-/* crypto/bn/bn_sqr.c */
-/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
- * All rights reserved.
+/*
+ * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved.
*
- * This package is an SSL implementation written
- * by Eric Young (eay@cryptsoft.com).
- * The implementation was written so as to conform with Netscapes SSL.
- *
- * This library is free for commercial and non-commercial use as long as
- * the following conditions are aheared to. The following conditions
- * apply to all code found in this distribution, be it the RC4, RSA,
- * lhash, DES, etc., code; not just the SSL code. The SSL documentation
- * included with this distribution is covered by the same copyright terms
- * except that the holder is Tim Hudson (tjh@cryptsoft.com).
- *
- * Copyright remains Eric Young's, and as such any Copyright notices in
- * the code are not to be removed.
- * If this package is used in a product, Eric Young should be given attribution
- * as the author of the parts of the library used.
- * This can be in the form of a textual message at program startup or
- * in documentation (online or textual) provided with the package.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- * must display the following acknowledgement:
- * "This product includes cryptographic software written by
- * Eric Young (eay@cryptsoft.com)"
- * The word 'cryptographic' can be left out if the rouines from the library
- * being used are not cryptographic related :-).
- * 4. If you include any Windows specific code (or a derivative thereof) from
- * the apps directory (application code) you must include an acknowledgement:
- * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
- *
- * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- *
- * The licence and distribution terms for any publically available version or
- * derivative of this code cannot be changed. i.e. this code cannot simply be
- * copied and put under another distribution licence
- * [including the GNU Public Licence.]
+ * Licensed under the Apache License 2.0 (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
*/
-#include <stdio.h>
-#include "cryptlib.h"
-#include "bn_lcl.h"
+#include "internal/cryptlib.h"
+#include "bn_local.h"
/* r must not be a */
-/* I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96 */
-int BN_sqr(r, a, ctx)
-BIGNUM *r;
-BIGNUM *a;
-BN_CTX *ctx;
- {
- int max,al;
- BIGNUM *tmp,*rr;
-
-#ifdef BN_COUNT
-printf("BN_sqr %d * %d\n",a->top,a->top);
-#endif
- bn_check_top(a);
- tmp= &(ctx->bn[ctx->tos]);
- rr=(a != r)?r: (&ctx->bn[ctx->tos+1]);
-
- al=a->top;
- if (al <= 0)
- {
- r->top=0;
- return(1);
- }
-
- max=(al+al);
- if (bn_wexpand(rr,max+1) == NULL) return(0);
-
- r->neg=0;
- if (al == 4)
- {
+/*
+ * I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96
+ */
+int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+{
+ int ret = bn_sqr_fixed_top(r, a, ctx);
+
+ bn_correct_top(r);
+ bn_check_top(r);
+
+ return ret;
+}
+
+int bn_sqr_fixed_top(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+{
+ int max, al;
+ int ret = 0;
+ BIGNUM *tmp, *rr;
+
+ bn_check_top(a);
+
+ al = a->top;
+ if (al <= 0) {
+ r->top = 0;
+ r->neg = 0;
+ return 1;
+ }
+
+ BN_CTX_start(ctx);
+ rr = (a != r) ? r : BN_CTX_get(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (rr == NULL || tmp == NULL)
+ goto err;
+
+ max = 2 * al; /* Non-zero (from above) */
+ if (bn_wexpand(rr, max) == NULL)
+ goto err;
+
+ if (al == 4) {
#ifndef BN_SQR_COMBA
- BN_ULONG t[8];
- bn_sqr_normal(rr->d,a->d,4,t);
+ BN_ULONG t[8];
+ bn_sqr_normal(rr->d, a->d, 4, t);
#else
- bn_sqr_comba4(rr->d,a->d);
+ bn_sqr_comba4(rr->d, a->d);
#endif
- }
- else if (al == 8)
- {
+ } else if (al == 8) {
#ifndef BN_SQR_COMBA
- BN_ULONG t[16];
- bn_sqr_normal(rr->d,a->d,8,t);
+ BN_ULONG t[16];
+ bn_sqr_normal(rr->d, a->d, 8, t);
#else
- bn_sqr_comba8(rr->d,a->d);
+ bn_sqr_comba8(rr->d, a->d);
#endif
- }
- else
- {
+ } else {
#if defined(BN_RECURSION)
- if (al < BN_SQR_RECURSIVE_SIZE_NORMAL)
- {
- BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL*2];
- bn_sqr_normal(rr->d,a->d,al,t);
- }
- else
- {
- int j,k;
-
- j=BN_num_bits_word((BN_ULONG)al);
- j=1<<(j-1);
- k=j+j;
- if (al == j)
- {
- if (bn_wexpand(a,k*2) == NULL) return(0);
- if (bn_wexpand(tmp,k*2) == NULL) return(0);
- bn_sqr_recursive(rr->d,a->d,al,tmp->d);
- }
- else
- {
- if (bn_wexpand(tmp,max) == NULL) return(0);
- bn_sqr_normal(rr->d,a->d,al,tmp->d);
- }
- }
+ if (al < BN_SQR_RECURSIVE_SIZE_NORMAL) {
+ BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL * 2];
+ bn_sqr_normal(rr->d, a->d, al, t);
+ } else {
+ int j, k;
+
+ j = BN_num_bits_word((BN_ULONG)al);
+ j = 1 << (j - 1);
+ k = j + j;
+ if (al == j) {
+ if (bn_wexpand(tmp, k * 2) == NULL)
+ goto err;
+ bn_sqr_recursive(rr->d, a->d, al, tmp->d);
+ } else {
+ if (bn_wexpand(tmp, max) == NULL)
+ goto err;
+ bn_sqr_normal(rr->d, a->d, al, tmp->d);
+ }
+ }
#else
- if (bn_wexpand(tmp,max) == NULL) return(0);
- bn_sqr_normal(rr->d,a->d,al,tmp->d);
+ if (bn_wexpand(tmp, max) == NULL)
+ goto err;
+ bn_sqr_normal(rr->d, a->d, al, tmp->d);
#endif
- }
-
- rr->top=max;
- if ((max > 0) && (rr->d[max-1] == 0)) rr->top--;
- if (rr != r) BN_copy(r,rr);
- return(1);
- }
+ }
+
+ rr->neg = 0;
+ rr->top = max;
+ rr->flags |= BN_FLG_FIXED_TOP;
+ if (r != rr && BN_copy(r, rr) == NULL)
+ goto err;
+
+ ret = 1;
+ err:
+ bn_check_top(rr);
+ bn_check_top(tmp);
+ BN_CTX_end(ctx);
+ return ret;
+}
/* tmp must have 2*n words */
-void bn_sqr_normal(r, a, n, tmp)
-BN_ULONG *r;
-BN_ULONG *a;
-int n;
-BN_ULONG *tmp;
- {
- int i,j,max;
- BN_ULONG *ap,*rp;
+void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
+{
+ int i, j, max;
+ const BN_ULONG *ap;
+ BN_ULONG *rp;
- max=n*2;
- ap=a;
- rp=r;
- rp[0]=rp[max-1]=0;
- rp++;
- j=n;
+ max = n * 2;
+ ap = a;
+ rp = r;
+ rp[0] = rp[max - 1] = 0;
+ rp++;
+ j = n;
- if (--j > 0)
- {
- ap++;
- rp[j]=bn_mul_words(rp,ap,j,ap[-1]);
- rp+=2;
- }
+ if (--j > 0) {
+ ap++;
+ rp[j] = bn_mul_words(rp, ap, j, ap[-1]);
+ rp += 2;
+ }
- for (i=n-2; i>0; i--)
- {
- j--;
- ap++;
- rp[j]=bn_mul_add_words(rp,ap,j,ap[-1]);
- rp+=2;
- }
+ for (i = n - 2; i > 0; i--) {
+ j--;
+ ap++;
+ rp[j] = bn_mul_add_words(rp, ap, j, ap[-1]);
+ rp += 2;
+ }
- bn_add_words(r,r,r,max);
+ bn_add_words(r, r, r, max);
- /* There will not be a carry */
+ /* There will not be a carry */
- bn_sqr_words(tmp,a,n);
+ bn_sqr_words(tmp, a, n);
- bn_add_words(r,r,tmp,max);
- }
+ bn_add_words(r, r, tmp, max);
+}
#ifdef BN_RECURSION
-/* r is 2*n words in size,
- * a and b are both n words in size.
+/*-
+ * r is 2*n words in size,
+ * a and b are both n words in size. (There's not actually a 'b' here ...)
* n must be a power of 2.
* We multiply and return the result.
* t must be 2*n words in size
- * We calulate
+ * We calculate
* a[0]*b[0]
* a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
* a[1]*b[1]
*/
-void bn_sqr_recursive(r,a,n2,t)
-BN_ULONG *r,*a;
-int n2;
-BN_ULONG *t;
- {
- int n=n2/2;
- int zero,c1;
- BN_ULONG ln,lo,*p;
-
-#ifdef BN_COUNT
-printf(" bn_sqr_recursive %d * %d\n",n2,n2);
-#endif
- if (n2 == 4)
- {
-#ifndef BN_SQR_COMBA
- bn_sqr_normal(r,a,4,t);
-#else
- bn_sqr_comba4(r,a);
-#endif
- return;
- }
- else if (n2 == 8)
- {
-#ifndef BN_SQR_COMBA
- bn_sqr_normal(r,a,8,t);
-#else
- bn_sqr_comba8(r,a);
-#endif
- return;
- }
- if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL)
- {
- bn_sqr_normal(r,a,n2,t);
- return;
- }
- /* r=(a[0]-a[1])*(a[1]-a[0]) */
- c1=bn_cmp_words(a,&(a[n]),n);
- zero=0;
- if (c1 > 0)
- bn_sub_words(t,a,&(a[n]),n);
- else if (c1 < 0)
- bn_sub_words(t,&(a[n]),a,n);
- else
- zero=1;
-
- /* The result will always be negative unless it is zero */
- p= &(t[n2*2]);
-
- if (!zero)
- bn_sqr_recursive(&(t[n2]),t,n,p);
- else
- memset(&(t[n2]),0,n*sizeof(BN_ULONG));
- bn_sqr_recursive(r,a,n,p);
- bn_sqr_recursive(&(r[n2]),&(a[n]),n,p);
-
- /* t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
- * r[10] holds (a[0]*b[0])
- * r[32] holds (b[1]*b[1])
- */
-
- c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
-
- /* t[32] is negative */
- c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
-
- /* t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
- * r[10] holds (a[0]*a[0])
- * r[32] holds (a[1]*a[1])
- * c1 holds the carry bits
- */
- c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
- if (c1)
- {
- p= &(r[n+n2]);
- lo= *p;
- ln=(lo+c1)&BN_MASK2;
- *p=ln;
-
- /* The overflow will stop before we over write
- * words we should not overwrite */
- if (ln < (BN_ULONG)c1)
- {
- do {
- p++;
- lo= *p;
- ln=(lo+1)&BN_MASK2;
- *p=ln;
- } while (ln == 0);
- }
- }
- }
+void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t)
+{
+ int n = n2 / 2;
+ int zero, c1;
+ BN_ULONG ln, lo, *p;
+
+ if (n2 == 4) {
+# ifndef BN_SQR_COMBA
+ bn_sqr_normal(r, a, 4, t);
+# else
+ bn_sqr_comba4(r, a);
+# endif
+ return;
+ } else if (n2 == 8) {
+# ifndef BN_SQR_COMBA
+ bn_sqr_normal(r, a, 8, t);
+# else
+ bn_sqr_comba8(r, a);
+# endif
+ return;
+ }
+ if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL) {
+ bn_sqr_normal(r, a, n2, t);
+ return;
+ }
+ /* r=(a[0]-a[1])*(a[1]-a[0]) */
+ c1 = bn_cmp_words(a, &(a[n]), n);
+ zero = 0;
+ if (c1 > 0)
+ bn_sub_words(t, a, &(a[n]), n);
+ else if (c1 < 0)
+ bn_sub_words(t, &(a[n]), a, n);
+ else
+ zero = 1;
+
+ /* The result will always be negative unless it is zero */
+ p = &(t[n2 * 2]);
+
+ if (!zero)
+ bn_sqr_recursive(&(t[n2]), t, n, p);
+ else
+ memset(&t[n2], 0, sizeof(*t) * n2);
+ bn_sqr_recursive(r, a, n, p);
+ bn_sqr_recursive(&(r[n2]), &(a[n]), n, p);
+
+ /*-
+ * t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
+
+ c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));
+
+ /* t[32] is negative */
+ c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));
+
+ /*-
+ * t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
+ * r[10] holds (a[0]*a[0])
+ * r[32] holds (a[1]*a[1])
+ * c1 holds the carry bits
+ */
+ c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));
+ if (c1) {
+ p = &(r[n + n2]);
+ lo = *p;
+ ln = (lo + c1) & BN_MASK2;
+ *p = ln;
+
+ /*
+ * The overflow will stop before we over write words we should not
+ * overwrite
+ */
+ if (ln < (BN_ULONG)c1) {
+ do {
+ p++;
+ lo = *p;
+ ln = (lo + 1) & BN_MASK2;
+ *p = ln;
+ } while (ln == 0);
+ }
+ }
+}
#endif