/* 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/cpu.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-x86_64.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_SMALL) && !defined(BORINGSSL_SHARED_LIBRARY) TEST(P256_X86_64Test, 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, 3 * i, sizeof(table[i].X)); OPENSSL_memset(table[i].Y, 3 * i + 1, sizeof(table[i].Y)); OPENSSL_memset(table[i].Z, 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_X86_64Test, 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, 2 * i, sizeof(table[i].X)); OPENSSL_memset(table[i].Y, 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_X86_64Test, BEEU) { if ((OPENSSL_ia32cap_P[1] & (1 << 28)) == 0) { // No AVX support; cannot run the BEEU code. return; } bssl::UniquePtr<EC_GROUP> group( EC_GROUP_new_by_curve_name(NID_X9_62_prime256v1)); ASSERT_TRUE(group); BN_ULONG order_words[P256_LIMBS]; ASSERT_TRUE( bn_copy_words(order_words, P256_LIMBS, EC_GROUP_get0_order(group.get()))); 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.bytes, in, sizeof(in)); OPENSSL_memcpy(out_scalar.bytes, out, sizeof(out)); ec_scalar_to_montgomery(group.get(), &in_scalar, &in_scalar); ec_scalar_to_montgomery(group.get(), &out_scalar, &out_scalar); ec_scalar_mul_montgomery(group.get(), &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]; BIO_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_X86_64Test, TestVectors) { return FileTestGTest("crypto/fipsmodule/ec/p256-x86_64_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_X86_64Test, 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