Edit

kc3-lang/libtommath/demo/demo.c

Branch :

  • Show log

    Commit

  • Author : Steffen Jaeckel
    Date : 2015-04-26 16:58:36
    Hash : 25480d57
    Message : demo: test one big montgomery reduction ...only for coverage reasons...

  • demo/demo.c
  • #include <time.h>
    
    #ifdef IOWNANATHLON
    #include <unistd.h>
    #define SLEEP sleep(4)
    #else
    #define SLEEP
    #endif
    
    /*
     * Configuration
     */
    #ifndef LTM_DEMO_TEST_VS_MTEST
    #define LTM_DEMO_TEST_VS_MTEST 1
    #endif
    
    #ifndef LTM_DEMO_TEST_REDUCE_2K_L
    /* This test takes a moment so we disable it by default, but it can be:
     * 0 to disable testing
     * 1 to make the test with P = 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF
     * 2 to make the test with P = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F
     */
    #define LTM_DEMO_TEST_REDUCE_2K_L 0
    #endif
    
    #ifdef LTM_DEMO_REAL_RAND
    #define LTM_DEMO_RAND_SEED  time(NULL)
    #else
    #define LTM_DEMO_RAND_SEED  23
    #endif
    
    #include "tommath.h"
    
    void ndraw(mp_int * a, char *name)
    {
       char buf[16000];
    
       printf("%s: ", name);
       mp_toradix(a, buf, 10);
       printf("%s\n", buf);
    }
    
    #if LTM_DEMO_TEST_VS_MTEST
    static void draw(mp_int * a)
    {
       ndraw(a, "");
    }
    #endif
    
    
    unsigned long lfsr = 0xAAAAAAAAUL;
    
    int lbit(void)
    {
       if (lfsr & 0x80000000UL) {
          lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL;
          return 1;
       } else {
          lfsr <<= 1;
          return 0;
       }
    }
    
    #if defined(LTM_DEMO_REAL_RAND) && !defined(_WIN32)
    static FILE* fd_urandom;
    #endif
    int myrng(unsigned char *dst, int len, void *dat)
    {
       int x;
       (void)dat;
    #if defined(LTM_DEMO_REAL_RAND)
       if (!fd_urandom) {
    #if !defined(_WIN32)
          fprintf(stderr, "\nno /dev/urandom\n");
    #endif
       }
       else {
          return fread(dst, 1, len, fd_urandom);
       }
    #endif
       for (x = 0; x < len; x++)
          dst[x] = rand() & 0xFF;
       return len;
    }
    
    #if LTM_DEMO_TEST_VS_MTEST != 0
    static void _panic(int l)
    {
      fprintf(stderr, "\n%d: fgets failed\n", l);
      exit(EXIT_FAILURE);
    }
    #endif
    
    mp_int a, b, c, d, e, f;
    
    static void _cleanup(void)
    {
      mp_clear_multi(&a, &b, &c, &d, &e, &f, NULL);
      printf("\n");
    
    #ifdef LTM_DEMO_REAL_RAND
      if(fd_urandom)
         fclose(fd_urandom);
    #endif
    }
    struct mp_sqrtmod_prime_st {
       unsigned long p;
       unsigned long n;
       mp_digit r;
    };
    struct mp_sqrtmod_prime_st sqrtmod_prime[] = {
          { 5, 14, 3 },
          { 7, 9, 4 },
          { 113, 2, 62 }
    };
    
    char cmd[4096], buf[4096];
    int main(void)
    {
       unsigned rr;
       int cnt, ix;
    #if LTM_DEMO_TEST_VS_MTEST
       unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n,
          gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n;
       char* ret;
    #else
       unsigned long s, t;
       unsigned long long q, r;
       mp_digit mp;
       int i, n, err;
    #endif
    
       if (mp_init_multi(&a, &b, &c, &d, &e, &f, NULL)!= MP_OKAY)
         return EXIT_FAILURE;
    
       atexit(_cleanup);
    
    #if defined(LTM_DEMO_REAL_RAND)
       if (!fd_urandom) {
          fd_urandom = fopen("/dev/urandom", "r");
          if (!fd_urandom) {
    #if !defined(_WIN32)
             fprintf(stderr, "\ncould not open /dev/urandom\n");
    #endif
          }
       }
    #endif
       srand(LTM_DEMO_RAND_SEED);
    
    #ifdef MP_8BIT
       printf("Digit size 8 Bit \n");
    #endif
    #ifdef MP_16BIT
       printf("Digit size 16 Bit \n");
    #endif
    #ifdef MP_32BIT
       printf("Digit size 32 Bit \n");
    #endif
    #ifdef MP_64BIT
       printf("Digit size 64 Bit \n");
    #endif
       printf("Size of mp_digit: %u\n", (unsigned int)sizeof(mp_digit));
       printf("Size of mp_word: %u\n", (unsigned int)sizeof(mp_word));
       printf("DIGIT_BIT: %d\n", DIGIT_BIT);
       printf("MP_PREC: %d\n", MP_PREC);
    
    #if LTM_DEMO_TEST_VS_MTEST == 0
       // trivial stuff
       mp_set_int(&a, 5);
       mp_neg(&a, &b);
       if (mp_cmp(&a, &b) != MP_GT) {
          return EXIT_FAILURE;
       }
       if (mp_cmp(&b, &a) != MP_LT) {
          return EXIT_FAILURE;
       }
       mp_neg(&a, &a);
       if (mp_cmp(&b, &a) != MP_EQ) {
          return EXIT_FAILURE;
       }
       mp_abs(&a, &b);
       if (mp_isneg(&b) != MP_NO) {
          return EXIT_FAILURE;
       }
       mp_add_d(&a, 1, &b);
       mp_add_d(&a, 6, &b);
    
       // test montgomery
       printf("Testing: montgomery...\n");
       for (i = 1; i <= 10; i++) {
          if (i == 10)
             i = 1000;
          printf(" digit size: %2d\r", i);
          fflush(stdout);
          for (n = 0; n < 1000; n++) {
             mp_rand(&a, i);
             a.dp[0] |= 1;
    
             // let's see if R is right
             mp_montgomery_calc_normalization(&b, &a);
             mp_montgomery_setup(&a, &mp);
    
             // now test a random reduction
             for (ix = 0; ix < 100; ix++) {
                 mp_rand(&c, 1 + abs(rand()) % (2*i));
                 mp_copy(&c, &d);
                 mp_copy(&c, &e);
    
                 mp_mod(&d, &a, &d);
                 mp_montgomery_reduce(&c, &a, mp);
                 mp_mulmod(&c, &b, &a, &c);
    
                 if (mp_cmp(&c, &d) != MP_EQ) {
    printf("d = e mod a, c = e MOD a\n");
    mp_todecimal(&a, buf); printf("a = %s\n", buf);
    mp_todecimal(&e, buf); printf("e = %s\n", buf);
    mp_todecimal(&d, buf); printf("d = %s\n", buf);
    mp_todecimal(&c, buf); printf("c = %s\n", buf);
    printf("compare no compare!\n"); return EXIT_FAILURE; }
                 /* only one big montgomery reduction */
                 if (i > 10)
                 {
                    n = 1000;
                    ix = 100;
                 }
             }
          }
       }
    
       // test mp_get_int
       printf("\n\nTesting: mp_get_int");
       for (i = 0; i < 1000; ++i) {
          t = ((unsigned long) rand () * rand () + 1) & 0xFFFFFFFF;
          mp_set_int (&a, t);
          if (t != mp_get_int (&a)) {
             printf ("\nmp_get_int() bad result!");
             return EXIT_FAILURE;
          }
       }
       mp_set_int(&a, 0);
       if (mp_get_int(&a) != 0) {
          printf("\nmp_get_int() bad result!");
          return EXIT_FAILURE;
       }
       mp_set_int(&a, 0xffffffff);
       if (mp_get_int(&a) != 0xffffffff) {
          printf("\nmp_get_int() bad result!");
          return EXIT_FAILURE;
       }
    
       printf("\n\nTesting: mp_get_long\n");
       for (i = 0; i < (int)(sizeof(unsigned long)*CHAR_BIT) - 1; ++i) {
          t = (1ULL << (i+1)) - 1;
          if (!t)
             t = -1;
          printf(" t = 0x%lx i = %d\r", t, i);
          do {
             if (mp_set_long(&a, t) != MP_OKAY) {
                printf("\nmp_set_long() error!");
                return EXIT_FAILURE;
             }
             s = mp_get_long(&a);
             if (s != t) {
                printf("\nmp_get_long() bad result! 0x%lx != 0x%lx", s, t);
                return EXIT_FAILURE;
             }
             t <<= 1;
          } while(t);
       }
    
       printf("\n\nTesting: mp_get_long_long\n");
       for (i = 0; i < (int)(sizeof(unsigned long)*CHAR_BIT) - 1; ++i) {
          r = (1ULL << (i+1)) - 1;
          if (!r)
             r = -1;
          printf(" r = 0x%llx i = %d\r", r, i);
          do {
             if (mp_set_long_long(&a, r) != MP_OKAY) {
                printf("\nmp_set_long_long() error!");
                return EXIT_FAILURE;
             }
             q = mp_get_long_long(&a);
             if (q != r) {
                printf("\nmp_get_long_long() bad result! 0x%llx != 0x%llx", q, r);
                return EXIT_FAILURE;
             }
             r <<= 1;
          } while(r);
       }
    
       // test mp_sqrt
       printf("\n\nTesting: mp_sqrt\n");
       for (i = 0; i < 1000; ++i) {
          printf ("%6d\r", i);
          fflush (stdout);
          n = (rand () & 15) + 1;
          mp_rand (&a, n);
          if (mp_sqrt (&a, &b) != MP_OKAY) {
             printf ("\nmp_sqrt() error!");
             return EXIT_FAILURE;
          }
          mp_n_root_ex (&a, 2, &c, 0);
          mp_n_root_ex (&a, 2, &d, 1);
          if (mp_cmp_mag (&c, &d) != MP_EQ) {
             printf ("\nmp_n_root_ex() bad result!");
             return EXIT_FAILURE;
          }
          if (mp_cmp_mag (&b, &c) != MP_EQ) {
             printf ("mp_sqrt() bad result!\n");
             return EXIT_FAILURE;
          }
       }
    
       printf("\n\nTesting: mp_is_square\n");
       for (i = 0; i < 1000; ++i) {
          printf ("%6d\r", i);
          fflush (stdout);
    
          /* test mp_is_square false negatives */
          n = (rand () & 7) + 1;
          mp_rand (&a, n);
          mp_sqr (&a, &a);
          if (mp_is_square (&a, &n) != MP_OKAY) {
             printf ("\nfn:mp_is_square() error!");
             return EXIT_FAILURE;
          }
          if (n == 0) {
             printf ("\nfn:mp_is_square() bad result!");
             return EXIT_FAILURE;
          }
    
          /* test for false positives */
          mp_add_d (&a, 1, &a);
          if (mp_is_square (&a, &n) != MP_OKAY) {
             printf ("\nfp:mp_is_square() error!");
             return EXIT_FAILURE;
          }
          if (n == 1) {
             printf ("\nfp:mp_is_square() bad result!");
             return EXIT_FAILURE;
          }
    
       }
       printf("\n\n");
    
       // r^2 = n (mod p)
       for (i = 0; i < (int)(sizeof(sqrtmod_prime)/sizeof(sqrtmod_prime[0])); ++i) {
          mp_set_int(&a, sqrtmod_prime[i].p);
          mp_set_int(&b, sqrtmod_prime[i].n);
          if (mp_sqrtmod_prime(&b, &a, &c) != MP_OKAY) {
             printf("Failed executing %d. mp_sqrtmod_prime\n", (i+1));
             return EXIT_FAILURE;
          }
          if (mp_cmp_d(&c, sqrtmod_prime[i].r) != MP_EQ) {
             printf("Failed %d. trivial mp_sqrtmod_prime\n", (i+1));
             ndraw(&c, "r");
             return EXIT_FAILURE;
          }
       }
    
       /* test for size */
       for (ix = 10; ix < 128; ix++) {
          printf ("Testing (not safe-prime): %9d bits    \r", ix);
          fflush (stdout);
          err = mp_prime_random_ex (&a, 8, ix,
                                    (rand () & 1) ? 0 : LTM_PRIME_2MSB_ON, myrng,
                                    NULL);
          if (err != MP_OKAY) {
             printf ("failed with err code %d\n", err);
             return EXIT_FAILURE;
          }
          if (mp_count_bits (&a) != ix) {
             printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix);
             return EXIT_FAILURE;
          }
       }
       printf("\n");
    
       for (ix = 16; ix < 128; ix++) {
          printf ("Testing (    safe-prime): %9d bits    \r", ix);
          fflush (stdout);
          err = mp_prime_random_ex (
                &a, 8, ix, ((rand () & 1) ? 0 : LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE,
                myrng, NULL);
          if (err != MP_OKAY) {
             printf ("failed with err code %d\n", err);
             return EXIT_FAILURE;
          }
          if (mp_count_bits (&a) != ix) {
             printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix);
             return EXIT_FAILURE;
          }
          /* let's see if it's really a safe prime */
          mp_sub_d (&a, 1, &a);
          mp_div_2 (&a, &a);
          mp_prime_is_prime (&a, 8, &cnt);
          if (cnt != MP_YES) {
             printf ("sub is not prime!\n");
             return EXIT_FAILURE;
          }
       }
    
       printf("\n\n");
    
       mp_read_radix(&a, "123456", 10);
       mp_toradix_n(&a, buf, 10, 3);
       printf("a == %s\n", buf);
       mp_toradix_n(&a, buf, 10, 4);
       printf("a == %s\n", buf);
       mp_toradix_n(&a, buf, 10, 30);
       printf("a == %s\n", buf);
    
    
    #if 0
       for (;;) {
          fgets(buf, sizeof(buf), stdin);
          mp_read_radix(&a, buf, 10);
          mp_prime_next_prime(&a, 5, 1);
          mp_toradix(&a, buf, 10);
          printf("%s, %lu\n", buf, a.dp[0] & 3);
       }
    #endif
    
       /* test mp_cnt_lsb */
       printf("\n\nTesting: mp_cnt_lsb");
       mp_set(&a, 1);
       for (ix = 0; ix < 1024; ix++) {
          if (mp_cnt_lsb (&a) != ix) {
             printf ("Failed at %d, %d\n", ix, mp_cnt_lsb (&a));
             return EXIT_FAILURE;
          }
          mp_mul_2 (&a, &a);
       }
    
    /* test mp_reduce_2k */
       printf("\n\nTesting: mp_reduce_2k\n");
       for (cnt = 3; cnt <= 128; ++cnt) {
          mp_digit tmp;
    
          mp_2expt (&a, cnt);
          mp_sub_d (&a, 2, &a); /* a = 2**cnt - 2 */
    
          printf ("\r %4d bits", cnt);
          printf ("(%d)", mp_reduce_is_2k (&a));
          mp_reduce_2k_setup (&a, &tmp);
          printf ("(%lu)", (unsigned long) tmp);
          for (ix = 0; ix < 1000; ix++) {
             if (!(ix & 127)) {
                printf (".");
                fflush (stdout);
             }
             mp_rand (&b, (cnt / DIGIT_BIT + 1) * 2);
             mp_copy (&c, &b);
             mp_mod (&c, &a, &c);
             mp_reduce_2k (&b, &a, 2);
             if (mp_cmp (&c, &b)) {
                printf ("FAILED\n");
                return EXIT_FAILURE;
             }
          }
       }
    
    /* test mp_div_3  */
       printf("\n\nTesting: mp_div_3...\n");
       mp_set(&d, 3);
       for (cnt = 0; cnt < 10000;) {
          mp_digit r2;
    
          if (!(++cnt & 127))
          {
            printf("%9d\r", cnt);
            fflush(stdout);
          }
          mp_rand(&a, abs(rand()) % 128 + 1);
          mp_div(&a, &d, &b, &e);
          mp_div_3(&a, &c, &r2);
    
          if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) {
    	 printf("\nmp_div_3 => Failure\n");
          }
       }
       printf("\nPassed div_3 testing");
    
    /* test the DR reduction */
       printf("\n\nTesting: mp_dr_reduce...\n");
       for (cnt = 2; cnt < 32; cnt++) {
          printf ("\r%d digit modulus", cnt);
          mp_grow (&a, cnt);
          mp_zero (&a);
          for (ix = 1; ix < cnt; ix++) {
             a.dp[ix] = MP_MASK;
          }
          a.used = cnt;
          a.dp[0] = 3;
    
          mp_rand (&b, cnt - 1);
          mp_copy (&b, &c);
    
          rr = 0;
          do {
             if (!(rr & 127)) {
                printf (".");
                fflush (stdout);
             }
             mp_sqr (&b, &b);
             mp_add_d (&b, 1, &b);
             mp_copy (&b, &c);
    
             mp_mod (&b, &a, &b);
             mp_dr_setup(&a, &mp),
             mp_dr_reduce (&c, &a, mp);
    
             if (mp_cmp (&b, &c) != MP_EQ) {
                printf ("Failed on trial %u\n", rr);
                return EXIT_FAILURE;
             }
          } while (++rr < 500);
          printf (" passed");
          fflush (stdout);
       }
    
    #if LTM_DEMO_TEST_REDUCE_2K_L
    /* test the mp_reduce_2k_l code */
    #if LTM_DEMO_TEST_REDUCE_2K_L == 1
    /* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */
       mp_2expt(&a, 1024);
       mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16);
       mp_sub(&a, &b, &a);
    #elif LTM_DEMO_TEST_REDUCE_2K_L == 2
    /*  p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F  */
       mp_2expt(&a, 2048);
       mp_read_radix(&b,
    		 "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F",
    		 16);
       mp_sub(&a, &b, &a);
    #else
    #error oops
    #endif
    
       mp_todecimal(&a, buf);
       printf("\n\np==%s\n", buf);
    /* now mp_reduce_is_2k_l() should return */
       if (mp_reduce_is_2k_l(&a) != 1) {
          printf("mp_reduce_is_2k_l() return 0, should be 1\n");
          return EXIT_FAILURE;
       }
       mp_reduce_2k_setup_l(&a, &d);
       /* now do a million square+1 to see if it varies */
       mp_rand(&b, 64);
       mp_mod(&b, &a, &b);
       mp_copy(&b, &c);
       printf("Testing: mp_reduce_2k_l...");
       fflush(stdout);
       for (cnt = 0; cnt < (int)(1UL << 20); cnt++) {
          mp_sqr(&b, &b);
          mp_add_d(&b, 1, &b);
          mp_reduce_2k_l(&b, &a, &d);
          mp_sqr(&c, &c);
          mp_add_d(&c, 1, &c);
          mp_mod(&c, &a, &c);
          if (mp_cmp(&b, &c) != MP_EQ) {
    	 printf("mp_reduce_2k_l() failed at step %d\n", cnt);
    	 mp_tohex(&b, buf);
    	 printf("b == %s\n", buf);
    	 mp_tohex(&c, buf);
    	 printf("c == %s\n", buf);
    	 return EXIT_FAILURE;
          }
       }
       printf("...Passed\n");
    #endif /* LTM_DEMO_TEST_REDUCE_2K_L */
    
    #else
    
       div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n =
          sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n =
          sub_d_n = 0;
    
       /* force KARA and TOOM to enable despite cutoffs */
       KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 8;
       TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 16;
    
       for (;;) {
          /* randomly clear and re-init one variable, this has the affect of triming the alloc space */
          switch (abs(rand()) % 7) {
          case 0:
    	 mp_clear(&a);
    	 mp_init(&a);
    	 break;
          case 1:
    	 mp_clear(&b);
    	 mp_init(&b);
    	 break;
          case 2:
    	 mp_clear(&c);
    	 mp_init(&c);
    	 break;
          case 3:
    	 mp_clear(&d);
    	 mp_init(&d);
    	 break;
          case 4:
    	 mp_clear(&e);
    	 mp_init(&e);
    	 break;
          case 5:
    	 mp_clear(&f);
    	 mp_init(&f);
    	 break;
          case 6:
    	 break;			/* don't clear any */
          }
    
    
          printf
    	 ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ",
    	  add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n,
    	  expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n);
          ret=fgets(cmd, 4095, stdin); if(!ret){_panic(__LINE__);}
          cmd[strlen(cmd) - 1] = 0;
          printf("%-6s ]\r", cmd);
          fflush(stdout);
          if (!strcmp(cmd, "mul2d")) {
    	 ++mul2d_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 sscanf(buf, "%d", &rr);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    
    	 mp_mul_2d(&a, rr, &a);
    	 a.sign = b.sign;
    	 if (mp_cmp(&a, &b) != MP_EQ) {
    	    printf("mul2d failed, rr == %d\n", rr);
    	    draw(&a);
    	    draw(&b);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "div2d")) {
    	 ++div2d_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 sscanf(buf, "%d", &rr);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    
    	 mp_div_2d(&a, rr, &a, &e);
    	 a.sign = b.sign;
    	 if (a.used == b.used && a.used == 0) {
    	    a.sign = b.sign = MP_ZPOS;
    	 }
    	 if (mp_cmp(&a, &b) != MP_EQ) {
    	    printf("div2d failed, rr == %d\n", rr);
    	    draw(&a);
    	    draw(&b);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "add")) {
    	 ++add_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 mp_copy(&a, &d);
    	 mp_add(&d, &b, &d);
    	 if (mp_cmp(&c, &d) != MP_EQ) {
    	    printf("add %lu failure!\n", add_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
    
    	 /* test the sign/unsigned storage functions */
    
    	 rr = mp_signed_bin_size(&c);
    	 mp_to_signed_bin(&c, (unsigned char *) cmd);
    	 memset(cmd + rr, rand() & 255, sizeof(cmd) - rr);
    	 mp_read_signed_bin(&d, (unsigned char *) cmd, rr);
    	 if (mp_cmp(&c, &d) != MP_EQ) {
    	    printf("mp_signed_bin failure!\n");
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
    
    
    	 rr = mp_unsigned_bin_size(&c);
    	 mp_to_unsigned_bin(&c, (unsigned char *) cmd);
    	 memset(cmd + rr, rand() & 255, sizeof(cmd) - rr);
    	 mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr);
    	 if (mp_cmp_mag(&c, &d) != MP_EQ) {
    	    printf("mp_unsigned_bin failure!\n");
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
    
          } else if (!strcmp(cmd, "sub")) {
    	 ++sub_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 mp_copy(&a, &d);
    	 mp_sub(&d, &b, &d);
    	 if (mp_cmp(&c, &d) != MP_EQ) {
    	    printf("sub %lu failure!\n", sub_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "mul")) {
    	 ++mul_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 mp_copy(&a, &d);
    	 mp_mul(&d, &b, &d);
    	 if (mp_cmp(&c, &d) != MP_EQ) {
    	    printf("mul %lu failure!\n", mul_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "div")) {
    	 ++div_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&d, buf, 64);
    
    	 mp_div(&a, &b, &e, &f);
    	 if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) {
    	    printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e),
    		   mp_cmp(&d, &f));
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    draw(&e);
    	    draw(&f);
    	    return EXIT_FAILURE;
    	 }
    
          } else if (!strcmp(cmd, "sqr")) {
    	 ++sqr_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 mp_copy(&a, &c);
    	 mp_sqr(&c, &c);
    	 if (mp_cmp(&b, &c) != MP_EQ) {
    	    printf("sqr %lu failure!\n", sqr_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "gcd")) {
    	 ++gcd_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 mp_copy(&a, &d);
    	 mp_gcd(&d, &b, &d);
    	 d.sign = c.sign;
    	 if (mp_cmp(&c, &d) != MP_EQ) {
    	    printf("gcd %lu failure!\n", gcd_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "lcm")) {
    	 ++lcm_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 mp_copy(&a, &d);
    	 mp_lcm(&d, &b, &d);
    	 d.sign = c.sign;
    	 if (mp_cmp(&c, &d) != MP_EQ) {
    	    printf("lcm %lu failure!\n", lcm_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "expt")) {
    	 ++expt_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&d, buf, 64);
    	 mp_copy(&a, &e);
    	 mp_exptmod(&e, &b, &c, &e);
    	 if (mp_cmp(&d, &e) != MP_EQ) {
    	    printf("expt %lu failure!\n", expt_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    draw(&e);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "invmod")) {
    	 ++inv_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&c, buf, 64);
    	 mp_invmod(&a, &b, &d);
    	 mp_mulmod(&d, &a, &b, &e);
    	 if (mp_cmp_d(&e, 1) != MP_EQ) {
    	    printf("inv [wrong value from MPI?!] failure\n");
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    draw(&d);
    	    draw(&e);
    	    mp_gcd(&a, &b, &e);
    	    draw(&e);
    	    return EXIT_FAILURE;
    	 }
    
          } else if (!strcmp(cmd, "div2")) {
    	 ++div2_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 mp_div_2(&a, &c);
    	 if (mp_cmp(&c, &b) != MP_EQ) {
    	    printf("div_2 %lu failure\n", div2_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "mul2")) {
    	 ++mul2_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 mp_mul_2(&a, &c);
    	 if (mp_cmp(&c, &b) != MP_EQ) {
    	    printf("mul_2 %lu failure\n", mul2_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "add_d")) {
    	 ++add_d_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 sscanf(buf, "%d", &ix);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 mp_add_d(&a, ix, &c);
    	 if (mp_cmp(&b, &c) != MP_EQ) {
    	    printf("add_d %lu failure\n", add_d_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    printf("d == %d\n", ix);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "sub_d")) {
    	 ++sub_d_n;
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&a, buf, 64);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 sscanf(buf, "%d", &ix);
    	 ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);}
    	 mp_read_radix(&b, buf, 64);
    	 mp_sub_d(&a, ix, &c);
    	 if (mp_cmp(&b, &c) != MP_EQ) {
    	    printf("sub_d %lu failure\n", sub_d_n);
    	    draw(&a);
    	    draw(&b);
    	    draw(&c);
    	    printf("d == %d\n", ix);
    	    return EXIT_FAILURE;
    	 }
          } else if (!strcmp(cmd, "exit")) {
             printf("\nokay, exiting now\n");
             break;
          }
       }
    #endif
       return 0;
    }
    
    /* $Source$ */
    /* $Revision$ */
    /* $Date$ */