| /* |
| * Copyright 2002-2024 The OpenSSL Project Authors. All Rights Reserved. |
| * |
| * Licensed under the Apache License 2.0 (the "License"). You may not use |
| * this file except in compliance with the License. You can obtain a copy |
| * in the file LICENSE in the source distribution or at |
| * https://www.openssl.org/source/license.html |
| */ |
| |
| #include "bn_local.h" |
| #include "internal/cryptlib.h" |
| |
| #define BN_NIST_192_TOP (192 + BN_BITS2 - 1) / BN_BITS2 |
| #define BN_NIST_224_TOP (224 + BN_BITS2 - 1) / BN_BITS2 |
| #define BN_NIST_256_TOP (256 + BN_BITS2 - 1) / BN_BITS2 |
| #define BN_NIST_384_TOP (384 + BN_BITS2 - 1) / BN_BITS2 |
| #define BN_NIST_521_TOP (521 + BN_BITS2 - 1) / BN_BITS2 |
| |
| /* pre-computed tables are "carry-less" values of modulus*(i+1) */ |
| #if BN_BITS2 == 64 |
| static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { |
| { 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL }, |
| { 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL }, |
| { 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL } |
| }; |
| |
| static const BN_ULONG _nist_p_192_sqr[] = { |
| 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL, |
| 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL |
| }; |
| |
| static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { |
| { 0x0000000000000001ULL, 0xFFFFFFFF00000000ULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL }, |
| { 0x0000000000000002ULL, 0xFFFFFFFE00000000ULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL } /* this one is |
| * "carry-full" */ |
| }; |
| |
| static const BN_ULONG _nist_p_224_sqr[] = { |
| 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL, |
| 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL, |
| 0xFFFFFFFFFFFFFFFFULL |
| }; |
| |
| static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { |
| { 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL, |
| 0x0000000000000000ULL, 0xFFFFFFFF00000001ULL }, |
| { 0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL, |
| 0x0000000000000000ULL, 0xFFFFFFFE00000002ULL }, |
| { 0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL, |
| 0x0000000000000000ULL, 0xFFFFFFFD00000003ULL }, |
| { 0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL, |
| 0x0000000000000000ULL, 0xFFFFFFFC00000004ULL }, |
| { 0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL, |
| 0x0000000000000000ULL, 0xFFFFFFFB00000005ULL }, |
| }; |
| |
| static const BN_ULONG _nist_p_256_sqr[] = { |
| 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL, |
| 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL, |
| 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL |
| }; |
| |
| static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { |
| { 0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL, 0xFFFFFFFFFFFFFFFEULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }, |
| { 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }, |
| { 0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL, 0xFFFFFFFFFFFFFFFCULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }, |
| { 0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL, 0xFFFFFFFFFFFFFFFBULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }, |
| { 0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL, 0xFFFFFFFFFFFFFFFAULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }, |
| }; |
| |
| static const BN_ULONG _nist_p_384_sqr[] = { |
| 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL, |
| 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL, |
| 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL |
| }; |
| |
| static const BN_ULONG _nist_p_521[] = { |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
| 0x00000000000001FFULL |
| }; |
| |
| static const BN_ULONG _nist_p_521_sqr[] = { |
| 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, |
| 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, |
| 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, |
| 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL |
| }; |
| #elif BN_BITS2 == 32 |
| static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { |
| { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF } |
| }; |
| |
| static const BN_ULONG _nist_p_192_sqr[] = { |
| 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, |
| 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
| }; |
| |
| static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { |
| { 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF } |
| }; |
| |
| static const BN_ULONG _nist_p_224_sqr[] = { |
| 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002, |
| 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF |
| }; |
| |
| static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { |
| { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, |
| 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF }, |
| { 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001, |
| 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE }, |
| { 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002, |
| 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD }, |
| { 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003, |
| 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC }, |
| { 0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004, |
| 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB }, |
| }; |
| |
| static const BN_ULONG _nist_p_256_sqr[] = { |
| 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001, |
| 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001, |
| 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE |
| }; |
| |
| static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { |
| { 0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFC, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, 0xFFFFFFFB, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| { 0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, 0xFFFFFFFA, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF }, |
| }; |
| |
| static const BN_ULONG _nist_p_384_sqr[] = { |
| 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE, |
| 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000, |
| 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF |
| }; |
| |
| static const BN_ULONG _nist_p_521[] = { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0x000001FF }; |
| |
| static const BN_ULONG _nist_p_521_sqr[] = { |
| 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, |
| 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, |
| 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, |
| 0xFFFFFFFF, 0xFFFFFFFF, 0x0003FFFF |
| }; |
| #else |
| #error "unsupported BN_BITS2" |
| #endif |
| |
| static const BIGNUM ossl_bignum_nist_p_192 = { |
| (BN_ULONG *)_nist_p_192[0], |
| BN_NIST_192_TOP, |
| BN_NIST_192_TOP, |
| 0, |
| BN_FLG_STATIC_DATA |
| }; |
| |
| static const BIGNUM ossl_bignum_nist_p_224 = { |
| (BN_ULONG *)_nist_p_224[0], |
| BN_NIST_224_TOP, |
| BN_NIST_224_TOP, |
| 0, |
| BN_FLG_STATIC_DATA |
| }; |
| |
| static const BIGNUM ossl_bignum_nist_p_256 = { |
| (BN_ULONG *)_nist_p_256[0], |
| BN_NIST_256_TOP, |
| BN_NIST_256_TOP, |
| 0, |
| BN_FLG_STATIC_DATA |
| }; |
| |
| static const BIGNUM ossl_bignum_nist_p_384 = { |
| (BN_ULONG *)_nist_p_384[0], |
| BN_NIST_384_TOP, |
| BN_NIST_384_TOP, |
| 0, |
| BN_FLG_STATIC_DATA |
| }; |
| |
| static const BIGNUM ossl_bignum_nist_p_521 = { |
| (BN_ULONG *)_nist_p_521, |
| BN_NIST_521_TOP, |
| BN_NIST_521_TOP, |
| 0, |
| BN_FLG_STATIC_DATA |
| }; |
| |
| const BIGNUM *BN_get0_nist_prime_192(void) |
| { |
| return &ossl_bignum_nist_p_192; |
| } |
| |
| const BIGNUM *BN_get0_nist_prime_224(void) |
| { |
| return &ossl_bignum_nist_p_224; |
| } |
| |
| const BIGNUM *BN_get0_nist_prime_256(void) |
| { |
| return &ossl_bignum_nist_p_256; |
| } |
| |
| const BIGNUM *BN_get0_nist_prime_384(void) |
| { |
| return &ossl_bignum_nist_p_384; |
| } |
| |
| const BIGNUM *BN_get0_nist_prime_521(void) |
| { |
| return &ossl_bignum_nist_p_521; |
| } |
| |
| /* |
| * To avoid more recent compilers (specifically clang-14) from treating this |
| * code as a violation of the strict aliasing conditions and omitting it, this |
| * cannot be declared as a function. Moreover, the dst parameter cannot be |
| * cached in a local since this no longer references the union and again falls |
| * foul of the strict aliasing criteria. Refer to #18225 for the initial |
| * diagnostics and llvm/llvm-project#55255 for the later discussions with the |
| * LLVM developers. The problem boils down to if an array in the union is |
| * converted to a pointer or if it is used directly. |
| * |
| * This function was inlined regardless, so there is no space cost to be |
| * paid for making it a macro. |
| */ |
| #define nist_cp_bn_0(dst, src_in, top, max) \ |
| { \ |
| int ii; \ |
| const BN_ULONG *src = src_in; \ |
| \ |
| for (ii = 0; ii < top; ii++) \ |
| (dst)[ii] = src[ii]; \ |
| for (; ii < max; ii++) \ |
| (dst)[ii] = 0; \ |
| } |
| |
| static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top) |
| { |
| int i; |
| |
| for (i = 0; i < top; i++) |
| dst[i] = src[i]; |
| } |
| |
| #if BN_BITS2 == 64 |
| #define bn_cp_64(to, n, from, m) (to)[n] = (m >= 0) ? ((from)[m]) : 0; |
| #define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; |
| /* |
| * two following macros are implemented under assumption that they |
| * are called in a sequence with *ascending* n, i.e. as they are... |
| */ |
| #define bn_cp_32_naked(to, n, from, m) (((n) & 1) ? (to[(n) / 2] |= ((m) & 1) ? (from[(m) / 2] & BN_MASK2h) : (from[(m) / 2] << 32)) \ |
| : (to[(n) / 2] = ((m) & 1) ? (from[(m) / 2] >> 32) : (from[(m) / 2] & BN_MASK2l))) |
| #define bn_32_set_0(to, n) (((n) & 1) ? (to[(n) / 2] &= BN_MASK2l) : (to[(n) / 2] = 0)); |
| #define bn_cp_32(to, n, from, m) ((m) >= 0) ? bn_cp_32_naked(to, n, from, m) : bn_32_set_0(to, n) |
| #if defined(L_ENDIAN) |
| #if defined(__arch64__) |
| #define NIST_INT64 long |
| #else |
| #define NIST_INT64 long long |
| #endif |
| #endif |
| #else |
| #define bn_cp_64(to, n, from, m) \ |
| { \ |
| bn_cp_32(to, (n) * 2, from, (m) * 2); \ |
| bn_cp_32(to, (n) * 2 + 1, from, (m) * 2 + 1); \ |
| } |
| #define bn_64_set_0(to, n) \ |
| { \ |
| bn_32_set_0(to, (n) * 2); \ |
| bn_32_set_0(to, (n) * 2 + 1); \ |
| } |
| #define bn_cp_32(to, n, from, m) (to)[n] = (m >= 0) ? ((from)[m]) : 0; |
| #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; |
| #if defined(_WIN32) && !defined(__GNUC__) |
| #define NIST_INT64 __int64 |
| #elif defined(BN_LLONG) |
| #define NIST_INT64 long long |
| #endif |
| #endif /* BN_BITS2 != 64 */ |
| |
| #ifdef NIST_INT64 |
| /* Helpers to load/store a 32-bit word (uint32_t) from/into a memory |
| * location and avoid potential aliasing issue. */ |
| static ossl_inline uint32_t load_u32(const void *ptr) |
| { |
| uint32_t tmp; |
| |
| memcpy(&tmp, ptr, sizeof(tmp)); |
| return tmp; |
| } |
| |
| static ossl_inline void store_lo32(void *ptr, NIST_INT64 val) |
| { |
| /* A cast is needed for big-endian system: on a 32-bit BE system |
| * NIST_INT64 may be defined as well if the compiler supports 64-bit |
| * long long. */ |
| uint32_t tmp = (uint32_t)val; |
| |
| memcpy(ptr, &tmp, sizeof(tmp)); |
| } |
| #endif /* NIST_INT64 */ |
| |
| #define nist_set_192(to, from, a1, a2, a3) \ |
| { \ |
| bn_cp_64(to, 0, from, (a3) - 3) \ |
| bn_cp_64(to, 1, from, (a2) - 3) \ |
| bn_cp_64(to, 2, from, (a1) - 3) \ |
| } |
| |
| int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int top = a->top, i; |
| int carry; |
| register BN_ULONG *r_d, *a_d = a->d; |
| union { |
| BN_ULONG bn[BN_NIST_192_TOP]; |
| unsigned int ui[BN_NIST_192_TOP * sizeof(BN_ULONG) / sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_192_TOP], *res; |
| static const BIGNUM ossl_bignum_nist_p_192_sqr = { |
| (BN_ULONG *)_nist_p_192_sqr, |
| OSSL_NELEM(_nist_p_192_sqr), |
| OSSL_NELEM(_nist_p_192_sqr), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &ossl_bignum_nist_p_192; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &ossl_bignum_nist_p_192_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_192_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_192_TOP); |
| } else |
| r_d = a_d; |
| |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, |
| BN_NIST_192_TOP); |
| |
| #if defined(NIST_INT64) |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = load_u32(&rp[0]); |
| acc += bp[3 * 2 - 6]; |
| acc += bp[5 * 2 - 6]; |
| store_lo32(&rp[0], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[1]); |
| acc += bp[3 * 2 - 5]; |
| acc += bp[5 * 2 - 5]; |
| store_lo32(&rp[1], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[2]); |
| acc += bp[3 * 2 - 6]; |
| acc += bp[4 * 2 - 6]; |
| acc += bp[5 * 2 - 6]; |
| store_lo32(&rp[2], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[3]); |
| acc += bp[3 * 2 - 5]; |
| acc += bp[4 * 2 - 5]; |
| acc += bp[5 * 2 - 5]; |
| store_lo32(&rp[3], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[4]); |
| acc += bp[4 * 2 - 6]; |
| acc += bp[5 * 2 - 6]; |
| store_lo32(&rp[4], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[5]); |
| acc += bp[4 * 2 - 5]; |
| acc += bp[5 * 2 - 5]; |
| store_lo32(&rp[5], acc); |
| |
| carry = (int)(acc >> 32); |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_192_TOP]; |
| |
| nist_set_192(t_d, buf.bn, 0, 3, 3); |
| carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
| nist_set_192(t_d, buf.bn, 4, 4, 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
| nist_set_192(t_d, buf.bn, 5, 5, 5) |
| carry |
| += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
| } |
| #endif |
| if (carry > 0) |
| carry = (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1], |
| BN_NIST_192_TOP); |
| else |
| carry = 1; |
| |
| /* |
| * we need 'if (carry==0 || result>=modulus) result-=modulus;' |
| * as comparison implies subtraction, we can write |
| * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;' |
| * this is what happens below, but without explicit if:-) a. |
| */ |
| res = (bn_sub_words(c_d, r_d, _nist_p_192[0], BN_NIST_192_TOP) && carry) |
| ? r_d |
| : c_d; |
| nist_cp_bn(r_d, res, BN_NIST_192_TOP); |
| r->top = BN_NIST_192_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *, const BN_ULONG *, |
| const BN_ULONG *, int); |
| |
| #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ |
| { \ |
| bn_cp_32(to, 0, from, (a7) - 7) \ |
| bn_cp_32(to, 1, from, (a6) - 7) \ |
| bn_cp_32(to, 2, from, (a5) - 7) \ |
| bn_cp_32(to, 3, from, (a4) - 7) \ |
| bn_cp_32(to, 4, from, (a3) - 7) \ |
| bn_cp_32(to, 5, from, (a2) - 7) \ |
| bn_cp_32(to, 6, from, (a1) - 7) \ |
| } |
| |
| int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int top = a->top, i; |
| int carry; |
| BN_ULONG *r_d, *a_d = a->d; |
| union { |
| BN_ULONG bn[BN_NIST_224_TOP]; |
| unsigned int ui[BN_NIST_224_TOP * sizeof(BN_ULONG) / sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_224_TOP], *res; |
| bn_addsub_f adjust; |
| static const BIGNUM ossl_bignum_nist_p_224_sqr = { |
| (BN_ULONG *)_nist_p_224_sqr, |
| OSSL_NELEM(_nist_p_224_sqr), |
| OSSL_NELEM(_nist_p_224_sqr), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &ossl_bignum_nist_p_224; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &ossl_bignum_nist_p_224_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_224_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_224_TOP); |
| } else |
| r_d = a_d; |
| |
| #if BN_BITS2 == 64 |
| /* copy upper 256 bits of 448 bit number ... */ |
| nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1), |
| top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP); |
| /* ... and right shift by 32 to obtain upper 224 bits */ |
| nist_set_224(buf.bn, c_d, 14, 13, 12, 11, 10, 9, 8); |
| /* truncate lower part to 224 bits too */ |
| r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l; |
| #else |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, |
| BN_NIST_224_TOP); |
| #endif |
| |
| #if defined(NIST_INT64) && BN_BITS2 != 64 |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = rp[0]; |
| acc -= bp[7 - 7]; |
| acc -= bp[11 - 7]; |
| rp[0] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[1]; |
| acc -= bp[8 - 7]; |
| acc -= bp[12 - 7]; |
| rp[1] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[2]; |
| acc -= bp[9 - 7]; |
| acc -= bp[13 - 7]; |
| rp[2] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[3]; |
| acc += bp[7 - 7]; |
| acc += bp[11 - 7]; |
| acc -= bp[10 - 7]; |
| rp[3] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[4]; |
| acc += bp[8 - 7]; |
| acc += bp[12 - 7]; |
| acc -= bp[11 - 7]; |
| rp[4] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[5]; |
| acc += bp[9 - 7]; |
| acc += bp[13 - 7]; |
| acc -= bp[12 - 7]; |
| rp[5] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[6]; |
| acc += bp[10 - 7]; |
| acc -= bp[13 - 7]; |
| rp[6] = (unsigned int)acc; |
| |
| carry = (int)(acc >> 32); |
| #if BN_BITS2 == 64 |
| rp[7] = carry; |
| #endif |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_224_TOP]; |
| |
| nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0); |
| carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| |
| #if BN_BITS2 == 64 |
| carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32); |
| #endif |
| } |
| #endif |
| adjust = bn_sub_words; |
| if (carry > 0) { |
| carry = (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1], |
| BN_NIST_224_TOP); |
| #if BN_BITS2 == 64 |
| carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1; |
| #endif |
| } else if (carry < 0) { |
| /* |
| * it's a bit more complicated logic in this case. if bn_add_words |
| * yields no carry, then result has to be adjusted by unconditionally |
| * *adding* the modulus. but if it does, then result has to be |
| * compared to the modulus and conditionally adjusted by |
| * *subtracting* the latter. |
| */ |
| carry = (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1], |
| BN_NIST_224_TOP); |
| adjust = carry ? bn_sub_words : bn_add_words; |
| } else |
| carry = 1; |
| |
| /* otherwise it's effectively same as in BN_nist_mod_192... */ |
| res = ((*adjust)(c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP) && carry) |
| ? r_d |
| : c_d; |
| nist_cp_bn(r_d, res, BN_NIST_224_TOP); |
| r->top = BN_NIST_224_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ |
| { \ |
| bn_cp_32(to, 0, from, (a8) - 8) \ |
| bn_cp_32(to, 1, from, (a7) - 8) \ |
| bn_cp_32(to, 2, from, (a6) - 8) \ |
| bn_cp_32(to, 3, from, (a5) - 8) \ |
| bn_cp_32(to, 4, from, (a4) - 8) \ |
| bn_cp_32(to, 5, from, (a3) - 8) \ |
| bn_cp_32(to, 6, from, (a2) - 8) \ |
| bn_cp_32(to, 7, from, (a1) - 8) \ |
| } |
| |
| int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int i, top = a->top; |
| int carry = 0; |
| register BN_ULONG *a_d = a->d, *r_d; |
| union { |
| BN_ULONG bn[BN_NIST_256_TOP]; |
| unsigned int ui[BN_NIST_256_TOP * sizeof(BN_ULONG) / sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_256_TOP], *res; |
| bn_addsub_f adjust; |
| static const BIGNUM ossl_bignum_nist_p_256_sqr = { |
| (BN_ULONG *)_nist_p_256_sqr, |
| OSSL_NELEM(_nist_p_256_sqr), |
| OSSL_NELEM(_nist_p_256_sqr), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &ossl_bignum_nist_p_256; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &ossl_bignum_nist_p_256_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_256_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_256_TOP); |
| } else |
| r_d = a_d; |
| |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, |
| BN_NIST_256_TOP); |
| |
| #if defined(NIST_INT64) |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = load_u32(&rp[0]); |
| acc += bp[8 - 8]; |
| acc += bp[9 - 8]; |
| acc -= bp[11 - 8]; |
| acc -= bp[12 - 8]; |
| acc -= bp[13 - 8]; |
| acc -= bp[14 - 8]; |
| store_lo32(&rp[0], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[1]); |
| acc += bp[9 - 8]; |
| acc += bp[10 - 8]; |
| acc -= bp[12 - 8]; |
| acc -= bp[13 - 8]; |
| acc -= bp[14 - 8]; |
| acc -= bp[15 - 8]; |
| store_lo32(&rp[1], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[2]); |
| acc += bp[10 - 8]; |
| acc += bp[11 - 8]; |
| acc -= bp[13 - 8]; |
| acc -= bp[14 - 8]; |
| acc -= bp[15 - 8]; |
| store_lo32(&rp[2], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[3]); |
| acc += bp[11 - 8]; |
| acc += bp[11 - 8]; |
| acc += bp[12 - 8]; |
| acc += bp[12 - 8]; |
| acc += bp[13 - 8]; |
| acc -= bp[15 - 8]; |
| acc -= bp[8 - 8]; |
| acc -= bp[9 - 8]; |
| store_lo32(&rp[3], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[4]); |
| acc += bp[12 - 8]; |
| acc += bp[12 - 8]; |
| acc += bp[13 - 8]; |
| acc += bp[13 - 8]; |
| acc += bp[14 - 8]; |
| acc -= bp[9 - 8]; |
| acc -= bp[10 - 8]; |
| store_lo32(&rp[4], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[5]); |
| acc += bp[13 - 8]; |
| acc += bp[13 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[15 - 8]; |
| acc -= bp[10 - 8]; |
| acc -= bp[11 - 8]; |
| store_lo32(&rp[5], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[6]); |
| acc += bp[14 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[13 - 8]; |
| acc -= bp[8 - 8]; |
| acc -= bp[9 - 8]; |
| store_lo32(&rp[6], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[7]); |
| acc += bp[15 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[8 - 8]; |
| acc -= bp[10 - 8]; |
| acc -= bp[11 - 8]; |
| acc -= bp[12 - 8]; |
| acc -= bp[13 - 8]; |
| store_lo32(&rp[7], acc); |
| |
| carry = (int)(acc >> 32); |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_256_TOP]; |
| |
| /* |
| * S1 |
| */ |
| nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0); |
| /* |
| * S2 |
| */ |
| nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0); |
| carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP); |
| /* left shift */ |
| { |
| register BN_ULONG *ap, t, c; |
| ap = t_d; |
| c = 0; |
| for (i = BN_NIST_256_TOP; i != 0; --i) { |
| t = *ap; |
| *(ap++) = ((t << 1) | c) & BN_MASK2; |
| c = (t & BN_TBIT) ? 1 : 0; |
| } |
| carry <<= 1; |
| carry |= c; |
| } |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * S3 |
| */ |
| nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * S4 |
| */ |
| nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D1 |
| */ |
| nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D2 |
| */ |
| nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D3 |
| */ |
| nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D4 |
| */ |
| nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| } |
| #endif |
| /* see BN_nist_mod_224 for explanation */ |
| adjust = bn_sub_words; |
| if (carry > 0) |
| carry = (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1], |
| BN_NIST_256_TOP); |
| else if (carry < 0) { |
| carry = (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1], |
| BN_NIST_256_TOP); |
| adjust = carry ? bn_sub_words : bn_add_words; |
| } else |
| carry = 1; |
| |
| res = ((*adjust)(c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP) && carry) |
| ? r_d |
| : c_d; |
| nist_cp_bn(r_d, res, BN_NIST_256_TOP); |
| r->top = BN_NIST_256_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| #define nist_set_384(to, from, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12) \ |
| { \ |
| bn_cp_32(to, 0, from, (a12) - 12) \ |
| bn_cp_32(to, 1, from, (a11) - 12) \ |
| bn_cp_32(to, 2, from, (a10) - 12) \ |
| bn_cp_32(to, 3, from, (a9) - 12) \ |
| bn_cp_32(to, 4, from, (a8) - 12) \ |
| bn_cp_32(to, 5, from, (a7) - 12) \ |
| bn_cp_32(to, 6, from, (a6) - 12) \ |
| bn_cp_32(to, 7, from, (a5) - 12) \ |
| bn_cp_32(to, 8, from, (a4) - 12) \ |
| bn_cp_32(to, 9, from, (a3) - 12) \ |
| bn_cp_32(to, 10, from, (a2) - 12) \ |
| bn_cp_32(to, 11, from, (a1) - 12) \ |
| } |
| |
| int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int i, top = a->top; |
| int carry = 0; |
| register BN_ULONG *r_d, *a_d = a->d; |
| union { |
| BN_ULONG bn[BN_NIST_384_TOP]; |
| unsigned int ui[BN_NIST_384_TOP * sizeof(BN_ULONG) / sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_384_TOP], *res; |
| bn_addsub_f adjust; |
| static const BIGNUM ossl_bignum_nist_p_384_sqr = { |
| (BN_ULONG *)_nist_p_384_sqr, |
| OSSL_NELEM(_nist_p_384_sqr), |
| OSSL_NELEM(_nist_p_384_sqr), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &ossl_bignum_nist_p_384; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &ossl_bignum_nist_p_384_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_384_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_384_TOP); |
| } else |
| r_d = a_d; |
| |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, |
| BN_NIST_384_TOP); |
| |
| #if defined(NIST_INT64) |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = load_u32(&rp[0]); |
| acc += bp[12 - 12]; |
| acc += bp[21 - 12]; |
| acc += bp[20 - 12]; |
| acc -= bp[23 - 12]; |
| store_lo32(&rp[0], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[1]); |
| acc += bp[13 - 12]; |
| acc += bp[22 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[12 - 12]; |
| acc -= bp[20 - 12]; |
| store_lo32(&rp[1], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[2]); |
| acc += bp[14 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[13 - 12]; |
| acc -= bp[21 - 12]; |
| store_lo32(&rp[2], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[3]); |
| acc += bp[15 - 12]; |
| acc += bp[12 - 12]; |
| acc += bp[20 - 12]; |
| acc += bp[21 - 12]; |
| acc -= bp[14 - 12]; |
| acc -= bp[22 - 12]; |
| acc -= bp[23 - 12]; |
| store_lo32(&rp[3], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[4]); |
| acc += bp[21 - 12]; |
| acc += bp[21 - 12]; |
| acc += bp[16 - 12]; |
| acc += bp[13 - 12]; |
| acc += bp[12 - 12]; |
| acc += bp[20 - 12]; |
| acc += bp[22 - 12]; |
| acc -= bp[15 - 12]; |
| acc -= bp[23 - 12]; |
| acc -= bp[23 - 12]; |
| store_lo32(&rp[4], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[5]); |
| acc += bp[22 - 12]; |
| acc += bp[22 - 12]; |
| acc += bp[17 - 12]; |
| acc += bp[14 - 12]; |
| acc += bp[13 - 12]; |
| acc += bp[21 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[16 - 12]; |
| store_lo32(&rp[5], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[6]); |
| acc += bp[23 - 12]; |
| acc += bp[23 - 12]; |
| acc += bp[18 - 12]; |
| acc += bp[15 - 12]; |
| acc += bp[14 - 12]; |
| acc += bp[22 - 12]; |
| acc -= bp[17 - 12]; |
| store_lo32(&rp[6], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[7]); |
| acc += bp[19 - 12]; |
| acc += bp[16 - 12]; |
| acc += bp[15 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[18 - 12]; |
| store_lo32(&rp[7], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[8]); |
| acc += bp[20 - 12]; |
| acc += bp[17 - 12]; |
| acc += bp[16 - 12]; |
| acc -= bp[19 - 12]; |
| store_lo32(&rp[8], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[9]); |
| acc += bp[21 - 12]; |
| acc += bp[18 - 12]; |
| acc += bp[17 - 12]; |
| acc -= bp[20 - 12]; |
| store_lo32(&rp[9], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[10]); |
| acc += bp[22 - 12]; |
| acc += bp[19 - 12]; |
| acc += bp[18 - 12]; |
| acc -= bp[21 - 12]; |
| store_lo32(&rp[10], acc); |
| acc >>= 32; |
| |
| acc += load_u32(&rp[11]); |
| acc += bp[23 - 12]; |
| acc += bp[20 - 12]; |
| acc += bp[19 - 12]; |
| acc -= bp[22 - 12]; |
| store_lo32(&rp[11], acc); |
| |
| carry = (int)(acc >> 32); |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_384_TOP]; |
| |
| /* |
| * S1 |
| */ |
| nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, 21 - 4); |
| /* left shift */ |
| { |
| register BN_ULONG *ap, t, c; |
| ap = t_d; |
| c = 0; |
| for (i = 3; i != 0; --i) { |
| t = *ap; |
| *(ap++) = ((t << 1) | c) & BN_MASK2; |
| c = (t & BN_TBIT) ? 1 : 0; |
| } |
| *ap = c; |
| } |
| carry = (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2), |
| t_d, BN_NIST_256_TOP); |
| /* |
| * S2 |
| */ |
| carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP); |
| /* |
| * S3 |
| */ |
| nist_set_384(t_d, buf.bn, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, |
| 21); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * S4 |
| */ |
| nist_set_384(t_d, buf.bn, 19, 18, 17, 16, 15, 14, 13, 12, 20, 0, 23, |
| 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * S5 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 23, 22, 21, 20, 0, 0, 0, 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * S6 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 23, 22, 21, 0, 0, 20); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * D1 |
| */ |
| nist_set_384(t_d, buf.bn, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, |
| 23); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * D2 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 22, 21, 20, 0); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * D3 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| } |
| #endif |
| /* see BN_nist_mod_224 for explanation */ |
| adjust = bn_sub_words; |
| if (carry > 0) |
| carry = (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1], |
| BN_NIST_384_TOP); |
| else if (carry < 0) { |
| carry = (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1], |
| BN_NIST_384_TOP); |
| adjust = carry ? bn_sub_words : bn_add_words; |
| } else |
| carry = 1; |
| |
| res = ((*adjust)(c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP) && carry) |
| ? r_d |
| : c_d; |
| nist_cp_bn(r_d, res, BN_NIST_384_TOP); |
| r->top = BN_NIST_384_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| #define BN_NIST_521_RSHIFT (521 % BN_BITS2) |
| #define BN_NIST_521_LSHIFT (BN_BITS2 - BN_NIST_521_RSHIFT) |
| #define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2 >> BN_NIST_521_LSHIFT) |
| |
| int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int top = a->top, i; |
| BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res; |
| static const BIGNUM ossl_bignum_nist_p_521_sqr = { |
| (BN_ULONG *)_nist_p_521_sqr, |
| OSSL_NELEM(_nist_p_521_sqr), |
| OSSL_NELEM(_nist_p_521_sqr), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &ossl_bignum_nist_p_521; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &ossl_bignum_nist_p_521_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_521_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_521_TOP); |
| } else |
| r_d = a_d; |
| |
| /* upper 521 bits, copy ... */ |
| nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1), |
| top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP); |
| /* ... and right shift */ |
| for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) { |
| #if 0 |
| /* |
| * MSC ARM compiler [version 2013, presumably even earlier, |
| * much earlier] miscompiles this code, but not one in |
| * #else section. See RT#3541. |
| */ |
| tmp = val >> BN_NIST_521_RSHIFT; |
| val = t_d[i + 1]; |
| t_d[i] = (tmp | val << BN_NIST_521_LSHIFT) & BN_MASK2; |
| #else |
| t_d[i] = (val >> BN_NIST_521_RSHIFT | (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2; |
| val = tmp; |
| #endif |
| } |
| t_d[i] = val >> BN_NIST_521_RSHIFT; |
| /* lower 521 bits */ |
| r_d[i] &= BN_NIST_521_TOP_MASK; |
| |
| bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP); |
| res = bn_sub_words(t_d, r_d, _nist_p_521, |
| BN_NIST_521_TOP) |
| ? r_d |
| : t_d; |
| nist_cp_bn(r_d, res, BN_NIST_521_TOP); |
| r->top = BN_NIST_521_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| int (*BN_nist_mod_func(const BIGNUM *p))(BIGNUM *r, const BIGNUM *a, |
| const BIGNUM *field, BN_CTX *ctx) |
| { |
| if (BN_ucmp(&ossl_bignum_nist_p_192, p) == 0) |
| return BN_nist_mod_192; |
| if (BN_ucmp(&ossl_bignum_nist_p_224, p) == 0) |
| return BN_nist_mod_224; |
| if (BN_ucmp(&ossl_bignum_nist_p_256, p) == 0) |
| return BN_nist_mod_256; |
| if (BN_ucmp(&ossl_bignum_nist_p_384, p) == 0) |
| return BN_nist_mod_384; |
| if (BN_ucmp(&ossl_bignum_nist_p_521, p) == 0) |
| return BN_nist_mod_521; |
| return 0; |
| } |
