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-rw-r--r--src/lib/libcrypto/bn/bn_nist.c706
1 files changed, 383 insertions, 323 deletions
diff --git a/src/lib/libcrypto/bn/bn_nist.c b/src/lib/libcrypto/bn/bn_nist.c
index 1fc94f55c3..2ca5b01391 100644
--- a/src/lib/libcrypto/bn/bn_nist.c
+++ b/src/lib/libcrypto/bn/bn_nist.c
@@ -66,46 +66,157 @@
66#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2 66#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
67#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2 67#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
68 68
69/* pre-computed tables are "carry-less" values of modulus*(i+1) */
69#if BN_BITS2 == 64 70#if BN_BITS2 == 64
70static const BN_ULONG _nist_p_192[] = 71static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
71 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL, 72 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
72 0xFFFFFFFFFFFFFFFFULL}; 73 {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
73static 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] = {
74 {0x0000000000000001ULL,0xFFFFFFFF00000000ULL, 81 {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
75 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}; 82 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
76static 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] = {
77 {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL, 93 {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
78 0x0000000000000000ULL,0xFFFFFFFF00000001ULL}; 94 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
79static const BN_ULONG _nist_p_384[] = 95 {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
80 {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL, 96 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
81 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL, 97 {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
82 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 };
83static const BN_ULONG _nist_p_521[] = 128static const BN_ULONG _nist_p_521[] =
84 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 129 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
85 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 130 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
86 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 131 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
87 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, 132 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
88 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 };
89#elif BN_BITS2 == 32 142#elif BN_BITS2 == 32
90static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE, 143static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
91 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; 144 {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
92static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000, 145 {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
93 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; 146 {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
94static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 147 };
95 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF}; 148static const BN_ULONG _nist_p_192_sqr[] = {
96static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000, 149 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
97 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 150 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
98 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 };
99static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 200static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
100 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 201 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
101 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, 202 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
102 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"
103#endif 214#endif
104 215
105 216
106static const BIGNUM _bignum_nist_p_192 = 217static const BIGNUM _bignum_nist_p_192 =
107 { 218 {
108 (BN_ULONG *)_nist_p_192, 219 (BN_ULONG *)_nist_p_192[0],
109 BN_NIST_192_TOP, 220 BN_NIST_192_TOP,
110 BN_NIST_192_TOP, 221 BN_NIST_192_TOP,
111 0, 222 0,
@@ -114,7 +225,7 @@ static const BIGNUM _bignum_nist_p_192 =
114 225
115static const BIGNUM _bignum_nist_p_224 = 226static const BIGNUM _bignum_nist_p_224 =
116 { 227 {
117 (BN_ULONG *)_nist_p_224, 228 (BN_ULONG *)_nist_p_224[0],
118 BN_NIST_224_TOP, 229 BN_NIST_224_TOP,
119 BN_NIST_224_TOP, 230 BN_NIST_224_TOP,
120 0, 231 0,
@@ -123,7 +234,7 @@ static const BIGNUM _bignum_nist_p_224 =
123 234
124static const BIGNUM _bignum_nist_p_256 = 235static const BIGNUM _bignum_nist_p_256 =
125 { 236 {
126 (BN_ULONG *)_nist_p_256, 237 (BN_ULONG *)_nist_p_256[0],
127 BN_NIST_256_TOP, 238 BN_NIST_256_TOP,
128 BN_NIST_256_TOP, 239 BN_NIST_256_TOP,
129 0, 240 0,
@@ -132,7 +243,7 @@ static const BIGNUM _bignum_nist_p_256 =
132 243
133static const BIGNUM _bignum_nist_p_384 = 244static const BIGNUM _bignum_nist_p_384 =
134 { 245 {
135 (BN_ULONG *)_nist_p_384, 246 (BN_ULONG *)_nist_p_384[0],
136 BN_NIST_384_TOP, 247 BN_NIST_384_TOP,
137 BN_NIST_384_TOP, 248 BN_NIST_384_TOP,
138 0, 249 0,
@@ -180,7 +291,9 @@ static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
180 int i; 291 int i;
181 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); 292 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
182 293
294#ifdef BN_DEBUG
183 OPENSSL_assert(top <= max); 295 OPENSSL_assert(top <= max);
296#endif
184 for (i = (top); i != 0; i--) 297 for (i = (top); i != 0; i--)
185 *_tmp1++ = *_tmp2++; 298 *_tmp1++ = *_tmp2++;
186 for (i = (max) - (top); i != 0; i--) 299 for (i = (max) - (top); i != 0; i--)
@@ -198,9 +311,14 @@ static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
198#if BN_BITS2 == 64 311#if BN_BITS2 == 64
199#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;
200#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;
201/* TBD */ 314/*
202#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
203#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)
204#else 322#else
205#define bn_cp_64(to, n, from, m) \ 323#define bn_cp_64(to, n, from, m) \
206 { \ 324 { \
@@ -221,9 +339,9 @@ static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
221 339
222#define nist_set_192(to, from, a1, a2, a3) \ 340#define nist_set_192(to, from, a1, a2, a3) \
223 { \ 341 { \
224 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) \
225 bn_cp_64(to, 1, from, (a2) - 3) \ 343 bn_cp_64(to, 1, from, (a2) - 3) \
226 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) \
227 } 345 }
228 346
229int 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,
@@ -237,11 +355,16 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
237 c_d[BN_NIST_192_TOP], 355 c_d[BN_NIST_192_TOP],
238 *res; 356 *res;
239 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 };
240 363
241 field = &_bignum_nist_p_192; /* just to make sure */ 364 field = &_bignum_nist_p_192; /* just to make sure */
242 365
243 if (BN_is_negative(a) || a->top > 2*BN_NIST_192_TOP) 366 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
244 return BN_nnmod(r, field, a, ctx); 367 return BN_nnmod(r, a, field, ctx);
245 368
246 i = BN_ucmp(field, a); 369 i = BN_ucmp(field, a);
247 if (i == 0) 370 if (i == 0)
@@ -265,50 +388,49 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
265 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);
266 389
267 nist_set_192(t_d, buf, 0, 3, 3); 390 nist_set_192(t_d, buf, 0, 3, 3);
268 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);
269 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
270 mask = ~mask | (0-(size_t)carry);
271 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
272
273 nist_set_192(t_d, buf, 4, 4, 0); 392 nist_set_192(t_d, buf, 4, 4, 0);
274 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);
275 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
276 mask = ~mask | (0-(size_t)carry);
277 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
278
279 nist_set_192(t_d, buf, 5, 5, 5) 394 nist_set_192(t_d, buf, 5, 5, 5)
280 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);
281 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192,BN_NIST_192_TOP);
282 mask = ~mask | (0-(size_t)carry);
283 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
284 396
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));
285 nist_cp_bn(r_d, res, BN_NIST_192_TOP); 411 nist_cp_bn(r_d, res, BN_NIST_192_TOP);
286 r->top = BN_NIST_192_TOP; 412 r->top = BN_NIST_192_TOP;
287 bn_correct_top(r); 413 bn_correct_top(r);
288 414
289 if (BN_ucmp(field, r) <= 0)
290 {
291 if (!BN_usub(r, r, field)) return 0;
292 }
293
294 return 1; 415 return 1;
295 } 416 }
296 417
418typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int);
419
297#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) \
298 { \ 421 { \
299 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) \
300 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) \
301 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) \
302 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) \
303 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) \
304 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) \
305 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) \
306 } 429 }
307 430
308int 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,
309 BN_CTX *ctx) 432 BN_CTX *ctx)
310 { 433 {
311#if BN_BITS2 == 32
312 int top = a->top, i; 434 int top = a->top, i;
313 int carry; 435 int carry;
314 BN_ULONG *r_d, *a_d = a->d; 436 BN_ULONG *r_d, *a_d = a->d;
@@ -317,11 +439,18 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
317 c_d[BN_NIST_224_TOP], 439 c_d[BN_NIST_224_TOP],
318 *res; 440 *res;
319 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
320 449
321 field = &_bignum_nist_p_224; /* just to make sure */ 450 field = &_bignum_nist_p_224; /* just to make sure */
322 451
323 if (BN_is_negative(a) || a->top > 2*BN_NIST_224_TOP) 452 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
324 return BN_nnmod(r, field, a, ctx); 453 return BN_nnmod(r, a, field, ctx);
325 454
326 i = BN_ucmp(field, a); 455 i = BN_ucmp(field, a);
327 if (i == 0) 456 if (i == 0)
@@ -342,72 +471,77 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
342 else 471 else
343 r_d = a_d; 472 r_d = a_d;
344 473
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
345 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);
346 483#endif
347 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);
348 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);
349 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
350 mask = ~mask | (0-(size_t)carry);
351 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
352
353 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);
354 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);
355 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
356 mask = ~mask | (0-(size_t)carry);
357 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
358
359 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);
360#if BRANCH_FREE 489 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
361 carry = bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP);
362 bn_add_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
363 mask = 0-(size_t)carry;
364 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
365#else
366 if (bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP))
367 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
368#endif
369 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);
370#if BRANCH_FREE 491 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
371 carry = bn_sub_words(r_d, res, t_d, BN_NIST_224_TOP);
372 bn_add_words(c_d,r_d,_nist_p_224,BN_NIST_224_TOP);
373 mask = 0-(size_t)carry;
374 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
375 492
376 nist_cp_bn(r_d, res, BN_NIST_224_TOP); 493#if BN_BITS2==64
377#else 494 carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
378 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
379 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
380#endif 495#endif
381 r->top = BN_NIST_224_TOP; 496 u.f = bn_sub_words;
382 bn_correct_top(r); 497 if (carry > 0)
383
384 if (BN_ucmp(field, r) <= 0)
385 { 498 {
386 if (!BN_usub(r, r, field)) return 0; 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;
502#endif
387 } 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);
524 r->top = BN_NIST_224_TOP;
525 bn_correct_top(r);
388 526
389 return 1; 527 return 1;
390#else /* BN_BITS!=32 */
391 return 0;
392#endif
393 } 528 }
394 529
395#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) \
396 { \ 531 { \
397 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) \
398 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) \
399 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) \
400 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) \
401 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) \
402 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) \
403 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) \
404 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) \
405 } 540 }
406 541
407int 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,
408 BN_CTX *ctx) 543 BN_CTX *ctx)
409 { 544 {
410#if BN_BITS2 == 32
411 int i, top = a->top; 545 int i, top = a->top;
412 int carry = 0; 546 int carry = 0;
413 register BN_ULONG *a_d = a->d, *r_d; 547 register BN_ULONG *a_d = a->d, *r_d;
@@ -416,11 +550,17 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
416 c_d[BN_NIST_256_TOP], 550 c_d[BN_NIST_256_TOP],
417 *res; 551 *res;
418 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 };
419 559
420 field = &_bignum_nist_p_256; /* just to make sure */ 560 field = &_bignum_nist_p_256; /* just to make sure */
421 561
422 if (BN_is_negative(a) || a->top > 2*BN_NIST_256_TOP) 562 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
423 return BN_nnmod(r, field, a, ctx); 563 return BN_nnmod(r, a, field, ctx);
424 564
425 i = BN_ucmp(field, a); 565 i = BN_ucmp(field, a);
426 if (i == 0) 566 if (i == 0)
@@ -446,116 +586,84 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
446 /*S1*/ 586 /*S1*/
447 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);
448 /*S2*/ 588 /*S2*/
449 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);
450 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);
451 mask = 0-(size_t)bn_sub_words(c_d,t_d,_nist_p_256,BN_NIST_256_TOP); 591 /* left shift */
452 mask = ~mask | (0-(size_t)carry); 592 {
453 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)t_d&~mask)); 593 register BN_ULONG *ap,t,c;
454 594 ap = t_d;
455 carry = bn_add_words(t_d, res, res, BN_NIST_256_TOP); 595 c=0;
456 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)
457 mask = ~mask | (0-(size_t)carry); 597 {
458 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)t_d&~mask)); 598 t= *ap;
459 599 *(ap++)=((t<<1)|c)&BN_MASK2;
460 carry = bn_add_words(r_d, r_d, res, BN_NIST_256_TOP); 600 c=(t & BN_TBIT)?1:0;
461 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP); 601 }
462 mask = ~mask | (0-(size_t)carry); 602 carry <<= 1;
463 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask)); 603 carry |= c;
464 604 }
605 carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
465 /*S3*/ 606 /*S3*/
466 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);
467 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);
468 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
469 mask = ~mask | (0-(size_t)carry);
470 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
471
472 /*S4*/ 609 /*S4*/
473 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);
474 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);
475 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
476 mask = ~mask | (0-(size_t)carry);
477 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
478
479 /*D1*/ 612 /*D1*/
480 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);
481#if BRANCH_FREE 614 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
482 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
483 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
484 mask = 0-(size_t)carry;
485 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
486#else
487 if (bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP))
488 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
489#endif
490 /*D2*/ 615 /*D2*/
491 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);
492#if BRANCH_FREE 617 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
493 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
494 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
495 mask = 0-(size_t)carry;
496 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
497#else
498 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
499 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
500#endif
501 /*D3*/ 618 /*D3*/
502 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);
503#if BRANCH_FREE 620 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
504 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
505 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
506 mask = 0-(size_t)carry;
507 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
508#else
509 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
510 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
511#endif
512 /*D4*/ 621 /*D4*/
513 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);
514#if BRANCH_FREE 623 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
515 carry = bn_sub_words(r_d, res, t_d, BN_NIST_256_TOP);
516 bn_add_words(c_d,r_d,_nist_p_256,BN_NIST_256_TOP);
517 mask = 0-(size_t)carry;
518 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
519
520 nist_cp_bn(r_d, res, BN_NIST_384_TOP);
521#else
522 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
523 bn_add_words(r_d,r_d,_nist_p_256,BN_NIST_256_TOP);
524#endif
525 r->top = BN_NIST_256_TOP;
526 bn_correct_top(r);
527 624
528 if (BN_ucmp(field, r) <= 0) 625 /* see BN_nist_mod_224 for explanation */
626 u.f = bn_sub_words;
627 if (carry > 0)
628 carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
629 else if (carry < 0)
529 { 630 {
530 if (!BN_usub(r, r, field)) return 0; 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);
531 } 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);
642 r->top = BN_NIST_256_TOP;
643 bn_correct_top(r);
532 644
533 return 1; 645 return 1;
534#else /* BN_BITS!=32 */
535 return 0;
536#endif
537 } 646 }
538 647
539#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) \
540 { \ 649 { \
541 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) \
542 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) \
543 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) \
544 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) \
545 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) \
546 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) \
547 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) \
548 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) \
549 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) \
550 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) \
551 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) \
552 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) \
553 } 662 }
554 663
555int 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,
556 BN_CTX *ctx) 665 BN_CTX *ctx)
557 { 666 {
558#if BN_BITS2 == 32
559 int i, top = a->top; 667 int i, top = a->top;
560 int carry = 0; 668 int carry = 0;
561 register BN_ULONG *r_d, *a_d = a->d; 669 register BN_ULONG *r_d, *a_d = a->d;
@@ -564,11 +672,18 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
564 c_d[BN_NIST_384_TOP], 672 c_d[BN_NIST_384_TOP],
565 *res; 673 *res;
566 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
567 682
568 field = &_bignum_nist_p_384; /* just to make sure */ 683 field = &_bignum_nist_p_384; /* just to make sure */
569 684
570 if (BN_is_negative(a) || a->top > 2*BN_NIST_384_TOP) 685 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
571 return BN_nnmod(r, field, a, ctx); 686 return BN_nnmod(r, a, field, ctx);
572 687
573 i = BN_ucmp(field, a); 688 i = BN_ucmp(field, a);
574 if (i == 0) 689 if (i == 0)
@@ -606,171 +721,116 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
606 } 721 }
607 *ap=c; 722 *ap=c;
608 } 723 }
609 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),
610 t_d, BN_NIST_256_TOP); 725 t_d, BN_NIST_256_TOP);
611 /*
612 * we need if (result>=modulus) subtract(result,modulus);
613 * in n-bit space this can be expressed as
614 * if (carry || result>=modulus) subtract(result,modulus);
615 * the catch is that comparison implies subtraction and
616 * therefore one can write tmp=subtract(result,modulus);
617 * and then if(carry || !borrow) result=tmp; this's what
618 * happens below, but without explicit if:-) a.
619 */
620 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
621 mask = ~mask | (0-(size_t)carry);
622 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
623
624 /*S2 */ 726 /*S2 */
625 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);
626 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
627 mask = ~mask | (0-(size_t)carry);
628 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
629
630 /*S3*/ 728 /*S3*/
631 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);
632 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);
633 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
634 mask = ~mask | (0-(size_t)carry);
635 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
636
637 /*S4*/ 731 /*S4*/
638 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);
639 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);
640 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
641 mask = ~mask | (0-(size_t)carry);
642 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
643
644 /*S5*/ 734 /*S5*/
645 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);
646 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);
647 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
648 mask = ~mask | (0-(size_t)carry);
649 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
650
651 /*S6*/ 737 /*S6*/
652 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);
653 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);
654 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
655 mask = ~mask | (0-(size_t)carry);
656 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
657
658 /*D1*/ 740 /*D1*/
659 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);
660#if BRANCH_FREE 742 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
661 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
662 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
663 mask = 0-(size_t)carry;
664 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
665#else
666 if (bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP))
667 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
668#endif
669 /*D2*/ 743 /*D2*/
670 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);
671#if BRANCH_FREE 745 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
672 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
673 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
674 mask = 0-(size_t)carry;
675 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
676#else
677 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
678 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
679#endif
680 /*D3*/ 746 /*D3*/
681 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);
682#if BRANCH_FREE 748 carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
683 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
684 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
685 mask = 0-(size_t)carry;
686 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
687 749
750 /* see BN_nist_mod_224 for explanation */
751 u.f = bn_sub_words;
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;
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));
688 nist_cp_bn(r_d, res, BN_NIST_384_TOP); 766 nist_cp_bn(r_d, res, BN_NIST_384_TOP);
689#else
690 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
691 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
692#endif
693 r->top = BN_NIST_384_TOP; 767 r->top = BN_NIST_384_TOP;
694 bn_correct_top(r); 768 bn_correct_top(r);
695 769
696 if (BN_ucmp(field, r) <= 0)
697 {
698 if (!BN_usub(r, r, field)) return 0;
699 }
700
701 return 1; 770 return 1;
702#else /* BN_BITS!=32 */
703 return 0;
704#endif
705 } 771 }
706 772
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
707int 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,
708 BN_CTX *ctx) 778 BN_CTX *ctx)
709 { 779 {
710#if BN_BITS2 == 64 780 int top = a->top, i;
711#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF 781 BN_ULONG *r_d, *a_d = a->d,
712#elif BN_BITS2 == 32 782 t_d[BN_NIST_521_TOP],
713#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF 783 val,tmp,*res;
714#endif 784 size_t mask;
715 int top, ret = 0; 785 static const BIGNUM _bignum_nist_p_521_sqr = {
716 BIGNUM *tmp; 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 };
717 790
718 field = &_bignum_nist_p_521; /* just to make sure */ 791 field = &_bignum_nist_p_521; /* just to make sure */
719 792
720 if (BN_is_negative(a)) 793 if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
721 return BN_nnmod(r, field, a, ctx); 794 return BN_nnmod(r, a, field, ctx);
722 795
723 /* check whether a reduction is necessary */ 796 i = BN_ucmp(field, a);
724 top = a->top; 797 if (i == 0)
725 if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
726 (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
727 { 798 {
728 int i = BN_ucmp(field, a); 799 BN_zero(r);
729 if (i == 0) 800 return 1;
730 {
731 BN_zero(r);
732 return 1;
733 }
734 else
735 {
736#ifdef BN_DEBUG
737 OPENSSL_assert(i > 0); /* because 'field' is 1111...1111 */
738#endif
739 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
740 }
741 } 801 }
802 else if (i > 0)
803 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
742 804
743 if (BN_num_bits(a) > 2*521) 805 if (r != a)
744 return BN_nnmod(r, field, a, ctx);
745
746 BN_CTX_start(ctx);
747 tmp = BN_CTX_get(ctx);
748 if (!tmp)
749 goto err;
750
751 if (!bn_wexpand(tmp, BN_NIST_521_TOP))
752 goto err;
753 nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
754
755 tmp->top = BN_NIST_521_TOP;
756 tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
757 bn_correct_top(tmp);
758
759 if (!BN_rshift(r, a, 521))
760 goto err;
761
762 if (!BN_uadd(r, tmp, r))
763 goto err;
764
765 if (BN_ucmp(field, r) <= 0)
766 { 806 {
767 if (!BN_usub(r, r, field)) goto err; 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);
768 } 811 }
812 else
813 r_d = a_d;
769 814
770 ret = 1; 815 /* upper 521 bits, copy ... */
771err: 816 nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
772 BN_CTX_end(ctx); 817 /* ... and right shift */
818 for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
819 {
820 tmp = val>>BN_NIST_521_RSHIFT;
821 val = t_d[i+1];
822 t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
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;
833 bn_correct_top(r);
773 834
774 bn_check_top(r); 835 return 1;
775 return ret;
776 } 836 }
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-08-04 20:22:23 +0000