| 1 | /* | 
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| 2 | * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved. | 
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| 3 | * | 
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| 4 | * Licensed under the Apache License 2.0 (the "License").  You may not use | 
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| 5 | * this file except in compliance with the License.  You can obtain a copy | 
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| 6 | * in the file LICENSE in the source distribution or at | 
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| 7 | * https://www.openssl.org/source/license.html | 
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| 8 | */ | 
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| 9 |  | 
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| 10 | #include "internal/cryptlib.h" | 
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| 11 | #include "bn_local.h" | 
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| 12 |  | 
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| 13 | /* signed add of b to a. */ | 
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| 14 | int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) | 
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| 15 | { | 
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| 16 | int ret, r_neg, cmp_res; | 
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| 17 |  | 
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| 18 | bn_check_top(a); | 
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| 19 | bn_check_top(b); | 
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| 20 |  | 
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| 21 | if (a->neg == b->neg) { | 
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| 22 | r_neg = a->neg; | 
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| 23 | ret = BN_uadd(r, a, b); | 
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| 24 | } else { | 
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| 25 | cmp_res = BN_ucmp(a, b); | 
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| 26 | if (cmp_res > 0) { | 
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| 27 | r_neg = a->neg; | 
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| 28 | ret = BN_usub(r, a, b); | 
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| 29 | } else if (cmp_res < 0) { | 
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| 30 | r_neg = b->neg; | 
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| 31 | ret = BN_usub(r, b, a); | 
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| 32 | } else { | 
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| 33 | r_neg = 0; | 
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| 34 | BN_zero(r); | 
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| 35 | ret = 1; | 
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| 36 | } | 
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| 37 | } | 
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| 38 |  | 
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| 39 | r->neg = r_neg; | 
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| 40 | bn_check_top(r); | 
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| 41 | return ret; | 
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| 42 | } | 
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| 43 |  | 
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| 44 | /* signed sub of b from a. */ | 
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| 45 | int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) | 
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| 46 | { | 
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| 47 | int ret, r_neg, cmp_res; | 
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| 48 |  | 
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| 49 | bn_check_top(a); | 
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| 50 | bn_check_top(b); | 
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| 51 |  | 
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| 52 | if (a->neg != b->neg) { | 
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| 53 | r_neg = a->neg; | 
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| 54 | ret = BN_uadd(r, a, b); | 
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| 55 | } else { | 
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| 56 | cmp_res = BN_ucmp(a, b); | 
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| 57 | if (cmp_res > 0) { | 
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| 58 | r_neg = a->neg; | 
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| 59 | ret = BN_usub(r, a, b); | 
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| 60 | } else if (cmp_res < 0) { | 
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| 61 | r_neg = !b->neg; | 
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| 62 | ret = BN_usub(r, b, a); | 
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| 63 | } else { | 
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| 64 | r_neg = 0; | 
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| 65 | BN_zero(r); | 
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| 66 | ret = 1; | 
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| 67 | } | 
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| 68 | } | 
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| 69 |  | 
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| 70 | r->neg = r_neg; | 
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| 71 | bn_check_top(r); | 
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| 72 | return ret; | 
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| 73 | } | 
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| 74 |  | 
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| 75 | /* unsigned add of b to a, r can be equal to a or b. */ | 
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| 76 | int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) | 
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| 77 | { | 
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| 78 | int max, min, dif; | 
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| 79 | const BN_ULONG *ap, *bp; | 
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| 80 | BN_ULONG *rp, carry, t1, t2; | 
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| 81 |  | 
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| 82 | bn_check_top(a); | 
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| 83 | bn_check_top(b); | 
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| 84 |  | 
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| 85 | if (a->top < b->top) { | 
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| 86 | const BIGNUM *tmp; | 
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| 87 |  | 
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| 88 | tmp = a; | 
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| 89 | a = b; | 
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| 90 | b = tmp; | 
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| 91 | } | 
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| 92 | max = a->top; | 
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| 93 | min = b->top; | 
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| 94 | dif = max - min; | 
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| 95 |  | 
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| 96 | if (bn_wexpand(r, max + 1) == NULL) | 
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| 97 | return 0; | 
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| 98 |  | 
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| 99 | r->top = max; | 
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| 100 |  | 
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| 101 | ap = a->d; | 
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| 102 | bp = b->d; | 
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| 103 | rp = r->d; | 
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| 104 |  | 
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| 105 | carry = bn_add_words(rp, ap, bp, min); | 
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| 106 | rp += min; | 
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| 107 | ap += min; | 
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| 108 |  | 
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| 109 | while (dif) { | 
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| 110 | dif--; | 
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| 111 | t1 = *(ap++); | 
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| 112 | t2 = (t1 + carry) & BN_MASK2; | 
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| 113 | *(rp++) = t2; | 
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| 114 | carry &= (t2 == 0); | 
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| 115 | } | 
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| 116 | *rp = carry; | 
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| 117 | r->top += carry; | 
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| 118 |  | 
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| 119 | r->neg = 0; | 
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| 120 | bn_check_top(r); | 
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| 121 | return 1; | 
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| 122 | } | 
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| 123 |  | 
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| 124 | /* unsigned subtraction of b from a, a must be larger than b. */ | 
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| 125 | int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) | 
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| 126 | { | 
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| 127 | int max, min, dif; | 
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| 128 | BN_ULONG t1, t2, borrow, *rp; | 
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| 129 | const BN_ULONG *ap, *bp; | 
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| 130 |  | 
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| 131 | bn_check_top(a); | 
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| 132 | bn_check_top(b); | 
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| 133 |  | 
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| 134 | max = a->top; | 
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| 135 | min = b->top; | 
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| 136 | dif = max - min; | 
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| 137 |  | 
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| 138 | if (dif < 0) {              /* hmm... should not be happening */ | 
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| 139 | BNerr(BN_F_BN_USUB, BN_R_ARG2_LT_ARG3); | 
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| 140 | return 0; | 
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| 141 | } | 
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| 142 |  | 
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| 143 | if (bn_wexpand(r, max) == NULL) | 
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| 144 | return 0; | 
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| 145 |  | 
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| 146 | ap = a->d; | 
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| 147 | bp = b->d; | 
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| 148 | rp = r->d; | 
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| 149 |  | 
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| 150 | borrow = bn_sub_words(rp, ap, bp, min); | 
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| 151 | ap += min; | 
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| 152 | rp += min; | 
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| 153 |  | 
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| 154 | while (dif) { | 
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| 155 | dif--; | 
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| 156 | t1 = *(ap++); | 
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| 157 | t2 = (t1 - borrow) & BN_MASK2; | 
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| 158 | *(rp++) = t2; | 
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| 159 | borrow &= (t1 == 0); | 
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| 160 | } | 
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| 161 |  | 
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| 162 | while (max && *--rp == 0) | 
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| 163 | max--; | 
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| 164 |  | 
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| 165 | r->top = max; | 
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| 166 | r->neg = 0; | 
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| 167 | bn_pollute(r); | 
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| 168 |  | 
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| 169 | return 1; | 
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| 170 | } | 
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| 171 |  | 
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| 172 |  | 
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