crypto/dsa/dsa_gen.c:669: error: BUFFER_OVERRUN_L3
  Offset: [8, +oo] (⇐ [8, +oo] + [0, +oo]) Size: [0, 8388607] by call to `BN_mod_exp_mont`.
Showing all 23 steps of the trace


crypto/dsa/dsa_gen.c:666:10: Call
664.       if ((mont = BN_MONT_CTX_new()) == NULL)
665.           goto err;
666.       if (!BN_MONT_CTX_set(mont, dsa->p, ctx))
                ^
667.           goto err;
668.       /* Work out g^q mod p */

crypto/bn/bn_mont.c:349:1: Parameter `*mont->RR.d`
  347.   }
  348.   
  349. > int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx)
  350.   {
  351.       int ret = 0;

crypto/dsa/dsa_gen.c:669:10: Call
667.           goto err;
668.       /* Work out g^q mod p */
669.       if (!BN_mod_exp_mont(tmp, dsa->g, dsa->q, dsa->p, ctx, mont))
                ^
670.           goto err;
671.       if (!BN_cmp(tmp, BN_value_one()))

crypto/bn/bn_exp.c:401:1: Parameter `*in_mont->RR.d`
  399.   }
  400.   
  401. > int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
  402.                       const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
  403.   {

crypto/bn/bn_exp.c:413:16: Call
  411.   
  412.       if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) {
  413.           return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont);
                        ^
  414.       }
  415.   

crypto/bn/bn_exp.c:655:1: Parameter `*in_mont->RR.d`
    653.    * http://www.daemonology.net/hyperthreading-considered-harmful/)
    654.    */
    655. > int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
    656.                                 const BIGNUM *m, BN_CTX *ctx,
    657.                                 BN_MONT_CTX *in_mont)

crypto/bn/bn_exp.c:803:10: Call
    801.       } else
    802.   #endif
    803.       if (!BN_to_montgomery(&tmp, BN_value_one(), mont, ctx))
                    ^
    804.           goto err;
    805.   

crypto/bn/bn_lib.c:924:1: Parameter `*mont->RR.d`
      922.   }
      923.   
      924. > int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
      925.                        BN_CTX *ctx)
      926.   {

crypto/bn/bn_lib.c:927:12: Call
      925.                        BN_CTX *ctx)
      926.   {
      927.       return BN_mod_mul_montgomery(r, a, &(mont->RR), mont, ctx);
                        ^
      928.   }
      929.   

crypto/bn/bn_mont.c:128:1: Parameter `*b->d`
        126.   #endif
        127.   
        128. > int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
        129.                             BN_MONT_CTX *mont, BN_CTX *ctx)
        130.   {

crypto/bn/bn_mont.c:158:14: Call
        156.               goto err;
        157.       } else {
        158.           if (!BN_mul(tmp, a, b, ctx))
                            ^
        159.               goto err;
        160.       }

crypto/bn/bn_mul.c:883:1: Parameter `*b->d`
          881.   #endif                          /* BN_RECURSION */
          882.   
          883. > int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
          884.   {
          885.       int ret = 0;

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 `n`
            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:548:10: Call
            546.       /* r=(a[0]-a[1])*(b[1]-b[0]) */
            547.       c1 = bn_cmp_part_words(a, &(a[n]), tna, n - tna);
            548.       c2 = bn_cmp_part_words(&(b[n]), b, tnb, tnb - n);
                            ^
            549.       neg = 0;
            550.       switch (c1 * 3 + c2) {

crypto/bn/bn_lib.c:782:1: Parameter `cl`
              780.    */
              781.   
              782. > int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
              783.   {
              784.       int n, i;

crypto/bn/bn_lib.c:799:12: Call
              797.           }
              798.       }
              799.       return bn_cmp_words(a, b, cl);
                                ^
              800.   }
              801.   

crypto/bn/bn_lib.c:755:1: <Offset trace>
753.   }
754.   
755. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
756.   {
757.       int i;

crypto/bn/bn_lib.c:755:1: Parameter `n`
                753.   }
                754.   
                755. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
                756.   {
                757.       int i;

crypto/bn/bn_lib.c:764:10: Assignment
                762.       if (aa != bb)
                763.           return ((aa > bb) ? 1 : -1);
                764.       for (i = n - 2; i >= 0; i--) {
                                ^
                765.           aa = a[i];
                766.           bb = b[i];

crypto/bn/bn_lib.c:755:1: <Length trace>
753.   }
754.   
755. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
756.   {
757.       int i;

crypto/bn/bn_lib.c:755:1: Parameter `*a`
                753.   }
                754.   
                755. > int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
                756.   {
                757.       int i;

crypto/bn/bn_lib.c:765:14: Array access: Offset: [8, +oo] (⇐ [8, +oo] + [0, +oo]) Size: [0, 8388607] by call to `BN_mod_exp_mont` 
                763.           return ((aa > bb) ? 1 : -1);
                764.       for (i = n - 2; i >= 0; i--) {
                765.           aa = a[i];
                                    ^
                766.           bb = b[i];
                767.           if (aa != bb)

int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
{
    int i;
    BN_ULONG aa, bb;
    aa = a[n - 1];
    bb = b[n - 1];
    if (aa != bb)
        return ((aa > bb) ? 1 : -1);
    for (i = n - 2; i >= 0; i--) {
        aa = a[i];
        bb = b[i];
        if (aa != bb)
            return ((aa > bb) ? 1 : -1);
    }
    return (0);
}
['int dsa_paramgen_check_g(DSA *dsa)\n{\n    BN_CTX *ctx;\n    BIGNUM *tmp;\n    BN_MONT_CTX *mont = NULL;\n    int rv = -1;\n    ctx = BN_CTX_new();\n    if (ctx == NULL)\n        return -1;\n    BN_CTX_start(ctx);\n    if (BN_cmp(dsa->g, BN_value_one()) <= 0)\n        return 0;\n    if (BN_cmp(dsa->g, dsa->p) >= 0)\n        return 0;\n    tmp = BN_CTX_get(ctx);\n    if (!tmp)\n        goto err;\n    if ((mont = BN_MONT_CTX_new()) == NULL)\n        goto err;\n    if (!BN_MONT_CTX_set(mont, dsa->p, ctx))\n        goto err;\n    if (!BN_mod_exp_mont(tmp, dsa->g, dsa->q, dsa->p, ctx, mont))\n        goto err;\n    if (!BN_cmp(tmp, BN_value_one()))\n        rv = 1;\n    else\n        rv = 0;\n err:\n    BN_CTX_end(ctx);\n    BN_MONT_CTX_free(mont);\n    BN_CTX_free(ctx);\n    return rv;\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}', '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        if ((top & 7) == 0)\n            powerbufLen += 2 * top * sizeof(m->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 *np = mont->N.d, *n0 = mont->n0, *np2;\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        if (top & 7)\n            np2 = np;\n        else\n            for (np2 = am.d + top, i = 0; i < top; i++)\n                np2[2 * i] = np[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, np2, 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, np2, 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, np2, 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, np2, 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, np2, n0, top, wvalue);\n            }\n        }\n        ret = bn_from_montgomery(tmp.d, tmp.d, NULL, np2, 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, numPowers))\n            goto err;\n        if (!MOD_EXP_CTIME_COPY_TO_PREBUF(&am, top, powerbuf, 1, numPowers))\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\n                (&tmp, top, powerbuf, 2, numPowers))\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\n                    (&tmp, top, powerbuf, i, numPowers))\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\n            (&tmp, top, powerbuf, wvalue, numPowers))\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\n                (&am, top, powerbuf, wvalue, numPowers))\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_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,\n                     BN_CTX *ctx)\n{\n    return BN_mod_mul_montgomery(r, a, &(mont->RR), mont, ctx);\n}', 'int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,\n                          BN_MONT_CTX *mont, BN_CTX *ctx)\n{\n    BIGNUM *tmp;\n    int ret = 0;\n#if defined(OPENSSL_BN_ASM_MONT) && defined(MONT_WORD)\n    int num = mont->N.top;\n    if (num > 1 && a->top == num && b->top == num) {\n        if (bn_wexpand(r, num) == NULL)\n            return (0);\n        if (bn_mul_mont(r->d, a->d, b->d, mont->N.d, mont->n0, num)) {\n            r->neg = a->neg ^ b->neg;\n            r->top = num;\n            bn_correct_top(r);\n            return (1);\n        }\n    }\n#endif\n    BN_CTX_start(ctx);\n    tmp = BN_CTX_get(ctx);\n    if (tmp == NULL)\n        goto err;\n    bn_check_top(tmp);\n    if (a == b) {\n        if (!BN_sqr(tmp, a, ctx))\n            goto err;\n    } else {\n        if (!BN_mul(tmp, a, b, ctx))\n            goto err;\n    }\n#ifdef MONT_WORD\n    if (!BN_from_montgomery_word(r, tmp, mont))\n        goto err;\n#else\n    if (!BN_from_montgomery(r, tmp, mont, ctx))\n        goto err;\n#endif\n    bn_check_top(r);\n    ret = 1;\n err:\n    BN_CTX_end(ctx);\n    return (ret);\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}', 'int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)\n{\n    int n, i;\n    n = cl - 1;\n    if (dl < 0) {\n        for (i = dl; i < 0; i++) {\n            if (b[n - i] != 0)\n                return -1;\n        }\n    }\n    if (dl > 0) {\n        for (i = dl; i > 0; i--) {\n            if (a[n + i] != 0)\n                return 1;\n        }\n    }\n    return bn_cmp_words(a, b, cl);\n}', 'int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)\n{\n    int i;\n    BN_ULONG aa, bb;\n    aa = a[n - 1];\n    bb = b[n - 1];\n    if (aa != bb)\n        return ((aa > bb) ? 1 : -1);\n    for (i = n - 2; i >= 0; i--) {\n        aa = a[i];\n        bb = b[i];\n        if (aa != bb)\n            return ((aa > bb) ? 1 : -1);\n    }\n    return (0);\n}']