diff options
Diffstat (limited to 'src/lib/libcrypto/bn/bn_recp.c')
-rw-r--r-- | src/lib/libcrypto/bn/bn_recp.c | 223 |
1 files changed, 123 insertions, 100 deletions
diff --git a/src/lib/libcrypto/bn/bn_recp.c b/src/lib/libcrypto/bn/bn_recp.c index 0f808fca64..31fe4eb897 100644 --- a/src/lib/libcrypto/bn/bn_recp.c +++ b/src/lib/libcrypto/bn/bn_recp.c | |||
@@ -5,21 +5,21 @@ | |||
5 | * This package is an SSL implementation written | 5 | * This package is an SSL implementation written |
6 | * by Eric Young (eay@cryptsoft.com). | 6 | * by Eric Young (eay@cryptsoft.com). |
7 | * The implementation was written so as to conform with Netscapes SSL. | 7 | * The implementation was written so as to conform with Netscapes SSL. |
8 | * | 8 | * |
9 | * This library is free for commercial and non-commercial use as long as | 9 | * This library is free for commercial and non-commercial use as long as |
10 | * the following conditions are aheared to. The following conditions | 10 | * the following conditions are aheared to. The following conditions |
11 | * apply to all code found in this distribution, be it the RC4, RSA, | 11 | * apply to all code found in this distribution, be it the RC4, RSA, |
12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation | 12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation |
13 | * included with this distribution is covered by the same copyright terms | 13 | * included with this distribution is covered by the same copyright terms |
14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). | 14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). |
15 | * | 15 | * |
16 | * Copyright remains Eric Young's, and as such any Copyright notices in | 16 | * Copyright remains Eric Young's, and as such any Copyright notices in |
17 | * the code are not to be removed. | 17 | * the code are not to be removed. |
18 | * If this package is used in a product, Eric Young should be given attribution | 18 | * If this package is used in a product, Eric Young should be given attribution |
19 | * as the author of the parts of the library used. | 19 | * as the author of the parts of the library used. |
20 | * This can be in the form of a textual message at program startup or | 20 | * This can be in the form of a textual message at program startup or |
21 | * in documentation (online or textual) provided with the package. | 21 | * in documentation (online or textual) provided with the package. |
22 | * | 22 | * |
23 | * Redistribution and use in source and binary forms, with or without | 23 | * Redistribution and use in source and binary forms, with or without |
24 | * modification, are permitted provided that the following conditions | 24 | * modification, are permitted provided that the following conditions |
25 | * are met: | 25 | * are met: |
@@ -34,10 +34,10 @@ | |||
34 | * Eric Young (eay@cryptsoft.com)" | 34 | * Eric Young (eay@cryptsoft.com)" |
35 | * The word 'cryptographic' can be left out if the rouines from the library | 35 | * The word 'cryptographic' can be left out if the rouines from the library |
36 | * being used are not cryptographic related :-). | 36 | * being used are not cryptographic related :-). |
37 | * 4. If you include any Windows specific code (or a derivative thereof) from | 37 | * 4. If you include any Windows specific code (or a derivative thereof) from |
38 | * the apps directory (application code) you must include an acknowledgement: | 38 | * the apps directory (application code) you must include an acknowledgement: |
39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | 39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" |
40 | * | 40 | * |
41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | 41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND |
42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | 42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | 43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
@@ -49,7 +49,7 @@ | |||
49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | 49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | 50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
51 | * SUCH DAMAGE. | 51 | * SUCH DAMAGE. |
52 | * | 52 | * |
53 | * The licence and distribution terms for any publically available version or | 53 | * The licence and distribution terms for any publically available version or |
54 | * derivative of this code cannot be changed. i.e. this code cannot simply be | 54 | * derivative of this code cannot be changed. i.e. this code cannot simply be |
55 | * copied and put under another distribution licence | 55 | * copied and put under another distribution licence |
@@ -60,99 +60,110 @@ | |||
60 | #include "cryptlib.h" | 60 | #include "cryptlib.h" |
61 | #include "bn_lcl.h" | 61 | #include "bn_lcl.h" |
62 | 62 | ||
63 | void BN_RECP_CTX_init(BN_RECP_CTX *recp) | 63 | void |
64 | { | 64 | BN_RECP_CTX_init(BN_RECP_CTX *recp) |
65 | { | ||
65 | BN_init(&(recp->N)); | 66 | BN_init(&(recp->N)); |
66 | BN_init(&(recp->Nr)); | 67 | BN_init(&(recp->Nr)); |
67 | recp->num_bits=0; | 68 | recp->num_bits = 0; |
68 | recp->flags=0; | 69 | recp->flags = 0; |
69 | } | 70 | } |
70 | 71 | ||
71 | BN_RECP_CTX *BN_RECP_CTX_new(void) | 72 | BN_RECP_CTX * |
72 | { | 73 | BN_RECP_CTX_new(void) |
74 | { | ||
73 | BN_RECP_CTX *ret; | 75 | BN_RECP_CTX *ret; |
74 | 76 | ||
75 | if ((ret=(BN_RECP_CTX *)malloc(sizeof(BN_RECP_CTX))) == NULL) | 77 | if ((ret = (BN_RECP_CTX *)malloc(sizeof(BN_RECP_CTX))) == NULL) |
76 | return(NULL); | 78 | return (NULL); |
77 | 79 | ||
78 | BN_RECP_CTX_init(ret); | 80 | BN_RECP_CTX_init(ret); |
79 | ret->flags=BN_FLG_MALLOCED; | 81 | ret->flags = BN_FLG_MALLOCED; |
80 | return(ret); | 82 | return (ret); |
81 | } | 83 | } |
82 | 84 | ||
83 | void BN_RECP_CTX_free(BN_RECP_CTX *recp) | 85 | void |
84 | { | 86 | BN_RECP_CTX_free(BN_RECP_CTX *recp) |
85 | if(recp == NULL) | 87 | { |
86 | return; | 88 | if (recp == NULL) |
89 | return; | ||
87 | 90 | ||
88 | BN_free(&(recp->N)); | 91 | BN_free(&(recp->N)); |
89 | BN_free(&(recp->Nr)); | 92 | BN_free(&(recp->Nr)); |
90 | if (recp->flags & BN_FLG_MALLOCED) | 93 | if (recp->flags & BN_FLG_MALLOCED) |
91 | free(recp); | 94 | free(recp); |
92 | } | 95 | } |
93 | 96 | ||
94 | int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx) | 97 | int |
95 | { | 98 | BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx) |
96 | if (!BN_copy(&(recp->N),d)) return 0; | 99 | { |
100 | if (!BN_copy(&(recp->N), d)) | ||
101 | return 0; | ||
97 | BN_zero(&(recp->Nr)); | 102 | BN_zero(&(recp->Nr)); |
98 | recp->num_bits=BN_num_bits(d); | 103 | recp->num_bits = BN_num_bits(d); |
99 | recp->shift=0; | 104 | recp->shift = 0; |
100 | return(1); | 105 | return (1); |
101 | } | 106 | } |
102 | 107 | ||
103 | int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, | 108 | int |
104 | BN_RECP_CTX *recp, BN_CTX *ctx) | 109 | BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, |
105 | { | 110 | BN_RECP_CTX *recp, BN_CTX *ctx) |
106 | int ret=0; | 111 | { |
112 | int ret = 0; | ||
107 | BIGNUM *a; | 113 | BIGNUM *a; |
108 | const BIGNUM *ca; | 114 | const BIGNUM *ca; |
109 | 115 | ||
110 | BN_CTX_start(ctx); | 116 | BN_CTX_start(ctx); |
111 | if ((a = BN_CTX_get(ctx)) == NULL) goto err; | 117 | if ((a = BN_CTX_get(ctx)) == NULL) |
112 | if (y != NULL) | 118 | goto err; |
113 | { | 119 | if (y != NULL) { |
114 | if (x == y) | 120 | if (x == y) { |
115 | { if (!BN_sqr(a,x,ctx)) goto err; } | 121 | if (!BN_sqr(a, x, ctx)) |
116 | else | 122 | goto err; |
117 | { if (!BN_mul(a,x,y,ctx)) goto err; } | 123 | } else { |
118 | ca = a; | 124 | if (!BN_mul(a, x, y, ctx)) |
125 | goto err; | ||
119 | } | 126 | } |
120 | else | 127 | ca = a; |
121 | ca=x; /* Just do the mod */ | 128 | } else |
129 | ca = x; /* Just do the mod */ | ||
130 | |||
131 | ret = BN_div_recp(NULL, r, ca, recp, ctx); | ||
122 | 132 | ||
123 | ret = BN_div_recp(NULL,r,ca,recp,ctx); | ||
124 | err: | 133 | err: |
125 | BN_CTX_end(ctx); | 134 | BN_CTX_end(ctx); |
126 | bn_check_top(r); | 135 | bn_check_top(r); |
127 | return(ret); | 136 | return (ret); |
128 | } | 137 | } |
129 | 138 | ||
130 | int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, | 139 | int |
131 | BN_RECP_CTX *recp, BN_CTX *ctx) | 140 | BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, BN_RECP_CTX *recp, |
132 | { | 141 | BN_CTX *ctx) |
133 | int i,j,ret=0; | 142 | { |
134 | BIGNUM *a,*b,*d,*r; | 143 | int i, j, ret = 0; |
144 | BIGNUM *a, *b, *d, *r; | ||
135 | 145 | ||
136 | BN_CTX_start(ctx); | 146 | BN_CTX_start(ctx); |
137 | a=BN_CTX_get(ctx); | 147 | a = BN_CTX_get(ctx); |
138 | b=BN_CTX_get(ctx); | 148 | b = BN_CTX_get(ctx); |
139 | if (dv != NULL) | 149 | if (dv != NULL) |
140 | d=dv; | 150 | d = dv; |
141 | else | 151 | else |
142 | d=BN_CTX_get(ctx); | 152 | d = BN_CTX_get(ctx); |
143 | if (rem != NULL) | 153 | if (rem != NULL) |
144 | r=rem; | 154 | r = rem; |
145 | else | 155 | else |
146 | r=BN_CTX_get(ctx); | 156 | r = BN_CTX_get(ctx); |
147 | if (a == NULL || b == NULL || d == NULL || r == NULL) goto err; | 157 | if (a == NULL || b == NULL || d == NULL || r == NULL) |
158 | goto err; | ||
148 | 159 | ||
149 | if (BN_ucmp(m,&(recp->N)) < 0) | 160 | if (BN_ucmp(m, &(recp->N)) < 0) { |
150 | { | ||
151 | BN_zero(d); | 161 | BN_zero(d); |
152 | if (!BN_copy(r,m)) return 0; | 162 | if (!BN_copy(r, m)) |
163 | return 0; | ||
153 | BN_CTX_end(ctx); | 164 | BN_CTX_end(ctx); |
154 | return(1); | 165 | return (1); |
155 | } | 166 | } |
156 | 167 | ||
157 | /* We want the remainder | 168 | /* We want the remainder |
158 | * Given input of ABCDEF / ab | 169 | * Given input of ABCDEF / ab |
@@ -161,74 +172,86 @@ int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, | |||
161 | */ | 172 | */ |
162 | 173 | ||
163 | /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */ | 174 | /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */ |
164 | i=BN_num_bits(m); | 175 | i = BN_num_bits(m); |
165 | j=recp->num_bits<<1; | 176 | j = recp->num_bits << 1; |
166 | if (j>i) i=j; | 177 | if (j > i) |
178 | i = j; | ||
167 | 179 | ||
168 | /* Nr := round(2^i / N) */ | 180 | /* Nr := round(2^i / N) */ |
169 | if (i != recp->shift) | 181 | if (i != recp->shift) |
170 | recp->shift=BN_reciprocal(&(recp->Nr),&(recp->N), | 182 | recp->shift = BN_reciprocal(&(recp->Nr), &(recp->N), i, ctx); /* BN_reciprocal returns i, or -1 for an error */ |
171 | i,ctx); /* BN_reciprocal returns i, or -1 for an error */ | 183 | if (recp->shift == -1) |
172 | if (recp->shift == -1) goto err; | 184 | goto err; |
173 | 185 | ||
174 | /* d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))| | 186 | /* d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))| |
175 | * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))| | 187 | * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))| |
176 | * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)| | 188 | * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)| |
177 | * = |m/N| | 189 | * = |m/N| |
178 | */ | 190 | */ |
179 | if (!BN_rshift(a,m,recp->num_bits)) goto err; | 191 | if (!BN_rshift(a, m, recp->num_bits)) |
180 | if (!BN_mul(b,a,&(recp->Nr),ctx)) goto err; | 192 | goto err; |
181 | if (!BN_rshift(d,b,i-recp->num_bits)) goto err; | 193 | if (!BN_mul(b, a,&(recp->Nr), ctx)) |
182 | d->neg=0; | 194 | goto err; |
195 | if (!BN_rshift(d, b, i - recp->num_bits)) | ||
196 | goto err; | ||
197 | d->neg = 0; | ||
183 | 198 | ||
184 | if (!BN_mul(b,&(recp->N),d,ctx)) goto err; | 199 | if (!BN_mul(b, &(recp->N), d, ctx)) |
185 | if (!BN_usub(r,m,b)) goto err; | 200 | goto err; |
186 | r->neg=0; | 201 | if (!BN_usub(r, m, b)) |
202 | goto err; | ||
203 | r->neg = 0; | ||
187 | 204 | ||
188 | #if 1 | 205 | #if 1 |
189 | j=0; | 206 | j = 0; |
190 | while (BN_ucmp(r,&(recp->N)) >= 0) | 207 | while (BN_ucmp(r, &(recp->N)) >= 0) { |
191 | { | 208 | if (j++ > 2) { |
192 | if (j++ > 2) | 209 | BNerr(BN_F_BN_DIV_RECP, BN_R_BAD_RECIPROCAL); |
193 | { | ||
194 | BNerr(BN_F_BN_DIV_RECP,BN_R_BAD_RECIPROCAL); | ||
195 | goto err; | 210 | goto err; |
196 | } | ||
197 | if (!BN_usub(r,r,&(recp->N))) goto err; | ||
198 | if (!BN_add_word(d,1)) goto err; | ||
199 | } | 211 | } |
212 | if (!BN_usub(r, r, &(recp->N))) | ||
213 | goto err; | ||
214 | if (!BN_add_word(d, 1)) | ||
215 | goto err; | ||
216 | } | ||
200 | #endif | 217 | #endif |
201 | 218 | ||
202 | r->neg=BN_is_zero(r)?0:m->neg; | 219 | r->neg = BN_is_zero(r) ? 0 : m->neg; |
203 | d->neg=m->neg^recp->N.neg; | 220 | d->neg = m->neg^recp->N.neg; |
204 | ret=1; | 221 | ret = 1; |
222 | |||
205 | err: | 223 | err: |
206 | BN_CTX_end(ctx); | 224 | BN_CTX_end(ctx); |
207 | bn_check_top(dv); | 225 | bn_check_top(dv); |
208 | bn_check_top(rem); | 226 | bn_check_top(rem); |
209 | return(ret); | 227 | return (ret); |
210 | } | 228 | } |
211 | 229 | ||
212 | /* len is the expected size of the result | 230 | /* len is the expected size of the result |
213 | * We actually calculate with an extra word of precision, so | 231 | * We actually calculate with an extra word of precision, so |
214 | * we can do faster division if the remainder is not required. | 232 | * we can do faster division if the remainder is not required. |
215 | */ | 233 | */ |
216 | /* r := 2^len / m */ | 234 | /* r := 2^len / m */ |
217 | int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx) | 235 | int |
218 | { | 236 | BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx) |
219 | int ret= -1; | 237 | { |
238 | int ret = -1; | ||
220 | BIGNUM *t; | 239 | BIGNUM *t; |
221 | 240 | ||
222 | BN_CTX_start(ctx); | 241 | BN_CTX_start(ctx); |
223 | if((t = BN_CTX_get(ctx)) == NULL) goto err; | 242 | if ((t = BN_CTX_get(ctx)) == NULL) |
243 | goto err; | ||
224 | 244 | ||
225 | if (!BN_set_bit(t,len)) goto err; | 245 | if (!BN_set_bit(t, len)) |
246 | goto err; | ||
226 | 247 | ||
227 | if (!BN_div(r,NULL,t,m,ctx)) goto err; | 248 | if (!BN_div(r, NULL, t,m, ctx)) |
249 | goto err; | ||
250 | |||
251 | ret = len; | ||
228 | 252 | ||
229 | ret=len; | ||
230 | err: | 253 | err: |
231 | bn_check_top(r); | 254 | bn_check_top(r); |
232 | BN_CTX_end(ctx); | 255 | BN_CTX_end(ctx); |
233 | return(ret); | 256 | return (ret); |
234 | } | 257 | } |