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Diffstat (limited to 'src/lib/libcrypto/bn/bn_nist.c')
-rw-r--r--src/lib/libcrypto/bn/bn_nist.c776
1 files changed, 460 insertions, 316 deletions
diff --git a/src/lib/libcrypto/bn/bn_nist.c b/src/lib/libcrypto/bn/bn_nist.c
index e14232fdbb..2ca5b01391 100644
--- a/src/lib/libcrypto/bn/bn_nist.c
+++ b/src/lib/libcrypto/bn/bn_nist.c
@@ -59,109 +59,266 @@
59#include "bn_lcl.h" 59#include "bn_lcl.h"
60#include "cryptlib.h" 60#include "cryptlib.h"
61 61
62
62#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2 63#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
63#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2 64#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
64#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2 65#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
65#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2 66#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
66#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2 67#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
67 68
69/* pre-computed tables are "carry-less" values of modulus*(i+1) */
68#if BN_BITS2 == 64 70#if BN_BITS2 == 64
69static const BN_ULONG _nist_p_192[] = 71static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
70 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL, 72 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
71 0xFFFFFFFFFFFFFFFFULL}; 73 {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
72static const BN_ULONG _nist_p_224[] = 74 {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
75 };
76static const BN_ULONG _nist_p_192_sqr[] = {
77 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
78 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
79 };
80static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
73 {0x0000000000000001ULL,0xFFFFFFFF00000000ULL, 81 {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
74 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}; 82 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
75static const BN_ULONG _nist_p_256[] = 83 {0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
84 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
85 };
86static const BN_ULONG _nist_p_224_sqr[] = {
87 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
88 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
89 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
90 0xFFFFFFFFFFFFFFFFULL
91 };
92static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
76 {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL, 93 {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
77 0x0000000000000000ULL,0xFFFFFFFF00000001ULL}; 94 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
78static const BN_ULONG _nist_p_384[] = 95 {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
79 {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL, 96 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
80 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL, 97 {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
81 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}; 98 0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
99 {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
100 0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
101 {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
102 0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
103 };
104static const BN_ULONG _nist_p_256_sqr[] = {
105 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
106 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
107 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
108 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
109 };
110static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
111 {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
112 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
113 {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
114 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
115 {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL,
116 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
117 {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL,
118 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
119 {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
120 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
121 };
122static const BN_ULONG _nist_p_384_sqr[] = {
123 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
124 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
125 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
126 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
127 };
82static const BN_ULONG _nist_p_521[] = 128static const BN_ULONG _nist_p_521[] =
83 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 129 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
84 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 130 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
85 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 131 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
86 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 132 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
87 0x00000000000001FFULL}; 133 0x00000000000001FFULL};
134static 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
141 };
88#elif BN_BITS2 == 32 142#elif BN_BITS2 == 32
89static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE, 143static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
90 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; 144 {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
91static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000, 145 {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
92 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; 146 {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
93static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 147 };
94 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF}; 148static const BN_ULONG _nist_p_192_sqr[] = {
95static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000, 149 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
96 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 150 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
97 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; 151 };
152static 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}
157 };
158static 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
163 };
164static 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},
175 };
176static 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
181 };
182static 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},
193 };
194static 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
199 };
98static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 200static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
99 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 201 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
100 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 202 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
101 0xFFFFFFFF,0x000001FF}; 203 0xFFFFFFFF,0x000001FF};
204static 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
211 };
212#else
213#error "unsupported BN_BITS2"
102#endif 214#endif
103 215
216
217static const BIGNUM _bignum_nist_p_192 =
218 {
219 (BN_ULONG *)_nist_p_192[0],
220 BN_NIST_192_TOP,
221 BN_NIST_192_TOP,
222 0,
223 BN_FLG_STATIC_DATA
224 };
225
226static const BIGNUM _bignum_nist_p_224 =
227 {
228 (BN_ULONG *)_nist_p_224[0],
229 BN_NIST_224_TOP,
230 BN_NIST_224_TOP,
231 0,
232 BN_FLG_STATIC_DATA
233 };
234
235static const BIGNUM _bignum_nist_p_256 =
236 {
237 (BN_ULONG *)_nist_p_256[0],
238 BN_NIST_256_TOP,
239 BN_NIST_256_TOP,
240 0,
241 BN_FLG_STATIC_DATA
242 };
243
244static const BIGNUM _bignum_nist_p_384 =
245 {
246 (BN_ULONG *)_nist_p_384[0],
247 BN_NIST_384_TOP,
248 BN_NIST_384_TOP,
249 0,
250 BN_FLG_STATIC_DATA
251 };
252
253static const BIGNUM _bignum_nist_p_521 =
254 {
255 (BN_ULONG *)_nist_p_521,
256 BN_NIST_521_TOP,
257 BN_NIST_521_TOP,
258 0,
259 BN_FLG_STATIC_DATA
260 };
261
262
104const BIGNUM *BN_get0_nist_prime_192(void) 263const BIGNUM *BN_get0_nist_prime_192(void)
105 { 264 {
106 static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192, 265 return &_bignum_nist_p_192;
107 BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
108 return &const_nist_192;
109 } 266 }
110 267
111const BIGNUM *BN_get0_nist_prime_224(void) 268const BIGNUM *BN_get0_nist_prime_224(void)
112 { 269 {
113 static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224, 270 return &_bignum_nist_p_224;
114 BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
115 return &const_nist_224;
116 } 271 }
117 272
118const BIGNUM *BN_get0_nist_prime_256(void) 273const BIGNUM *BN_get0_nist_prime_256(void)
119 { 274 {
120 static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256, 275 return &_bignum_nist_p_256;
121 BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
122 return &const_nist_256;
123 } 276 }
124 277
125const BIGNUM *BN_get0_nist_prime_384(void) 278const BIGNUM *BN_get0_nist_prime_384(void)
126 { 279 {
127 static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384, 280 return &_bignum_nist_p_384;
128 BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
129 return &const_nist_384;
130 } 281 }
131 282
132const BIGNUM *BN_get0_nist_prime_521(void) 283const BIGNUM *BN_get0_nist_prime_521(void)
133 { 284 {
134 static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521, 285 return &_bignum_nist_p_521;
135 BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
136 return &const_nist_521;
137 } 286 }
138 287
139#define BN_NIST_ADD_ONE(a) while (!(*(a)=(*(a)+1)&BN_MASK2)) ++(a);
140 288
141static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max) 289static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
142 { 290 {
143 int i; 291 int i;
144 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); 292 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
145 for (i = (top); i != 0; i--) 293
146 *_tmp1++ = *_tmp2++; 294#ifdef BN_DEBUG
147 for (i = (max) - (top); i != 0; i--) 295 OPENSSL_assert(top <= max);
148 *_tmp1++ = (BN_ULONG) 0; 296#endif
149 } 297 for (i = (top); i != 0; i--)
298 *_tmp1++ = *_tmp2++;
299 for (i = (max) - (top); i != 0; i--)
300 *_tmp1++ = (BN_ULONG) 0;
301 }
150 302
151static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top) 303static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
152 { 304 {
153 int i; 305 int i;
154 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); 306 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
155 for (i = (top); i != 0; i--) 307 for (i = (top); i != 0; i--)
156 *_tmp1++ = *_tmp2++; 308 *_tmp1++ = *_tmp2++;
157 } 309 }
158 310
159#if BN_BITS2 == 64 311#if BN_BITS2 == 64
160#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; 312#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
161#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; 313#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
162/* TBD */ 314/*
163#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; 315 * two following macros are implemented under assumption that they
164#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; 316 * are called in a sequence with *ascending* n, i.e. as they are...
317 */
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)
165#else 322#else
166#define bn_cp_64(to, n, from, m) \ 323#define bn_cp_64(to, n, from, m) \
167 { \ 324 { \
@@ -182,9 +339,9 @@ static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
182 339
183#define nist_set_192(to, from, a1, a2, a3) \ 340#define nist_set_192(to, from, a1, a2, a3) \
184 { \ 341 { \
185 if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\ 342 bn_cp_64(to, 0, from, (a3) - 3) \
186 bn_cp_64(to, 1, from, (a2) - 3) \ 343 bn_cp_64(to, 1, from, (a2) - 3) \
187 if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\ 344 bn_cp_64(to, 2, from, (a1) - 3) \
188 } 345 }
189 346
190int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, 347int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
@@ -198,6 +355,16 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
198 c_d[BN_NIST_192_TOP], 355 c_d[BN_NIST_192_TOP],
199 *res; 356 *res;
200 size_t mask; 357 size_t mask;
358 static const BIGNUM _bignum_nist_p_192_sqr = {
359 (BN_ULONG *)_nist_p_192_sqr,
360 sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
361 sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
362 0,BN_FLG_STATIC_DATA };
363
364 field = &_bignum_nist_p_192; /* just to make sure */
365
366 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
367 return BN_nnmod(r, a, field, ctx);
201 368
202 i = BN_ucmp(field, a); 369 i = BN_ucmp(field, a);
203 if (i == 0) 370 if (i == 0)
@@ -208,9 +375,6 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
208 else if (i > 0) 375 else if (i > 0)
209 return (r == a) ? 1 : (BN_copy(r ,a) != NULL); 376 return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
210 377
211 if (top == BN_NIST_192_TOP)
212 return BN_usub(r, a, field);
213
214 if (r != a) 378 if (r != a)
215 { 379 {
216 if (!bn_wexpand(r, BN_NIST_192_TOP)) 380 if (!bn_wexpand(r, BN_NIST_192_TOP))
@@ -224,23 +388,26 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
224 nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP); 388 nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
225 389
226 nist_set_192(t_d, buf, 0, 3, 3); 390 nist_set_192(t_d, buf, 0, 3, 3);
227 carry = bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); 391 carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
228 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
229 mask = ~mask | (0-(size_t)carry);
230 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
231
232 nist_set_192(t_d, buf, 4, 4, 0); 392 nist_set_192(t_d, buf, 4, 4, 0);
233 carry = bn_add_words(r_d, res, t_d, BN_NIST_192_TOP); 393 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
234 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
235 mask = ~mask | (0-(size_t)carry);
236 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
237
238 nist_set_192(t_d, buf, 5, 5, 5) 394 nist_set_192(t_d, buf, 5, 5, 5)
239 carry = bn_add_words(r_d, res, t_d, BN_NIST_192_TOP); 395 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
240 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
241 mask = ~mask | (0-(size_t)carry);
242 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
243 396
397 if (carry > 0)
398 carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP);
399 else
400 carry = 1;
401
402 /*
403 * we need 'if (carry==0 || result>=modulus) result-=modulus;'
404 * as comparison implies subtraction, we can write
405 * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
406 * this is what happens below, but without explicit if:-) a.
407 */
408 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
409 mask &= 0-(size_t)carry;
410 res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
244 nist_cp_bn(r_d, res, BN_NIST_192_TOP); 411 nist_cp_bn(r_d, res, BN_NIST_192_TOP);
245 r->top = BN_NIST_192_TOP; 412 r->top = BN_NIST_192_TOP;
246 bn_correct_top(r); 413 bn_correct_top(r);
@@ -248,21 +415,22 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
248 return 1; 415 return 1;
249 } 416 }
250 417
418typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int);
419
251#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ 420#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
252 { \ 421 { \
253 if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\ 422 bn_cp_32(to, 0, from, (a7) - 7) \
254 if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\ 423 bn_cp_32(to, 1, from, (a6) - 7) \
255 if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\ 424 bn_cp_32(to, 2, from, (a5) - 7) \
256 if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\ 425 bn_cp_32(to, 3, from, (a4) - 7) \
257 if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\ 426 bn_cp_32(to, 4, from, (a3) - 7) \
258 if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\ 427 bn_cp_32(to, 5, from, (a2) - 7) \
259 if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\ 428 bn_cp_32(to, 6, from, (a1) - 7) \
260 } 429 }
261 430
262int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, 431int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
263 BN_CTX *ctx) 432 BN_CTX *ctx)
264 { 433 {
265#if BN_BITS2 == 32
266 int top = a->top, i; 434 int top = a->top, i;
267 int carry; 435 int carry;
268 BN_ULONG *r_d, *a_d = a->d; 436 BN_ULONG *r_d, *a_d = a->d;
@@ -271,6 +439,18 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
271 c_d[BN_NIST_224_TOP], 439 c_d[BN_NIST_224_TOP],
272 *res; 440 *res;
273 size_t mask; 441 size_t mask;
442 union { bn_addsub_f f; size_t p; } u;
443 static const BIGNUM _bignum_nist_p_224_sqr = {
444 (BN_ULONG *)_nist_p_224_sqr,
445 sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
446 sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
447 0,BN_FLG_STATIC_DATA };
448
449
450 field = &_bignum_nist_p_224; /* just to make sure */
451
452 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
453 return BN_nnmod(r, a, field, ctx);
274 454
275 i = BN_ucmp(field, a); 455 i = BN_ucmp(field, a);
276 if (i == 0) 456 if (i == 0)
@@ -281,9 +461,6 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
281 else if (i > 0) 461 else if (i > 0)
282 return (r == a)? 1 : (BN_copy(r ,a) != NULL); 462 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
283 463
284 if (top == BN_NIST_224_TOP)
285 return BN_usub(r, a, field);
286
287 if (r != a) 464 if (r != a)
288 { 465 {
289 if (!bn_wexpand(r, BN_NIST_224_TOP)) 466 if (!bn_wexpand(r, BN_NIST_224_TOP))
@@ -294,67 +471,77 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
294 else 471 else
295 r_d = a_d; 472 r_d = a_d;
296 473
474#if BN_BITS2==64
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;
481#else
297 nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP); 482 nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
298 483#endif
299 nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0); 484 nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
300 carry = 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);
301 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
302 mask = ~mask | (0-(size_t)carry);
303 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
304
305 nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0); 486 nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
306 carry = bn_add_words(r_d, res, t_d, BN_NIST_224_TOP); 487 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
307 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
308 mask = ~mask | (0-(size_t)carry);
309 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
310
311 nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7); 488 nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
312#if BRANCH_FREE 489 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
313 carry = bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP);
314 bn_add_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
315 mask = 0-(size_t)carry;
316 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
317#else
318 if (bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP))
319 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
320#endif
321 nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11); 490 nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
322#if BRANCH_FREE 491 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
323 carry = bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP);
324 bn_add_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
325 mask = 0-(size_t)carry;
326 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
327 492
328 nist_cp_bn(r_d, res, BN_NIST_224_TOP); 493#if BN_BITS2==64
329#else 494 carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
330 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP)) 495#endif
331 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP); 496 u.f = bn_sub_words;
497 if (carry > 0)
498 {
499 carry = (int)bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP);
500#if BN_BITS2==64
501 carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1;
332#endif 502#endif
503 }
504 else if (carry < 0)
505 {
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);
515 }
516 else
517 carry = 1;
518
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);
333 r->top = BN_NIST_224_TOP; 524 r->top = BN_NIST_224_TOP;
334 bn_correct_top(r); 525 bn_correct_top(r);
335 526
336 return 1; 527 return 1;
337#else /* BN_BITS!=32 */
338 return 0;
339#endif
340 } 528 }
341 529
342#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ 530#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
343 { \ 531 { \
344 if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\ 532 bn_cp_32(to, 0, from, (a8) - 8) \
345 if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\ 533 bn_cp_32(to, 1, from, (a7) - 8) \
346 if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\ 534 bn_cp_32(to, 2, from, (a6) - 8) \
347 if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\ 535 bn_cp_32(to, 3, from, (a5) - 8) \
348 if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\ 536 bn_cp_32(to, 4, from, (a4) - 8) \
349 if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\ 537 bn_cp_32(to, 5, from, (a3) - 8) \
350 if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\ 538 bn_cp_32(to, 6, from, (a2) - 8) \
351 if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\ 539 bn_cp_32(to, 7, from, (a1) - 8) \
352 } 540 }
353 541
354int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, 542int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
355 BN_CTX *ctx) 543 BN_CTX *ctx)
356 { 544 {
357#if BN_BITS2 == 32
358 int i, top = a->top; 545 int i, top = a->top;
359 int carry = 0; 546 int carry = 0;
360 register BN_ULONG *a_d = a->d, *r_d; 547 register BN_ULONG *a_d = a->d, *r_d;
@@ -363,6 +550,17 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
363 c_d[BN_NIST_256_TOP], 550 c_d[BN_NIST_256_TOP],
364 *res; 551 *res;
365 size_t mask; 552 size_t mask;
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 };
559
560 field = &_bignum_nist_p_256; /* just to make sure */
561
562 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
563 return BN_nnmod(r, a, field, ctx);
366 564
367 i = BN_ucmp(field, a); 565 i = BN_ucmp(field, a);
368 if (i == 0) 566 if (i == 0)
@@ -373,9 +571,6 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
373 else if (i > 0) 571 else if (i > 0)
374 return (r == a)? 1 : (BN_copy(r ,a) != NULL); 572 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
375 573
376 if (top == BN_NIST_256_TOP)
377 return BN_usub(r, a, field);
378
379 if (r != a) 574 if (r != a)
380 { 575 {
381 if (!bn_wexpand(r, BN_NIST_256_TOP)) 576 if (!bn_wexpand(r, BN_NIST_256_TOP))
@@ -391,111 +586,84 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
391 /*S1*/ 586 /*S1*/
392 nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0); 587 nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
393 /*S2*/ 588 /*S2*/
394 nist_set_256(c_d,buf, 0, 15, 14, 13, 12, 0, 0, 0); 589 nist_set_256(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0);
395 carry = bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP); 590 carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
396 mask = 0-(size_t)bn_sub_words(c_d,t_d,_nist_p_256,BN_NIST_256_TOP); 591 /* left shift */
397 mask = ~mask | (0-(size_t)carry); 592 {
398 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)t_d&~mask)); 593 register BN_ULONG *ap,t,c;
399 594 ap = t_d;
400 carry = bn_add_words(t_d, res, res, BN_NIST_256_TOP); 595 c=0;
401 mask = 0-(size_t)bn_sub_words(c_d,t_d,_nist_p_256,BN_NIST_256_TOP); 596 for (i = BN_NIST_256_TOP; i != 0; --i)
402 mask = ~mask | (0-(size_t)carry); 597 {
403 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)t_d&~mask)); 598 t= *ap;
404 599 *(ap++)=((t<<1)|c)&BN_MASK2;
405 carry = bn_add_words(r_d, r_d, res, BN_NIST_256_TOP); 600 c=(t & BN_TBIT)?1:0;
406 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP); 601 }
407 mask = ~mask | (0-(size_t)carry); 602 carry <<= 1;
408 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask)); 603 carry |= c;
409 604 }
605 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
410 /*S3*/ 606 /*S3*/
411 nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8); 607 nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
412 carry = bn_add_words(r_d, res, t_d, BN_NIST_256_TOP); 608 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
413 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
414 mask = ~mask | (0-(size_t)carry);
415 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
416
417 /*S4*/ 609 /*S4*/
418 nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9); 610 nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
419 carry = bn_add_words(r_d, res, t_d, BN_NIST_256_TOP); 611 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
420 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
421 mask = ~mask | (0-(size_t)carry);
422 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
423
424 /*D1*/ 612 /*D1*/
425 nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11); 613 nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
426#if BRANCH_FREE 614 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
427 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
428 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
429 mask = 0-(size_t)carry;
430 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
431#else
432 if (bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP))
433 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
434#endif
435 /*D2*/ 615 /*D2*/
436 nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12); 616 nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
437#if BRANCH_FREE 617 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
438 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
439 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
440 mask = 0-(size_t)carry;
441 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
442#else
443 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
444 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
445#endif
446 /*D3*/ 618 /*D3*/
447 nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13); 619 nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
448#if BRANCH_FREE 620 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
449 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
450 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
451 mask = 0-(size_t)carry;
452 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
453#else
454 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
455 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
456#endif
457 /*D4*/ 621 /*D4*/
458 nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14); 622 nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
459#if BRANCH_FREE 623 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
460 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
461 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
462 mask = 0-(size_t)carry;
463 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
464 624
465 nist_cp_bn(r_d, res, BN_NIST_384_TOP); 625 /* see BN_nist_mod_224 for explanation */
466#else 626 u.f = bn_sub_words;
467 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) 627 if (carry > 0)
468 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP); 628 carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
469#endif 629 else if (carry < 0)
630 {
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);
634 }
635 else
636 carry = 1;
637
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);
470 r->top = BN_NIST_256_TOP; 642 r->top = BN_NIST_256_TOP;
471 bn_correct_top(r); 643 bn_correct_top(r);
472 644
473 return 1; 645 return 1;
474#else /* BN_BITS!=32 */
475 return 0;
476#endif
477 } 646 }
478 647
479#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \ 648#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
480 { \ 649 { \
481 if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\ 650 bn_cp_32(to, 0, from, (a12) - 12) \
482 if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\ 651 bn_cp_32(to, 1, from, (a11) - 12) \
483 if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\ 652 bn_cp_32(to, 2, from, (a10) - 12) \
484 if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\ 653 bn_cp_32(to, 3, from, (a9) - 12) \
485 if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\ 654 bn_cp_32(to, 4, from, (a8) - 12) \
486 if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\ 655 bn_cp_32(to, 5, from, (a7) - 12) \
487 if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\ 656 bn_cp_32(to, 6, from, (a6) - 12) \
488 if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\ 657 bn_cp_32(to, 7, from, (a5) - 12) \
489 if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\ 658 bn_cp_32(to, 8, from, (a4) - 12) \
490 if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\ 659 bn_cp_32(to, 9, from, (a3) - 12) \
491 if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\ 660 bn_cp_32(to, 10, from, (a2) - 12) \
492 if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\ 661 bn_cp_32(to, 11, from, (a1) - 12) \
493 } 662 }
494 663
495int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, 664int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
496 BN_CTX *ctx) 665 BN_CTX *ctx)
497 { 666 {
498#if BN_BITS2 == 32
499 int i, top = a->top; 667 int i, top = a->top;
500 int carry = 0; 668 int carry = 0;
501 register BN_ULONG *r_d, *a_d = a->d; 669 register BN_ULONG *r_d, *a_d = a->d;
@@ -504,6 +672,18 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
504 c_d[BN_NIST_384_TOP], 672 c_d[BN_NIST_384_TOP],
505 *res; 673 *res;
506 size_t mask; 674 size_t mask;
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 };
681
682
683 field = &_bignum_nist_p_384; /* just to make sure */
684
685 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
686 return BN_nnmod(r, a, field, ctx);
507 687
508 i = BN_ucmp(field, a); 688 i = BN_ucmp(field, a);
509 if (i == 0) 689 if (i == 0)
@@ -514,9 +694,6 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
514 else if (i > 0) 694 else if (i > 0)
515 return (r == a)? 1 : (BN_copy(r ,a) != NULL); 695 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
516 696
517 if (top == BN_NIST_384_TOP)
518 return BN_usub(r, a, field);
519
520 if (r != a) 697 if (r != a)
521 { 698 {
522 if (!bn_wexpand(r, BN_NIST_384_TOP)) 699 if (!bn_wexpand(r, BN_NIST_384_TOP))
@@ -544,149 +721,116 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
544 } 721 }
545 *ap=c; 722 *ap=c;
546 } 723 }
547 carry = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), 724 carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
548 t_d, BN_NIST_256_TOP); 725 t_d, BN_NIST_256_TOP);
549 /*
550 * we need if (result>=modulus) subtract(result,modulus);
551 * in n-bit space this can be expressed as
552 * if (carry || result>=modulus) subtract(result,modulus);
553 * the catch is that comparison implies subtraction and
554 * therefore one can write tmp=subtract(result,modulus);
555 * and then if(carry || !borrow) result=tmp; this's what
556 * happens below, but without explicit if:-) a.
557 */
558 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
559 mask = ~mask | (0-(size_t)carry);
560 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
561
562 /*S2 */ 726 /*S2 */
563 carry = bn_add_words(r_d, res, buf, BN_NIST_384_TOP); 727 carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
564 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
565 mask = ~mask | (0-(size_t)carry);
566 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
567
568 /*S3*/ 728 /*S3*/
569 nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21); 729 nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
570 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP); 730 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
571 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
572 mask = ~mask | (0-(size_t)carry);
573 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
574
575 /*S4*/ 731 /*S4*/
576 nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0); 732 nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
577 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP); 733 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
578 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
579 mask = ~mask | (0-(size_t)carry);
580 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
581
582 /*S5*/ 734 /*S5*/
583 nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0); 735 nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
584 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP); 736 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
585 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
586 mask = ~mask | (0-(size_t)carry);
587 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
588
589 /*S6*/ 737 /*S6*/
590 nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20); 738 nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
591 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP); 739 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
592 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
593 mask = ~mask | (0-(size_t)carry);
594 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
595
596 /*D1*/ 740 /*D1*/
597 nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23); 741 nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
598#if BRANCH_FREE 742 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
599 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
600 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
601 mask = 0-(size_t)carry;
602 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
603#else
604 if (bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP))
605 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
606#endif
607 /*D2*/ 743 /*D2*/
608 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0); 744 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
609#if BRANCH_FREE 745 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
610 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
611 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
612 mask = 0-(size_t)carry;
613 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
614#else
615 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
616 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
617#endif
618 /*D3*/ 746 /*D3*/
619 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0); 747 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
620#if BRANCH_FREE 748 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
621 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP); 749
622 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP); 750 /* see BN_nist_mod_224 for explanation */
623 mask = 0-(size_t)carry; 751 u.f = bn_sub_words;
624 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask)); 752 if (carry > 0)
753 carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP);
754 else if (carry < 0)
755 {
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);
759 }
760 else
761 carry = 1;
625 762
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));
626 nist_cp_bn(r_d, res, BN_NIST_384_TOP); 766 nist_cp_bn(r_d, res, BN_NIST_384_TOP);
627#else
628 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
629 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
630#endif
631 r->top = BN_NIST_384_TOP; 767 r->top = BN_NIST_384_TOP;
632 bn_correct_top(r); 768 bn_correct_top(r);
633 769
634 return 1; 770 return 1;
635#else /* BN_BITS!=32 */
636 return 0;
637#endif
638 } 771 }
639 772
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)
776
640int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, 777int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
641 BN_CTX *ctx) 778 BN_CTX *ctx)
642 { 779 {
643#if BN_BITS2 == 64 780 int top = a->top, i;
644#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF 781 BN_ULONG *r_d, *a_d = a->d,
645#elif BN_BITS2 == 32 782 t_d[BN_NIST_521_TOP],
646#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF 783 val,tmp,*res;
647#endif 784 size_t mask;
648 int top, ret = 0; 785 static const BIGNUM _bignum_nist_p_521_sqr = {
649 BN_ULONG *r_d; 786 (BN_ULONG *)_nist_p_521_sqr,
650 BIGNUM *tmp; 787 sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
651 788 sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
652 /* check whether a reduction is necessary */ 789 0,BN_FLG_STATIC_DATA };
653 top = a->top;
654 if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
655 (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
656 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
657 790
658 BN_CTX_start(ctx); 791 field = &_bignum_nist_p_521; /* just to make sure */
659 tmp = BN_CTX_get(ctx);
660 if (!tmp)
661 goto err;
662 792
663 if (!bn_wexpand(tmp, BN_NIST_521_TOP)) 793 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
664 goto err; 794 return BN_nnmod(r, a, field, ctx);
665 nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
666 795
667 tmp->top = BN_NIST_521_TOP; 796 i = BN_ucmp(field, a);
668 tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; 797 if (i == 0)
669 bn_correct_top(tmp); 798 {
799 BN_zero(r);
800 return 1;
801 }
802 else if (i > 0)
803 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
670 804
671 if (!BN_rshift(r, a, 521)) 805 if (r != a)
672 goto err; 806 {
807 if (!bn_wexpand(r,BN_NIST_521_TOP))
808 return 0;
809 r_d = r->d;
810 nist_cp_bn(r_d,a_d, BN_NIST_521_TOP);
811 }
812 else
813 r_d = a_d;
673 814
674 if (!BN_uadd(r, tmp, r)) 815 /* upper 521 bits, copy ... */
675 goto err; 816 nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
676 top = r->top; 817 /* ... and right shift */
677 r_d = r->d; 818 for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
678 if (top == BN_NIST_521_TOP &&
679 (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
680 { 819 {
681 BN_NIST_ADD_ONE(r_d) 820 tmp = val>>BN_NIST_521_RSHIFT;
682 r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; 821 val = t_d[i+1];
822 t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
683 } 823 }
824 t_d[i] = val>>BN_NIST_521_RSHIFT;
825 /* lower 521 bits */
826 r_d[i] &= BN_NIST_521_TOP_MASK;
827
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;
684 bn_correct_top(r); 833 bn_correct_top(r);
685 834
686 ret = 1; 835 return 1;
687err:
688 BN_CTX_end(ctx);
689
690 bn_check_top(r);
691 return ret;
692 } 836 }
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-08-15 09:00:40 +0000