1 /* Copyright (C) 1995-1997 Eric Young (eay (at) cryptsoft.com) 2 * All rights reserved. 3 * 4 * This package is an SSL implementation written 5 * by Eric Young (eay (at) cryptsoft.com). 6 * The implementation was written so as to conform with Netscapes SSL. 7 * 8 * This library is free for commercial and non-commercial use as long as 9 * the following conditions are aheared to. The following conditions 10 * apply to all code found in this distribution, be it the RC4, RSA, 11 * lhash, DES, etc., code; not just the SSL code. The SSL documentation 12 * included with this distribution is covered by the same copyright terms 13 * except that the holder is Tim Hudson (tjh (at) cryptsoft.com). 14 * 15 * Copyright remains Eric Young's, and as such any Copyright notices in 16 * the code are not to be removed. 17 * If this package is used in a product, Eric Young should be given attribution 18 * as the author of the parts of the library used. 19 * This can be in the form of a textual message at program startup or 20 * in documentation (online or textual) provided with the package. 21 * 22 * Redistribution and use in source and binary forms, with or without 23 * modification, are permitted provided that the following conditions 24 * are met: 25 * 1. Redistributions of source code must retain the copyright 26 * notice, this list of conditions and the following disclaimer. 27 * 2. Redistributions in binary form must reproduce the above copyright 28 * notice, this list of conditions and the following disclaimer in the 29 * documentation and/or other materials provided with the distribution. 30 * 3. All advertising materials mentioning features or use of this software 31 * must display the following acknowledgement: 32 * "This product includes cryptographic software written by 33 * Eric Young (eay (at) cryptsoft.com)" 34 * The word 'cryptographic' can be left out if the rouines from the library 35 * being used are not cryptographic related :-). 36 * 4. If you include any Windows specific code (or a derivative thereof) from 37 * the apps directory (application code) you must include an acknowledgement: 38 * "This product includes software written by Tim Hudson (tjh (at) cryptsoft.com)" 39 * 40 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND 41 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 43 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 44 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 45 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 46 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 48 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 49 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 50 * SUCH DAMAGE. 51 * 52 * The licence and distribution terms for any publically available version or 53 * derivative of this code cannot be changed. i.e. this code cannot simply be 54 * copied and put under another distribution licence 55 * [including the GNU Public Licence.] 56 */ 57 /* ==================================================================== 58 * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved. 59 * 60 * Redistribution and use in source and binary forms, with or without 61 * modification, are permitted provided that the following conditions 62 * are met: 63 * 64 * 1. Redistributions of source code must retain the above copyright 65 * notice, this list of conditions and the following disclaimer. 66 * 67 * 2. Redistributions in binary form must reproduce the above copyright 68 * notice, this list of conditions and the following disclaimer in 69 * the documentation and/or other materials provided with the 70 * distribution. 71 * 72 * 3. All advertising materials mentioning features or use of this 73 * software must display the following acknowledgment: 74 * "This product includes software developed by the OpenSSL Project 75 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 76 * 77 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 78 * endorse or promote products derived from this software without 79 * prior written permission. For written permission, please contact 80 * openssl-core (at) openssl.org. 81 * 82 * 5. Products derived from this software may not be called "OpenSSL" 83 * nor may "OpenSSL" appear in their names without prior written 84 * permission of the OpenSSL Project. 85 * 86 * 6. Redistributions of any form whatsoever must retain the following 87 * acknowledgment: 88 * "This product includes software developed by the OpenSSL Project 89 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 90 * 91 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 92 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 93 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 94 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 95 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 96 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 97 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 98 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 99 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 100 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 101 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 102 * OF THE POSSIBILITY OF SUCH DAMAGE. 103 * ==================================================================== 104 * 105 * This product includes cryptographic software written by Eric Young 106 * (eay (at) cryptsoft.com). This product includes software written by Tim 107 * Hudson (tjh (at) cryptsoft.com). 108 * 109 */ 110 /* ==================================================================== 111 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 112 * 113 * Portions of the attached software ("Contribution") are developed by 114 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 115 * 116 * The Contribution is licensed pursuant to the Eric Young open source 117 * license provided above. 118 * 119 * The binary polynomial arithmetic software is originally written by 120 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems 121 * Laboratories. */ 122 123 #ifndef OPENSSL_HEADER_BN_INTERNAL_H 124 #define OPENSSL_HEADER_BN_INTERNAL_H 125 126 #include <openssl/base.h> 127 128 #if defined(OPENSSL_X86_64) && defined(_MSC_VER) 129 OPENSSL_MSVC_PRAGMA(warning(push, 3)) 130 #include <intrin.h> 131 OPENSSL_MSVC_PRAGMA(warning(pop)) 132 #pragma intrinsic(__umulh, _umul128) 133 #endif 134 135 #include "../../internal.h" 136 137 #if defined(__cplusplus) 138 extern "C" { 139 #endif 140 141 #if defined(OPENSSL_64_BIT) 142 143 #if !defined(_MSC_VER) 144 /* MSVC doesn't support two-word integers on 64-bit. */ 145 #define BN_ULLONG uint128_t 146 #endif 147 148 #define BN_BITS2 64 149 #define BN_BYTES 8 150 #define BN_BITS4 32 151 #define BN_MASK2 (0xffffffffffffffffUL) 152 #define BN_MASK2l (0xffffffffUL) 153 #define BN_MASK2h (0xffffffff00000000UL) 154 #define BN_MASK2h1 (0xffffffff80000000UL) 155 #define BN_MONT_CTX_N0_LIMBS 1 156 #define BN_TBIT (0x8000000000000000UL) 157 #define BN_DEC_CONV (10000000000000000000UL) 158 #define BN_DEC_NUM 19 159 #define TOBN(hi, lo) ((BN_ULONG)(hi) << 32 | (lo)) 160 161 #elif defined(OPENSSL_32_BIT) 162 163 #define BN_ULLONG uint64_t 164 #define BN_BITS2 32 165 #define BN_BYTES 4 166 #define BN_BITS4 16 167 #define BN_MASK2 (0xffffffffUL) 168 #define BN_MASK2l (0xffffUL) 169 #define BN_MASK2h1 (0xffff8000UL) 170 #define BN_MASK2h (0xffff0000UL) 171 /* On some 32-bit platforms, Montgomery multiplication is done using 64-bit 172 * arithmetic with SIMD instructions. On such platforms, |BN_MONT_CTX::n0| 173 * needs to be two words long. Only certain 32-bit platforms actually make use 174 * of n0[1] and shorter R value would suffice for the others. However, 175 * currently only the assembly files know which is which. */ 176 #define BN_MONT_CTX_N0_LIMBS 2 177 #define BN_TBIT (0x80000000UL) 178 #define BN_DEC_CONV (1000000000UL) 179 #define BN_DEC_NUM 9 180 #define TOBN(hi, lo) (lo), (hi) 181 182 #else 183 #error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT" 184 #endif 185 186 187 #define STATIC_BIGNUM(x) \ 188 { \ 189 (BN_ULONG *)(x), sizeof(x) / sizeof(BN_ULONG), \ 190 sizeof(x) / sizeof(BN_ULONG), 0, BN_FLG_STATIC_DATA \ 191 } 192 193 #if defined(BN_ULLONG) 194 #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) 195 #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) 196 #endif 197 198 /* bn_correct_top decrements |bn->top| until |bn->d[top-1]| is non-zero or 199 * until |top| is zero. If |bn| is zero, |bn->neg| is set to zero. */ 200 void bn_correct_top(BIGNUM *bn); 201 202 /* bn_wexpand ensures that |bn| has at least |words| works of space without 203 * altering its value. It returns one on success or zero on allocation 204 * failure. */ 205 int bn_wexpand(BIGNUM *bn, size_t words); 206 207 /* bn_expand acts the same as |bn_wexpand|, but takes a number of bits rather 208 * than a number of words. */ 209 int bn_expand(BIGNUM *bn, size_t bits); 210 211 /* bn_set_words sets |bn| to the value encoded in the |num| words in |words|, 212 * least significant word first. */ 213 int bn_set_words(BIGNUM *bn, const BN_ULONG *words, size_t num); 214 215 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 216 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 217 void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); 218 BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); 219 BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); 220 221 void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); 222 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); 223 void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a); 224 void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a); 225 226 /* bn_cmp_words returns a value less than, equal to or greater than zero if 227 * the, length |n|, array |a| is less than, equal to or greater than |b|. */ 228 int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n); 229 230 /* bn_cmp_words returns a value less than, equal to or greater than zero if the 231 * array |a| is less than, equal to or greater than |b|. The arrays can be of 232 * different lengths: |cl| gives the minimum of the two lengths and |dl| gives 233 * the length of |a| minus the length of |b|. */ 234 int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); 235 236 int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, 237 const BN_ULONG *np, const BN_ULONG *n0, int num); 238 239 uint64_t bn_mont_n0(const BIGNUM *n); 240 int bn_mod_exp_base_2_vartime(BIGNUM *r, unsigned p, const BIGNUM *n); 241 242 #if defined(OPENSSL_X86_64) && defined(_MSC_VER) 243 #define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high))) 244 #endif 245 246 #if !defined(BN_ULLONG) && !defined(BN_UMULT_LOHI) 247 #error "Either BN_ULLONG or BN_UMULT_LOHI must be defined on every platform." 248 #endif 249 250 /* bn_mod_inverse_prime sets |out| to the modular inverse of |a| modulo |p|, 251 * computed with Fermat's Little Theorem. It returns one on success and zero on 252 * error. If |mont_p| is NULL, one will be computed temporarily. */ 253 int bn_mod_inverse_prime(BIGNUM *out, const BIGNUM *a, const BIGNUM *p, 254 BN_CTX *ctx, const BN_MONT_CTX *mont_p); 255 256 /* bn_mod_inverse_secret_prime behaves like |bn_mod_inverse_prime| but uses 257 * |BN_mod_exp_mont_consttime| instead of |BN_mod_exp_mont| in hopes of 258 * protecting the exponent. */ 259 int bn_mod_inverse_secret_prime(BIGNUM *out, const BIGNUM *a, const BIGNUM *p, 260 BN_CTX *ctx, const BN_MONT_CTX *mont_p); 261 262 /* bn_jacobi returns the Jacobi symbol of |a| and |b| (which is -1, 0 or 1), or 263 * -2 on error. */ 264 int bn_jacobi(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 265 266 267 #if defined(__cplusplus) 268 } /* extern C */ 269 #endif 270 271 #endif /* OPENSSL_HEADER_BN_INTERNAL_H */ 272
