TwlIPL/build/tools/acsign/bn_sqr.c

/* $Id$ */
/*
 * Copyright (C) 1998-2002 RSA Security Inc. All rights reserved.
 *
 * This work contains proprietary information of RSA Security.
 * Distribution is limited to authorized licensees of RSA
 * Security. Any unauthorized reproduction, distribution or
 * modification of this work is strictly prohibited.
 *
 */

#include "bn_lcl.h"

#ifdef SMALL_CODE_SIZE
#undef BN_RECURSION_SQR
#endif

#if !(defined(NO_SPLIT) && defined(SPLIT_FILE))
 
#ifdef NO_SPLIT
#define SPLIT_BN_SQR
#define SPLIT_BN_SQR_NORMAL
#define SPLIT_BN_RECURSION_SQR
#endif /* NO_SPLIT */

#ifdef SPLIT_BN_SQR
/* r must not be a */
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) == NULL) return(0);

    rr->top=max;
    rr->neg=0;

    if (al == 4)
        {
#ifndef BN_SQR_COMBA
        BN_ULONG t[8];
        bn_sqr_normal(rr->d,a->d,4,t);
#else
        bn_sqr_comba4(rr->d,a->d);
#endif
        }
    else if (al == 8)
        {
#ifndef BN_SQR_COMBA
        BN_ULONG t[16];
        bn_sqr_normal(rr->d,a->d,8,t);
#else
        bn_sqr_comba8(rr->d,a->d);
#endif
        }
    else 
        {
#if 1 && defined(BN_RECURSION_SQR)
        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,l,k;

            l=BN_num_bits_word((BN_ULONG)al);
            j=1<<(l-1);
            k=j+j;
            if ((al == j) && !BN_get_flags(a,BN_FLG_STATIC_DATA))
                {
                BN_REC rec;
                if (bn_wexpand(tmp,k*2) == NULL) return(0);
                rec.depth=l-5;
                rec.n=j;
                rec.mul=bn_mul_comba8;
                rec.sqr=bn_sqr_comba8;

                bn_sqr_rec_words(rr->d,a->d,tmp->d,&rec);
                }
            else
                {
                if (bn_wexpand(tmp,max) == NULL) return(0);
                bn_assert(al*2 <= max);
                bn_sqr_normal(rr->d,a->d,al,tmp->d);
                }
            }
#else
        if (bn_wexpand(tmp,max) == NULL) return(0);
        bn_assert(al*2 <= max);
        bn_sqr_normal(rr->d,a->d,al,tmp->d);
#endif
#ifdef BN_DEBUG
        tmp->top=0;
#endif
        }

    if ((max > 0) && (rr->d[max-1] == 0)) rr->top--;
    if (rr != r) (void)BN_copy(r,rr);
    return(1);
    }
#endif

#ifdef SPLIT_BN_SQR_NORMAL
/* 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,m;

    max=n*2;
    ap=a;
    rp=r;
    rp[0]=rp[max-1]=0;
    rp++;
    j=n;

    if (--j > 0)
        {
        m= (*ap++);
        rp[j]=bn_mul_words(rp,ap,j,m);
        rp+=2;
        }

    for (i=n-2; i>0; i--)
        {
        j--;
        m= *(ap++);
        rp[j]=bn_mul_add_words(rp,ap,j,m);
        rp+=2;
        }

    (void)bn_add_words(r,r,r,max);

    /* There will not be a carry */

    bn_sqr_words(tmp,a,n);

    (void)bn_add_words(r,r,tmp,max);
    }
#endif

#if 0 /* replaced by bn_sqr_rec_words() AND this has bugs */
#ifdef SPLIT_BN_RECURSION_SQR
#ifdef BN_RECURSION_SQR
/* r is 2*n words in size,
 * a and b are both n words in size.
 * n must be a power of 2.
 * We multiply and return the result.
 * t must be 2*n words in size
 * We calulate
 * 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);
            }
        }
    }
#endif
#endif
#endif
#endif