[331] | 1 | /*
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| 2 | * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
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| 3 | *
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| 4 | * Licensed under the OpenSSL license (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 "bn_lcl.h"
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| 11 | #include "internal/cryptlib.h"
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| 12 |
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| 13 | #define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
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| 14 | #define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
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| 15 | #define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
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| 16 | #define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
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| 17 | #define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
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| 18 |
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| 19 | /* pre-computed tables are "carry-less" values of modulus*(i+1) */
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| 20 | #if BN_BITS2 == 64
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| 21 | static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
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| 22 | {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL},
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| 23 | {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL},
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| 24 | {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL}
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| 25 | };
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| 26 |
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| 27 | static const BN_ULONG _nist_p_192_sqr[] = {
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| 28 | 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL,
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| 29 | 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL
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| 30 | };
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| 31 |
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| 32 | static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
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| 33 | {0x0000000000000001ULL, 0xFFFFFFFF00000000ULL,
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| 34 | 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL},
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| 35 | {0x0000000000000002ULL, 0xFFFFFFFE00000000ULL,
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| 36 | 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL} /* this one is
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| 37 | * "carry-full" */
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| 38 | };
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| 39 |
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| 40 | static const BN_ULONG _nist_p_224_sqr[] = {
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| 41 | 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
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| 42 | 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL,
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| 43 | 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL,
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| 44 | 0xFFFFFFFFFFFFFFFFULL
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| 45 | };
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| 46 |
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| 47 | static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
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| 48 | {0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL,
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| 49 | 0x0000000000000000ULL, 0xFFFFFFFF00000001ULL},
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| 50 | {0xFFFFFFFFFFFFFFFEULL, 0x00000001FFFFFFFFULL,
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| 51 | 0x0000000000000000ULL, 0xFFFFFFFE00000002ULL},
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| 52 | {0xFFFFFFFFFFFFFFFDULL, 0x00000002FFFFFFFFULL,
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| 53 | 0x0000000000000000ULL, 0xFFFFFFFD00000003ULL},
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| 54 | {0xFFFFFFFFFFFFFFFCULL, 0x00000003FFFFFFFFULL,
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| 55 | 0x0000000000000000ULL, 0xFFFFFFFC00000004ULL},
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| 56 | {0xFFFFFFFFFFFFFFFBULL, 0x00000004FFFFFFFFULL,
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| 57 | 0x0000000000000000ULL, 0xFFFFFFFB00000005ULL},
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| 58 | };
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| 59 |
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| 60 | static const BN_ULONG _nist_p_256_sqr[] = {
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| 61 | 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL,
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| 62 | 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL,
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| 63 | 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL,
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| 64 | 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL
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| 65 | };
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| 66 |
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| 67 | static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
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| 68 | {0x00000000FFFFFFFFULL, 0xFFFFFFFF00000000ULL, 0xFFFFFFFFFFFFFFFEULL,
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| 69 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
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| 70 | {0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
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| 71 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
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| 72 | {0x00000002FFFFFFFDULL, 0xFFFFFFFD00000000ULL, 0xFFFFFFFFFFFFFFFCULL,
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| 73 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
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| 74 | {0x00000003FFFFFFFCULL, 0xFFFFFFFC00000000ULL, 0xFFFFFFFFFFFFFFFBULL,
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| 75 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
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| 76 | {0x00000004FFFFFFFBULL, 0xFFFFFFFB00000000ULL, 0xFFFFFFFFFFFFFFFAULL,
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| 77 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL},
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| 78 | };
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| 79 |
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| 80 | static const BN_ULONG _nist_p_384_sqr[] = {
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| 81 | 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL,
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| 82 | 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL,
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| 83 | 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL,
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| 84 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL
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| 85 | };
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| 86 |
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| 87 | static const BN_ULONG _nist_p_521[] =
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| 88 | { 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
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| 89 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
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| 90 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
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| 91 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
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| 92 | 0x00000000000001FFULL
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| 93 | };
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| 94 |
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| 95 | static const BN_ULONG _nist_p_521_sqr[] = {
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| 96 | 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
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| 97 | 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL,
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| 98 | 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL,
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| 99 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
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| 100 | 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL,
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| 101 | 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL
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| 102 | };
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| 103 | #elif BN_BITS2 == 32
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| 104 | static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
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| 105 | {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 106 | {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 107 | {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}
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| 108 | };
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| 109 |
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| 110 | static const BN_ULONG _nist_p_192_sqr[] = {
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| 111 | 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000,
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| 112 | 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
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| 113 | };
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| 114 |
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| 115 | static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
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| 116 | {0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF,
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| 117 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 118 | {0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE,
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| 119 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}
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| 120 | };
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| 121 |
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| 122 | static const BN_ULONG _nist_p_224_sqr[] = {
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| 123 | 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
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| 124 | 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002,
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| 125 | 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF,
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| 126 | 0xFFFFFFFF, 0xFFFFFFFF
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| 127 | };
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| 128 |
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| 129 | static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
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| 130 | {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000,
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| 131 | 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF},
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| 132 | {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001,
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| 133 | 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE},
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| 134 | {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002,
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| 135 | 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD},
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| 136 | {0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003,
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| 137 | 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC},
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| 138 | {0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004,
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| 139 | 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB},
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| 140 | };
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| 141 |
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| 142 | static const BN_ULONG _nist_p_256_sqr[] = {
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| 143 | 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE,
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| 144 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001,
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| 145 | 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001,
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| 146 | 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE
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| 147 | };
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| 148 |
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| 149 | static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
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| 150 | {0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF,
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| 151 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 152 | {0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
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| 153 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 154 | {0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFC, 0xFFFFFFFF,
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| 155 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 156 | {0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, 0xFFFFFFFB, 0xFFFFFFFF,
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| 157 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 158 | {0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, 0xFFFFFFFA, 0xFFFFFFFF,
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| 159 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF},
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| 160 | };
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| 161 |
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| 162 | static const BN_ULONG _nist_p_384_sqr[] = {
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| 163 | 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE,
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| 164 | 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000,
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| 165 | 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF,
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| 166 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF
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| 167 | };
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| 168 |
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| 169 | static const BN_ULONG _nist_p_521[] = { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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| 170 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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| 171 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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| 172 | 0xFFFFFFFF, 0x000001FF
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| 173 | };
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| 174 |
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| 175 | static const BN_ULONG _nist_p_521_sqr[] = {
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| 176 | 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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| 177 | 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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| 178 | 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFC00, 0xFFFFFFFF,
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| 179 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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| 180 | 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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| 181 | 0xFFFFFFFF, 0xFFFFFFFF, 0x0003FFFF
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| 182 | };
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| 183 | #else
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| 184 | # error "unsupported BN_BITS2"
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| 185 | #endif
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| 186 |
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| 187 | static const BIGNUM _bignum_nist_p_192 = {
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| 188 | (BN_ULONG *)_nist_p_192[0],
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| 189 | BN_NIST_192_TOP,
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| 190 | BN_NIST_192_TOP,
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| 191 | 0,
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| 192 | BN_FLG_STATIC_DATA
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| 193 | };
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| 194 |
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| 195 | static const BIGNUM _bignum_nist_p_224 = {
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| 196 | (BN_ULONG *)_nist_p_224[0],
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| 197 | BN_NIST_224_TOP,
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| 198 | BN_NIST_224_TOP,
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| 199 | 0,
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| 200 | BN_FLG_STATIC_DATA
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| 201 | };
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| 202 |
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| 203 | static const BIGNUM _bignum_nist_p_256 = {
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| 204 | (BN_ULONG *)_nist_p_256[0],
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| 205 | BN_NIST_256_TOP,
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| 206 | BN_NIST_256_TOP,
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| 207 | 0,
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| 208 | BN_FLG_STATIC_DATA
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| 209 | };
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| 210 |
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| 211 | static const BIGNUM _bignum_nist_p_384 = {
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| 212 | (BN_ULONG *)_nist_p_384[0],
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| 213 | BN_NIST_384_TOP,
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| 214 | BN_NIST_384_TOP,
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| 215 | 0,
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| 216 | BN_FLG_STATIC_DATA
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| 217 | };
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| 218 |
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| 219 | static const BIGNUM _bignum_nist_p_521 = {
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| 220 | (BN_ULONG *)_nist_p_521,
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| 221 | BN_NIST_521_TOP,
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| 222 | BN_NIST_521_TOP,
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| 223 | 0,
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| 224 | BN_FLG_STATIC_DATA
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| 225 | };
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| 226 |
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| 227 | const BIGNUM *BN_get0_nist_prime_192(void)
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| 228 | {
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| 229 | return &_bignum_nist_p_192;
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| 230 | }
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| 231 |
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| 232 | const BIGNUM *BN_get0_nist_prime_224(void)
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| 233 | {
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| 234 | return &_bignum_nist_p_224;
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| 235 | }
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| 236 |
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| 237 | const BIGNUM *BN_get0_nist_prime_256(void)
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| 238 | {
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| 239 | return &_bignum_nist_p_256;
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| 240 | }
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| 241 |
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| 242 | const BIGNUM *BN_get0_nist_prime_384(void)
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| 243 | {
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| 244 | return &_bignum_nist_p_384;
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| 245 | }
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| 246 |
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| 247 | const BIGNUM *BN_get0_nist_prime_521(void)
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| 248 | {
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| 249 | return &_bignum_nist_p_521;
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| 250 | }
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| 251 |
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| 252 | static void nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max)
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| 253 | {
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| 254 | int i;
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| 255 |
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| 256 | #ifdef BN_DEBUG
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| 257 | OPENSSL_assert(top <= max);
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| 258 | #endif
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| 259 | for (i = 0; i < top; i++)
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| 260 | dst[i] = src[i];
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| 261 | for (; i < max; i++)
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| 262 | dst[i] = 0;
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| 263 | }
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| 264 |
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| 265 | static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top)
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| 266 | {
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| 267 | int i;
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| 268 |
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| 269 | for (i = 0; i < top; i++)
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| 270 | dst[i] = src[i];
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| 271 | }
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| 272 |
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| 273 | #if BN_BITS2 == 64
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| 274 | # define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
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| 275 | # define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
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| 276 | /*
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| 277 | * two following macros are implemented under assumption that they
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| 278 | * are called in a sequence with *ascending* n, i.e. as they are...
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| 279 | */
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| 280 | # 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))\
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| 281 | :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
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| 282 | # define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
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| 283 | # define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
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| 284 | # if defined(L_ENDIAN)
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| 285 | # if defined(__arch64__)
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| 286 | # define NIST_INT64 long
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| 287 | # else
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| 288 | # define NIST_INT64 long long
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| 289 | # endif
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| 290 | # endif
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| 291 | #else
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| 292 | # define bn_cp_64(to, n, from, m) \
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| 293 | { \
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| 294 | bn_cp_32(to, (n)*2, from, (m)*2); \
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| 295 | bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
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| 296 | }
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| 297 | # define bn_64_set_0(to, n) \
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| 298 | { \
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| 299 | bn_32_set_0(to, (n)*2); \
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| 300 | bn_32_set_0(to, (n)*2+1); \
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| 301 | }
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| 302 | # define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
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| 303 | # define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
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| 304 | # if defined(_WIN32) && !defined(__GNUC__)
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| 305 | # define NIST_INT64 __int64
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| 306 | # elif defined(BN_LLONG)
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| 307 | # define NIST_INT64 long long
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| 308 | # endif
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| 309 | #endif /* BN_BITS2 != 64 */
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| 310 |
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| 311 | #define nist_set_192(to, from, a1, a2, a3) \
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| 312 | { \
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| 313 | bn_cp_64(to, 0, from, (a3) - 3) \
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| 314 | bn_cp_64(to, 1, from, (a2) - 3) \
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| 315 | bn_cp_64(to, 2, from, (a1) - 3) \
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| 316 | }
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| 317 |
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| 318 | int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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| 319 | BN_CTX *ctx)
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| 320 | {
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| 321 | int top = a->top, i;
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| 322 | int carry;
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| 323 | register BN_ULONG *r_d, *a_d = a->d;
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| 324 | union {
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| 325 | BN_ULONG bn[BN_NIST_192_TOP];
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| 326 | unsigned int ui[BN_NIST_192_TOP * sizeof(BN_ULONG) /
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| 327 | sizeof(unsigned int)];
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| 328 | } buf;
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| 329 | BN_ULONG c_d[BN_NIST_192_TOP], *res;
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| 330 | PTR_SIZE_INT mask;
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| 331 | static const BIGNUM _bignum_nist_p_192_sqr = {
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| 332 | (BN_ULONG *)_nist_p_192_sqr,
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| 333 | OSSL_NELEM(_nist_p_192_sqr),
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| 334 | OSSL_NELEM(_nist_p_192_sqr),
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| 335 | 0, BN_FLG_STATIC_DATA
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| 336 | };
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| 337 |
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| 338 | field = &_bignum_nist_p_192; /* just to make sure */
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| 339 |
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| 340 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0)
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| 341 | return BN_nnmod(r, a, field, ctx);
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| 342 |
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| 343 | i = BN_ucmp(field, a);
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| 344 | if (i == 0) {
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| 345 | BN_zero(r);
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| 346 | return 1;
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| 347 | } else if (i > 0)
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| 348 | return (r == a) ? 1 : (BN_copy(r, a) != NULL);
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| 349 |
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| 350 | if (r != a) {
|
---|
| 351 | if (!bn_wexpand(r, BN_NIST_192_TOP))
|
---|
| 352 | return 0;
|
---|
| 353 | r_d = r->d;
|
---|
| 354 | nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
|
---|
| 355 | } else
|
---|
| 356 | r_d = a_d;
|
---|
| 357 |
|
---|
| 358 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP,
|
---|
| 359 | BN_NIST_192_TOP);
|
---|
| 360 |
|
---|
| 361 | #if defined(NIST_INT64)
|
---|
| 362 | {
|
---|
| 363 | NIST_INT64 acc; /* accumulator */
|
---|
| 364 | unsigned int *rp = (unsigned int *)r_d;
|
---|
| 365 | const unsigned int *bp = (const unsigned int *)buf.ui;
|
---|
| 366 |
|
---|
| 367 | acc = rp[0];
|
---|
| 368 | acc += bp[3 * 2 - 6];
|
---|
| 369 | acc += bp[5 * 2 - 6];
|
---|
| 370 | rp[0] = (unsigned int)acc;
|
---|
| 371 | acc >>= 32;
|
---|
| 372 |
|
---|
| 373 | acc += rp[1];
|
---|
| 374 | acc += bp[3 * 2 - 5];
|
---|
| 375 | acc += bp[5 * 2 - 5];
|
---|
| 376 | rp[1] = (unsigned int)acc;
|
---|
| 377 | acc >>= 32;
|
---|
| 378 |
|
---|
| 379 | acc += rp[2];
|
---|
| 380 | acc += bp[3 * 2 - 6];
|
---|
| 381 | acc += bp[4 * 2 - 6];
|
---|
| 382 | acc += bp[5 * 2 - 6];
|
---|
| 383 | rp[2] = (unsigned int)acc;
|
---|
| 384 | acc >>= 32;
|
---|
| 385 |
|
---|
| 386 | acc += rp[3];
|
---|
| 387 | acc += bp[3 * 2 - 5];
|
---|
| 388 | acc += bp[4 * 2 - 5];
|
---|
| 389 | acc += bp[5 * 2 - 5];
|
---|
| 390 | rp[3] = (unsigned int)acc;
|
---|
| 391 | acc >>= 32;
|
---|
| 392 |
|
---|
| 393 | acc += rp[4];
|
---|
| 394 | acc += bp[4 * 2 - 6];
|
---|
| 395 | acc += bp[5 * 2 - 6];
|
---|
| 396 | rp[4] = (unsigned int)acc;
|
---|
| 397 | acc >>= 32;
|
---|
| 398 |
|
---|
| 399 | acc += rp[5];
|
---|
| 400 | acc += bp[4 * 2 - 5];
|
---|
| 401 | acc += bp[5 * 2 - 5];
|
---|
| 402 | rp[5] = (unsigned int)acc;
|
---|
| 403 |
|
---|
| 404 | carry = (int)(acc >> 32);
|
---|
| 405 | }
|
---|
| 406 | #else
|
---|
| 407 | {
|
---|
| 408 | BN_ULONG t_d[BN_NIST_192_TOP];
|
---|
| 409 |
|
---|
| 410 | nist_set_192(t_d, buf.bn, 0, 3, 3);
|
---|
| 411 | carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
|
---|
| 412 | nist_set_192(t_d, buf.bn, 4, 4, 0);
|
---|
| 413 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
|
---|
| 414 | nist_set_192(t_d, buf.bn, 5, 5, 5)
|
---|
| 415 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
|
---|
| 416 | }
|
---|
| 417 | #endif
|
---|
| 418 | if (carry > 0)
|
---|
| 419 | carry =
|
---|
| 420 | (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1],
|
---|
| 421 | BN_NIST_192_TOP);
|
---|
| 422 | else
|
---|
| 423 | carry = 1;
|
---|
| 424 |
|
---|
| 425 | /*
|
---|
| 426 | * we need 'if (carry==0 || result>=modulus) result-=modulus;'
|
---|
| 427 | * as comparison implies subtraction, we can write
|
---|
| 428 | * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
|
---|
| 429 | * this is what happens below, but without explicit if:-) a.
|
---|
| 430 | */
|
---|
| 431 | mask =
|
---|
| 432 | 0 - (PTR_SIZE_INT) bn_sub_words(c_d, r_d, _nist_p_192[0],
|
---|
| 433 | BN_NIST_192_TOP);
|
---|
| 434 | mask &= 0 - (PTR_SIZE_INT) carry;
|
---|
| 435 | res = c_d;
|
---|
| 436 | res = (BN_ULONG *)
|
---|
| 437 | (((PTR_SIZE_INT) res & ~mask) | ((PTR_SIZE_INT) r_d & mask));
|
---|
| 438 | nist_cp_bn(r_d, res, BN_NIST_192_TOP);
|
---|
| 439 | r->top = BN_NIST_192_TOP;
|
---|
| 440 | bn_correct_top(r);
|
---|
| 441 |
|
---|
| 442 | return 1;
|
---|
| 443 | }
|
---|
| 444 |
|
---|
| 445 | typedef BN_ULONG (*bn_addsub_f) (BN_ULONG *, const BN_ULONG *,
|
---|
| 446 | const BN_ULONG *, int);
|
---|
| 447 |
|
---|
| 448 | #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
|
---|
| 449 | { \
|
---|
| 450 | bn_cp_32(to, 0, from, (a7) - 7) \
|
---|
| 451 | bn_cp_32(to, 1, from, (a6) - 7) \
|
---|
| 452 | bn_cp_32(to, 2, from, (a5) - 7) \
|
---|
| 453 | bn_cp_32(to, 3, from, (a4) - 7) \
|
---|
| 454 | bn_cp_32(to, 4, from, (a3) - 7) \
|
---|
| 455 | bn_cp_32(to, 5, from, (a2) - 7) \
|
---|
| 456 | bn_cp_32(to, 6, from, (a1) - 7) \
|
---|
| 457 | }
|
---|
| 458 |
|
---|
| 459 | int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
---|
| 460 | BN_CTX *ctx)
|
---|
| 461 | {
|
---|
| 462 | int top = a->top, i;
|
---|
| 463 | int carry;
|
---|
| 464 | BN_ULONG *r_d, *a_d = a->d;
|
---|
| 465 | union {
|
---|
| 466 | BN_ULONG bn[BN_NIST_224_TOP];
|
---|
| 467 | unsigned int ui[BN_NIST_224_TOP * sizeof(BN_ULONG) /
|
---|
| 468 | sizeof(unsigned int)];
|
---|
| 469 | } buf;
|
---|
| 470 | BN_ULONG c_d[BN_NIST_224_TOP], *res;
|
---|
| 471 | PTR_SIZE_INT mask;
|
---|
| 472 | union {
|
---|
| 473 | bn_addsub_f f;
|
---|
| 474 | PTR_SIZE_INT p;
|
---|
| 475 | } u;
|
---|
| 476 | static const BIGNUM _bignum_nist_p_224_sqr = {
|
---|
| 477 | (BN_ULONG *)_nist_p_224_sqr,
|
---|
| 478 | OSSL_NELEM(_nist_p_224_sqr),
|
---|
| 479 | OSSL_NELEM(_nist_p_224_sqr),
|
---|
| 480 | 0, BN_FLG_STATIC_DATA
|
---|
| 481 | };
|
---|
| 482 |
|
---|
| 483 | field = &_bignum_nist_p_224; /* just to make sure */
|
---|
| 484 |
|
---|
| 485 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0)
|
---|
| 486 | return BN_nnmod(r, a, field, ctx);
|
---|
| 487 |
|
---|
| 488 | i = BN_ucmp(field, a);
|
---|
| 489 | if (i == 0) {
|
---|
| 490 | BN_zero(r);
|
---|
| 491 | return 1;
|
---|
| 492 | } else if (i > 0)
|
---|
| 493 | return (r == a) ? 1 : (BN_copy(r, a) != NULL);
|
---|
| 494 |
|
---|
| 495 | if (r != a) {
|
---|
| 496 | if (!bn_wexpand(r, BN_NIST_224_TOP))
|
---|
| 497 | return 0;
|
---|
| 498 | r_d = r->d;
|
---|
| 499 | nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
|
---|
| 500 | } else
|
---|
| 501 | r_d = a_d;
|
---|
| 502 |
|
---|
| 503 | #if BN_BITS2==64
|
---|
| 504 | /* copy upper 256 bits of 448 bit number ... */
|
---|
| 505 | nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1),
|
---|
| 506 | top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP);
|
---|
| 507 | /* ... and right shift by 32 to obtain upper 224 bits */
|
---|
| 508 | nist_set_224(buf.bn, c_d, 14, 13, 12, 11, 10, 9, 8);
|
---|
| 509 | /* truncate lower part to 224 bits too */
|
---|
| 510 | r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l;
|
---|
| 511 | #else
|
---|
| 512 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP,
|
---|
| 513 | BN_NIST_224_TOP);
|
---|
| 514 | #endif
|
---|
| 515 |
|
---|
| 516 | #if defined(NIST_INT64) && BN_BITS2!=64
|
---|
| 517 | {
|
---|
| 518 | NIST_INT64 acc; /* accumulator */
|
---|
| 519 | unsigned int *rp = (unsigned int *)r_d;
|
---|
| 520 | const unsigned int *bp = (const unsigned int *)buf.ui;
|
---|
| 521 |
|
---|
| 522 | acc = rp[0];
|
---|
| 523 | acc -= bp[7 - 7];
|
---|
| 524 | acc -= bp[11 - 7];
|
---|
| 525 | rp[0] = (unsigned int)acc;
|
---|
| 526 | acc >>= 32;
|
---|
| 527 |
|
---|
| 528 | acc += rp[1];
|
---|
| 529 | acc -= bp[8 - 7];
|
---|
| 530 | acc -= bp[12 - 7];
|
---|
| 531 | rp[1] = (unsigned int)acc;
|
---|
| 532 | acc >>= 32;
|
---|
| 533 |
|
---|
| 534 | acc += rp[2];
|
---|
| 535 | acc -= bp[9 - 7];
|
---|
| 536 | acc -= bp[13 - 7];
|
---|
| 537 | rp[2] = (unsigned int)acc;
|
---|
| 538 | acc >>= 32;
|
---|
| 539 |
|
---|
| 540 | acc += rp[3];
|
---|
| 541 | acc += bp[7 - 7];
|
---|
| 542 | acc += bp[11 - 7];
|
---|
| 543 | acc -= bp[10 - 7];
|
---|
| 544 | rp[3] = (unsigned int)acc;
|
---|
| 545 | acc >>= 32;
|
---|
| 546 |
|
---|
| 547 | acc += rp[4];
|
---|
| 548 | acc += bp[8 - 7];
|
---|
| 549 | acc += bp[12 - 7];
|
---|
| 550 | acc -= bp[11 - 7];
|
---|
| 551 | rp[4] = (unsigned int)acc;
|
---|
| 552 | acc >>= 32;
|
---|
| 553 |
|
---|
| 554 | acc += rp[5];
|
---|
| 555 | acc += bp[9 - 7];
|
---|
| 556 | acc += bp[13 - 7];
|
---|
| 557 | acc -= bp[12 - 7];
|
---|
| 558 | rp[5] = (unsigned int)acc;
|
---|
| 559 | acc >>= 32;
|
---|
| 560 |
|
---|
| 561 | acc += rp[6];
|
---|
| 562 | acc += bp[10 - 7];
|
---|
| 563 | acc -= bp[13 - 7];
|
---|
| 564 | rp[6] = (unsigned int)acc;
|
---|
| 565 |
|
---|
| 566 | carry = (int)(acc >> 32);
|
---|
| 567 | # if BN_BITS2==64
|
---|
| 568 | rp[7] = carry;
|
---|
| 569 | # endif
|
---|
| 570 | }
|
---|
| 571 | #else
|
---|
| 572 | {
|
---|
| 573 | BN_ULONG t_d[BN_NIST_224_TOP];
|
---|
| 574 |
|
---|
| 575 | nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0);
|
---|
| 576 | carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
|
---|
| 577 | nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0);
|
---|
| 578 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
|
---|
| 579 | nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7);
|
---|
| 580 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
|
---|
| 581 | nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11);
|
---|
| 582 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
|
---|
| 583 |
|
---|
| 584 | # if BN_BITS2==64
|
---|
| 585 | carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32);
|
---|
| 586 | # endif
|
---|
| 587 | }
|
---|
| 588 | #endif
|
---|
| 589 | u.f = bn_sub_words;
|
---|
| 590 | if (carry > 0) {
|
---|
| 591 | carry =
|
---|
| 592 | (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1],
|
---|
| 593 | BN_NIST_224_TOP);
|
---|
| 594 | #if BN_BITS2==64
|
---|
| 595 | carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1;
|
---|
| 596 | #endif
|
---|
| 597 | } else if (carry < 0) {
|
---|
| 598 | /*
|
---|
| 599 | * it's a bit more complicated logic in this case. if bn_add_words
|
---|
| 600 | * yields no carry, then result has to be adjusted by unconditionally
|
---|
| 601 | * *adding* the modulus. but if it does, then result has to be
|
---|
| 602 | * compared to the modulus and conditionally adjusted by
|
---|
| 603 | * *subtracting* the latter.
|
---|
| 604 | */
|
---|
| 605 | carry =
|
---|
| 606 | (int)bn_add_words(r_d, r_d, _nist_p_224[-carry - 1],
|
---|
| 607 | BN_NIST_224_TOP);
|
---|
| 608 | mask = 0 - (PTR_SIZE_INT) carry;
|
---|
| 609 | u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
|
---|
| 610 | ((PTR_SIZE_INT) bn_add_words & ~mask);
|
---|
| 611 | } else
|
---|
| 612 | carry = 1;
|
---|
| 613 |
|
---|
| 614 | /* otherwise it's effectively same as in BN_nist_mod_192... */
|
---|
| 615 | mask =
|
---|
| 616 | 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP);
|
---|
| 617 | mask &= 0 - (PTR_SIZE_INT) carry;
|
---|
| 618 | res = c_d;
|
---|
| 619 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
|
---|
| 620 | ((PTR_SIZE_INT) r_d & mask));
|
---|
| 621 | nist_cp_bn(r_d, res, BN_NIST_224_TOP);
|
---|
| 622 | r->top = BN_NIST_224_TOP;
|
---|
| 623 | bn_correct_top(r);
|
---|
| 624 |
|
---|
| 625 | return 1;
|
---|
| 626 | }
|
---|
| 627 |
|
---|
| 628 | #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
|
---|
| 629 | { \
|
---|
| 630 | bn_cp_32(to, 0, from, (a8) - 8) \
|
---|
| 631 | bn_cp_32(to, 1, from, (a7) - 8) \
|
---|
| 632 | bn_cp_32(to, 2, from, (a6) - 8) \
|
---|
| 633 | bn_cp_32(to, 3, from, (a5) - 8) \
|
---|
| 634 | bn_cp_32(to, 4, from, (a4) - 8) \
|
---|
| 635 | bn_cp_32(to, 5, from, (a3) - 8) \
|
---|
| 636 | bn_cp_32(to, 6, from, (a2) - 8) \
|
---|
| 637 | bn_cp_32(to, 7, from, (a1) - 8) \
|
---|
| 638 | }
|
---|
| 639 |
|
---|
| 640 | int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
---|
| 641 | BN_CTX *ctx)
|
---|
| 642 | {
|
---|
| 643 | int i, top = a->top;
|
---|
| 644 | int carry = 0;
|
---|
| 645 | register BN_ULONG *a_d = a->d, *r_d;
|
---|
| 646 | union {
|
---|
| 647 | BN_ULONG bn[BN_NIST_256_TOP];
|
---|
| 648 | unsigned int ui[BN_NIST_256_TOP * sizeof(BN_ULONG) /
|
---|
| 649 | sizeof(unsigned int)];
|
---|
| 650 | } buf;
|
---|
| 651 | BN_ULONG c_d[BN_NIST_256_TOP], *res;
|
---|
| 652 | PTR_SIZE_INT mask;
|
---|
| 653 | union {
|
---|
| 654 | bn_addsub_f f;
|
---|
| 655 | PTR_SIZE_INT p;
|
---|
| 656 | } u;
|
---|
| 657 | static const BIGNUM _bignum_nist_p_256_sqr = {
|
---|
| 658 | (BN_ULONG *)_nist_p_256_sqr,
|
---|
| 659 | OSSL_NELEM(_nist_p_256_sqr),
|
---|
| 660 | OSSL_NELEM(_nist_p_256_sqr),
|
---|
| 661 | 0, BN_FLG_STATIC_DATA
|
---|
| 662 | };
|
---|
| 663 |
|
---|
| 664 | field = &_bignum_nist_p_256; /* just to make sure */
|
---|
| 665 |
|
---|
| 666 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0)
|
---|
| 667 | return BN_nnmod(r, a, field, ctx);
|
---|
| 668 |
|
---|
| 669 | i = BN_ucmp(field, a);
|
---|
| 670 | if (i == 0) {
|
---|
| 671 | BN_zero(r);
|
---|
| 672 | return 1;
|
---|
| 673 | } else if (i > 0)
|
---|
| 674 | return (r == a) ? 1 : (BN_copy(r, a) != NULL);
|
---|
| 675 |
|
---|
| 676 | if (r != a) {
|
---|
| 677 | if (!bn_wexpand(r, BN_NIST_256_TOP))
|
---|
| 678 | return 0;
|
---|
| 679 | r_d = r->d;
|
---|
| 680 | nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
|
---|
| 681 | } else
|
---|
| 682 | r_d = a_d;
|
---|
| 683 |
|
---|
| 684 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP,
|
---|
| 685 | BN_NIST_256_TOP);
|
---|
| 686 |
|
---|
| 687 | #if defined(NIST_INT64)
|
---|
| 688 | {
|
---|
| 689 | NIST_INT64 acc; /* accumulator */
|
---|
| 690 | unsigned int *rp = (unsigned int *)r_d;
|
---|
| 691 | const unsigned int *bp = (const unsigned int *)buf.ui;
|
---|
| 692 |
|
---|
| 693 | acc = rp[0];
|
---|
| 694 | acc += bp[8 - 8];
|
---|
| 695 | acc += bp[9 - 8];
|
---|
| 696 | acc -= bp[11 - 8];
|
---|
| 697 | acc -= bp[12 - 8];
|
---|
| 698 | acc -= bp[13 - 8];
|
---|
| 699 | acc -= bp[14 - 8];
|
---|
| 700 | rp[0] = (unsigned int)acc;
|
---|
| 701 | acc >>= 32;
|
---|
| 702 |
|
---|
| 703 | acc += rp[1];
|
---|
| 704 | acc += bp[9 - 8];
|
---|
| 705 | acc += bp[10 - 8];
|
---|
| 706 | acc -= bp[12 - 8];
|
---|
| 707 | acc -= bp[13 - 8];
|
---|
| 708 | acc -= bp[14 - 8];
|
---|
| 709 | acc -= bp[15 - 8];
|
---|
| 710 | rp[1] = (unsigned int)acc;
|
---|
| 711 | acc >>= 32;
|
---|
| 712 |
|
---|
| 713 | acc += rp[2];
|
---|
| 714 | acc += bp[10 - 8];
|
---|
| 715 | acc += bp[11 - 8];
|
---|
| 716 | acc -= bp[13 - 8];
|
---|
| 717 | acc -= bp[14 - 8];
|
---|
| 718 | acc -= bp[15 - 8];
|
---|
| 719 | rp[2] = (unsigned int)acc;
|
---|
| 720 | acc >>= 32;
|
---|
| 721 |
|
---|
| 722 | acc += rp[3];
|
---|
| 723 | acc += bp[11 - 8];
|
---|
| 724 | acc += bp[11 - 8];
|
---|
| 725 | acc += bp[12 - 8];
|
---|
| 726 | acc += bp[12 - 8];
|
---|
| 727 | acc += bp[13 - 8];
|
---|
| 728 | acc -= bp[15 - 8];
|
---|
| 729 | acc -= bp[8 - 8];
|
---|
| 730 | acc -= bp[9 - 8];
|
---|
| 731 | rp[3] = (unsigned int)acc;
|
---|
| 732 | acc >>= 32;
|
---|
| 733 |
|
---|
| 734 | acc += rp[4];
|
---|
| 735 | acc += bp[12 - 8];
|
---|
| 736 | acc += bp[12 - 8];
|
---|
| 737 | acc += bp[13 - 8];
|
---|
| 738 | acc += bp[13 - 8];
|
---|
| 739 | acc += bp[14 - 8];
|
---|
| 740 | acc -= bp[9 - 8];
|
---|
| 741 | acc -= bp[10 - 8];
|
---|
| 742 | rp[4] = (unsigned int)acc;
|
---|
| 743 | acc >>= 32;
|
---|
| 744 |
|
---|
| 745 | acc += rp[5];
|
---|
| 746 | acc += bp[13 - 8];
|
---|
| 747 | acc += bp[13 - 8];
|
---|
| 748 | acc += bp[14 - 8];
|
---|
| 749 | acc += bp[14 - 8];
|
---|
| 750 | acc += bp[15 - 8];
|
---|
| 751 | acc -= bp[10 - 8];
|
---|
| 752 | acc -= bp[11 - 8];
|
---|
| 753 | rp[5] = (unsigned int)acc;
|
---|
| 754 | acc >>= 32;
|
---|
| 755 |
|
---|
| 756 | acc += rp[6];
|
---|
| 757 | acc += bp[14 - 8];
|
---|
| 758 | acc += bp[14 - 8];
|
---|
| 759 | acc += bp[15 - 8];
|
---|
| 760 | acc += bp[15 - 8];
|
---|
| 761 | acc += bp[14 - 8];
|
---|
| 762 | acc += bp[13 - 8];
|
---|
| 763 | acc -= bp[8 - 8];
|
---|
| 764 | acc -= bp[9 - 8];
|
---|
| 765 | rp[6] = (unsigned int)acc;
|
---|
| 766 | acc >>= 32;
|
---|
| 767 |
|
---|
| 768 | acc += rp[7];
|
---|
| 769 | acc += bp[15 - 8];
|
---|
| 770 | acc += bp[15 - 8];
|
---|
| 771 | acc += bp[15 - 8];
|
---|
| 772 | acc += bp[8 - 8];
|
---|
| 773 | acc -= bp[10 - 8];
|
---|
| 774 | acc -= bp[11 - 8];
|
---|
| 775 | acc -= bp[12 - 8];
|
---|
| 776 | acc -= bp[13 - 8];
|
---|
| 777 | rp[7] = (unsigned int)acc;
|
---|
| 778 |
|
---|
| 779 | carry = (int)(acc >> 32);
|
---|
| 780 | }
|
---|
| 781 | #else
|
---|
| 782 | {
|
---|
| 783 | BN_ULONG t_d[BN_NIST_256_TOP];
|
---|
| 784 |
|
---|
| 785 | /*
|
---|
| 786 | * S1
|
---|
| 787 | */
|
---|
| 788 | nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0);
|
---|
| 789 | /*
|
---|
| 790 | * S2
|
---|
| 791 | */
|
---|
| 792 | nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0);
|
---|
| 793 | carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
|
---|
| 794 | /* left shift */
|
---|
| 795 | {
|
---|
| 796 | register BN_ULONG *ap, t, c;
|
---|
| 797 | ap = t_d;
|
---|
| 798 | c = 0;
|
---|
| 799 | for (i = BN_NIST_256_TOP; i != 0; --i) {
|
---|
| 800 | t = *ap;
|
---|
| 801 | *(ap++) = ((t << 1) | c) & BN_MASK2;
|
---|
| 802 | c = (t & BN_TBIT) ? 1 : 0;
|
---|
| 803 | }
|
---|
| 804 | carry <<= 1;
|
---|
| 805 | carry |= c;
|
---|
| 806 | }
|
---|
| 807 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 808 | /*
|
---|
| 809 | * S3
|
---|
| 810 | */
|
---|
| 811 | nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8);
|
---|
| 812 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 813 | /*
|
---|
| 814 | * S4
|
---|
| 815 | */
|
---|
| 816 | nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9);
|
---|
| 817 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 818 | /*
|
---|
| 819 | * D1
|
---|
| 820 | */
|
---|
| 821 | nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11);
|
---|
| 822 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 823 | /*
|
---|
| 824 | * D2
|
---|
| 825 | */
|
---|
| 826 | nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12);
|
---|
| 827 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 828 | /*
|
---|
| 829 | * D3
|
---|
| 830 | */
|
---|
| 831 | nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13);
|
---|
| 832 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 833 | /*
|
---|
| 834 | * D4
|
---|
| 835 | */
|
---|
| 836 | nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14);
|
---|
| 837 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
|
---|
| 838 |
|
---|
| 839 | }
|
---|
| 840 | #endif
|
---|
| 841 | /* see BN_nist_mod_224 for explanation */
|
---|
| 842 | u.f = bn_sub_words;
|
---|
| 843 | if (carry > 0)
|
---|
| 844 | carry =
|
---|
| 845 | (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1],
|
---|
| 846 | BN_NIST_256_TOP);
|
---|
| 847 | else if (carry < 0) {
|
---|
| 848 | carry =
|
---|
| 849 | (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1],
|
---|
| 850 | BN_NIST_256_TOP);
|
---|
| 851 | mask = 0 - (PTR_SIZE_INT) carry;
|
---|
| 852 | u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
|
---|
| 853 | ((PTR_SIZE_INT) bn_add_words & ~mask);
|
---|
| 854 | } else
|
---|
| 855 | carry = 1;
|
---|
| 856 |
|
---|
| 857 | mask =
|
---|
| 858 | 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP);
|
---|
| 859 | mask &= 0 - (PTR_SIZE_INT) carry;
|
---|
| 860 | res = c_d;
|
---|
| 861 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
|
---|
| 862 | ((PTR_SIZE_INT) r_d & mask));
|
---|
| 863 | nist_cp_bn(r_d, res, BN_NIST_256_TOP);
|
---|
| 864 | r->top = BN_NIST_256_TOP;
|
---|
| 865 | bn_correct_top(r);
|
---|
| 866 |
|
---|
| 867 | return 1;
|
---|
| 868 | }
|
---|
| 869 |
|
---|
| 870 | #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
|
---|
| 871 | { \
|
---|
| 872 | bn_cp_32(to, 0, from, (a12) - 12) \
|
---|
| 873 | bn_cp_32(to, 1, from, (a11) - 12) \
|
---|
| 874 | bn_cp_32(to, 2, from, (a10) - 12) \
|
---|
| 875 | bn_cp_32(to, 3, from, (a9) - 12) \
|
---|
| 876 | bn_cp_32(to, 4, from, (a8) - 12) \
|
---|
| 877 | bn_cp_32(to, 5, from, (a7) - 12) \
|
---|
| 878 | bn_cp_32(to, 6, from, (a6) - 12) \
|
---|
| 879 | bn_cp_32(to, 7, from, (a5) - 12) \
|
---|
| 880 | bn_cp_32(to, 8, from, (a4) - 12) \
|
---|
| 881 | bn_cp_32(to, 9, from, (a3) - 12) \
|
---|
| 882 | bn_cp_32(to, 10, from, (a2) - 12) \
|
---|
| 883 | bn_cp_32(to, 11, from, (a1) - 12) \
|
---|
| 884 | }
|
---|
| 885 |
|
---|
| 886 | int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
---|
| 887 | BN_CTX *ctx)
|
---|
| 888 | {
|
---|
| 889 | int i, top = a->top;
|
---|
| 890 | int carry = 0;
|
---|
| 891 | register BN_ULONG *r_d, *a_d = a->d;
|
---|
| 892 | union {
|
---|
| 893 | BN_ULONG bn[BN_NIST_384_TOP];
|
---|
| 894 | unsigned int ui[BN_NIST_384_TOP * sizeof(BN_ULONG) /
|
---|
| 895 | sizeof(unsigned int)];
|
---|
| 896 | } buf;
|
---|
| 897 | BN_ULONG c_d[BN_NIST_384_TOP], *res;
|
---|
| 898 | PTR_SIZE_INT mask;
|
---|
| 899 | union {
|
---|
| 900 | bn_addsub_f f;
|
---|
| 901 | PTR_SIZE_INT p;
|
---|
| 902 | } u;
|
---|
| 903 | static const BIGNUM _bignum_nist_p_384_sqr = {
|
---|
| 904 | (BN_ULONG *)_nist_p_384_sqr,
|
---|
| 905 | OSSL_NELEM(_nist_p_384_sqr),
|
---|
| 906 | OSSL_NELEM(_nist_p_384_sqr),
|
---|
| 907 | 0, BN_FLG_STATIC_DATA
|
---|
| 908 | };
|
---|
| 909 |
|
---|
| 910 | field = &_bignum_nist_p_384; /* just to make sure */
|
---|
| 911 |
|
---|
| 912 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0)
|
---|
| 913 | return BN_nnmod(r, a, field, ctx);
|
---|
| 914 |
|
---|
| 915 | i = BN_ucmp(field, a);
|
---|
| 916 | if (i == 0) {
|
---|
| 917 | BN_zero(r);
|
---|
| 918 | return 1;
|
---|
| 919 | } else if (i > 0)
|
---|
| 920 | return (r == a) ? 1 : (BN_copy(r, a) != NULL);
|
---|
| 921 |
|
---|
| 922 | if (r != a) {
|
---|
| 923 | if (!bn_wexpand(r, BN_NIST_384_TOP))
|
---|
| 924 | return 0;
|
---|
| 925 | r_d = r->d;
|
---|
| 926 | nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
|
---|
| 927 | } else
|
---|
| 928 | r_d = a_d;
|
---|
| 929 |
|
---|
| 930 | nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP,
|
---|
| 931 | BN_NIST_384_TOP);
|
---|
| 932 |
|
---|
| 933 | #if defined(NIST_INT64)
|
---|
| 934 | {
|
---|
| 935 | NIST_INT64 acc; /* accumulator */
|
---|
| 936 | unsigned int *rp = (unsigned int *)r_d;
|
---|
| 937 | const unsigned int *bp = (const unsigned int *)buf.ui;
|
---|
| 938 |
|
---|
| 939 | acc = rp[0];
|
---|
| 940 | acc += bp[12 - 12];
|
---|
| 941 | acc += bp[21 - 12];
|
---|
| 942 | acc += bp[20 - 12];
|
---|
| 943 | acc -= bp[23 - 12];
|
---|
| 944 | rp[0] = (unsigned int)acc;
|
---|
| 945 | acc >>= 32;
|
---|
| 946 |
|
---|
| 947 | acc += rp[1];
|
---|
| 948 | acc += bp[13 - 12];
|
---|
| 949 | acc += bp[22 - 12];
|
---|
| 950 | acc += bp[23 - 12];
|
---|
| 951 | acc -= bp[12 - 12];
|
---|
| 952 | acc -= bp[20 - 12];
|
---|
| 953 | rp[1] = (unsigned int)acc;
|
---|
| 954 | acc >>= 32;
|
---|
| 955 |
|
---|
| 956 | acc += rp[2];
|
---|
| 957 | acc += bp[14 - 12];
|
---|
| 958 | acc += bp[23 - 12];
|
---|
| 959 | acc -= bp[13 - 12];
|
---|
| 960 | acc -= bp[21 - 12];
|
---|
| 961 | rp[2] = (unsigned int)acc;
|
---|
| 962 | acc >>= 32;
|
---|
| 963 |
|
---|
| 964 | acc += rp[3];
|
---|
| 965 | acc += bp[15 - 12];
|
---|
| 966 | acc += bp[12 - 12];
|
---|
| 967 | acc += bp[20 - 12];
|
---|
| 968 | acc += bp[21 - 12];
|
---|
| 969 | acc -= bp[14 - 12];
|
---|
| 970 | acc -= bp[22 - 12];
|
---|
| 971 | acc -= bp[23 - 12];
|
---|
| 972 | rp[3] = (unsigned int)acc;
|
---|
| 973 | acc >>= 32;
|
---|
| 974 |
|
---|
| 975 | acc += rp[4];
|
---|
| 976 | acc += bp[21 - 12];
|
---|
| 977 | acc += bp[21 - 12];
|
---|
| 978 | acc += bp[16 - 12];
|
---|
| 979 | acc += bp[13 - 12];
|
---|
| 980 | acc += bp[12 - 12];
|
---|
| 981 | acc += bp[20 - 12];
|
---|
| 982 | acc += bp[22 - 12];
|
---|
| 983 | acc -= bp[15 - 12];
|
---|
| 984 | acc -= bp[23 - 12];
|
---|
| 985 | acc -= bp[23 - 12];
|
---|
| 986 | rp[4] = (unsigned int)acc;
|
---|
| 987 | acc >>= 32;
|
---|
| 988 |
|
---|
| 989 | acc += rp[5];
|
---|
| 990 | acc += bp[22 - 12];
|
---|
| 991 | acc += bp[22 - 12];
|
---|
| 992 | acc += bp[17 - 12];
|
---|
| 993 | acc += bp[14 - 12];
|
---|
| 994 | acc += bp[13 - 12];
|
---|
| 995 | acc += bp[21 - 12];
|
---|
| 996 | acc += bp[23 - 12];
|
---|
| 997 | acc -= bp[16 - 12];
|
---|
| 998 | rp[5] = (unsigned int)acc;
|
---|
| 999 | acc >>= 32;
|
---|
| 1000 |
|
---|
| 1001 | acc += rp[6];
|
---|
| 1002 | acc += bp[23 - 12];
|
---|
| 1003 | acc += bp[23 - 12];
|
---|
| 1004 | acc += bp[18 - 12];
|
---|
| 1005 | acc += bp[15 - 12];
|
---|
| 1006 | acc += bp[14 - 12];
|
---|
| 1007 | acc += bp[22 - 12];
|
---|
| 1008 | acc -= bp[17 - 12];
|
---|
| 1009 | rp[6] = (unsigned int)acc;
|
---|
| 1010 | acc >>= 32;
|
---|
| 1011 |
|
---|
| 1012 | acc += rp[7];
|
---|
| 1013 | acc += bp[19 - 12];
|
---|
| 1014 | acc += bp[16 - 12];
|
---|
| 1015 | acc += bp[15 - 12];
|
---|
| 1016 | acc += bp[23 - 12];
|
---|
| 1017 | acc -= bp[18 - 12];
|
---|
| 1018 | rp[7] = (unsigned int)acc;
|
---|
| 1019 | acc >>= 32;
|
---|
| 1020 |
|
---|
| 1021 | acc += rp[8];
|
---|
| 1022 | acc += bp[20 - 12];
|
---|
| 1023 | acc += bp[17 - 12];
|
---|
| 1024 | acc += bp[16 - 12];
|
---|
| 1025 | acc -= bp[19 - 12];
|
---|
| 1026 | rp[8] = (unsigned int)acc;
|
---|
| 1027 | acc >>= 32;
|
---|
| 1028 |
|
---|
| 1029 | acc += rp[9];
|
---|
| 1030 | acc += bp[21 - 12];
|
---|
| 1031 | acc += bp[18 - 12];
|
---|
| 1032 | acc += bp[17 - 12];
|
---|
| 1033 | acc -= bp[20 - 12];
|
---|
| 1034 | rp[9] = (unsigned int)acc;
|
---|
| 1035 | acc >>= 32;
|
---|
| 1036 |
|
---|
| 1037 | acc += rp[10];
|
---|
| 1038 | acc += bp[22 - 12];
|
---|
| 1039 | acc += bp[19 - 12];
|
---|
| 1040 | acc += bp[18 - 12];
|
---|
| 1041 | acc -= bp[21 - 12];
|
---|
| 1042 | rp[10] = (unsigned int)acc;
|
---|
| 1043 | acc >>= 32;
|
---|
| 1044 |
|
---|
| 1045 | acc += rp[11];
|
---|
| 1046 | acc += bp[23 - 12];
|
---|
| 1047 | acc += bp[20 - 12];
|
---|
| 1048 | acc += bp[19 - 12];
|
---|
| 1049 | acc -= bp[22 - 12];
|
---|
| 1050 | rp[11] = (unsigned int)acc;
|
---|
| 1051 |
|
---|
| 1052 | carry = (int)(acc >> 32);
|
---|
| 1053 | }
|
---|
| 1054 | #else
|
---|
| 1055 | {
|
---|
| 1056 | BN_ULONG t_d[BN_NIST_384_TOP];
|
---|
| 1057 |
|
---|
| 1058 | /*
|
---|
| 1059 | * S1
|
---|
| 1060 | */
|
---|
| 1061 | nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, 21 - 4);
|
---|
| 1062 | /* left shift */
|
---|
| 1063 | {
|
---|
| 1064 | register BN_ULONG *ap, t, c;
|
---|
| 1065 | ap = t_d;
|
---|
| 1066 | c = 0;
|
---|
| 1067 | for (i = 3; i != 0; --i) {
|
---|
| 1068 | t = *ap;
|
---|
| 1069 | *(ap++) = ((t << 1) | c) & BN_MASK2;
|
---|
| 1070 | c = (t & BN_TBIT) ? 1 : 0;
|
---|
| 1071 | }
|
---|
| 1072 | *ap = c;
|
---|
| 1073 | }
|
---|
| 1074 | carry =
|
---|
| 1075 | (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2),
|
---|
| 1076 | t_d, BN_NIST_256_TOP);
|
---|
| 1077 | /*
|
---|
| 1078 | * S2
|
---|
| 1079 | */
|
---|
| 1080 | carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP);
|
---|
| 1081 | /*
|
---|
| 1082 | * S3
|
---|
| 1083 | */
|
---|
| 1084 | nist_set_384(t_d, buf.bn, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22,
|
---|
| 1085 | 21);
|
---|
| 1086 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1087 | /*
|
---|
| 1088 | * S4
|
---|
| 1089 | */
|
---|
| 1090 | nist_set_384(t_d, buf.bn, 19, 18, 17, 16, 15, 14, 13, 12, 20, 0, 23,
|
---|
| 1091 | 0);
|
---|
| 1092 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1093 | /*
|
---|
| 1094 | * S5
|
---|
| 1095 | */
|
---|
| 1096 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 23, 22, 21, 20, 0, 0, 0, 0);
|
---|
| 1097 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1098 | /*
|
---|
| 1099 | * S6
|
---|
| 1100 | */
|
---|
| 1101 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 23, 22, 21, 0, 0, 20);
|
---|
| 1102 | carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1103 | /*
|
---|
| 1104 | * D1
|
---|
| 1105 | */
|
---|
| 1106 | nist_set_384(t_d, buf.bn, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12,
|
---|
| 1107 | 23);
|
---|
| 1108 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1109 | /*
|
---|
| 1110 | * D2
|
---|
| 1111 | */
|
---|
| 1112 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 22, 21, 20, 0);
|
---|
| 1113 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1114 | /*
|
---|
| 1115 | * D3
|
---|
| 1116 | */
|
---|
| 1117 | nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0);
|
---|
| 1118 | carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
|
---|
| 1119 |
|
---|
| 1120 | }
|
---|
| 1121 | #endif
|
---|
| 1122 | /* see BN_nist_mod_224 for explanation */
|
---|
| 1123 | u.f = bn_sub_words;
|
---|
| 1124 | if (carry > 0)
|
---|
| 1125 | carry =
|
---|
| 1126 | (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1],
|
---|
| 1127 | BN_NIST_384_TOP);
|
---|
| 1128 | else if (carry < 0) {
|
---|
| 1129 | carry =
|
---|
| 1130 | (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1],
|
---|
| 1131 | BN_NIST_384_TOP);
|
---|
| 1132 | mask = 0 - (PTR_SIZE_INT) carry;
|
---|
| 1133 | u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
|
---|
| 1134 | ((PTR_SIZE_INT) bn_add_words & ~mask);
|
---|
| 1135 | } else
|
---|
| 1136 | carry = 1;
|
---|
| 1137 |
|
---|
| 1138 | mask =
|
---|
| 1139 | 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP);
|
---|
| 1140 | mask &= 0 - (PTR_SIZE_INT) carry;
|
---|
| 1141 | res = c_d;
|
---|
| 1142 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
|
---|
| 1143 | ((PTR_SIZE_INT) r_d & mask));
|
---|
| 1144 | nist_cp_bn(r_d, res, BN_NIST_384_TOP);
|
---|
| 1145 | r->top = BN_NIST_384_TOP;
|
---|
| 1146 | bn_correct_top(r);
|
---|
| 1147 |
|
---|
| 1148 | return 1;
|
---|
| 1149 | }
|
---|
| 1150 |
|
---|
| 1151 | #define BN_NIST_521_RSHIFT (521%BN_BITS2)
|
---|
| 1152 | #define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
|
---|
| 1153 | #define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
|
---|
| 1154 |
|
---|
| 1155 | int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
|
---|
| 1156 | BN_CTX *ctx)
|
---|
| 1157 | {
|
---|
| 1158 | int top = a->top, i;
|
---|
| 1159 | BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res;
|
---|
| 1160 | PTR_SIZE_INT mask;
|
---|
| 1161 | static const BIGNUM _bignum_nist_p_521_sqr = {
|
---|
| 1162 | (BN_ULONG *)_nist_p_521_sqr,
|
---|
| 1163 | OSSL_NELEM(_nist_p_521_sqr),
|
---|
| 1164 | OSSL_NELEM(_nist_p_521_sqr),
|
---|
| 1165 | 0, BN_FLG_STATIC_DATA
|
---|
| 1166 | };
|
---|
| 1167 |
|
---|
| 1168 | field = &_bignum_nist_p_521; /* just to make sure */
|
---|
| 1169 |
|
---|
| 1170 | if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0)
|
---|
| 1171 | return BN_nnmod(r, a, field, ctx);
|
---|
| 1172 |
|
---|
| 1173 | i = BN_ucmp(field, a);
|
---|
| 1174 | if (i == 0) {
|
---|
| 1175 | BN_zero(r);
|
---|
| 1176 | return 1;
|
---|
| 1177 | } else if (i > 0)
|
---|
| 1178 | return (r == a) ? 1 : (BN_copy(r, a) != NULL);
|
---|
| 1179 |
|
---|
| 1180 | if (r != a) {
|
---|
| 1181 | if (!bn_wexpand(r, BN_NIST_521_TOP))
|
---|
| 1182 | return 0;
|
---|
| 1183 | r_d = r->d;
|
---|
| 1184 | nist_cp_bn(r_d, a_d, BN_NIST_521_TOP);
|
---|
| 1185 | } else
|
---|
| 1186 | r_d = a_d;
|
---|
| 1187 |
|
---|
| 1188 | /* upper 521 bits, copy ... */
|
---|
| 1189 | nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1),
|
---|
| 1190 | top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP);
|
---|
| 1191 | /* ... and right shift */
|
---|
| 1192 | for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) {
|
---|
| 1193 | #if 0
|
---|
| 1194 | /*
|
---|
| 1195 | * MSC ARM compiler [version 2013, presumably even earlier,
|
---|
| 1196 | * much earlier] miscompiles this code, but not one in
|
---|
| 1197 | * #else section. See RT#3541.
|
---|
| 1198 | */
|
---|
| 1199 | tmp = val >> BN_NIST_521_RSHIFT;
|
---|
| 1200 | val = t_d[i + 1];
|
---|
| 1201 | t_d[i] = (tmp | val << BN_NIST_521_LSHIFT) & BN_MASK2;
|
---|
| 1202 | #else
|
---|
| 1203 | t_d[i] = (val >> BN_NIST_521_RSHIFT |
|
---|
| 1204 | (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2;
|
---|
| 1205 | val = tmp;
|
---|
| 1206 | #endif
|
---|
| 1207 | }
|
---|
| 1208 | t_d[i] = val >> BN_NIST_521_RSHIFT;
|
---|
| 1209 | /* lower 521 bits */
|
---|
| 1210 | r_d[i] &= BN_NIST_521_TOP_MASK;
|
---|
| 1211 |
|
---|
| 1212 | bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP);
|
---|
| 1213 | mask =
|
---|
| 1214 | 0 - (PTR_SIZE_INT) bn_sub_words(t_d, r_d, _nist_p_521,
|
---|
| 1215 | BN_NIST_521_TOP);
|
---|
| 1216 | res = t_d;
|
---|
| 1217 | res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
|
---|
| 1218 | ((PTR_SIZE_INT) r_d & mask));
|
---|
| 1219 | nist_cp_bn(r_d, res, BN_NIST_521_TOP);
|
---|
| 1220 | r->top = BN_NIST_521_TOP;
|
---|
| 1221 | bn_correct_top(r);
|
---|
| 1222 |
|
---|
| 1223 | return 1;
|
---|
| 1224 | }
|
---|
| 1225 |
|
---|
| 1226 | int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a,
|
---|
| 1227 | const BIGNUM *field, BN_CTX *ctx) {
|
---|
| 1228 | if (BN_ucmp(&_bignum_nist_p_192, p) == 0)
|
---|
| 1229 | return BN_nist_mod_192;
|
---|
| 1230 | if (BN_ucmp(&_bignum_nist_p_224, p) == 0)
|
---|
| 1231 | return BN_nist_mod_224;
|
---|
| 1232 | if (BN_ucmp(&_bignum_nist_p_256, p) == 0)
|
---|
| 1233 | return BN_nist_mod_256;
|
---|
| 1234 | if (BN_ucmp(&_bignum_nist_p_384, p) == 0)
|
---|
| 1235 | return BN_nist_mod_384;
|
---|
| 1236 | if (BN_ucmp(&_bignum_nist_p_521, p) == 0)
|
---|
| 1237 | return BN_nist_mod_521;
|
---|
| 1238 | return 0;
|
---|
| 1239 | }
|
---|