crypto/bn/bn_exp.c:220: error: BUFFER_OVERRUN_L3
  Offset: [8, +oo] (⇐ [8, +oo] + [0, +oo]) Size: [0, 8388607] by call to `BN_mod_mul_reciprocal`.
Showing all 21 steps of the trace


crypto/bn/bn_exp.c:203:13: Call
201.               goto err;
202.           aa->neg = 0;
203.           if (BN_RECP_CTX_set(&recp, aa, ctx) <= 0)
                   ^
204.               goto err;
205.       } else {

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

crypto/bn/bn_exp.c:220:14: Call
218.       window = BN_window_bits_for_exponent_size(bits);
219.       if (window > 1) {
220.           if (!BN_mod_mul_reciprocal(aa, val[0], val[0], &recp, ctx))
                    ^
221.               goto err;           /* 2 */
222.           j = 1 << (window - 1);

crypto/bn/bn_recp.c:55:1: Parameter `*recp->Nr.d`
  53.   }
  54.   
  55. > int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
  56.                             BN_RECP_CTX *recp, BN_CTX *ctx)
  57.   {

crypto/bn/bn_recp.c:77:11: Call
  75.           ca = x;                 /* Just do the mod */
  76.   
  77.       ret = BN_div_recp(NULL, r, ca, recp, ctx);
                  ^
  78.    err:
  79.       BN_CTX_end(ctx);

crypto/bn/bn_recp.c:84:1: Parameter `*recp->Nr.d`
    82.   }
    83.   
    84. > int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
    85.                   BN_RECP_CTX *recp, BN_CTX *ctx)
    86.   {

crypto/bn/bn_recp.c:134:10: Call
    132.       if (!BN_rshift(a, m, recp->num_bits))
    133.           goto err;
    134.       if (!BN_mul(b, a, &(recp->Nr), ctx))
                    ^
    135.           goto err;
    136.       if (!BN_rshift(d, b, i - recp->num_bits))

crypto/bn/bn_mul.c:497:1: Parameter `*b->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 = bn_mul_fixed_top(r, a, b, ctx);

crypto/bn/bn_mul.c:499:15: Call
      497.   int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
      498.   {
      499.       int ret = bn_mul_fixed_top(r, a, b, ctx);
                           ^
      500.   
      501.       bn_correct_top(r);

crypto/bn/bn_mul.c:507:1: Parameter `*b->d`
        505.   }
        506.   
        507. > int bn_mul_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
        508.   {
        509.       int ret = 0;

crypto/bn/bn_mul.c:587:17: Call
        585.                   if (bn_wexpand(rr, k * 4) == NULL)
        586.                       goto err;
        587.                   bn_mul_part_recursive(rr->d, a->d, b->d,
                               ^
        588.                                         j, al - j, bl - j, t->d);
        589.               } 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:336:10: Call
          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;
          338.       switch (c1 * 3 + c2) {

crypto/bn/bn_lib.c:720:1: Parameter `cl`
            718.    */
            719.   
            720. > int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
            721.   {
            722.       int n, i;

crypto/bn/bn_lib.c:737:12: Call
            735.           }
            736.       }
            737.       return bn_cmp_words(a, b, cl);
                              ^
            738.   }
            739.   

crypto/bn/bn_lib.c:693:1: <Offset trace>
691.   }
692.   
693. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
694.   {
695.       int i;

crypto/bn/bn_lib.c:693:1: Parameter `n`
              691.   }
              692.   
              693. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
              694.   {
              695.       int i;

crypto/bn/bn_lib.c:702:10: Assignment
              700.       if (aa != bb)
              701.           return ((aa > bb) ? 1 : -1);
              702.       for (i = n - 2; i >= 0; i--) {
                              ^
              703.           aa = a[i];
              704.           bb = b[i];

crypto/bn/bn_lib.c:693:1: <Length trace>
691.   }
692.   
693. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
694.   {
695.       int i;

crypto/bn/bn_lib.c:693:1: Parameter `*a`
              691.   }
              692.   
              693. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
              694.   {
              695.       int i;

crypto/bn/bn_lib.c:703:14: Array access: Offset: [8, +oo] (⇐ [8, +oo] + [0, +oo]) Size: [0, 8388607] by call to `BN_mod_mul_reciprocal` 
              701.           return ((aa > bb) ? 1 : -1);
              702.       for (i = n - 2; i >= 0; i--) {
              703.           aa = a[i];
                                  ^
              704.           bb = b[i];
              705.           if (aa != bb)

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;
}
['int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,\n                    const BIGNUM *m, BN_CTX *ctx)\n{\n    int i, j, bits, ret = 0, wstart, wend, window, wvalue;\n    int start = 1;\n    BIGNUM *aa;\n    BIGNUM *val[TABLE_SIZE];\n    BN_RECP_CTX recp;\n    if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0\n            || BN_get_flags(a, BN_FLG_CONSTTIME) != 0\n            || BN_get_flags(m, BN_FLG_CONSTTIME) != 0) {\n        BNerr(BN_F_BN_MOD_EXP_RECP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);\n        return 0;\n    }\n    bits = BN_num_bits(p);\n    if (bits == 0) {\n        if (BN_abs_is_word(m, 1)) {\n            ret = 1;\n            BN_zero(r);\n        } else {\n            ret = BN_one(r);\n        }\n        return ret;\n    }\n    BN_CTX_start(ctx);\n    aa = BN_CTX_get(ctx);\n    val[0] = BN_CTX_get(ctx);\n    if (val[0] == NULL)\n        goto err;\n    BN_RECP_CTX_init(&recp);\n    if (m->neg) {\n        if (!BN_copy(aa, m))\n            goto err;\n        aa->neg = 0;\n        if (BN_RECP_CTX_set(&recp, aa, ctx) <= 0)\n            goto err;\n    } else {\n        if (BN_RECP_CTX_set(&recp, m, ctx) <= 0)\n            goto err;\n    }\n    if (!BN_nnmod(val[0], a, m, ctx))\n        goto err;\n    if (BN_is_zero(val[0])) {\n        BN_zero(r);\n        ret = 1;\n        goto err;\n    }\n    window = BN_window_bits_for_exponent_size(bits);\n    if (window > 1) {\n        if (!BN_mod_mul_reciprocal(aa, val[0], val[0], &recp, ctx))\n            goto err;\n        j = 1 << (window - 1);\n        for (i = 1; i < j; i++) {\n            if (((val[i] = BN_CTX_get(ctx)) == NULL) ||\n                !BN_mod_mul_reciprocal(val[i], val[i - 1], aa, &recp, ctx))\n                goto err;\n        }\n    }\n    start = 1;\n    wvalue = 0;\n    wstart = bits - 1;\n    wend = 0;\n    if (!BN_one(r))\n        goto err;\n    for (;;) {\n        if (BN_is_bit_set(p, wstart) == 0) {\n            if (!start)\n                if (!BN_mod_mul_reciprocal(r, r, r, &recp, ctx))\n                    goto err;\n            if (wstart == 0)\n                break;\n            wstart--;\n            continue;\n        }\n        j = wstart;\n        wvalue = 1;\n        wend = 0;\n        for (i = 1; i < window; i++) {\n            if (wstart - i < 0)\n                break;\n            if (BN_is_bit_set(p, wstart - i)) {\n                wvalue <<= (i - wend);\n                wvalue |= 1;\n                wend = i;\n            }\n        }\n        j = wend + 1;\n        if (!start)\n            for (i = 0; i < j; i++) {\n                if (!BN_mod_mul_reciprocal(r, r, r, &recp, ctx))\n                    goto err;\n            }\n        if (!BN_mod_mul_reciprocal(r, r, val[wvalue >> 1], &recp, ctx))\n            goto err;\n        wstart -= wend + 1;\n        wvalue = 0;\n        start = 0;\n        if (wstart < 0)\n            break;\n    }\n    ret = 1;\n err:\n    BN_CTX_end(ctx);\n    BN_RECP_CTX_free(&recp);\n    bn_check_top(r);\n    return ret;\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}', 'int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,\n                          BN_RECP_CTX *recp, BN_CTX *ctx)\n{\n    int ret = 0;\n    BIGNUM *a;\n    const BIGNUM *ca;\n    BN_CTX_start(ctx);\n    if ((a = BN_CTX_get(ctx)) == NULL)\n        goto err;\n    if (y != NULL) {\n        if (x == y) {\n            if (!BN_sqr(a, x, ctx))\n                goto err;\n        } else {\n            if (!BN_mul(a, x, y, ctx))\n                goto err;\n        }\n        ca = a;\n    } else\n        ca = x;\n    ret = BN_div_recp(NULL, r, ca, recp, ctx);\n err:\n    BN_CTX_end(ctx);\n    bn_check_top(r);\n    return ret;\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 = bn_mul_fixed_top(r, a, b, ctx);\n    bn_correct_top(r);\n    bn_check_top(r);\n    return ret;\n}', 'int bn_mul_fixed_top(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    rr->flags |= BN_FLG_FIXED_TOP;\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}']