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Diffstat (limited to 'src/lib/libcrypto/bn/bn_sqr.c')
-rw-r--r--src/lib/libcrypto/bn/bn_sqr.c214
1 files changed, 190 insertions, 24 deletions
diff --git a/src/lib/libcrypto/bn/bn_sqr.c b/src/lib/libcrypto/bn/bn_sqr.c
index a8464610e5..c1d0cca438 100644
--- a/src/lib/libcrypto/bn/bn_sqr.c
+++ b/src/lib/libcrypto/bn/bn_sqr.c
@@ -62,35 +62,105 @@
62 62
63/* r must not be a */ 63/* r must not be a */
64/* I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96 */ 64/* I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96 */
65int BN_sqr(r, a, ctx) 65int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
66BIGNUM *r;
67BIGNUM *a;
68BN_CTX *ctx;
69 { 66 {
70 int i,j,max,al; 67 int max,al;
71 BIGNUM *tmp; 68 int ret = 0;
72 BN_ULONG *ap,*rp; 69 BIGNUM *tmp,*rr;
73 70
74 tmp=ctx->bn[ctx->tos]; 71#ifdef BN_COUNT
72 fprintf(stderr,"BN_sqr %d * %d\n",a->top,a->top);
73#endif
74 bn_check_top(a);
75 75
76 al=a->top; 76 al=a->top;
77 if (al == 0) 77 if (al <= 0)
78 { 78 {
79 r->top=0; 79 r->top=0;
80 return(1); 80 return(1);
81 } 81 }
82 82
83 max=(al*2); 83 BN_CTX_start(ctx);
84 if (bn_wexpand(r,1+max) == NULL) return(0); 84 rr=(a != r) ? r : BN_CTX_get(ctx);
85 if (bn_wexpand(tmp,1+max) == NULL) return(0); 85 tmp=BN_CTX_get(ctx);
86 if (tmp == NULL) goto err;
86 87
87 r->neg=0; 88 max=(al+al);
89 if (bn_wexpand(rr,max+1) == NULL) goto err;
88 90
89 ap=a->d; 91 if (al == 4)
90 rp=r->d; 92 {
93#ifndef BN_SQR_COMBA
94 BN_ULONG t[8];
95 bn_sqr_normal(rr->d,a->d,4,t);
96#else
97 bn_sqr_comba4(rr->d,a->d);
98#endif
99 }
100 else if (al == 8)
101 {
102#ifndef BN_SQR_COMBA
103 BN_ULONG t[16];
104 bn_sqr_normal(rr->d,a->d,8,t);
105#else
106 bn_sqr_comba8(rr->d,a->d);
107#endif
108 }
109 else
110 {
111#if defined(BN_RECURSION)
112 if (al < BN_SQR_RECURSIVE_SIZE_NORMAL)
113 {
114 BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL*2];
115 bn_sqr_normal(rr->d,a->d,al,t);
116 }
117 else
118 {
119 int j,k;
120
121 j=BN_num_bits_word((BN_ULONG)al);
122 j=1<<(j-1);
123 k=j+j;
124 if (al == j)
125 {
126 if (bn_wexpand(tmp,k*2) == NULL) goto err;
127 bn_sqr_recursive(rr->d,a->d,al,tmp->d);
128 }
129 else
130 {
131 if (bn_wexpand(tmp,max) == NULL) goto err;
132 bn_sqr_normal(rr->d,a->d,al,tmp->d);
133 }
134 }
135#else
136 if (bn_wexpand(tmp,max) == NULL) goto err;
137 bn_sqr_normal(rr->d,a->d,al,tmp->d);
138#endif
139 }
140
141 rr->top=max;
142 rr->neg=0;
143 if ((max > 0) && (rr->d[max-1] == 0)) rr->top--;
144 if (rr != r) BN_copy(r,rr);
145 ret = 1;
146 err:
147 BN_CTX_end(ctx);
148 return(ret);
149 }
150
151/* tmp must have 2*n words */
152void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
153 {
154 int i,j,max;
155 const BN_ULONG *ap;
156 BN_ULONG *rp;
157
158 max=n*2;
159 ap=a;
160 rp=r;
91 rp[0]=rp[max-1]=0; 161 rp[0]=rp[max-1]=0;
92 rp++; 162 rp++;
93 j=al; 163 j=n;
94 164
95 if (--j > 0) 165 if (--j > 0)
96 { 166 {
@@ -99,7 +169,7 @@ BN_CTX *ctx;
99 rp+=2; 169 rp+=2;
100 } 170 }
101 171
102 for (i=2; i<al; i++) 172 for (i=n-2; i>0; i--)
103 { 173 {
104 j--; 174 j--;
105 ap++; 175 ap++;
@@ -107,16 +177,112 @@ BN_CTX *ctx;
107 rp+=2; 177 rp+=2;
108 } 178 }
109 179
110 bn_add_words(r->d,r->d,r->d,max); 180 bn_add_words(r,r,r,max);
111 181
112 /* There will not be a carry */ 182 /* There will not be a carry */
113 183
114 bn_sqr_words(tmp->d,a->d,al); 184 bn_sqr_words(tmp,a,n);
115 185
116 bn_add_words(r->d,r->d,tmp->d,max); 186 bn_add_words(r,r,tmp,max);
117
118 r->top=max;
119 if (r->d[max-1] == 0) r->top--;
120 return(1);
121 } 187 }
122 188
189#ifdef BN_RECURSION
190/* r is 2*n words in size,
191 * a and b are both n words in size. (There's not actually a 'b' here ...)
192 * n must be a power of 2.
193 * We multiply and return the result.
194 * t must be 2*n words in size
195 * We calculate
196 * a[0]*b[0]
197 * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
198 * a[1]*b[1]
199 */
200void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t)
201 {
202 int n=n2/2;
203 int zero,c1;
204 BN_ULONG ln,lo,*p;
205
206#ifdef BN_COUNT
207 fprintf(stderr," bn_sqr_recursive %d * %d\n",n2,n2);
208#endif
209 if (n2 == 4)
210 {
211#ifndef BN_SQR_COMBA
212 bn_sqr_normal(r,a,4,t);
213#else
214 bn_sqr_comba4(r,a);
215#endif
216 return;
217 }
218 else if (n2 == 8)
219 {
220#ifndef BN_SQR_COMBA
221 bn_sqr_normal(r,a,8,t);
222#else
223 bn_sqr_comba8(r,a);
224#endif
225 return;
226 }
227 if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL)
228 {
229 bn_sqr_normal(r,a,n2,t);
230 return;
231 }
232 /* r=(a[0]-a[1])*(a[1]-a[0]) */
233 c1=bn_cmp_words(a,&(a[n]),n);
234 zero=0;
235 if (c1 > 0)
236 bn_sub_words(t,a,&(a[n]),n);
237 else if (c1 < 0)
238 bn_sub_words(t,&(a[n]),a,n);
239 else
240 zero=1;
241
242 /* The result will always be negative unless it is zero */
243 p= &(t[n2*2]);
244
245 if (!zero)
246 bn_sqr_recursive(&(t[n2]),t,n,p);
247 else
248 memset(&(t[n2]),0,n2*sizeof(BN_ULONG));
249 bn_sqr_recursive(r,a,n,p);
250 bn_sqr_recursive(&(r[n2]),&(a[n]),n,p);
251
252 /* t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
253 * r[10] holds (a[0]*b[0])
254 * r[32] holds (b[1]*b[1])
255 */
256
257 c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
258
259 /* t[32] is negative */
260 c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
261
262 /* t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
263 * r[10] holds (a[0]*a[0])
264 * r[32] holds (a[1]*a[1])
265 * c1 holds the carry bits
266 */
267 c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
268 if (c1)
269 {
270 p= &(r[n+n2]);
271 lo= *p;
272 ln=(lo+c1)&BN_MASK2;
273 *p=ln;
274
275 /* The overflow will stop before we over write
276 * words we should not overwrite */
277 if (ln < (BN_ULONG)c1)
278 {
279 do {
280 p++;
281 lo= *p;
282 ln=(lo+1)&BN_MASK2;
283 *p=ln;
284 } while (ln == 0);
285 }
286 }
287 }
288#endif