayHandyLaming, + std::enable_if_t and + std::is_floating_point_v>> { + using point_type = PointType; using weight_type = WeightType; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; - + using point_container = std::vector; + using weight_container = std::vector; /** * @brief Generator for the Murray-Handy-Laming quadrature * * @param[in] npts Number of quadrature points to generate - * @param[in] R Radial scaling factor. Suggested to be set to + * @param[in] R Radial scaling factor. Suggested to be set to * correspond to the Bragg-Slater radius of the - * appropriate nucleus + * appropriate nucleus * @param[in] m Exponent fector for the quadrature. 2 was the - * default suggested in the original reference. + * default suggested in the original reference. * * @returns Tuple of quadrature points and weights */ - inline static std::tuple - generate( size_t npts, weight_type R, int m ) { - - point_container points( npts ); - weight_container weights( npts ); - + inline static std::tuple generate( + size_t npts, weight_type R, int m) { + point_container points(npts); + weight_container weights(npts); - using base_quad_traits = - quadrature_traits>; + using base_quad_traits = + quadrature_traits>; /* * Generate uniform trapezoid points on [0,1] @@ -104,7 +90,7 @@ struct quadrature_traits< * uw(j) = 1/(m-1) * m = npts + 2, j in [0, npts+2) */ - auto [ux, uw] = base_quad_traits::generate( npts+2, 0., 1. ); + auto [ux, uw] = base_quad_traits::generate(npts + 2, 0., 1.); /* * Perform Murray, Handy and Laming transformation @@ -116,28 +102,25 @@ struct quadrature_traits< * Closed form for points / weights obtained from: * Journal of Computational Chemistry, 24: 732–740, 2003 * DOI: https://doi.org/10.1002/jcc.10211 - * + * * x(i) = ux(i+1) * r(i) = [x(i) / (1 - x(i))]^m * w(i) = uw(i+1) * m * x(i)^(m-1) * [1 - x(i)]^(-m-1) * i in [0, npts) * - * XXX: i+1 offset on trapezoid points ignores enpoints of trapezoid + * XXX: i+1 offset on trapezoid points ignores enpoints of trapezoid * quadrature (f(r) = 0 with r in {0,inf}) */ - for( size_t i = 0; i < npts; ++i ) { - const auto xi = ux[i+1]; + for(size_t i = 0; i < npts; ++i) { + const auto xi = ux[i + 1]; const auto one_m_xi = 1. - xi; - points[i] = R * std::pow( xi / one_m_xi, m ); - weights[i] = R * uw[i+1] * m * std::pow( xi, m-1 ) / std::pow( one_m_xi, m+1); + points[i] = R * std::pow(xi / one_m_xi, m); + weights[i] = + R * uw[i + 1] * m * std::pow(xi, m - 1) / std::pow(one_m_xi, m + 1); } - - - - return std::make_tuple( points, weights ); + return std::make_tuple(points, weights); } - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/muraknowles.hpp b/include/integratorxx/quadratures/muraknowles.hpp index 5847ce0..dbe1120 100644 --- a/include/integratorxx/quadratures/muraknowles.hpp +++ b/include/integratorxx/quadratures/muraknowles.hpp @@ -13,84 +13,69 @@ namespace IntegratorXX { * radial integrands, i.e. r^2 * f(r), with lim_{r->inf} f(r) = 0. * * Reference: - * J. Chem. Phys. 104, 9848 (1996); + * J. Chem. Phys. 104, 9848 (1996); * DOI: https://doi.org/10.1063/1.471749 * - * @tparam PointType Type describing the quadrature points - * @tparam WeightType Type describing the quadrature weights + * @tparam PointType Type describing the quadrature points + * @tparam WeightType Type describing the quadrature weights */ template -class MuraKnowles : - public Quadrature> { +class MuraKnowles : public Quadrature> { + using base_type = Quadrature>; - using base_type = Quadrature>; - -public: - - using point_type = typename base_type::point_type; - using weight_type = typename base_type::weight_type; - using point_container = typename base_type::point_container; + public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; using weight_container = typename base_type::weight_container; - + /** * @brief Construct the Mura-Knowles radial quadrature * * @param[in] npts Number of quadrature points to generate * @param[in] R Radial scaling factor. Table for suggested - * values is given in the original reference. + * values is given in the original reference. */ - MuraKnowles(size_t npts, weight_type R = 1.): base_type( npts, R ) { } + MuraKnowles(size_t npts, weight_type R = 1.) : base_type(npts, R) {} - MuraKnowles( const MuraKnowles& ) = default; - MuraKnowles( MuraKnowles&& ) noexcept = default; + MuraKnowles(const MuraKnowles&) = default; + MuraKnowles(MuraKnowles&&) noexcept = default; }; - - - - - - /** * @brief Quadrature traits for the Mura-Knowles quadrature * - * @tparam PointType Type describing the quadrature points - * @tparam WeightType Type describing the quadrature weights + * @tparam PointType Type describing the quadrature points + * @tparam WeightType Type describing the quadrature weights */ template struct quadrature_traits< - MuraKnowles, - std::enable_if_t< - std::is_floating_point_v and - std::is_floating_point_v - > -> { - - using point_type = PointType; + MuraKnowles, + std::enable_if_t and + std::is_floating_point_v>> { + using point_type = PointType; using weight_type = WeightType; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; + using point_container = std::vector; + using weight_container = std::vector; /** * @brief Generator for the Mura-Knowles quadrature * * @param[in] npts Number of quadrature points to generate * @param[in] R Radial scaling factor. Table for suggested - * values is given in the original reference. + * values is given in the original reference. * * @returns Tuple of quadrature points and weights */ - inline static std::tuple - generate( size_t npts, weight_type R ) { - - point_container points( npts ); - weight_container weights( npts ); + inline static std::tuple generate( + size_t npts, weight_type R) { + point_container points(npts); + weight_container weights(npts); - - using base_quad_traits = - quadrature_traits>; + using base_quad_traits = + quadrature_traits>; /* * Generate uniform trapezoid points on [0,1] @@ -98,38 +83,36 @@ struct quadrature_traits< * uw(j) = 1/(m-1) * m = npts + 2, j in [0, npts+2) */ - auto [ux, uw] = base_quad_traits::generate( npts+2, 0., 1. ); + auto [ux, uw] = base_quad_traits::generate(npts + 2, 0., 1.); /* * Perform Mura and Knowles transformation * * Original reference: - * J. Chem. Phys. 104, 9848 (1996); + * J. Chem. Phys. 104, 9848 (1996); * DOI: https://doi.org/10.1063/1.471749 * * Closed form for points / weights obtained from: * Journal of Computational Chemistry, 24: 732–740, 2003 * DOI: https://doi.org/10.1002/jcc.10211 - * + * * x(i) = ux(i+1) - * r(i) = - log(1 - x(i)^3) - * w(i) = uw(i+1) * 3 * x(i)^2 / ( 1 - x(i)^3 ) + * r(i) = - log(1 - x(i)^3) + * w(i) = uw(i+1) * 3 * x(i)^2 / ( 1 - x(i)^3 ) * i in [0, npts) * - * XXX: i+1 offset on trapezoid points ignores enpoints of trapezoid + * XXX: i+1 offset on trapezoid points ignores enpoints of trapezoid * quadrature (f(r) = 0 with r in {0,inf}) */ - for( size_t i = 0; i < npts; ++i ) { - const auto xi = ux[i+1]; - const auto one_m_xi3 = 1. - xi*xi*xi; - points[i] = -R * std::log( one_m_xi3 ); - weights[i] = R * uw[i+1] * 3 * xi * xi / one_m_xi3; + for(size_t i = 0; i < npts; ++i) { + const auto xi = ux[i + 1]; + const auto one_m_xi3 = 1. - xi * xi * xi; + points[i] = -R * std::log(one_m_xi3); + weights[i] = R * uw[i + 1] * 3 * xi * xi / one_m_xi3; } - - return std::make_tuple( points, weights ); + return std::make_tuple(points, weights); } - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/treutlerahlrichs.hpp b/include/integratorxx/quadratures/treutlerahlrichs.hpp index 48ceb91..fcc7d28 100644 --- a/include/integratorxx/quadratures/treutlerahlrichs.hpp +++ b/include/integratorxx/quadratures/treutlerahlrichs.hpp @@ -4,7 +4,6 @@ namespace IntegratorXX { - /** * @brief Implementation of the Treutler-Ahlrichs radial quadrature. * @@ -20,16 +19,14 @@ namespace IntegratorXX { * @tparam WeightType Type describing the quadrature weights */ template -class TreutlerAhlrichs : - public Quadrature> { - - using base_type = Quadrature>; - -public: - - using point_type = typename base_type::point_type; - using weight_type = typename base_type::weight_type; - using point_container = typename base_type::point_container; +class TreutlerAhlrichs + : public Quadrature> { + using base_type = Quadrature>; + + public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; using weight_container = typename base_type::weight_container; /** @@ -41,18 +38,13 @@ class TreutlerAhlrichs : * @param[in] alpha Exponent factor for the quadrature. 0.6 was the * default suggested in the reference. */ - TreutlerAhlrichs(size_t npts, weight_type R = 1., weight_type alpha = 0.6): - base_type( npts, R, alpha ) { } + TreutlerAhlrichs(size_t npts, weight_type R = 1., weight_type alpha = 0.6) + : base_type(npts, R, alpha) {} - TreutlerAhlrichs( const TreutlerAhlrichs& ) = default; - TreutlerAhlrichs( TreutlerAhlrichs&& ) noexcept = default; + TreutlerAhlrichs(const TreutlerAhlrichs&) = default; + TreutlerAhlrichs(TreutlerAhlrichs&&) noexcept = default; }; - - - - - /** * @brief Quadrature traits for the Treutler-Ahlrichs quadrature * @@ -61,15 +53,12 @@ class TreutlerAhlrichs : */ template -struct quadrature_traits< - TreutlerAhlrichs -> { - - using point_type = PointType; +struct quadrature_traits> { + using point_type = PointType; using weight_type = WeightType; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; + using point_container = std::vector; + using weight_container = std::vector; /** * @brief Generator for the Treutler-Ahlrichs quadrature @@ -81,15 +70,13 @@ struct quadrature_traits< * * @returns Tuple of quadrature points and weights */ - inline static std::tuple - generate( size_t npts, weight_type R, weight_type alpha ) { - - + inline static std::tuple generate( + size_t npts, weight_type R, weight_type alpha) { const point_type ln_2 = std::log(2.); const point_type pi_ov_npts_p1 = M_PI / (npts + 1); - point_container points( npts ); - weight_container weights( npts ); + point_container points(npts); + weight_container weights(npts); /* * Treutler-Ahlrichs quadrature @@ -103,24 +90,20 @@ struct quadrature_traits< * DOI: https://doi.org/10.1002/jcc.10211 * */ - for( size_t i = 0; i < npts; ++i ) { - const auto xi = std::cos( (i+1) * pi_ov_npts_p1 ); + for(size_t i = 0; i < npts; ++i) { + const auto xi = std::cos((i + 1) * pi_ov_npts_p1); - const auto pow_term = std::pow( 1. + xi, alpha ) / ln_2; - const auto log_term = std::log( (1. - xi)/2. ); - const auto sqrt_term = std::sqrt( (1.+xi)/(1.-xi) ); + const auto pow_term = std::pow(1. + xi, alpha) / ln_2; + const auto log_term = std::log((1. - xi) / 2.); + const auto sqrt_term = std::sqrt((1. + xi) / (1. - xi)); - points[i] = -R * pow_term * log_term; + points[i] = -R * pow_term * log_term; weights[i] = R * pi_ov_npts_p1 * pow_term * - ( sqrt_term - alpha * log_term / sqrt_term ); + (sqrt_term - alpha * log_term / sqrt_term); } - - - return std::make_tuple( points, weights ); - + return std::make_tuple(points, weights); } - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/quadratures/uniform.hpp b/include/integratorxx/quadratures/uniform.hpp index e173fe2..3d49c35 100644 --- a/include/integratorxx/quadratures/uniform.hpp +++ b/include/integratorxx/quadratures/uniform.hpp @@ -4,62 +4,46 @@ namespace IntegratorXX { - template -class UniformTrapezoid : - public Quadrature> { - - using base_type = Quadrature>; - -public: - - using point_type = typename base_type::point_type; - using weight_type = typename base_type::weight_type; - using point_container = typename base_type::point_container; +class UniformTrapezoid + : public Quadrature> { + using base_type = Quadrature>; + + public: + using point_type = typename base_type::point_type; + using weight_type = typename base_type::weight_type; + using point_container = typename base_type::point_container; using weight_container = typename base_type::weight_container; - - UniformTrapezoid(size_t npts, point_type lo, point_type up): - base_type( npts, lo, up ) { } - - UniformTrapezoid( const UniformTrapezoid& ) = default; - UniformTrapezoid( UniformTrapezoid&& ) noexcept = default; -}; - - - - + UniformTrapezoid(size_t npts, point_type lo, point_type up) + : base_type(npts, lo, up) {} + UniformTrapezoid(const UniformTrapezoid&) = default; + UniformTrapezoid(UniformTrapezoid&&) noexcept = default; +}; template -struct quadrature_traits< - UniformTrapezoid -> { - - using point_type = PointType; +struct quadrature_traits> { + using point_type = PointType; using weight_type = WeightType; - using point_container = std::vector< point_type >; - using weight_container = std::vector< weight_type >; - - inline static std::tuple - generate( size_t npts, point_type lo, point_type up ) { + using point_container = std::vector; + using weight_container = std::vector; + inline static std::tuple generate( + size_t npts, point_type lo, point_type up) { const auto npts_use = npts - 1; - const auto delta_x = (up - lo) / npts_use; - point_container points( npts ); - weight_container weights( npts, delta_x ); + const auto delta_x = (up - lo) / npts_use; + point_container points(npts); + weight_container weights(npts, delta_x); - for( size_t i = 0; i <= npts_use; ++i ) - points[i] = lo + i * delta_x; - - weights.front() *= 0.5; - weights.back() *= 0.5; + for(size_t i = 0; i <= npts_use; ++i) points[i] = lo + i * delta_x; - return std::make_tuple( points, weights ); + weights.front() *= 0.5; + weights.back() *= 0.5; + return std::make_tuple(points, weights); } - }; -} +} // namespace IntegratorXX diff --git a/include/integratorxx/type_traits.hpp b/include/integratorxx/type_traits.hpp index a1b5148..781d8bb 100644 --- a/include/integratorxx/type_traits.hpp +++ b/include/integratorxx/type_traits.hpp @@ -1,8 +1,9 @@ #pragma once -#include "types.hpp" #include +#include "types.hpp" + namespace IntegratorXX::detail { template @@ -18,34 +19,25 @@ struct real> { template using real_t = typename real::type; - - - - - template struct is_cartesian_quadrature { - static constexpr bool value = - std::is_same< - typename QuadratureType::point_type, - cartesian_pt_t< real_t > - >::value; + static constexpr bool value = std::is_same< + typename QuadratureType::point_type, + cartesian_pt_t>>::value; }; template inline constexpr bool is_cartesian_quadrature_v = - is_cartesian_quadrature::value; - - - + is_cartesian_quadrature::value; template -using all_are_not = std::conjunction< std::negation>... >; +using all_are_not = std::conjunction>...>; template -using enable_if_all_are_not = std::enable_if< all_are_not::value >; +using enable_if_all_are_not = std::enable_if::value>; template -using enable_if_all_are_not_t = typename enable_if_all_are_not::type; +using enable_if_all_are_not_t = + typename enable_if_all_are_not::type; -} +} // namespace IntegratorXX::detail diff --git a/include/integratorxx/types.hpp b/include/integratorxx/types.hpp index 7c05ef3..89095df 100644 --- a/include/integratorxx/types.hpp +++ b/include/integratorxx/types.hpp @@ -2,24 +2,12 @@ #include #include - + #include "quadrature.hpp" - namespace IntegratorXX { -template < typename T > +template using cartesian_pt_t = std::array; -//template < -// typename T, -// template class Container = std::vector, -// typename... Args -//> -//using CartesianQuadrature = -// QuadratureBase< -// Container< cartesian_pt_t, Args... >, -// Container< T, Args...> -// >; - -} +} // namespace IntegratorXX diff --git a/include/integratorxx/util/bound_transform.hpp b/include/integratorxx/util/bound_transform.hpp index 6b28132..b2a1874 100644 --- a/include/integratorxx/util/bound_transform.hpp +++ b/include/integratorxx/util/bound_transform.hpp @@ -5,20 +5,17 @@ namespace IntegratorXX { template -constexpr inline auto transform_minus_one_to_one( - const PointType lo, const PointType up, PointType pt, WeightType wgt -) { - - assert( lo < up ); +constexpr inline auto transform_minus_one_to_one(const PointType lo, + const PointType up, + PointType pt, WeightType wgt) { + assert(lo < up); constexpr auto inf = std::numeric_limits::infinity(); - const bool up_is_inf = up == inf; + const bool up_is_inf = up == inf; const bool lo_is_minf = lo == -inf; - // Both upper and lower bounds are finite: Map (-1,1) -> (lo,up) - if( not up_is_inf and not lo_is_minf ) { - + if(not up_is_inf and not lo_is_minf) { // Factor jacobian into the weights // dx' = ((b-a)/2) * dx wgt *= (up - lo) / 2.; @@ -27,45 +24,38 @@ constexpr inline auto transform_minus_one_to_one( // x' = ((b-a) / 2)*x + (a+b)/2 pt = (up - lo) * pt / 2. + (up + lo) / 2.; - // Lower bound is finite, upper is infinite: Map (-1,1) -> (lo,inf) - } else if( not lo_is_minf ) { - + // Lower bound is finite, upper is infinite: Map (-1,1) -> (lo,inf) + } else if(not lo_is_minf) { // Factor jacobian into the weights // dx' = \frac{2}{(1-x)^2} dx - wgt *= 2.0 / ( (1 - pt) * (1 - pt) ); + wgt *= 2.0 / ((1 - pt) * (1 - pt)); // Perform the coordinate shift // x' = a + \frac{(1+x)}{(1-x)} - pt = lo + (1 + pt) / (1 - pt); - - // Upper bound is finite, low is infinite: Map (-1,1) -> (inf,up) - } else if( not up_is_inf ) { + pt = lo + (1 + pt) / (1 - pt); + // Upper bound is finite, low is infinite: Map (-1,1) -> (inf,up) + } else if(not up_is_inf) { // Factor jacobian into the weights // dx' = - \frac{2}{(1+x)^2} dx - wgt *= -2.0 / ( (1 + pt) * (1 + pt) ); + wgt *= -2.0 / ((1 + pt) * (1 + pt)); // Perform the coordinate shift // x' = b - \frac{(1-x)}{(1+x)} - pt = up - (1 - pt) / (1 + pt); + pt = up - (1 - pt) / (1 + pt); - // Both infinite: Map (-1,1) -> (-inf,inf) + // Both infinite: Map (-1,1) -> (-inf,inf) } else { - // Factor jacobian into the weights // dx' = \frac{1+x^2}{(x^2 - 1)^2} dx - wgt *= (1 + pt*pt) / ((pt*pt - 1)*(pt*pt - 1)); + wgt *= (1 + pt * pt) / ((pt * pt - 1) * (pt * pt - 1)); // Perform the coordinate shift // x' = x / (1+x) / (1-x) pt = pt / (1 + pt) / (1 - pt); - } - - return std::tuple( pt, wgt ); -} - - + return std::tuple(pt, wgt); } +} // namespace IntegratorXX diff --git a/test/1d_quadratures.cxx b/test/1d_quadratures.cxx index 310ffbe..5b2a6e4 100644 --- a/test/1d_quadratures.cxx +++ b/test/1d_quadratures.cxx @@ -1,47 +1,46 @@ -#include "catch2/catch_all.hpp" -#include -#include -#include -#include -#include +#include +#include #include #include #include #include -#include -#include +#include +#include +#include +#include +#include +#include "catch2/catch_all.hpp" // NR template -std::enable_if_t< std::is_arithmetic_v, T> -assoc_legendre( const IntT l, const IntT m, const T x ) { - - if( m < 0 or m > l or std::abs(x) > 1. ) +std::enable_if_t, T> assoc_legendre(const IntT l, + const IntT m, + const T x) { + if(m < 0 or m > l or std::abs(x) > 1.) throw std::runtime_error("Bad args to assoc_legendre"); T pmm = 1.; - if( m > 0 ) { - - const T somx2 = std::sqrt( (1. - x)*(1. + x) ); + if(m > 0) { + const T somx2 = std::sqrt((1. - x) * (1. + x)); T fact = 1.; - for( IntT i = 0; i < m; ++i ) { - pmm *= fact*somx2; - fact += 2.; + for(IntT i = 0; i < m; ++i) { + pmm *= fact * somx2; + fact += 2.; } - } - if( l == m ) return pmm; + if(l == m) + return pmm; else { - T pmmp1 = x * (2*m + 1) * pmm; + T pmmp1 = x * (2 * m + 1) * pmm; - if( l == (m+1) ) return pmmp1; + if(l == (m + 1)) + return pmmp1; else { - T pll; - for( IntT ll = m+1; ll < l; ++ll ) { - pll = (x*(2*ll+1)*pmmp1-(ll+m)*pmm)/(ll-m+1); + for(IntT ll = m + 1; ll < l; ++ll) { + pll = (x * (2 * ll + 1) * pmmp1 - (ll + m) * pmm) / (ll - m + 1); pmm = pmmp1; pmmp1 = pll; } @@ -49,206 +48,175 @@ assoc_legendre( const IntT l, const IntT m, const T x ) { return pll; } } - } - using namespace IntegratorXX; inline constexpr double inf = std::numeric_limits::infinity(); template -constexpr T gaussian( T alpha, T c, T x ) { - return std::exp( -alpha * (x-c) * (x-c) ); +constexpr T gaussian(T alpha, T c, T x) { + return std::exp(-alpha * (x - c) * (x - c)); } template -constexpr T gaussian( T x ) { - return gaussian( 1., 0., x ); +constexpr T gaussian(T x) { + return gaussian(1., 0., x); } template -constexpr T ref_gaussian_int( T alpha, T c, T a, T b ) { - - const auto low = (a == inf) ? T(-1.) : std::erf( std::sqrt(alpha) * (c - a) ); - const auto hgh = (b == inf) ? T(-1.) : std::erf( std::sqrt(alpha) * (c - b) ); +constexpr T ref_gaussian_int(T alpha, T c, T a, T b) { + const auto low = (a == inf) ? T(-1.) : std::erf(std::sqrt(alpha) * (c - a)); + const auto hgh = (b == inf) ? T(-1.) : std::erf(std::sqrt(alpha) * (c - b)); - return 0.5 * std::sqrt( M_PI / alpha ) * (low - hgh); + return 0.5 * std::sqrt(M_PI / alpha) * (low - hgh); } template -constexpr T ref_gaussian_int( T a, T b ) { - - return ref_gaussian_int( 1., 0., a, b ); - +constexpr T ref_gaussian_int(T a, T b) { + return ref_gaussian_int(1., 0., a, b); } - constexpr size_t factorial(size_t n) { return (n == 1 || n == 0) ? 1 : factorial(n - 1) * n; } - template -constexpr std::complex spherical_harmonics( int64_t l, int64_t m, T theta, T phi ) { - - - auto prefactor = std::sqrt( (2.*l + 1) / (4.*M_PI) * T(factorial(l-m))/T(factorial(l+m)) ); - if( m < 0 ) - prefactor *= std::pow(-1,std::abs(m)) * T(factorial(l-m))/T(factorial(l+m)); - - - return prefactor * assoc_legendre( l, std::abs(m), std::cos(theta) ) * - std::complex( std::cos(m*phi), std::sin(m*phi) ); - +constexpr std::complex spherical_harmonics(int64_t l, int64_t m, T theta, + T phi) { + auto prefactor = std::sqrt((2. * l + 1) / (4. * M_PI) * T(factorial(l - m)) / + T(factorial(l + m))); + if(m < 0) + prefactor *= + std::pow(-1, std::abs(m)) * T(factorial(l - m)) / T(factorial(l + m)); + + return prefactor * assoc_legendre(l, std::abs(m), std::cos(theta)) * + std::complex(std::cos(m * phi), std::sin(m * phi)); } template -constexpr std::complex spherical_harmonics( int64_t l, int64_t m, T x, T y, T z ) { - - const auto r = std::sqrt( x*x + y*y + z*z ); - - return spherical_harmonics( l, m, std::acos( z / r ), std::atan2( y, x ) ); +constexpr std::complex spherical_harmonics(int64_t l, int64_t m, T x, T y, + T z) { + const auto r = std::sqrt(x * x + y * y + z * z); + return spherical_harmonics(l, m, std::acos(z / r), std::atan2(y, x)); } - template -constexpr T real_spherical_harmonics( int64_t l, int64_t m, Args&&... args ) { - +constexpr T real_spherical_harmonics(int64_t l, int64_t m, Args&&... args) { const T phase = std::sqrt(2.) * ((m % 2) ? 1. : -1.); - if( m == 0 ) - return std::real(spherical_harmonics( l, m, std::forward(args)... )); - else if( m < 0 ) - return phase * std::imag(spherical_harmonics( l, std::abs(m), std::forward(args)... )); + if(m == 0) + return std::real(spherical_harmonics(l, m, std::forward(args)...)); + else if(m < 0) + return phase * std::imag(spherical_harmonics(l, std::abs(m), + std::forward(args)...)); else - return phase * std::real(spherical_harmonics( l, m, std::forward(args)... )); - + return phase * + std::real(spherical_harmonics(l, m, std::forward(args)...)); } - -TEST_CASE( "Gauss-Legendre Quadratures", "[1d-quad]" ) { - +TEST_CASE("Gauss-Legendre Quadratures", "[1d-quad]") { constexpr unsigned order = 10; - SECTION( "untransformed bounds" ) { - IntegratorXX::GaussLegendre quad( order, -1, 1 ); + SECTION("untransformed bounds") { + IntegratorXX::GaussLegendre quad(order, -1, 1); const auto& pts = quad.points(); const auto& wgt = quad.weights(); - auto f = [=]( double x ){ return gaussian(x); }; + auto f = [=](double x) { return gaussian(x); }; double res = 0.; - for( auto i = 0; i < quad.npts(); ++i ) - res += wgt[i] * f(pts[i]); + for(auto i = 0; i < quad.npts(); ++i) res += wgt[i] * f(pts[i]); - CHECK( res == Catch::Approx(ref_gaussian_int(-1.,1.)) ); + CHECK(res == Catch::Approx(ref_gaussian_int(-1., 1.))); } - - SECTION( "transformed bounds" ) { + SECTION("transformed bounds") { const double lo = 0.; const double up = 4.; - IntegratorXX::GaussLegendre quad( 100, lo, up ); + IntegratorXX::GaussLegendre quad(100, lo, up); const auto& pts = quad.points(); const auto& wgt = quad.weights(); - auto f = [=]( double x ){ return gaussian(x); }; + auto f = [=](double x) { return gaussian(x); }; double res = 0.; - for( auto i = 0; i < quad.npts(); ++i ) - res += wgt[i] * f(pts[i]); + for(auto i = 0; i < quad.npts(); ++i) res += wgt[i] * f(pts[i]); - CHECK( res == Catch::Approx(ref_gaussian_int(lo,up)) ); + CHECK(res == Catch::Approx(ref_gaussian_int(lo, up))); } - } -TEST_CASE( "Euler-Maclaurin Quadratures", "[1d-quad]" ) { - - IntegratorXX::MurrayHandyLaming quad( 150 ); +TEST_CASE("Euler-Maclaurin Quadratures", "[1d-quad]") { + IntegratorXX::MurrayHandyLaming quad(150); const auto& pts = quad.points(); const auto& wgt = quad.weights(); - auto f = [=]( double x ){ return gaussian(x); }; + auto f = [=](double x) { return gaussian(x); }; double res = 0.; - for( auto i = 0; i < quad.npts(); ++i ) - res += wgt[i] * f(pts[i]); - - CHECK( res == Catch::Approx(ref_gaussian_int(0.,inf)) ); + for(auto i = 0; i < quad.npts(); ++i) res += wgt[i] * f(pts[i]); + CHECK(res == Catch::Approx(ref_gaussian_int(0., inf))); } -TEST_CASE( "Ahlrichs Quadratures", "[1d-quad]" ) { - - IntegratorXX::TreutlerAhlrichs quad( 150 ); +TEST_CASE("Ahlrichs Quadratures", "[1d-quad]") { + IntegratorXX::TreutlerAhlrichs quad(150); const auto& pts = quad.points(); const auto& wgt = quad.weights(); - auto f = [=]( double x ){ return gaussian(x); }; + auto f = [=](double x) { return gaussian(x); }; double res = 0.; - for( auto i = 0; i < quad.npts(); ++i ) { - //std::cout << wgt[i] << ", " << pts[i] << std::endl; + for(auto i = 0; i < quad.npts(); ++i) { + // std::cout << wgt[i] << ", " << pts[i] << std::endl; res += wgt[i] * f(pts[i]); } - CHECK( res == Catch::Approx(ref_gaussian_int(0.,inf)) ); - + CHECK(res == Catch::Approx(ref_gaussian_int(0., inf))); } -TEST_CASE( "Knowles Quadratures", "[1d-quad]" ) { - - IntegratorXX::MuraKnowles quad( 150 ); +TEST_CASE("Knowles Quadratures", "[1d-quad]") { + IntegratorXX::MuraKnowles quad(150); const auto& pts = quad.points(); const auto& wgt = quad.weights(); - auto f = [=]( double x ){ return gaussian(x); }; + auto f = [=](double x) { return gaussian(x); }; double res = 0.; - for( auto i = 0; i < quad.npts(); ++i ) - res += wgt[i] * f(pts[i]); - - CHECK( res == Catch::Approx(ref_gaussian_int(0.,inf)) ); + for(auto i = 0; i < quad.npts(); ++i) res += wgt[i] * f(pts[i]); + CHECK(res == Catch::Approx(ref_gaussian_int(0., inf))); } -TEST_CASE( "Lebedev-Laikov", "[1d-quad]" ) { +TEST_CASE("Lebedev-Laikov", "[1d-quad]") { + auto test_fn = [&](size_t nPts) { + IntegratorXX::LebedevLaikov quad(nPts); - - auto test_fn = [&]( size_t nPts ) { - - IntegratorXX::LebedevLaikov quad( nPts ); - const auto& pts = quad.points(); const auto& wgt = quad.weights(); - - for( auto l = 1; l < 10; ++l ) - for( auto m = 0; m <= l; ++m ) { - - auto f = [=]( decltype(pts[0]) x ){ - return spherical_harmonics(l,m,x[0],x[1],x[2]); - }; - - std::complex res = 0.; - for( auto i = 0; i < quad.npts(); ++i ) - res += wgt[i] * f(pts[i])* std::conj(f(pts[i])); - - CHECK( 4.*M_PI*std::real(res) == Catch::Approx(1.) ); - - } + for(auto l = 1; l < 10; ++l) + for(auto m = 0; m <= l; ++m) { + auto f = [=](decltype(pts[0]) x) { + return spherical_harmonics(l, m, x[0], x[1], x[2]); + }; + + std::complex res = 0.; + for(auto i = 0; i < quad.npts(); ++i) + res += wgt[i] * f(pts[i]) * std::conj(f(pts[i])); + + CHECK(4. * M_PI * std::real(res) == Catch::Approx(1.)); + } }; test_fn(302); test_fn(770); test_fn(974); - } diff --git a/test/cmake/discovery/integratorxx_link_tester.cxx b/test/cmake/discovery/integratorxx_link_tester.cxx index 488a457..7dbab89 100644 --- a/test/cmake/discovery/integratorxx_link_tester.cxx +++ b/test/cmake/discovery/integratorxx_link_tester.cxx @@ -1,4 +1,2 @@ #include -int main() { - return 0; -} +int main() { return 0; } diff --git a/test/cmake/subproject/integratorxx_link_tester.cxx b/test/cmake/subproject/integratorxx_link_tester.cxx index 488a457..7dbab89 100644 --- a/test/cmake/subproject/integratorxx_link_tester.cxx +++ b/test/cmake/subproject/integratorxx_link_tester.cxx @@ -1,4 +1,2 @@ #include -int main() { - return 0; -} +int main() { return 0; } diff --git a/test/composite_quadratures.cxx b/test/composite_quadratures.cxx index 11d632d..43399ac 100644 --- a/test/composite_quadratures.cxx +++ b/test/composite_quadratures.cxx @@ -1,75 +1,71 @@ -#include "catch2/catch_all.hpp" - -#include -#include -#include -#include #include +#include +#include +#include +#include -//#include -//#include +#include "catch2/catch_all.hpp" -TEST_CASE( "Spherical Quadratures", "[sph-quad]" ) { +// #include +// #include +TEST_CASE("Spherical Quadratures", "[sph-quad]") { size_t nrad = 150; size_t nang = 770; SECTION("Correctness") { - IntegratorXX::MuraKnowles r(nrad); + IntegratorXX::MuraKnowles r(nrad); IntegratorXX::LebedevLaikov q(nang); - IntegratorXX::SphericalQuadrature s( r, q ); + IntegratorXX::SphericalQuadrature s(r, q); size_t npts = s.npts(); - REQUIRE( npts == nrad * nang ); + REQUIRE(npts == nrad * nang); double res = 0; - for( auto i = 0; i < npts; ++i ) { + for(auto i = 0; i < npts; ++i) { const auto p = s.points()[i]; - const auto rsq = p[0]*p[0] + p[1]*p[1] + p[2]*p[2]; + const auto rsq = p[0] * p[0] + p[1] * p[1] + p[2] * p[2]; res += s.weights()[i] * std::exp(-rsq); } - CHECK( res == Catch::Approx( M_PI * std::sqrt(M_PI) ) ); + CHECK(res == Catch::Approx(M_PI * std::sqrt(M_PI))); } - SECTION("Centering") { + std::array cen = {0., 1., 0.}; + std::array org = {0., 0., 0.}; - std::array cen = {0., 1., 0.}; - std::array org = {0., 0., 0.}; + IntegratorXX::LebedevLaikov ang(nang); + IntegratorXX::MuraKnowles rad(nrad); - IntegratorXX::LebedevLaikov ang( nang ); - IntegratorXX::MuraKnowles rad( nrad ); - - IntegratorXX::SphericalQuadrature s_origin( rad, ang ); + IntegratorXX::SphericalQuadrature s_origin(rad, ang); IntegratorXX::SphericalQuadrature s_cen(rad, ang, cen); - IntegratorXX::SphericalQuadrature so_cpy( s_origin ); - IntegratorXX::SphericalQuadrature sc_cpy( s_cen ); + IntegratorXX::SphericalQuadrature so_cpy(s_origin); + IntegratorXX::SphericalQuadrature sc_cpy(s_cen); // Center on construction - CHECK( s_origin.center() == org ); - CHECK( s_cen.center() == cen ); + CHECK(s_origin.center() == org); + CHECK(s_cen.center() == cen); auto npts = s_origin.npts(); - CHECK( s_cen.npts() == npts ); + CHECK(s_cen.npts() == npts); for(size_t i = 0; i < npts; ++i) { auto po = s_origin.points()[i]; auto pc = s_cen.points()[i]; - CHECK( pc[0] == Catch::Approx( po[0] + cen[0] ) ); - CHECK( pc[1] == Catch::Approx( po[1] + cen[1] ) ); - CHECK( pc[2] == Catch::Approx( po[2] + cen[2] ) ); + CHECK(pc[0] == Catch::Approx(po[0] + cen[0])); + CHECK(pc[1] == Catch::Approx(po[1] + cen[1])); + CHECK(pc[2] == Catch::Approx(po[2] + cen[2])); } + // Single recenter + s_origin.recenter(cen); + s_cen.recenter(org); - // Single recenter - s_origin.recenter( cen ); - s_cen.recenter( org ); - - CHECK( s_origin.center() == cen ); - CHECK( s_cen.center() == org ); + CHECK(s_origin.center() == cen); + CHECK(s_cen.center() == org); for(size_t i = 0; i < npts; ++i) { auto po = s_origin.points()[i]; @@ -78,18 +74,17 @@ TEST_CASE( "Spherical Quadratures", "[sph-quad]" ) { auto pc_ref = sc_cpy.points()[i]; for(int x = 0; x < 3; ++x) { - CHECK( po[x] == Catch::Approx(pc_ref[x]) ); - CHECK( pc[x] == Catch::Approx(po_ref[x]) ); + CHECK(po[x] == Catch::Approx(pc_ref[x])); + CHECK(pc[x] == Catch::Approx(po_ref[x])); } - } - + // Multiple recenter - s_origin.recenter( org ); - s_cen.recenter( cen ); + s_origin.recenter(org); + s_cen.recenter(cen); - CHECK( s_origin.center() == org ); - CHECK( s_cen.center() == cen ); + CHECK(s_origin.center() == org); + CHECK(s_cen.center() == cen); for(size_t i = 0; i < npts; ++i) { auto po = s_origin.points()[i]; @@ -98,192 +93,162 @@ TEST_CASE( "Spherical Quadratures", "[sph-quad]" ) { auto pc_ref = sc_cpy.points()[i]; for(int x = 0; x < 3; ++x) { - CHECK( po[x] == Catch::Approx(po_ref[x]) ); - CHECK( pc[x] == Catch::Approx(pc_ref[x]) ); + CHECK(po[x] == Catch::Approx(po_ref[x])); + CHECK(pc[x] == Catch::Approx(pc_ref[x])); } } - - } SECTION("Batching") { - size_t max_batch_sz = 512; - IntegratorXX::MuraKnowles r(nrad); + IntegratorXX::MuraKnowles r(nrad); IntegratorXX::LebedevLaikov q(nang); - IntegratorXX::SphericalQuadrature s( r, q ); + IntegratorXX::SphericalQuadrature s(r, q); size_t npts = s.npts(); - //IntegratorXX::SphericalMicroBatcher batcher = - // make_batcher( max_batch_sz, s ); + // IntegratorXX::SphericalMicroBatcher batcher = + // make_batcher( max_batch_sz, s ); - IntegratorXX::SphericalMicroBatcher batcher = - make_batcher( max_batch_sz, s ); - - size_t npts_c = 0; - for( auto&& [box_lo, box_up, points_b, weights_b] : batcher ) { + IntegratorXX::SphericalMicroBatcher batcher = make_batcher(max_batch_sz, s); + size_t npts_c = 0; + for(auto&& [box_lo, box_up, points_b, weights_b] : batcher) { auto npts_b = points_b.size(); - CHECK( npts_b != 0 ); + CHECK(npts_b != 0); npts_c += npts_b; - } npts_c = 0; - for( size_t i = 0; i < batcher.nbatches(); ++i ) { - + for(size_t i = 0; i < batcher.nbatches(); ++i) { auto&& [box_lo, box_up, points_b, weights_b] = batcher.at(i); auto npts_b = points_b.size(); - CHECK( npts_b != 0 ); + CHECK(npts_b != 0); npts_c += npts_b; - } - CHECK( npts_c == npts ); + CHECK(npts_c == npts); const auto& cbatcher = batcher; npts_c = 0; - for( size_t i = 0; i < cbatcher.nbatches(); ++i ) { - + for(size_t i = 0; i < cbatcher.nbatches(); ++i) { auto&& [box_lo, box_up, points_b, weights_b] = cbatcher.at(i); auto npts_b = points_b.size(); - CHECK( npts_b != 0 ); + CHECK(npts_b != 0); npts_c += npts_b; - } - CHECK( npts_c == npts ); + CHECK(npts_c == npts); auto batcher_clone = batcher.clone(); - CHECK( &batcher.quadrature() != &batcher_clone.quadrature() ); - CHECK( batcher.npts() == batcher_clone.npts() ); - CHECK( batcher.nbatches() == batcher_clone.nbatches() ); - - CHECK( batcher.points() == batcher_clone.points() ); - CHECK( batcher.weights() == batcher_clone.weights() ); - - batcher.quadrature().recenter({0.,0.,0.}); // just check if this compiles.... - } - -} - + CHECK(&batcher.quadrature() != &batcher_clone.quadrature()); + CHECK(batcher.npts() == batcher_clone.npts()); + CHECK(batcher.nbatches() == batcher_clone.nbatches()); + CHECK(batcher.points() == batcher_clone.points()); + CHECK(batcher.weights() == batcher_clone.weights()); -TEST_CASE( "Pruned Spherical Quadratures", "[sph-quad]" ) { + batcher.quadrature().recenter( + {0., 0., 0.}); // just check if this compiles.... + } +} - +TEST_CASE("Pruned Spherical Quadratures", "[sph-quad]") { SECTION("Consistency With Spherical Quadrature") { size_t nrad = 4; size_t nang = 6; - IntegratorXX::MuraKnowles r(nrad); + IntegratorXX::MuraKnowles r(nrad); IntegratorXX::LebedevLaikov q(nang); IntegratorXX::RadialGridPartition rgp; SECTION("Single Radial Partition") { - rgp = IntegratorXX::RadialGridPartition( r, 0, q ); + rgp = IntegratorXX::RadialGridPartition(r, 0, q); } SECTION("Multiple Radial Partition") { - rgp = IntegratorXX::RadialGridPartition( r, 0, q, r.npts()/2, q ); + rgp = IntegratorXX::RadialGridPartition(r, 0, q, r.npts() / 2, q); } - IntegratorXX::SphericalQuadrature s( r, q ); - IntegratorXX::PrunedSphericalQuadrature ps( r, rgp ); - REQUIRE( s.npts() == ps.npts() ); + IntegratorXX::SphericalQuadrature s(r, q); + IntegratorXX::PrunedSphericalQuadrature ps(r, rgp); + REQUIRE(s.npts() == ps.npts()); // Impose lexiographical ordering for check // b/c pruning doesn't have radial points as globally fastest running - std::vector idx_s( s.npts() ), idx_ps( ps.npts() ); - std::iota( idx_s.begin(), idx_s.end(), 0 ); - std::iota( idx_ps.begin(), idx_ps.end(), 0 ); + std::vector idx_s(s.npts()), idx_ps(ps.npts()); + std::iota(idx_s.begin(), idx_s.end(), 0); + std::iota(idx_ps.begin(), idx_ps.end(), 0); auto comparator_pt = [](const auto& _q, auto i, auto j) { return _q.points()[i] < _q.points()[j]; }; - auto comparator_s = [&](auto i, auto j) { - return comparator_pt(s,i,j); - }; + auto comparator_s = [&](auto i, auto j) { return comparator_pt(s, i, j); }; auto comparator_ps = [&](auto i, auto j) { - return comparator_pt(ps,i,j); + return comparator_pt(ps, i, j); }; - std::sort( idx_s.begin(), idx_s.end(), comparator_s ); - std::sort( idx_ps.begin(), idx_ps.end(), comparator_ps ); + std::sort(idx_s.begin(), idx_s.end(), comparator_s); + std::sort(idx_ps.begin(), idx_ps.end(), comparator_ps); - for( int i = 0; i < s.npts(); ++i ) { - CHECK( s.points()[idx_s[i]] == ps.points()[idx_ps[i]] ); - CHECK( s.weights()[idx_s[i]] == ps.weights()[idx_ps[i]] ); + for(int i = 0; i < s.npts(); ++i) { + CHECK(s.points()[idx_s[i]] == ps.points()[idx_ps[i]]); + CHECK(s.weights()[idx_s[i]] == ps.weights()[idx_ps[i]]); } - } - SECTION("Validity") { - size_t nrad = 12; - IntegratorXX::MuraKnowles r(nrad); - IntegratorXX::LebedevLaikov - q_6(6), q_14(14), q_302(302), q_770(770); + IntegratorXX::MuraKnowles r(nrad); + IntegratorXX::LebedevLaikov q_6(6), q_14(14), q_302(302), + q_770(770); - IntegratorXX::RadialGridPartition - rgp( r, 0ul, q_6, 4ul, q_302, 6ul, q_14, 9ul, q_770 ); - IntegratorXX::PrunedSphericalQuadrature ps( r, rgp ); + IntegratorXX::RadialGridPartition rgp(r, 0ul, q_6, 4ul, q_302, 6ul, q_14, + 9ul, q_770); + IntegratorXX::PrunedSphericalQuadrature ps(r, rgp); size_t npts = 0; - for( const auto& [r_range, q] : rgp ) { - auto [r1,r2] = r_range; - for( auto j = 0; j < q.npts(); ++j ) - for( auto i = r1; i < r2; ++i ) { - auto pt = ps.points()[npts]; - CHECK( pt[0] == r.points()[i] * q.points()[j][0] ); - CHECK( pt[1] == r.points()[i] * q.points()[j][1] ); - CHECK( pt[2] == r.points()[i] * q.points()[j][2] ); - - const auto _r = r.points()[i]; - const auto _rw = r.weights()[i]; - const auto _aw = q.weights()[j]; - CHECK( ps.weights()[npts] == Catch::Approx( 4 * M_PI * _r * _r * _rw * _aw ) ); - npts++; - } + for(const auto& [r_range, q] : rgp) { + auto [r1, r2] = r_range; + for(auto j = 0; j < q.npts(); ++j) + for(auto i = r1; i < r2; ++i) { + auto pt = ps.points()[npts]; + CHECK(pt[0] == r.points()[i] * q.points()[j][0]); + CHECK(pt[1] == r.points()[i] * q.points()[j][1]); + CHECK(pt[2] == r.points()[i] * q.points()[j][2]); + + const auto _r = r.points()[i]; + const auto _rw = r.weights()[i]; + const auto _aw = q.weights()[j]; + CHECK(ps.weights()[npts] == + Catch::Approx(4 * M_PI * _r * _r * _rw * _aw)); + npts++; + } } - CHECK( npts == ps.npts() ); - + CHECK(npts == ps.npts()); } SECTION("With Batcher") { - IntegratorXX::MuraKnowles r(4); - IntegratorXX::LebedevLaikov q(302); - IntegratorXX::RadialGridPartition rgp( r, 0ul, q ); + IntegratorXX::MuraKnowles r(4); + IntegratorXX::LebedevLaikov q(302); + IntegratorXX::RadialGridPartition rgp(r, 0ul, q); - IntegratorXX::SphericalQuadrature s(r,q); - IntegratorXX::PrunedSphericalQuadrature ps(r,rgp); + IntegratorXX::SphericalQuadrature s(r, q); + IntegratorXX::PrunedSphericalQuadrature ps(r, rgp); - IntegratorXX::SphericalMicroBatcher batcher_s = - make_batcher( 1, s ); - IntegratorXX::SphericalMicroBatcher batcher_ps = - make_batcher( 1, ps ); + IntegratorXX::SphericalMicroBatcher batcher_s = make_batcher(1, s); + IntegratorXX::SphericalMicroBatcher batcher_ps = make_batcher(1, ps); - REQUIRE( batcher_s.nbatches() == batcher_ps.nbatches() ); + REQUIRE(batcher_s.nbatches() == batcher_ps.nbatches()); - for( auto i = 0ul; i < batcher_s.nbatches(); ++ i ) { - auto [s_box_lo, s_box_up, s_points, s_weights ] = batcher_s.at(i); + for(auto i = 0ul; i < batcher_s.nbatches(); ++i) { + auto [s_box_lo, s_box_up, s_points, s_weights] = batcher_s.at(i); auto [ps_box_lo, ps_box_up, ps_points, ps_weights] = batcher_ps.at(i); - CHECK( s_box_lo == ps_box_lo ); - CHECK( s_box_up == ps_box_up ); - CHECK( s_points == ps_points ); - CHECK( s_weights == ps_weights ); + CHECK(s_box_lo == ps_box_lo); + CHECK(s_box_up == ps_box_up); + CHECK(s_points == ps_points); + CHECK(s_weights == ps_weights); } } - } - - - - - - - - diff --git a/test/quadrature_manipulation.cxx b/test/quadrature_manipulation.cxx index 7d9d364..87e0131 100644 --- a/test/quadrature_manipulation.cxx +++ b/test/quadrature_manipulation.cxx @@ -1,34 +1,31 @@ -#include "catch2/catch_all.hpp" #include -TEST_CASE( "Constructor", "[quad]" ) { +#include "catch2/catch_all.hpp" - using quad_type = IntegratorXX::GaussLegendre; +TEST_CASE("Constructor", "[quad]") { + using quad_type = IntegratorXX::GaussLegendre; using base_type = IntegratorXX::Quadrature; - SECTION("Basic") { - quad_type q( 10, -1, 1 ); - } + SECTION("Basic") { quad_type q(10, -1, 1); } SECTION("Copy To Base") { - quad_type q( 10, -1, 1 ); + quad_type q(10, -1, 1); base_type b(q); - CHECK( q.points() == b.points() ); - CHECK( q.weights() == b.weights() ); + CHECK(q.points() == b.points()); + CHECK(q.weights() == b.weights()); } SECTION("Move to Base") { - quad_type q( 10, -1, 1 ); + quad_type q(10, -1, 1); std::vector pts = q.points(); std::vector wgt = q.weights(); base_type b(std::move(q)); - CHECK( q.points().size() == 0 ); - CHECK( q.weights().size() == 0 ); - CHECK( b.points() == pts ); - CHECK( b.weights() == wgt ); + CHECK(q.points().size() == 0); + CHECK(q.weights().size() == 0); + CHECK(b.points() == pts); + CHECK(b.weights() == wgt); } - }