/* 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. */ #if !defined(__STDC_FORMAT_MACROS) #define __STDC_FORMAT_MACROS #endif #include #include #include #include #include #include #include "../bn/internal.h" #include "../../internal.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(&expected), sizeof(expected)), Bytes(reinterpret_cast(&val), sizeof(val))); } } 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(&expected), sizeof(expected)), Bytes(reinterpret_cast(&val), sizeof(val))); } } static bool GetFieldElement(FileTest *t, BN_ULONG out[P256_LIMBS], const char *name) { std::vector 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 x(BN_new()), y(BN_new()), z(BN_new()); bssl::UniquePtr 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 ctx(BN_CTX_new()); bssl::UniquePtr 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(); } }); } #endif