Commit ffd80665d12a492d1c72b6355b9a0332186967a2

Steffen Jaeckel 2020-01-07T18:35:50

Merge pull request #471 from libtom/prevent-overflow Prevent overflow

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diff --git a/demo/shared.c b/demo/shared.c
index 85c26ed..536a1de 100644
--- a/demo/shared.c
+++ b/demo/shared.c
@@ -45,5 +45,5 @@ void print_header(void)
    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("MP_DIGIT_BIT: %d\n", MP_DIGIT_BIT);
-   printf("MP_PREC: %d\n", MP_PREC);
+   printf("MP_DEFAULT_DIGIT_COUNT: %d\n", MP_DEFAULT_DIGIT_COUNT);
 }
diff --git a/demo/shared.h b/demo/shared.h
index 5eae973..2a1ab3c 100644
--- a/demo/shared.h
+++ b/demo/shared.h
@@ -17,8 +17,8 @@
 #include "tommath_private.h"
 
 
-#define EXPECT(a) do { if (!(a)) { fprintf(stderr, "%d: EXPECT(%s) failed\n", __LINE__, #a); goto LBL_ERR; } } while(0)
-#define DO_WHAT(a, what) do { mp_err err; if ((err = (a)) != MP_OKAY) { fprintf(stderr, "%d: DO(%s) failed: %s\n", __LINE__, #a, mp_error_to_string(err)); what; } } while(0)
+#define EXPECT(a) do { if (!(a)) { fprintf(stderr, "%s, line %d: EXPECT(%s) failed\n", __func__, __LINE__, #a); goto LBL_ERR; } } while(0)
+#define DO_WHAT(a, what) do { mp_err err; if ((err = (a)) != MP_OKAY) { fprintf(stderr, "%s, line %d: DO(%s) failed: %s\n", __func__, __LINE__, #a, mp_error_to_string(err)); what; } } while(0)
 #define DO(a) DO_WHAT(a, goto LBL_ERR)
 #define DOR(a) DO_WHAT(a, return EXIT_FAILURE)
 
diff --git a/demo/test.c b/demo/test.c
index 731c398..998f14b 100644
--- a/demo/test.c
+++ b/demo/test.c
@@ -334,10 +334,7 @@ static int test_mp_kronecker(void)
    mp_set_ul(&a, 0uL);
    mp_set_ul(&b, 1uL);
    DO(mp_kronecker(&a, &b, &i));
-   if (i != 1) {
-      printf("Failed trivial mp_kronecker(0 | 1) %d != 1\n", i);
-      goto LBL_ERR;
-   }
+   EXPECT(i == 1);
    for (cnt = 0; cnt < (int)(sizeof(kronecker)/sizeof(kronecker[0])); ++cnt) {
       k = kronecker[cnt].n;
       mp_set_l(&a, k);
@@ -345,10 +342,7 @@ static int test_mp_kronecker(void)
       for (m = -10; m <= 10; m++) {
          mp_set_l(&b, m);
          DO(mp_kronecker(&a, &b, &i));
-         if (i != kronecker[cnt].c[m + 10]) {
-            printf("Failed trivial mp_kronecker(%ld | %ld) %d != %d\n", kronecker[cnt].n, m, i, kronecker[cnt].c[m + 10]);
-            goto LBL_ERR;
-         }
+         EXPECT(i == kronecker[cnt].c[m + 10]);
       }
    }
 
@@ -374,10 +368,7 @@ static int test_mp_complement(void)
       l = ~l;
       mp_set_l(&c, l);
 
-      if (mp_cmp(&b, &c) != MP_EQ) {
-         printf("\nmp_complement() bad result!");
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&b, &c) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, NULL);
@@ -406,10 +397,7 @@ static int test_mp_signed_rsh(void)
       mp_set_l(&d, l >> em);
 
       DO(mp_signed_rsh(&a, em, &b));
-      if (mp_cmp(&b, &d) != MP_EQ) {
-         printf("\nmp_signed_rsh() bad result!");
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&b, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &d, NULL);
@@ -439,10 +427,7 @@ static int test_mp_xor(void)
       mp_set_l(&d, l ^ em);
 
       DO(mp_xor(&a, &b, &c));
-      if (mp_cmp(&c, &d) != MP_EQ) {
-         printf("\nmp_xor() bad result!");
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, &d, NULL);
@@ -472,10 +457,7 @@ static int test_mp_or(void)
       mp_set_l(&d, l | em);
 
       DO(mp_or(&a, &b, &c));
-      if (mp_cmp(&c, &d) != MP_EQ) {
-         printf("\nmp_or() bad result!");
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, &d, NULL);
@@ -504,10 +486,7 @@ static int test_mp_and(void)
       mp_set_l(&d, l & em);
 
       DO(mp_and(&a, &b, &c));
-      if (mp_cmp(&c, &d) != MP_EQ) {
-         printf("\nmp_and() bad result!");
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, &d, NULL);
@@ -528,28 +507,11 @@ static int test_mp_invmod(void)
       const char *b_ = "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF";
       const char *should_ = "0521A82E10376F8E4FDEF9A32A427AC2A0FFF686E00290D39E3E4B5522409596";
 
-      if (mp_read_radix(&a, a_, 16) != MP_OKAY) {
-         printf("\nmp_read_radix(a) failed!");
-         goto LBL_ERR;
-      }
-      if (mp_read_radix(&b, b_, 16) != MP_OKAY) {
-         printf("\nmp_read_radix(b) failed!");
-         goto LBL_ERR;
-      }
-      if (mp_read_radix(&c, should_, 16) != MP_OKAY) {
-         printf("\nmp_read_radix(should) failed!");
-         goto LBL_ERR;
-      }
-
-      if (mp_invmod(&a, &b, &d) != MP_OKAY) {
-         printf("\nmp_invmod() failed!");
-         goto LBL_ERR;
-      }
-
-      if (mp_cmp(&c, &d) != MP_EQ) {
-         printf("\nmp_invmod() bad result!");
-         goto LBL_ERR;
-      }
+      DO(mp_read_radix(&a, a_, 16));
+      DO(mp_read_radix(&b, b_, 16));
+      DO(mp_read_radix(&c, should_, 16));
+      DO(mp_invmod(&a, &b, &d));
+      EXPECT(mp_cmp(&c, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, &d, NULL);
@@ -569,42 +531,18 @@ static int test_mp_set_double(void)
    DOR(mp_init_multi(&a, &b, NULL));
 
    /* test mp_get_double/mp_set_double */
-   if (mp_set_double(&a, +1.0/0.0) != MP_VAL) {
-      printf("\nmp_set_double should return MP_VAL for +inf");
-      goto LBL_ERR;
-   }
-   if (mp_set_double(&a, -1.0/0.0) != MP_VAL) {
-      printf("\nmp_set_double should return MP_VAL for -inf");
-      goto LBL_ERR;
-   }
-   if (mp_set_double(&a, +0.0/0.0) != MP_VAL) {
-      printf("\nmp_set_double should return MP_VAL for NaN");
-      goto LBL_ERR;
-   }
-   if (mp_set_double(&a, -0.0/0.0) != MP_VAL) {
-      printf("\nmp_set_double should return MP_VAL for NaN");
-      goto LBL_ERR;
-   }
+   EXPECT(mp_set_double(&a, +1.0/0.0) == MP_VAL);
+   EXPECT(mp_set_double(&a, -1.0/0.0) == MP_VAL);
+   EXPECT(mp_set_double(&a, +0.0/0.0) == MP_VAL);
+   EXPECT(mp_set_double(&a, -0.0/0.0) == MP_VAL);
 
    for (i = 0; i < 1000; ++i) {
       int tmp = rand_int();
       double dbl = (double)tmp * rand_int() + 1;
-      if (mp_set_double(&a, dbl) != MP_OKAY) {
-         printf("\nmp_set_double() failed");
-         goto LBL_ERR;
-      }
-      if (dbl != mp_get_double(&a)) {
-         printf("\nmp_get_double() bad result!");
-         goto LBL_ERR;
-      }
-      if (mp_set_double(&a, -dbl) != MP_OKAY) {
-         printf("\nmp_set_double() failed");
-         goto LBL_ERR;
-      }
-      if (-dbl != mp_get_double(&a)) {
-         printf("\nmp_get_double() bad result!");
-         goto LBL_ERR;
-      }
+      DO(mp_set_double(&a, dbl));
+      EXPECT(dbl == mp_get_double(&a));
+      DO(mp_set_double(&a, -dbl));
+      EXPECT(-dbl == mp_get_double(&a));
    }
 
    mp_clear_multi(&a, &b, NULL);
@@ -627,21 +565,12 @@ static int test_mp_get_u32(void)
    for (i = 0; i < 1000; ++i) {
       t = (uint32_t)rand_long();
       mp_set_ul(&a, t);
-      if (t != mp_get_u32(&a)) {
-         printf("\nmp_get_u32() bad result!");
-         goto LBL_ERR;
-      }
+      EXPECT(t == mp_get_u32(&a));
    }
    mp_set_ul(&a, 0uL);
-   if (mp_get_u32(&a) != 0) {
-      printf("\nmp_get_u32() bad result!");
-      goto LBL_ERR;
-   }
+   EXPECT(mp_get_u32(&a) == 0);
    mp_set_ul(&a, UINT32_MAX);
-   if (mp_get_u32(&a) != UINT32_MAX) {
-      printf("\nmp_get_u32() bad result!");
-      goto LBL_ERR;
-   }
+   EXPECT(mp_get_u32(&a) == UINT32_MAX);
 
    mp_clear_multi(&a, &b, NULL);
    return EXIT_SUCCESS;
@@ -666,10 +595,7 @@ static int test_mp_get_ul(void)
       do {
          mp_set_ul(&a, t);
          s = mp_get_ul(&a);
-         if (s != t) {
-            printf("\nmp_get_ul() bad result! 0x%lx != 0x%lx", s, t);
-            goto LBL_ERR;
-         }
+         EXPECT(s == t);
          t <<= 1;
       } while (t != 0uL);
    }
@@ -697,10 +623,7 @@ static int test_mp_get_u64(void)
       do {
          mp_set_u64(&a, r);
          q = mp_get_u64(&a);
-         if (q != r) {
-            printf("\nmp_get_u64() bad result! 0x%" PRIx64 " != 0x%" PRIx64, q, r);
-            goto LBL_ERR;
-         }
+         EXPECT(q == r);
          r <<= 1;
       } while (r != 0u);
    }
@@ -725,15 +648,9 @@ static int test_mp_sqrt(void)
       fflush(stdout);
       n = (rand_int() & 15) + 1;
       DO(mp_rand(&a, n));
-      if (mp_sqrt(&a, &b) != MP_OKAY) {
-         printf("\nmp_sqrt() error!");
-         goto LBL_ERR;
-      }
+      DO(mp_sqrt(&a, &b));
       DO(mp_root_n(&a, 2, &c));
-      if (mp_cmp_mag(&b, &c) != MP_EQ) {
-         printf("mp_sqrt() bad result!\n");
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp_mag(&b, &c) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, NULL);
@@ -760,26 +677,13 @@ static int test_mp_is_square(void)
       n = (rand_int() & 7) + 1;
       DO(mp_rand(&a, n));
       DO(mp_sqr(&a, &a));
-      if (mp_is_square(&a, &res) != MP_OKAY) {
-         printf("\nfn:mp_is_square() error!");
-         goto LBL_ERR;
-      }
-      if (!res) {
-         printf("\nfn:mp_is_square() bad result!");
-         goto LBL_ERR;
-      }
+      DO(mp_is_square(&a, &res));
+      EXPECT(res);
 
       /* test for false positives */
       DO(mp_add_d(&a, 1u, &a));
-      if (mp_is_square(&a, &res) != MP_OKAY) {
-         printf("\nfp:mp_is_square() error!");
-         goto LBL_ERR;
-      }
-      if (res) {
-         printf("\nfp:mp_is_square() bad result!");
-         goto LBL_ERR;
-      }
-
+      DO(mp_is_square(&a, &res));
+      EXPECT(!res);
    }
 
    mp_clear_multi(&a, &b, NULL);
@@ -811,15 +715,8 @@ static int test_mp_sqrtmod_prime(void)
    for (i = 0; i < (int)(sizeof(sqrtmod_prime)/sizeof(sqrtmod_prime[0])); ++i) {
       mp_set_ul(&a, sqrtmod_prime[i].p);
       mp_set_ul(&b, sqrtmod_prime[i].n);
-      if (mp_sqrtmod_prime(&b, &a, &c) != MP_OKAY) {
-         printf("Failed executing %d. mp_sqrtmod_prime\n", (i+1));
-         goto LBL_ERR;
-      }
-      if (mp_cmp_d(&c, sqrtmod_prime[i].r) != MP_EQ) {
-         printf("Failed %d. trivial mp_sqrtmod_prime\n", (i+1));
-         ndraw(&c, "r");
-         goto LBL_ERR;
-      }
+      DO(mp_sqrtmod_prime(&b, &a, &c));
+      EXPECT(mp_cmp_d(&c, sqrtmod_prime[i].r) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, NULL);
@@ -832,23 +729,15 @@ LBL_ERR:
 static int test_mp_prime_rand(void)
 {
    int ix;
-   mp_err e;
    mp_int a, b;
    DOR(mp_init_multi(&a, &b, NULL));
 
    /* test for size */
    for (ix = 10; ix < 128; ix++) {
-      printf("Testing (not safe-prime): %9d bits    \r", ix);
+      printf("Testing (not safe-prime): %9d bits    \n", ix);
       fflush(stdout);
-      e = mp_prime_rand(&a, 8, ix, (rand_int() & 1) ? 0 : MP_PRIME_2MSB_ON);
-      if (e != MP_OKAY) {
-         printf("\nfailed with error: %s\n", mp_error_to_string(e));
-         goto LBL_ERR;
-      }
-      if (mp_count_bits(&a) != ix) {
-         printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix);
-         goto LBL_ERR;
-      }
+      DO(mp_prime_rand(&a, 8, ix, (rand_int() & 1) ? 0 : MP_PRIME_2MSB_ON));
+      EXPECT(mp_count_bits(&a) == ix);
    }
 
    mp_clear_multi(&a, &b, NULL);
@@ -902,31 +791,16 @@ static int test_mp_prime_is_prime(void)
    for (ix = 16; ix < 128; ix++) {
       printf("\rTesting (    safe-prime): %9d bits    ", ix);
       fflush(stdout);
-      e = mp_prime_rand(&a, 8, ix, ((rand_int() & 1) ? 0 : MP_PRIME_2MSB_ON) | MP_PRIME_SAFE);
-      if (e != MP_OKAY) {
-         printf("\nfailed with error: %s\n", mp_error_to_string(e));
-         goto LBL_ERR;
-      }
-      if (mp_count_bits(&a) != ix) {
-         printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix);
-         goto LBL_ERR;
-      }
+      DO(mp_prime_rand(&a, 8, ix, ((rand_int() & 1) ? 0 : MP_PRIME_2MSB_ON) | MP_PRIME_SAFE));
+      EXPECT(mp_count_bits(&a) == ix);
       /* let's see if it's really a safe prime */
       DO(mp_sub_d(&a, 1u, &b));
       DO(mp_div_2(&b, &b));
-      e = mp_prime_is_prime(&b, mp_prime_rabin_miller_trials(mp_count_bits(&b)), &cnt);
-      /* small problem */
-      if (e != MP_OKAY) {
-         printf("\nfailed with error: %s\n", mp_error_to_string(e));
-      }
+      DO(mp_prime_is_prime(&b, mp_prime_rabin_miller_trials(mp_count_bits(&b)), &cnt));
       /* large problem */
-      if (!cnt) {
-         printf("\nsub is not prime!\n");
-      }
+      EXPECT(cnt);
       DO(mp_prime_frobenius_underwood(&b, &fu));
-      if (!fu) {
-         printf("\nfrobenius-underwood says sub is not prime!\n");
-      }
+      EXPECT(fu);
       if ((e != MP_OKAY) || !cnt) {
          printf("prime tested was: 0x");
          DO(mp_fwrite(&a,16,stdout));
@@ -942,15 +816,9 @@ static int test_mp_prime_is_prime(void)
    DO(mp_read_radix(&a,
                     "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF",
                     16));
-   e = mp_prime_strong_lucas_selfridge(&a, &cnt);
-   /* small problem */
-   if (e != MP_OKAY) {
-      printf("\nmp_prime_strong_lucas_selfridge failed with error: %s\n", mp_error_to_string(e));
-   }
+   DO(mp_prime_strong_lucas_selfridge(&a, &cnt));
    /* large problem */
-   if (!cnt) {
-      printf("\n\nissue #143 - mp_prime_strong_lucas_selfridge FAILED!\n");
-   }
+   EXPECT(cnt);
    if ((e != MP_OKAY) || !cnt) {
       printf("prime tested was: 0x");
       DO(mp_fwrite(&a,16,stdout));
@@ -1185,10 +1053,7 @@ static int test_mp_cnt_lsb(void)
 
    mp_set(&a, 1u);
    for (ix = 0; ix < 1024; ix++) {
-      if (mp_cnt_lsb(&a) != ix) {
-         printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a));
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cnt_lsb(&a) == ix);
       DO(mp_mul_2(&a, &a));
    }
 
@@ -1227,10 +1092,7 @@ static int test_mp_reduce_2k(void)
          DO(mp_copy(&c, &b));
          DO(mp_mod(&c, &a, &c));
          DO(mp_reduce_2k(&b, &a, 2u));
-         if (mp_cmp(&c, &b) != MP_EQ) {
-            printf("FAILED\n");
-            goto LBL_ERR;
-         }
+         EXPECT(mp_cmp(&c, &b) == MP_EQ);
       }
    }
 
@@ -1261,10 +1123,7 @@ static int test_s_mp_div_3(void)
       DO(mp_div(&a, &d, &b, &e));
       DO(s_mp_div_3(&a, &c, &r2));
 
-      if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) {
-         printf("\ns_mp_div_3 => Failure\n");
-         goto LBL_ERR;
-      }
+      EXPECT(!mp_cmp(&b, &c) && !mp_cmp_d(&e, r2));
    }
    printf("... passed!");
 
@@ -1313,10 +1172,7 @@ static int test_mp_dr_reduce(void)
          mp_dr_setup(&a, &mp);
          DO(mp_dr_reduce(&c, &a, mp));
 
-         if (mp_cmp(&b, &c) != MP_EQ) {
-            printf("Failed on trial %u\n", rr);
-            goto LBL_ERR;
-         }
+         EXPECT(mp_cmp(&b, &c) == MP_EQ);
       } while (++rr < 500);
       printf(" passed");
       fflush(stdout);
@@ -1356,10 +1212,7 @@ static int test_mp_reduce_2k_l(void)
    DO(mp_to_radix(&a, buf, sizeof(buf), &length, 10));
    printf("\n\np==%s, length = %zu\n", buf, length);
    /* 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");
-      goto LBL_ERR;
-   }
+   EXPECT(mp_reduce_is_2k_l(&a) == 1);
    DO(mp_reduce_2k_setup_l(&a, &d));
    /* now do a million square+1 to see if it varies */
    DO(mp_rand(&b, 64));
@@ -1395,7 +1248,6 @@ LBL_ERR:
 }
 /* stripped down version of mp_radix_size. The faster version can be off by up t
 o +3  */
-/* TODO: This function should be removed, replaced by mp_radix_size, mp_radix_size_overestimate in 2.0 */
 static mp_err s_rs(const mp_int *a, int radix, int *size)
 {
    mp_err res;
@@ -1440,13 +1292,9 @@ static int test_mp_log_n(void)
    */
    mp_set(&a, 42u);
    base = 0u;
-   if (mp_log_n(&a, base, &lb) != MP_VAL) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_log_n(&a, base, &lb) == MP_VAL);
    base = 1u;
-   if (mp_log_n(&a, base, &lb) != MP_VAL) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_log_n(&a, base, &lb) == MP_VAL);
    /*
      base   a    result
       2     0    MP_VAL
@@ -1456,16 +1304,12 @@ static int test_mp_log_n(void)
    */
    base = 2u;
    mp_zero(&a);
-   if (mp_log_n(&a, base, &lb) != MP_VAL) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_log_n(&a, base, &lb) == MP_VAL);
 
    for (d = 1; d < 4; d++) {
       mp_set(&a, d);
       DO(mp_log_n(&a, base, &lb));
-      if (lb != ((d == 1)?0:1)) {
-         goto LBL_ERR;
-      }
+      EXPECT(lb == ((d == 1)?0:1));
    }
    /*
     base   a    result
@@ -1476,15 +1320,11 @@ static int test_mp_log_n(void)
    */
    base = 3u;
    mp_zero(&a);
-   if (mp_log_n(&a, base, &lb) != MP_VAL) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_log_n(&a, base, &lb) == MP_VAL);
    for (d = 1; d < 4; d++) {
       mp_set(&a, d);
       DO(mp_log_n(&a, base, &lb));
-      if (lb != (((int)d < base)?0:1)) {
-         goto LBL_ERR;
-      }
+      EXPECT(lb == (((int)d < base)?0:1));
    }
 
    /*
@@ -1498,9 +1338,7 @@ static int test_mp_log_n(void)
       DO(s_rs(&a,(int)base, &size));
       /* radix_size includes the memory needed for '\0', too*/
       size -= 2;
-      if (lb != size) {
-         goto LBL_ERR;
-      }
+      EXPECT(lb == size);
    }
 
    /*
@@ -1512,9 +1350,7 @@ static int test_mp_log_n(void)
       DO(mp_log_n(&a, base, &lb));
       DO(s_rs(&a,(int)base, &size));
       size -= 2;
-      if (lb != size) {
-         goto LBL_ERR;
-      }
+      EXPECT(lb == size);
    }
 
    /*Test upper edgecase with base UINT32_MAX and number (UINT32_MAX/2)*UINT32_MAX^10  */
@@ -1522,9 +1358,7 @@ static int test_mp_log_n(void)
    DO(mp_expt_n(&a, 10uL, &a));
    DO(mp_add_d(&a, max_base / 2, &a));
    DO(mp_log_n(&a, max_base, &lb));
-   if (lb != 10u) {
-      goto LBL_ERR;
-   }
+   EXPECT(lb == 10u);
 
    mp_clear(&a);
    return EXIT_SUCCESS;
@@ -1542,39 +1376,30 @@ static int test_mp_incr(void)
    /* Does it increment inside the limits of a MP_xBIT limb? */
    mp_set(&a, MP_MASK/2);
    DO(mp_incr(&a));
-   if (mp_cmp_d(&a, (MP_MASK/2u) + 1u) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp_d(&a, (MP_MASK/2u) + 1u) == MP_EQ);
 
    /* Does it increment outside of the limits of a MP_xBIT limb? */
    mp_set(&a, MP_MASK);
    mp_set(&b, MP_MASK);
    DO(mp_incr(&a));
    DO(mp_add_d(&b, 1u, &b));
-   if (mp_cmp(&a, &b) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp(&a, &b) == MP_EQ);
 
    /* Does it increment from -1 to 0? */
    mp_set(&a, 1u);
    a.sign = MP_NEG;
    DO(mp_incr(&a));
-   if (mp_cmp_d(&a, 0u) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp_d(&a, 0u) == MP_EQ);
 
    /* Does it increment from -(MP_MASK + 1) to -MP_MASK? */
    mp_set(&a, MP_MASK);
    DO(mp_add_d(&a, 1u, &a));
    a.sign = MP_NEG;
    DO(mp_incr(&a));
-   if (a.sign != MP_NEG) {
-      goto LBL_ERR;
-   }
+   EXPECT(a.sign == MP_NEG);
+
    a.sign = MP_ZPOS;
-   if (mp_cmp_d(&a, MP_MASK) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp_d(&a, MP_MASK) == MP_EQ);
 
    mp_clear_multi(&a, &b, NULL);
    return EXIT_SUCCESS;
@@ -1592,26 +1417,20 @@ static int test_mp_decr(void)
    /* Does it decrement inside the limits of a MP_xBIT limb? */
    mp_set(&a, MP_MASK/2);
    DO(mp_decr(&a));
-   if (mp_cmp_d(&a, (MP_MASK/2u) - 1u) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp_d(&a, (MP_MASK/2u) - 1u) == MP_EQ);
 
    /* Does it decrement outside of the limits of a MP_xBIT limb? */
    mp_set(&a, MP_MASK);
    DO(mp_add_d(&a, 1u, &a));
    DO(mp_decr(&a));
-   if (mp_cmp_d(&a, MP_MASK) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp_d(&a, MP_MASK) == MP_EQ);
 
    /* Does it decrement from 0 to -1? */
    mp_zero(&a);
    DO(mp_decr(&a));
    if (a.sign == MP_NEG) {
       a.sign = MP_ZPOS;
-      if (mp_cmp_d(&a, 1u) != MP_EQ) {
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp_d(&a, 1u) == MP_EQ);
    } else {
       goto LBL_ERR;
    }
@@ -1624,9 +1443,7 @@ static int test_mp_decr(void)
    b.sign = MP_NEG;
    DO(mp_sub_d(&b, 1u, &b));
    DO(mp_decr(&a));
-   if (mp_cmp(&a, &b) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp(&a, &b) == MP_EQ);
 
    mp_clear_multi(&a, &b, NULL);
    return EXIT_SUCCESS;
@@ -1852,10 +1669,7 @@ static int test_mp_root_n(void)
       for (j = 3; j < 100; j++) {
          DO(mp_root_n(&a, j, &c));
          DO(mp_read_radix(&r, root[i][j-3], 10));
-         if (mp_cmp(&r, &c) != MP_EQ) {
-            fprintf(stderr, "mp_root_n failed at input #%d, root #%d\n", i, j);
-            goto LBL_ERR;
-         }
+         EXPECT(mp_cmp(&r, &c) == MP_EQ);
       }
    }
    mp_clear_multi(&a, &c, &r, NULL);
@@ -1884,9 +1698,7 @@ static int test_s_mp_mul_balance(void)
 
    DO(mp_read_radix(&b, nc, 64));
 
-   if (mp_cmp(&b, &c) != MP_EQ) {
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp(&b, &c) == MP_EQ);
 
    mp_clear_multi(&a, &b, &c, NULL);
    return EXIT_SUCCESS;
@@ -1907,10 +1719,7 @@ static int test_s_mp_mul_karatsuba(void)
       DO(mp_rand(&b, size));
       DO(s_mp_mul_karatsuba(&a, &b, &c));
       DO(s_mp_mul_full(&a,&b,&d));
-      if (mp_cmp(&c, &d) != MP_EQ) {
-         fprintf(stderr, "Karatsuba multiplication failed at size %d\n", size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, &d, NULL);
@@ -1930,10 +1739,7 @@ static int test_s_mp_sqr_karatsuba(void)
       DO(mp_rand(&a, size));
       DO(s_mp_sqr_karatsuba(&a, &b));
       DO(s_mp_sqr(&a, &c));
-      if (mp_cmp(&b, &c) != MP_EQ) {
-         fprintf(stderr, "Karatsuba squaring failed at size %d\n", size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&b, &c) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, NULL);
@@ -1969,10 +1775,7 @@ static int test_s_mp_mul_toom(void)
    DO(mp_mul(&a, &b, &c));
    MP_MUL_TOOM_CUTOFF = tc_cutoff;
    DO(mp_mul(&a, &b, &d));
-   if (mp_cmp(&c, &d) != MP_EQ) {
-      fprintf(stderr, "Toom-Cook 3-way multiplication failed for edgecase f1 * f2\n");
-      goto LBL_ERR;
-   }
+   EXPECT(mp_cmp(&c, &d) == MP_EQ);
 #endif
 
    for (size = MP_MUL_TOOM_CUTOFF; size < (MP_MUL_TOOM_CUTOFF + 20); size++) {
@@ -1980,10 +1783,7 @@ static int test_s_mp_mul_toom(void)
       DO(mp_rand(&b, size));
       DO(s_mp_mul_toom(&a, &b, &c));
       DO(s_mp_mul_full(&a,&b,&d));
-      if (mp_cmp(&c, &d) != MP_EQ) {
-         fprintf(stderr, "Toom-Cook 3-way multiplication failed at size %d\n", size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c, &d) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, &d, NULL);
@@ -2003,10 +1803,7 @@ static int test_s_mp_sqr_toom(void)
       DO(mp_rand(&a, size));
       DO(s_mp_sqr_toom(&a, &b));
       DO(s_mp_sqr(&a, &c));
-      if (mp_cmp(&b, &c) != MP_EQ) {
-         fprintf(stderr, "Toom-Cook 3-way squaring failed at size %d\n", size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&b, &c) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c, NULL);
@@ -2043,18 +1840,10 @@ static int test_mp_radix_size(void)
 
    for (radix = 2; radix < 65; radix++) {
       DO(mp_radix_size(&a, radix, &size));
-      if (size != results[radix]) {
-         fprintf(stderr, "mp_radix_size: result for base %d was %zu instead of %zu\n",
-                 radix, size, results[radix]);
-         goto LBL_ERR;
-      }
+      EXPECT(size == results[radix]);
       a.sign = MP_NEG;
       DO(mp_radix_size(&a, radix, &size));
-      if (size != (results[radix] + 1)) {
-         fprintf(stderr, "mp_radix_size: result for base %d was %zu instead of %zu\n",
-                 radix, size, results[radix]);
-         goto LBL_ERR;
-      }
+      EXPECT(size == (results[radix] + 1));
       a.sign = MP_ZPOS;
    }
 
@@ -2082,16 +1871,8 @@ static int test_s_mp_div_recursive(void)
       DO(mp_rand(&b, size));
       DO(s_mp_div_recursive(&a, &b, &c_q, &c_r));
       DO(s_mp_div_school(&a, &b, &d_q, &d_r));
-      if (mp_cmp(&c_q, &d_q) != MP_EQ) {
-         fprintf(stderr, "1a. Recursive division failed at sizes %d / %d, wrong quotient\n",
-                 10 * size, size);
-         goto LBL_ERR;
-      }
-      if (mp_cmp(&c_r, &d_r) != MP_EQ) {
-         fprintf(stderr, "1a. Recursive division failed at sizes %d / %d, wrong remainder\n",
-                 10 * size, size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c_q, &d_q) == MP_EQ);
+      EXPECT(mp_cmp(&c_r, &d_r) == MP_EQ);
       printf("\rsizes = %d / %d", 2 * size, size);
 
       /* Relation 10:1 negative numerator*/
@@ -2100,16 +1881,8 @@ static int test_s_mp_div_recursive(void)
       DO(mp_rand(&b, size));
       DO(s_mp_div_recursive(&a, &b, &c_q, &c_r));
       DO(s_mp_div_school(&a, &b, &d_q, &d_r));
-      if (mp_cmp(&c_q, &d_q) != MP_EQ) {
-         fprintf(stderr, "1b. Recursive division failed at sizes %d / %d, wrong quotient\n",
-                 10 * size, size);
-         goto LBL_ERR;
-      }
-      if (mp_cmp(&c_r, &d_r) != MP_EQ) {
-         fprintf(stderr, "1b. Recursive division failed at sizes %d / %d, wrong remainder\n",
-                 10 * size, size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c_q, &d_q) == MP_EQ);
+      EXPECT(mp_cmp(&c_r, &d_r) == MP_EQ);
       printf("\rsizes = %d / %d, negative numerator", 2 * size, size);
 
       /* Relation 10:1 negative denominator*/
@@ -2118,16 +1891,8 @@ static int test_s_mp_div_recursive(void)
       DO(mp_neg(&b, &b));
       DO(s_mp_div_recursive(&a, &b, &c_q, &c_r));
       DO(s_mp_div_school(&a, &b, &d_q, &d_r));
-      if (mp_cmp(&c_q, &d_q) != MP_EQ) {
-         fprintf(stderr, "1c. Recursive division failed at sizes %d / %d, wrong quotient\n",
-                 10 * size, size);
-         goto LBL_ERR;
-      }
-      if (mp_cmp(&c_r, &d_r) != MP_EQ) {
-         fprintf(stderr, "1c. Recursive division failed at sizes %d / %d, wrong remainder\n",
-                 10 * size, size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c_q, &d_q) == MP_EQ);
+      EXPECT(mp_cmp(&c_r, &d_r) == MP_EQ);
       printf("\rsizes = %d / %d, negative denominator", 2 * size, size);
 
       /* Relation 2:1 */
@@ -2135,32 +1900,16 @@ static int test_s_mp_div_recursive(void)
       DO(mp_rand(&b, size));
       DO(s_mp_div_recursive(&a, &b, &c_q, &c_r));
       DO(s_mp_div_school(&a, &b, &d_q, &d_r));
-      if (mp_cmp(&c_q, &d_q) != MP_EQ) {
-         fprintf(stderr, "2. Recursive division failed at sizes %d / %d, wrong quotient\n",
-                 2 * size, size);
-         goto LBL_ERR;
-      }
-      if (mp_cmp(&c_r, &d_r) != MP_EQ) {
-         fprintf(stderr, "2. Recursive division failed at sizes %d / %d, wrong remainder\n",
-                 2 * size, size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c_q, &d_q) == MP_EQ);
+      EXPECT(mp_cmp(&c_r, &d_r) == MP_EQ);
       printf("\rsizes = %d / %d", 3 * size, 2 * size);
       /* Upper limit 3:2 */
       DO(mp_rand(&a, 3 * size));
       DO(mp_rand(&b, 2 * size));
       DO(s_mp_div_recursive(&a, &b, &c_q, &c_r));
       DO(s_mp_div_school(&a, &b, &d_q, &d_r));
-      if (mp_cmp(&c_q, &d_q) != MP_EQ) {
-         fprintf(stderr, "3. Recursive division failed at sizes %d / %d, wrong quotient\n",
-                 3 * size, 2 * size);
-         goto LBL_ERR;
-      }
-      if (mp_cmp(&c_r, &d_r) != MP_EQ) {
-         fprintf(stderr, "3. Recursive division failed at sizes %d / %d, wrong remainder\n",
-                 3 * size, 2 * size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c_q, &d_q) == MP_EQ);
+      EXPECT(mp_cmp(&c_r, &d_r) == MP_EQ);
    }
 
    mp_clear_multi(&a, &b, &c_q, &c_r, &d_q, &d_r, NULL);
@@ -2183,16 +1932,8 @@ static int test_s_mp_div_small(void)
       DO(mp_rand(&b, size));
       DO(s_mp_div_small(&a, &b, &c_q, &c_r));
       DO(s_mp_div_school(&a, &b, &d_q, &d_r));
-      if (mp_cmp(&c_q, &d_q) != MP_EQ) {
-         fprintf(stderr, "1. Small division failed at sizes %d / %d, wrong quotient\n",
-                 2 * size, size);
-         goto LBL_ERR;
-      }
-      if (mp_cmp(&c_r, &d_r) != MP_EQ) {
-         fprintf(stderr, "1. Small division failed at sizes %d / %d, wrong remainder\n",
-                 2 * size, size);
-         goto LBL_ERR;
-      }
+      EXPECT(mp_cmp(&c_q, &d_q) == MP_EQ);
+      EXPECT(mp_cmp(&c_r, &d_r) == MP_EQ);
    }
    mp_clear_multi(&a, &b, &c_q, &c_r, &d_q, &d_r, NULL);
    return EXIT_SUCCESS;
@@ -2205,10 +1946,9 @@ LBL_ERR:
 static int test_s_mp_radix_size_overestimate(void)
 {
 
-   mp_err err;
    mp_int a;
-   int radix;
-   size_t size;
+   int radix, n;
+   size_t size, size2;
 /* *INDENT-OFF* */
    size_t results[65] = {
        0u,  0u,  1627u, 1027u, 814u, 702u, 630u, 581u, 543u,
@@ -2220,78 +1960,43 @@ static int test_s_mp_radix_size_overestimate(void)
        284u, 283u, 281u, 280u, 279u, 278u, 277u, 276u, 275u,
        273u, 272u
    };
-   size_t big_results[65] = {
-              0u,         0u,         0u,  1354911329u, 1073741825u,
-      924870867u, 830760078u, 764949110u,   715827883u,  677455665u,
-      646456994u, 620761988u, 599025415u,   580332018u,  564035582u,
-      549665673u, 536870913u, 525383039u,   514993351u,  505536793u,
-      496880930u, 488918137u, 481559946u,   474732892u,  468375401u,
-      462435434u, 456868672u, 451637110u,   446707948u,  442052707u,
-      437646532u, 433467613u, 429496730u,   425716865u,  422112892u,
-      418671312u, 415380039u, 412228213u,   409206043u,  406304679u,
-      403516096u, 400833001u, 398248746u,   395757256u,  393352972u,
-      391030789u, 388786017u, 386614331u,   384511740u,  382474555u,
-      380499357u, 378582973u, 376722456u,   374915062u,  373158233u,
-      371449582u, 369786879u, 368168034u,   366591092u,  365054217u,
-      363555684u, 362093873u, 360667257u,   359274399u,  357913942
-   };
-
 /* *INDENT-ON* */
-   if ((err = mp_init(&a)) != MP_OKAY)        goto LBL_ERR;
+
+   DO(mp_init(&a));
 
    /* number to result in a different size for every base: 67^(4 * 67) */
    mp_set(&a, 67);
-   if ((err = mp_expt_n(&a, 268, &a)) != MP_OKAY) {
-      goto LBL_ERR;
-   }
+   DO(mp_expt_n(&a, 268, &a));
 
    for (radix = 2; radix < 65; radix++) {
-      if ((err = s_mp_radix_size_overestimate(&a, radix, &size)) != MP_OKAY) {
-         goto LBL_ERR;
-      }
-      if (size < results[radix]) {
-         fprintf(stderr, "s_mp_radix_size_overestimate: result for base %d was %zu instead of %zu\n",
-                 radix, size, results[radix]);
-         goto LBL_ERR;
-      }
+      DO(s_mp_radix_size_overestimate(&a, radix, &size));
+      EXPECT(size >= results[radix]);
+      EXPECT(size < results[radix] + 20); /* some error bound */
       a.sign = MP_NEG;
-      if ((err = s_mp_radix_size_overestimate(&a, radix, &size)) != MP_OKAY) {
-         goto LBL_ERR;
-      }
-      if (size < results[radix]) {
-         fprintf(stderr, "s_mp_radix_size_overestimate: result for base %d was %zu instead of %zu\n",
-                 radix, size, results[radix]);
-         goto LBL_ERR;
-      }
+      DO(s_mp_radix_size_overestimate(&a, radix, &size));
+      EXPECT(size >= results[radix]);
+      EXPECT(size < results[radix] + 20); /* some error bound */
       a.sign = MP_ZPOS;
    }
-   if ((err = mp_2expt(&a, INT_MAX - 1)) != MP_OKAY) {
-      goto LBL_ERR;
-   }
-   printf("bitcount = %d, alloc = %d\n", mp_count_bits(&a), a.alloc);
-   /* Start at 3 to avoid integer overflow */
-   for (radix = 3; radix < 65; radix++) {
-      printf("radix = %d, ",radix);
-      if ((err = s_mp_radix_size_overestimate(&a, radix, &size)) != MP_OKAY) {
-         goto LBL_ERR;
-      }
-      printf("size = %zu, diff = %zu\n", size, size - big_results[radix]);
-      if (size < big_results[radix]) {
-         fprintf(stderr, "s_mp_radix_size_overestimate: result for base %d was %zu instead of %zu\n",
-                 radix, size, results[radix]);
-         goto LBL_ERR;
-      }
-      a.sign = MP_NEG;
-      if ((err = s_mp_radix_size_overestimate(&a, radix, &size)) != MP_OKAY) {
-         goto LBL_ERR;
-      }
-      if (size < big_results[radix]) {
-         fprintf(stderr, "s_mp_radix_size_overestimate: result for base %d was %zu instead of %zu\n",
-                 radix, size, results[radix]);
-         goto LBL_ERR;
+
+   /* randomized test */
+   for (n = 1; n < 1024; n += 1234) {
+      DO(mp_rand(&a, n));
+
+      for (radix = 2; radix < 65; radix++) {
+         DO(s_mp_radix_size_overestimate(&a, radix, &size));
+         DO(mp_radix_size(&a, radix, &size2));
+         EXPECT(size >= size2);
+         EXPECT(size < size2 + 20); /* some error bound */
+         a.sign = MP_NEG;
+         DO(s_mp_radix_size_overestimate(&a, radix, &size));
+         DO(mp_radix_size(&a, radix, &size2));
+         EXPECT(size >= size2);
+         EXPECT(size < size2 + 20); /* some error bound */
+         a.sign = MP_ZPOS;
       }
-      a.sign = MP_ZPOS;
    }
+
    mp_clear(&a);
    return EXIT_SUCCESS;
 LBL_ERR:
diff --git a/makefile b/makefile
index 1cd5778..b24fe85 100644
--- a/makefile
+++ b/makefile
@@ -172,6 +172,7 @@ c89:
 	-e 's/\(PRI[iux]64\)/MP_\1/g' \
 	-e 's/uint\([0-9][0-9]*\)_t/mp_u\1/g' \
 	-e 's/int\([0-9][0-9]*\)_t/mp_i\1/g' \
+	-e 's/__func__/MP_FUNCTION_NAME/g' \
 	*.c tommath.h tommath_private.h demo/*.c demo/*.h etc/*.c
 
 c99:
@@ -194,6 +195,7 @@ c99:
 	-e 's/MP_\(PRI[iux]64\)/\1/g' \
 	-e 's/mp_u\([0-9][0-9]*\)/uint\1_t/g' \
 	-e 's/mp_i\([0-9][0-9]*\)/int\1_t/g' \
+	-e 's/MP_FUNCTION_NAME/__func__/g' \
 	*.c tommath.h tommath_private.h demo/*.c demo/*.h etc/*.c
 
 astyle:
diff --git a/mp_error_to_string.c b/mp_error_to_string.c
index 1b34d02..39adcd1 100644
--- a/mp_error_to_string.c
+++ b/mp_error_to_string.c
@@ -19,6 +19,8 @@ const char *mp_error_to_string(mp_err code)
       return "Max. iterations reached";
    case MP_BUF:
       return "Buffer overflow";
+   case MP_OVF:
+      return "Integer overflow";
    default:
       return "Invalid error code";
    }
diff --git a/mp_grow.c b/mp_grow.c
index 0de6679..5bca1b5 100644
--- a/mp_grow.c
+++ b/mp_grow.c
@@ -8,15 +8,21 @@ mp_err mp_grow(mp_int *a, int size)
 {
    /* if the alloc size is smaller alloc more ram */
    if (a->alloc < size) {
+      mp_digit *dp;
+
+      if (size > MP_MAX_DIGIT_COUNT) {
+         return MP_OVF;
+      }
+
       /* reallocate the array a->dp
        *
        * We store the return in a temporary variable
        * in case the operation failed we don't want
        * to overwrite the dp member of a.
        */
-      mp_digit *dp = (mp_digit *) MP_REALLOC(a->dp,
-                                             (size_t)a->alloc * sizeof(mp_digit),
-                                             (size_t)size * sizeof(mp_digit));
+      dp = (mp_digit *) MP_REALLOC(a->dp,
+                                   (size_t)a->alloc * sizeof(mp_digit),
+                                   (size_t)size * sizeof(mp_digit));
       if (dp == NULL) {
          /* reallocation failed but "a" is still valid [can be freed] */
          return MP_MEM;
diff --git a/mp_init.c b/mp_init.c
index 9b82282..af16744 100644
--- a/mp_init.c
+++ b/mp_init.c
@@ -7,7 +7,7 @@
 mp_err mp_init(mp_int *a)
 {
    /* allocate memory required and clear it */
-   a->dp = (mp_digit *) MP_CALLOC((size_t)MP_PREC, sizeof(mp_digit));
+   a->dp = (mp_digit *) MP_CALLOC((size_t)MP_DEFAULT_DIGIT_COUNT, sizeof(mp_digit));
    if (a->dp == NULL) {
       return MP_MEM;
    }
@@ -15,7 +15,7 @@ mp_err mp_init(mp_int *a)
    /* set the used to zero, allocated digits to the default precision
     * and sign to positive */
    a->used  = 0;
-   a->alloc = MP_PREC;
+   a->alloc = MP_DEFAULT_DIGIT_COUNT;
    a->sign  = MP_ZPOS;
 
    return MP_OKAY;
diff --git a/mp_init_multi.c b/mp_init_multi.c
index 6567cf1..908b4df 100644
--- a/mp_init_multi.c
+++ b/mp_init_multi.c
@@ -7,14 +7,15 @@
 
 mp_err mp_init_multi(mp_int *mp, ...)
 {
-   mp_err err = MP_OKAY;      /* Assume ok until proven otherwise */
+   mp_err err = MP_OKAY;
    int n = 0;                 /* Number of ok inits */
    mp_int *cur_arg = mp;
    va_list args;
 
    va_start(args, mp);        /* init args to next argument from caller */
    while (cur_arg != NULL) {
-      if (mp_init(cur_arg) != MP_OKAY) {
+      err = mp_init(cur_arg);
+      if (err != MP_OKAY) {
          /* Oops - error! Back-track and mp_clear what we already
             succeeded in init-ing, then return error.
          */
@@ -28,14 +29,13 @@ mp_err mp_init_multi(mp_int *mp, ...)
             cur_arg = va_arg(clean_args, mp_int *);
          }
          va_end(clean_args);
-         err = MP_MEM;
          break;
       }
       n++;
       cur_arg = va_arg(args, mp_int *);
    }
    va_end(args);
-   return err;                /* Assumed ok, if error flagged above. */
+   return err;
 }
 
 #endif
diff --git a/mp_init_size.c b/mp_init_size.c
index 9aa98b9..e28a3cd 100644
--- a/mp_init_size.c
+++ b/mp_init_size.c
@@ -6,7 +6,11 @@
 /* init an mp_init for a given size */
 mp_err mp_init_size(mp_int *a, int size)
 {
-   size = MP_MAX(MP_MIN_PREC, size);
+   size = MP_MAX(MP_MIN_DIGIT_COUNT, size);
+
+   if (size > MP_MAX_DIGIT_COUNT) {
+      return MP_OVF;
+   }
 
    /* alloc mem */
    a->dp = (mp_digit *) MP_CALLOC((size_t)size, sizeof(mp_digit));
diff --git a/mp_shrink.c b/mp_shrink.c
index e5814cb..3d9b162 100644
--- a/mp_shrink.c
+++ b/mp_shrink.c
@@ -6,7 +6,7 @@
 /* shrink a bignum */
 mp_err mp_shrink(mp_int *a)
 {
-   int alloc = MP_MAX(MP_MIN_PREC, a->used);
+   int alloc = MP_MAX(MP_MIN_DIGIT_COUNT, a->used);
    if (a->alloc != alloc) {
       mp_digit *dp = (mp_digit *) MP_REALLOC(a->dp,
                                              (size_t)a->alloc * sizeof(mp_digit),
diff --git a/s_mp_radix_size_overestimate.c b/s_mp_radix_size_overestimate.c
index 35dd1e6..4f05997 100644
--- a/s_mp_radix_size_overestimate.c
+++ b/s_mp_radix_size_overestimate.c
@@ -52,12 +52,7 @@ mp_err s_mp_radix_size_overestimate(const mp_int *a, const int radix, size_t *si
 
    if (MP_HAS(S_MP_LOG_2EXPT) && MP_IS_2EXPT((mp_digit)radix)) {
       /* floor(log_{2^n}(a)) + 1 + EOS + sign */
-      *size = (size_t)(s_mp_log_2expt(a, (mp_digit)radix));
-      /* Would overflow with base 2 otherwise */
-      if (*size > (INT_MAX - 4)) {
-         return MP_VAL;
-      }
-      *size += 3u;
+      *size = (size_t)(s_mp_log_2expt(a, (mp_digit)radix) + 3);
       return MP_OKAY;
    }
 
diff --git a/tommath.h b/tommath.h
index a2e7585..25a166e 100644
--- a/tommath.h
+++ b/tommath.h
@@ -100,7 +100,8 @@ typedef enum {
    MP_MEM   = -2,  /* out of mem */
    MP_VAL   = -3,  /* invalid input */
    MP_ITER  = -4,  /* maximum iterations reached */
-   MP_BUF   = -5   /* buffer overflow, supplied buffer too small */
+   MP_BUF   = -5,  /* buffer overflow, supplied buffer too small */
+   MP_OVF   = -6   /* mp_int overflow, too many digits */
 } mp_err;
 
 typedef enum {
diff --git a/tommath_c89.h b/tommath_c89.h
index 35fb828..e7b87f1 100644
--- a/tommath_c89.h
+++ b/tommath_c89.h
@@ -36,3 +36,5 @@ typedef __UINT64_TYPE__ mp_u64;
 #define MP_PRIi64 MP_PRI64_PREFIX "i"
 #define MP_PRIu64 MP_PRI64_PREFIX "u"
 #define MP_PRIx64 MP_PRI64_PREFIX "x"
+
+#define MP_FUNCTION_NAME __func__
diff --git a/tommath_private.h b/tommath_private.h
index 24e7781..0096479 100644
--- a/tommath_private.h
+++ b/tommath_private.h
@@ -140,22 +140,29 @@ typedef uint64_t mp_word;
 
 MP_STATIC_ASSERT(correct_word_size, sizeof(mp_word) == (2u * sizeof(mp_digit)))
 
-/* default precision */
-#ifndef MP_PREC
+/* default number of digits */
+#ifndef MP_DEFAULT_DIGIT_COUNT
 #   ifndef MP_LOW_MEM
-#      define MP_PREC 32        /* default digits of precision */
+#      define MP_DEFAULT_DIGIT_COUNT 32
 #   else
-#      define MP_PREC 8         /* default digits of precision */
+#      define MP_DEFAULT_DIGIT_COUNT 8
 #   endif
 #endif
 
-/* Minimum number of available digits in mp_int, MP_PREC >= MP_MIN_PREC
+/* Minimum number of available digits in mp_int, MP_DEFAULT_DIGIT_COUNT >= MP_MIN_DIGIT_COUNT
  * - Must be at least 3 for s_mp_div_school.
  * - Must be large enough such that the mp_set_u64 setter can
  *   store uint64_t in the mp_int without growing
  */
-#define MP_MIN_PREC MP_MAX(3, (((int)MP_SIZEOF_BITS(uint64_t) + MP_DIGIT_BIT) - 1) / MP_DIGIT_BIT)
-MP_STATIC_ASSERT(prec_geq_min_prec, MP_PREC >= MP_MIN_PREC)
+#define MP_MIN_DIGIT_COUNT MP_MAX(3, (((int)MP_SIZEOF_BITS(uint64_t) + MP_DIGIT_BIT) - 1) / MP_DIGIT_BIT)
+MP_STATIC_ASSERT(prec_geq_min_prec, MP_DEFAULT_DIGIT_COUNT >= MP_MIN_DIGIT_COUNT)
+
+/* Maximum number of digits.
+ * - Must be small enough such that mp_bit_count does not overflow.
+ * - Must be small enough such that mp_radix_size for base 2 does not overflow.
+ *   mp_radix_size needs two additional bytes for zero termination and sign.
+ */
+#define MP_MAX_DIGIT_COUNT ((INT_MAX - 2) / MP_DIGIT_BIT)
 
 /* random number source */
 extern MP_PRIVATE mp_err(*s_mp_rand_source)(void *out, size_t size);