crypto/rsa/rsa_ossl.c:888: error: BUFFER_OVERRUN_L3
  Offset: [1, +oo] Size: [0, 8388607] by call to `BN_mod_exp_mont`.
Showing all 21 steps of the trace


crypto/rsa/rsa_ossl.c:688:17: Call
686.                                         ctx)
687.               || !bn_mul_fixed_top(r0, r1, rsa->q, ctx)
688.               || !bn_mod_add_fixed_top(r0, r0, m1, rsa->n))
                       ^
689.               goto err;
690.   

crypto/bn/bn_mod.c:66:10: Assignment
  64.       bp = b->d != NULL ? b->d : tp;
  65.   
  66.       for (i = 0, ai = 0, bi = 0, carry = 0; i < mtop;) {
                 ^
  67.           mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1));
  68.           temp = ((ap[ai] & mask) + carry) & BN_MASK2;

crypto/bn/bn_mod.c:85:5: Assignment
  83.           ((volatile BN_ULONG *)tp)[i] = 0;
  84.       }
  85.       r->top = mtop;
            ^
  86.       r->flags |= BN_FLG_FIXED_TOP;
  87.       r->neg = 0;

crypto/rsa/rsa_ossl.c:888:18: Call
886.       if (rsa->e && rsa->n) {
887.           if (rsa->meth->bn_mod_exp == BN_mod_exp_mont) {
888.               if (!BN_mod_exp_mont(vrfy, r0, rsa->e, rsa->n, ctx,
                        ^
889.                                    rsa->_method_mod_n))
890.                   goto err;

crypto/bn/bn_exp.c:296:1: Parameter `a->top`
  294.   }
  295.   
  296. > int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
  297.                       const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
  298.   {

crypto/bn/bn_exp.c:310:16: Call
  308.               || BN_get_flags(a, BN_FLG_CONSTTIME) != 0
  309.               || BN_get_flags(m, BN_FLG_CONSTTIME) != 0) {
  310.           return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont);
                        ^
  311.       }
  312.   

crypto/bn/bn_exp.c:592:1: Parameter `a->top`
    590.    * http://www.daemonology.net/hyperthreading-considered-harmful/)
    591.    */
    592. > int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
    593.                                 const BIGNUM *m, BN_CTX *ctx,
    594.                                 BN_MONT_CTX *in_mont)

crypto/bn/bn_exp.c:751:14: Call
    749.       /* prepare a^1 in Montgomery domain */
    750.       if (a->neg || BN_ucmp(a, m) >= 0) {
    751.           if (!BN_nnmod(&am, a, m, ctx))
                        ^
    752.               goto err;
    753.           if (!bn_to_mont_fixed_top(&am, &am, mont, ctx))

crypto/bn/bn_mod.c:13:1: Parameter `m->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:137:1: Parameter `num->top`
        135.    * If 'dv' or 'rm' is NULL, the respective value is not returned.
        136.    */
        137. > int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
        138.              BN_CTX *ctx)
        139.   {

crypto/bn/bn_div.c:204:11: Call
        202.       sdiv->neg = 0;
        203.       norm_shift += BN_BITS2;
        204.       if (!(BN_lshift(snum, num, norm_shift)))
                         ^
        205.           goto err;
        206.       snum->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:948:1: Parameter `*a->d`
            946.   }
            947.   
            948. > BIGNUM *bn_wexpand(BIGNUM *a, int words)
            949.   {
            950.       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_exp_mont` 
          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 rsa_ossl_mod_exp(BIGNUM *r0, const BIGNUM *I, RSA *rsa, BN_CTX *ctx)\n{\n    BIGNUM *r1, *m1, *vrfy, *r2, *m[RSA_MAX_PRIME_NUM - 2];\n    int ret = 0, i, ex_primes = 0, smooth = 0;\n    RSA_PRIME_INFO *pinfo;\n    BN_CTX_start(ctx);\n    r1 = BN_CTX_get(ctx);\n    r2 = BN_CTX_get(ctx);\n    m1 = BN_CTX_get(ctx);\n    vrfy = BN_CTX_get(ctx);\n    if (vrfy == NULL)\n        goto err;\n    if (rsa->version == RSA_ASN1_VERSION_MULTI\n        && ((ex_primes = sk_RSA_PRIME_INFO_num(rsa->prime_infos)) <= 0\n             || ex_primes > RSA_MAX_PRIME_NUM - 2))\n        goto err;\n    if (rsa->flags & RSA_FLAG_CACHE_PRIVATE) {\n        BIGNUM *factor = BN_new();\n        if (factor == NULL)\n            goto err;\n        if (!(BN_with_flags(factor, rsa->p, BN_FLG_CONSTTIME),\n              BN_MONT_CTX_set_locked(&rsa->_method_mod_p, rsa->lock,\n                                     factor, ctx))\n            || !(BN_with_flags(factor, rsa->q, BN_FLG_CONSTTIME),\n                 BN_MONT_CTX_set_locked(&rsa->_method_mod_q, rsa->lock,\n                                        factor, ctx))) {\n            BN_free(factor);\n            goto err;\n        }\n        for (i = 0; i < ex_primes; i++) {\n            pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);\n            BN_with_flags(factor, pinfo->r, BN_FLG_CONSTTIME);\n            if (!BN_MONT_CTX_set_locked(&pinfo->m, rsa->lock, factor, ctx)) {\n                BN_free(factor);\n                goto err;\n            }\n        }\n        BN_free(factor);\n        smooth = (ex_primes == 0)\n                 && (rsa->meth->bn_mod_exp == BN_mod_exp_mont)\n                 && (BN_num_bits(rsa->q) == BN_num_bits(rsa->p));\n    }\n    if (rsa->flags & RSA_FLAG_CACHE_PUBLIC)\n        if (!BN_MONT_CTX_set_locked(&rsa->_method_mod_n, rsa->lock,\n                                    rsa->n, ctx))\n            goto err;\n    if (smooth) {\n        if (\n            !bn_from_mont_fixed_top(m1, I, rsa->_method_mod_q, ctx)\n            || !bn_to_mont_fixed_top(m1, m1, rsa->_method_mod_q, ctx)\n            || !BN_mod_exp_mont_consttime(m1, m1, rsa->dmq1, rsa->q, ctx,\n                                          rsa->_method_mod_q)\n            || !bn_from_mont_fixed_top(r1, I, rsa->_method_mod_p, ctx)\n            || !bn_to_mont_fixed_top(r1, r1, rsa->_method_mod_p, ctx)\n            || !BN_mod_exp_mont_consttime(r1, r1, rsa->dmp1, rsa->p, ctx,\n                                          rsa->_method_mod_p)\n            || !bn_mod_sub_fixed_top(r1, r1, m1, rsa->p)\n            || !bn_to_mont_fixed_top(r1, r1, rsa->_method_mod_p, ctx)\n            || !bn_mul_mont_fixed_top(r1, r1, rsa->iqmp, rsa->_method_mod_p,\n                                      ctx)\n            || !bn_mul_fixed_top(r0, r1, rsa->q, ctx)\n            || !bn_mod_add_fixed_top(r0, r0, m1, rsa->n))\n            goto err;\n        goto tail;\n    }\n    {\n        BIGNUM *c = BN_new();\n        if (c == NULL)\n            goto err;\n        BN_with_flags(c, I, BN_FLG_CONSTTIME);\n        if (!BN_mod(r1, c, rsa->q, ctx)) {\n            BN_free(c);\n            goto err;\n        }\n        {\n            BIGNUM *dmq1 = BN_new();\n            if (dmq1 == NULL) {\n                BN_free(c);\n                goto err;\n            }\n            BN_with_flags(dmq1, rsa->dmq1, BN_FLG_CONSTTIME);\n            if (!rsa->meth->bn_mod_exp(m1, r1, dmq1, rsa->q, ctx,\n                                       rsa->_method_mod_q)) {\n                BN_free(c);\n                BN_free(dmq1);\n                goto err;\n            }\n            BN_free(dmq1);\n        }\n        if (!BN_mod(r1, c, rsa->p, ctx)) {\n            BN_free(c);\n            goto err;\n        }\n        BN_free(c);\n    }\n    {\n        BIGNUM *dmp1 = BN_new();\n        if (dmp1 == NULL)\n            goto err;\n        BN_with_flags(dmp1, rsa->dmp1, BN_FLG_CONSTTIME);\n        if (!rsa->meth->bn_mod_exp(r0, r1, dmp1, rsa->p, ctx,\n                                   rsa->_method_mod_p)) {\n            BN_free(dmp1);\n            goto err;\n        }\n        BN_free(dmp1);\n    }\n    if (ex_primes > 0) {\n        BIGNUM *di = BN_new(), *cc = BN_new();\n        if (cc == NULL || di == NULL) {\n            BN_free(cc);\n            BN_free(di);\n            goto err;\n        }\n        for (i = 0; i < ex_primes; i++) {\n            if ((m[i] = BN_CTX_get(ctx)) == NULL) {\n                BN_free(cc);\n                BN_free(di);\n                goto err;\n            }\n            pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);\n            BN_with_flags(cc, I, BN_FLG_CONSTTIME);\n            BN_with_flags(di, pinfo->d, BN_FLG_CONSTTIME);\n            if (!BN_mod(r1, cc, pinfo->r, ctx)) {\n                BN_free(cc);\n                BN_free(di);\n                goto err;\n            }\n            if (!rsa->meth->bn_mod_exp(m[i], r1, di, pinfo->r, ctx, pinfo->m)) {\n                BN_free(cc);\n                BN_free(di);\n                goto err;\n            }\n        }\n        BN_free(cc);\n        BN_free(di);\n    }\n    if (!BN_sub(r0, r0, m1))\n        goto err;\n    if (BN_is_negative(r0))\n        if (!BN_add(r0, r0, rsa->p))\n            goto err;\n    if (!BN_mul(r1, r0, rsa->iqmp, ctx))\n        goto err;\n    {\n        BIGNUM *pr1 = BN_new();\n        if (pr1 == NULL)\n            goto err;\n        BN_with_flags(pr1, r1, BN_FLG_CONSTTIME);\n        if (!BN_mod(r0, pr1, rsa->p, ctx)) {\n            BN_free(pr1);\n            goto err;\n        }\n        BN_free(pr1);\n    }\n    if (BN_is_negative(r0))\n        if (!BN_add(r0, r0, rsa->p))\n            goto err;\n    if (!BN_mul(r1, r0, rsa->q, ctx))\n        goto err;\n    if (!BN_add(r0, r1, m1))\n        goto err;\n    if (ex_primes > 0) {\n        BIGNUM *pr2 = BN_new();\n        if (pr2 == NULL)\n            goto err;\n        for (i = 0; i < ex_primes; i++) {\n            pinfo = sk_RSA_PRIME_INFO_value(rsa->prime_infos, i);\n            if (!BN_sub(r1, m[i], r0)) {\n                BN_free(pr2);\n                goto err;\n            }\n            if (!BN_mul(r2, r1, pinfo->t, ctx)) {\n                BN_free(pr2);\n                goto err;\n            }\n            BN_with_flags(pr2, r2, BN_FLG_CONSTTIME);\n            if (!BN_mod(r1, pr2, pinfo->r, ctx)) {\n                BN_free(pr2);\n                goto err;\n            }\n            if (BN_is_negative(r1))\n                if (!BN_add(r1, r1, pinfo->r)) {\n                    BN_free(pr2);\n                    goto err;\n                }\n            if (!BN_mul(r1, r1, pinfo->pp, ctx)) {\n                BN_free(pr2);\n                goto err;\n            }\n            if (!BN_add(r0, r0, r1)) {\n                BN_free(pr2);\n                goto err;\n            }\n        }\n        BN_free(pr2);\n    }\n tail:\n    if (rsa->e && rsa->n) {\n        if (rsa->meth->bn_mod_exp == BN_mod_exp_mont) {\n            if (!BN_mod_exp_mont(vrfy, r0, rsa->e, rsa->n, ctx,\n                                 rsa->_method_mod_n))\n                goto err;\n        } else {\n            bn_correct_top(r0);\n            if (!rsa->meth->bn_mod_exp(vrfy, r0, rsa->e, rsa->n, ctx,\n                                       rsa->_method_mod_n))\n                goto err;\n        }\n        if (!BN_sub(vrfy, vrfy, I))\n            goto err;\n        if (BN_is_zero(vrfy)) {\n            bn_correct_top(r0);\n            ret = 1;\n            goto err;\n        }\n        if (!BN_mod(vrfy, vrfy, rsa->n, ctx))\n            goto err;\n        if (BN_is_negative(vrfy))\n            if (!BN_add(vrfy, vrfy, rsa->n))\n                goto err;\n        if (!BN_is_zero(vrfy)) {\n            BIGNUM *d = BN_new();\n            if (d == NULL)\n                goto err;\n            BN_with_flags(d, rsa->d, BN_FLG_CONSTTIME);\n            if (!rsa->meth->bn_mod_exp(r0, I, d, rsa->n, ctx,\n                                       rsa->_method_mod_n)) {\n                BN_free(d);\n                goto err;\n            }\n            BN_free(d);\n        }\n    }\n    bn_correct_top(r0);\n    ret = 1;\n err:\n    BN_CTX_end(ctx);\n    return ret;\n}', 'int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,\n                         const BIGNUM *m)\n{\n    size_t i, ai, bi, mtop = m->top;\n    BN_ULONG storage[1024 / BN_BITS2];\n    BN_ULONG carry, temp, mask, *rp, *tp = storage;\n    const BN_ULONG *ap, *bp;\n    if (bn_wexpand(r, mtop) == NULL)\n        return 0;\n    if (mtop > sizeof(storage) / sizeof(storage[0])\n        && (tp = OPENSSL_malloc(mtop * sizeof(BN_ULONG))) == NULL)\n        return 0;\n    ap = a->d != NULL ? a->d : tp;\n    bp = b->d != NULL ? b->d : tp;\n    for (i = 0, ai = 0, bi = 0, carry = 0; i < mtop;) {\n        mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1));\n        temp = ((ap[ai] & mask) + carry) & BN_MASK2;\n        carry = (temp < carry);\n        mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1));\n        tp[i] = ((bp[bi] & mask) + temp) & BN_MASK2;\n        carry += (tp[i] < temp);\n        i++;\n        ai += (i - a->dmax) >> (8 * sizeof(i) - 1);\n        bi += (i - b->dmax) >> (8 * sizeof(i) - 1);\n    }\n    rp = r->d;\n    carry -= bn_sub_words(rp, tp, m->d, mtop);\n    for (i = 0; i < mtop; i++) {\n        rp[i] = (carry & tp[i]) | (~carry & rp[i]);\n        ((volatile BN_ULONG *)tp)[i] = 0;\n    }\n    r->top = mtop;\n    r->flags |= BN_FLG_FIXED_TOP;\n    r->neg = 0;\n    if (tp != storage)\n        OPENSSL_free(tp);\n    return 1;\n}', 'int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,\n                    const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)\n{\n    int i, j, bits, ret = 0, wstart, wend, window, wvalue;\n    int start = 1;\n    BIGNUM *d, *r;\n    const BIGNUM *aa;\n    BIGNUM *val[TABLE_SIZE];\n    BN_MONT_CTX *mont = NULL;\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        return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont);\n    }\n    bn_check_top(a);\n    bn_check_top(p);\n    bn_check_top(m);\n    if (!BN_is_odd(m)) {\n        BNerr(BN_F_BN_MOD_EXP_MONT, BN_R_CALLED_WITH_EVEN_MODULUS);\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(rr);\n        } else {\n            ret = BN_one(rr);\n        }\n        return ret;\n    }\n    BN_CTX_start(ctx);\n    d = BN_CTX_get(ctx);\n    r = BN_CTX_get(ctx);\n    val[0] = BN_CTX_get(ctx);\n    if (val[0] == NULL)\n        goto err;\n    if (in_mont != NULL)\n        mont = in_mont;\n    else {\n        if ((mont = BN_MONT_CTX_new()) == NULL)\n            goto err;\n        if (!BN_MONT_CTX_set(mont, m, ctx))\n            goto err;\n    }\n    if (a->neg || BN_ucmp(a, m) >= 0) {\n        if (!BN_nnmod(val[0], a, m, ctx))\n            goto err;\n        aa = val[0];\n    } else\n        aa = a;\n    if (!bn_to_mont_fixed_top(val[0], aa, mont, ctx))\n        goto err;\n    window = BN_window_bits_for_exponent_size(bits);\n    if (window > 1) {\n        if (!bn_mul_mont_fixed_top(d, val[0], val[0], mont, 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_mul_mont_fixed_top(val[i], val[i - 1], d, mont, ctx))\n                goto err;\n        }\n    }\n    start = 1;\n    wvalue = 0;\n    wstart = bits - 1;\n    wend = 0;\n#if 1\n    j = m->top;\n    if (m->d[j - 1] & (((BN_ULONG)1) << (BN_BITS2 - 1))) {\n        if (bn_wexpand(r, j) == NULL)\n            goto err;\n        r->d[0] = (0 - m->d[0]) & BN_MASK2;\n        for (i = 1; i < j; i++)\n            r->d[i] = (~m->d[i]) & BN_MASK2;\n        r->top = j;\n        r->flags |= BN_FLG_FIXED_TOP;\n    } else\n#endif\n    if (!bn_to_mont_fixed_top(r, BN_value_one(), mont, ctx))\n        goto err;\n    for (;;) {\n        if (BN_is_bit_set(p, wstart) == 0) {\n            if (!start) {\n                if (!bn_mul_mont_fixed_top(r, r, r, mont, ctx))\n                    goto err;\n            }\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_mul_mont_fixed_top(r, r, r, mont, ctx))\n                    goto err;\n            }\n        if (!bn_mul_mont_fixed_top(r, r, val[wvalue >> 1], mont, ctx))\n            goto err;\n        wstart -= wend + 1;\n        wvalue = 0;\n        start = 0;\n        if (wstart < 0)\n            break;\n    }\n#if defined(SPARC_T4_MONT)\n    if (OPENSSL_sparcv9cap_P[0] & (SPARCV9_VIS3 | SPARCV9_PREFER_FPU)) {\n        j = mont->N.top;\n        val[0]->d[0] = 1;\n        for (i = 1; i < j; i++)\n            val[0]->d[i] = 0;\n        val[0]->top = j;\n        if (!BN_mod_mul_montgomery(rr, r, val[0], mont, ctx))\n            goto err;\n    } else\n#endif\n    if (!BN_from_montgomery(rr, r, mont, ctx))\n        goto err;\n    ret = 1;\n err:\n    if (in_mont == NULL)\n        BN_MONT_CTX_free(mont);\n    BN_CTX_end(ctx);\n    bn_check_top(rr);\n    return ret;\n}', 'int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,\n                              const BIGNUM *m, BN_CTX *ctx,\n                              BN_MONT_CTX *in_mont)\n{\n    int i, bits, ret = 0, window, wvalue, wmask, window0;\n    int top;\n    BN_MONT_CTX *mont = NULL;\n    int numPowers;\n    unsigned char *powerbufFree = NULL;\n    int powerbufLen = 0;\n    unsigned char *powerbuf = NULL;\n    BIGNUM tmp, am;\n#if defined(SPARC_T4_MONT)\n    unsigned int t4 = 0;\n#endif\n    bn_check_top(a);\n    bn_check_top(p);\n    bn_check_top(m);\n    if (!BN_is_odd(m)) {\n        BNerr(BN_F_BN_MOD_EXP_MONT_CONSTTIME, BN_R_CALLED_WITH_EVEN_MODULUS);\n        return 0;\n    }\n    top = m->top;\n    bits = p->top * BN_BITS2;\n    if (bits == 0) {\n        if (BN_abs_is_word(m, 1)) {\n            ret = 1;\n            BN_zero(rr);\n        } else {\n            ret = BN_one(rr);\n        }\n        return ret;\n    }\n    BN_CTX_start(ctx);\n    if (in_mont != NULL)\n        mont = in_mont;\n    else {\n        if ((mont = BN_MONT_CTX_new()) == NULL)\n            goto err;\n        if (!BN_MONT_CTX_set(mont, m, ctx))\n            goto err;\n    }\n#ifdef RSAZ_ENABLED\n    if (!a->neg) {\n        if ((16 == a->top) && (16 == p->top) && (BN_num_bits(m) == 1024)\n            && rsaz_avx2_eligible()) {\n            if (NULL == bn_wexpand(rr, 16))\n                goto err;\n            RSAZ_1024_mod_exp_avx2(rr->d, a->d, p->d, m->d, mont->RR.d,\n                                   mont->n0[0]);\n            rr->top = 16;\n            rr->neg = 0;\n            bn_correct_top(rr);\n            ret = 1;\n            goto err;\n        } else if ((8 == a->top) && (8 == p->top) && (BN_num_bits(m) == 512)) {\n            if (NULL == bn_wexpand(rr, 8))\n                goto err;\n            RSAZ_512_mod_exp(rr->d, a->d, p->d, m->d, mont->n0[0], mont->RR.d);\n            rr->top = 8;\n            rr->neg = 0;\n            bn_correct_top(rr);\n            ret = 1;\n            goto err;\n        }\n    }\n#endif\n    window = BN_window_bits_for_ctime_exponent_size(bits);\n#if defined(SPARC_T4_MONT)\n    if (window >= 5 && (top & 15) == 0 && top <= 64 &&\n        (OPENSSL_sparcv9cap_P[1] & (CFR_MONTMUL | CFR_MONTSQR)) ==\n        (CFR_MONTMUL | CFR_MONTSQR) && (t4 = OPENSSL_sparcv9cap_P[0]))\n        window = 5;\n    else\n#endif\n#if defined(OPENSSL_BN_ASM_MONT5)\n    if (window >= 5) {\n        window = 5;\n        powerbufLen += top * sizeof(mont->N.d[0]);\n    }\n#endif\n    (void)0;\n    numPowers = 1 << window;\n    powerbufLen += sizeof(m->d[0]) * (top * numPowers +\n                                      ((2 * top) >\n                                       numPowers ? (2 * top) : numPowers));\n#ifdef alloca\n    if (powerbufLen < 3072)\n        powerbufFree =\n            alloca(powerbufLen + MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH);\n    else\n#endif\n        if ((powerbufFree =\n             OPENSSL_malloc(powerbufLen + MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH))\n            == NULL)\n        goto err;\n    powerbuf = MOD_EXP_CTIME_ALIGN(powerbufFree);\n    memset(powerbuf, 0, powerbufLen);\n#ifdef alloca\n    if (powerbufLen < 3072)\n        powerbufFree = NULL;\n#endif\n    tmp.d = (BN_ULONG *)(powerbuf + sizeof(m->d[0]) * top * numPowers);\n    am.d = tmp.d + top;\n    tmp.top = am.top = 0;\n    tmp.dmax = am.dmax = top;\n    tmp.neg = am.neg = 0;\n    tmp.flags = am.flags = BN_FLG_STATIC_DATA;\n#if 1\n    if (m->d[top - 1] & (((BN_ULONG)1) << (BN_BITS2 - 1))) {\n        tmp.d[0] = (0 - m->d[0]) & BN_MASK2;\n        for (i = 1; i < top; i++)\n            tmp.d[i] = (~m->d[i]) & BN_MASK2;\n        tmp.top = top;\n    } else\n#endif\n    if (!bn_to_mont_fixed_top(&tmp, BN_value_one(), mont, ctx))\n        goto err;\n    if (a->neg || BN_ucmp(a, m) >= 0) {\n        if (!BN_nnmod(&am, a, m, ctx))\n            goto err;\n        if (!bn_to_mont_fixed_top(&am, &am, mont, ctx))\n            goto err;\n    } else if (!bn_to_mont_fixed_top(&am, a, mont, ctx))\n        goto err;\n#if defined(SPARC_T4_MONT)\n    if (t4) {\n        typedef int (*bn_pwr5_mont_f) (BN_ULONG *tp, const BN_ULONG *np,\n                                       const BN_ULONG *n0, const void *table,\n                                       int power, int bits);\n        int bn_pwr5_mont_t4_8(BN_ULONG *tp, const BN_ULONG *np,\n                              const BN_ULONG *n0, const void *table,\n                              int power, int bits);\n        int bn_pwr5_mont_t4_16(BN_ULONG *tp, const BN_ULONG *np,\n                               const BN_ULONG *n0, const void *table,\n                               int power, int bits);\n        int bn_pwr5_mont_t4_24(BN_ULONG *tp, const BN_ULONG *np,\n                               const BN_ULONG *n0, const void *table,\n                               int power, int bits);\n        int bn_pwr5_mont_t4_32(BN_ULONG *tp, const BN_ULONG *np,\n                               const BN_ULONG *n0, const void *table,\n                               int power, int bits);\n        static const bn_pwr5_mont_f pwr5_funcs[4] = {\n            bn_pwr5_mont_t4_8, bn_pwr5_mont_t4_16,\n            bn_pwr5_mont_t4_24, bn_pwr5_mont_t4_32\n        };\n        bn_pwr5_mont_f pwr5_worker = pwr5_funcs[top / 16 - 1];\n        typedef int (*bn_mul_mont_f) (BN_ULONG *rp, const BN_ULONG *ap,\n                                      const void *bp, const BN_ULONG *np,\n                                      const BN_ULONG *n0);\n        int bn_mul_mont_t4_8(BN_ULONG *rp, const BN_ULONG *ap, const void *bp,\n                             const BN_ULONG *np, const BN_ULONG *n0);\n        int bn_mul_mont_t4_16(BN_ULONG *rp, const BN_ULONG *ap,\n                              const void *bp, const BN_ULONG *np,\n                              const BN_ULONG *n0);\n        int bn_mul_mont_t4_24(BN_ULONG *rp, const BN_ULONG *ap,\n                              const void *bp, const BN_ULONG *np,\n                              const BN_ULONG *n0);\n        int bn_mul_mont_t4_32(BN_ULONG *rp, const BN_ULONG *ap,\n                              const void *bp, const BN_ULONG *np,\n                              const BN_ULONG *n0);\n        static const bn_mul_mont_f mul_funcs[4] = {\n            bn_mul_mont_t4_8, bn_mul_mont_t4_16,\n            bn_mul_mont_t4_24, bn_mul_mont_t4_32\n        };\n        bn_mul_mont_f mul_worker = mul_funcs[top / 16 - 1];\n        void bn_mul_mont_vis3(BN_ULONG *rp, const BN_ULONG *ap,\n                              const void *bp, const BN_ULONG *np,\n                              const BN_ULONG *n0, int num);\n        void bn_mul_mont_t4(BN_ULONG *rp, const BN_ULONG *ap,\n                            const void *bp, const BN_ULONG *np,\n                            const BN_ULONG *n0, int num);\n        void bn_mul_mont_gather5_t4(BN_ULONG *rp, const BN_ULONG *ap,\n                                    const void *table, const BN_ULONG *np,\n                                    const BN_ULONG *n0, int num, int power);\n        void bn_flip_n_scatter5_t4(const BN_ULONG *inp, size_t num,\n                                   void *table, size_t power);\n        void bn_gather5_t4(BN_ULONG *out, size_t num,\n                           void *table, size_t power);\n        void bn_flip_t4(BN_ULONG *dst, BN_ULONG *src, size_t num);\n        BN_ULONG *np = mont->N.d, *n0 = mont->n0;\n        int stride = 5 * (6 - (top / 16 - 1));\n        for (i = am.top; i < top; i++)\n            am.d[i] = 0;\n        for (i = tmp.top; i < top; i++)\n            tmp.d[i] = 0;\n        bn_flip_n_scatter5_t4(tmp.d, top, powerbuf, 0);\n        bn_flip_n_scatter5_t4(am.d, top, powerbuf, 1);\n        if (!(*mul_worker) (tmp.d, am.d, am.d, np, n0) &&\n            !(*mul_worker) (tmp.d, am.d, am.d, np, n0))\n            bn_mul_mont_vis3(tmp.d, am.d, am.d, np, n0, top);\n        bn_flip_n_scatter5_t4(tmp.d, top, powerbuf, 2);\n        for (i = 3; i < 32; i++) {\n            if (!(*mul_worker) (tmp.d, tmp.d, am.d, np, n0) &&\n                !(*mul_worker) (tmp.d, tmp.d, am.d, np, n0))\n                bn_mul_mont_vis3(tmp.d, tmp.d, am.d, np, n0, top);\n            bn_flip_n_scatter5_t4(tmp.d, top, powerbuf, i);\n        }\n        np = alloca(top * sizeof(BN_ULONG));\n        top /= 2;\n        bn_flip_t4(np, mont->N.d, top);\n        window0 = (bits - 1) % 5 + 1;\n        wmask = (1 << window0) - 1;\n        bits -= window0;\n        wvalue = bn_get_bits(p, bits) & wmask;\n        bn_gather5_t4(tmp.d, top, powerbuf, wvalue);\n        while (bits > 0) {\n            if (bits < stride)\n                stride = bits;\n            bits -= stride;\n            wvalue = bn_get_bits(p, bits);\n            if ((*pwr5_worker) (tmp.d, np, n0, powerbuf, wvalue, stride))\n                continue;\n            if ((*pwr5_worker) (tmp.d, np, n0, powerbuf, wvalue, stride))\n                continue;\n            bits += stride - 5;\n            wvalue >>= stride - 5;\n            wvalue &= 31;\n            bn_mul_mont_t4(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_mul_mont_t4(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_mul_mont_t4(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_mul_mont_t4(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_mul_mont_t4(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_mul_mont_gather5_t4(tmp.d, tmp.d, powerbuf, np, n0, top,\n                                   wvalue);\n        }\n        bn_flip_t4(tmp.d, tmp.d, top);\n        top *= 2;\n        tmp.top = top;\n        bn_correct_top(&tmp);\n        OPENSSL_cleanse(np, top * sizeof(BN_ULONG));\n    } else\n#endif\n#if defined(OPENSSL_BN_ASM_MONT5)\n    if (window == 5 && top > 1) {\n        void bn_mul_mont_gather5(BN_ULONG *rp, const BN_ULONG *ap,\n                                 const void *table, const BN_ULONG *np,\n                                 const BN_ULONG *n0, int num, int power);\n        void bn_scatter5(const BN_ULONG *inp, size_t num,\n                         void *table, size_t power);\n        void bn_gather5(BN_ULONG *out, size_t num, void *table, size_t power);\n        void bn_power5(BN_ULONG *rp, const BN_ULONG *ap,\n                       const void *table, const BN_ULONG *np,\n                       const BN_ULONG *n0, int num, int power);\n        int bn_get_bits5(const BN_ULONG *ap, int off);\n        int bn_from_montgomery(BN_ULONG *rp, const BN_ULONG *ap,\n                               const BN_ULONG *not_used, const BN_ULONG *np,\n                               const BN_ULONG *n0, int num);\n        BN_ULONG *n0 = mont->n0, *np;\n        for (i = am.top; i < top; i++)\n            am.d[i] = 0;\n        for (i = tmp.top; i < top; i++)\n            tmp.d[i] = 0;\n        for (np = am.d + top, i = 0; i < top; i++)\n            np[i] = mont->N.d[i];\n        bn_scatter5(tmp.d, top, powerbuf, 0);\n        bn_scatter5(am.d, am.top, powerbuf, 1);\n        bn_mul_mont(tmp.d, am.d, am.d, np, n0, top);\n        bn_scatter5(tmp.d, top, powerbuf, 2);\n# if 0\n        for (i = 3; i < 32; i++) {\n            bn_mul_mont_gather5(tmp.d, am.d, powerbuf, np, n0, top, i - 1);\n            bn_scatter5(tmp.d, top, powerbuf, i);\n        }\n# else\n        for (i = 4; i < 32; i *= 2) {\n            bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_scatter5(tmp.d, top, powerbuf, i);\n        }\n        for (i = 3; i < 8; i += 2) {\n            int j;\n            bn_mul_mont_gather5(tmp.d, am.d, powerbuf, np, n0, top, i - 1);\n            bn_scatter5(tmp.d, top, powerbuf, i);\n            for (j = 2 * i; j < 32; j *= 2) {\n                bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n                bn_scatter5(tmp.d, top, powerbuf, j);\n            }\n        }\n        for (; i < 16; i += 2) {\n            bn_mul_mont_gather5(tmp.d, am.d, powerbuf, np, n0, top, i - 1);\n            bn_scatter5(tmp.d, top, powerbuf, i);\n            bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n            bn_scatter5(tmp.d, top, powerbuf, 2 * i);\n        }\n        for (; i < 32; i += 2) {\n            bn_mul_mont_gather5(tmp.d, am.d, powerbuf, np, n0, top, i - 1);\n            bn_scatter5(tmp.d, top, powerbuf, i);\n        }\n# endif\n        window0 = (bits - 1) % 5 + 1;\n        wmask = (1 << window0) - 1;\n        bits -= window0;\n        wvalue = bn_get_bits(p, bits) & wmask;\n        bn_gather5(tmp.d, top, powerbuf, wvalue);\n        if (top & 7) {\n            while (bits > 0) {\n                bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n                bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n                bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n                bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n                bn_mul_mont(tmp.d, tmp.d, tmp.d, np, n0, top);\n                bn_mul_mont_gather5(tmp.d, tmp.d, powerbuf, np, n0, top,\n                                    bn_get_bits5(p->d, bits -= 5));\n            }\n        } else {\n            while (bits > 0) {\n                bn_power5(tmp.d, tmp.d, powerbuf, np, n0, top,\n                          bn_get_bits5(p->d, bits -= 5));\n            }\n        }\n        ret = bn_from_montgomery(tmp.d, tmp.d, NULL, np, n0, top);\n        tmp.top = top;\n        bn_correct_top(&tmp);\n        if (ret) {\n            if (!BN_copy(rr, &tmp))\n                ret = 0;\n            goto err;\n        }\n    } else\n#endif\n    {\n        if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&tmp, top, powerbuf, 0, window))\n            goto err;\n        if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&am, top, powerbuf, 1, window))\n            goto err;\n        if (window > 1) {\n            if (!bn_mul_mont_fixed_top(&tmp, &am, &am, mont, ctx))\n                goto err;\n            if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&tmp, top, powerbuf, 2,\n                                              window))\n                goto err;\n            for (i = 3; i < numPowers; i++) {\n                if (!bn_mul_mont_fixed_top(&tmp, &am, &tmp, mont, ctx))\n                    goto err;\n                if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&tmp, top, powerbuf, i,\n                                                  window))\n                    goto err;\n            }\n        }\n        window0 = (bits - 1) % window + 1;\n        wmask = (1 << window0) - 1;\n        bits -= window0;\n        wvalue = bn_get_bits(p, bits) & wmask;\n        if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(&tmp, top, powerbuf, wvalue,\n                                            window))\n            goto err;\n        wmask = (1 << window) - 1;\n        while (bits > 0) {\n            for (i = 0; i < window; i++)\n                if (!bn_mul_mont_fixed_top(&tmp, &tmp, &tmp, mont, ctx))\n                    goto err;\n            bits -= window;\n            wvalue = bn_get_bits(p, bits) & wmask;\n            if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(&am, top, powerbuf, wvalue,\n                                                window))\n                goto err;\n            if (!bn_mul_mont_fixed_top(&tmp, &tmp, &am, mont, ctx))\n                goto err;\n        }\n    }\n#if defined(SPARC_T4_MONT)\n    if (OPENSSL_sparcv9cap_P[0] & (SPARCV9_VIS3 | SPARCV9_PREFER_FPU)) {\n        am.d[0] = 1;\n        for (i = 1; i < top; i++)\n            am.d[i] = 0;\n        if (!BN_mod_mul_montgomery(rr, &tmp, &am, mont, ctx))\n            goto err;\n    } else\n#endif\n    if (!BN_from_montgomery(rr, &tmp, mont, ctx))\n        goto err;\n    ret = 1;\n err:\n    if (in_mont == NULL)\n        BN_MONT_CTX_free(mont);\n    if (powerbuf != NULL) {\n        OPENSSL_cleanse(powerbuf, powerbufLen);\n        OPENSSL_free(powerbufFree);\n    }\n    BN_CTX_end(ctx);\n    return ret;\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    res = (dv == NULL) ? BN_CTX_get(ctx) : dv;\n    tmp = BN_CTX_get(ctx);\n    snum = BN_CTX_get(ctx);\n    sdiv = BN_CTX_get(ctx);\n    if (sdiv == 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.flags = BN_FLG_STATIC_DATA;\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_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}']