crypto/bn/bn_sqrt.c:148: error: INTEGER_OVERFLOW_L2
  ([0, 6+max(0, `ctx->stack.depth`)] - 1):unsigned32 by call to `BN_mod_exp`.
Showing all 37 steps of the trace


crypto/bn/bn_sqrt.c:63:1: Parameter `ctx->stack.depth`
61.   #include "bn_lcl.h"
62.   
63. > BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
64.   /*
65.    * Returns 'ret' such that ret^2 == a (mod p), using the Tonelli/Shanks

crypto/bn/bn_sqrt.c:109:5: Call
107.       }
108.   
109.       BN_CTX_start(ctx);
           ^
110.       A = BN_CTX_get(ctx);
111.       b = BN_CTX_get(ctx);

crypto/bn/bn_ctx.c:236:1: Parameter `ctx->stack.depth`
  234.   }
  235.   
  236. > void BN_CTX_start(BN_CTX *ctx)
  237.   {
  238.       CTXDBG_ENTRY("BN_CTX_start", ctx);

crypto/bn/bn_sqrt.c:125:10: Call
123.   
124.       /* A = a mod p */
125.       if (!BN_nnmod(A, a, p, ctx))
                ^
126.           goto end;
127.   

crypto/bn/bn_mod.c:119:1: Parameter `ctx->stack.depth`
  117.   #include "bn_lcl.h"
  118.   
  119. > int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
  120.   {
  121.       /*

crypto/bn/bn_mod.c:126:11: Call
  124.        */
  125.   
  126.       if (!(BN_mod(r, m, d, ctx)))
                   ^
  127.           return 0;
  128.       if (!r->neg)

crypto/bn/bn_div.c:189:1: Parameter `ctx->stack.depth`
    187.    * If 'dv' or 'rm' is NULL, the respective value is not returned.
    188.    */
    189. > int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
    190.              BN_CTX *ctx)
    191.   {

crypto/bn/bn_sqrt.c:148:14: Call
146.           if (!BN_add_word(q, 1))
147.               goto end;
148.           if (!BN_mod_exp(ret, A, q, p, ctx))
                    ^
149.               goto end;
150.           err = 0;

crypto/bn/bn_exp.c:191:1: Parameter `ctx->stack.depth`
  189.   }
  190.   
  191. > int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m,
  192.                  BN_CTX *ctx)
  193.   {

crypto/bn/bn_exp.c:248:19: Call
  246.               && (BN_get_flags(p, BN_FLG_CONSTTIME) == 0)) {
  247.               BN_ULONG A = a->d[0];
  248.               ret = BN_mod_exp_mont_word(r, A, p, m, ctx, NULL);
                           ^
  249.           } else
  250.   # endif

crypto/bn/bn_exp.c:1135:1: Parameter `ctx->stack.depth`
    1133.   }
    1134.   
    1135. > int BN_mod_exp_mont_word(BIGNUM *rr, BN_ULONG a, const BIGNUM *p,
    1136.                            const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
    1137.   {

crypto/bn/bn_exp.c:1193:5: Call
    1191.       }
    1192.   
    1193.       BN_CTX_start(ctx);
                ^
    1194.       d = BN_CTX_get(ctx);
    1195.       r = BN_CTX_get(ctx);

crypto/bn/bn_ctx.c:236:1: Parameter `ctx->stack.depth`
      234.   }
      235.   
      236. > void BN_CTX_start(BN_CTX *ctx)
      237.   {
      238.       CTXDBG_ENTRY("BN_CTX_start", ctx);

crypto/bn/bn_exp.c:1205:14: Call
    1203.           if ((mont = BN_MONT_CTX_new()) == NULL)
    1204.               goto err;
    1205.           if (!BN_MONT_CTX_set(mont, m, ctx))
                         ^
    1206.               goto err;
    1207.       }

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

crypto/bn/bn_mont.c:357:5: Call
      355.           return 0;
      356.   
      357.       BN_CTX_start(ctx);
                 ^
      358.       if ((Ri = BN_CTX_get(ctx)) == NULL)
      359.           goto err;

crypto/bn/bn_ctx.c:236:1: Parameter `ctx->stack.depth`
        234.   }
        235.   
        236. > void BN_CTX_start(BN_CTX *ctx)
        237.   {
        238.       CTXDBG_ENTRY("BN_CTX_start", ctx);

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

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

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

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

crypto/bn/bn_gcd.c:250:16: Call
          248.       if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0)
          249.           || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0)) {
          250.           return BN_mod_inverse_no_branch(in, a, n, ctx);
                                ^
          251.       }
          252.   

crypto/bn/bn_gcd.c:557:1: Parameter `ctx->stack.depth`
            555.    * not contain branches that may leak sensitive information.
            556.    */
            557. > static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
            558.                                           const BIGNUM *a, const BIGNUM *n,
            559.                                           BN_CTX *ctx)

crypto/bn/bn_gcd.c:568:5: Call
            566.       bn_check_top(n);
            567.   
            568.       BN_CTX_start(ctx);
                       ^
            569.       A = BN_CTX_get(ctx);
            570.       B = BN_CTX_get(ctx);

crypto/bn/bn_ctx.c:236:1: Parameter `ctx->stack.depth`
              234.   }
              235.   
              236. > void BN_CTX_start(BN_CTX *ctx)
              237.   {
              238.       CTXDBG_ENTRY("BN_CTX_start", ctx);

crypto/bn/bn_gcd.c:603:18: Call
            601.               BN_init(&local_B);
            602.               BN_with_flags(&local_B, B, BN_FLG_CONSTTIME);
            603.               if (!BN_nnmod(B, &local_B, A, ctx))
                                    ^
            604.                   goto err;
            605.               /* Ensure local_B goes out of scope before any further use of B */

crypto/bn/bn_mod.c:119:1: Parameter `ctx->stack.depth`
              117.   #include "bn_lcl.h"
              118.   
              119. > int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
              120.   {
              121.       /*

crypto/bn/bn_mod.c:126:11: Call
              124.        */
              125.   
              126.       if (!(BN_mod(r, m, d, ctx)))
                               ^
              127.           return 0;
              128.       if (!r->neg)

crypto/bn/bn_div.c:189:1: Parameter `ctx->stack.depth`
                187.    * If 'dv' or 'rm' is NULL, the respective value is not returned.
                188.    */
                189. > int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
                190.              BN_CTX *ctx)
                191.   {

crypto/bn/bn_div.c:242:5: Call
                240.       }
                241.   
                242.       BN_CTX_start(ctx);
                           ^
                243.       tmp = BN_CTX_get(ctx);
                244.       snum = BN_CTX_get(ctx);

crypto/bn/bn_ctx.c:236:1: Parameter `ctx->stack.depth`
                  234.   }
                  235.   
                  236. > void BN_CTX_start(BN_CTX *ctx)
                  237.   {
                  238.       CTXDBG_ENTRY("BN_CTX_start", ctx);

crypto/bn/bn_div.c:469:5: Call
                467.       if (no_branch)
                468.           bn_correct_top(res);
                469.       BN_CTX_end(ctx);
                           ^
                470.       return (1);
                471.    err:

crypto/bn/bn_ctx.c:250:1: Parameter `ctx->stack.depth`
                  248.   }
                  249.   
                  250. > void BN_CTX_end(BN_CTX *ctx)
                  251.   {
                  252.       CTXDBG_ENTRY("BN_CTX_end", ctx);

crypto/bn/bn_ctx.c:256:27: Call
                  254.           ctx->err_stack--;
                  255.       else {
                  256.           unsigned int fp = BN_STACK_pop(&ctx->stack);
                                                   ^
                  257.           /* Does this stack frame have anything to release? */
                  258.           if (fp < ctx->used)

crypto/bn/bn_ctx.c:326:1: <LHS trace>
324.   }
325.   
326. > static unsigned int BN_STACK_pop(BN_STACK *st)
327.   {
328.       return st->indexes[--(st->depth)];

crypto/bn/bn_ctx.c:326:1: Parameter `st->depth`
                    324.   }
                    325.   
                    326. > static unsigned int BN_STACK_pop(BN_STACK *st)
                    327.   {
                    328.       return st->indexes[--(st->depth)];

crypto/bn/bn_ctx.c:328:12: Binary operation: ([0, 6+max(0, ctx->stack.depth)] - 1):unsigned32 by call to `BN_mod_exp` 
                    326.   static unsigned int BN_STACK_pop(BN_STACK *st)
                    327.   {
                    328.       return st->indexes[--(st->depth)];
                                      ^
                    329.   }
                    330.   

static unsigned int BN_STACK_pop(BN_STACK *st)
{
    return st->indexes[--(st->depth)];
}
['BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)\n{\n    BIGNUM *ret = in;\n    int err = 1;\n    int r;\n    BIGNUM *A, *b, *q, *t, *x, *y;\n    int e, i, j;\n    if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) {\n        if (BN_abs_is_word(p, 2)) {\n            if (ret == NULL)\n                ret = BN_new();\n            if (ret == NULL)\n                goto end;\n            if (!BN_set_word(ret, BN_is_bit_set(a, 0))) {\n                if (ret != in)\n                    BN_free(ret);\n                return NULL;\n            }\n            bn_check_top(ret);\n            return ret;\n        }\n        BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);\n        return (NULL);\n    }\n    if (BN_is_zero(a) || BN_is_one(a)) {\n        if (ret == NULL)\n            ret = BN_new();\n        if (ret == NULL)\n            goto end;\n        if (!BN_set_word(ret, BN_is_one(a))) {\n            if (ret != in)\n                BN_free(ret);\n            return NULL;\n        }\n        bn_check_top(ret);\n        return ret;\n    }\n    BN_CTX_start(ctx);\n    A = BN_CTX_get(ctx);\n    b = BN_CTX_get(ctx);\n    q = BN_CTX_get(ctx);\n    t = BN_CTX_get(ctx);\n    x = BN_CTX_get(ctx);\n    y = BN_CTX_get(ctx);\n    if (y == NULL)\n        goto end;\n    if (ret == NULL)\n        ret = BN_new();\n    if (ret == NULL)\n        goto end;\n    if (!BN_nnmod(A, a, p, ctx))\n        goto end;\n    e = 1;\n    while (!BN_is_bit_set(p, e))\n        e++;\n    if (e == 1) {\n        if (!BN_rshift(q, p, 2))\n            goto end;\n        q->neg = 0;\n        if (!BN_add_word(q, 1))\n            goto end;\n        if (!BN_mod_exp(ret, A, q, p, ctx))\n            goto end;\n        err = 0;\n        goto vrfy;\n    }\n    if (e == 2) {\n        if (!BN_mod_lshift1_quick(t, A, p))\n            goto end;\n        if (!BN_rshift(q, p, 3))\n            goto end;\n        q->neg = 0;\n        if (!BN_mod_exp(b, t, q, p, ctx))\n            goto end;\n        if (!BN_mod_sqr(y, b, p, ctx))\n            goto end;\n        if (!BN_mod_mul(t, t, y, p, ctx))\n            goto end;\n        if (!BN_sub_word(t, 1))\n            goto end;\n        if (!BN_mod_mul(x, A, b, p, ctx))\n            goto end;\n        if (!BN_mod_mul(x, x, t, p, ctx))\n            goto end;\n        if (!BN_copy(ret, x))\n            goto end;\n        err = 0;\n        goto vrfy;\n    }\n    if (!BN_copy(q, p))\n        goto end;\n    q->neg = 0;\n    i = 2;\n    do {\n        if (i < 22) {\n            if (!BN_set_word(y, i))\n                goto end;\n        } else {\n            if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0))\n                goto end;\n            if (BN_ucmp(y, p) >= 0) {\n                if (!(p->neg ? BN_add : BN_sub) (y, y, p))\n                    goto end;\n            }\n            if (BN_is_zero(y))\n                if (!BN_set_word(y, i))\n                    goto end;\n        }\n        r = BN_kronecker(y, q, ctx);\n        if (r < -1)\n            goto end;\n        if (r == 0) {\n            BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);\n            goto end;\n        }\n    }\n    while (r == 1 && ++i < 82);\n    if (r != -1) {\n        BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS);\n        goto end;\n    }\n    if (!BN_rshift(q, q, e))\n        goto end;\n    if (!BN_mod_exp(y, y, q, p, ctx))\n        goto end;\n    if (BN_is_one(y)) {\n        BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);\n        goto end;\n    }\n    if (!BN_rshift1(t, q))\n        goto end;\n    if (BN_is_zero(t)) {\n        if (!BN_nnmod(t, A, p, ctx))\n            goto end;\n        if (BN_is_zero(t)) {\n            BN_zero(ret);\n            err = 0;\n            goto end;\n        } else if (!BN_one(x))\n            goto end;\n    } else {\n        if (!BN_mod_exp(x, A, t, p, ctx))\n            goto end;\n        if (BN_is_zero(x)) {\n            BN_zero(ret);\n            err = 0;\n            goto end;\n        }\n    }\n    if (!BN_mod_sqr(b, x, p, ctx))\n        goto end;\n    if (!BN_mod_mul(b, b, A, p, ctx))\n        goto end;\n    if (!BN_mod_mul(x, x, A, p, ctx))\n        goto end;\n    while (1) {\n        if (BN_is_one(b)) {\n            if (!BN_copy(ret, x))\n                goto end;\n            err = 0;\n            goto vrfy;\n        }\n        i = 1;\n        if (!BN_mod_sqr(t, b, p, ctx))\n            goto end;\n        while (!BN_is_one(t)) {\n            i++;\n            if (i == e) {\n                BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);\n                goto end;\n            }\n            if (!BN_mod_mul(t, t, t, p, ctx))\n                goto end;\n        }\n        if (!BN_copy(t, y))\n            goto end;\n        for (j = e - i - 1; j > 0; j--) {\n            if (!BN_mod_sqr(t, t, p, ctx))\n                goto end;\n        }\n        if (!BN_mod_mul(y, t, t, p, ctx))\n            goto end;\n        if (!BN_mod_mul(x, x, t, p, ctx))\n            goto end;\n        if (!BN_mod_mul(b, b, y, p, ctx))\n            goto end;\n        e = i;\n    }\n vrfy:\n    if (!err) {\n        if (!BN_mod_sqr(x, ret, p, ctx))\n            err = 1;\n        if (!err && 0 != BN_cmp(x, A)) {\n            BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);\n            err = 1;\n        }\n    }\n end:\n    if (err) {\n        if (ret != in)\n            BN_clear_free(ret);\n        ret = NULL;\n    }\n    BN_CTX_end(ctx);\n    bn_check_top(ret);\n    return ret;\n}', 'void BN_CTX_start(BN_CTX *ctx)\n{\n    CTXDBG_ENTRY("BN_CTX_start", ctx);\n    if (ctx->err_stack || ctx->too_many)\n        ctx->err_stack++;\n    else if (!BN_STACK_push(&ctx->stack, ctx->used)) {\n        BNerr(BN_F_BN_CTX_START, BN_R_TOO_MANY_TEMPORARY_VARIABLES);\n        ctx->err_stack++;\n    }\n    CTXDBG_EXIT(ctx);\n}', 'int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)\n{\n    if (!(BN_mod(r, m, d, ctx)))\n        return 0;\n    if (!r->neg)\n        return 1;\n    return (d->neg ? BN_sub : BN_add) (r, r, d);\n}', 'int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,\n           BN_CTX *ctx)\n{\n    int norm_shift, i, loop;\n    BIGNUM *tmp, wnum, *snum, *sdiv, *res;\n    BN_ULONG *resp, *wnump;\n    BN_ULONG d0, d1;\n    int num_n, div_n;\n    int no_branch = 0;\n    if ((num->top > 0 && num->d[num->top - 1] == 0) ||\n        (divisor->top > 0 && divisor->d[divisor->top - 1] == 0)) {\n        BNerr(BN_F_BN_DIV, BN_R_NOT_INITIALIZED);\n        return 0;\n    }\n    bn_check_top(num);\n    bn_check_top(divisor);\n    if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0)\n        || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) {\n        no_branch = 1;\n    }\n    bn_check_top(dv);\n    bn_check_top(rm);\n    if (BN_is_zero(divisor)) {\n        BNerr(BN_F_BN_DIV, BN_R_DIV_BY_ZERO);\n        return (0);\n    }\n    if (!no_branch && BN_ucmp(num, divisor) < 0) {\n        if (rm != NULL) {\n            if (BN_copy(rm, num) == NULL)\n                return (0);\n        }\n        if (dv != NULL)\n            BN_zero(dv);\n        return (1);\n    }\n    BN_CTX_start(ctx);\n    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}', '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_word(BIGNUM *rr, BN_ULONG a, const BIGNUM *p,\n                         const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)\n{\n    BN_MONT_CTX *mont = NULL;\n    int b, bits, ret = 0;\n    int r_is_one;\n    BN_ULONG w, next_w;\n    BIGNUM *d, *r, *t;\n    BIGNUM *swap_tmp;\n#define BN_MOD_MUL_WORD(r, w, m) \\\n                (BN_mul_word(r, (w)) && \\\n                (   \\\n                        (BN_mod(t, r, m, ctx) && (swap_tmp = r, r = t, t = swap_tmp, 1))))\n#define BN_TO_MONTGOMERY_WORD(r, w, mont) \\\n                (BN_set_word(r, (w)) && BN_to_montgomery(r, r, (mont), ctx))\n    if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) {\n        BNerr(BN_F_BN_MOD_EXP_MONT_WORD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);\n        return -1;\n    }\n    bn_check_top(p);\n    bn_check_top(m);\n    if (!BN_is_odd(m)) {\n        BNerr(BN_F_BN_MOD_EXP_MONT_WORD, BN_R_CALLED_WITH_EVEN_MODULUS);\n        return (0);\n    }\n    if (m->top == 1)\n        a %= m->d[0];\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        return ret;\n    }\n    if (a == 0) {\n        BN_zero(rr);\n        ret = 1;\n        return ret;\n    }\n    BN_CTX_start(ctx);\n    d = BN_CTX_get(ctx);\n    r = BN_CTX_get(ctx);\n    t = BN_CTX_get(ctx);\n    if (d == NULL || r == NULL || t == NULL)\n        goto err;\n    if (in_mont != NULL)\n        mont = in_mont;\n    else {\n        if ((mont = BN_MONT_CTX_new()) == NULL)\n            goto err;\n        if (!BN_MONT_CTX_set(mont, m, ctx))\n            goto err;\n    }\n    r_is_one = 1;\n    w = a;\n    for (b = bits - 2; b >= 0; b--) {\n        next_w = w * w;\n        if ((next_w / w) != w) {\n            if (r_is_one) {\n                if (!BN_TO_MONTGOMERY_WORD(r, w, mont))\n                    goto err;\n                r_is_one = 0;\n            } else {\n                if (!BN_MOD_MUL_WORD(r, w, m))\n                    goto err;\n            }\n            next_w = 1;\n        }\n        w = next_w;\n        if (!r_is_one) {\n            if (!BN_mod_mul_montgomery(r, r, r, mont, ctx))\n                goto err;\n        }\n        if (BN_is_bit_set(p, b)) {\n            next_w = w * a;\n            if ((next_w / a) != w) {\n                if (r_is_one) {\n                    if (!BN_TO_MONTGOMERY_WORD(r, w, mont))\n                        goto err;\n                    r_is_one = 0;\n                } else {\n                    if (!BN_MOD_MUL_WORD(r, w, m))\n                        goto err;\n                }\n                next_w = a;\n            }\n            w = next_w;\n        }\n    }\n    if (w != 1) {\n        if (r_is_one) {\n            if (!BN_TO_MONTGOMERY_WORD(r, w, mont))\n                goto err;\n            r_is_one = 0;\n        } else {\n            if (!BN_MOD_MUL_WORD(r, w, m))\n                goto err;\n        }\n    }\n    if (r_is_one) {\n        if (!BN_one(rr))\n            goto err;\n    } else {\n        if (!BN_from_montgomery(rr, r, mont, ctx))\n            goto err;\n    }\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_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_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}', 'static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,\n                                        const BIGNUM *a, const BIGNUM *n,\n                                        BN_CTX *ctx)\n{\n    BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL;\n    BIGNUM *ret = NULL;\n    int sign;\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         {\n            BIGNUM local_B;\n            BN_init(&local_B);\n            BN_with_flags(&local_B, B, BN_FLG_CONSTTIME);\n            if (!BN_nnmod(B, &local_B, A, ctx))\n                goto err;\n        }\n    }\n    sign = -1;\n    while (!BN_is_zero(B)) {\n        BIGNUM *tmp;\n        {\n            BIGNUM local_A;\n            BN_init(&local_A);\n            BN_with_flags(&local_A, A, BN_FLG_CONSTTIME);\n            if (!BN_div(D, M, &local_A, B, ctx))\n                goto err;\n        }\n        tmp = A;\n        A = B;\n        B = M;\n        if (!BN_mul(tmp, D, X, ctx))\n            goto err;\n        if (!BN_add(tmp, tmp, Y))\n            goto err;\n        M = Y;\n        Y = X;\n        X = tmp;\n        sign = -sign;\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        BNerr(BN_F_BN_MOD_INVERSE_NO_BRANCH, BN_R_NO_INVERSE);\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}', 'void BN_CTX_end(BN_CTX *ctx)\n{\n    CTXDBG_ENTRY("BN_CTX_end", ctx);\n    if (ctx->err_stack)\n        ctx->err_stack--;\n    else {\n        unsigned int fp = BN_STACK_pop(&ctx->stack);\n        if (fp < ctx->used)\n            BN_POOL_release(&ctx->pool, ctx->used - fp);\n        ctx->used = fp;\n        ctx->too_many = 0;\n    }\n    CTXDBG_EXIT(ctx);\n}', 'static unsigned int BN_STACK_pop(BN_STACK *st)\n{\n    return st->indexes[--(st->depth)];\n}']