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[apple/security.git] / Security / libsecurity_apple_csp / open_ssl / bn / bntest.c
diff --git a/Security/libsecurity_apple_csp/open_ssl/bn/bntest.c b/Security/libsecurity_apple_csp/open_ssl/bn/bntest.c
new file mode 100644 (file)
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+/*
+ * Copyright (c) 2000-2001,2011,2014 Apple Inc. All Rights Reserved.
+ * 
+ * The contents of this file constitute Original Code as defined in and are
+ * subject to the Apple Public Source License Version 1.2 (the 'License').
+ * You may not use this file except in compliance with the License. Please obtain
+ * a copy of the License at http://www.apple.com/publicsource and read it before
+ * using this file.
+ * 
+ * This Original Code and all software distributed under the License are
+ * distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESS
+ * OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES, INCLUDING WITHOUT
+ * LIMITATION, ANY WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
+ * PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT. Please see the License for the
+ * specific language governing rights and limitations under the License.
+ */
+
+
+/* crypto/bn/bntest.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * 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.]
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "openssl/e_os.h"
+
+#include <openssl/bio.h>
+#include <openssl/bn.h>
+#include <openssl/rand.h>
+#include <openssl/x509.h>
+#include <openssl/err.h>
+
+#ifdef WINDOWS
+#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,BN_CTX *ctx,BIGNUM *a_);
+int test_rshift1(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);
+int test_sqr(BIO *bp,BN_CTX *ctx);
+int test_mont(BIO *bp,BN_CTX *ctx);
+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 rand_neg(void);
+static int results=0;
+
+#ifdef NO_STDIO
+#define APPS_WIN16
+#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;
+
+       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++;
+       while (argc >= 1)
+               {
+               if (strcmp(*argv,"-results") == 0)
+                       results=1;
+               else if (strcmp(*argv,"-out") == 0)
+                       {
+                       if (--argc < 1) break;
+                       outfile= *(++argv);
+                       }
+               argc--;
+               argv++;
+               }
+
+
+       ctx=BN_CTX_new();
+       if (ctx == NULL) exit(1);
+
+       out=BIO_new(BIO_s_file());
+       if (out == NULL) exit(1);
+       if (outfile == NULL)
+               {
+               BIO_set_fp(out,stdout,BIO_NOCLOSE);
+               }
+       else
+               {
+               if (!BIO_write_filename(out,outfile))
+                       {
+                       perror(outfile);
+                       exit(1);
+                       }
+               }
+
+       if (!results)
+               BIO_puts(out,"obase=16\nibase=16\n");
+
+       message(out,"BN_add");
+       if (!test_add(out)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_sub");
+       if (!test_sub(out)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_lshift1");
+       if (!test_lshift1(out)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_lshift (fixed)");
+       if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
+           goto err;
+       BIO_flush(out);
+
+       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;
+       BIO_flush(out);
+
+       message(out,"BN_rshift");
+       if (!test_rshift(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_sqr");
+       if (!test_sqr(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_mul");
+       if (!test_mul(out)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_div");
+       if (!test_div(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_div_recp");
+       if (!test_div_recp(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_mod");
+       if (!test_mod(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_mod_mul");
+       if (!test_mod_mul(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_mont");
+       if (!test_mont(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_mod_exp");
+       if (!test_mod_exp(out,ctx)) goto err;
+       BIO_flush(out);
+
+       message(out,"BN_exp");
+       if (!test_exp(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_fp(stderr);
+       exit(1);
+       return(1);
+       }
+
+int test_add(BIO *bp)
+       {
+       BIGNUM a,b,c;
+       int i;
+       int j;
+
+       BN_init(&a);
+       BN_init(&b);
+       BN_init(&c);
+
+       BN_rand(&a,512,0,0);
+       for (i=0; i<num0; i++)
+               {
+               BN_rand(&b,450+i,0,0);
+               a.neg=rand_neg();
+               b.neg=rand_neg();
+               if (bp == NULL)
+                       for (j=0; j<10000; j++)
+                               BN_add(&c,&a,&b);
+               BN_add(&c,&a,&b);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," + ");
+                               BN_print(bp,&b);
+                               BIO_puts(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);
+       BN_free(&c);
+       return(1);
+       }
+
+int test_sub(BIO *bp)
+       {
+       BIGNUM a,b,c;
+       int i;
+       int j;
+
+       BN_init(&a);
+       BN_init(&b);
+       BN_init(&c);
+
+       for (i=0; i<num0+num1; i++)
+               {
+               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);
+               BN_sub(&c,&a,&b);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," - ");
+                               BN_print(bp,&b);
+                               BIO_puts(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);
+       BN_free(&c);
+       return(1);
+       }
+
+int test_div(BIO *bp, BN_CTX *ctx)
+       {
+       BIGNUM a,b,c,d,e;
+       int i;
+       int j;
+
+       BN_init(&a);
+       BN_init(&b);
+       BN_init(&c);
+       BN_init(&d);
+       BN_init(&e);
+
+       for (i=0; i<num0+num1; i++)
+               {
+               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)
+                       for (j=0; j<100; j++)
+                               BN_div(&d,&c,&a,&b,ctx);
+               BN_div(&d,&c,&a,&b,ctx);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," / ");
+                               BN_print(bp,&b);
+                               BIO_puts(bp," - ");
+                               }
+                       BN_print(bp,&d);
+                       BIO_puts(bp,"\n");
+
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," % ");
+                               BN_print(bp,&b);
+                               BIO_puts(bp," - ");
+                               }
+                       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,e;
+       BN_RECP_CTX recp;
+       int i;
+       int j;
+
+       BN_RECP_CTX_init(&recp);
+       BN_init(&a);
+       BN_init(&b);
+       BN_init(&c);
+       BN_init(&d);
+       BN_init(&e);
+
+       for (i=0; i<num0+num1; i++)
+               {
+               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);
+               if (bp == NULL)
+                       for (j=0; j<100; j++)
+                               BN_div_recp(&d,&c,&a,&recp,ctx);
+               BN_div_recp(&d,&c,&a,&recp,ctx);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," / ");
+                               BN_print(bp,&b);
+                               BIO_puts(bp," - ");
+                               }
+                       BN_print(bp,&d);
+                       BIO_puts(bp,"\n");
+
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," % ");
+                               BN_print(bp,&b);
+                               BIO_puts(bp," - ");
+                               }
+                       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,d,e;
+       int i;
+       int j;
+       BN_CTX ctx;
+
+       BN_CTX_init(&ctx);
+       BN_init(&a);
+       BN_init(&b);
+       BN_init(&c);
+       BN_init(&d);
+       BN_init(&e);
+
+       for (i=0; i<num0+num1; i++)
+               {
+               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);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," * ");
+                               BN_print(bp,&b);
+                               BIO_puts(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,d,e;
+       int i;
+       int j;
+
+       BN_init(&a);
+       BN_init(&c);
+       BN_init(&d);
+       BN_init(&e);
+
+       for (i=0; i<num0; i++)
+               {
+               BN_rand(&a,40+i*10,0,0);
+               a.neg=rand_neg();
+               if (bp == NULL)
+                       for (j=0; j<100; j++)
+                               BN_sqr(&c,&a,ctx);
+               BN_sqr(&c,&a,ctx);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,&a);
+                               BIO_puts(bp," * ");
+                               BN_print(bp,&a);
+                               BIO_puts(bp," - ");
+                               }
+                       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,d,A,B;
+       BIGNUM n;
+       int i;
+       int j;
+       BN_MONT_CTX *mont;
+
+       BN_init(&a);
+       BN_init(&b);
+       BN_init(&c);
+       BN_init(&d);
+       BN_init(&A);
+       BN_init(&B);
+       BN_init(&n);
+
+       mont=BN_MONT_CTX_new();
+
+       BN_rand(&a,100,0,0); /**/
+       BN_rand(&b,100,0,0); /**/
+       for (i=0; i<num2; i++)
+               {
+               int bits = (200*(i+1))/num2;
+
+               if (bits == 0)
+                       continue;
+               BN_rand(&n,bits,0,1);
+               BN_MONT_CTX_set(mont,&n,ctx);
+
+               BN_to_montgomery(&A,&a,mont,ctx);
+               BN_to_montgomery(&B,&b,mont,ctx);
+
+               if (bp == NULL)
+                       for (j=0; j<100; j++)
+                               BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
+               BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
+               BN_from_montgomery(&A,&c,mont,ctx);/**/
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+#ifdef undef
+fprintf(stderr,"%d * %d %% %d\n",
+BN_num_bits(&a),
+BN_num_bits(&b),
+BN_num_bits(mont->N));
+#endif
+                               BN_print(bp,&a);
+                               BIO_puts(bp," * ");
+                               BN_print(bp,&b);
+                               BIO_puts(bp," % ");
+                               BN_print(bp,&(mont->N));
+                               BIO_puts(bp," - ");
+                               }
+                       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,*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<num0; i++)
+               {
+               BN_rand(b,450+i*10,0,0); /**/
+               a->neg=rand_neg();
+               b->neg=rand_neg();
+               if (bp == NULL)
+                       for (j=0; j<100; j++)
+                               BN_mod(c,a,b,ctx);/**/
+               BN_mod(c,a,b,ctx);/**/
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," % ");
+                               BN_print(bp,b);
+                               BIO_puts(bp," - ");
+                               }
+                       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);
+       }
+
+int test_mod_mul(BIO *bp, BN_CTX *ctx)
+       {
+       BIGNUM *a,*b,*c,*d,*e;
+       int i;
+
+       a=BN_new();
+       b=BN_new();
+       c=BN_new();
+       d=BN_new();
+       e=BN_new();
+
+       BN_rand(c,1024,0,0); /**/
+       for (i=0; i<num0; i++)
+               {
+               BN_rand(a,475+i*10,0,0); /**/
+               BN_rand(b,425+i*11,0,0); /**/
+               a->neg=rand_neg();
+               b->neg=rand_neg();
+       /*      if (bp == NULL)
+                       for (j=0; j<100; j++)
+                               BN_mod_mul(d,a,b,c,ctx);*/ /**/
+
+               if (!BN_mod_mul(e,a,b,c,ctx))
+                       {
+                       unsigned long l;
+
+                       while ((l=ERR_get_error()))
+                               fprintf(stderr,"ERROR:%s\n",
+                                       ERR_error_string(l,NULL));
+                       exit(1);
+                       }
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," * ");
+                               BN_print(bp,b);
+                               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");
+                   return 0;
+                   }
+               }
+       BN_free(a);
+       BN_free(b);
+       BN_free(c);
+       BN_free(d);
+       BN_free(e);
+       return(1);
+       }
+
+int test_mod_exp(BIO *bp, BN_CTX *ctx)
+       {
+       BIGNUM *a,*b,*c,*d,*e;
+       int i;
+
+       a=BN_new();
+       b=BN_new();
+       c=BN_new();
+       d=BN_new();
+       e=BN_new();
+
+       BN_rand(c,30,0,1); /* must be odd for montgomery */
+       for (i=0; i<num2; i++)
+               {
+               BN_rand(a,20+i*5,0,0); /**/
+               BN_rand(b,2+i,0,0); /**/
+
+               if (!BN_mod_exp(d,a,b,c,ctx))
+                       return(00);
+
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," ^ ");
+                               BN_print(bp,b);
+                               BIO_puts(bp," % ");
+                               BN_print(bp,c);
+                               BIO_puts(bp," - ");
+                               }
+                       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);
+       BN_free(c);
+       BN_free(d);
+       BN_free(e);
+       return(1);
+       }
+
+int test_exp(BIO *bp, BN_CTX *ctx)
+       {
+       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<num2; i++)
+               {
+               BN_rand(a,20+i*5,0,0); /**/
+               BN_rand(b,2+i,0,0); /**/
+
+               if (!BN_exp(d,a,b,ctx))
+                       return(00);
+
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," ^ ");
+                               BN_print(bp,b);
+                               BIO_puts(bp," - ");
+                               }
+                       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,BN_CTX *ctx,BIGNUM *a_)
+       {
+       BIGNUM *a,*b,*c,*d;
+       int i;
+
+       b=BN_new();
+       c=BN_new();
+       d=BN_new();
+       BN_one(c);
+
+       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);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," * ");
+                               BN_print(bp,c);
+                               BIO_puts(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,*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<num0; i++)
+               {
+               BN_lshift1(b,a);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," * 2");
+                               BIO_puts(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,BN_CTX *ctx)
+       {
+       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<num0; i++)
+               {
+               BN_rshift(b,a,i+1);
+               BN_add(c,c,c);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," / ");
+                               BN_print(bp,c);
+                               BIO_puts(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,*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<num0; i++)
+               {
+               BN_rshift1(b,a);
+               if (bp != NULL)
+                       {
+                       if (!results)
+                               {
+                               BN_print(bp,a);
+                               BIO_puts(bp," / 2");
+                               BIO_puts(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);
+       }
+
+int rand_neg(void)
+       {
+       static unsigned int neg=0;
+       static int sign[8]={0,0,0,1,1,0,1,1};
+
+       return(sign[(neg++)%8]);
+       }