crypto/rsa/rsa_chk.c:104: error: BUFFER_OVERRUN_L3
  Offset: [4, +oo] (⇐ [0, +oo] + 4) Size: [0, 8388607] by call to `BN_mul`.
Showing all 24 steps of the trace


crypto/rsa/rsa_chk.c:86:9: Call
84.   
85.       /* p prime? */
86.       r = BN_is_prime_ex(key->p, BN_prime_checks, NULL, cb);
              ^
87.       if (r != 1) {
88.           ret = r;

crypto/bn/bn_prime.c:303:12: Call
  301.                      BN_GENCB *cb)
  302.   {
  303.       return BN_is_prime_fasttest_ex(a, checks, ctx_passed, 0, cb);
                    ^
  304.   }
  305.   

crypto/bn/bn_prime.c:377:10: Call
    375.       if (mont == NULL)
    376.           goto err;
    377.       if (!BN_MONT_CTX_set(mont, A, ctx))
                    ^
    378.           goto err;
    379.   

crypto/bn/bn_mont.c:358:15: Call
      356.   
      357.       BN_CTX_start(ctx);
      358.       if ((Ri = BN_CTX_get(ctx)) == NULL)
                           ^
      359.           goto err;
      360.       R = &(mont->RR);            /* grab RR as a temp */

crypto/bn/bn_ctx.c:284:5: Call
        282.       }
        283.       /* OK, make sure the returned bignum is "zero" */
        284.       BN_zero(ret);
                   ^
        285.       ctx->used++;
        286.       CTXDBG_RET(ctx, ret);

crypto/bn/bn_lib.c:530:1: Parameter `*a->d`
          528.   }
          529.   
          530. > int BN_set_word(BIGNUM *a, BN_ULONG w)
          531.   {
          532.       bn_check_top(a);

crypto/bn/bn_mont.c:428:14: Call
      426.           tmod.top = buf[0] != 0 ? 1 : 0;
      427.           /* Ri = R^-1 mod N */
      428.           if ((BN_mod_inverse(Ri, R, &tmod, ctx)) == NULL)
                          ^
      429.               goto err;
      430.           if (!BN_lshift(Ri, Ri, BN_BITS2))

crypto/bn/bn_gcd.c:226:1: Parameter `*in->d`
        224.                                           BN_CTX *ctx);
        225.   
        226. > BIGNUM *BN_mod_inverse(BIGNUM *in,
        227.                          const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
        228.   {

crypto/bn/bn_gcd.c:231:10: Call
        229.       BIGNUM *rv;
        230.       int noinv;
        231.       rv = int_bn_mod_inverse(in, a, n, ctx, &noinv);
                        ^
        232.       if (noinv)
        233.           BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE);

crypto/bn/bn_gcd.c:237:1: Parameter `*in->d`
          235.   }
          236.   
          237. > BIGNUM *int_bn_mod_inverse(BIGNUM *in,
          238.                              const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
          239.                              int *pnoinv)

crypto/bn/bn_gcd.c:533:18: Call
          531.           /* Y*a == 1  (mod |n|) */
          532.           if (!Y->neg && BN_ucmp(Y, n) < 0) {
          533.               if (!BN_copy(R, Y))
                                  ^
          534.                   goto err;
          535.           } else {

crypto/bn/bn_lib.c:429:1: Parameter `*a->d`
            427.   }
            428.   
            429. > BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
            430.   {
            431.       int i;

crypto/rsa/rsa_chk.c:104:9: Call
102.   
103.       /* n = p*q? */
104.       r = BN_mul(i, key->p, key->q, ctx);
               ^
105.       if (!r) {
106.           ret = -1;

crypto/bn/bn_mul.c:911:19: Call
  909.       BN_CTX_start(ctx);
  910.       if ((r == a) || (r == b)) {
  911.           if ((rr = BN_CTX_get(ctx)) == NULL)
                           ^
  912.               goto err;
  913.       } else

crypto/bn/bn_ctx.c:284:5: Call
    282.       }
    283.       /* OK, make sure the returned bignum is "zero" */
    284.       BN_zero(ret);
               ^
    285.       ctx->used++;
    286.       CTXDBG_RET(ctx, ret);

crypto/bn/bn_lib.c:530:1: Parameter `*a->d`
      528.   }
      529.   
      530. > int BN_set_word(BIGNUM *a, BN_ULONG w)
      531.   {
      532.       bn_check_top(a);

crypto/bn/bn_mul.c:964:17: Call
  962.                   if (bn_wexpand(rr, k * 4) == NULL)
  963.                       goto err;
  964.                   bn_mul_part_recursive(rr->d, a->d, b->d,
                         ^
  965.                                         j, al - j, bl - j, t->d);
  966.               } else {            /* al <= j || bl <= j */

crypto/bn/bn_mul.c:534:1: Parameter `*t`
    532.    */
    533.   /* tnX may not be negative but less than n */
    534. > void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n,
    535.                              int tna, int tnb, BN_ULONG *t)
    536.   {

crypto/bn/bn_mul.c:597:9: Call
    595.       } else {
    596.           p = &(t[n2 * 2]);
    597.           bn_mul_recursive(&(t[n2]), t, &(t[n]), n, 0, 0, p);
                   ^
    598.           bn_mul_recursive(r, a, b, n, 0, 0, p);
    599.           i = n / 2;

crypto/bn/bn_mul.c:387:1: Parameter `*a`
      385.    */
      386.   /* dnX may not be positive, but n2/2+dnX has to be */
      387. > void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
      388.                         int dna, int dnb, BN_ULONG *t)
      389.   {

crypto/bn/bn_mul.c:413:9: Call
      411.       /* Else do normal multiply */
      412.       if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL) {
      413.           bn_mul_normal(r, a, n2 + dna, b, n2 + dnb);
                     ^
      414.           if ((dna + dnb) < 0)
      415.               memset(&r[2 * n2 + dna + dnb], 0,

crypto/bn/bn_mul.c:1037:1: <Length trace>
1035.   }
1036.   
1037. > void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb)
1038.   {
1039.       BN_ULONG *rr;

crypto/bn/bn_mul.c:1037:1: Parameter `*b`
        1035.   }
        1036.   
        1037. > void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb)
        1038.   {
        1039.       BN_ULONG *rr;

crypto/bn/bn_mul.c:1072:50: Array access: Offset: [4, +oo] (⇐ [0, +oo] + 4) Size: [0, 8388607] by call to `BN_mul` 
        1070.           if (--nb <= 0)
        1071.               return;
        1072.           rr[4] = bn_mul_add_words(&(r[4]), a, na, b[4]);
                                                                 ^
        1073.           rr += 4;
        1074.           r += 4;

void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb)
{
    BN_ULONG *rr;
    if (na < nb) {
        int itmp;
        BN_ULONG *ltmp;
        itmp = na;
        na = nb;
        nb = itmp;
        ltmp = a;
        a = b;
        b = ltmp;
    }
    rr = &(r[na]);
    if (nb <= 0) {
        (void)bn_mul_words(r, a, na, 0);
        return;
    } else
        rr[0] = bn_mul_words(r, a, na, b[0]);
    for (;;) {
        if (--nb <= 0)
            return;
        rr[1] = bn_mul_add_words(&(r[1]), a, na, b[1]);
        if (--nb <= 0)
            return;
        rr[2] = bn_mul_add_words(&(r[2]), a, na, b[2]);
        if (--nb <= 0)
            return;
        rr[3] = bn_mul_add_words(&(r[3]), a, na, b[3]);
        if (--nb <= 0)
            return;
        rr[4] = bn_mul_add_words(&(r[4]), a, na, b[4]);
        rr += 4;
        r += 4;
        b += 4;
    }
}
['int RSA_check_key_ex(const RSA *key, BN_GENCB *cb)\n{\n    BIGNUM *i, *j, *k, *l, *m;\n    BN_CTX *ctx;\n    int r;\n    int ret = 1;\n    if (!key->p || !key->q || !key->n || !key->e || !key->d) {\n        RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_VALUE_MISSING);\n        return 0;\n    }\n    i = BN_new();\n    j = BN_new();\n    k = BN_new();\n    l = BN_new();\n    m = BN_new();\n    ctx = BN_CTX_new();\n    if (i == NULL || j == NULL || k == NULL || l == NULL ||\n        m == NULL || ctx == NULL) {\n        ret = -1;\n        RSAerr(RSA_F_RSA_CHECK_KEY_EX, ERR_R_MALLOC_FAILURE);\n        goto err;\n    }\n    r = BN_is_prime_ex(key->p, BN_prime_checks, NULL, cb);\n    if (r != 1) {\n        ret = r;\n        if (r != 0)\n            goto err;\n        RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_P_NOT_PRIME);\n    }\n    r = BN_is_prime_ex(key->q, BN_prime_checks, NULL, cb);\n    if (r != 1) {\n        ret = r;\n        if (r != 0)\n            goto err;\n        RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_Q_NOT_PRIME);\n    }\n    r = BN_mul(i, key->p, key->q, ctx);\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    if (BN_cmp(i, key->n) != 0) {\n        ret = 0;\n        RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_N_DOES_NOT_EQUAL_P_Q);\n    }\n    r = BN_sub(i, key->p, BN_value_one());\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    r = BN_sub(j, key->q, BN_value_one());\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    r = BN_mul(l, i, j, ctx);\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    r = BN_gcd(m, i, j, ctx);\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    r = BN_div(k, NULL, l, m, ctx);\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    r = BN_mod_mul(i, key->d, key->e, k, ctx);\n    if (!r) {\n        ret = -1;\n        goto err;\n    }\n    if (!BN_is_one(i)) {\n        ret = 0;\n        RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_D_E_NOT_CONGRUENT_TO_1);\n    }\n    if (key->dmp1 != NULL && key->dmq1 != NULL && key->iqmp != NULL) {\n        r = BN_sub(i, key->p, BN_value_one());\n        if (!r) {\n            ret = -1;\n            goto err;\n        }\n        r = BN_mod(j, key->d, i, ctx);\n        if (!r) {\n            ret = -1;\n            goto err;\n        }\n        if (BN_cmp(j, key->dmp1) != 0) {\n            ret = 0;\n            RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_DMP1_NOT_CONGRUENT_TO_D);\n        }\n        r = BN_sub(i, key->q, BN_value_one());\n        if (!r) {\n            ret = -1;\n            goto err;\n        }\n        r = BN_mod(j, key->d, i, ctx);\n        if (!r) {\n            ret = -1;\n            goto err;\n        }\n        if (BN_cmp(j, key->dmq1) != 0) {\n            ret = 0;\n            RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_DMQ1_NOT_CONGRUENT_TO_D);\n        }\n        if (!BN_mod_inverse(i, key->q, key->p, ctx)) {\n            ret = -1;\n            goto err;\n        }\n        if (BN_cmp(i, key->iqmp) != 0) {\n            ret = 0;\n            RSAerr(RSA_F_RSA_CHECK_KEY_EX, RSA_R_IQMP_NOT_INVERSE_OF_Q);\n        }\n    }\n err:\n    BN_free(i);\n    BN_free(j);\n    BN_free(k);\n    BN_free(l);\n    BN_free(m);\n    BN_CTX_free(ctx);\n    return (ret);\n}', 'int BN_is_prime_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,\n                   BN_GENCB *cb)\n{\n    return BN_is_prime_fasttest_ex(a, checks, ctx_passed, 0, cb);\n}', 'int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,\n                            int do_trial_division, BN_GENCB *cb)\n{\n    int i, j, ret = -1;\n    int k;\n    BN_CTX *ctx = NULL;\n    BIGNUM *A1, *A1_odd, *check;\n    BN_MONT_CTX *mont = NULL;\n    const BIGNUM *A = NULL;\n    if (BN_cmp(a, BN_value_one()) <= 0)\n        return 0;\n    if (checks == BN_prime_checks)\n        checks = BN_prime_checks_for_size(BN_num_bits(a));\n    if (!BN_is_odd(a))\n        return BN_is_word(a, 2);\n    if (do_trial_division) {\n        for (i = 1; i < NUMPRIMES; i++)\n            if (BN_mod_word(a, primes[i]) == 0)\n                return 0;\n        if (!BN_GENCB_call(cb, 1, -1))\n            goto err;\n    }\n    if (ctx_passed != NULL)\n        ctx = ctx_passed;\n    else if ((ctx = BN_CTX_new()) == NULL)\n        goto err;\n    BN_CTX_start(ctx);\n    if (a->neg) {\n        BIGNUM *t;\n        if ((t = BN_CTX_get(ctx)) == NULL)\n            goto err;\n        BN_copy(t, a);\n        t->neg = 0;\n        A = t;\n    } else\n        A = a;\n    A1 = BN_CTX_get(ctx);\n    A1_odd = BN_CTX_get(ctx);\n    check = BN_CTX_get(ctx);\n    if (check == NULL)\n        goto err;\n    if (!BN_copy(A1, A))\n        goto err;\n    if (!BN_sub_word(A1, 1))\n        goto err;\n    if (BN_is_zero(A1)) {\n        ret = 0;\n        goto err;\n    }\n    k = 1;\n    while (!BN_is_bit_set(A1, k))\n        k++;\n    if (!BN_rshift(A1_odd, A1, k))\n        goto err;\n    mont = BN_MONT_CTX_new();\n    if (mont == NULL)\n        goto err;\n    if (!BN_MONT_CTX_set(mont, A, ctx))\n        goto err;\n    for (i = 0; i < checks; i++) {\n        if (!BN_pseudo_rand_range(check, A1))\n            goto err;\n        if (!BN_add_word(check, 1))\n            goto err;\n        j = witness(check, A, A1, A1_odd, k, ctx, mont);\n        if (j == -1)\n            goto err;\n        if (j) {\n            ret = 0;\n            goto err;\n        }\n        if (!BN_GENCB_call(cb, 1, i))\n            goto err;\n    }\n    ret = 1;\n err:\n    if (ctx != NULL) {\n        BN_CTX_end(ctx);\n        if (ctx_passed == NULL)\n            BN_CTX_free(ctx);\n    }\n    BN_MONT_CTX_free(mont);\n    return (ret);\n}', 'int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx)\n{\n    int ret = 0;\n    BIGNUM *Ri, *R;\n    if (BN_is_zero(mod))\n        return 0;\n    BN_CTX_start(ctx);\n    if ((Ri = BN_CTX_get(ctx)) == NULL)\n        goto err;\n    R = &(mont->RR);\n    if (!BN_copy(&(mont->N), mod))\n        goto err;\n    mont->N.neg = 0;\n#ifdef MONT_WORD\n    {\n        BIGNUM tmod;\n        BN_ULONG buf[2];\n        bn_init(&tmod);\n        tmod.d = buf;\n        tmod.dmax = 2;\n        tmod.neg = 0;\n        mont->ri = (BN_num_bits(mod) + (BN_BITS2 - 1)) / BN_BITS2 * BN_BITS2;\n# if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)\n        BN_zero(R);\n        if (!(BN_set_bit(R, 2 * BN_BITS2)))\n            goto err;\n        tmod.top = 0;\n        if ((buf[0] = mod->d[0]))\n            tmod.top = 1;\n        if ((buf[1] = mod->top > 1 ? mod->d[1] : 0))\n            tmod.top = 2;\n        if ((BN_mod_inverse(Ri, R, &tmod, ctx)) == NULL)\n            goto err;\n        if (!BN_lshift(Ri, Ri, 2 * BN_BITS2))\n            goto err;\n        if (!BN_is_zero(Ri)) {\n            if (!BN_sub_word(Ri, 1))\n                goto err;\n        } else {\n            if (bn_expand(Ri, (int)sizeof(BN_ULONG) * 2) == NULL)\n                goto err;\n            Ri->neg = 0;\n            Ri->d[0] = BN_MASK2;\n            Ri->d[1] = BN_MASK2;\n            Ri->top = 2;\n        }\n        if (!BN_div(Ri, NULL, Ri, &tmod, ctx))\n            goto err;\n        mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;\n        mont->n0[1] = (Ri->top > 1) ? Ri->d[1] : 0;\n# else\n        BN_zero(R);\n        if (!(BN_set_bit(R, BN_BITS2)))\n            goto err;\n        buf[0] = mod->d[0];\n        buf[1] = 0;\n        tmod.top = buf[0] != 0 ? 1 : 0;\n        if ((BN_mod_inverse(Ri, R, &tmod, ctx)) == NULL)\n            goto err;\n        if (!BN_lshift(Ri, Ri, BN_BITS2))\n            goto err;\n        if (!BN_is_zero(Ri)) {\n            if (!BN_sub_word(Ri, 1))\n                goto err;\n        } else {\n            if (!BN_set_word(Ri, BN_MASK2))\n                goto err;\n        }\n        if (!BN_div(Ri, NULL, Ri, &tmod, ctx))\n            goto err;\n        mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;\n        mont->n0[1] = 0;\n# endif\n    }\n#else\n    {\n        mont->ri = BN_num_bits(&mont->N);\n        BN_zero(R);\n        if (!BN_set_bit(R, mont->ri))\n            goto err;\n        if ((BN_mod_inverse(Ri, R, &mont->N, ctx)) == NULL)\n            goto err;\n        if (!BN_lshift(Ri, Ri, mont->ri))\n            goto err;\n        if (!BN_sub_word(Ri, 1))\n            goto err;\n        if (!BN_div(&(mont->Ni), NULL, Ri, &mont->N, ctx))\n            goto err;\n    }\n#endif\n    BN_zero(&(mont->RR));\n    if (!BN_set_bit(&(mont->RR), mont->ri * 2))\n        goto err;\n    if (!BN_mod(&(mont->RR), &(mont->RR), &(mont->N), ctx))\n        goto err;\n    ret = 1;\n err:\n    BN_CTX_end(ctx);\n    return ret;\n}', 'BIGNUM *BN_CTX_get(BN_CTX *ctx)\n{\n    BIGNUM *ret;\n    CTXDBG_ENTRY("BN_CTX_get", ctx);\n    if (ctx->err_stack || ctx->too_many)\n        return NULL;\n    if ((ret = BN_POOL_get(&ctx->pool, ctx->flags)) == NULL) {\n        ctx->too_many = 1;\n        BNerr(BN_F_BN_CTX_GET, BN_R_TOO_MANY_TEMPORARY_VARIABLES);\n        return NULL;\n    }\n    BN_zero(ret);\n    ctx->used++;\n    CTXDBG_RET(ctx, ret);\n    return ret;\n}', 'int BN_set_word(BIGNUM *a, BN_ULONG w)\n{\n    bn_check_top(a);\n    if (bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL)\n        return (0);\n    a->neg = 0;\n    a->d[0] = w;\n    a->top = (w ? 1 : 0);\n    bn_check_top(a);\n    return (1);\n}', 'BIGNUM *BN_mod_inverse(BIGNUM *in,\n                       const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)\n{\n    BIGNUM *rv;\n    int noinv;\n    rv = int_bn_mod_inverse(in, a, n, ctx, &noinv);\n    if (noinv)\n        BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE);\n    return rv;\n}', 'BIGNUM *int_bn_mod_inverse(BIGNUM *in,\n                           const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,\n                           int *pnoinv)\n{\n    BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL;\n    BIGNUM *ret = NULL;\n    int sign;\n    if (pnoinv)\n        *pnoinv = 0;\n    if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0)\n        || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0)) {\n        return BN_mod_inverse_no_branch(in, a, n, ctx);\n    }\n    bn_check_top(a);\n    bn_check_top(n);\n    BN_CTX_start(ctx);\n    A = BN_CTX_get(ctx);\n    B = BN_CTX_get(ctx);\n    X = BN_CTX_get(ctx);\n    D = BN_CTX_get(ctx);\n    M = BN_CTX_get(ctx);\n    Y = BN_CTX_get(ctx);\n    T = BN_CTX_get(ctx);\n    if (T == NULL)\n        goto err;\n    if (in == NULL)\n        R = BN_new();\n    else\n        R = in;\n    if (R == NULL)\n        goto err;\n    BN_one(X);\n    BN_zero(Y);\n    if (BN_copy(B, a) == NULL)\n        goto err;\n    if (BN_copy(A, n) == NULL)\n        goto err;\n    A->neg = 0;\n    if (B->neg || (BN_ucmp(B, A) >= 0)) {\n        if (!BN_nnmod(B, B, A, ctx))\n            goto err;\n    }\n    sign = -1;\n    if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048))) {\n        int shift;\n        while (!BN_is_zero(B)) {\n            shift = 0;\n            while (!BN_is_bit_set(B, shift)) {\n                shift++;\n                if (BN_is_odd(X)) {\n                    if (!BN_uadd(X, X, n))\n                        goto err;\n                }\n                if (!BN_rshift1(X, X))\n                    goto err;\n            }\n            if (shift > 0) {\n                if (!BN_rshift(B, B, shift))\n                    goto err;\n            }\n            shift = 0;\n            while (!BN_is_bit_set(A, shift)) {\n                shift++;\n                if (BN_is_odd(Y)) {\n                    if (!BN_uadd(Y, Y, n))\n                        goto err;\n                }\n                if (!BN_rshift1(Y, Y))\n                    goto err;\n            }\n            if (shift > 0) {\n                if (!BN_rshift(A, A, shift))\n                    goto err;\n            }\n            if (BN_ucmp(B, A) >= 0) {\n                if (!BN_uadd(X, X, Y))\n                    goto err;\n                if (!BN_usub(B, B, A))\n                    goto err;\n            } else {\n                if (!BN_uadd(Y, Y, X))\n                    goto err;\n                if (!BN_usub(A, A, B))\n                    goto err;\n            }\n        }\n    } else {\n        while (!BN_is_zero(B)) {\n            BIGNUM *tmp;\n            if (BN_num_bits(A) == BN_num_bits(B)) {\n                if (!BN_one(D))\n                    goto err;\n                if (!BN_sub(M, A, B))\n                    goto err;\n            } else if (BN_num_bits(A) == BN_num_bits(B) + 1) {\n                if (!BN_lshift1(T, B))\n                    goto err;\n                if (BN_ucmp(A, T) < 0) {\n                    if (!BN_one(D))\n                        goto err;\n                    if (!BN_sub(M, A, B))\n                        goto err;\n                } else {\n                    if (!BN_sub(M, A, T))\n                        goto err;\n                    if (!BN_add(D, T, B))\n                        goto err;\n                    if (BN_ucmp(A, D) < 0) {\n                        if (!BN_set_word(D, 2))\n                            goto err;\n                    } else {\n                        if (!BN_set_word(D, 3))\n                            goto err;\n                        if (!BN_sub(M, M, B))\n                            goto err;\n                    }\n                }\n            } else {\n                if (!BN_div(D, M, A, B, ctx))\n                    goto err;\n            }\n            tmp = A;\n            A = B;\n            B = M;\n            if (BN_is_one(D)) {\n                if (!BN_add(tmp, X, Y))\n                    goto err;\n            } else {\n                if (BN_is_word(D, 2)) {\n                    if (!BN_lshift1(tmp, X))\n                        goto err;\n                } else if (BN_is_word(D, 4)) {\n                    if (!BN_lshift(tmp, X, 2))\n                        goto err;\n                } else if (D->top == 1) {\n                    if (!BN_copy(tmp, X))\n                        goto err;\n                    if (!BN_mul_word(tmp, D->d[0]))\n                        goto err;\n                } else {\n                    if (!BN_mul(tmp, D, X, ctx))\n                        goto err;\n                }\n                if (!BN_add(tmp, tmp, Y))\n                    goto err;\n            }\n            M = Y;\n            Y = X;\n            X = tmp;\n            sign = -sign;\n        }\n    }\n    if (sign < 0) {\n        if (!BN_sub(Y, n, Y))\n            goto err;\n    }\n    if (BN_is_one(A)) {\n        if (!Y->neg && BN_ucmp(Y, n) < 0) {\n            if (!BN_copy(R, Y))\n                goto err;\n        } else {\n            if (!BN_nnmod(R, Y, n, ctx))\n                goto err;\n        }\n    } else {\n        if (pnoinv)\n            *pnoinv = 1;\n        goto err;\n    }\n    ret = R;\n err:\n    if ((ret == NULL) && (in == NULL))\n        BN_free(R);\n    BN_CTX_end(ctx);\n    bn_check_top(ret);\n    return (ret);\n}', 'BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)\n{\n    int i;\n    BN_ULONG *A;\n    const BN_ULONG *B;\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 1\n    A = a->d;\n    B = b->d;\n    for (i = b->top >> 2; i > 0; i--, A += 4, B += 4) {\n        BN_ULONG a0, a1, a2, a3;\n        a0 = B[0];\n        a1 = B[1];\n        a2 = B[2];\n        a3 = B[3];\n        A[0] = a0;\n        A[1] = a1;\n        A[2] = a2;\n        A[3] = a3;\n    }\n    switch (b->top & 3) {\n    case 3:\n        A[2] = B[2];\n    case 2:\n        A[1] = B[1];\n    case 1:\n        A[0] = B[0];\n    case 0:;\n    }\n#else\n    memcpy(a->d, b->d, sizeof(b->d[0]) * b->top);\n#endif\n    a->top = b->top;\n    a->neg = b->neg;\n    bn_check_top(a);\n    return (a);\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    rr->neg = a->neg ^ b->neg;\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# if 0\n        if (i == 1 && !BN_get_flags(b, BN_FLG_STATIC_DATA)) {\n            BIGNUM *tmp_bn = (BIGNUM *)b;\n            if (bn_wexpand(tmp_bn, al) == NULL)\n                goto err;\n            tmp_bn->d[bl] = 0;\n            bl++;\n            i--;\n        } else if (i == -1 && !BN_get_flags(a, BN_FLG_STATIC_DATA)) {\n            BIGNUM *tmp_bn = (BIGNUM *)a;\n            if (bn_wexpand(tmp_bn, bl) == NULL)\n                goto err;\n            tmp_bn->d[al] = 0;\n            al++;\n            i++;\n        }\n        if (i == 0) {\n            j = BN_num_bits_word((BN_ULONG)al);\n            j = 1 << (j - 1);\n            k = j + j;\n            t = BN_CTX_get(ctx);\n            if (al == j) {\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, al, t->d);\n            } else {\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, al - j, j, t->d);\n            }\n            rr->top = top;\n            goto end;\n        }\n# endif\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    bn_correct_top(rr);\n    if (r != rr)\n        BN_copy(r, rr);\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}', 'void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,\n                      int dna, int dnb, BN_ULONG *t)\n{\n    int n = n2 / 2, c1, c2;\n    int tna = n + dna, tnb = n + dnb;\n    unsigned int neg, zero;\n    BN_ULONG ln, lo, *p;\n# ifdef BN_MUL_COMBA\n#  if 0\n    if (n2 == 4) {\n        bn_mul_comba4(r, a, b);\n        return;\n    }\n#  endif\n    if (n2 == 8 && dna == 0 && dnb == 0) {\n        bn_mul_comba8(r, a, b);\n        return;\n    }\n# endif\n    if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL) {\n        bn_mul_normal(r, a, n2 + dna, b, n2 + dnb);\n        if ((dna + dnb) < 0)\n            memset(&r[2 * n2 + dna + dnb], 0,\n                   sizeof(BN_ULONG) * -(dna + dnb));\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    zero = 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        zero = 1;\n        break;\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        zero = 1;\n        break;\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        zero = 1;\n        break;\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# ifdef BN_MUL_COMBA\n    if (n == 4 && dna == 0 && dnb == 0) {\n        if (!zero)\n            bn_mul_comba4(&(t[n2]), t, &(t[n]));\n        else\n            memset(&t[n2], 0, sizeof(*t) * 8);\n        bn_mul_comba4(r, a, b);\n        bn_mul_comba4(&(r[n2]), &(a[n]), &(b[n]));\n    } else if (n == 8 && dna == 0 && dnb == 0) {\n        if (!zero)\n            bn_mul_comba8(&(t[n2]), t, &(t[n]));\n        else\n            memset(&t[n2], 0, sizeof(*t) * 16);\n        bn_mul_comba8(r, a, b);\n        bn_mul_comba8(&(r[n2]), &(a[n]), &(b[n]));\n    } else\n# endif\n    {\n        p = &(t[n2 * 2]);\n        if (!zero)\n            bn_mul_recursive(&(t[n2]), t, &(t[n]), n, 0, 0, p);\n        else\n            memset(&t[n2], 0, sizeof(*t) * n2);\n        bn_mul_recursive(r, a, b, n, 0, 0, p);\n        bn_mul_recursive(&(r[n2]), &(a[n]), &(b[n]), n, dna, dnb, p);\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}', 'void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb)\n{\n    BN_ULONG *rr;\n    if (na < nb) {\n        int itmp;\n        BN_ULONG *ltmp;\n        itmp = na;\n        na = nb;\n        nb = itmp;\n        ltmp = a;\n        a = b;\n        b = ltmp;\n    }\n    rr = &(r[na]);\n    if (nb <= 0) {\n        (void)bn_mul_words(r, a, na, 0);\n        return;\n    } else\n        rr[0] = bn_mul_words(r, a, na, b[0]);\n    for (;;) {\n        if (--nb <= 0)\n            return;\n        rr[1] = bn_mul_add_words(&(r[1]), a, na, b[1]);\n        if (--nb <= 0)\n            return;\n        rr[2] = bn_mul_add_words(&(r[2]), a, na, b[2]);\n        if (--nb <= 0)\n            return;\n        rr[3] = bn_mul_add_words(&(r[3]), a, na, b[3]);\n        if (--nb <= 0)\n            return;\n        rr[4] = bn_mul_add_words(&(r[4]), a, na, b[4]);\n        rr += 4;\n        r += 4;\n        b += 4;\n    }\n}']