59
59
#include "bn_lcl.h"
60
60
#include "cryptlib.h"
62
63
#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
63
64
#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
64
65
#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
65
66
#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
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67
#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
69
/* pre-computed tables are "carry-less" values of modulus*(i+1) */
69
static const BN_ULONG _nist_p_192[] =
70
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
71
0xFFFFFFFFFFFFFFFFULL};
72
static const BN_ULONG _nist_p_224[] =
71
static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
72
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
73
{0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
74
{0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
76
static const BN_ULONG _nist_p_192_sqr[] = {
77
0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
78
0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
80
static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
73
81
{0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
74
0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
75
static const BN_ULONG _nist_p_256[] =
82
0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
83
{0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
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0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
86
static const BN_ULONG _nist_p_224_sqr[] = {
87
0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
88
0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
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0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
92
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
76
93
{0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
77
0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
78
static const BN_ULONG _nist_p_384[] =
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{0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
80
0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
81
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
94
0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
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{0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
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0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
97
{0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
98
0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
99
{0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
100
0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
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{0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
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0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
104
static const BN_ULONG _nist_p_256_sqr[] = {
105
0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
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0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
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0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
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0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
110
static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
111
{0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
112
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
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{0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
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{0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
117
{0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL,
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0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
119
{0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
120
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
122
static const BN_ULONG _nist_p_384_sqr[] = {
123
0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
124
0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
125
0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
126
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
82
128
static const BN_ULONG _nist_p_521[] =
83
129
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
84
130
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
85
131
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
86
132
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
87
133
0x00000000000001FFULL};
134
static const BN_ULONG _nist_p_521_sqr[] = {
135
0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL,
136
0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL,
137
0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL,
138
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
139
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
140
0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL
88
142
#elif BN_BITS2 == 32
89
static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
90
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
91
static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
92
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
93
static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
94
0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
95
static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
96
0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
97
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
143
static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
144
{0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
145
{0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
146
{0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
148
static const BN_ULONG _nist_p_192_sqr[] = {
149
0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
150
0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
152
static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
153
{0x00000001,0x00000000,0x00000000,0xFFFFFFFF,
154
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
155
{0x00000002,0x00000000,0x00000000,0xFFFFFFFE,
156
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
158
static const BN_ULONG _nist_p_224_sqr[] = {
159
0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
160
0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002,
161
0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF,
162
0xFFFFFFFF,0xFFFFFFFF
164
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
165
{0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000,
166
0x00000000,0x00000000,0x00000001,0xFFFFFFFF},
167
{0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0x00000001,
168
0x00000000,0x00000000,0x00000002,0xFFFFFFFE},
169
{0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0x00000002,
170
0x00000000,0x00000000,0x00000003,0xFFFFFFFD},
171
{0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0x00000003,
172
0x00000000,0x00000000,0x00000004,0xFFFFFFFC},
173
{0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004,
174
0x00000000,0x00000000,0x00000005,0xFFFFFFFB},
176
static const BN_ULONG _nist_p_256_sqr[] = {
177
0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
178
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001,
179
0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001,
180
0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE
182
static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
183
{0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,
184
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
185
{0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
186
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
187
{0xFFFFFFFD,0x00000002,0x00000000,0xFFFFFFFD,0xFFFFFFFC,0xFFFFFFFF,
188
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
189
{0xFFFFFFFC,0x00000003,0x00000000,0xFFFFFFFC,0xFFFFFFFB,0xFFFFFFFF,
190
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
191
{0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF,
192
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
194
static const BN_ULONG _nist_p_384_sqr[] = {
195
0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE,
196
0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000,
197
0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
198
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
98
200
static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
99
201
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
100
202
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
101
203
0xFFFFFFFF,0x000001FF};
103
static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
104
0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
105
static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
106
0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
107
static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
108
0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
110
static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
111
0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
112
0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
113
static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
114
0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
115
0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
116
0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
118
static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
119
0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
121
static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
122
0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
123
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
124
static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
125
0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
126
0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
127
static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
128
0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
129
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
130
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
131
static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
132
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
133
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
134
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
135
0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
204
static const BN_ULONG _nist_p_521_sqr[] = {
205
0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
206
0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
207
0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF,
208
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
209
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
210
0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF
213
#error "unsupported BN_BITS2"
217
static const BIGNUM _bignum_nist_p_192 =
219
(BN_ULONG *)_nist_p_192[0],
226
static const BIGNUM _bignum_nist_p_224 =
228
(BN_ULONG *)_nist_p_224[0],
235
static const BIGNUM _bignum_nist_p_256 =
237
(BN_ULONG *)_nist_p_256[0],
244
static const BIGNUM _bignum_nist_p_384 =
246
(BN_ULONG *)_nist_p_384[0],
253
static const BIGNUM _bignum_nist_p_521 =
255
(BN_ULONG *)_nist_p_521,
139
263
const BIGNUM *BN_get0_nist_prime_192(void)
141
static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
142
BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
143
return &const_nist_192;
265
return &_bignum_nist_p_192;
146
268
const BIGNUM *BN_get0_nist_prime_224(void)
148
static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
149
BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
150
return &const_nist_224;
270
return &_bignum_nist_p_224;
153
273
const BIGNUM *BN_get0_nist_prime_256(void)
155
static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
156
BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
157
return &const_nist_256;
275
return &_bignum_nist_p_256;
160
278
const BIGNUM *BN_get0_nist_prime_384(void)
162
static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
163
BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
164
return &const_nist_384;
280
return &_bignum_nist_p_384;
167
283
const BIGNUM *BN_get0_nist_prime_521(void)
169
static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
170
BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
171
return &const_nist_521;
285
return &_bignum_nist_p_521;
174
/* some misc internal functions */
176
static BN_ULONG _256_data[BN_NIST_256_TOP*6];
177
static int _is_set_256_data = 0;
178
static void _init_256_data(void);
180
static BN_ULONG _384_data[BN_NIST_384_TOP*8];
181
static int _is_set_384_data = 0;
182
static void _init_384_data(void);
185
#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
187
289
static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
190
BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
191
for (i = (top); i != 0; i--)
193
for (i = (max) - (top); i != 0; i--)
194
*_tmp1++ = (BN_ULONG) 0;
292
BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
295
OPENSSL_assert(top <= max);
297
for (i = (top); i != 0; i--)
299
for (i = (max) - (top); i != 0; i--)
300
*_tmp1++ = (BN_ULONG) 0;
197
303
static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
200
BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
201
for (i = (top); i != 0; i--)
306
BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
307
for (i = (top); i != 0; i--)
205
311
#if BN_BITS2 == 64
206
#define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
312
#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
207
313
#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
209
#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
210
#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
315
* two following macros are implemented under assumption that they
316
* are called in a sequence with *ascending* n, i.e. as they are...
318
#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))\
319
:(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
320
#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
321
#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
212
323
#define bn_cp_64(to, n, from, m) \
475
/* copy upper 256 bits of 448 bit number ... */
476
nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
477
/* ... and right shift by 32 to obtain upper 224 bits */
478
nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
479
/* truncate lower part to 224 bits too */
480
r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
368
482
nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
370
484
nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
371
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
485
carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
373
486
nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
374
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
487
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
376
488
nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
377
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
489
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
379
490
nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
380
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
491
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
494
carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
386
if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
499
carry = (int)bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP);
501
carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1;
389
504
else if (carry < 0)
392
if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
506
/* it's a bit more comlicated logic in this case.
507
* if bn_add_words yields no carry, then result
508
* has to be adjusted by unconditionally *adding*
509
* the modulus. but if it does, then result has
510
* to be compared to the modulus and conditionally
511
* adjusted by *subtracting* the latter. */
512
carry = (int)bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP);
513
mask = 0-(size_t)carry;
514
u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
519
/* otherwise it's effectively same as in BN_nist_mod_192... */
520
mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
521
mask &= 0-(size_t)carry;
522
res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
523
nist_cp_bn(r_d, res, BN_NIST_224_TOP);
396
524
r->top = BN_NIST_224_TOP;
397
525
bn_correct_top(r);
398
if (BN_ucmp(r, field) >= 0)
400
bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
411
static void _init_256_data(void)
414
BN_ULONG *tmp1 = _256_data;
415
const BN_ULONG *tmp2 = tmp1;
417
memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
418
tmp1 += BN_NIST_256_TOP;
422
bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
424
tmp1 += BN_NIST_256_TOP;
426
_is_set_256_data = 1;
430
530
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
432
if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
433
if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
434
if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
435
if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
436
if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
437
if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
438
if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
439
if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
532
bn_cp_32(to, 0, from, (a8) - 8) \
533
bn_cp_32(to, 1, from, (a7) - 8) \
534
bn_cp_32(to, 2, from, (a6) - 8) \
535
bn_cp_32(to, 3, from, (a5) - 8) \
536
bn_cp_32(to, 4, from, (a4) - 8) \
537
bn_cp_32(to, 5, from, (a3) - 8) \
538
bn_cp_32(to, 6, from, (a2) - 8) \
539
bn_cp_32(to, 7, from, (a1) - 8) \
442
542
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
446
545
int i, top = a->top;
448
547
register BN_ULONG *a_d = a->d, *r_d;
449
548
BN_ULONG t_d[BN_NIST_256_TOP],
450
t_d2[BN_NIST_256_TOP],
451
buf[BN_NIST_256_TOP];
453
if (!_is_set_256_data)
455
CRYPTO_w_lock(CRYPTO_LOCK_BN);
457
if (!_is_set_256_data)
460
CRYPTO_w_unlock(CRYPTO_LOCK_BN);
549
buf[BN_NIST_256_TOP],
550
c_d[BN_NIST_256_TOP],
553
union { bn_addsub_f f; size_t p; } u;
554
static const BIGNUM _bignum_nist_p_256_sqr = {
555
(BN_ULONG *)_nist_p_256_sqr,
556
sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
557
sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
558
0,BN_FLG_STATIC_DATA };
560
field = &_bignum_nist_p_256; /* just to make sure */
562
if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
563
return BN_nnmod(r, a, field, ctx);
463
565
i = BN_ucmp(field, a);
501
599
*(ap++)=((t<<1)|c)&BN_MASK2;
502
600
c=(t & BN_TBIT)?1:0;
508
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
605
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
511
607
nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
512
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
608
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
515
610
nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
516
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
611
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
519
613
nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
520
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
614
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
523
616
nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
524
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
617
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
527
619
nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
528
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
620
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
531
622
nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
532
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
623
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
625
/* see BN_nist_mod_224 for explanation */
628
carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
538
bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
539
--carry, BN_NIST_256_TOP);
543
bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
544
--carry, BN_NIST_256_TOP);
631
carry = (int)bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP);
632
mask = 0-(size_t)carry;
633
u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
638
mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
639
mask &= 0-(size_t)carry;
640
res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
641
nist_cp_bn(r_d, res, BN_NIST_256_TOP);
548
642
r->top = BN_NIST_256_TOP;
549
643
bn_correct_top(r);
550
if (BN_ucmp(r, field) >= 0)
552
bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
563
static void _init_384_data(void)
566
BN_ULONG *tmp1 = _384_data;
567
const BN_ULONG *tmp2 = tmp1;
569
memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
570
tmp1 += BN_NIST_384_TOP;
574
bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
576
tmp1 += BN_NIST_384_TOP;
578
_is_set_384_data = 1;
582
648
#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
584
if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
585
if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
586
if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
587
if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
588
if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
589
if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
590
if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
591
if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
592
if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
593
if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
594
if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
595
if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
650
bn_cp_32(to, 0, from, (a12) - 12) \
651
bn_cp_32(to, 1, from, (a11) - 12) \
652
bn_cp_32(to, 2, from, (a10) - 12) \
653
bn_cp_32(to, 3, from, (a9) - 12) \
654
bn_cp_32(to, 4, from, (a8) - 12) \
655
bn_cp_32(to, 5, from, (a7) - 12) \
656
bn_cp_32(to, 6, from, (a6) - 12) \
657
bn_cp_32(to, 7, from, (a5) - 12) \
658
bn_cp_32(to, 8, from, (a4) - 12) \
659
bn_cp_32(to, 9, from, (a3) - 12) \
660
bn_cp_32(to, 10, from, (a2) - 12) \
661
bn_cp_32(to, 11, from, (a1) - 12) \
598
664
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
602
667
int i, top = a->top;
604
669
register BN_ULONG *r_d, *a_d = a->d;
605
670
BN_ULONG t_d[BN_NIST_384_TOP],
606
buf[BN_NIST_384_TOP];
608
if (!_is_set_384_data)
610
CRYPTO_w_lock(CRYPTO_LOCK_BN);
612
if (!_is_set_384_data)
615
CRYPTO_w_unlock(CRYPTO_LOCK_BN);
671
buf[BN_NIST_384_TOP],
672
c_d[BN_NIST_384_TOP],
675
union { bn_addsub_f f; size_t p; } u;
676
static const BIGNUM _bignum_nist_p_384_sqr = {
677
(BN_ULONG *)_nist_p_384_sqr,
678
sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
679
sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
680
0,BN_FLG_STATIC_DATA };
683
field = &_bignum_nist_p_384; /* just to make sure */
685
if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
686
return BN_nnmod(r, a, field, ctx);
618
688
i = BN_ucmp(field, a);
646
713
register BN_ULONG *ap,t,c;
649
for (i = BN_NIST_256_TOP; i != 0; --i)
716
for (i = 3; i != 0; --i)
652
719
*(ap++)=((t<<1)|c)&BN_MASK2;
653
720
c=(t & BN_TBIT)?1:0;
656
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
657
t_d, BN_NIST_256_TOP))
724
carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
725
t_d, BN_NIST_256_TOP);
660
if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP))
727
carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
663
729
nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
664
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
730
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
667
732
nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
668
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
733
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
671
nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
672
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
673
t_d, BN_NIST_256_TOP))
735
nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
736
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
676
738
nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
677
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
739
carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
680
741
nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
681
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
742
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
684
744
nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
685
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
745
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
688
747
nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
689
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
748
carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
750
/* see BN_nist_mod_224 for explanation */
753
carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP);
695
bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
696
--carry, BN_NIST_384_TOP);
700
bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
701
--carry, BN_NIST_384_TOP);
756
carry = (int)bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP);
757
mask = 0-(size_t)carry;
758
u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
763
mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
764
mask &= 0-(size_t)carry;
765
res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
766
nist_cp_bn(r_d, res, BN_NIST_384_TOP);
705
767
r->top = BN_NIST_384_TOP;
706
768
bn_correct_top(r);
707
if (BN_ucmp(r, field) >= 0)
709
bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
773
#define BN_NIST_521_RSHIFT (521%BN_BITS2)
774
#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
775
#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
719
777
int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
723
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
725
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
727
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
729
#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
735
/* check whether a reduction is necessary */
737
if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
738
(!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
781
BN_ULONG *r_d, *a_d = a->d,
782
t_d[BN_NIST_521_TOP],
785
static const BIGNUM _bignum_nist_p_521_sqr = {
786
(BN_ULONG *)_nist_p_521_sqr,
787
sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
788
sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
789
0,BN_FLG_STATIC_DATA };
791
field = &_bignum_nist_p_521; /* just to make sure */
793
if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
794
return BN_nnmod(r, a, field, ctx);
796
i = BN_ucmp(field, a);
739
803
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
742
tmp = BN_CTX_get(ctx);
746
if (!bn_wexpand(tmp, BN_NIST_521_TOP))
748
nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
750
tmp->top = BN_NIST_521_TOP;
751
tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
754
if (!BN_rshift(r, a, 521))
757
if (!BN_uadd(r, tmp, r))
761
if (top == BN_NIST_521_TOP &&
762
(r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
765
r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
807
if (!bn_wexpand(r,BN_NIST_521_TOP))
810
nist_cp_bn(r_d,a_d, BN_NIST_521_TOP);
815
/* upper 521 bits, copy ... */
816
nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
817
/* ... and right shift */
818
for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
820
tmp = val>>BN_NIST_521_RSHIFT;
822
t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
824
t_d[i] = val>>BN_NIST_521_RSHIFT;
826
r_d[i] &= BN_NIST_521_TOP_MASK;
828
bn_add_words(r_d,r_d,t_d,BN_NIST_521_TOP);
829
mask = 0-(size_t)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
830
res = (BN_ULONG *)(((size_t)t_d&~mask) | ((size_t)r_d&mask));
831
nist_cp_bn(r_d,res,BN_NIST_521_TOP);
832
r->top = BN_NIST_521_TOP;
767
833
bn_correct_top(r);