test/bntest.c:216: error: BUFFER_OVERRUN_L3
  Offset: [8, +oo] (⇐ [8, +oo] + [0, +oo]) Size: [0, 8388607] by call to `BN_div_recp`.
Showing all 19 steps of the trace


test/bntest.c:215:9: Call
213.           BN_set_negative(a, rand_neg());
214.           BN_set_negative(b, rand_neg());
215.           BN_RECP_CTX_set(recp, b, ctx);
               ^
216.           BN_div_recp(d, c, a, recp, ctx);
217.           BN_mul(e, d, b, ctx);

crypto/bn/bn_recp.c:44:1: Parameter `*recp->N.d`
  42.   }
  43.   
  44. > int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)
  45.   {
  46.       if (!BN_copy(&(recp->N), d))

crypto/bn/bn_recp.c:46:10: Call
  44.   int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)
  45.   {
  46.       if (!BN_copy(&(recp->N), d))
                 ^
  47.           return 0;
  48.       BN_zero(&(recp->Nr));

crypto/bn/bn_lib.c:312:1: Parameter `*a->d`
    310.   }
    311.   
    312. > BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
    313.   {
    314.       bn_check_top(b);

test/bntest.c:216:9: Call
214.           BN_set_negative(b, rand_neg());
215.           BN_RECP_CTX_set(recp, b, ctx);
216.           BN_div_recp(d, c, a, recp, ctx);
               ^
217.           BN_mul(e, d, b, ctx);
218.           BN_add(d, e, c);

crypto/bn/bn_recp.c:83:1: Parameter `*recp->N.d`
  81.   }
  82.   
  83. > int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
  84.                   BN_RECP_CTX *recp, BN_CTX *ctx)
  85.   {

crypto/bn/bn_recp.c:139:10: Call
  137.       d->neg = 0;
  138.   
  139.       if (!BN_mul(b, &(recp->N), d, ctx))
                  ^
  140.           goto err;
  141.       if (!BN_usub(r, m, b))

crypto/bn/bn_mul.c:497:1: Parameter `*a->d`
    495.   #endif                          /* BN_RECURSION */
    496.   
    497. > int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    498.   {
    499.       int ret = 0;

crypto/bn/bn_mul.c:577:17: Call
    575.                   if (bn_wexpand(rr, k * 4) == NULL)
    576.                       goto err;
    577.                   bn_mul_part_recursive(rr->d, a->d, b->d,
                           ^
    578.                                         j, al - j, bl - j, t->d);
    579.               } else {            /* al <= j || bl <= j */

crypto/bn/bn_mul.c:322:1: Parameter `n`
      320.    */
      321.   /* tnX may not be negative but less than n */
      322. > void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n,
      323.                              int tna, int tnb, BN_ULONG *t)
      324.   {

crypto/bn/bn_mul.c:335:10: Call
      333.   
      334.       /* r=(a[0]-a[1])*(b[1]-b[0]) */
      335.       c1 = bn_cmp_part_words(a, &(a[n]), tna, n - tna);
                      ^
      336.       c2 = bn_cmp_part_words(&(b[n]), b, tnb, tnb - n);
      337.       neg = 0;

crypto/bn/bn_lib.c:724:1: Parameter `cl`
        722.    */
        723.   
        724. > int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
        725.   {
        726.       int n, i;

crypto/bn/bn_lib.c:741:12: Call
        739.           }
        740.       }
        741.       return bn_cmp_words(a, b, cl);
                          ^
        742.   }
        743.   

crypto/bn/bn_lib.c:697:1: <Offset trace>
695.   }
696.   
697. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
698.   {
699.       int i;

crypto/bn/bn_lib.c:697:1: Parameter `n`
          695.   }
          696.   
          697. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
          698.   {
          699.       int i;

crypto/bn/bn_lib.c:706:10: Assignment
          704.       if (aa != bb)
          705.           return ((aa > bb) ? 1 : -1);
          706.       for (i = n - 2; i >= 0; i--) {
                          ^
          707.           aa = a[i];
          708.           bb = b[i];

crypto/bn/bn_lib.c:697:1: <Length trace>
695.   }
696.   
697. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
698.   {
699.       int i;

crypto/bn/bn_lib.c:697:1: Parameter `*b`
          695.   }
          696.   
          697. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
          698.   {
          699.       int i;

crypto/bn/bn_lib.c:708:14: Array access: Offset: [8, +oo] (⇐ [8, +oo] + [0, +oo]) Size: [0, 8388607] by call to `BN_div_recp` 
          706.       for (i = n - 2; i >= 0; i--) {
          707.           aa = a[i];
          708.           bb = b[i];
                              ^
          709.           if (aa != bb)
          710.               return ((aa > bb) ? 1 : -1);

int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
{
    int i;
    BN_ULONG aa, bb;
    aa = a[n - 1];
    bb = b[n - 1];
    if (aa != bb)
        return ((aa > bb) ? 1 : -1);
    for (i = n - 2; i >= 0; i--) {
        aa = a[i];
        bb = b[i];
        if (aa != bb)
            return ((aa > bb) ? 1 : -1);
    }
    return 0;
}
['static int test_div_recip(void)\n{\n    BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;\n    BN_RECP_CTX *recp = NULL;\n    int st = 0, i;\n    if (!TEST_ptr(a = BN_new())\n            || !TEST_ptr(b = BN_new())\n            || !TEST_ptr(c = BN_new())\n            || !TEST_ptr(d = BN_new())\n            || !TEST_ptr(e = BN_new())\n            || !TEST_ptr(recp = BN_RECP_CTX_new()))\n        goto err;\n    for (i = 0; i < NUM0 + NUM1; i++) {\n        if (i < NUM1) {\n            BN_bntest_rand(a, 400, 0, 0);\n            BN_copy(b, a);\n            BN_lshift(a, a, i);\n            BN_add_word(a, i);\n        } else\n            BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0);\n        BN_set_negative(a, rand_neg());\n        BN_set_negative(b, rand_neg());\n        BN_RECP_CTX_set(recp, b, ctx);\n        BN_div_recp(d, c, a, recp, ctx);\n        BN_mul(e, d, b, ctx);\n        BN_add(d, e, c);\n        BN_sub(d, d, a);\n        if (!TEST_BN_eq_zero(d))\n            goto err;\n    }\n    st = 1;\nerr:\n    BN_free(a);\n    BN_free(b);\n    BN_free(c);\n    BN_free(d);\n    BN_free(e);\n    BN_RECP_CTX_free(recp);\n    return st;\n}', 'int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)\n{\n    if (!BN_copy(&(recp->N), d))\n        return 0;\n    BN_zero(&(recp->Nr));\n    recp->num_bits = BN_num_bits(d);\n    recp->shift = 0;\n    return 1;\n}', 'BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)\n{\n    bn_check_top(b);\n    if (a == b)\n        return a;\n    if (bn_wexpand(a, b->top) == NULL)\n        return NULL;\n    if (b->top > 0)\n        memcpy(a->d, b->d, sizeof(b->d[0]) * b->top);\n    a->top = b->top;\n    a->neg = b->neg;\n    bn_check_top(a);\n    return a;\n}', 'int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,\n                BN_RECP_CTX *recp, BN_CTX *ctx)\n{\n    int i, j, ret = 0;\n    BIGNUM *a, *b, *d, *r;\n    BN_CTX_start(ctx);\n    d = (dv != NULL) ? dv : BN_CTX_get(ctx);\n    r = (rem != NULL) ? rem : BN_CTX_get(ctx);\n    a = BN_CTX_get(ctx);\n    b = BN_CTX_get(ctx);\n    if (b == NULL)\n        goto err;\n    if (BN_ucmp(m, &(recp->N)) < 0) {\n        BN_zero(d);\n        if (!BN_copy(r, m)) {\n            BN_CTX_end(ctx);\n            return 0;\n        }\n        BN_CTX_end(ctx);\n        return 1;\n    }\n    i = BN_num_bits(m);\n    j = recp->num_bits << 1;\n    if (j > i)\n        i = j;\n    if (i != recp->shift)\n        recp->shift = BN_reciprocal(&(recp->Nr), &(recp->N), i, ctx);\n    if (recp->shift == -1)\n        goto err;\n    if (!BN_rshift(a, m, recp->num_bits))\n        goto err;\n    if (!BN_mul(b, a, &(recp->Nr), ctx))\n        goto err;\n    if (!BN_rshift(d, b, i - recp->num_bits))\n        goto err;\n    d->neg = 0;\n    if (!BN_mul(b, &(recp->N), d, ctx))\n        goto err;\n    if (!BN_usub(r, m, b))\n        goto err;\n    r->neg = 0;\n    j = 0;\n    while (BN_ucmp(r, &(recp->N)) >= 0) {\n        if (j++ > 2) {\n            BNerr(BN_F_BN_DIV_RECP, BN_R_BAD_RECIPROCAL);\n            goto err;\n        }\n        if (!BN_usub(r, r, &(recp->N)))\n            goto err;\n        if (!BN_add_word(d, 1))\n            goto err;\n    }\n    r->neg = BN_is_zero(r) ? 0 : m->neg;\n    d->neg = m->neg ^ recp->N.neg;\n    ret = 1;\n err:\n    BN_CTX_end(ctx);\n    bn_check_top(dv);\n    bn_check_top(rem);\n    return ret;\n}', 'int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)\n{\n    int ret = 0;\n    int top, al, bl;\n    BIGNUM *rr;\n#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)\n    int i;\n#endif\n#ifdef BN_RECURSION\n    BIGNUM *t = NULL;\n    int j = 0, k;\n#endif\n    bn_check_top(a);\n    bn_check_top(b);\n    bn_check_top(r);\n    al = a->top;\n    bl = b->top;\n    if ((al == 0) || (bl == 0)) {\n        BN_zero(r);\n        return 1;\n    }\n    top = al + bl;\n    BN_CTX_start(ctx);\n    if ((r == a) || (r == b)) {\n        if ((rr = BN_CTX_get(ctx)) == NULL)\n            goto err;\n    } else\n        rr = r;\n#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)\n    i = al - bl;\n#endif\n#ifdef BN_MUL_COMBA\n    if (i == 0) {\n# if 0\n        if (al == 4) {\n            if (bn_wexpand(rr, 8) == NULL)\n                goto err;\n            rr->top = 8;\n            bn_mul_comba4(rr->d, a->d, b->d);\n            goto end;\n        }\n# endif\n        if (al == 8) {\n            if (bn_wexpand(rr, 16) == NULL)\n                goto err;\n            rr->top = 16;\n            bn_mul_comba8(rr->d, a->d, b->d);\n            goto end;\n        }\n    }\n#endif\n#ifdef BN_RECURSION\n    if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL)) {\n        if (i >= -1 && i <= 1) {\n            if (i >= 0) {\n                j = BN_num_bits_word((BN_ULONG)al);\n            }\n            if (i == -1) {\n                j = BN_num_bits_word((BN_ULONG)bl);\n            }\n            j = 1 << (j - 1);\n            assert(j <= al || j <= bl);\n            k = j + j;\n            t = BN_CTX_get(ctx);\n            if (t == NULL)\n                goto err;\n            if (al > j || bl > j) {\n                if (bn_wexpand(t, k * 4) == NULL)\n                    goto err;\n                if (bn_wexpand(rr, k * 4) == NULL)\n                    goto err;\n                bn_mul_part_recursive(rr->d, a->d, b->d,\n                                      j, al - j, bl - j, t->d);\n            } else {\n                if (bn_wexpand(t, k * 2) == NULL)\n                    goto err;\n                if (bn_wexpand(rr, k * 2) == NULL)\n                    goto err;\n                bn_mul_recursive(rr->d, a->d, b->d, j, al - j, bl - j, t->d);\n            }\n            rr->top = top;\n            goto end;\n        }\n    }\n#endif\n    if (bn_wexpand(rr, top) == NULL)\n        goto err;\n    rr->top = top;\n    bn_mul_normal(rr->d, a->d, al, b->d, bl);\n#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)\n end:\n#endif\n    rr->neg = a->neg ^ b->neg;\n    bn_correct_top(rr);\n    if (r != rr && BN_copy(r, rr) == NULL)\n        goto err;\n    ret = 1;\n err:\n    bn_check_top(r);\n    BN_CTX_end(ctx);\n    return ret;\n}', 'void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n,\n                           int tna, int tnb, BN_ULONG *t)\n{\n    int i, j, n2 = n * 2;\n    int c1, c2, neg;\n    BN_ULONG ln, lo, *p;\n    if (n < 8) {\n        bn_mul_normal(r, a, n + tna, b, n + tnb);\n        return;\n    }\n    c1 = bn_cmp_part_words(a, &(a[n]), tna, n - tna);\n    c2 = bn_cmp_part_words(&(b[n]), b, tnb, tnb - n);\n    neg = 0;\n    switch (c1 * 3 + c2) {\n    case -4:\n        bn_sub_part_words(t, &(a[n]), a, tna, tna - n);\n        bn_sub_part_words(&(t[n]), b, &(b[n]), tnb, n - tnb);\n        break;\n    case -3:\n    case -2:\n        bn_sub_part_words(t, &(a[n]), a, tna, tna - n);\n        bn_sub_part_words(&(t[n]), &(b[n]), b, tnb, tnb - n);\n        neg = 1;\n        break;\n    case -1:\n    case 0:\n    case 1:\n    case 2:\n        bn_sub_part_words(t, a, &(a[n]), tna, n - tna);\n        bn_sub_part_words(&(t[n]), b, &(b[n]), tnb, n - tnb);\n        neg = 1;\n        break;\n    case 3:\n    case 4:\n        bn_sub_part_words(t, a, &(a[n]), tna, n - tna);\n        bn_sub_part_words(&(t[n]), &(b[n]), b, tnb, tnb - n);\n        break;\n    }\n# if 0\n    if (n == 4) {\n        bn_mul_comba4(&(t[n2]), t, &(t[n]));\n        bn_mul_comba4(r, a, b);\n        bn_mul_normal(&(r[n2]), &(a[n]), tn, &(b[n]), tn);\n        memset(&r[n2 + tn * 2], 0, sizeof(*r) * (n2 - tn * 2));\n    } else\n# endif\n    if (n == 8) {\n        bn_mul_comba8(&(t[n2]), t, &(t[n]));\n        bn_mul_comba8(r, a, b);\n        bn_mul_normal(&(r[n2]), &(a[n]), tna, &(b[n]), tnb);\n        memset(&r[n2 + tna + tnb], 0, sizeof(*r) * (n2 - tna - tnb));\n    } else {\n        p = &(t[n2 * 2]);\n        bn_mul_recursive(&(t[n2]), t, &(t[n]), n, 0, 0, p);\n        bn_mul_recursive(r, a, b, n, 0, 0, p);\n        i = n / 2;\n        if (tna > tnb)\n            j = tna - i;\n        else\n            j = tnb - i;\n        if (j == 0) {\n            bn_mul_recursive(&(r[n2]), &(a[n]), &(b[n]),\n                             i, tna - i, tnb - i, p);\n            memset(&r[n2 + i * 2], 0, sizeof(*r) * (n2 - i * 2));\n        } else if (j > 0) {\n            bn_mul_part_recursive(&(r[n2]), &(a[n]), &(b[n]),\n                                  i, tna - i, tnb - i, p);\n            memset(&(r[n2 + tna + tnb]), 0,\n                   sizeof(BN_ULONG) * (n2 - tna - tnb));\n        } else {\n            memset(&r[n2], 0, sizeof(*r) * n2);\n            if (tna < BN_MUL_RECURSIVE_SIZE_NORMAL\n                && tnb < BN_MUL_RECURSIVE_SIZE_NORMAL) {\n                bn_mul_normal(&(r[n2]), &(a[n]), tna, &(b[n]), tnb);\n            } else {\n                for (;;) {\n                    i /= 2;\n                    if (i < tna || i < tnb) {\n                        bn_mul_part_recursive(&(r[n2]),\n                                              &(a[n]), &(b[n]),\n                                              i, tna - i, tnb - i, p);\n                        break;\n                    } else if (i == tna || i == tnb) {\n                        bn_mul_recursive(&(r[n2]),\n                                         &(a[n]), &(b[n]),\n                                         i, tna - i, tnb - i, p);\n                        break;\n                    }\n                }\n            }\n        }\n    }\n    c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));\n    if (neg) {\n        c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));\n    } else {\n        c1 += (int)(bn_add_words(&(t[n2]), &(t[n2]), t, n2));\n    }\n    c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));\n    if (c1) {\n        p = &(r[n + n2]);\n        lo = *p;\n        ln = (lo + c1) & BN_MASK2;\n        *p = ln;\n        if (ln < (BN_ULONG)c1) {\n            do {\n                p++;\n                lo = *p;\n                ln = (lo + 1) & BN_MASK2;\n                *p = ln;\n            } while (ln == 0);\n        }\n    }\n}', 'int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)\n{\n    int n, i;\n    n = cl - 1;\n    if (dl < 0) {\n        for (i = dl; i < 0; i++) {\n            if (b[n - i] != 0)\n                return -1;\n        }\n    }\n    if (dl > 0) {\n        for (i = dl; i > 0; i--) {\n            if (a[n + i] != 0)\n                return 1;\n        }\n    }\n    return bn_cmp_words(a, b, cl);\n}', 'int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)\n{\n    int i;\n    BN_ULONG aa, bb;\n    aa = a[n - 1];\n    bb = b[n - 1];\n    if (aa != bb)\n        return ((aa > bb) ? 1 : -1);\n    for (i = n - 2; i >= 0; i--) {\n        aa = a[i];\n        bb = b[i];\n        if (aa != bb)\n            return ((aa > bb) ? 1 : -1);\n    }\n    return 0;\n}']