Remove randomness from the test. These constants give me a segment
[openssl.git] / crypto / bn / bntest.c
index c60cee7388e2bc7c6b959ec4b06152f93221fb0f..3c0c95feb609028db2c687341d3b743b1ea2399e 100644 (file)
@@ -59,7 +59,9 @@
 #include <stdio.h>
 #include <stdlib.h>
 #include <string.h>
-#include <openssl/e_os.h>
+
+#include "openssl/e_os.h"
+
 #include <openssl/bio.h>
 #include <openssl/bn.h>
 #include <openssl/rand.h>
 #include "../bio/bss_file.c"
 #endif
 
+const int num0 = 100; /* number of tests */
+const int num1 = 50;  /* additional tests for some functions */
+const int num2 = 5;   /* number of tests for slow functions */
+
 int test_add(BIO *bp);
 int test_sub(BIO *bp);
 int test_lshift1(BIO *bp);
-int test_lshift(BIO *bp);
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
 int test_rshift1(BIO *bp);
-int test_rshift(BIO *bp);
+int test_rshift(BIO *bp,BN_CTX *ctx);
 int test_div(BIO *bp,BN_CTX *ctx);
 int test_div_recp(BIO *bp,BN_CTX *ctx);
 int test_mul(BIO *bp);
@@ -85,6 +91,8 @@ int test_mod(BIO *bp,BN_CTX *ctx);
 int test_mod_mul(BIO *bp,BN_CTX *ctx);
 int test_mod_exp(BIO *bp,BN_CTX *ctx);
 int test_exp(BIO *bp,BN_CTX *ctx);
+int test_kron(BIO *bp,BN_CTX *ctx);
+int test_sqrt(BIO *bp,BN_CTX *ctx);
 int rand_neg(void);
 static int results=0;
 
@@ -93,13 +101,32 @@ static int results=0;
 #include "bss_file.c"
 #endif
 
+static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
+"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+static void message(BIO *out, char *m)
+       {
+       fprintf(stderr, "test %s\n", m);
+#if defined(linux) || defined(__FreeBSD__) /* can we use GNU bc features? */
+       BIO_puts(out, "print \"test ");
+       BIO_puts(out, m);
+       BIO_puts(out, "\\n\"\n");
+#endif
+       }
+
 int main(int argc, char *argv[])
        {
        BN_CTX *ctx;
        BIO *out;
        char *outfile=NULL;
 
-       srand((unsigned int)time(NULL));
+       results = 0;
+
+       RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we don't
+                                              * even check its return value
+                                              * (which we should) */
 
        argc--;
        argv++;
@@ -138,72 +165,92 @@ int main(int argc, char *argv[])
        if (!results)
                BIO_puts(out,"obase=16\nibase=16\n");
 
-       fprintf(stderr,"test BN_add\n");
+#if 0
+       message(out,"BN_add");
        if (!test_add(out)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_sub\n");
+       message(out,"BN_sub");
        if (!test_sub(out)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_lshift1\n");
+       message(out,"BN_lshift1");
        if (!test_lshift1(out)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_lshift\n");
-       if (!test_lshift(out)) goto err;
-       fflush(stdout);
+       message(out,"BN_lshift (fixed)");
+       if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
+           goto err;
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_rshift1\n");
+       message(out,"BN_lshift");
+       if (!test_lshift(out,ctx,NULL)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_rshift1");
        if (!test_rshift1(out)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_rshift\n");
-       if (!test_rshift(out)) goto err;
-       fflush(stdout);
+       message(out,"BN_rshift");
+       if (!test_rshift(out,ctx)) goto err;
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_sqr\n");
+       message(out,"BN_sqr");
        if (!test_sqr(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_mul\n");
+       message(out,"BN_mul");
        if (!test_mul(out)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_div\n");
+       message(out,"BN_div");
        if (!test_div(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_div_recp\n");
+       message(out,"BN_div_recp");
        if (!test_div_recp(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_mod\n");
+       message(out,"BN_mod");
        if (!test_mod(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_mod_mul\n");
+       message(out,"BN_mod_mul");
        if (!test_mod_mul(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-/*
-       fprintf(stderr,"test BN_mont\n");
+       message(out,"BN_mont");
        if (!test_mont(out,ctx)) goto err;
-       fflush(stdout);
-*/
-       fprintf(stderr,"test BN_mod_exp\n");
+       BIO_flush(out);
+
+       message(out,"BN_mod_exp");
        if (!test_mod_exp(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
 
-       fprintf(stderr,"test BN_exp\n");
+       message(out,"BN_exp");
        if (!test_exp(out,ctx)) goto err;
-       fflush(stdout);
+       BIO_flush(out);
+#endif
+
+       message(out,"BN_kronecker");
+       if (!test_kron(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_mod_sqrt");
+       if (!test_sqrt(out,ctx)) goto err;
+       BIO_flush(out);
+
+       BN_CTX_free(ctx);
+       BIO_free(out);
 
 /**/
        exit(0);
 err:
+       BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
+                             * the failure, see test_bn in test/Makefile.ssl*/
+       BIO_flush(out);
        ERR_load_crypto_strings();
-       ERR_print_errors(out);
+       ERR_print_errors_fp(stderr);
        exit(1);
        return(1);
        }
@@ -219,7 +266,7 @@ int test_add(BIO *bp)
        BN_init(&c);
 
        BN_rand(&a,512,0,0);
-       for (i=0; i<100; i++)
+       for (i=0; i<num0; i++)
                {
                BN_rand(&b,450+i,0,0);
                a.neg=rand_neg();
@@ -240,6 +287,15 @@ int test_add(BIO *bp)
                        BN_print(bp,&c);
                        BIO_puts(bp,"\n");
                        }
+               a.neg=!a.neg;
+               b.neg=!b.neg;
+               BN_add(&c,&c,&b);
+               BN_add(&c,&c,&a);
+               if(!BN_is_zero(&c))
+                   {
+                   fprintf(stderr,"Add test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(&a);
        BN_free(&b);
@@ -257,12 +313,21 @@ int test_sub(BIO *bp)
        BN_init(&b);
        BN_init(&c);
 
-       BN_rand(&a,512,0,0);
-       for (i=0; i<100; i++)
+       for (i=0; i<num0+num1; i++)
                {
-               BN_rand(&b,400+i,0,0);
-               a.neg=rand_neg();
-               b.neg=rand_neg();
+               if (i < num1)
+                       {
+                       BN_rand(&a,512,0,0);
+                       BN_copy(&b,&a);
+                       if (BN_set_bit(&a,i)==0) return(0);
+                       BN_add_word(&b,i);
+                       }
+               else
+                       {
+                       BN_rand(&b,400+i-num1,0,0);
+                       a.neg=rand_neg();
+                       b.neg=rand_neg();
+                       }
                if (bp == NULL)
                        for (j=0; j<10000; j++)
                                BN_sub(&c,&a,&b);
@@ -279,6 +344,13 @@ int test_sub(BIO *bp)
                        BN_print(bp,&c);
                        BIO_puts(bp,"\n");
                        }
+               BN_add(&c,&c,&b);
+               BN_sub(&c,&c,&a);
+               if(!BN_is_zero(&c))
+                   {
+                   fprintf(stderr,"Subtract test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(&a);
        BN_free(&b);
@@ -288,7 +360,7 @@ int test_sub(BIO *bp)
 
 int test_div(BIO *bp, BN_CTX *ctx)
        {
-       BIGNUM a,b,c,d;
+       BIGNUM a,b,c,d,e;
        int i;
        int j;
 
@@ -296,11 +368,19 @@ int test_div(BIO *bp, BN_CTX *ctx)
        BN_init(&b);
        BN_init(&c);
        BN_init(&d);
+       BN_init(&e);
 
-       BN_rand(&a,400,0,0);
-       for (i=0; i<100; i++)
+       for (i=0; i<num0+num1; i++)
                {
-               BN_rand(&b,50+i,0,0);
+               if (i < num1)
+                       {
+                       BN_rand(&a,400,0,0);
+                       BN_copy(&b,&a);
+                       BN_lshift(&a,&a,i);
+                       BN_add_word(&a,i);
+                       }
+               else
+                       BN_rand(&b,50+3*(i-num1),0,0);
                a.neg=rand_neg();
                b.neg=rand_neg();
                if (bp == NULL)
@@ -329,17 +409,26 @@ int test_div(BIO *bp, BN_CTX *ctx)
                        BN_print(bp,&c);
                        BIO_puts(bp,"\n");
                        }
+               BN_mul(&e,&d,&b,ctx);
+               BN_add(&d,&e,&c);
+               BN_sub(&d,&d,&a);
+               if(!BN_is_zero(&d))
+                   {
+                   fprintf(stderr,"Division test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(&a);
        BN_free(&b);
        BN_free(&c);
        BN_free(&d);
+       BN_free(&e);
        return(1);
        }
 
 int test_div_recp(BIO *bp, BN_CTX *ctx)
        {
-       BIGNUM a,b,c,d;
+       BIGNUM a,b,c,d,e;
        BN_RECP_CTX recp;
        int i;
        int j;
@@ -349,11 +438,19 @@ int test_div_recp(BIO *bp, BN_CTX *ctx)
        BN_init(&b);
        BN_init(&c);
        BN_init(&d);
+       BN_init(&e);
 
-       BN_rand(&a,400,0,0);
-       for (i=0; i<100; i++)
+       for (i=0; i<num0+num1; i++)
                {
-               BN_rand(&b,50+i,0,0);
+               if (i < num1)
+                       {
+                       BN_rand(&a,400,0,0);
+                       BN_copy(&b,&a);
+                       BN_lshift(&a,&a,i);
+                       BN_add_word(&a,i);
+                       }
+               else
+                       BN_rand(&b,50+3*(i-num1),0,0);
                a.neg=rand_neg();
                b.neg=rand_neg();
                BN_RECP_CTX_set(&recp,&b,ctx);
@@ -383,18 +480,32 @@ int test_div_recp(BIO *bp, BN_CTX *ctx)
                        BN_print(bp,&c);
                        BIO_puts(bp,"\n");
                        }
+               BN_mul(&e,&d,&b,ctx);
+               BN_add(&d,&e,&c);
+               BN_sub(&d,&d,&a);
+               if(!BN_is_zero(&d))
+                   {
+                   fprintf(stderr,"Reciprocal division test failed!\n");
+                   fprintf(stderr,"a=");
+                   BN_print_fp(stderr,&a);
+                   fprintf(stderr,"\nb=");
+                   BN_print_fp(stderr,&b);
+                   fprintf(stderr,"\n");
+                   return 0;
+                   }
                }
        BN_free(&a);
        BN_free(&b);
        BN_free(&c);
        BN_free(&d);
+       BN_free(&e);
        BN_RECP_CTX_free(&recp);
        return(1);
        }
 
 int test_mul(BIO *bp)
        {
-       BIGNUM a,b,c;
+       BIGNUM a,b,c,d,e;
        int i;
        int j;
        BN_CTX ctx;
@@ -403,19 +514,24 @@ int test_mul(BIO *bp)
        BN_init(&a);
        BN_init(&b);
        BN_init(&c);
+       BN_init(&d);
+       BN_init(&e);
 
-       BN_rand(&a,200,0,0);
-       for (i=0; i<100; i++)
+       for (i=0; i<num0+num1; i++)
                {
-               BN_rand(&b,250+i,0,0);
-               BN_rand(&b,200,0,0);
+               if (i <= num1)
+                       {
+                       BN_rand(&a,100,0,0);
+                       BN_rand(&b,100,0,0);
+                       }
+               else
+                       BN_rand(&b,i-num1,0,0);
                a.neg=rand_neg();
                b.neg=rand_neg();
                if (bp == NULL)
                        for (j=0; j<100; j++)
                                BN_mul(&c,&a,&b,&ctx);
                BN_mul(&c,&a,&b,&ctx);
-/*bn_do(&c,&a,&b,ctx); */
                if (bp != NULL)
                        {
                        if (!results)
@@ -428,24 +544,35 @@ int test_mul(BIO *bp)
                        BN_print(bp,&c);
                        BIO_puts(bp,"\n");
                        }
+               BN_div(&d,&e,&c,&a,&ctx);
+               BN_sub(&d,&d,&b);
+               if(!BN_is_zero(&d) || !BN_is_zero(&e))
+                   {
+                   fprintf(stderr,"Multiplication test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(&a);
        BN_free(&b);
        BN_free(&c);
+       BN_free(&d);
+       BN_free(&e);
        BN_CTX_free(&ctx);
        return(1);
        }
 
 int test_sqr(BIO *bp, BN_CTX *ctx)
        {
-       BIGNUM a,c;
+       BIGNUM a,c,d,e;
        int i;
        int j;
 
        BN_init(&a);
        BN_init(&c);
+       BN_init(&d);
+       BN_init(&e);
 
-       for (i=0; i<40; i++)
+       for (i=0; i<num0; i++)
                {
                BN_rand(&a,40+i*10,0,0);
                a.neg=rand_neg();
@@ -465,15 +592,24 @@ int test_sqr(BIO *bp, BN_CTX *ctx)
                        BN_print(bp,&c);
                        BIO_puts(bp,"\n");
                        }
+               BN_div(&d,&e,&c,&a,ctx);
+               BN_sub(&d,&d,&a);
+               if(!BN_is_zero(&d) || !BN_is_zero(&e))
+                   {
+                   fprintf(stderr,"Square test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(&a);
        BN_free(&c);
+       BN_free(&d);
+       BN_free(&e);
        return(1);
        }
 
 int test_mont(BIO *bp, BN_CTX *ctx)
        {
-       BIGNUM a,b,c,A,B;
+       BIGNUM a,b,c,d,A,B;
        BIGNUM n;
        int i;
        int j;
@@ -482,6 +618,7 @@ int test_mont(BIO *bp, BN_CTX *ctx)
        BN_init(&a);
        BN_init(&b);
        BN_init(&c);
+       BN_init(&d);
        BN_init(&A);
        BN_init(&B);
        BN_init(&n);
@@ -490,11 +627,18 @@ int test_mont(BIO *bp, BN_CTX *ctx)
 
        BN_rand(&a,100,0,0); /**/
        BN_rand(&b,100,0,0); /**/
-       for (i=0; i<10; i++)
+       for (i=0; i<num2; i++)
                {
-               BN_rand(&n,(100%BN_BITS2+1)*BN_BITS2*i*BN_BITS2,0,1); /**/
+               int bits = (200*(i+1))/num2;
+
+               if (bits == 0)
+                       continue;
+               BN_rand(&n,bits,0,1);
                BN_MONT_CTX_set(mont,&n,ctx);
 
+               BN_nnmod(&a,&a,&n,ctx);
+               BN_nnmod(&b,&b,&n,ctx);
+
                BN_to_montgomery(&A,&a,mont,ctx);
                BN_to_montgomery(&B,&b,mont,ctx);
 
@@ -523,26 +667,39 @@ BN_num_bits(mont->N));
                        BN_print(bp,&A);
                        BIO_puts(bp,"\n");
                        }
+               BN_mod_mul(&d,&a,&b,&n,ctx);
+               BN_sub(&d,&d,&A);
+               if(!BN_is_zero(&d))
+                   {
+                   fprintf(stderr,"Montgomery multiplication test failed!\n");
+                   return 0;
+                   }
                }
        BN_MONT_CTX_free(mont);
        BN_free(&a);
        BN_free(&b);
        BN_free(&c);
+       BN_free(&d);
+       BN_free(&A);
+       BN_free(&B);
+       BN_free(&n);
        return(1);
        }
 
 int test_mod(BIO *bp, BN_CTX *ctx)
        {
-       BIGNUM *a,*b,*c;
+       BIGNUM *a,*b,*c,*d,*e;
        int i;
        int j;
 
        a=BN_new();
        b=BN_new();
        c=BN_new();
+       d=BN_new();
+       e=BN_new();
 
        BN_rand(a,1024,0,0); /**/
-       for (i=0; i<20; i++)
+       for (i=0; i<num0; i++)
                {
                BN_rand(b,450+i*10,0,0); /**/
                a->neg=rand_neg();
@@ -563,10 +720,19 @@ int test_mod(BIO *bp, BN_CTX *ctx)
                        BN_print(bp,c);
                        BIO_puts(bp,"\n");
                        }
+               BN_div(d,e,a,b,ctx);
+               BN_sub(e,e,c);
+               if(!BN_is_zero(e))
+                   {
+                   fprintf(stderr,"Modulo test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(a);
        BN_free(b);
        BN_free(c);
+       BN_free(d);
+       BN_free(e);
        return(1);
        }
 
@@ -582,10 +748,10 @@ int test_mod_mul(BIO *bp, BN_CTX *ctx)
        e=BN_new();
 
        BN_rand(c,1024,0,0); /**/
-       for (i=0; i<10; i++)
+       for (i=0; i<num0; i++)
                {
                BN_rand(a,475+i*10,0,0); /**/
-               BN_rand(b,425+i*10,0,0); /**/
+               BN_rand(b,425+i*11,0,0); /**/
                a->neg=rand_neg();
                b->neg=rand_neg();
        /*      if (bp == NULL)
@@ -610,11 +776,30 @@ int test_mod_mul(BIO *bp, BN_CTX *ctx)
                                BN_print(bp,b);
                                BIO_puts(bp," % ");
                                BN_print(bp,c);
+                               if ((a->neg ^ b->neg) && !BN_is_zero(e))
+                                       {
+                                       /* If  (a*b) % c  is negative,  c  must be added
+                                        * in order to obtain the normalized remainder
+                                        * (new with OpenSSL 0.9.7, previous versions of
+                                        * BN_mod_mul could generate negative results)
+                                        */
+                                       BIO_puts(bp," + ");
+                                       BN_print(bp,c);
+                                       }
                                BIO_puts(bp," - ");
                                }
                        BN_print(bp,e);
                        BIO_puts(bp,"\n");
                        }
+               BN_mul(d,a,b,ctx);
+               BN_sub(d,d,e);
+               BN_div(a,b,d,c,ctx);
+               if(!BN_is_zero(b))
+                   {
+                   fprintf(stderr,"Modulo multiply test failed!\n");
+                   ERR_print_errors_fp(stderr);
+                   return 0;
+                   }
                }
        BN_free(a);
        BN_free(b);
@@ -636,7 +821,7 @@ int test_mod_exp(BIO *bp, BN_CTX *ctx)
        e=BN_new();
 
        BN_rand(c,30,0,1); /* must be odd for montgomery */
-       for (i=0; i<6; i++)
+       for (i=0; i<num2; i++)
                {
                BN_rand(a,20+i*5,0,0); /**/
                BN_rand(b,2+i,0,0); /**/
@@ -658,6 +843,14 @@ int test_mod_exp(BIO *bp, BN_CTX *ctx)
                        BN_print(bp,d);
                        BIO_puts(bp,"\n");
                        }
+               BN_exp(e,a,b,ctx);
+               BN_sub(e,e,d);
+               BN_div(a,b,e,c,ctx);
+               if(!BN_is_zero(b))
+                   {
+                   fprintf(stderr,"Modulo exponentiation test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(a);
        BN_free(b);
@@ -669,15 +862,17 @@ int test_mod_exp(BIO *bp, BN_CTX *ctx)
 
 int test_exp(BIO *bp, BN_CTX *ctx)
        {
-       BIGNUM *a,*b,*d,*e;
+       BIGNUM *a,*b,*d,*e,*one;
        int i;
 
        a=BN_new();
        b=BN_new();
        d=BN_new();
        e=BN_new();
+       one=BN_new();
+       BN_one(one);
 
-       for (i=0; i<6; i++)
+       for (i=0; i<num2; i++)
                {
                BN_rand(a,20+i*5,0,0); /**/
                BN_rand(b,2+i,0,0); /**/
@@ -697,27 +892,223 @@ int test_exp(BIO *bp, BN_CTX *ctx)
                        BN_print(bp,d);
                        BIO_puts(bp,"\n");
                        }
+               BN_one(e);
+               for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
+                   BN_mul(e,e,a,ctx);
+               BN_sub(e,e,d);
+               if(!BN_is_zero(e))
+                   {
+                   fprintf(stderr,"Exponentiation test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(a);
        BN_free(b);
        BN_free(d);
        BN_free(e);
+       BN_free(one);
        return(1);
        }
 
-int test_lshift(BIO *bp)
+static void genprime_cb(int p, int n, void *arg)
        {
-       BIGNUM *a,*b,*c;
+       char c='*';
+
+       if (p == 0) c='.';
+       if (p == 1) c='+';
+       if (p == 2) c='*';
+       if (p == 3) c='\n';
+       putc(c, stderr);
+       fflush(stderr);
+       (void)n;
+       (void)arg;
+       }
+
+int test_kron(BIO *bp, BN_CTX *ctx)
+       {
+       BIGNUM *a,*b,*r,*t;
+       int i;
+       int legendre, kronecker;
+       int ret = 0;
+
+       a = BN_new();
+       b = BN_new();
+       r = BN_new();
+       t = BN_new();
+       if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
+       
+       /* We test BN_kronecker(a, b, ctx) just for  b  odd (Jacobi symbol).
+        * In this case we know that if  b  is prime, then BN_kronecker(a, b, ctx)
+        * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
+        * So we generate a random prime  b  and compare these values
+        * for a number of random  a's.  (That is, we run the Solovay-Strassen
+        * primality test to confirm that  b  is prime, except that we
+        * don't want to test whether  b  is prime but whether BN_kronecker
+        * works.) */
+
+#if 0
+       if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
+#else
+       if (!BN_set_word(b,65537)) goto err;
+#endif
+       putc('\n', stderr);
+
+       for (i = 0; i < num0; i++)
+               {
+#if 0
+               if (!BN_rand(a, 512, 0, 0)) goto err;
+               a->neg = rand_neg();
+#else
+               if (!BN_bin2bn("\x01\xff\xff\xff\xff", 5, a)) goto err;
+#endif
+
+               /* t := (b-1)/2  (note that b is odd) */
+               if (!BN_copy(t, b)) goto err;
+               if (!BN_sub_word(t, 1)) goto err;
+               if (!BN_rshift1(t, t)) goto err;
+               /* r := a^t mod b */
+#if 0
+               if (!BN_mod_exp(r, a, t, b, ctx)) goto err;
+#elif 0
+               if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
+#else
+               if (!BN_mod_exp_simple(r, a, t, b, ctx)) goto err;
+#endif
+
+               if (BN_is_word(r, 1))
+                       legendre = 1;
+               else if (BN_is_zero(r))
+                       legendre = 0;
+               else
+                       {
+                       if (!BN_add_word(r, 1)) goto err;
+                       if (0 != BN_cmp(r, b))
+                               {
+                               fprintf(stderr, "Legendre symbol computation failed\n");
+                               goto err;
+                               }
+                       legendre = -1;
+                       }
+
+               kronecker = BN_kronecker(a, b, ctx);
+               if (kronecker < -1) goto err;
+               
+               if (legendre != kronecker)
+                       {
+                       fprintf(stderr, "legendre != kronecker; a = ");
+                       BN_print_fp(stderr, a);
+                       fprintf(stderr, ", a = ");
+                       BN_print_fp(stderr, b);
+                       fprintf(stderr, "\n");
+                       goto err;
+                       }
+
+               putc('.', stderr);
+               fflush(stderr);
+               }
+
+       putc('\n', stderr);
+       fflush(stderr);
+       ret = 1;
+ err:
+       if (a != NULL) BN_free(a);
+       if (b != NULL) BN_free(b);
+       if (r != NULL) BN_free(r);
+       if (t != NULL) BN_free(t);
+       return ret;
+       }
+
+int test_sqrt(BIO *bp, BN_CTX *ctx)
+       {
+       BIGNUM *a,*p,*r;
+       int i, j;
+       int ret = 0;
+
+       a = BN_new();
+       p = BN_new();
+       r = BN_new();
+       if (a == NULL || p == NULL || r == NULL) goto err;
+       
+       for (i = 0; i < 16; i++)
+               {
+               if (i < 8)
+                       {
+                       unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
+                       
+                       if (!BN_set_word(p, primes[i])) goto err;
+                       }
+               else
+                       {
+                       if (!BN_set_word(a, 32)) goto err;
+                       if (!BN_set_word(r, 2*i + 1)) goto err;
+               
+                       if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
+                       putc('\n', stderr);
+                       }
+
+               for (j = 0; j < num2; j++)
+                       {
+                       /* construct 'a' such that it is a square modulo p,
+                        * but in general not a proper square and not reduced modulo p */
+                       if (!BN_rand(r, 256, 0, 3)) goto err;
+                       if (!BN_nnmod(r, r, p, ctx)) goto err;
+                       if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+                       if (!BN_rand(a, 256, 0, 3)) goto err;
+                       if (!BN_nnmod(a, a, p, ctx)) goto err;
+                       if (!BN_mod_sqr(a, a, p, ctx)) goto err;
+                       if (!BN_mul(a, a, r, ctx)) goto err;
+
+                       if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
+                       if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+
+                       if (!BN_nnmod(a, a, p, ctx)) goto err;
+
+                       if (BN_cmp(a, r) != 0)
+                               {
+                               fprintf(stderr, "BN_mod_sqrt failed: a = ");
+                               BN_print_fp(stderr, a);
+                               fprintf(stderr, ", r = ");
+                               BN_print_fp(stderr, r);
+                               fprintf(stderr, ", p = ");
+                               BN_print_fp(stderr, p);
+                               fprintf(stderr, "\n");
+                               goto err;
+                               }
+
+                       putc('.', stderr);
+                       fflush(stderr);
+                       }
+               
+               putc('\n', stderr);
+               fflush(stderr);
+               }
+       ret = 1;
+ err:
+       if (a != NULL) BN_free(a);
+       if (p != NULL) BN_free(p);
+       if (r != NULL) BN_free(r);
+       return ret;
+       }
+
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
+       {
+       BIGNUM *a,*b,*c,*d;
        int i;
 
-       a=BN_new();
        b=BN_new();
        c=BN_new();
+       d=BN_new();
        BN_one(c);
 
-       BN_rand(a,200,0,0); /**/
-       a->neg=rand_neg();
-       for (i=0; i<70; i++)
+       if(a_)
+           a=a_;
+       else
+           {
+           a=BN_new();
+           BN_rand(a,200,0,0); /**/
+           a->neg=rand_neg();
+           }
+       for (i=0; i<num0; i++)
                {
                BN_lshift(b,a,i+1);
                BN_add(c,c,c);
@@ -733,24 +1124,42 @@ int test_lshift(BIO *bp)
                        BN_print(bp,b);
                        BIO_puts(bp,"\n");
                        }
+               BN_mul(d,a,c,ctx);
+               BN_sub(d,d,b);
+               if(!BN_is_zero(d))
+                   {
+                   fprintf(stderr,"Left shift test failed!\n");
+                   fprintf(stderr,"a=");
+                   BN_print_fp(stderr,a);
+                   fprintf(stderr,"\nb=");
+                   BN_print_fp(stderr,b);
+                   fprintf(stderr,"\nc=");
+                   BN_print_fp(stderr,c);
+                   fprintf(stderr,"\nd=");
+                   BN_print_fp(stderr,d);
+                   fprintf(stderr,"\n");
+                   return 0;
+                   }
                }
        BN_free(a);
        BN_free(b);
        BN_free(c);
+       BN_free(d);
        return(1);
        }
 
 int test_lshift1(BIO *bp)
        {
-       BIGNUM *a,*b;
+       BIGNUM *a,*b,*c;
        int i;
 
        a=BN_new();
        b=BN_new();
+       c=BN_new();
 
        BN_rand(a,200,0,0); /**/
        a->neg=rand_neg();
-       for (i=0; i<70; i++)
+       for (i=0; i<num0; i++)
                {
                BN_lshift1(b,a);
                if (bp != NULL)
@@ -764,26 +1173,37 @@ int test_lshift1(BIO *bp)
                        BN_print(bp,b);
                        BIO_puts(bp,"\n");
                        }
+               BN_add(c,a,a);
+               BN_sub(a,b,c);
+               if(!BN_is_zero(a))
+                   {
+                   fprintf(stderr,"Left shift one test failed!\n");
+                   return 0;
+                   }
+               
                BN_copy(a,b);
                }
        BN_free(a);
        BN_free(b);
+       BN_free(c);
        return(1);
        }
 
-int test_rshift(BIO *bp)
+int test_rshift(BIO *bp,BN_CTX *ctx)
        {
-       BIGNUM *a,*b,*c;
+       BIGNUM *a,*b,*c,*d,*e;
        int i;
 
        a=BN_new();
        b=BN_new();
        c=BN_new();
+       d=BN_new();
+       e=BN_new();
        BN_one(c);
 
        BN_rand(a,200,0,0); /**/
        a->neg=rand_neg();
-       for (i=0; i<70; i++)
+       for (i=0; i<num0; i++)
                {
                BN_rshift(b,a,i+1);
                BN_add(c,c,c);
@@ -799,24 +1219,34 @@ int test_rshift(BIO *bp)
                        BN_print(bp,b);
                        BIO_puts(bp,"\n");
                        }
+               BN_div(d,e,a,c,ctx);
+               BN_sub(d,d,b);
+               if(!BN_is_zero(d))
+                   {
+                   fprintf(stderr,"Right shift test failed!\n");
+                   return 0;
+                   }
                }
        BN_free(a);
        BN_free(b);
        BN_free(c);
+       BN_free(d);
+       BN_free(e);
        return(1);
        }
 
 int test_rshift1(BIO *bp)
        {
-       BIGNUM *a,*b;
+       BIGNUM *a,*b,*c;
        int i;
 
        a=BN_new();
        b=BN_new();
+       c=BN_new();
 
        BN_rand(a,200,0,0); /**/
        a->neg=rand_neg();
-       for (i=0; i<70; i++)
+       for (i=0; i<num0; i++)
                {
                BN_rshift1(b,a);
                if (bp != NULL)
@@ -830,10 +1260,18 @@ int test_rshift1(BIO *bp)
                        BN_print(bp,b);
                        BIO_puts(bp,"\n");
                        }
+               BN_sub(c,a,b);
+               BN_sub(c,c,b);
+               if(!BN_is_zero(c) && !BN_is_one(c))
+                   {
+                   fprintf(stderr,"Right shift one test failed!\n");
+                   return 0;
+                   }
                BN_copy(a,b);
                }
        BN_free(a);
        BN_free(b);
+       BN_free(c);
        return(1);
        }