apps/gendsa.c:126: error: BUFFER_OVERRUN_L3
  Offset: [1, +oo] Size: [0, 8388607] by call to `DSA_generate_key`.
Showing all 25 steps of the trace


apps/gendsa.c:125:58: Call
123.   
124.       DSA_get0_pqg(dsa, &p, NULL, NULL);
125.       BIO_printf(bio_err, "Generating DSA key, %d bits\n", BN_num_bits(p));
                                                                ^
126.       if (!DSA_generate_key(dsa))
127.           goto end;

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

crypto/bn/bn_lib.c:918:1: Parameter `a->top`
    916.   }
    917.   
    918. > int BN_is_zero(const BIGNUM *a)
    919.   {
    920.       return a->top == 0;

apps/gendsa.c:126:10: Call
124.       DSA_get0_pqg(dsa, &p, NULL, NULL);
125.       BIO_printf(bio_err, "Generating DSA key, %d bits\n", BN_num_bits(p));
126.       if (!DSA_generate_key(dsa))
                ^
127.           goto end;
128.   

crypto/dsa/dsa_key.c:19:1: Parameter `dsa->g->top`
  17.   static int dsa_builtin_keygen(DSA *dsa);
  18.   
  19. > int DSA_generate_key(DSA *dsa)
  20.   {
  21.       if (dsa->meth->dsa_keygen)

crypto/dsa/dsa_key.c:23:12: Call
  21.       if (dsa->meth->dsa_keygen)
  22.           return dsa->meth->dsa_keygen(dsa);
  23.       return dsa_builtin_keygen(dsa);
                   ^
  24.   }
  25.   

crypto/dsa/dsa_key.c:26:1: Parameter `dsa->g->top`
    24.   }
    25.   
    26. > static int dsa_builtin_keygen(DSA *dsa)
    27.   {
    28.       int ok = 0;

crypto/dsa/dsa_key.c:65:14: Call
    63.           }
    64.   
    65.           if (!BN_mod_exp(pub_key, dsa->g, prk, dsa->p, ctx)) {
                       ^
    66.               BN_free(local_prk);
    67.               goto err;

crypto/bn/bn_exp.c:90:1: Parameter `a->top`
      88.   }
      89.   
      90. > int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m,
      91.                  BN_CTX *ctx)
      92.   {

crypto/bn/bn_exp.c:150:19: Call
      148.           } else
      149.   # endif
      150.               ret = BN_mod_exp_mont(r, a, p, m, ctx, NULL);
                               ^
      151.       } else
      152.   #endif

crypto/bn/bn_exp.c:300:1: Parameter `a->top`
        298.   }
        299.   
        300. > int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
        301.                       const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
        302.   {

crypto/bn/bn_exp.c:312:16: Call
        310.   
        311.       if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) {
        312.           return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont);
                              ^
        313.       }
        314.   

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:745:14: Call
          743.       /* prepare a^1 in Montgomery domain */
          744.       if (a->neg || BN_ucmp(a, m) >= 0) {
          745.           if (!BN_mod(&am, a, m, ctx))
                              ^
          746.               goto err;
          747.           if (!BN_to_montgomery(&am, &am, mont, ctx))

crypto/bn/bn_div.c:140:1: Parameter `num->top`
            138.    * If 'dv' or 'rm' is NULL, the respective value is not returned.
            139.    */
            140. > int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
            141.              BN_CTX *ctx)
            142.   {

crypto/bn/bn_div.c:210:11: Call
            208.       sdiv->neg = 0;
            209.       norm_shift += BN_BITS2;
            210.       if (!(BN_lshift(snum, num, norm_shift)))
                             ^
            211.           goto err;
            212.       snum->neg = 0;

crypto/bn/bn_shift.c:81:1: <Offset trace>
79.   }
80.   
81. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
82.   {
83.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:81:1: Parameter `n`
              79.   }
              80.   
              81. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
              82.   {
              83.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:96:5: Assignment
              94.   
              95.       r->neg = a->neg;
              96.       nw = n / BN_BITS2;
                        ^
              97.       if (bn_wexpand(r, a->top + nw + 1) == NULL)
              98.           return (0);

crypto/bn/bn_shift.c:81:1: <Length trace>
79.   }
80.   
81. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
82.   {
83.       int i, nw, lb, rb;

crypto/bn/bn_shift.c:81:1: Parameter `*r->d`
              79.   }
              80.   
              81. > int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
              82.   {
              83.       int i, nw, lb, rb;

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

crypto/bn/bn_lib.c:1014:1: Parameter `*a->d`
                1012.   }
                1013.   
                1014. > BIGNUM *bn_wexpand(BIGNUM *a, int words)
                1015.   {
                1016.       return (words <= a->dmax) ? a : bn_expand2(a, words);

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

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

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;
    }
    r->neg = a->neg;
    nw = n / BN_BITS2;
    if (bn_wexpand(r, a->top + nw + 1) == NULL)
        return (0);
    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);
}
['int gendsa_main(int argc, char **argv)\n{\n    BIO *out = NULL, *in = NULL;\n    DSA *dsa = NULL;\n    const EVP_CIPHER *enc = NULL;\n    char *inrand = NULL, *dsaparams = NULL;\n    char *outfile = NULL, *passoutarg = NULL, *passout = NULL, *prog;\n    OPTION_CHOICE o;\n    int ret = 1, private = 0;\n    BIGNUM *p = NULL;\n    prog = opt_init(argc, argv, gendsa_options);\n    while ((o = opt_next()) != OPT_EOF) {\n        switch (o) {\n        case OPT_EOF:\n        case OPT_ERR:\n opthelp:\n            BIO_printf(bio_err, "%s: Use -help for summary.\\n", prog);\n            goto end;\n        case OPT_HELP:\n            ret = 0;\n            opt_help(gendsa_options);\n            goto end;\n        case OPT_OUT:\n            outfile = opt_arg();\n            break;\n        case OPT_PASSOUT:\n            passoutarg = opt_arg();\n            break;\n        case OPT_ENGINE:\n            (void)setup_engine(opt_arg(), 0);\n            break;\n        case OPT_RAND:\n            inrand = opt_arg();\n            break;\n        case OPT_CIPHER:\n            if (!opt_cipher(opt_unknown(), &enc))\n                goto end;\n            break;\n        }\n    }\n    argc = opt_num_rest();\n    argv = opt_rest();\n    private = 1;\n    if (argc != 1)\n        goto opthelp;\n    dsaparams = *argv;\n    if (!app_passwd(NULL, passoutarg, NULL, &passout)) {\n        BIO_printf(bio_err, "Error getting password\\n");\n        goto end;\n    }\n    in = bio_open_default(dsaparams, \'r\', FORMAT_PEM);\n    if (in == NULL)\n        goto end2;\n    if ((dsa = PEM_read_bio_DSAparams(in, NULL, NULL, NULL)) == NULL) {\n        BIO_printf(bio_err, "unable to load DSA parameter file\\n");\n        goto end;\n    }\n    BIO_free(in);\n    in = NULL;\n    out = bio_open_owner(outfile, FORMAT_PEM, private);\n    if (out == NULL)\n        goto end2;\n    if (!app_RAND_load_file(NULL, 1) && inrand == NULL) {\n        BIO_printf(bio_err,\n                   "warning, not much extra random data, consider using the -rand option\\n");\n    }\n    if (inrand != NULL)\n        BIO_printf(bio_err, "%ld semi-random bytes loaded\\n",\n                   app_RAND_load_files(inrand));\n    DSA_get0_pqg(dsa, &p, NULL, NULL);\n    BIO_printf(bio_err, "Generating DSA key, %d bits\\n", BN_num_bits(p));\n    if (!DSA_generate_key(dsa))\n        goto end;\n    app_RAND_write_file(NULL);\n    assert(private);\n    if (!PEM_write_bio_DSAPrivateKey(out, dsa, enc, NULL, 0, NULL, passout))\n        goto end;\n    ret = 0;\n end:\n    if (ret != 0)\n        ERR_print_errors(bio_err);\n end2:\n    BIO_free(in);\n    BIO_free_all(out);\n    DSA_free(dsa);\n    OPENSSL_free(passout);\n    return (ret);\n}', 'int BN_num_bits(const BIGNUM *a)\n{\n    int i = a->top - 1;\n    bn_check_top(a);\n    if (BN_is_zero(a))\n        return 0;\n    return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));\n}', 'int BN_is_zero(const BIGNUM *a)\n{\n    return a->top == 0;\n}', 'int DSA_generate_key(DSA *dsa)\n{\n    if (dsa->meth->dsa_keygen)\n        return dsa->meth->dsa_keygen(dsa);\n    return dsa_builtin_keygen(dsa);\n}', 'static int dsa_builtin_keygen(DSA *dsa)\n{\n    int ok = 0;\n    BN_CTX *ctx = NULL;\n    BIGNUM *pub_key = NULL, *priv_key = NULL;\n    if ((ctx = BN_CTX_new()) == NULL)\n        goto err;\n    if (dsa->priv_key == NULL) {\n        if ((priv_key = BN_secure_new()) == NULL)\n            goto err;\n    } else\n        priv_key = dsa->priv_key;\n    do\n        if (!BN_rand_range(priv_key, dsa->q))\n            goto err;\n    while (BN_is_zero(priv_key)) ;\n    if (dsa->pub_key == NULL) {\n        if ((pub_key = BN_new()) == NULL)\n            goto err;\n    } else\n        pub_key = dsa->pub_key;\n    {\n        BIGNUM *local_prk = NULL;\n        BIGNUM *prk;\n        if ((dsa->flags & DSA_FLAG_NO_EXP_CONSTTIME) == 0) {\n            local_prk = prk = BN_new();\n            if (local_prk == NULL)\n                goto err;\n            BN_with_flags(prk, priv_key, BN_FLG_CONSTTIME);\n        } else {\n            prk = priv_key;\n        }\n        if (!BN_mod_exp(pub_key, dsa->g, prk, dsa->p, ctx)) {\n            BN_free(local_prk);\n            goto err;\n        }\n        BN_free(local_prk);\n    }\n    dsa->priv_key = priv_key;\n    dsa->pub_key = pub_key;\n    ok = 1;\n err:\n    if (pub_key != dsa->pub_key)\n        BN_free(pub_key);\n    if (priv_key != dsa->priv_key)\n        BN_free(priv_key);\n    BN_CTX_free(ctx);\n    return (ok);\n}', 'int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m,\n               BN_CTX *ctx)\n{\n    int ret;\n    bn_check_top(a);\n    bn_check_top(p);\n    bn_check_top(m);\n#define MONT_MUL_MOD\n#define MONT_EXP_WORD\n#define RECP_MUL_MOD\n#ifdef MONT_MUL_MOD\n    if (BN_is_odd(m)) {\n# ifdef MONT_EXP_WORD\n        if (a->top == 1 && !a->neg\n            && (BN_get_flags(p, BN_FLG_CONSTTIME) == 0)) {\n            BN_ULONG A = a->d[0];\n            ret = BN_mod_exp_mont_word(r, A, p, m, ctx, NULL);\n        } else\n# endif\n            ret = BN_mod_exp_mont(r, a, p, m, ctx, NULL);\n    } else\n#endif\n#ifdef RECP_MUL_MOD\n    {\n        ret = BN_mod_exp_recp(r, a, p, m, ctx);\n    }\n#else\n    {\n        ret = BN_mod_exp_simple(r, a, p, m, ctx);\n    }\n#endif\n    bn_check_top(r);\n    return (ret);\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        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_is_one(m)) {\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 (!d || !r || !val[0])\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_is_zero(aa)) {\n        BN_zero(rr);\n        ret = 1;\n        goto err;\n    }\n    if (!BN_to_montgomery(val[0], aa, mont, ctx))\n        goto err;\n    window = BN_window_bits_for_exponent_size(bits);\n    if (window > 1) {\n        if (!BN_mod_mul_montgomery(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_mod_mul_montgomery(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        bn_correct_top(r);\n    } else\n#endif\n    if (!BN_to_montgomery(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_mod_mul_montgomery(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_mod_mul_montgomery(r, r, r, mont, ctx))\n                    goto err;\n            }\n        if (!BN_mod_mul_montgomery(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;\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 = BN_num_bits(p);\n    if (bits == 0) {\n        if (BN_is_one(m)) {\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 ((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#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_montgomery(&tmp, BN_value_one(), mont, ctx))\n        goto err;\n    if (a->neg || BN_ucmp(a, m) >= 0) {\n        if (!BN_mod(&am, a, m, ctx))\n            goto err;\n        if (!BN_to_montgomery(&am, &am, mont, ctx))\n            goto err;\n    } else if (!BN_to_montgomery(&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        bits--;\n        for (wvalue = 0, i = bits % 5; i >= 0; i--, bits--)\n            wvalue = (wvalue << 1) + BN_is_bit_set(p, bits);\n        bn_gather5_t4(tmp.d, top, powerbuf, wvalue);\n        while (bits >= 0) {\n            if (bits < stride)\n                stride = bits + 1;\n            bits -= stride;\n            wvalue = bn_get_bits(p, bits + 1);\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        bits--;\n        for (wvalue = 0, i = bits % 5; i >= 0; i--, bits--)\n            wvalue = (wvalue << 1) + BN_is_bit_set(p, bits);\n        bn_gather5(tmp.d, top, powerbuf, wvalue);\n        if (top & 7)\n            while (bits >= 0) {\n                for (wvalue = 0, i = 0; i < 5; i++, bits--)\n                    wvalue = (wvalue << 1) + BN_is_bit_set(p, bits);\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                                    wvalue);\n        } else {\n            while (bits >= 0) {\n                wvalue = bn_get_bits5(p->d, bits - 4);\n                bits -= 5;\n                bn_power5(tmp.d, tmp.d, powerbuf, np, n0, top, wvalue);\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_mod_mul_montgomery(&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_mod_mul_montgomery(&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        bits--;\n        for (wvalue = 0, i = bits % window; i >= 0; i--, bits--)\n            wvalue = (wvalue << 1) + BN_is_bit_set(p, bits);\n        if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(&tmp, top, powerbuf, wvalue,\n                                            window))\n            goto err;\n        while (bits >= 0) {\n            wvalue = 0;\n            for (i = 0; i < window; i++, bits--) {\n                if (!BN_mod_mul_montgomery(&tmp, &tmp, &tmp, mont, ctx))\n                    goto err;\n                wvalue = (wvalue << 1) + BN_is_bit_set(p, bits);\n            }\n            if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(&am, top, powerbuf, wvalue,\n                                                window))\n                goto err;\n            if (!BN_mod_mul_montgomery(&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_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    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    r->neg = a->neg;\n    nw = n / BN_BITS2;\n    if (bn_wexpand(r, a->top + nw + 1) == NULL)\n        return (0);\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}']