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sp_sm2_x86_64.c
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sp_sm2_x86_64.c
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/* sp.c
*
* Copyright (C) 2006-2024 wolfSSL Inc.
*
* This file is part of wolfSSL.
*
* wolfSSL is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* wolfSSL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA
*/
/* Implementation by Sean Parkinson. */
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <wolfssl/wolfcrypt/settings.h>
#if defined(WOLFSSL_HAVE_SP_RSA) || defined(WOLFSSL_HAVE_SP_DH) || \
defined(WOLFSSL_HAVE_SP_ECC)
#include <wolfssl/wolfcrypt/error-crypt.h>
#include <wolfssl/wolfcrypt/cpuid.h>
#ifdef NO_INLINE
#include <wolfssl/wolfcrypt/misc.h>
#else
#define WOLFSSL_MISC_INCLUDED
#include <wolfcrypt/src/misc.c>
#endif
#ifdef RSA_LOW_MEM
#ifndef WOLFSSL_SP_SMALL
#define WOLFSSL_SP_SMALL
#endif
#endif
#if defined(WOLFSSL_SMALL_STACK) && !defined(WOLFSSL_SP_NO_MALLOC)
#undef WOLFSSL_SP_SMALL_STACK
#define WOLFSSL_SP_SMALL_STACK
#endif
#include <wolfssl/wolfcrypt/sp.h>
#ifdef __IAR_SYSTEMS_ICC__
#define __asm__ asm
#define __volatile__ volatile
#define WOLFSSL_NO_VAR_ASSIGN_REG
#endif /* __IAR_SYSTEMS_ICC__ */
#ifdef __KEIL__
#define __asm__ __asm
#define __volatile__ volatile
#endif
#ifdef WOLFSSL_SP_X86_64_ASM
#define SP_PRINT_NUM(var, name, total, words, bits) \
do { \
int ii; \
fprintf(stderr, name "=0x"); \
for (ii = (((bits) + 63) / 64) - 1; ii >= 0; ii--) \
fprintf(stderr, SP_PRINT_FMT, (var)[ii]); \
fprintf(stderr, "\n"); \
} while (0)
#define SP_PRINT_VAL(var, name) \
fprintf(stderr, name "=0x" SP_PRINT_FMT "\n", var)
#define SP_PRINT_INT(var, name) \
fprintf(stderr, name "=%d\n", var)
#ifdef WOLFSSL_HAVE_SP_ECC
#ifdef WOLFSSL_SP_SM2
/* Point structure to use. */
typedef struct sp_point_256 {
/* X ordinate of point. */
sp_digit x[2 * 4];
/* Y ordinate of point. */
sp_digit y[2 * 4];
/* Z ordinate of point. */
sp_digit z[2 * 4];
/* Indicates point is at infinity. */
int infinity;
} sp_point_256;
/* The modulus (prime) of the curve SM2 P256. */
static const sp_digit p256_sm2_mod[4] = {
0xffffffffffffffffL,0xffffffff00000000L,0xffffffffffffffffL,
0xfffffffeffffffffL
};
/* The Montgomery normalizer for modulus of the curve P256. */
static const sp_digit p256_sm2_norm_mod[4] = {
0x0000000000000001L,0x00000000ffffffffL,0x0000000000000000L,
0x0000000100000000L
};
/* The Montgomery multiplier for modulus of the curve P256. */
static const sp_digit p256_sm2_mp_mod = 0x0000000000000001;
#if defined(WOLFSSL_VALIDATE_ECC_KEYGEN) || defined(HAVE_ECC_SIGN) || \
defined(HAVE_ECC_VERIFY)
/* The order of the curve P256. */
static const sp_digit p256_sm2_order[4] = {
0x53bbf40939d54123L,0x7203df6b21c6052bL,0xffffffffffffffffL,
0xfffffffeffffffffL
};
#endif
/* The order of the curve P256 minus 2. */
static const sp_digit p256_sm2_order2[4] = {
0x53bbf40939d54121L,0x7203df6b21c6052bL,0xffffffffffffffffL,
0xfffffffeffffffffL
};
#if defined(HAVE_ECC_SIGN)
/* The Montgomery normalizer for order of the curve P256. */
static const sp_digit p256_sm2_norm_order[4] = {
0xac440bf6c62abeddL,0x8dfc2094de39fad4L,0x0000000000000000L,
0x0000000100000000L
};
#endif
#if defined(HAVE_ECC_SIGN)
/* The Montgomery multiplier for order of the curve P256. */
static const sp_digit p256_sm2_mp_order = 0x327f9e8872350975L;
#endif
#ifdef WOLFSSL_SP_SMALL
/* The base point of curve P256. */
static const sp_point_256 p256_sm2_base = {
/* X ordinate */
{
0x715a4589334c74c7L,0x8fe30bbff2660be1L,0x5f9904466a39c994L,
0x32c4ae2c1f198119L,
(sp_digit)0, (sp_digit)0, (sp_digit)0, (sp_digit)0
},
/* Y ordinate */
{
0x02df32e52139f0a0L,0xd0a9877cc62a4740L,0x59bdcee36b692153L,
0xbc3736a2f4f6779cL,
(sp_digit)0, (sp_digit)0, (sp_digit)0, (sp_digit)0
},
/* Z ordinate */
{
0x0000000000000001L,0x0000000000000000L,0x0000000000000000L,
0x0000000000000000L,
(sp_digit)0, (sp_digit)0, (sp_digit)0, (sp_digit)0
},
/* infinity */
0
};
#endif /* WOLFSSL_SP_SMALL */
#if defined(HAVE_ECC_CHECK_KEY) || defined(HAVE_COMP_KEY)
static const sp_digit p256_sm2_b[4] = {
0xddbcbd414d940e93L,0xf39789f515ab8f92L,0x4d5a9e4bcf6509a7L,
0x28e9fa9e9d9f5e34L
};
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mul_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b);
#ifdef __cplusplus
}
#endif
#ifdef HAVE_INTEL_AVX2
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mul_avx2_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b);
#ifdef __cplusplus
}
#endif
#endif /* HAVE_INTEL_AVX2 */
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_sqr_sm2_4(sp_digit* r, const sp_digit* a);
#ifdef __cplusplus
}
#endif
#ifdef HAVE_INTEL_AVX2
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_sqr_avx2_sm2_4(sp_digit* r, const sp_digit* a);
#ifdef __cplusplus
}
#endif
#endif /* HAVE_INTEL_AVX2 */
#ifdef __cplusplus
extern "C" {
#endif
extern sp_digit sp_256_add_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern sp_digit sp_256_sub_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern sp_digit sp_256_sub_in_place_sm2_4(sp_digit* a, const sp_digit* b);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern sp_digit sp_256_cond_sub_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b, sp_digit m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern sp_digit sp_256_cond_sub_avx2_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b, sp_digit m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mul_d_sm2_4(sp_digit* r, const sp_digit* a, sp_digit b);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mul_d_avx2_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit b);
#ifdef __cplusplus
}
#endif
#if defined(_WIN64) && !defined(__clang__)
#if _MSC_VER < 1920
#ifdef __cplusplus
extern "C" {
#endif
extern sp_digit div_256_word_asm_4(sp_digit d1, sp_digit d0, sp_digit div);
#ifdef __cplusplus
}
#endif
#endif /* _MSC_VER < 1920 */
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static WC_INLINE sp_digit div_256_word_4(sp_digit d1, sp_digit d0,
sp_digit div)
{
ASSERT_SAVED_VECTOR_REGISTERS();
#if _MSC_VER >= 1920
return _udiv128(d1, d0, div, NULL);
#else
return div_256_word_asm_4(d1, d0, div);
#endif
}
#else
/* Divide the double width number (d1|d0) by the dividend. (d1|d0 / div)
*
* d1 The high order half of the number to divide.
* d0 The low order half of the number to divide.
* div The dividend.
* returns the result of the division.
*/
static WC_INLINE sp_digit div_256_word_4(sp_digit d1, sp_digit d0,
sp_digit div)
{
register sp_digit r asm("rax");
ASSERT_SAVED_VECTOR_REGISTERS();
__asm__ __volatile__ (
"divq %3"
: "=a" (r)
: "d" (d1), "a" (d0), "r" (div)
:
);
return r;
}
#endif /* _WIN64 && !__clang__ */
/* AND m into each word of a and store in r.
*
* r A single precision integer.
* a A single precision integer.
* m Mask to AND against each digit.
*/
static void sp_256_mask_4(sp_digit* r, const sp_digit* a, sp_digit m)
{
#ifdef WOLFSSL_SP_SMALL
int i;
for (i=0; i<4; i++) {
r[i] = a[i] & m;
}
#else
r[0] = a[0] & m;
r[1] = a[1] & m;
r[2] = a[2] & m;
r[3] = a[3] & m;
#endif
}
#ifdef __cplusplus
extern "C" {
#endif
extern sp_int64 sp_256_cmp_sm2_4(const sp_digit* a, const sp_digit* b);
#ifdef __cplusplus
}
#endif
/* Divide d in a and put remainder into r (m*d + r = a)
* m is not calculated as it is not needed at this time.
*
* a Number to be divided.
* d Number to divide with.
* m Multiplier result.
* r Remainder from the division.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_256_div_sm2_4(const sp_digit* a, const sp_digit* d, sp_digit* m,
sp_digit* r)
{
sp_digit t1[8];
sp_digit t2[5];
sp_digit div;
sp_digit r1;
int i;
#ifdef HAVE_INTEL_AVX2
word32 cpuid_flags = cpuid_get_flags();
#endif
ASSERT_SAVED_VECTOR_REGISTERS();
(void)m;
div = d[3];
XMEMCPY(t1, a, sizeof(*t1) * 2 * 4);
r1 = sp_256_cmp_sm2_4(&t1[4], d) >= 0;
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_cond_sub_avx2_sm2_4(&t1[4], &t1[4], d, (sp_digit)0 - r1);
else
#endif
sp_256_cond_sub_sm2_4(&t1[4], &t1[4], d, (sp_digit)0 - r1);
for (i = 3; i >= 0; i--) {
sp_digit mask = (sp_digit)0 - (t1[4 + i] == div);
sp_digit hi = t1[4 + i] + mask;
r1 = div_256_word_4(hi, t1[4 + i - 1], div);
r1 |= mask;
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_mul_d_avx2_sm2_4(t2, d, r1);
else
#endif
sp_256_mul_d_sm2_4(t2, d, r1);
t1[4 + i] += sp_256_sub_in_place_sm2_4(&t1[i], t2);
t1[4 + i] -= t2[4];
sp_256_mask_4(t2, d, t1[4 + i]);
t1[4 + i] += sp_256_add_sm2_4(&t1[i], &t1[i], t2);
sp_256_mask_4(t2, d, t1[4 + i]);
t1[4 + i] += sp_256_add_sm2_4(&t1[i], &t1[i], t2);
}
r1 = sp_256_cmp_sm2_4(t1, d) >= 0;
#ifdef HAVE_INTEL_AVX2
if (IS_INTEL_BMI2(cpuid_flags) && IS_INTEL_ADX(cpuid_flags))
sp_256_cond_sub_avx2_sm2_4(r, t1, d, (sp_digit)0 - r1);
else
#endif
sp_256_cond_sub_sm2_4(r, t1, d, (sp_digit)0 - r1);
return MP_OKAY;
}
/* Reduce a modulo m into r. (r = a mod m)
*
* r A single precision number that is the reduced result.
* a A single precision number that is to be reduced.
* m A single precision number that is the modulus to reduce with.
* returns MP_OKAY indicating success.
*/
static WC_INLINE int sp_256_mod_sm2_4(sp_digit* r, const sp_digit* a,
const sp_digit* m)
{
ASSERT_SAVED_VECTOR_REGISTERS();
return sp_256_div_sm2_4(a, m, NULL, r);
}
/* Multiply a number by Montgomery normalizer mod modulus (prime).
*
* r The resulting Montgomery form number.
* a The number to convert.
* m The modulus (prime).
* returns MEMORY_E when memory allocation fails and MP_OKAY otherwise.
*/
static int sp_256_mod_mul_norm_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* m)
{
sp_256_mul_sm2_4(r, a, p256_sm2_norm_mod);
return sp_256_mod_sm2_4(r, r, m);
}
/* Convert an mp_int to an array of sp_digit.
*
* r A single precision integer.
* size Maximum number of bytes to convert
* a A multi-precision integer.
*/
static void sp_256_from_mp(sp_digit* r, int size, const mp_int* a)
{
#if DIGIT_BIT == 64
int i;
sp_digit j = (sp_digit)0 - (sp_digit)a->used;
int o = 0;
for (i = 0; i < size; i++) {
sp_digit mask = (sp_digit)0 - (j >> 63);
r[i] = a->dp[o] & mask;
j++;
o += (int)(j >> 63);
}
#elif DIGIT_BIT > 64
unsigned int i;
int j = 0;
word32 s = 0;
r[0] = 0;
for (i = 0; i < (unsigned int)a->used && j < size; i++) {
r[j] |= ((sp_digit)a->dp[i] << s);
r[j] &= 0xffffffffffffffffl;
s = 64U - s;
if (j + 1 >= size) {
break;
}
/* lint allow cast of mismatch word32 and mp_digit */
r[++j] = (sp_digit)(a->dp[i] >> s); /*lint !e9033*/
while ((s + 64U) <= (word32)DIGIT_BIT) {
s += 64U;
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= size) {
break;
}
if (s < (word32)DIGIT_BIT) {
/* lint allow cast of mismatch word32 and mp_digit */
r[++j] = (sp_digit)(a->dp[i] >> s); /*lint !e9033*/
}
else {
r[++j] = (sp_digit)0;
}
}
s = (word32)DIGIT_BIT - s;
}
for (j++; j < size; j++) {
r[j] = 0;
}
#else
unsigned int i;
int j = 0;
int s = 0;
r[0] = 0;
for (i = 0; i < (unsigned int)a->used && j < size; i++) {
r[j] |= ((sp_digit)a->dp[i]) << s;
if (s + DIGIT_BIT >= 64) {
r[j] &= 0xffffffffffffffffl;
if (j + 1 >= size) {
break;
}
s = 64 - s;
if (s == DIGIT_BIT) {
r[++j] = 0;
s = 0;
}
else {
r[++j] = a->dp[i] >> s;
s = DIGIT_BIT - s;
}
}
else {
s += DIGIT_BIT;
}
}
for (j++; j < size; j++) {
r[j] = 0;
}
#endif
}
/* Convert a point of type ecc_point to type sp_point_256.
*
* p Point of type sp_point_256 (result).
* pm Point of type ecc_point.
*/
static void sp_256_point_from_ecc_point_4(sp_point_256* p,
const ecc_point* pm)
{
XMEMSET(p->x, 0, sizeof(p->x));
XMEMSET(p->y, 0, sizeof(p->y));
XMEMSET(p->z, 0, sizeof(p->z));
sp_256_from_mp(p->x, 4, pm->x);
sp_256_from_mp(p->y, 4, pm->y);
sp_256_from_mp(p->z, 4, pm->z);
p->infinity = 0;
}
/* Convert an array of sp_digit to an mp_int.
*
* a A single precision integer.
* r A multi-precision integer.
*/
static int sp_256_to_mp(const sp_digit* a, mp_int* r)
{
int err;
err = mp_grow(r, (256 + DIGIT_BIT - 1) / DIGIT_BIT);
if (err == MP_OKAY) { /*lint !e774 case where err is always MP_OKAY*/
#if DIGIT_BIT == 64
XMEMCPY(r->dp, a, sizeof(sp_digit) * 4);
r->used = 4;
mp_clamp(r);
#elif DIGIT_BIT < 64
int i;
int j = 0;
int s = 0;
r->dp[0] = 0;
for (i = 0; i < 4; i++) {
r->dp[j] |= (mp_digit)(a[i] << s);
r->dp[j] &= ((sp_digit)1 << DIGIT_BIT) - 1;
s = DIGIT_BIT - s;
r->dp[++j] = (mp_digit)(a[i] >> s);
while (s + DIGIT_BIT <= 64) {
s += DIGIT_BIT;
r->dp[j++] &= ((sp_digit)1 << DIGIT_BIT) - 1;
if (s == SP_WORD_SIZE) {
r->dp[j] = 0;
}
else {
r->dp[j] = (mp_digit)(a[i] >> s);
}
}
s = 64 - s;
}
r->used = (256 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#else
int i;
int j = 0;
int s = 0;
r->dp[0] = 0;
for (i = 0; i < 4; i++) {
r->dp[j] |= ((mp_digit)a[i]) << s;
if (s + 64 >= DIGIT_BIT) {
#if DIGIT_BIT != 32 && DIGIT_BIT != 64
r->dp[j] &= ((sp_digit)1 << DIGIT_BIT) - 1;
#endif
s = DIGIT_BIT - s;
r->dp[++j] = a[i] >> s;
s = 64 - s;
}
else {
s += 64;
}
}
r->used = (256 + DIGIT_BIT - 1) / DIGIT_BIT;
mp_clamp(r);
#endif
}
return err;
}
/* Convert a point of type sp_point_256 to type ecc_point.
*
* p Point of type sp_point_256.
* pm Point of type ecc_point (result).
* returns MEMORY_E when allocation of memory in ecc_point fails otherwise
* MP_OKAY.
*/
static int sp_256_point_to_ecc_point_4(const sp_point_256* p, ecc_point* pm)
{
int err;
err = sp_256_to_mp(p->x, pm->x);
if (err == MP_OKAY) {
err = sp_256_to_mp(p->y, pm->y);
}
if (err == MP_OKAY) {
err = sp_256_to_mp(p->z, pm->z);
}
return err;
}
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_cond_copy_sm2_4(sp_digit* r, const sp_digit* a, sp_digit m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_mul_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b, const sp_digit* m, sp_digit mp);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_sqr_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* m, sp_digit mp);
#ifdef __cplusplus
}
#endif
#if !defined(WOLFSSL_SP_SMALL)
/* Square the Montgomery form number a number of times. (r = a ^ n mod m)
*
* r Result of squaring.
* a Number to square in Montgomery form.
* n Number of times to square.
* m Modulus (prime).
* mp Montgomery multiplier.
*/
SP_NOINLINE static void sp_256_mont_sqr_n_sm2_4(sp_digit* r,
const sp_digit* a, int n, const sp_digit* m, sp_digit mp)
{
sp_256_mont_sqr_sm2_4(r, a, m, mp);
for (; n > 1; n--) {
sp_256_mont_sqr_sm2_4(r, r, m, mp);
}
}
#endif /* !WOLFSSL_SP_SMALL */
#ifdef WOLFSSL_SP_SMALL
/* Mod-2 for the SM2 P256 curve. */
static const uint64_t p256_sm2_mod_minus_2[4] = {
0xfffffffffffffffdU,0xffffffff00000000U,0xffffffffffffffffU,
0xfffffffeffffffffU
};
#endif /* !WOLFSSL_SP_SMALL */
/* Invert the number, in Montgomery form, modulo the modulus (prime) of the
* P256 curve. (r = 1 / a mod m)
*
* r Inverse result.
* a Number to invert.
* td Temporary data.
*/
static void sp_256_mont_inv_sm2_4(sp_digit* r, const sp_digit* a, sp_digit* td)
{
#ifdef WOLFSSL_SP_SMALL
sp_digit* t = td;
int i;
XMEMCPY(t, a, sizeof(sp_digit) * 4);
for (i=254; i>=0; i--) {
sp_256_mont_sqr_sm2_4(t, t, p256_sm2_mod, p256_sm2_mp_mod);
if (p256_sm2_mod_minus_2[i / 64] & ((sp_digit)1 << (i % 64)))
sp_256_mont_mul_sm2_4(t, t, a, p256_sm2_mod, p256_sm2_mp_mod);
}
XMEMCPY(r, t, sizeof(sp_digit) * 4);
#else
sp_digit* t1 = td;
sp_digit* t2 = td + 2 * 4;
sp_digit* t3 = td + 4 * 4;
sp_digit* t4 = td + 6 * 4;
/* 0x2 */
sp_256_mont_sqr_sm2_4(t1, a, p256_sm2_mod, p256_sm2_mp_mod);
/* 0x3 */
sp_256_mont_mul_sm2_4(t2, t1, a, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xc */
sp_256_mont_sqr_n_sm2_4(t1, t2, 2, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xd */
sp_256_mont_mul_sm2_4(t3, t1, a, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xf */
sp_256_mont_mul_sm2_4(t2, t2, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xf0 */
sp_256_mont_sqr_n_sm2_4(t1, t2, 4, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfd */
sp_256_mont_mul_sm2_4(t3, t3, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xff */
sp_256_mont_mul_sm2_4(t2, t2, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xff00 */
sp_256_mont_sqr_n_sm2_4(t1, t2, 8, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffd */
sp_256_mont_mul_sm2_4(t3, t3, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xffff */
sp_256_mont_mul_sm2_4(t2, t2, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xffff0000 */
sp_256_mont_sqr_n_sm2_4(t1, t2, 16, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffd */
sp_256_mont_mul_sm2_4(t3, t3, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffe */
sp_256_mont_mul_sm2_4(t2, t3, a, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xffffffff */
sp_256_mont_mul_sm2_4(t4, t2, a, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffe00000000 */
sp_256_mont_sqr_n_sm2_4(t2, t2, 32, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffff */
sp_256_mont_mul_sm2_4(t2, t4, t2, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffff00000000 */
sp_256_mont_sqr_n_sm2_4(t1, t2, 32, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffff */
sp_256_mont_mul_sm2_4(r, t4, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffff00000000 */
sp_256_mont_sqr_n_sm2_4(t1, r, 32, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffff */
sp_256_mont_mul_sm2_4(r, t4, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffff00000000 */
sp_256_mont_sqr_n_sm2_4(r, r, 32, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffffffffffff */
sp_256_mont_mul_sm2_4(r, r, t4, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffffffffffff0000000000000000 */
sp_256_mont_sqr_n_sm2_4(r, r, 64, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffff */
sp_256_mont_mul_sm2_4(r, r, t4, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffff00000000 */
sp_256_mont_sqr_n_sm2_4(r, r, 32, p256_sm2_mod, p256_sm2_mp_mod);
/* 0xfffffffeffffffffffffffffffffffffffffffff00000000fffffffffffffffd */
sp_256_mont_mul_sm2_4(r, r, t3, p256_sm2_mod, p256_sm2_mp_mod);
#endif /* WOLFSSL_SP_SMALL */
}
/* Normalize the values in each word to 64.
*
* a Array of sp_digit to normalize.
*/
#define sp_256_norm_4(a)
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_reduce_sm2_4(sp_digit* a, const sp_digit* m, sp_digit mp);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_reduce_order_sm2_4(sp_digit* a, const sp_digit* m, sp_digit mp);
#ifdef __cplusplus
}
#endif
/* Map the Montgomery form projective coordinate point to an affine point.
*
* r Resulting affine coordinate point.
* p Montgomery form projective coordinate point.
* t Temporary ordinate data.
*/
static void sp_256_map_sm2_4(sp_point_256* r, const sp_point_256* p,
sp_digit* t)
{
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
sp_int64 n;
sp_256_mont_inv_sm2_4(t1, p->z, t + 2*4);
sp_256_mont_sqr_sm2_4(t2, t1, p256_sm2_mod, p256_sm2_mp_mod);
sp_256_mont_mul_sm2_4(t1, t2, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* x /= z^2 */
sp_256_mont_mul_sm2_4(r->x, p->x, t2, p256_sm2_mod, p256_sm2_mp_mod);
XMEMSET(r->x + 4, 0, sizeof(sp_digit) * 4U);
sp_256_mont_reduce_sm2_4(r->x, p256_sm2_mod, p256_sm2_mp_mod);
/* Reduce x to less than modulus */
n = sp_256_cmp_sm2_4(r->x, p256_sm2_mod);
sp_256_cond_sub_sm2_4(r->x, r->x, p256_sm2_mod, (sp_digit)~(n >> 63));
sp_256_norm_4(r->x);
/* y /= z^3 */
sp_256_mont_mul_sm2_4(r->y, p->y, t1, p256_sm2_mod, p256_sm2_mp_mod);
XMEMSET(r->y + 4, 0, sizeof(sp_digit) * 4U);
sp_256_mont_reduce_sm2_4(r->y, p256_sm2_mod, p256_sm2_mp_mod);
/* Reduce y to less than modulus */
n = sp_256_cmp_sm2_4(r->y, p256_sm2_mod);
sp_256_cond_sub_sm2_4(r->y, r->y, p256_sm2_mod, (sp_digit)~(n >> 63));
sp_256_norm_4(r->y);
XMEMSET(r->z, 0, sizeof(r->z) / 2);
r->z[0] = 1;
}
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_add_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b, const sp_digit* m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_dbl_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_tpl_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_sub_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* b, const sp_digit* m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_div2_sm2_4(sp_digit* r, const sp_digit* a, const sp_digit* m);
#ifdef __cplusplus
}
#endif
#ifdef __cplusplus
extern "C" {
#endif
extern void sp_256_mont_rsb_sub_dbl_sm2_4(sp_digit* r, const sp_digit* a, sp_digit* b, const sp_digit* m);
#ifdef __cplusplus
}
#endif
/* Double the Montgomery form projective point p.
*
* r Result of doubling point.
* p Point to double.
* t Temporary ordinate data.
*/
static void sp_256_proj_point_dbl_sm2_4(sp_point_256* r, const sp_point_256* p,
sp_digit* t)
{
sp_digit* t1 = t;
sp_digit* t2 = t + 2*4;
sp_digit* x;
sp_digit* y;
sp_digit* z;
x = r->x;
y = r->y;
z = r->z;
/* Put infinity into result. */
if (r != p) {
r->infinity = p->infinity;
}
/* T1 = Z * Z */
sp_256_mont_sqr_sm2_4(t1, p->z, p256_sm2_mod, p256_sm2_mp_mod);
/* Z = Y * Z */
sp_256_mont_mul_sm2_4(z, p->y, p->z, p256_sm2_mod, p256_sm2_mp_mod);
/* Z = 2Z */
sp_256_mont_dbl_sm2_4(z, z, p256_sm2_mod);
/* T2 = X - T1 */
sp_256_mont_sub_sm2_4(t2, p->x, t1, p256_sm2_mod);
/* T1 = X + T1 */
sp_256_mont_add_sm2_4(t1, p->x, t1, p256_sm2_mod);
/* T2 = T1 * T2 */
sp_256_mont_mul_sm2_4(t2, t1, t2, p256_sm2_mod, p256_sm2_mp_mod);
/* T1 = 3T2 */
sp_256_mont_tpl_sm2_4(t1, t2, p256_sm2_mod);
/* Y = 2Y */
sp_256_mont_dbl_sm2_4(y, p->y, p256_sm2_mod);
/* Y = Y * Y */
sp_256_mont_sqr_sm2_4(y, y, p256_sm2_mod, p256_sm2_mp_mod);
/* T2 = Y * Y */
sp_256_mont_sqr_sm2_4(t2, y, p256_sm2_mod, p256_sm2_mp_mod);
/* T2 = T2/2 */
sp_256_mont_div2_sm2_4(t2, t2, p256_sm2_mod);
/* Y = Y * X */
sp_256_mont_mul_sm2_4(y, y, p->x, p256_sm2_mod, p256_sm2_mp_mod);
/* X = T1 * T1 */
sp_256_mont_sqr_sm2_4(x, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* X = X - 2*Y */
/* Y = Y - X */
sp_256_mont_rsb_sub_dbl_sm2_4(x, x, y, p256_sm2_mod);
/* Y = Y * T1 */
sp_256_mont_mul_sm2_4(y, y, t1, p256_sm2_mod, p256_sm2_mp_mod);
/* Y = Y - T2 */
sp_256_mont_sub_sm2_4(y, y, t2, p256_sm2_mod);
}
#ifdef WOLFSSL_SP_NONBLOCK
typedef struct sp_256_proj_point_dbl_4_ctx {
int state;
sp_digit* t1;
sp_digit* t2;
sp_digit* x;
sp_digit* y;
sp_digit* z;
} sp_256_proj_point_dbl_4_ctx;
/* Double the Montgomery form projective point p.
*
* r Result of doubling point.
* p Point to double.
* t Temporary ordinate data.
*/
static int sp_256_proj_point_dbl_sm2_4_nb(sp_ecc_ctx_t* sp_ctx, sp_point_256* r,
const sp_point_256* p, sp_digit* t)
{
int err = FP_WOULDBLOCK;
sp_256_proj_point_dbl_4_ctx* ctx = (sp_256_proj_point_dbl_sm2_4_ctx*)sp_ctx->data;
typedef char ctx_size_test[sizeof(sp_256_proj_point_dbl_4_ctx) >= sizeof(*sp_ctx) ? -1 : 1];
(void)sizeof(ctx_size_test);
switch (ctx->state) {
case 0:
ctx->t1 = t;
ctx->t2 = t + 2*4;
ctx->x = r->x;
ctx->y = r->y;
ctx->z = r->z;
/* Put infinity into result. */
if (r != p) {
r->infinity = p->infinity;
}
ctx->state = 1;
break;
case 1:
/* T1 = Z * Z */
sp_256_mont_sqr_sm2_4(ctx->t1, p->z, p256_sm2_mod, p256_sm2_mp_mod);
ctx->state = 2;
break;
case 2:
/* Z = Y * Z */
sp_256_mont_mul_sm2_4(ctx->z, p->y, p->z, p256_sm2_mod, p256_sm2_mp_mod);
ctx->state = 3;
break;
case 3:
/* Z = 2Z */
sp_256_mont_dbl_sm2_4(ctx->z, ctx->z, p256_sm2_mod);
ctx->state = 4;
break;
case 4:
/* T2 = X - T1 */
sp_256_mont_sub_sm2_4(ctx->t2, p->x, ctx->t1, p256_sm2_mod);
ctx->state = 5;
break;
case 5:
/* T1 = X + T1 */
sp_256_mont_add_sm2_4(ctx->t1, p->x, ctx->t1, p256_sm2_mod);
ctx->state = 6;
break;
case 6:
/* T2 = T1 * T2 */
sp_256_mont_mul_sm2_4(ctx->t2, ctx->t1, ctx->t2, p256_sm2_mod, p256_sm2_mp_mod);
ctx->state = 7;
break;
case 7:
/* T1 = 3T2 */
sp_256_mont_tpl_sm2_4(ctx->t1, ctx->t2, p256_sm2_mod);
ctx->state = 8;
break;
case 8:
/* Y = 2Y */
sp_256_mont_dbl_sm2_4(ctx->y, p->y, p256_sm2_mod);
ctx->state = 9;
break;
case 9:
/* Y = Y * Y */
sp_256_mont_sqr_sm2_4(ctx->y, ctx->y, p256_sm2_mod, p256_sm2_mp_mod);
ctx->state = 10;
break;
case 10:
/* T2 = Y * Y */
sp_256_mont_sqr_sm2_4(ctx->t2, ctx->y, p256_sm2_mod, p256_sm2_mp_mod);
ctx->state = 11;
break;
case 11:
/* T2 = T2/2 */
sp_256_mont_div2_sm2_4(ctx->t2, ctx->t2, p256_sm2_mod);
ctx->state = 12;
break;
case 12:
/* Y = Y * X */
sp_256_mont_mul_sm2_4(ctx->y, ctx->y, p->x, p256_sm2_mod, p256_sm2_mp_mod);
ctx->state = 13;
break;
case 13:
/* X = T1 * T1 */