test/bntest.c:1512: error: BUFFER_OVERRUN_L3
  Offset: [1, +oo] Size: [0, 8388607] by call to `BN_mod_sqrt`.
Showing all 26 steps of the trace


test/bntest.c:1502:24: Call
1500.       BIGNUM *a = getBN(s, "A");
1501.       BIGNUM *p = getBN(s, "P");
1502.       BIGNUM *mod_sqrt = getBN(s, "ModSqrt");
                               ^
1503.       BIGNUM *ret = BN_new();
1504.       BIGNUM *ret2 = BN_new();

test/bntest.c:115:9: Call
  113.       }
  114.   
  115.       if (parseBN(&ret, hex) != (int)strlen(hex)) {
                 ^
  116.           fprintf(stderr, "Could not decode '%s'.\n", hex);
  117.           return NULL;

test/bntest.c:95:12: Call
    93.   {
    94.       *out = NULL;
    95.       return BN_hex2bn(out, in);
                     ^
    96.   }
    97.   

crypto/bn/bn_print.c:126:1: Parameter `(*bn)->top`
      124.   }
      125.   
      126. > int BN_hex2bn(BIGNUM **bn, const char *a)
      127.   {
      128.       BIGNUM *ret = NULL;

test/bntest.c:1512:10: Call
1510.   
1511.       /* There are two possible answers. */
1512.       if (!BN_mod_sqrt(ret, a, p, ctx) || !BN_sub(ret2, p, ret))
                 ^
1513.           goto err;
1514.   

crypto/bn/bn_sqrt.c:13:1: Parameter `p->top`
  11.   #include "bn_lcl.h"
  12.   
  13. > BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
  14.   /*
  15.    * Returns 'ret' such that ret^2 == a (mod p), using the Tonelli/Shanks

crypto/bn/bn_sqrt.c:26:10: Call
  24.       int e, i, j;
  25.   
  26.       if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) {
                 ^
  27.           if (BN_abs_is_word(p, 2)) {
  28.               if (ret == NULL)

crypto/bn/bn_lib.c:935:1: Parameter `a->top`
    933.   }
    934.   
    935. > int BN_is_odd(const BIGNUM *a)
    936.   {
    937.       return (a->top > 0) && (a->d[0] & 1);

crypto/bn/bn_sqrt.c:26:26: Call
  24.       int e, i, j;
  25.   
  26.       if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) {
                                 ^
  27.           if (BN_abs_is_word(p, 2)) {
  28.               if (ret == NULL)

crypto/bn/bn_lib.c:915:1: Parameter `a->top`
    913.   }
    914.   
    915. > int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w)
    916.   {
    917.       return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0));

crypto/bn/bn_sqrt.c:75:10: Call
  73.   
  74.       /* A = a mod p */
  75.       if (!BN_nnmod(A, a, p, ctx))
                 ^
  76.           goto end;
  77.   

crypto/bn/bn_mod.c:13:1: Parameter `d->top`
    11.   #include "bn_lcl.h"
    12.   
    13. > int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
    14.   {
    15.       /*

crypto/bn/bn_mod.c:20:11: Call
    18.        */
    19.   
    20.       if (!(BN_mod(r, m, d, ctx)))
                    ^
    21.           return 0;
    22.       if (!r->neg)

crypto/bn/bn_div.c:205:31: Call
      203.   
      204.       /* First we normalise the numbers */
      205.       norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);
                                           ^
      206.       if (!(BN_lshift(sdiv, divisor, norm_shift)))
      207.           goto err;

crypto/bn/bn_lib.c:167:9: Assignment
        165.   
        166.       if (BN_is_zero(a))
        167.           return 0;
                       ^
        168.       return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));
        169.   }

crypto/bn/bn_div.c:205:5: Assignment
      203.   
      204.       /* First we normalise the numbers */
      205.       norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);
                 ^
      206.       if (!(BN_lshift(sdiv, divisor, norm_shift)))
      207.           goto err;

crypto/bn/bn_div.c:206:11: Call
      204.       /* First we normalise the numbers */
      205.       norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);
      206.       if (!(BN_lshift(sdiv, divisor, norm_shift)))
                       ^
      207.           goto err;
      208.       sdiv->neg = 0;

crypto/bn/bn_shift.c:83:1: <Offset trace>
81.   }
82.   
83. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
84.   {
85.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:83:1: Parameter `n`
        81.   }
        82.   
        83. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
        84.   {
        85.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:97:5: Assignment
        95.       }
        96.   
        97.       nw = n / BN_BITS2;
                   ^
        98.       if (bn_wexpand(r, a->top + nw + 1) == NULL)
        99.           return (0);

crypto/bn/bn_shift.c:83:1: <Length trace>
81.   }
82.   
83. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
84.   {
85.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:83:1: Parameter `*r->d`
        81.   }
        82.   
        83. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
        84.   {
        85.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:98:9: Call
        96.   
        97.       nw = n / BN_BITS2;
        98.       if (bn_wexpand(r, a->top + nw + 1) == NULL)
                       ^
        99.           return (0);
        100.       r->neg = a->neg;

crypto/bn/bn_lib.c:1016:1: Parameter `*a->d`
          1014.   }
          1015.   
          1016. > BIGNUM *bn_wexpand(BIGNUM *a, int words)
          1017.   {
          1018.       return (words <= a->dmax) ? a : bn_expand2(a, words);

crypto/bn/bn_shift.c:104:5: Assignment
        102.       rb = BN_BITS2 - lb;
        103.       f = a->d;
        104.       t = r->d;
                   ^
        105.       t[a->top + nw] = 0;
        106.       if (lb == 0)

crypto/bn/bn_shift.c:112:13: Array access: Offset: [1, +oo] Size: [0, 8388607] by call to `BN_mod_sqrt` 
        110.           for (i = a->top - 1; i >= 0; i--) {
        111.               l = f[i];
        112.               t[nw + i + 1] |= (l >> rb) & BN_MASK2;
                           ^
        113.               t[nw + i] = (l << lb) & BN_MASK2;
        114.           }

int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
{
    int i, nw, lb, rb;
    BN_ULONG *t, *f;
    BN_ULONG l;
    bn_check_top(r);
    bn_check_top(a);
    if (n < 0) {
        BNerr(BN_F_BN_LSHIFT, BN_R_INVALID_SHIFT);
        return 0;
    }
    nw = n / BN_BITS2;
    if (bn_wexpand(r, a->top + nw + 1) == NULL)
        return (0);
    r->neg = a->neg;
    lb = n % BN_BITS2;
    rb = BN_BITS2 - lb;
    f = a->d;
    t = r->d;
    t[a->top + nw] = 0;
    if (lb == 0)
        for (i = a->top - 1; i >= 0; i--)
            t[nw + i] = f[i];
    else
        for (i = a->top - 1; i >= 0; i--) {
            l = f[i];
            t[nw + i + 1] |= (l >> rb) & BN_MASK2;
            t[nw + i] = (l << lb) & BN_MASK2;
        }
    memset(t, 0, sizeof(*t) * nw);
    r->top = a->top + nw + 1;
    bn_correct_top(r);
    bn_check_top(r);
    return (1);
}
['static int file_modsqrt(STANZA *s)\n{\n    BIGNUM *a = getBN(s, "A");\n    BIGNUM *p = getBN(s, "P");\n    BIGNUM *mod_sqrt = getBN(s, "ModSqrt");\n    BIGNUM *ret = BN_new();\n    BIGNUM *ret2 = BN_new();\n    int st = 0;\n    if (a == NULL || p == NULL || mod_sqrt == NULL\n            || ret == NULL || ret2 == NULL)\n        goto err;\n    if (!BN_mod_sqrt(ret, a, p, ctx) || !BN_sub(ret2, p, ret))\n        goto err;\n    if (BN_cmp(ret2, mod_sqrt) != 0\n            && !equalBN("sqrt(A) (mod P)", mod_sqrt, ret))\n        goto err;\n    st = 1;\nerr:\n    BN_free(a);\n    BN_free(p);\n    BN_free(mod_sqrt);\n    BN_free(ret);\n    BN_free(ret2);\n    return st;\n}', 'static BIGNUM *getBN(STANZA *s, const char *attribute)\n{\n    const char *hex;\n    BIGNUM *ret = NULL;\n    if ((hex = findattr(s, attribute)) == NULL) {\n        fprintf(stderr, "Can\'t find %s in test at line %d\\n",\n                attribute, s->start);\n        return NULL;\n    }\n    if (parseBN(&ret, hex) != (int)strlen(hex)) {\n        fprintf(stderr, "Could not decode \'%s\'.\\n", hex);\n        return NULL;\n    }\n    return ret;\n}', 'static int parseBN(BIGNUM **out, const char *in)\n{\n    *out = NULL;\n    return BN_hex2bn(out, in);\n}', "int BN_hex2bn(BIGNUM **bn, const char *a)\n{\n    BIGNUM *ret = NULL;\n    BN_ULONG l = 0;\n    int neg = 0, h, m, i, j, k, c;\n    int num;\n    if ((a == NULL) || (*a == '\\0'))\n        return (0);\n    if (*a == '-') {\n        neg = 1;\n        a++;\n    }\n    for (i = 0; i <= (INT_MAX/4) && isxdigit((unsigned char)a[i]); i++)\n        continue;\n    if (i == 0 || i > INT_MAX/4)\n        goto err;\n    num = i + neg;\n    if (bn == NULL)\n        return (num);\n    if (*bn == NULL) {\n        if ((ret = BN_new()) == NULL)\n            return (0);\n    } else {\n        ret = *bn;\n        BN_zero(ret);\n    }\n    if (bn_expand(ret, i * 4) == NULL)\n        goto err;\n    j = i;\n    m = 0;\n    h = 0;\n    while (j > 0) {\n        m = ((BN_BYTES * 2) <= j) ? (BN_BYTES * 2) : j;\n        l = 0;\n        for (;;) {\n            c = a[j - m];\n            k = OPENSSL_hexchar2int(c);\n            if (k < 0)\n                k = 0;\n            l = (l << 4) | k;\n            if (--m <= 0) {\n                ret->d[h++] = l;\n                break;\n            }\n        }\n        j -= (BN_BYTES * 2);\n    }\n    ret->top = h;\n    bn_correct_top(ret);\n    *bn = ret;\n    bn_check_top(ret);\n    if (ret->top != 0)\n        ret->neg = neg;\n    return (num);\n err:\n    if (*bn == NULL)\n        BN_free(ret);\n    return (0);\n}", 'BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)\n{\n    BIGNUM *ret = in;\n    int err = 1;\n    int r;\n    BIGNUM *A, *b, *q, *t, *x, *y;\n    int e, i, j;\n    if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) {\n        if (BN_abs_is_word(p, 2)) {\n            if (ret == NULL)\n                ret = BN_new();\n            if (ret == NULL)\n                goto end;\n            if (!BN_set_word(ret, BN_is_bit_set(a, 0))) {\n                if (ret != in)\n                    BN_free(ret);\n                return NULL;\n            }\n            bn_check_top(ret);\n            return ret;\n        }\n        BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);\n        return (NULL);\n    }\n    if (BN_is_zero(a) || BN_is_one(a)) {\n        if (ret == NULL)\n            ret = BN_new();\n        if (ret == NULL)\n            goto end;\n        if (!BN_set_word(ret, BN_is_one(a))) {\n            if (ret != in)\n                BN_free(ret);\n            return NULL;\n        }\n        bn_check_top(ret);\n        return ret;\n    }\n    BN_CTX_start(ctx);\n    A = BN_CTX_get(ctx);\n    b = BN_CTX_get(ctx);\n    q = BN_CTX_get(ctx);\n    t = BN_CTX_get(ctx);\n    x = BN_CTX_get(ctx);\n    y = BN_CTX_get(ctx);\n    if (y == NULL)\n        goto end;\n    if (ret == NULL)\n        ret = BN_new();\n    if (ret == NULL)\n        goto end;\n    if (!BN_nnmod(A, a, p, ctx))\n        goto end;\n    e = 1;\n    while (!BN_is_bit_set(p, e))\n        e++;\n    if (e == 1) {\n        if (!BN_rshift(q, p, 2))\n            goto end;\n        q->neg = 0;\n        if (!BN_add_word(q, 1))\n            goto end;\n        if (!BN_mod_exp(ret, A, q, p, ctx))\n            goto end;\n        err = 0;\n        goto vrfy;\n    }\n    if (e == 2) {\n        if (!BN_mod_lshift1_quick(t, A, p))\n            goto end;\n        if (!BN_rshift(q, p, 3))\n            goto end;\n        q->neg = 0;\n        if (!BN_mod_exp(b, t, q, p, ctx))\n            goto end;\n        if (!BN_mod_sqr(y, b, p, ctx))\n            goto end;\n        if (!BN_mod_mul(t, t, y, p, ctx))\n            goto end;\n        if (!BN_sub_word(t, 1))\n            goto end;\n        if (!BN_mod_mul(x, A, b, p, ctx))\n            goto end;\n        if (!BN_mod_mul(x, x, t, p, ctx))\n            goto end;\n        if (!BN_copy(ret, x))\n            goto end;\n        err = 0;\n        goto vrfy;\n    }\n    if (!BN_copy(q, p))\n        goto end;\n    q->neg = 0;\n    i = 2;\n    do {\n        if (i < 22) {\n            if (!BN_set_word(y, i))\n                goto end;\n        } else {\n            if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0))\n                goto end;\n            if (BN_ucmp(y, p) >= 0) {\n                if (!(p->neg ? BN_add : BN_sub) (y, y, p))\n                    goto end;\n            }\n            if (BN_is_zero(y))\n                if (!BN_set_word(y, i))\n                    goto end;\n        }\n        r = BN_kronecker(y, q, ctx);\n        if (r < -1)\n            goto end;\n        if (r == 0) {\n            BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);\n            goto end;\n        }\n    }\n    while (r == 1 && ++i < 82);\n    if (r != -1) {\n        BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS);\n        goto end;\n    }\n    if (!BN_rshift(q, q, e))\n        goto end;\n    if (!BN_mod_exp(y, y, q, p, ctx))\n        goto end;\n    if (BN_is_one(y)) {\n        BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);\n        goto end;\n    }\n    if (!BN_rshift1(t, q))\n        goto end;\n    if (BN_is_zero(t)) {\n        if (!BN_nnmod(t, A, p, ctx))\n            goto end;\n        if (BN_is_zero(t)) {\n            BN_zero(ret);\n            err = 0;\n            goto end;\n        } else if (!BN_one(x))\n            goto end;\n    } else {\n        if (!BN_mod_exp(x, A, t, p, ctx))\n            goto end;\n        if (BN_is_zero(x)) {\n            BN_zero(ret);\n            err = 0;\n            goto end;\n        }\n    }\n    if (!BN_mod_sqr(b, x, p, ctx))\n        goto end;\n    if (!BN_mod_mul(b, b, A, p, ctx))\n        goto end;\n    if (!BN_mod_mul(x, x, A, p, ctx))\n        goto end;\n    while (1) {\n        if (BN_is_one(b)) {\n            if (!BN_copy(ret, x))\n                goto end;\n            err = 0;\n            goto vrfy;\n        }\n        i = 1;\n        if (!BN_mod_sqr(t, b, p, ctx))\n            goto end;\n        while (!BN_is_one(t)) {\n            i++;\n            if (i == e) {\n                BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);\n                goto end;\n            }\n            if (!BN_mod_mul(t, t, t, p, ctx))\n                goto end;\n        }\n        if (!BN_copy(t, y))\n            goto end;\n        for (j = e - i - 1; j > 0; j--) {\n            if (!BN_mod_sqr(t, t, p, ctx))\n                goto end;\n        }\n        if (!BN_mod_mul(y, t, t, p, ctx))\n            goto end;\n        if (!BN_mod_mul(x, x, t, p, ctx))\n            goto end;\n        if (!BN_mod_mul(b, b, y, p, ctx))\n            goto end;\n        e = i;\n    }\n vrfy:\n    if (!err) {\n        if (!BN_mod_sqr(x, ret, p, ctx))\n            err = 1;\n        if (!err && 0 != BN_cmp(x, A)) {\n            BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);\n            err = 1;\n        }\n    }\n end:\n    if (err) {\n        if (ret != in)\n            BN_clear_free(ret);\n        ret = NULL;\n    }\n    BN_CTX_end(ctx);\n    bn_check_top(ret);\n    return ret;\n}', 'int BN_is_odd(const BIGNUM *a)\n{\n    return (a->top > 0) && (a->d[0] & 1);\n}', 'int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w)\n{\n    return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0));\n}', 'int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)\n{\n    if (!(BN_mod(r, m, d, ctx)))\n        return 0;\n    if (!r->neg)\n        return 1;\n    return (d->neg ? BN_sub : BN_add) (r, r, d);\n}', 'int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,\n           BN_CTX *ctx)\n{\n    int norm_shift, i, loop;\n    BIGNUM *tmp, wnum, *snum, *sdiv, *res;\n    BN_ULONG *resp, *wnump;\n    BN_ULONG d0, d1;\n    int num_n, div_n;\n    int no_branch = 0;\n    if ((num->top > 0 && num->d[num->top - 1] == 0) ||\n        (divisor->top > 0 && divisor->d[divisor->top - 1] == 0)) {\n        BNerr(BN_F_BN_DIV, BN_R_NOT_INITIALIZED);\n        return 0;\n    }\n    bn_check_top(num);\n    bn_check_top(divisor);\n    if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0)\n        || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) {\n        no_branch = 1;\n    }\n    bn_check_top(dv);\n    bn_check_top(rm);\n    if (BN_is_zero(divisor)) {\n        BNerr(BN_F_BN_DIV, BN_R_DIV_BY_ZERO);\n        return (0);\n    }\n    if (!no_branch && BN_ucmp(num, divisor) < 0) {\n        if (rm != NULL) {\n            if (BN_copy(rm, num) == NULL)\n                return (0);\n        }\n        if (dv != NULL)\n            BN_zero(dv);\n        return (1);\n    }\n    BN_CTX_start(ctx);\n    tmp = BN_CTX_get(ctx);\n    snum = BN_CTX_get(ctx);\n    sdiv = BN_CTX_get(ctx);\n    if (dv == NULL)\n        res = BN_CTX_get(ctx);\n    else\n        res = dv;\n    if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL)\n        goto err;\n    norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);\n    if (!(BN_lshift(sdiv, divisor, norm_shift)))\n        goto err;\n    sdiv->neg = 0;\n    norm_shift += BN_BITS2;\n    if (!(BN_lshift(snum, num, norm_shift)))\n        goto err;\n    snum->neg = 0;\n    if (no_branch) {\n        if (snum->top <= sdiv->top + 1) {\n            if (bn_wexpand(snum, sdiv->top + 2) == NULL)\n                goto err;\n            for (i = snum->top; i < sdiv->top + 2; i++)\n                snum->d[i] = 0;\n            snum->top = sdiv->top + 2;\n        } else {\n            if (bn_wexpand(snum, snum->top + 1) == NULL)\n                goto err;\n            snum->d[snum->top] = 0;\n            snum->top++;\n        }\n    }\n    div_n = sdiv->top;\n    num_n = snum->top;\n    loop = num_n - div_n;\n    wnum.neg = 0;\n    wnum.d = &(snum->d[loop]);\n    wnum.top = div_n;\n    wnum.dmax = snum->dmax - loop;\n    d0 = sdiv->d[div_n - 1];\n    d1 = (div_n == 1) ? 0 : sdiv->d[div_n - 2];\n    wnump = &(snum->d[num_n - 1]);\n    if (!bn_wexpand(res, (loop + 1)))\n        goto err;\n    res->neg = (num->neg ^ divisor->neg);\n    res->top = loop - no_branch;\n    resp = &(res->d[loop - 1]);\n    if (!bn_wexpand(tmp, (div_n + 1)))\n        goto err;\n    if (!no_branch) {\n        if (BN_ucmp(&wnum, sdiv) >= 0) {\n            bn_clear_top2max(&wnum);\n            bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n);\n            *resp = 1;\n        } else\n            res->top--;\n    }\n    resp++;\n    if (res->top == 0)\n        res->neg = 0;\n    else\n        resp--;\n    for (i = 0; i < loop - 1; i++, wnump--) {\n        BN_ULONG q, l0;\n# if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)\n        BN_ULONG bn_div_3_words(BN_ULONG *, BN_ULONG, BN_ULONG);\n        q = bn_div_3_words(wnump, d1, d0);\n# else\n        BN_ULONG n0, n1, rem = 0;\n        n0 = wnump[0];\n        n1 = wnump[-1];\n        if (n0 == d0)\n            q = BN_MASK2;\n        else {\n#  ifdef BN_LLONG\n            BN_ULLONG t2;\n#   if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)\n            q = (BN_ULONG)(((((BN_ULLONG) n0) << BN_BITS2) | n1) / d0);\n#   else\n            q = bn_div_words(n0, n1, d0);\n#   endif\n#   ifndef REMAINDER_IS_ALREADY_CALCULATED\n            rem = (n1 - q * d0) & BN_MASK2;\n#   endif\n            t2 = (BN_ULLONG) d1 *q;\n            for (;;) {\n                if (t2 <= ((((BN_ULLONG) rem) << BN_BITS2) | wnump[-2]))\n                    break;\n                q--;\n                rem += d0;\n                if (rem < d0)\n                    break;\n                t2 -= d1;\n            }\n#  else\n            BN_ULONG t2l, t2h;\n            q = bn_div_words(n0, n1, d0);\n#   ifndef REMAINDER_IS_ALREADY_CALCULATED\n            rem = (n1 - q * d0) & BN_MASK2;\n#   endif\n#   if defined(BN_UMULT_LOHI)\n            BN_UMULT_LOHI(t2l, t2h, d1, q);\n#   elif defined(BN_UMULT_HIGH)\n            t2l = d1 * q;\n            t2h = BN_UMULT_HIGH(d1, q);\n#   else\n            {\n                BN_ULONG ql, qh;\n                t2l = LBITS(d1);\n                t2h = HBITS(d1);\n                ql = LBITS(q);\n                qh = HBITS(q);\n                mul64(t2l, t2h, ql, qh);\n            }\n#   endif\n            for (;;) {\n                if ((t2h < rem) || ((t2h == rem) && (t2l <= wnump[-2])))\n                    break;\n                q--;\n                rem += d0;\n                if (rem < d0)\n                    break;\n                if (t2l < d1)\n                    t2h--;\n                t2l -= d1;\n            }\n#  endif\n        }\n# endif\n        l0 = bn_mul_words(tmp->d, sdiv->d, div_n, q);\n        tmp->d[div_n] = l0;\n        wnum.d--;\n        if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n + 1)) {\n            q--;\n            if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))\n                (*wnump)++;\n        }\n        resp--;\n        *resp = q;\n    }\n    bn_correct_top(snum);\n    if (rm != NULL) {\n        int neg = num->neg;\n        BN_rshift(rm, snum, norm_shift);\n        if (!BN_is_zero(rm))\n            rm->neg = neg;\n        bn_check_top(rm);\n    }\n    if (no_branch)\n        bn_correct_top(res);\n    BN_CTX_end(ctx);\n    return (1);\n err:\n    bn_check_top(rm);\n    BN_CTX_end(ctx);\n    return (0);\n}', 'int BN_num_bits(const BIGNUM *a)\n{\n    int i = a->top - 1;\n    bn_check_top(a);\n    if (BN_is_zero(a))\n        return 0;\n    return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));\n}', 'int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)\n{\n    int i, nw, lb, rb;\n    BN_ULONG *t, *f;\n    BN_ULONG l;\n    bn_check_top(r);\n    bn_check_top(a);\n    if (n < 0) {\n        BNerr(BN_F_BN_LSHIFT, BN_R_INVALID_SHIFT);\n        return 0;\n    }\n    nw = n / BN_BITS2;\n    if (bn_wexpand(r, a->top + nw + 1) == NULL)\n        return (0);\n    r->neg = a->neg;\n    lb = n % BN_BITS2;\n    rb = BN_BITS2 - lb;\n    f = a->d;\n    t = r->d;\n    t[a->top + nw] = 0;\n    if (lb == 0)\n        for (i = a->top - 1; i >= 0; i--)\n            t[nw + i] = f[i];\n    else\n        for (i = a->top - 1; i >= 0; i--) {\n            l = f[i];\n            t[nw + i + 1] |= (l >> rb) & BN_MASK2;\n            t[nw + i] = (l << lb) & BN_MASK2;\n        }\n    memset(t, 0, sizeof(*t) * nw);\n    r->top = a->top + nw + 1;\n    bn_correct_top(r);\n    bn_check_top(r);\n    return (1);\n}', 'BIGNUM *bn_wexpand(BIGNUM *a, int words)\n{\n    return (words <= a->dmax) ? a : bn_expand2(a, words);\n}']