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authorRalf S. Engelschall <rse@openssl.org>1998-12-21 10:52:47 +0000
committerRalf S. Engelschall <rse@openssl.org>1998-12-21 10:52:47 +0000
commitd02b48c63a58ea4367a0e905979f140b7d090f86 (patch)
tree504f62ed3d84799f785b9cd9fab255a21b0e1b0e /crypto/bn/stuff/bn_knuth.c
downloadopenssl-d02b48c63a58ea4367a0e905979f140b7d090f86.tar.gz
Import of old SSLeay release: SSLeay 0.8.1b
Diffstat (limited to 'crypto/bn/stuff/bn_knuth.c')
-rw-r--r--crypto/bn/stuff/bn_knuth.c378
1 files changed, 378 insertions, 0 deletions
diff --git a/crypto/bn/stuff/bn_knuth.c b/crypto/bn/stuff/bn_knuth.c
new file mode 100644
index 0000000000..9a3f4130ed
--- /dev/null
+++ b/crypto/bn/stuff/bn_knuth.c
@@ -0,0 +1,378 @@
+/* crypto/bn/bn_knuth.c */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn.h"
+
+/* This is just a test implementation, it has not been modified for
+ * speed and it still has memory leaks. */
+
+int BN_mask_bits(BIGNUM *a,int n);
+
+#undef DEBUG
+#define MAIN
+
+/* r must be different to a and b
+ * Toom-Cook multiplication algorithm, taken from
+ * The Art Of Computer Programming, Volume 2, Donald Knuth
+ */
+
+#define CODE1 ((BIGNUM *)0x01)
+#define CODE2 ((BIGNUM *)0x02)
+#define CODE3 ((BIGNUM *)0x03)
+#define MAXK (30+1)
+
+#define C3 3
+#define C4 4
+#define C5 5
+#define C6 6
+#define C7 7
+#define C8 8
+#define C9 9
+#define C10 10
+#define DONE 11
+
+int new_total=0;
+int Free_total=0;
+int max=0,max_total=0;
+
+BIGNUM *LBN_new(void );
+BIGNUM *LBN_dup(BIGNUM *a);
+void LBN_free(BIGNUM *a);
+
+int BN_mul_knuth(w, a, b)
+BIGNUM *w;
+BIGNUM *a;
+BIGNUM *b;
+ {
+ int ret=1;
+ int i,j,n,an,bn,y,z;
+ BIGNUM *U[MAXK],*V[MAXK],*T[MAXK];
+ BIGNUM *C[(MAXK*2*3)];
+ BIGNUM *W[(MAXK*2)],*t1,*t2,*t3,*t4;
+ int Utos,Vtos,Ctos,Wtos,Ttos;
+ unsigned int k,Q,R;
+ unsigned int q[MAXK];
+ unsigned int r[MAXK];
+ int state;
+
+ /* C1 */
+ Utos=Vtos=Ctos=Wtos=Ttos=0;
+ k=1;
+ q[0]=q[1]=64;
+ r[0]=r[1]=4;
+ Q=6;
+ R=2;
+
+ if (!bn_expand(w,BN_BITS2*2)) goto err;
+ an=BN_num_bits(a);
+ bn=BN_num_bits(b);
+ n=(an > bn)?an:bn;
+ while ((q[k-1]+q[k]) < n)
+ {
+ k++;
+ Q+=R;
+ i=R+1;
+ if ((i*i) <= Q) R=i;
+ q[k]=(1<<Q);
+ r[k]=(1<<R);
+ }
+#ifdef DEBUG
+ printf("k =");
+ for (i=0; i<=k; i++) printf("%7d",i);
+ printf("\nq[k]=");
+ for (i=0; i<=k; i++) printf("%7d",q[i]);
+ printf("\nr[k]=");
+ for (i=0; i<=k; i++) printf("%7d",r[i]);
+ printf("\n");
+#endif
+
+ /* C2 */
+ C[Ctos++]=CODE1;
+ if ((t1=LBN_dup(a)) == NULL) goto err;
+ C[Ctos++]=t1;
+ if ((t1=LBN_dup(b)) == NULL) goto err;
+ C[Ctos++]=t1;
+
+ state=C3;
+ for (;;)
+ {
+#ifdef DEBUG
+ printf("state=C%d, Ctos=%d Wtos=%d\n",state,Ctos,Wtos);
+#endif
+ switch (state)
+ {
+ int lr,lq,lp;
+ case C3:
+ k--;
+ if (k == 0)
+ {
+ t1=C[--Ctos];
+ t2=C[--Ctos];
+#ifdef DEBUG
+ printf("Ctos=%d poped %d\n",Ctos,2);
+#endif
+ if ((t2->top == 0) || (t1->top == 0))
+ w->top=0;
+ else
+ BN_mul(w,t1,t2);
+
+ LBN_free(t1); /* FREE */
+ LBN_free(t2); /* FREE */
+ state=C10;
+ }
+ else
+ {
+ lr=r[k];
+ lq=q[k];
+ lp=q[k-1]+q[k];
+ state=C4;
+ }
+ break;
+ case C4:
+ for (z=0; z<2; z++) /* do for u and v */
+ {
+ /* break the item at C[Ctos-1]
+ * into lr+1 parts of lq bits each
+ * for j=0; j<=2r; j++
+ */
+ t1=C[--Ctos]; /* pop off u */
+#ifdef DEBUG
+ printf("Ctos=%d poped %d\n",Ctos,1);
+#endif
+ if ((t2=LBN_dup(t1)) == NULL) goto err;
+ BN_mask_bits(t2,lq);
+ T[Ttos++]=t2;
+#ifdef DEBUG
+ printf("C4 r=0 bits=%d\n",BN_num_bits(t2));
+#endif
+ for (i=1; i<=lr; i++)
+ {
+ if (!BN_rshift(t1,t1,lq)) goto err;
+ if ((t2=LBN_dup(t1)) == NULL) goto err;
+ BN_mask_bits(t2,lq);
+ T[Ttos++]=t2;
+#ifdef DEBUG
+ printf("C4 r=%d bits=%d\n",i,
+ BN_num_bits(t2));
+#endif
+ }
+ LBN_free(t1);
+
+ if ((t2=LBN_new()) == NULL) goto err;
+ if ((t3=LBN_new()) == NULL) goto err;
+ for (j=0; j<=2*lr; j++)
+ {
+ if ((t1=LBN_new()) == NULL) goto err;
+
+ if (!BN_set_word(t3,j)) goto err;
+ for (i=lr; i>=0; i--)
+ {
+ if (!BN_mul(t2,t1,t3)) goto err;
+ if (!BN_add(t1,t2,T[i])) goto err;
+ }
+ /* t1 is U(j) */
+ if (z == 0)
+ U[Utos++]=t1;
+ else
+ V[Vtos++]=t1;
+ }
+ LBN_free(t2);
+ LBN_free(t3);
+ while (Ttos) LBN_free(T[--Ttos]);
+ }
+#ifdef DEBUG
+ for (i=0; i<Utos; i++)
+ printf("U[%2d]=%4d bits\n",i,BN_num_bits(U[i]));
+ for (i=0; i<Vtos; i++)
+ printf("V[%2d]=%4d bits\n",i,BN_num_bits(V[i]));
+#endif
+ /* C5 */
+#ifdef DEBUG
+ printf("PUSH CODE2 and %d CODE3 onto stack\n",2*lr);
+#endif
+ C[Ctos++]=CODE2;
+ for (i=2*lr; i>0; i--)
+ {
+ C[Ctos++]=V[i];
+ C[Ctos++]=U[i];
+ C[Ctos++]=CODE3;
+ }
+ C[Ctos++]=V[0];
+ C[Ctos++]=U[0];
+#ifdef DEBUG
+ printf("Ctos=%d pushed %d\n",Ctos,2*lr*3+3);
+#endif
+ Vtos=Utos=0;
+ state=C3;
+ break;
+ case C6:
+ if ((t1=LBN_dup(w)) == NULL) goto err;
+ W[Wtos++]=t1;
+#ifdef DEBUG
+ printf("put %d bit number onto w\n",BN_num_bits(t1));
+#endif
+ state=C3;
+ break;
+ case C7:
+ lr=r[k];
+ lq=q[k];
+ lp=q[k]+q[k-1];
+ z=Wtos-2*lr-1;
+ for (j=1; j<=2*lr; j++)
+ {
+ for (i=2*lr; i>=j; i--)
+ {
+ if (!BN_sub(W[z+i],W[z+i],W[z+i-1])) goto err;
+ BN_div_word(W[z+i],j);
+ }
+ }
+ state=C8;
+ break;
+ case C8:
+ y=2*lr-1;
+ if ((t1=LBN_new()) == NULL) goto err;
+ if ((t3=LBN_new()) == NULL) goto err;
+
+ for (j=y; j>0; j--)
+ {
+ if (!BN_set_word(t3,j)) goto err;
+ for (i=j; i<=y; i++)
+ {
+ if (!BN_mul(t1,W[z+i+1],t3)) goto err;
+ if (!BN_sub(W[z+i],W[z+i],t1)) goto err;
+ }
+ }
+ LBN_free(t1);
+ LBN_free(t3);
+ state=C9;
+ break;
+ case C9:
+ BN_zero(w);
+#ifdef DEBUG
+ printf("lq=%d\n",lq);
+#endif
+ for (i=lr*2; i>=0; i--)
+ {
+ BN_lshift(w,w,lq);
+ BN_add(w,w,W[z+i]);
+ }
+ for (i=0; i<=lr*2; i++)
+ LBN_free(W[--Wtos]);
+ state=C10;
+ break;
+ case C10:
+ k++;
+ t1=C[--Ctos];
+#ifdef DEBUG
+ printf("Ctos=%d poped %d\n",Ctos,1);
+ printf("code= CODE%d\n",t1);
+#endif
+ if (t1 == CODE3)
+ state=C6;
+ else if (t1 == CODE2)
+ {
+ if ((t2=LBN_dup(w)) == NULL) goto err;
+ W[Wtos++]=t2;
+ state=C7;
+ }
+ else if (t1 == CODE1)
+ {
+ state=DONE;
+ }
+ else
+ {
+ printf("BAD ERROR\n");
+ goto err;
+ }
+ break;
+ default:
+ printf("bad state\n");
+ goto err;
+ break;
+ }
+ if (state == DONE) break;
+ }
+ ret=1;
+err:
+ if (ret == 0) printf("ERROR\n");
+ return(ret);
+ }
+
+#ifdef MAIN
+main()
+ {
+ BIGNUM *a,*b,*r;
+ int i;
+
+ if ((a=LBN_new()) == NULL) goto err;
+ if ((b=LBN_new()) == NULL) goto err;
+ if ((r=LBN_new()) == NULL) goto err;
+
+ if (!BN_rand(a,1024*2,0,0)) goto err;
+ if (!BN_rand(b,1024*2,0,0)) goto err;
+
+ for (i=0; i<10; i++)
+ {
+ if (!BN_mul_knuth(r,a,b)) goto err; /**/
+ /*if (!BN_mul(r,a,b)) goto err; /**/
+ }
+BN_print(stdout,a); printf(" * ");
+BN_print(stdout,b); printf(" =\n");
+BN_print(stdout,r); printf("\n");
+
+printf("BN_new() =%d\nBN_free()=%d max=%d\n",new_total,Free_total,max);
+
+
+ exit(0);
+err:
+ ERR_load_crypto_strings();
+ ERR_print_errors(stderr);
+ exit(1);
+ }
+#endif
+
+int BN_mask_bits(a,n)
+BIGNUM *a;
+int n;
+ {
+ int b,w;
+
+ w=n/BN_BITS2;
+ b=n%BN_BITS2;
+ if (w >= a->top) return(0);
+ if (b == 0)
+ a->top=w;
+ else
+ {
+ a->top=w+1;
+ a->d[w]&= ~(BN_MASK2<<b);
+ }
+ return(1);
+ }
+
+BIGNUM *LBN_dup(a)
+BIGNUM *a;
+ {
+ new_total++;
+ max_total++;
+ if (max_total > max) max=max_total;
+ return(BN_dup(a));
+ }
+
+BIGNUM *LBN_new()
+ {
+ new_total++;
+ max_total++;
+ if (max_total > max) max=max_total;
+ return(BN_new());
+ }
+
+void LBN_free(a)
+BIGNUM *a;
+ {
+ max_total--;
+ if (max_total > max) max=max_total;
+ Free_total++;
+ BN_free(a);
+ }