blob: 263db503096ad9deda4e8df4db3795db8a6a7e9f [file] [log] [blame]
/* Copyright (c) 2016, Google Inc.
*
* Permission to use, copy, modify, and/or distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
* SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
* OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
#include <openssl/base.h>
#include <stdio.h>
#include <string.h>
#include <gtest/gtest.h>
#include <openssl/bn.h>
#include <openssl/ec.h>
#include <openssl/mem.h>
#include <openssl/nid.h>
#include "internal.h"
#include "../bn/internal.h"
#include "../../internal.h"
#include "../../test/abi_test.h"
#include "../../test/file_test.h"
#include "../../test/test_util.h"
#include "p256-nistz.h"
// Disable tests if BORINGSSL_SHARED_LIBRARY is defined. These tests need access
// to internal functions.
#if !defined(OPENSSL_NO_ASM) && \
(defined(OPENSSL_X86_64) || defined(OPENSSL_AARCH64)) && \
!defined(OPENSSL_SMALL) && !defined(BORINGSSL_SHARED_LIBRARY)
TEST(P256_NistzTest, SelectW5) {
// Fill a table with some garbage input.
alignas(64) P256_POINT table[16];
for (size_t i = 0; i < 16; i++) {
OPENSSL_memset(table[i].X, static_cast<uint8_t>(3 * i), sizeof(table[i].X));
OPENSSL_memset(table[i].Y, static_cast<uint8_t>(3 * i + 1),
sizeof(table[i].Y));
OPENSSL_memset(table[i].Z, static_cast<uint8_t>(3 * i + 2),
sizeof(table[i].Z));
}
for (int i = 0; i <= 16; i++) {
P256_POINT val;
ecp_nistz256_select_w5(&val, table, i);
P256_POINT expected;
if (i == 0) {
OPENSSL_memset(&expected, 0, sizeof(expected));
} else {
expected = table[i-1];
}
EXPECT_EQ(Bytes(reinterpret_cast<const char *>(&expected), sizeof(expected)),
Bytes(reinterpret_cast<const char *>(&val), sizeof(val)));
}
// This is a constant-time function, so it is only necessary to instrument one
// index for ABI checking.
P256_POINT val;
CHECK_ABI(ecp_nistz256_select_w5, &val, table, 7);
}
TEST(P256_NistzTest, SelectW7) {
// Fill a table with some garbage input.
alignas(64) P256_POINT_AFFINE table[64];
for (size_t i = 0; i < 64; i++) {
OPENSSL_memset(table[i].X, static_cast<uint8_t>(2 * i), sizeof(table[i].X));
OPENSSL_memset(table[i].Y, static_cast<uint8_t>(2 * i + 1),
sizeof(table[i].Y));
}
for (int i = 0; i <= 64; i++) {
P256_POINT_AFFINE val;
ecp_nistz256_select_w7(&val, table, i);
P256_POINT_AFFINE expected;
if (i == 0) {
OPENSSL_memset(&expected, 0, sizeof(expected));
} else {
expected = table[i-1];
}
EXPECT_EQ(Bytes(reinterpret_cast<const char *>(&expected), sizeof(expected)),
Bytes(reinterpret_cast<const char *>(&val), sizeof(val)));
}
// This is a constant-time function, so it is only necessary to instrument one
// index for ABI checking.
P256_POINT_AFFINE val;
CHECK_ABI(ecp_nistz256_select_w7, &val, table, 42);
}
TEST(P256_NistzTest, BEEU) {
#if defined(OPENSSL_X86_64)
if (!CRYPTO_is_AVX_capable()) {
// No AVX support; cannot run the BEEU code.
return;
}
#endif
const EC_GROUP *group = EC_group_p256();
BN_ULONG order_words[P256_LIMBS];
ASSERT_TRUE(
bn_copy_words(order_words, P256_LIMBS, EC_GROUP_get0_order(group)));
BN_ULONG in[P256_LIMBS], out[P256_LIMBS];
EC_SCALAR in_scalar, out_scalar, result;
OPENSSL_memset(in, 0, sizeof(in));
// Trying to find the inverse of zero should fail.
ASSERT_FALSE(beeu_mod_inverse_vartime(out, in, order_words));
// This is not a constant-time function, so instrument both zero and a few
// inputs below.
ASSERT_FALSE(CHECK_ABI(beeu_mod_inverse_vartime, out, in, order_words));
// kOneMont is 1, in Montgomery form.
static const BN_ULONG kOneMont[P256_LIMBS] = {
TOBN(0xc46353d, 0x039cdaaf),
TOBN(0x43190552, 0x58e8617b),
0,
0xffffffff,
};
for (BN_ULONG i = 1; i < 2000; i++) {
SCOPED_TRACE(i);
in[0] = i;
if (i >= 1000) {
in[1] = i << 8;
in[2] = i << 32;
in[3] = i << 48;
} else {
in[1] = in[2] = in[3] = 0;
}
EXPECT_TRUE(bn_less_than_words(in, order_words, P256_LIMBS));
ASSERT_TRUE(beeu_mod_inverse_vartime(out, in, order_words));
EXPECT_TRUE(bn_less_than_words(out, order_words, P256_LIMBS));
// Calculate out*in and confirm that it equals one, modulo the order.
OPENSSL_memcpy(in_scalar.words, in, sizeof(in));
OPENSSL_memcpy(out_scalar.words, out, sizeof(out));
ec_scalar_to_montgomery(group, &in_scalar, &in_scalar);
ec_scalar_to_montgomery(group, &out_scalar, &out_scalar);
ec_scalar_mul_montgomery(group, &result, &in_scalar, &out_scalar);
EXPECT_EQ(0, OPENSSL_memcmp(kOneMont, &result, sizeof(kOneMont)));
// Invert the result and expect to get back to the original value.
ASSERT_TRUE(beeu_mod_inverse_vartime(out, out, order_words));
EXPECT_EQ(0, OPENSSL_memcmp(in, out, sizeof(in)));
if (i < 5) {
EXPECT_TRUE(CHECK_ABI(beeu_mod_inverse_vartime, out, in, order_words));
}
}
}
static bool GetFieldElement(FileTest *t, BN_ULONG out[P256_LIMBS],
const char *name) {
std::vector<uint8_t> bytes;
if (!t->GetBytes(&bytes, name)) {
return false;
}
if (bytes.size() != BN_BYTES * P256_LIMBS) {
ADD_FAILURE() << "Invalid length: " << name;
return false;
}
// |byte| contains bytes in big-endian while |out| should contain |BN_ULONG|s
// in little-endian.
OPENSSL_memset(out, 0, P256_LIMBS * sizeof(BN_ULONG));
for (size_t i = 0; i < bytes.size(); i++) {
out[P256_LIMBS - 1 - (i / BN_BYTES)] <<= 8;
out[P256_LIMBS - 1 - (i / BN_BYTES)] |= bytes[i];
}
return true;
}
static std::string FieldElementToString(const BN_ULONG a[P256_LIMBS]) {
std::string ret;
for (size_t i = P256_LIMBS-1; i < P256_LIMBS; i--) {
char buf[2 * BN_BYTES + 1];
snprintf(buf, sizeof(buf), BN_HEX_FMT2, a[i]);
ret += buf;
}
return ret;
}
static testing::AssertionResult ExpectFieldElementsEqual(
const char *expected_expr, const char *actual_expr,
const BN_ULONG expected[P256_LIMBS], const BN_ULONG actual[P256_LIMBS]) {
if (OPENSSL_memcmp(expected, actual, sizeof(BN_ULONG) * P256_LIMBS) == 0) {
return testing::AssertionSuccess();
}
return testing::AssertionFailure()
<< "Expected: " << FieldElementToString(expected) << " ("
<< expected_expr << ")\n"
<< "Actual: " << FieldElementToString(actual) << " (" << actual_expr
<< ")";
}
#define EXPECT_FIELD_ELEMENTS_EQUAL(a, b) \
EXPECT_PRED_FORMAT2(ExpectFieldElementsEqual, a, b)
static bool PointToAffine(P256_POINT_AFFINE *out, const P256_POINT *in) {
static const uint8_t kP[] = {
0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
};
bssl::UniquePtr<BIGNUM> x(BN_new()), y(BN_new()), z(BN_new());
bssl::UniquePtr<BIGNUM> p(BN_bin2bn(kP, sizeof(kP), nullptr));
if (!x || !y || !z || !p ||
!bn_set_words(x.get(), in->X, P256_LIMBS) ||
!bn_set_words(y.get(), in->Y, P256_LIMBS) ||
!bn_set_words(z.get(), in->Z, P256_LIMBS)) {
return false;
}
// Coordinates must be fully-reduced.
if (BN_cmp(x.get(), p.get()) >= 0 ||
BN_cmp(y.get(), p.get()) >= 0 ||
BN_cmp(z.get(), p.get()) >= 0) {
return false;
}
if (BN_is_zero(z.get())) {
// The point at infinity is represented as (0, 0).
OPENSSL_memset(out, 0, sizeof(P256_POINT_AFFINE));
return true;
}
bssl::UniquePtr<BN_CTX> ctx(BN_CTX_new());
bssl::UniquePtr<BN_MONT_CTX> mont(
BN_MONT_CTX_new_for_modulus(p.get(), ctx.get()));
if (!ctx || !mont ||
// Invert Z.
!BN_from_montgomery(z.get(), z.get(), mont.get(), ctx.get()) ||
!BN_mod_inverse(z.get(), z.get(), p.get(), ctx.get()) ||
!BN_to_montgomery(z.get(), z.get(), mont.get(), ctx.get()) ||
// Convert (X, Y, Z) to (X/Z^2, Y/Z^3).
!BN_mod_mul_montgomery(x.get(), x.get(), z.get(), mont.get(),
ctx.get()) ||
!BN_mod_mul_montgomery(x.get(), x.get(), z.get(), mont.get(),
ctx.get()) ||
!BN_mod_mul_montgomery(y.get(), y.get(), z.get(), mont.get(),
ctx.get()) ||
!BN_mod_mul_montgomery(y.get(), y.get(), z.get(), mont.get(),
ctx.get()) ||
!BN_mod_mul_montgomery(y.get(), y.get(), z.get(), mont.get(),
ctx.get()) ||
!bn_copy_words(out->X, P256_LIMBS, x.get()) ||
!bn_copy_words(out->Y, P256_LIMBS, y.get())) {
return false;
}
return true;
}
static testing::AssertionResult ExpectPointsEqual(
const char *expected_expr, const char *actual_expr,
const P256_POINT_AFFINE *expected, const P256_POINT *actual) {
// There are multiple representations of the same |P256_POINT|, so convert to
// |P256_POINT_AFFINE| and compare.
P256_POINT_AFFINE affine;
if (!PointToAffine(&affine, actual)) {
return testing::AssertionFailure()
<< "Could not convert " << actual_expr << " to affine: ("
<< FieldElementToString(actual->X) << ", "
<< FieldElementToString(actual->Y) << ", "
<< FieldElementToString(actual->Z) << ")";
}
if (OPENSSL_memcmp(expected, &affine, sizeof(P256_POINT_AFFINE)) != 0) {
return testing::AssertionFailure()
<< "Expected: (" << FieldElementToString(expected->X) << ", "
<< FieldElementToString(expected->Y) << ") (" << expected_expr
<< "; affine)\n"
<< "Actual: (" << FieldElementToString(affine.X) << ", "
<< FieldElementToString(affine.Y) << ") (" << actual_expr << ")";
}
return testing::AssertionSuccess();
}
#define EXPECT_POINTS_EQUAL(a, b) EXPECT_PRED_FORMAT2(ExpectPointsEqual, a, b)
static void TestNegate(FileTest *t) {
BN_ULONG a[P256_LIMBS], b[P256_LIMBS];
ASSERT_TRUE(GetFieldElement(t, a, "A"));
ASSERT_TRUE(GetFieldElement(t, b, "B"));
// Test that -A = B.
BN_ULONG ret[P256_LIMBS];
ecp_nistz256_neg(ret, a);
EXPECT_FIELD_ELEMENTS_EQUAL(b, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_neg(ret, ret /* a */);
EXPECT_FIELD_ELEMENTS_EQUAL(b, ret);
// Test that -B = A.
ecp_nistz256_neg(ret, b);
EXPECT_FIELD_ELEMENTS_EQUAL(a, ret);
OPENSSL_memcpy(ret, b, sizeof(ret));
ecp_nistz256_neg(ret, ret /* b */);
EXPECT_FIELD_ELEMENTS_EQUAL(a, ret);
}
static void TestMulMont(FileTest *t) {
BN_ULONG a[P256_LIMBS], b[P256_LIMBS], result[P256_LIMBS];
ASSERT_TRUE(GetFieldElement(t, a, "A"));
ASSERT_TRUE(GetFieldElement(t, b, "B"));
ASSERT_TRUE(GetFieldElement(t, result, "Result"));
BN_ULONG ret[P256_LIMBS];
ecp_nistz256_mul_mont(ret, a, b);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
ecp_nistz256_mul_mont(ret, b, a);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_mul_mont(ret, ret /* a */, b);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_mul_mont(ret, b, ret);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, b, sizeof(ret));
ecp_nistz256_mul_mont(ret, a, ret /* b */);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, b, sizeof(ret));
ecp_nistz256_mul_mont(ret, ret /* b */, a);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
if (OPENSSL_memcmp(a, b, sizeof(a)) == 0) {
ecp_nistz256_sqr_mont(ret, a);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_sqr_mont(ret, ret /* a */);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
}
}
static void TestFromMont(FileTest *t) {
BN_ULONG a[P256_LIMBS], result[P256_LIMBS];
ASSERT_TRUE(GetFieldElement(t, a, "A"));
ASSERT_TRUE(GetFieldElement(t, result, "Result"));
BN_ULONG ret[P256_LIMBS];
ecp_nistz256_from_mont(ret, a);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_from_mont(ret, ret /* a */);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
}
static void TestPointAdd(FileTest *t) {
P256_POINT a, b;
P256_POINT_AFFINE result;
ASSERT_TRUE(GetFieldElement(t, a.X, "A.X"));
ASSERT_TRUE(GetFieldElement(t, a.Y, "A.Y"));
ASSERT_TRUE(GetFieldElement(t, a.Z, "A.Z"));
ASSERT_TRUE(GetFieldElement(t, b.X, "B.X"));
ASSERT_TRUE(GetFieldElement(t, b.Y, "B.Y"));
ASSERT_TRUE(GetFieldElement(t, b.Z, "B.Z"));
ASSERT_TRUE(GetFieldElement(t, result.X, "Result.X"));
ASSERT_TRUE(GetFieldElement(t, result.Y, "Result.Y"));
P256_POINT ret;
ecp_nistz256_point_add(&ret, &a, &b);
EXPECT_POINTS_EQUAL(&result, &ret);
ecp_nistz256_point_add(&ret, &b, &a);
EXPECT_POINTS_EQUAL(&result, &ret);
OPENSSL_memcpy(&ret, &a, sizeof(ret));
ecp_nistz256_point_add(&ret, &ret /* a */, &b);
EXPECT_POINTS_EQUAL(&result, &ret);
OPENSSL_memcpy(&ret, &a, sizeof(ret));
ecp_nistz256_point_add(&ret, &b, &ret /* a */);
EXPECT_POINTS_EQUAL(&result, &ret);
OPENSSL_memcpy(&ret, &b, sizeof(ret));
ecp_nistz256_point_add(&ret, &a, &ret /* b */);
EXPECT_POINTS_EQUAL(&result, &ret);
OPENSSL_memcpy(&ret, &b, sizeof(ret));
ecp_nistz256_point_add(&ret, &ret /* b */, &a);
EXPECT_POINTS_EQUAL(&result, &ret);
P256_POINT_AFFINE a_affine, b_affine, infinity;
OPENSSL_memset(&infinity, 0, sizeof(infinity));
ASSERT_TRUE(PointToAffine(&a_affine, &a));
ASSERT_TRUE(PointToAffine(&b_affine, &b));
// ecp_nistz256_point_add_affine does not work when a == b unless doubling the
// point at infinity.
if (OPENSSL_memcmp(&a_affine, &b_affine, sizeof(a_affine)) != 0 ||
OPENSSL_memcmp(&a_affine, &infinity, sizeof(a_affine)) == 0) {
ecp_nistz256_point_add_affine(&ret, &a, &b_affine);
EXPECT_POINTS_EQUAL(&result, &ret);
OPENSSL_memcpy(&ret, &a, sizeof(ret));
ecp_nistz256_point_add_affine(&ret, &ret /* a */, &b_affine);
EXPECT_POINTS_EQUAL(&result, &ret);
ecp_nistz256_point_add_affine(&ret, &b, &a_affine);
EXPECT_POINTS_EQUAL(&result, &ret);
OPENSSL_memcpy(&ret, &b, sizeof(ret));
ecp_nistz256_point_add_affine(&ret, &ret /* b */, &a_affine);
EXPECT_POINTS_EQUAL(&result, &ret);
}
if (OPENSSL_memcmp(&a, &b, sizeof(a)) == 0) {
ecp_nistz256_point_double(&ret, &a);
EXPECT_POINTS_EQUAL(&result, &ret);
ret = a;
ecp_nistz256_point_double(&ret, &ret /* a */);
EXPECT_POINTS_EQUAL(&result, &ret);
}
}
static void TestOrdMulMont(FileTest *t) {
// This test works on scalars rather than field elements, but the
// representation is the same.
BN_ULONG a[P256_LIMBS], b[P256_LIMBS], result[P256_LIMBS];
ASSERT_TRUE(GetFieldElement(t, a, "A"));
ASSERT_TRUE(GetFieldElement(t, b, "B"));
ASSERT_TRUE(GetFieldElement(t, result, "Result"));
BN_ULONG ret[P256_LIMBS];
ecp_nistz256_ord_mul_mont(ret, a, b);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
ecp_nistz256_ord_mul_mont(ret, b, a);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_ord_mul_mont(ret, ret /* a */, b);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_ord_mul_mont(ret, b, ret);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, b, sizeof(ret));
ecp_nistz256_ord_mul_mont(ret, a, ret /* b */);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, b, sizeof(ret));
ecp_nistz256_ord_mul_mont(ret, ret /* b */, a);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
if (OPENSSL_memcmp(a, b, sizeof(a)) == 0) {
ecp_nistz256_ord_sqr_mont(ret, a, 1);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
OPENSSL_memcpy(ret, a, sizeof(ret));
ecp_nistz256_ord_sqr_mont(ret, ret /* a */, 1);
EXPECT_FIELD_ELEMENTS_EQUAL(result, ret);
}
}
TEST(P256_NistzTest, TestVectors) {
return FileTestGTest("crypto/fipsmodule/ec/p256-nistz_tests.txt",
[](FileTest *t) {
if (t->GetParameter() == "Negate") {
TestNegate(t);
} else if (t->GetParameter() == "MulMont") {
TestMulMont(t);
} else if (t->GetParameter() == "FromMont") {
TestFromMont(t);
} else if (t->GetParameter() == "PointAdd") {
TestPointAdd(t);
} else if (t->GetParameter() == "OrdMulMont") {
TestOrdMulMont(t);
} else {
FAIL() << "Unknown test type:" << t->GetParameter();
}
});
}
// Instrument the functions covered in TestVectors for ABI checking.
TEST(P256_NistzTest, ABI) {
BN_ULONG a[P256_LIMBS], b[P256_LIMBS], c[P256_LIMBS];
OPENSSL_memset(a, 0x01, sizeof(a));
// These functions are all constant-time, so it is only necessary to
// instrument one call each for ABI checking.
CHECK_ABI(ecp_nistz256_neg, b, a);
CHECK_ABI(ecp_nistz256_mul_mont, c, a, b);
CHECK_ABI(ecp_nistz256_sqr_mont, c, a);
CHECK_ABI(ecp_nistz256_from_mont, c, a);
CHECK_ABI(ecp_nistz256_ord_mul_mont, c, a, b);
// Check a few different loop counts.
CHECK_ABI(ecp_nistz256_ord_sqr_mont, b, a, 1);
CHECK_ABI(ecp_nistz256_ord_sqr_mont, b, a, 3);
// Point addition has some special cases around infinity and doubling. Test a
// few different scenarios.
static const P256_POINT kA = {
{TOBN(0x60559ac7, 0xc8d0d89d), TOBN(0x6cda3400, 0x545f7e2c),
TOBN(0x9b5159e0, 0x323e6048), TOBN(0xcb8dea33, 0x27057fe6)},
{TOBN(0x81a2d3bc, 0xc93a2d53), TOBN(0x81f40762, 0xa4f33ccf),
TOBN(0xc3c3300a, 0xa8ad50ea), TOBN(0x553de89b, 0x31719830)},
{TOBN(0x3fd9470f, 0xb277d181), TOBN(0xc191b8d5, 0x6376f206),
TOBN(0xb2572c1f, 0x45eda26f), TOBN(0x4589e40d, 0xf2efc546)},
};
static const P256_POINT kB = {
{TOBN(0x3cf0b0aa, 0x92054341), TOBN(0xb949bb80, 0xdab57807),
TOBN(0x99de6814, 0xefd21b3e), TOBN(0x32ad5649, 0x7c6c6e83)},
{TOBN(0x06afaa02, 0x688399e0), TOBN(0x75f2d096, 0x2a3ce65c),
TOBN(0xf6a31eb7, 0xca0244b3), TOBN(0x57b33b7a, 0xcfeee75e)},
{TOBN(0x7617d2e0, 0xb4f1d35f), TOBN(0xa922cb10, 0x7f592b65),
TOBN(0x12fd6c7a, 0x51a2f474), TOBN(0x337d5e1e, 0xc2fc711b)},
};
// This file represents Jacobian infinity as (*, *, 0).
static const P256_POINT kInfinity = {
{TOBN(0, 0), TOBN(0, 0), TOBN(0, 0), TOBN(0, 0)},
{TOBN(0, 0), TOBN(0, 0), TOBN(0, 0), TOBN(0, 0)},
{TOBN(0, 0), TOBN(0, 0), TOBN(0, 0), TOBN(0, 0)},
};
P256_POINT p;
CHECK_ABI(ecp_nistz256_point_add, &p, &kA, &kB);
CHECK_ABI(ecp_nistz256_point_add, &p, &kA, &kA);
OPENSSL_memcpy(&p, &kA, sizeof(P256_POINT));
ecp_nistz256_neg(p.Y, p.Y);
CHECK_ABI(ecp_nistz256_point_add, &p, &kA, &p); // A + -A
CHECK_ABI(ecp_nistz256_point_add, &p, &kA, &kInfinity);
CHECK_ABI(ecp_nistz256_point_add, &p, &kInfinity, &kA);
CHECK_ABI(ecp_nistz256_point_add, &p, &kInfinity, &kInfinity);
CHECK_ABI(ecp_nistz256_point_double, &p, &kA);
CHECK_ABI(ecp_nistz256_point_double, &p, &kInfinity);
static const P256_POINT_AFFINE kC = {
{TOBN(0x7e3ad339, 0xfb3fa5f0), TOBN(0x559d669d, 0xe3a047b2),
TOBN(0x8883b298, 0x7042e595), TOBN(0xfabada65, 0x7e477f08)},
{TOBN(0xd9cfceb8, 0xda1c3e85), TOBN(0x80863761, 0x0ce6d6bc),
TOBN(0xa8409d84, 0x66034f02), TOBN(0x05519925, 0x31a68d55)},
};
// This file represents affine infinity as (0, 0).
static const P256_POINT_AFFINE kInfinityAffine = {
{TOBN(0, 0), TOBN(0, 0), TOBN(0, 0), TOBN(0, 0)},
{TOBN(0, 0), TOBN(0, 0), TOBN(0, 0), TOBN(0, 0)},
};
CHECK_ABI(ecp_nistz256_point_add_affine, &p, &kA, &kC);
CHECK_ABI(ecp_nistz256_point_add_affine, &p, &kA, &kInfinityAffine);
CHECK_ABI(ecp_nistz256_point_add_affine, &p, &kInfinity, &kInfinityAffine);
CHECK_ABI(ecp_nistz256_point_add_affine, &p, &kInfinity, &kC);
}
#endif