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165 changes: 66 additions & 99 deletions c/alt_bn128_test.cpp
Original file line number Diff line number Diff line change
@@ -1,16 +1,17 @@
#include <gmp.h>
#include <iostream>
#include <cstdint>
#include <cstring>

#include "gtest/gtest.h"
#include "alt_bn128.hpp"
#include "fft.hpp"
#include "../../../build/mp.hpp"

using namespace AltBn128;

namespace {

TEST(altBn128, f2_simpleMul) {

F2Element e1;
F2.fromString(e1, "(2,2)");

Expand All @@ -23,8 +24,6 @@ TEST(altBn128, f2_simpleMul) {
F2Element e33;
F2.fromString(e33, "(0,12)");

// std::cout << F2.toString(e3) << std::endl;

ASSERT_TRUE(F2.eq(e3, e33));
}

Expand Down Expand Up @@ -94,17 +93,13 @@ TEST(altBn128, f12_inv) {

TEST(altBn128, g1_PlusZero) {
G1Point p1;

G1.add(p1, G1.one(), G1.zero());

ASSERT_TRUE(G1.eq(p1, G1.one()));
}

TEST(altBn128, g1_minus_g1) {
G1Point p1;

G1.sub(p1, G1.one(), G1.one());

ASSERT_TRUE(G1.isZero(p1));
}

Expand All @@ -121,7 +116,6 @@ TEST(altBn128, g1_times_4) {
ASSERT_TRUE(G1.eq(p1,p2));
}


TEST(altBn128, g1_times_3) {
G1Point p1;
G1.add(p1, G1.one(), G1.one());
Expand All @@ -135,21 +129,18 @@ TEST(altBn128, g1_times_3) {
ASSERT_TRUE(G1.eq(p1,p2));
}

TEST(altBn128, g1_times_3_exp) {
TEST(altBn128, g1_times_3_exp) {
G1Point p1;
G1.add(p1, G1.one(), G1.one());
G1.add(p1, p1, G1.one());

mpz_t e;
mpz_init_set_str(e, "3", 10);

uint8_t scalar[32];
for (int i=0;i<32;i++) scalar[i] = 0;
mpz_export((void *)scalar, NULL, -1, 8, -1, 0, e);
mpz_clear(e);
mp_uint_t scalar;
mp_uint_t x;
mp_set(x, 3);
mp_copy(scalar, x);

G1Point p2;
G1.mulByScalar(p2, G1.one(), scalar, 32);
G1.mulByScalar(p2, G1.one(), (uint8_t*)scalar, MP_N);

ASSERT_TRUE(G1.eq(p1,p2));
}
Expand All @@ -174,8 +165,7 @@ TEST(altBn128, g1_times_5) {
ASSERT_TRUE(G1.eq(p1,p6));
}

TEST(altBn128, g1_times_65_exp) {

TEST(altBn128, g1_times_65_exp) {
G1Point p1;
G1.dbl(p1, G1.one());
G1.dbl(p1, p1);
Expand All @@ -185,89 +175,79 @@ TEST(altBn128, g1_times_65_exp) {
G1.dbl(p1, p1);
G1.add(p1, p1, G1.one());

mpz_t e;
mpz_init_set_str(e, "65", 10);

uint8_t scalar[32];
for (int i=0;i<32;i++) scalar[i] = 0;
mpz_export((void *)scalar, NULL, -1, 8, -1, 0, e);
mpz_clear(e);
mp_uint_t scalar;
mp_uint_t x;
mp_set(x, 65);
mp_copy(scalar, x);

G1Point p2;
G1.mulByScalar(p2, G1.one(), scalar, 32);
G1.mulByScalar(p2, G1.one(), (uint8_t*)scalar, MP_N);

ASSERT_TRUE(G1.eq(p1,p2));
}

TEST(altBn128, g1_expToOrder) {
mpz_t e;
mpz_init_set_str(e, "21888242871839275222246405745257275088548364400416034343698204186575808495617", 10);

uint8_t scalar[32];

for (int i=0;i<32;i++) scalar[i] = 0;
mpz_export((void *)scalar, NULL, -1, 8, -1, 0, e);
mpz_clear(e);
TEST(altBn128, g1_expToOrder) {
mp_uint_t scalar;
mp_uint_t x;
ASSERT_EQ(mp_set(x,
"21888242871839275222246405745257275088548364400416034343698204186575808495617",
10
), 0);
mp_copy(scalar, x);

G1Point p1;

G1.mulByScalar(p1, G1.one(), scalar, 32);
G1.mulByScalar(p1, G1.one(), (uint8_t *)scalar, MP_N);

ASSERT_TRUE(G1.isZero(p1));
}

TEST(altBn128, g2_expToOrder) {
mpz_t e;
mpz_init_set_str(e, "21888242871839275222246405745257275088548364400416034343698204186575808495617", 10);

uint8_t scalar[32];

for (int i=0;i<32;i++) scalar[i] = 0;
mpz_export((void *)scalar, NULL, -1, 8, -1, 0, e);
mpz_clear(e);
TEST(altBn128, g2_expToOrder) {
mp_uint_t scalar;
mp_uint_t x;
ASSERT_EQ(mp_set(x,
"21888242871839275222246405745257275088548364400416034343698204186575808495617",
10
), 0);
mp_copy(scalar, x);

Curve<F2Field<RawFq>>::Point p1;

G2.mulByScalar(p1, G2.one(), scalar, 32);
G2.mulByScalar(p1, G2.one(), (uint8_t *)scalar, MP_N);

ASSERT_TRUE(G2.isZero(p1));
}

TEST(altBn128, multiExp) {

int NMExp = 40000;

typedef uint8_t Scalar[32];
typedef mp_uint_t Scalar;

Scalar *scalars = new Scalar[NMExp];
G1PointAffine *bases = new G1PointAffine[NMExp];

uint64_t acc=0;
for (int i=0; i<NMExp; i++) {
if (i==0) {
uint64_t acc = 0;
for (int i = 0; i < NMExp; i++) {
if (i == 0) {
G1.copy(bases[0], G1.one());
} else {
G1.add(bases[i], bases[i-1], G1.one());
}
for (int j=0; j<32; j++) scalars[i][j] = 0;
*(int *)&scalars[i][0] = i+1;
acc += (i+1)*(i+1);

mp_uint_t x;
mp_set(x, (uint64_t)(i + 1));
mp_copy(scalars[i], x);
acc += (uint64_t)(i + 1) * (uint64_t)(i + 1);
}

G1Point p1;
G1.multiMulByScalar(p1, bases, (uint8_t *)scalars, 32, NMExp);

mpz_t e;
mpz_init_set_ui(e, acc);

Scalar sAcc;
G1.multiMulByScalar(p1, bases, (uint8_t *)scalars, MP_N, NMExp);

for (int i=0;i<32;i++) sAcc[i] = 0;
mpz_export((void *)sAcc, NULL, -1, 8, -1, 0, e);
mpz_clear(e);
mp_uint_t sAcc;
mp_uint_t x;
mp_set(x, acc);
mp_copy(sAcc, x);

G1Point p2;
G1.mulByScalar(p2, G1.one(), sAcc, 32);
G1.mulByScalar(p2, G1.one(), (uint8_t *)sAcc, MP_N);

ASSERT_TRUE(G1.eq(p1, p2));

Expand All @@ -276,40 +256,37 @@ TEST(altBn128, multiExp) {
}

TEST(altBn128, multiExpMSM) {

int NMExp = 40000;

typedef uint8_t Scalar[32];
typedef mp_uint_t Scalar;

Scalar *scalars = new Scalar[NMExp];
G1PointAffine *bases = new G1PointAffine[NMExp];

uint64_t acc=0;
for (int i=0; i<NMExp; i++) {
if (i==0) {
uint64_t acc = 0;
for (int i = 0; i < NMExp; i++) {
if (i == 0) {
G1.copy(bases[0], G1.one());
} else {
G1.add(bases[i], bases[i-1], G1.one());
}
for (int j=0; j<32; j++) scalars[i][j] = 0;
*(int *)&scalars[i][0] = i+1;
acc += (i+1)*(i+1);

mp_uint_t x;
mp_set(x, (uint64_t)(i + 1));
mp_copy(scalars[i], x);
acc += (uint64_t)(i + 1) * (uint64_t)(i + 1);
}

G1Point p1;
G1.multiMulByScalarMSM(p1, bases, (uint8_t *)scalars, 32, NMExp);

mpz_t e;
mpz_init_set_ui(e, acc);
G1.multiMulByScalarMSM(p1, bases, (uint8_t *)scalars, MP_N, NMExp);

Scalar sAcc;

for (int i=0;i<32;i++) sAcc[i] = 0;
mpz_export((void *)sAcc, NULL, -1, 8, -1, 0, e);
mpz_clear(e);
mp_uint_t sAcc;
mp_uint_t x;
mp_set(x, acc);
mp_copy(sAcc, x);

G1Point p2;
G1.mulByScalar(p2, G1.one(), sAcc, 32);
G1.mulByScalar(p2, G1.one(), (uint8_t *)sAcc, MP_N);

ASSERT_TRUE(G1.eq(p1, p2));

Expand All @@ -318,7 +295,6 @@ TEST(altBn128, multiExpMSM) {
}

TEST(altBn128, multiExp2) {

int NMExp = 2;

AltBn128::FrElement *scalars = new AltBn128::FrElement[NMExp];
Expand All @@ -341,19 +317,16 @@ TEST(altBn128, multiExp2) {
F1.fromString(ref.x, "9163953212624378696742080269971059027061360176019470242548968584908855004282");
F1.fromString(ref.y, "20922060990592511838374895951081914567856345629513259026540392951012456141360");

G1.multiMulByScalar(r, bases, (uint8_t *)scalars, 32, 2);
G1.multiMulByScalar(r, bases, (uint8_t *)scalars, MP_N, 2);
G1.copy(ra, r);

// std::cout << G1.toString(r, 10);

ASSERT_TRUE(G1.eq(ra, ref));

delete[] bases;
delete[] scalars;
}

TEST(altBn128, multiExp2MSM) {

int NMExp = 2;

AltBn128::FrElement *scalars = new AltBn128::FrElement[NMExp];
Expand All @@ -376,19 +349,16 @@ TEST(altBn128, multiExp2MSM) {
F1.fromString(ref.x, "9163953212624378696742080269971059027061360176019470242548968584908855004282");
F1.fromString(ref.y, "20922060990592511838374895951081914567856345629513259026540392951012456141360");

G1.multiMulByScalarMSM(r, bases, (uint8_t *)scalars, 32, 2);
G1.multiMulByScalarMSM(r, bases, (uint8_t *)scalars, MP_N, 2);
G1.copy(ra, r);

// std::cout << G1.toString(r, 10);

ASSERT_TRUE(G1.eq(ra, ref));

delete[] bases;
delete[] scalars;
}

TEST(altBn128, multiExp8MSM) {

int NMExp = 8;

AltBn128::FrElement *scalars = new AltBn128::FrElement[NMExp];
Expand Down Expand Up @@ -435,11 +405,9 @@ TEST(altBn128, multiExp8MSM) {
F1.fromString(ref.x, "17747920359253913546551417160303297937542312574889904290131615776238588901697");
F1.fromString(ref.y, "8815119438581789680513912776342567599606944899217792926373871775002956510503");

G1.multiMulByScalarMSM(r, bases, (uint8_t *)scalars, 32, NMExp);
G1.multiMulByScalarMSM(r, bases, (uint8_t *)scalars, MP_N, NMExp);
G1.copy(ra, r);

// std::cout << G1.toString(r, 10);

ASSERT_TRUE(G1.eq(ra, ref));

delete[] bases;
Expand Down Expand Up @@ -469,7 +437,6 @@ TEST(altBn128, fft) {
delete[] a;
}


} // namespace

int main(int argc, char **argv) {
Expand Down
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