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4f22f405 1/*
1212818e 2 * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
d02b48c6 3 *
367ace68 4 * Licensed under the Apache License 2.0 (the "License"). You may not use
4f22f405
RS
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
d02b48c6
RE
8 */
9
b39fc560 10#include "internal/cryptlib.h"
706457b7 11#include "bn_local.h"
d02b48c6
RE
12
13/* r must not be a */
0f113f3e
MC
14/*
15 * I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96
16 */
020fc820 17int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
fcc4ee09
AP
18{
19 int ret = bn_sqr_fixed_top(r, a, ctx);
20
21 bn_correct_top(r);
22 bn_check_top(r);
23
24 return ret;
25}
26
27int bn_sqr_fixed_top(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
0f113f3e
MC
28{
29 int max, al;
30 int ret = 0;
31 BIGNUM *tmp, *rr;
d02b48c6 32
0f113f3e 33 bn_check_top(a);
d02b48c6 34
0f113f3e
MC
35 al = a->top;
36 if (al <= 0) {
37 r->top = 0;
38 r->neg = 0;
39 return 1;
40 }
d02b48c6 41
0f113f3e
MC
42 BN_CTX_start(ctx);
43 rr = (a != r) ? r : BN_CTX_get(ctx);
44 tmp = BN_CTX_get(ctx);
edea42c6 45 if (rr == NULL || tmp == NULL)
0f113f3e 46 goto err;
9b141126 47
0f113f3e
MC
48 max = 2 * al; /* Non-zero (from above) */
49 if (bn_wexpand(rr, max) == NULL)
50 goto err;
d02b48c6 51
0f113f3e 52 if (al == 4) {
dfeab068 53#ifndef BN_SQR_COMBA
0f113f3e
MC
54 BN_ULONG t[8];
55 bn_sqr_normal(rr->d, a->d, 4, t);
dfeab068 56#else
0f113f3e 57 bn_sqr_comba4(rr->d, a->d);
dfeab068 58#endif
0f113f3e 59 } else if (al == 8) {
dfeab068 60#ifndef BN_SQR_COMBA
0f113f3e
MC
61 BN_ULONG t[16];
62 bn_sqr_normal(rr->d, a->d, 8, t);
dfeab068 63#else
0f113f3e 64 bn_sqr_comba8(rr->d, a->d);
dfeab068 65#endif
0f113f3e 66 } else {
dfeab068 67#if defined(BN_RECURSION)
0f113f3e
MC
68 if (al < BN_SQR_RECURSIVE_SIZE_NORMAL) {
69 BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL * 2];
70 bn_sqr_normal(rr->d, a->d, al, t);
71 } else {
72 int j, k;
a0a54079 73
0f113f3e
MC
74 j = BN_num_bits_word((BN_ULONG)al);
75 j = 1 << (j - 1);
76 k = j + j;
77 if (al == j) {
78 if (bn_wexpand(tmp, k * 2) == NULL)
79 goto err;
80 bn_sqr_recursive(rr->d, a->d, al, tmp->d);
81 } else {
82 if (bn_wexpand(tmp, max) == NULL)
83 goto err;
84 bn_sqr_normal(rr->d, a->d, al, tmp->d);
85 }
86 }
dfeab068 87#else
0f113f3e
MC
88 if (bn_wexpand(tmp, max) == NULL)
89 goto err;
90 bn_sqr_normal(rr->d, a->d, al, tmp->d);
dfeab068 91#endif
0f113f3e 92 }
dfeab068 93
0f113f3e 94 rr->neg = 0;
305b68f1 95 rr->top = max;
fcc4ee09 96 rr->flags |= BN_FLG_FIXED_TOP;
78e09b53
RS
97 if (r != rr && BN_copy(r, rr) == NULL)
98 goto err;
99
0f113f3e 100 ret = 1;
9b141126 101 err:
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MC
102 bn_check_top(rr);
103 bn_check_top(tmp);
104 BN_CTX_end(ctx);
26a7d938 105 return ret;
0f113f3e 106}
dfeab068
RE
107
108/* tmp must have 2*n words */
43fcc1b0 109void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
0f113f3e
MC
110{
111 int i, j, max;
112 const BN_ULONG *ap;
113 BN_ULONG *rp;
d02b48c6 114
0f113f3e
MC
115 max = n * 2;
116 ap = a;
117 rp = r;
118 rp[0] = rp[max - 1] = 0;
119 rp++;
120 j = n;
d02b48c6 121
0f113f3e
MC
122 if (--j > 0) {
123 ap++;
124 rp[j] = bn_mul_words(rp, ap, j, ap[-1]);
125 rp += 2;
126 }
d02b48c6 127
0f113f3e
MC
128 for (i = n - 2; i > 0; i--) {
129 j--;
130 ap++;
131 rp[j] = bn_mul_add_words(rp, ap, j, ap[-1]);
132 rp += 2;
133 }
d02b48c6 134
0f113f3e 135 bn_add_words(r, r, r, max);
d02b48c6 136
0f113f3e 137 /* There will not be a carry */
d02b48c6 138
0f113f3e 139 bn_sqr_words(tmp, a, n);
d02b48c6 140
0f113f3e
MC
141 bn_add_words(r, r, tmp, max);
142}
d02b48c6 143
dfeab068 144#ifdef BN_RECURSION
1d97c843
TH
145/*-
146 * r is 2*n words in size,
fe035197 147 * a and b are both n words in size. (There's not actually a 'b' here ...)
dfeab068
RE
148 * n must be a power of 2.
149 * We multiply and return the result.
150 * t must be 2*n words in size
657e60fa 151 * We calculate
dfeab068
RE
152 * a[0]*b[0]
153 * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
154 * a[1]*b[1]
155 */
43fcc1b0 156void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t)
0f113f3e
MC
157{
158 int n = n2 / 2;
159 int zero, c1;
160 BN_ULONG ln, lo, *p;
dfeab068 161
0f113f3e
MC
162 if (n2 == 4) {
163# ifndef BN_SQR_COMBA
164 bn_sqr_normal(r, a, 4, t);
165# else
166 bn_sqr_comba4(r, a);
167# endif
168 return;
169 } else if (n2 == 8) {
170# ifndef BN_SQR_COMBA
171 bn_sqr_normal(r, a, 8, t);
172# else
173 bn_sqr_comba8(r, a);
174# endif
175 return;
176 }
177 if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL) {
178 bn_sqr_normal(r, a, n2, t);
179 return;
180 }
181 /* r=(a[0]-a[1])*(a[1]-a[0]) */
182 c1 = bn_cmp_words(a, &(a[n]), n);
183 zero = 0;
184 if (c1 > 0)
185 bn_sub_words(t, a, &(a[n]), n);
186 else if (c1 < 0)
187 bn_sub_words(t, &(a[n]), a, n);
188 else
189 zero = 1;
dfeab068 190
0f113f3e
MC
191 /* The result will always be negative unless it is zero */
192 p = &(t[n2 * 2]);
dfeab068 193
0f113f3e
MC
194 if (!zero)
195 bn_sqr_recursive(&(t[n2]), t, n, p);
196 else
16f8d4eb 197 memset(&t[n2], 0, sizeof(*t) * n2);
0f113f3e
MC
198 bn_sqr_recursive(r, a, n, p);
199 bn_sqr_recursive(&(r[n2]), &(a[n]), n, p);
dfeab068 200
50e735f9
MC
201 /*-
202 * t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
203 * r[10] holds (a[0]*b[0])
204 * r[32] holds (b[1]*b[1])
205 */
dfeab068 206
0f113f3e 207 c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));
dfeab068 208
0f113f3e
MC
209 /* t[32] is negative */
210 c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));
dfeab068 211
50e735f9
MC
212 /*-
213 * t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
214 * r[10] holds (a[0]*a[0])
215 * r[32] holds (a[1]*a[1])
216 * c1 holds the carry bits
217 */
0f113f3e
MC
218 c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));
219 if (c1) {
220 p = &(r[n + n2]);
221 lo = *p;
222 ln = (lo + c1) & BN_MASK2;
223 *p = ln;
dfeab068 224
0f113f3e
MC
225 /*
226 * The overflow will stop before we over write words we should not
227 * overwrite
228 */
229 if (ln < (BN_ULONG)c1) {
230 do {
231 p++;
232 lo = *p;
233 ln = (lo + 1) & BN_MASK2;
234 *p = ln;
235 } while (ln == 0);
236 }
237 }
238}
dfeab068 239#endif