crypto/rsa/rsa_chk.c:163: error: BUFFER_OVERRUN_L3
  Offset: [3, +oo] (⇐ [0, +oo] + 3) Size: [0, 8388607] by call to `BN_div`.
Showing all 25 steps of the trace


crypto/rsa/rsa_chk.c:85:9: Call
83.   
84.       /* p prime? */
85.       r = BN_is_prime_ex(key->p, BN_prime_checks, NULL, cb);
              ^
86.       if (r != 1) {
87.           ret = r;

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

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

crypto/bn/bn_mont.c:357:15: Call
      355.   
      356.       BN_CTX_start(ctx);
      357.       if ((Ri = BN_CTX_get(ctx)) == NULL)
                           ^
      358.           goto err;
      359.       R = &(mont->RR);            /* grab RR as a temp */

crypto/bn/bn_ctx.c:283:5: Call
        281.       }
        282.       /* OK, make sure the returned bignum is "zero" */
        283.       BN_zero(ret);
                   ^
        284.       ctx->used++;
        285.       CTXDBG_RET(ctx, ret);

crypto/bn/bn_lib.c:529:1: Parameter `*a->d`
          527.   }
          528.   
          529. > int BN_set_word(BIGNUM *a, BN_ULONG w)
          530.   {
          531.       bn_check_top(a);

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

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

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

crypto/bn/bn_gcd.c:236:1: Parameter `*in->d`
          234.   }
          235.   
          236. > BIGNUM *int_bn_mod_inverse(BIGNUM *in,
          237.                              const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx,
          238.                              int *pnoinv)

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

crypto/bn/bn_lib.c:428:1: Parameter `*a->d`
            426.   }
            427.   
            428. > BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
            429.   {
            430.       int i;

crypto/rsa/rsa_chk.c:163:13: Call
161.           }
162.   
163.           r = BN_mod(j, key->d, i, ctx);
                   ^
164.           if (!r) {
165.               ret = -1;

crypto/bn/bn_div.c:188:1: Parameter `*rm->d`
  186.    * If 'dv' or 'rm' is NULL, the respective value is not returned.
  187.    */
  188. > int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
  189.              BN_CTX *ctx)
  190.   {

crypto/bn/bn_div.c:233:17: Call
  231.       if (!no_branch && BN_ucmp(num, divisor) < 0) {
  232.           if (rm != NULL) {
  233.               if (BN_copy(rm, num) == NULL)
                         ^
  234.                   return (0);
  235.           }

crypto/bn/bn_lib.c:428:1: Parameter `*a->d`
    426.   }
    427.   
    428. > BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
    429.   {
    430.       int i;

crypto/bn/bn_lib.c:438:9: Call
    436.       if (a == b)
    437.           return (a);
    438.       if (bn_wexpand(a, b->top) == NULL)
                   ^
    439.           return (NULL);
    440.   

crypto/bn/bn_lib.c:994:1: Parameter `*a->d`
      992.   }
      993.   
      994. > BIGNUM *bn_wexpand(BIGNUM *a, int words)
      995.   {
      996.       return (words <= a->dmax) ? a : bn_expand2(a, words);

crypto/bn/bn_lib.c:996:37: Call
      994.   BIGNUM *bn_wexpand(BIGNUM *a, int words)
      995.   {
      996.       return (words <= a->dmax) ? a : bn_expand2(a, words);
                                                 ^
      997.   }
      998.   

crypto/bn/bn_lib.c:389:1: Parameter `*b->d`
        387.    */
        388.   
        389. > BIGNUM *bn_expand2(BIGNUM *b, int words)
        390.   {
        391.       bn_check_top(b);

crypto/bn/bn_lib.c:394:23: Call
        392.   
        393.       if (words > b->dmax) {
        394.           BN_ULONG *a = bn_expand_internal(b, words);
                                     ^
        395.           if (!a)
        396.               return NULL;

crypto/bn/bn_lib.c:299:1: <Length trace>
297.   /* This is used by bn_expand2() */
298.   /* The caller MUST check that words > b->dmax before calling this */
299. > static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
300.   {
301.       BN_ULONG *A, *a = NULL;

crypto/bn/bn_lib.c:299:1: Parameter `*b->d`
          297.   /* This is used by bn_expand2() */
          298.   /* The caller MUST check that words > b->dmax before calling this */
          299. > static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
          300.   {
          301.       BN_ULONG *A, *a = NULL;

crypto/bn/bn_lib.c:334:5: Assignment
          332.   
          333.   #if 1
          334.       B = b->d;
                     ^
          335.       /* Check if the previous number needs to be copied */
          336.       if (B != NULL) {

crypto/bn/bn_lib.c:351:18: Array access: Offset: [3, +oo] (⇐ [0, +oo] + 3) Size: [0, 8388607] by call to `BN_div` 
          349.               a1 = B[1];
          350.               a2 = B[2];
          351.               a3 = B[3];
                                  ^
          352.               A[0] = a0;
          353.               A[1] = a1;

static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
{
    BN_ULONG *A, *a = NULL;
    const BN_ULONG *B;
    int i;
    bn_check_top(b);
    if (words > (INT_MAX / (4 * BN_BITS2))) {
        BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG);
        return NULL;
    }
    if (BN_get_flags(b, BN_FLG_STATIC_DATA)) {
        BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
        return (NULL);
    }
    if (BN_get_flags(b,BN_FLG_SECURE))
        a = A = OPENSSL_secure_malloc(words * sizeof(*a));
    else
        a = A = OPENSSL_malloc(words * sizeof(*a));
    if (A == NULL) {
        BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE);
        return (NULL);
    }
#ifdef PURIFY
    memset(a, 0, sizeof(*a) * words);
#endif
#if 1
    B = b->d;
    if (B != NULL) {
        for (i = b->top >> 2; i > 0; i--, A += 4, B += 4) {
            BN_ULONG a0, a1, a2, a3;
            a0 = B[0];
            a1 = B[1];
            a2 = B[2];
            a3 = B[3];
            A[0] = a0;
            A[1] = a1;
            A[2] = a2;
            A[3] = a3;
        }
        switch (b->top & 3) {
        case 3:
            A[2] = B[2];
        case 2:
            A[1] = B[1];
        case 1:
            A[0] = B[0];
        case 0:
            ;
        }
    }
#else
    memset(A, 0, sizeof(*A) * words);
    memcpy(A, b->d, sizeof(b->d[0]) * b->top);
#endif
    return (a);
}
['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_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    res->neg = (num->neg ^ divisor->neg);\n    if (!bn_wexpand(res, (loop + 1)))\n        goto err;\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    if (res->top == 0)\n        res->neg = 0;\n    else\n        resp--;\n    for (i = 0; i < loop - 1; i++, wnump--, resp--) {\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#    ifdef BN_DEBUG_LEVITTE\n            fprintf(stderr, "DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\\\nX) -> 0x%08X\\n", n0, n1, d0, q);\n#    endif\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#   ifdef BN_DEBUG_LEVITTE\n            fprintf(stderr, "DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\\\nX) -> 0x%08X\\n", n0, n1, d0, q);\n#   endif\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 = 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}', 'BIGNUM *bn_wexpand(BIGNUM *a, int words)\n{\n    return (words <= a->dmax) ? a : bn_expand2(a, words);\n}', 'BIGNUM *bn_expand2(BIGNUM *b, int words)\n{\n    bn_check_top(b);\n    if (words > b->dmax) {\n        BN_ULONG *a = bn_expand_internal(b, words);\n        if (!a)\n            return NULL;\n        if (b->d) {\n            OPENSSL_cleanse(b->d, b->dmax * sizeof(b->d[0]));\n            bn_free_d(b);\n        }\n        b->d = a;\n        b->dmax = words;\n    }\n    bn_check_top(b);\n    return b;\n}', 'static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)\n{\n    BN_ULONG *A, *a = NULL;\n    const BN_ULONG *B;\n    int i;\n    bn_check_top(b);\n    if (words > (INT_MAX / (4 * BN_BITS2))) {\n        BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG);\n        return NULL;\n    }\n    if (BN_get_flags(b, BN_FLG_STATIC_DATA)) {\n        BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);\n        return (NULL);\n    }\n    if (BN_get_flags(b,BN_FLG_SECURE))\n        a = A = OPENSSL_secure_malloc(words * sizeof(*a));\n    else\n        a = A = OPENSSL_malloc(words * sizeof(*a));\n    if (A == NULL) {\n        BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE);\n        return (NULL);\n    }\n#ifdef PURIFY\n    memset(a, 0, sizeof(*a) * words);\n#endif\n#if 1\n    B = b->d;\n    if (B != NULL) {\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        }\n    }\n#else\n    memset(A, 0, sizeof(*A) * words);\n    memcpy(A, b->d, sizeof(b->d[0]) * b->top);\n#endif\n    return (a);\n}']