update master-with-bazel from master branch
This commit is contained in:
@@ -267,6 +267,7 @@ crypto_internal_headers = [
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"src/crypto/x509v3/internal.h",
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"src/third_party/fiat/curve25519_32.h",
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"src/third_party/fiat/curve25519_64.h",
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"src/third_party/fiat/curve25519_64_adx.h",
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"src/third_party/fiat/curve25519_64_msvc.h",
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"src/third_party/fiat/p256_32.h",
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"src/third_party/fiat/p256_64.h",
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@@ -348,6 +349,7 @@ crypto_sources = [
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"src/crypto/cpu_intel.c",
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"src/crypto/crypto.c",
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"src/crypto/curve25519/curve25519.c",
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"src/crypto/curve25519/curve25519_64_adx.c",
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"src/crypto/curve25519/spake25519.c",
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"src/crypto/des/des.c",
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"src/crypto/dh_extra/dh_asn1.c",
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@@ -72,6 +72,7 @@ test_support_sources = [
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"src/ssl/test/test_state.h",
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"src/third_party/fiat/curve25519_32.h",
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"src/third_party/fiat/curve25519_64.h",
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"src/third_party/fiat/curve25519_64_adx.h",
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"src/third_party/fiat/curve25519_64_msvc.h",
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"src/third_party/fiat/p256_32.h",
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"src/third_party/fiat/p256_64.h",
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@@ -341,6 +341,7 @@ add_library(
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src/crypto/cpu_intel.c
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src/crypto/crypto.c
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src/crypto/curve25519/curve25519.c
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src/crypto/curve25519/curve25519_64_adx.c
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src/crypto/curve25519/spake25519.c
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src/crypto/des/des.c
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src/crypto/dh_extra/dh_asn1.c
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@@ -77,6 +77,7 @@
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"src/crypto/cpu_intel.c",
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"src/crypto/crypto.c",
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"src/crypto/curve25519/curve25519.c",
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"src/crypto/curve25519/curve25519_64_adx.c",
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"src/crypto/curve25519/spake25519.c",
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"src/crypto/des/des.c",
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"src/crypto/dh_extra/dh_asn1.c",
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@@ -430,6 +431,7 @@
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"src/crypto/x509v3/internal.h",
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"src/third_party/fiat/curve25519_32.h",
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"src/third_party/fiat/curve25519_64.h",
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"src/third_party/fiat/curve25519_64_adx.h",
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"src/third_party/fiat/curve25519_64_msvc.h",
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"src/third_party/fiat/p256_32.h",
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"src/third_party/fiat/p256_64.h",
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@@ -15,6 +15,7 @@ endif()
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set(
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CRYPTO_SOURCES_ASM
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curve25519/asm/x25519-asm-arm.S
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curve25519/asm/fiat_curve25519_adx.S
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hrss/asm/poly_rq_mul.S
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poly1305/poly1305_arm_asm.S
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)
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@@ -137,6 +138,7 @@ add_library(
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cpu_intel.c
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crypto.c
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curve25519/curve25519.c
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curve25519/curve25519_64_adx.c
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curve25519/spake25519.c
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des/des.c
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dh_extra/params.c
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@@ -0,0 +1,11 @@
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#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_SMALL) && defined(__x86_64__)
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#if defined(BORINGSSL_PREFIX)
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#include <boringssl_prefix_symbols_asm.h>
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#endif
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.intel_syntax noprefix
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#include "../../../third_party/fiat/asm/fiat_curve25519_adx_mul.S"
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#include "../../../third_party/fiat/asm/fiat_curve25519_adx_square.S"
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#endif
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@@ -19,8 +19,6 @@
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//
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// The field functions are shared by Ed25519 and X25519 where possible.
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#include <openssl/curve25519.h>
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#include <assert.h>
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#include <string.h>
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@@ -31,7 +29,6 @@
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#include "internal.h"
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#include "../internal.h"
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// Various pre-computed constants.
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#include "./curve25519_tables.h"
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@@ -2069,6 +2066,12 @@ static void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32],
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x25519_NEON(out, scalar, point);
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return;
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}
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#elif defined(BORINGSSL_FE25519_ADX)
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if (CRYPTO_is_BMI1_capable() && CRYPTO_is_BMI2_capable() &&
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CRYPTO_is_ADX_capable()) {
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x25519_scalar_mult_adx(out, scalar, point);
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return;
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}
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#endif
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x25519_scalar_mult_generic(out, scalar, point);
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@@ -0,0 +1,18 @@
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/* Copyright (c) 2023, Google Inc.
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*
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* Permission to use, copy, modify, and/or distribute this software for any
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* purpose with or without fee is hereby granted, provided that the above
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* copyright notice and this permission notice appear in all copies.
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*
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* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
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* SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
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* OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
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* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
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#include "internal.h"
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#if defined(BORINGSSL_FE25519_ADX)
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#include "../../third_party/fiat/curve25519_64_adx.h"
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#endif
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@@ -15,14 +15,13 @@
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#ifndef OPENSSL_HEADER_CURVE25519_INTERNAL_H
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#define OPENSSL_HEADER_CURVE25519_INTERNAL_H
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#if defined(__cplusplus)
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extern "C" {
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#endif
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#include <openssl/base.h>
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#include <openssl/curve25519.h>
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#include "../internal.h"
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#if defined(__cplusplus)
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extern "C" {
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#endif
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#if defined(OPENSSL_ARM) && !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_APPLE)
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#define BORINGSSL_X25519_NEON
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@@ -32,6 +31,26 @@ void x25519_NEON(uint8_t out[32], const uint8_t scalar[32],
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const uint8_t point[32]);
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#endif
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#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_SMALL) && \
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defined(__GNUC__) && defined(__x86_64__)
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#define BORINGSSL_FE25519_ADX
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// fiat_curve25519_adx_mul is defined in
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// third_party/fiat/asm/fiat_curve25519_adx_mul.S
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void __attribute__((sysv_abi))
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fiat_curve25519_adx_mul(uint64_t out[4], const uint64_t in1[4],
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const uint64_t in2[4]);
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// fiat_curve25519_adx_square is defined in
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// third_party/fiat/asm/fiat_curve25519_adx_square.S
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void __attribute__((sysv_abi))
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fiat_curve25519_adx_square(uint64_t out[4], const uint64_t in[4]);
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// x25519_scalar_mult_adx is defined in third_party/fiat/curve25519_64_adx.h
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void x25519_scalar_mult_adx(uint8_t out[32], const uint8_t scalar[32],
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const uint8_t point[32]);
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#endif
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#if defined(OPENSSL_64_BIT)
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// fe means field element. Here the field is \Z/(2^255-19). An element t,
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// entries t[0]...t[4], represents the integer t[0]+2^51 t[1]+2^102 t[2]+2^153
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@@ -20,6 +20,7 @@
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#include <openssl/curve25519.h>
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#include "internal.h"
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#include "../internal.h"
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#include "../test/abi_test.h"
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#include "../test/file_test.h"
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@@ -231,3 +232,27 @@ TEST(X25519Test, NeonABI) {
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CHECK_ABI(x25519_NEON, secret, kScalar, kPoint);
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}
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#endif // BORINGSSL_X25519_NEON && SUPPORTS_ABI_TEST
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#if defined(BORINGSSL_FE25519_ADX) && defined(SUPPORTS_ABI_TEST)
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TEST(X25519Test, AdxMulABI) {
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static const uint64_t in1[4] = {0}, in2[4] = {0};
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uint64_t out[4];
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if (CRYPTO_is_BMI1_capable() && CRYPTO_is_BMI2_capable() &&
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CRYPTO_is_ADX_capable()) {
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CHECK_ABI(fiat_curve25519_adx_mul, out, in1, in2);
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} else {
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GTEST_SKIP() << "Can't test ABI of ADX code without ADX";
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}
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}
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TEST(X25519Test, AdxSquareABI) {
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static const uint64_t in[4] = {0};
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uint64_t out[4];
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if (CRYPTO_is_BMI1_capable() && CRYPTO_is_BMI2_capable() &&
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CRYPTO_is_ADX_capable()) {
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CHECK_ABI(fiat_curve25519_adx_square, out, in);
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} else {
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GTEST_SKIP() << "Can't test ABI of ADX code without ADX";
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}
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}
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#endif // BORINGSSL_FE25519_ADX && SUPPORTS_ABI_TEST
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@@ -257,7 +257,10 @@ TEST(DSATest, Verify) {
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TEST(DSATest, InvalidGroup) {
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bssl::UniquePtr<DSA> dsa = GetFIPSDSA();
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ASSERT_TRUE(dsa);
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BN_zero(dsa->g);
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bssl::UniquePtr<BIGNUM> zero(BN_new());
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ASSERT_TRUE(zero);
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ASSERT_TRUE(DSA_set0_pqg(dsa.get(), /*p=*/nullptr, /*q=*/nullptr,
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/*g=*/zero.release()));
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std::vector<uint8_t> sig(DSA_size(dsa.get()));
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unsigned sig_len;
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@@ -305,7 +308,10 @@ TEST(DSATest, MissingPrivate) {
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TEST(DSATest, ZeroPrivateKey) {
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bssl::UniquePtr<DSA> dsa = GetFIPSDSA();
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ASSERT_TRUE(dsa);
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BN_zero(dsa->priv_key);
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bssl::UniquePtr<BIGNUM> zero(BN_new());
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ASSERT_TRUE(zero);
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ASSERT_TRUE(DSA_set0_key(dsa.get(), /*pub_key=*/nullptr,
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/*priv_key=*/zero.release()));
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static const uint8_t kZeroDigest[32] = {0};
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std::vector<uint8_t> sig(DSA_size(dsa.get()));
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@@ -17,11 +17,29 @@
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#include <openssl/dsa.h>
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#include <openssl/thread.h>
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#if defined(__cplusplus)
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extern "C" {
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#endif
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struct dsa_st {
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BIGNUM *p;
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BIGNUM *q;
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BIGNUM *g;
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BIGNUM *pub_key;
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BIGNUM *priv_key;
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// Normally used to cache montgomery values
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CRYPTO_MUTEX method_mont_lock;
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BN_MONT_CTX *method_mont_p;
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BN_MONT_CTX *method_mont_q;
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CRYPTO_refcount_t references;
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CRYPTO_EX_DATA ex_data;
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};
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// dsa_check_key performs cheap self-checks on |dsa|, and ensures it is within
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// DoS bounds. It returns one on success and zero on error.
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int dsa_check_key(const DSA *dsa);
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@@ -194,12 +194,12 @@ static int rsa_priv_print(BIO *bp, const EVP_PKEY *pkey, int indent) {
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static int do_dsa_print(BIO *bp, const DSA *x, int off, int ptype) {
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const BIGNUM *priv_key = NULL;
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if (ptype == 2) {
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priv_key = x->priv_key;
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priv_key = DSA_get0_priv_key(x);
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}
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const BIGNUM *pub_key = NULL;
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if (ptype > 0) {
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pub_key = x->pub_key;
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pub_key = DSA_get0_pub_key(x);
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}
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const char *ktype = "DSA-Parameters";
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@@ -210,14 +210,15 @@ static int do_dsa_print(BIO *bp, const DSA *x, int off, int ptype) {
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}
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if (!BIO_indent(bp, off, 128) ||
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BIO_printf(bp, "%s: (%u bit)\n", ktype, BN_num_bits(x->p)) <= 0 ||
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BIO_printf(bp, "%s: (%u bit)\n", ktype, BN_num_bits(DSA_get0_p(x))) <=
|
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0 ||
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// |priv_key| and |pub_key| may be NULL, in which case |bn_print| will
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// silently skip them.
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!bn_print(bp, "priv:", priv_key, off) ||
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!bn_print(bp, "pub:", pub_key, off) ||
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!bn_print(bp, "P:", x->p, off) ||
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!bn_print(bp, "Q:", x->q, off) ||
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!bn_print(bp, "G:", x->g, off)) {
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!bn_print(bp, "P:", DSA_get0_p(x), off) ||
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!bn_print(bp, "Q:", DSA_get0_q(x), off) ||
|
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!bn_print(bp, "G:", DSA_get0_g(x), off)) {
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return 0;
|
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}
|
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|
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|
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@@ -62,9 +62,7 @@
|
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|
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#include <openssl/base.h>
|
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|
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#include <openssl/engine.h>
|
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#include <openssl/ex_data.h>
|
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#include <openssl/thread.h>
|
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|
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#if defined(__cplusplus)
|
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extern "C" {
|
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@@ -398,25 +396,6 @@ OPENSSL_EXPORT DSA *DSA_generate_parameters(int bits, unsigned char *seed,
|
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void *cb_arg);
|
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|
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|
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struct dsa_st {
|
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long version;
|
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BIGNUM *p;
|
||||
BIGNUM *q; // == 20
|
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BIGNUM *g;
|
||||
|
||||
BIGNUM *pub_key; // y public key
|
||||
BIGNUM *priv_key; // x private key
|
||||
|
||||
int flags;
|
||||
// Normally used to cache montgomery values
|
||||
CRYPTO_MUTEX method_mont_lock;
|
||||
BN_MONT_CTX *method_mont_p;
|
||||
BN_MONT_CTX *method_mont_q;
|
||||
CRYPTO_refcount_t references;
|
||||
CRYPTO_EX_DATA ex_data;
|
||||
};
|
||||
|
||||
|
||||
#if defined(__cplusplus)
|
||||
} // extern C
|
||||
|
||||
|
||||
+155
@@ -0,0 +1,155 @@
|
||||
.text
|
||||
#if defined(__APPLE__)
|
||||
.global _fiat_curve25519_adx_mul
|
||||
_fiat_curve25519_adx_mul:
|
||||
#else
|
||||
.global fiat_curve25519_adx_mul
|
||||
fiat_curve25519_adx_mul:
|
||||
#endif
|
||||
|
||||
.cfi_startproc
|
||||
mov [rsp - 0x08], rbp
|
||||
.cfi_offset rbp, -8-0x08
|
||||
mov rbp, rsp
|
||||
|
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mov rax, rdx
|
||||
mov rdx, [ rsi + 0x18 ]
|
||||
mulx r11, r10, [ rax + 0x8 ]
|
||||
mov rdx, [ rax + 0x0 ]
|
||||
mov [ rsp - 0x58 ], r15
|
||||
.cfi_offset r15, -8-0x58
|
||||
mulx r8, rcx, [ rsi + 0x18 ]
|
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mov rdx, [ rsi + 0x8 ]
|
||||
mov [ rsp - 0x80 ], rbx
|
||||
.cfi_offset rbx, -8-0x80
|
||||
mulx rbx, r9, [ rax + 0x18 ]
|
||||
mov rdx, [ rsi + 0x8 ]
|
||||
mov [ rsp - 0x70 ], r12
|
||||
.cfi_offset r12, -8-0x70
|
||||
mulx r15, r12, [ rax + 0x8 ]
|
||||
mov rdx, [ rsi + 0x0 ]
|
||||
mov [ rsp - 0x68 ], r13
|
||||
.cfi_offset r13, -8-0x68
|
||||
mov [ rsp - 0x60 ], r14
|
||||
.cfi_offset r14, -8-0x60
|
||||
mulx r14, r13, [ rax + 0x0 ]
|
||||
mov rdx, [ rax + 0x10 ]
|
||||
mov [ rsp - 0x18 ], r15
|
||||
mov [ rsp - 0x50 ], rdi
|
||||
mulx rdi, r15, [ rsi + 0x0 ]
|
||||
mov rdx, [ rax + 0x18 ]
|
||||
mov [ rsp - 0x48 ], r13
|
||||
mov [ rsp - 0x40 ], r9
|
||||
mulx r9, r13, [ rsi + 0x0 ]
|
||||
test al, al
|
||||
adox rcx, rdi
|
||||
mov rdx, [ rsi + 0x10 ]
|
||||
mov [ rsp - 0x38 ], r13
|
||||
mulx r13, rdi, [ rax + 0x8 ]
|
||||
adox r10, r9
|
||||
mov rdx, 0x0
|
||||
adox rbx, rdx
|
||||
adcx rdi, rcx
|
||||
adcx r8, r10
|
||||
mov r9, rdx
|
||||
adcx r9, rbx
|
||||
mov rdx, [ rsi + 0x10 ]
|
||||
mulx r10, rcx, [ rax + 0x0 ]
|
||||
mov rdx, [ rsi + 0x0 ]
|
||||
mov [ rsp - 0x30 ], r15
|
||||
mulx r15, rbx, [ rax + 0x8 ]
|
||||
mov rdx, -0x2
|
||||
inc rdx
|
||||
adox rcx, r15
|
||||
setc r15b
|
||||
clc
|
||||
adcx rcx, r12
|
||||
adox r10, rdi
|
||||
mov rdx, [ rax + 0x10 ]
|
||||
mov [ rsp - 0x78 ], rcx
|
||||
mulx rcx, rdi, [ rsi + 0x10 ]
|
||||
adox rdi, r8
|
||||
mov rdx, [ rax + 0x18 ]
|
||||
mov [ rsp - 0x28 ], rcx
|
||||
mulx rcx, r8, [ rsi + 0x10 ]
|
||||
mov rdx, [ rax + 0x10 ]
|
||||
mov [ rsp - 0x20 ], r8
|
||||
mulx r12, r8, [ rsi + 0x18 ]
|
||||
adox r8, r9
|
||||
mov rdx, [ rsi + 0x8 ]
|
||||
mov [ rsp - 0x10 ], r12
|
||||
mulx r12, r9, [ rax + 0x10 ]
|
||||
movzx rdx, r15b
|
||||
lea rdx, [ rdx + rcx ]
|
||||
adcx r9, r10
|
||||
adcx r13, rdi
|
||||
mov r15, 0x0
|
||||
mov r10, r15
|
||||
adox r10, rdx
|
||||
mov rdx, [ rax + 0x18 ]
|
||||
mulx rcx, rdi, [ rsi + 0x18 ]
|
||||
adox rcx, r15
|
||||
adcx r11, r8
|
||||
mov rdx, r15
|
||||
adcx rdx, r10
|
||||
adcx rcx, r15
|
||||
mov r8, rdx
|
||||
mov rdx, [ rax + 0x0 ]
|
||||
mulx r15, r10, [ rsi + 0x8 ]
|
||||
test al, al
|
||||
adox r10, r14
|
||||
adcx rbx, r10
|
||||
adox r15, [ rsp - 0x78 ]
|
||||
adcx r15, [ rsp - 0x30 ]
|
||||
adox r9, [ rsp - 0x18 ]
|
||||
adcx r9, [ rsp - 0x38 ]
|
||||
adox r13, [ rsp - 0x40 ]
|
||||
adcx r12, r13
|
||||
adox r11, [ rsp - 0x20 ]
|
||||
adcx r11, [ rsp - 0x28 ]
|
||||
mov rdx, 0x26
|
||||
mulx rsi, r14, r12
|
||||
adox rdi, r8
|
||||
adcx rdi, [ rsp - 0x10 ]
|
||||
mulx r10, r8, r11
|
||||
mov r13, 0x0
|
||||
adox rcx, r13
|
||||
adcx rcx, r13
|
||||
mulx r11, r12, rdi
|
||||
xor rdi, rdi
|
||||
adox r8, rbx
|
||||
adox r12, r15
|
||||
mulx rbx, r13, rcx
|
||||
adcx r14, [ rsp - 0x48 ]
|
||||
adox r13, r9
|
||||
adox rbx, rdi
|
||||
adcx rsi, r8
|
||||
adcx r10, r12
|
||||
adcx r11, r13
|
||||
adc rbx, 0x0
|
||||
mulx r9, r15, rbx
|
||||
xor r9, r9
|
||||
adox r15, r14
|
||||
mov rdi, r9
|
||||
adox rdi, rsi
|
||||
mov rcx, r9
|
||||
adox rcx, r10
|
||||
mov r8, [ rsp - 0x50 ]
|
||||
mov [ r8 + 0x8 ], rdi
|
||||
mov r12, r9
|
||||
adox r12, r11
|
||||
mov r14, r9
|
||||
cmovo r14, rdx
|
||||
mov [ r8 + 0x18 ], r12
|
||||
adcx r15, r14
|
||||
mov [ r8 + 0x0 ], r15
|
||||
mov [ r8 + 0x10 ], rcx
|
||||
mov rbx, [ rsp - 0x80 ]
|
||||
mov r12, [ rsp - 0x70 ]
|
||||
mov r13, [ rsp - 0x68 ]
|
||||
mov r14, [ rsp - 0x60 ]
|
||||
mov r15, [ rsp - 0x58 ]
|
||||
|
||||
mov rbp, [rsp - 0x08]
|
||||
ret
|
||||
.cfi_endproc
|
||||
@@ -0,0 +1,123 @@
|
||||
.text
|
||||
#if defined(__APPLE__)
|
||||
.global _fiat_curve25519_adx_square
|
||||
_fiat_curve25519_adx_square:
|
||||
#else
|
||||
.global fiat_curve25519_adx_square
|
||||
fiat_curve25519_adx_square:
|
||||
#endif
|
||||
|
||||
.cfi_startproc
|
||||
mov [rsp - 0x08], rbp
|
||||
.cfi_offset rbp, -8-0x08
|
||||
mov rbp, rsp
|
||||
|
||||
mov rdx, [ rsi + 0x0 ]
|
||||
mulx r10, rax, [ rsi + 0x8 ]
|
||||
mov rdx, [ rsi + 0x0 ]
|
||||
mulx rcx, r11, [ rsi + 0x10 ]
|
||||
xor rdx, rdx
|
||||
adox r11, r10
|
||||
mov rdx, [ rsi + 0x0 ]
|
||||
mulx r9, r8, [ rsi + 0x18 ]
|
||||
mov rdx, [ rsi + 0x8 ]
|
||||
mov [ rsp - 0x80 ], rbx
|
||||
.cfi_offset rbx, -8-0x80
|
||||
mulx rbx, r10, [ rsi + 0x18 ]
|
||||
adox r8, rcx
|
||||
mov [rsp - 0x48 ], rdi
|
||||
adox r10, r9
|
||||
adcx rax, rax
|
||||
mov rdx, [ rsi + 0x10 ]
|
||||
mulx r9, rcx, [ rsi + 0x18 ]
|
||||
adox rcx, rbx
|
||||
mov rdx, [ rsi + 0x10 ]
|
||||
mulx rdi, rbx, [ rsi + 0x8 ]
|
||||
mov rdx, 0x0
|
||||
adox r9, rdx
|
||||
mov [ rsp - 0x70 ], r12
|
||||
.cfi_offset r12, -8-0x70
|
||||
mov r12, -0x3
|
||||
inc r12
|
||||
adox rbx, r8
|
||||
adox rdi, r10
|
||||
adcx r11, r11
|
||||
mov r8, rdx
|
||||
adox r8, rcx
|
||||
mov r10, rdx
|
||||
adox r10, r9
|
||||
adcx rbx, rbx
|
||||
mov rdx, [ rsi + 0x0 ]
|
||||
mulx r9, rcx, rdx
|
||||
mov rdx, [ rsi + 0x8 ]
|
||||
mov [ rsp - 0x68 ], r13
|
||||
.cfi_offset r13, -8-0x68
|
||||
mov [ rsp - 0x60 ], r14
|
||||
.cfi_offset r14, -8-0x60
|
||||
mulx r14, r13, rdx
|
||||
seto dl
|
||||
inc r12
|
||||
adox r9, rax
|
||||
adox r13, r11
|
||||
adox r14, rbx
|
||||
adcx rdi, rdi
|
||||
mov al, dl
|
||||
mov rdx, [ rsi + 0x10 ]
|
||||
mulx rbx, r11, rdx
|
||||
adox r11, rdi
|
||||
adcx r8, r8
|
||||
adox rbx, r8
|
||||
adcx r10, r10
|
||||
movzx rdx, al
|
||||
mov rdi, 0x0
|
||||
adcx rdx, rdi
|
||||
movzx r8, al
|
||||
lea r8, [ r8 + rdx ]
|
||||
mov rdx, [ rsi + 0x18 ]
|
||||
mulx rdi, rax, rdx
|
||||
adox rax, r10
|
||||
mov rdx, 0x26
|
||||
mov [ rsp - 0x58 ], r15
|
||||
.cfi_offset r15, -8-0x58
|
||||
mulx r15, r10, r11
|
||||
clc
|
||||
adcx r10, rcx
|
||||
mulx r11, rcx, rbx
|
||||
adox r8, rdi
|
||||
mulx rdi, rbx, r8
|
||||
inc r12
|
||||
adox rcx, r9
|
||||
mulx r8, r9, rax
|
||||
adcx r15, rcx
|
||||
adox r9, r13
|
||||
adcx r11, r9
|
||||
adox rbx, r14
|
||||
adox rdi, r12
|
||||
adcx r8, rbx
|
||||
adc rdi, 0x0
|
||||
mulx r14, r13, rdi
|
||||
test al, al
|
||||
mov rdi, [ rsp - 0x48 ]
|
||||
adox r13, r10
|
||||
mov r14, r12
|
||||
adox r14, r15
|
||||
mov [ rdi + 0x8 ], r14
|
||||
mov rax, r12
|
||||
adox rax, r11
|
||||
mov r10, r12
|
||||
adox r10, r8
|
||||
mov [ rdi + 0x10 ], rax
|
||||
mov rcx, r12
|
||||
cmovo rcx, rdx
|
||||
adcx r13, rcx
|
||||
mov [ rdi + 0x0 ], r13
|
||||
mov [ rdi + 0x18 ], r10
|
||||
mov rbx, [ rsp - 0x80 ]
|
||||
mov r12, [ rsp - 0x70 ]
|
||||
mov r13, [ rsp - 0x68 ]
|
||||
mov r14, [ rsp - 0x60 ]
|
||||
mov r15, [ rsp - 0x58 ]
|
||||
|
||||
mov rbp, [rsp - 0x08]
|
||||
ret
|
||||
.cfi_endproc
|
||||
+528
@@ -0,0 +1,528 @@
|
||||
#include <stdint.h>
|
||||
#include <immintrin.h>
|
||||
#include <string.h>
|
||||
|
||||
typedef uint64_t fe4[4];
|
||||
typedef uint8_t fiat_uint1;
|
||||
typedef int8_t fiat_int1;
|
||||
|
||||
static __inline__ uint64_t fiat_value_barrier_u64(uint64_t a) {
|
||||
__asm__("" : "+r"(a) : /* no inputs */);
|
||||
return a;
|
||||
}
|
||||
static inline void fe4_mul(fe4 out, const fe4 x, const fe4 y) { fiat_curve25519_adx_mul(out, x, y); }
|
||||
static inline void fe4_sq(fe4 out, const fe4 x) { fiat_curve25519_adx_square(out, x); }
|
||||
|
||||
/*
|
||||
* The function fiat_mulx_u64 is a multiplication, returning the full double-width result.
|
||||
*
|
||||
* Postconditions:
|
||||
* out1 = (arg1 * arg2) mod 2^64
|
||||
* out2 = ⌊arg1 * arg2 / 2^64⌋
|
||||
*
|
||||
* Input Bounds:
|
||||
* arg1: [0x0 ~> 0xffffffffffffffff]
|
||||
* arg2: [0x0 ~> 0xffffffffffffffff]
|
||||
* Output Bounds:
|
||||
* out1: [0x0 ~> 0xffffffffffffffff]
|
||||
* out2: [0x0 ~> 0xffffffffffffffff]
|
||||
*/
|
||||
static inline void fiat_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) {
|
||||
// NOTE: edited after generation
|
||||
#if defined(_M_X64)
|
||||
unsigned long long t;
|
||||
*out1 = _umul128(arg1, arg2, &t);
|
||||
*out2 = t;
|
||||
#elif defined(_M_ARM64)
|
||||
*out1 = arg1 * arg2;
|
||||
*out2 = __umulh(arg1, arg2);
|
||||
#else
|
||||
unsigned __int128 t = (unsigned __int128)arg1 * arg2;
|
||||
*out1 = t;
|
||||
*out2 = (t >> 64);
|
||||
#endif
|
||||
}
|
||||
|
||||
/*
|
||||
* The function fiat_addcarryx_u64 is an addition with carry.
|
||||
*
|
||||
* Postconditions:
|
||||
* out1 = (arg1 + arg2 + arg3) mod 2^64
|
||||
* out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
|
||||
*
|
||||
* Input Bounds:
|
||||
* arg1: [0x0 ~> 0x1]
|
||||
* arg2: [0x0 ~> 0xffffffffffffffff]
|
||||
* arg3: [0x0 ~> 0xffffffffffffffff]
|
||||
* Output Bounds:
|
||||
* out1: [0x0 ~> 0xffffffffffffffff]
|
||||
* out2: [0x0 ~> 0x1]
|
||||
*/
|
||||
static inline void fiat_addcarryx_u64(uint64_t* out1, fiat_uint1* out2, fiat_uint1 arg1, uint64_t arg2, uint64_t arg3) {
|
||||
// NOTE: edited after generation
|
||||
#if defined(__has_builtin)
|
||||
# if __has_builtin(__builtin_ia32_addcarryx_u64)
|
||||
# define addcarry64 __builtin_ia32_addcarryx_u64
|
||||
# endif
|
||||
#endif
|
||||
#if defined(addcarry64)
|
||||
long long unsigned int t;
|
||||
*out2 = addcarry64(arg1, arg2, arg3, &t);
|
||||
*out1 = t;
|
||||
#elif defined(_M_X64)
|
||||
long long unsigned int t;
|
||||
*out2 = _addcarry_u64(arg1, arg2, arg3, out1);
|
||||
*out1 = t;
|
||||
#else
|
||||
arg2 += arg1;
|
||||
arg1 = arg2 < arg1;
|
||||
uint64_t ret = arg2 + arg3;
|
||||
arg1 += ret < arg2;
|
||||
*out1 = ret;
|
||||
*out2 = arg1;
|
||||
#endif
|
||||
#undef addcarry64
|
||||
}
|
||||
|
||||
/*
|
||||
* The function fiat_subborrowx_u64 is a subtraction with borrow.
|
||||
*
|
||||
* Postconditions:
|
||||
* out1 = (-arg1 + arg2 + -arg3) mod 2^64
|
||||
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
|
||||
*
|
||||
* Input Bounds:
|
||||
* arg1: [0x0 ~> 0x1]
|
||||
* arg2: [0x0 ~> 0xffffffffffffffff]
|
||||
* arg3: [0x0 ~> 0xffffffffffffffff]
|
||||
* Output Bounds:
|
||||
* out1: [0x0 ~> 0xffffffffffffffff]
|
||||
* out2: [0x0 ~> 0x1]
|
||||
*/
|
||||
static inline void fiat_subborrowx_u64(uint64_t* out1, fiat_uint1* out2, fiat_uint1 arg1, uint64_t arg2, uint64_t arg3) {
|
||||
#if defined(__has_builtin)
|
||||
# if __has_builtin(__builtin_ia32_subborrow_u64)
|
||||
# define subborrow64 __builtin_ia32_subborrow_u64
|
||||
# endif
|
||||
#endif
|
||||
#if defined(subborrow64)
|
||||
long long unsigned int t;
|
||||
*out2 = subborrow64(arg1, arg2, arg3, &t);
|
||||
*out1 = t;
|
||||
#elif defined(_M_X64)
|
||||
long long unsigned int t;
|
||||
*out2 = _subborrow_u64(arg1, arg2, arg3, &t); // NOTE: edited after generation
|
||||
*out1 = t;
|
||||
#else
|
||||
*out1 = arg2 - arg3 - arg1;
|
||||
*out2 = (arg2 < arg3) | ((arg2 == arg3) & arg1);
|
||||
#endif
|
||||
#undef subborrow64
|
||||
}
|
||||
|
||||
/*
|
||||
* The function fiat_cmovznz_u64 is a single-word conditional move.
|
||||
*
|
||||
* Postconditions:
|
||||
* out1 = (if arg1 = 0 then arg2 else arg3)
|
||||
*
|
||||
* Input Bounds:
|
||||
* arg1: [0x0 ~> 0x1]
|
||||
* arg2: [0x0 ~> 0xffffffffffffffff]
|
||||
* arg3: [0x0 ~> 0xffffffffffffffff]
|
||||
* Output Bounds:
|
||||
* out1: [0x0 ~> 0xffffffffffffffff]
|
||||
*/
|
||||
static inline void fiat_cmovznz_u64(uint64_t* out1, fiat_uint1 arg1, uint64_t arg2, uint64_t arg3) {
|
||||
fiat_uint1 x1;
|
||||
uint64_t x2;
|
||||
uint64_t x3;
|
||||
x1 = (!(!arg1));
|
||||
x2 = ((fiat_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
|
||||
x3 = ((fiat_value_barrier_u64(x2) & arg3) | (fiat_value_barrier_u64((~x2)) & arg2));
|
||||
*out1 = x3;
|
||||
}
|
||||
|
||||
/*
|
||||
* Input Bounds:
|
||||
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* Output Bounds:
|
||||
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
*/
|
||||
static void fe4_add(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
|
||||
uint64_t x1;
|
||||
fiat_uint1 x2;
|
||||
uint64_t x3;
|
||||
fiat_uint1 x4;
|
||||
uint64_t x5;
|
||||
fiat_uint1 x6;
|
||||
uint64_t x7;
|
||||
fiat_uint1 x8;
|
||||
uint64_t x9;
|
||||
uint64_t x10;
|
||||
fiat_uint1 x11;
|
||||
uint64_t x12;
|
||||
fiat_uint1 x13;
|
||||
uint64_t x14;
|
||||
fiat_uint1 x15;
|
||||
uint64_t x16;
|
||||
fiat_uint1 x17;
|
||||
uint64_t x18;
|
||||
uint64_t x19;
|
||||
fiat_uint1 x20;
|
||||
fiat_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
|
||||
fiat_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
|
||||
fiat_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
|
||||
fiat_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
|
||||
fiat_cmovznz_u64(&x9, x8, 0x0, UINT8_C(0x26)); // NOTE: clang 14 for Zen 2 uses sbb, and
|
||||
fiat_addcarryx_u64(&x10, &x11, 0x0, x1, x9);
|
||||
fiat_addcarryx_u64(&x12, &x13, x11, x3, 0x0);
|
||||
fiat_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
|
||||
fiat_addcarryx_u64(&x16, &x17, x15, x7, 0x0);
|
||||
fiat_cmovznz_u64(&x18, x17, 0x0, UINT8_C(0x26)); // NOTE: clang 14 for Zen 2 uses sbb, and
|
||||
fiat_addcarryx_u64(&x19, &x20, 0x0, x10, x18);
|
||||
out1[0] = x19;
|
||||
out1[1] = x12;
|
||||
out1[2] = x14;
|
||||
out1[3] = x16;
|
||||
}
|
||||
|
||||
/*
|
||||
* Input Bounds:
|
||||
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* Output Bounds:
|
||||
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
*/
|
||||
static void fe4_sub(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
|
||||
uint64_t x1;
|
||||
uint64_t x2;
|
||||
fiat_uint1 x3;
|
||||
uint64_t x4;
|
||||
uint64_t x5;
|
||||
fiat_uint1 x6;
|
||||
uint64_t x7;
|
||||
uint64_t x8;
|
||||
fiat_uint1 x9;
|
||||
uint64_t x10;
|
||||
uint64_t x11;
|
||||
fiat_uint1 x12;
|
||||
uint64_t x13;
|
||||
uint64_t x14;
|
||||
fiat_uint1 x15;
|
||||
uint64_t x16;
|
||||
fiat_uint1 x17;
|
||||
uint64_t x18;
|
||||
fiat_uint1 x19;
|
||||
uint64_t x20;
|
||||
fiat_uint1 x21;
|
||||
uint64_t x22;
|
||||
uint64_t x23;
|
||||
fiat_uint1 x24;
|
||||
x1 = (arg2[0]);
|
||||
fiat_subborrowx_u64(&x2, &x3, 0x0, (arg1[0]), x1);
|
||||
x4 = (arg2[1]);
|
||||
fiat_subborrowx_u64(&x5, &x6, x3, (arg1[1]), x4);
|
||||
x7 = (arg2[2]);
|
||||
fiat_subborrowx_u64(&x8, &x9, x6, (arg1[2]), x7);
|
||||
x10 = (arg2[3]);
|
||||
fiat_subborrowx_u64(&x11, &x12, x9, (arg1[3]), x10);
|
||||
fiat_cmovznz_u64(&x13, x12, 0x0, UINT8_C(0x26)); // NOTE: clang 14 for Zen 2 uses sbb, and
|
||||
fiat_subborrowx_u64(&x14, &x15, 0x0, x2, x13);
|
||||
fiat_subborrowx_u64(&x16, &x17, x15, x5, 0x0);
|
||||
fiat_subborrowx_u64(&x18, &x19, x17, x8, 0x0);
|
||||
fiat_subborrowx_u64(&x20, &x21, x19, x11, 0x0);
|
||||
fiat_cmovznz_u64(&x22, x21, 0x0, UINT8_C(0x26)); // NOTE: clang 14 for Zen 2 uses sbb, and
|
||||
fiat_subborrowx_u64(&x23, &x24, 0x0, x14, x22);
|
||||
out1[0] = x23;
|
||||
out1[1] = x16;
|
||||
out1[2] = x18;
|
||||
out1[3] = x20;
|
||||
}
|
||||
|
||||
/*
|
||||
* Input Bounds:
|
||||
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* arg2: [0x0 ~> 0x3ffffffffffffff] // NOTE: this is not any uint64!
|
||||
* Output Bounds:
|
||||
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
*/
|
||||
static void fe4_scmul(uint64_t out1[4], const uint64_t arg1[4], uint64_t arg2) {
|
||||
uint64_t x1;
|
||||
uint64_t x2;
|
||||
uint64_t x3;
|
||||
uint64_t x4;
|
||||
uint64_t x5;
|
||||
fiat_uint1 x6;
|
||||
uint64_t x7;
|
||||
uint64_t x8;
|
||||
uint64_t x9;
|
||||
fiat_uint1 x10;
|
||||
uint64_t x11;
|
||||
uint64_t x12;
|
||||
uint64_t x13;
|
||||
fiat_uint1 x14;
|
||||
uint64_t x15;
|
||||
uint64_t x16;
|
||||
uint64_t x17;
|
||||
fiat_uint1 x18;
|
||||
uint64_t x19;
|
||||
fiat_uint1 x20;
|
||||
uint64_t x21;
|
||||
fiat_uint1 x22;
|
||||
uint64_t x23;
|
||||
fiat_uint1 x24;
|
||||
uint64_t x25;
|
||||
uint64_t x26;
|
||||
fiat_uint1 x27;
|
||||
fiat_mulx_u64(&x1, &x2, (arg1[0]), arg2);
|
||||
fiat_mulx_u64(&x3, &x4, (arg1[1]), arg2);
|
||||
fiat_addcarryx_u64(&x5, &x6, 0x0, x2, x3);
|
||||
fiat_mulx_u64(&x7, &x8, (arg1[2]), arg2);
|
||||
fiat_addcarryx_u64(&x9, &x10, x6, x4, x7);
|
||||
fiat_mulx_u64(&x11, &x12, (arg1[3]), arg2);
|
||||
fiat_addcarryx_u64(&x13, &x14, x10, x8, x11);
|
||||
fiat_mulx_u64(&x15, &x16, (x12 + (uint64_t)x14), UINT8_C(0x26));
|
||||
fiat_addcarryx_u64(&x17, &x18, 0x0, x1, x15);
|
||||
fiat_addcarryx_u64(&x19, &x20, x18, x5, 0x0);
|
||||
fiat_addcarryx_u64(&x21, &x22, x20, x9, 0x0);
|
||||
fiat_addcarryx_u64(&x23, &x24, x22, x13, 0x0);
|
||||
fiat_cmovznz_u64(&x25, x24, 0x0, UINT8_C(0x26)); // NOTE: clang 14 for Zen 2 uses sbb, and
|
||||
fiat_addcarryx_u64(&x26, &x27, 0x0, x17, x25);
|
||||
out1[0] = x26;
|
||||
out1[1] = x19;
|
||||
out1[2] = x21;
|
||||
out1[3] = x23;
|
||||
}
|
||||
|
||||
/*
|
||||
* Input Bounds:
|
||||
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* Output Bounds:
|
||||
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
*/
|
||||
static void fe4_canon(uint64_t out1[4], const uint64_t arg1[4]) {
|
||||
uint64_t x1;
|
||||
fiat_uint1 x2;
|
||||
uint64_t x3;
|
||||
fiat_uint1 x4;
|
||||
uint64_t x5;
|
||||
fiat_uint1 x6;
|
||||
uint64_t x7;
|
||||
fiat_uint1 x8;
|
||||
uint64_t x9;
|
||||
uint64_t x10;
|
||||
uint64_t x11;
|
||||
uint64_t x12;
|
||||
uint64_t x13;
|
||||
fiat_uint1 x14;
|
||||
uint64_t x15;
|
||||
fiat_uint1 x16;
|
||||
uint64_t x17;
|
||||
fiat_uint1 x18;
|
||||
uint64_t x19;
|
||||
fiat_uint1 x20;
|
||||
uint64_t x21;
|
||||
uint64_t x22;
|
||||
uint64_t x23;
|
||||
uint64_t x24;
|
||||
fiat_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0xffffffffffffffed));
|
||||
fiat_subborrowx_u64(&x3, &x4, x2, (arg1[1]), UINT64_C(0xffffffffffffffff));
|
||||
fiat_subborrowx_u64(&x5, &x6, x4, (arg1[2]), UINT64_C(0xffffffffffffffff));
|
||||
fiat_subborrowx_u64(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7fffffffffffffff));
|
||||
fiat_cmovznz_u64(&x9, x8, x1, (arg1[0]));
|
||||
fiat_cmovznz_u64(&x10, x8, x3, (arg1[1]));
|
||||
fiat_cmovznz_u64(&x11, x8, x5, (arg1[2]));
|
||||
fiat_cmovznz_u64(&x12, x8, x7, (arg1[3]));
|
||||
fiat_subborrowx_u64(&x13, &x14, 0x0, x9, UINT64_C(0xffffffffffffffed));
|
||||
fiat_subborrowx_u64(&x15, &x16, x14, x10, UINT64_C(0xffffffffffffffff));
|
||||
fiat_subborrowx_u64(&x17, &x18, x16, x11, UINT64_C(0xffffffffffffffff));
|
||||
fiat_subborrowx_u64(&x19, &x20, x18, x12, UINT64_C(0x7fffffffffffffff));
|
||||
fiat_cmovznz_u64(&x21, x20, x13, x9);
|
||||
fiat_cmovznz_u64(&x22, x20, x15, x10);
|
||||
fiat_cmovznz_u64(&x23, x20, x17, x11);
|
||||
fiat_cmovznz_u64(&x24, x20, x19, x12);
|
||||
out1[0] = x21;
|
||||
out1[1] = x22;
|
||||
out1[2] = x23;
|
||||
out1[3] = x24;
|
||||
}
|
||||
|
||||
/*
|
||||
* Input Bounds:
|
||||
* arg1: [0x0 ~> 0x1]
|
||||
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* Output Bounds:
|
||||
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
* out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
||||
*/
|
||||
static void fe4_cswap(uint64_t out1[4], uint64_t out2[4], fiat_uint1 arg1, const uint64_t arg2[4], const uint64_t arg3[4]) {
|
||||
uint64_t x1;
|
||||
uint64_t x2;
|
||||
uint64_t x3;
|
||||
uint64_t x4;
|
||||
uint64_t x5;
|
||||
uint64_t x6;
|
||||
uint64_t x7;
|
||||
uint64_t x8;
|
||||
// NOTE: clang 14 for Zen 2 uses YMM registers
|
||||
fiat_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
|
||||
fiat_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
|
||||
fiat_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
|
||||
fiat_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
|
||||
fiat_cmovznz_u64(&x5, arg1, (arg3[0]), (arg2[0]));
|
||||
fiat_cmovznz_u64(&x6, arg1, (arg3[1]), (arg2[1]));
|
||||
fiat_cmovznz_u64(&x7, arg1, (arg3[2]), (arg2[2]));
|
||||
fiat_cmovznz_u64(&x8, arg1, (arg3[3]), (arg2[3]));
|
||||
out1[0] = x1;
|
||||
out1[1] = x2;
|
||||
out1[2] = x3;
|
||||
out1[3] = x4;
|
||||
out2[0] = x5;
|
||||
out2[1] = x6;
|
||||
out2[2] = x7;
|
||||
out2[3] = x8;
|
||||
}
|
||||
|
||||
// The following functions are adaped from crypto/curve25519/curve25519.c
|
||||
// It would be desirable to share the code, but with the current field
|
||||
// implementations both 4-limb and 5-limb versions of the curve-level code need
|
||||
// to be included in builds targetting an unknown variant of x86_64.
|
||||
|
||||
static void fe4_invert(fe4 out, const fe4 z) {
|
||||
fe4 t0;
|
||||
fe4 t1;
|
||||
fe4 t2;
|
||||
fe4 t3;
|
||||
int i;
|
||||
|
||||
fe4_sq(t0, z);
|
||||
fe4_sq(t1, t0);
|
||||
for (i = 1; i < 2; ++i) {
|
||||
fe4_sq(t1, t1);
|
||||
}
|
||||
fe4_mul(t1, z, t1);
|
||||
fe4_mul(t0, t0, t1);
|
||||
fe4_sq(t2, t0);
|
||||
fe4_mul(t1, t1, t2);
|
||||
fe4_sq(t2, t1);
|
||||
for (i = 1; i < 5; ++i) {
|
||||
fe4_sq(t2, t2);
|
||||
}
|
||||
fe4_mul(t1, t2, t1);
|
||||
fe4_sq(t2, t1);
|
||||
for (i = 1; i < 10; ++i) {
|
||||
fe4_sq(t2, t2);
|
||||
}
|
||||
fe4_mul(t2, t2, t1);
|
||||
fe4_sq(t3, t2);
|
||||
for (i = 1; i < 20; ++i) {
|
||||
fe4_sq(t3, t3);
|
||||
}
|
||||
fe4_mul(t2, t3, t2);
|
||||
fe4_sq(t2, t2);
|
||||
for (i = 1; i < 10; ++i) {
|
||||
fe4_sq(t2, t2);
|
||||
}
|
||||
fe4_mul(t1, t2, t1);
|
||||
fe4_sq(t2, t1);
|
||||
for (i = 1; i < 50; ++i) {
|
||||
fe4_sq(t2, t2);
|
||||
}
|
||||
fe4_mul(t2, t2, t1);
|
||||
fe4_sq(t3, t2);
|
||||
for (i = 1; i < 100; ++i) {
|
||||
fe4_sq(t3, t3);
|
||||
}
|
||||
fe4_mul(t2, t3, t2);
|
||||
fe4_sq(t2, t2);
|
||||
for (i = 1; i < 50; ++i) {
|
||||
fe4_sq(t2, t2);
|
||||
}
|
||||
fe4_mul(t1, t2, t1);
|
||||
fe4_sq(t1, t1);
|
||||
for (i = 1; i < 5; ++i) {
|
||||
fe4_sq(t1, t1);
|
||||
}
|
||||
fe4_mul(out, t1, t0);
|
||||
}
|
||||
|
||||
void x25519_scalar_mult_adx(uint8_t out[32], const uint8_t scalar[32],
|
||||
const uint8_t point[32]) {
|
||||
uint8_t e[32];
|
||||
memcpy(e, scalar, 32);
|
||||
e[0] &= 248;
|
||||
e[31] &= 127;
|
||||
e[31] |= 64;
|
||||
|
||||
// The following implementation was transcribed to Coq and proven to
|
||||
// correspond to unary scalar multiplication in affine coordinates given that
|
||||
// x1 != 0 is the x coordinate of some point on the curve. It was also checked
|
||||
// in Coq that doing a ladderstep with x1 = x3 = 0 gives z2' = z3' = 0, and z2
|
||||
// = z3 = 0 gives z2' = z3' = 0. The statement was quantified over the
|
||||
// underlying field, so it applies to Curve25519 itself and the quadratic
|
||||
// twist of Curve25519. It was not proven in Coq that prime-field arithmetic
|
||||
// correctly simulates extension-field arithmetic on prime-field values.
|
||||
// The decoding of the byte array representation of e was not considered.
|
||||
// Specification of Montgomery curves in affine coordinates:
|
||||
// <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Spec/MontgomeryCurve.v#L27>
|
||||
// Proof that these form a group that is isomorphic to a Weierstrass curve:
|
||||
// <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/AffineProofs.v#L35>
|
||||
// Coq transcription and correctness proof of the loop (where scalarbits=255):
|
||||
// <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZ.v#L118>
|
||||
// <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L278>
|
||||
// preconditions: 0 <= e < 2^255 (not necessarily e < order), fe_invert(0) = 0
|
||||
fe4 x1, x2 = {1}, z2 = {0}, x3, z3 = {1}, tmp0, tmp1;
|
||||
OPENSSL_memcpy(x1, point, sizeof(fe4));
|
||||
x1[3] &= (uint64_t)(-1)>>1;
|
||||
OPENSSL_memcpy(x3, x1, sizeof(fe4));
|
||||
|
||||
unsigned swap = 0;
|
||||
int pos;
|
||||
for (pos = 254; pos >= 0; --pos) {
|
||||
// loop invariant as of right before the test, for the case where x1 != 0:
|
||||
// pos >= -1; if z2 = 0 then x2 is nonzero; if z3 = 0 then x3 is nonzero
|
||||
// let r := e >> (pos+1) in the following equalities of projective points:
|
||||
// to_xz (r*P) === if swap then (x3, z3) else (x2, z2)
|
||||
// to_xz ((r+1)*P) === if swap then (x2, z2) else (x3, z3)
|
||||
// x1 is the nonzero x coordinate of the nonzero point (r*P-(r+1)*P)
|
||||
unsigned b = 1 & (e[pos / 8] >> (pos & 7));
|
||||
swap ^= b;
|
||||
fe4_cswap(x2, x3, swap, x2, x3);
|
||||
fe4_cswap(z2, z3, swap, z2, z3);
|
||||
swap = b;
|
||||
// Coq transcription of ladderstep formula (called from transcribed loop):
|
||||
// <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZ.v#L89>
|
||||
// <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L131>
|
||||
// x1 != 0 <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L217>
|
||||
// x1 = 0 <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L147>
|
||||
fe4_sub(tmp0, x3, z3);
|
||||
fe4_sub(tmp1, x2, z2);
|
||||
fe4_add(x2, x2, z2);
|
||||
fe4_add(z2, x3, z3);
|
||||
fe4_mul(z3, tmp0, x2);
|
||||
fe4_mul(z2, z2, tmp1);
|
||||
fe4_sq(tmp0, tmp1);
|
||||
fe4_sq(tmp1, x2);
|
||||
fe4_add(x3, z3, z2);
|
||||
fe4_sub(z2, z3, z2);
|
||||
fe4_mul(x2, tmp1, tmp0);
|
||||
fe4_sub(tmp1, tmp1, tmp0);
|
||||
fe4_sq(z2, z2);
|
||||
fe4_scmul(z3, tmp1, 121666);
|
||||
fe4_sq(x3, x3);
|
||||
fe4_add(tmp0, tmp0, z3);
|
||||
fe4_mul(z3, x1, z2);
|
||||
fe4_mul(z2, tmp1, tmp0);
|
||||
}
|
||||
// here pos=-1, so r=e, so to_xz (e*P) === if swap then (x3, z3) else (x2, z2)
|
||||
fe4_cswap(x2, x3, swap, x2, x3);
|
||||
fe4_cswap(z2, z3, swap, z2, z3);
|
||||
|
||||
fe4_invert(z2, z2);
|
||||
fe4_mul(x2, x2, z2);
|
||||
fe4_canon(x2, x2);
|
||||
OPENSSL_memcpy(out, x2, sizeof(fe4));
|
||||
}
|
||||
Reference in New Issue
Block a user