/*

 * Copyright 1998-2018 The OpenSSL Project Authors. All Rights Reserved.

 *

 * Licensed under the OpenSSL license (the "License").  You may not use

 * this file except in compliance with the License.  You can obtain a copy

 * in the file LICENSE in the source distribution or at

 * https://www.openssl.org/source/license.html

 */

#include "internal/cryptlib.h"

#include "bn_local.h"

int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)

{

    /*

     * like BN_mod, but returns non-negative remainder (i.e., 0 <= r < |d|

     * always holds)

     */

    if (!(BN_mod(r, m, d, ctx)))

        return 0;

    if (!r->neg)

        return 1;

    /* now   -|d| < r < 0,  so we have to set  r := r + |d| */

    return (d->neg ? BN_sub : BN_add) (r, r, d);

}

int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,

               BN_CTX *ctx)

{

    if (!BN_add(r, a, b))

        return 0;

    return BN_nnmod(r, r, m, ctx);

}

/*

 * BN_mod_add variant that may be used if both a and b are non-negative and

 * less than m. The original algorithm was

 *

 *    if (!BN_uadd(r, a, b))

 *       return 0;

 *    if (BN_ucmp(r, m) >= 0)

 *       return BN_usub(r, r, m);

 *

 * which is replaced with addition, subtracting modulus, and conditional

 * move depending on whether or not subtraction borrowed.

 */

int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

                         const BIGNUM *m)

{

    size_t i, ai, bi, mtop = m->top;

    BN_ULONG storage[1024 / BN_BITS2];

    BN_ULONG carry, temp, mask, *rp, *tp = storage;

    const BN_ULONG *ap, *bp;

    if (bn_wexpand(r, mtop) == NULL)

        return 0;

    if (mtop > sizeof(storage) / sizeof(storage[0])

        && (tp = OPENSSL_malloc(mtop * sizeof(BN_ULONG))) == NULL)

        return 0;

    ap = a->d != NULL ? a->d : tp;

    bp = b->d != NULL ? b->d : tp;

    for (i = 0, ai = 0, bi = 0, carry = 0; i < mtop;) {

        mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1));

        temp = ((ap[ai] & mask) + carry) & BN_MASK2;

        carry = (temp < carry);

        mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1));

        tp[i] = ((bp[bi] & mask) + temp) & BN_MASK2;

        carry += (tp[i] < temp);

        i++;

        ai += (i - a->dmax) >> (8 * sizeof(i) - 1);

        bi += (i - b->dmax) >> (8 * sizeof(i) - 1);

    }

    rp = r->d;

    carry -= bn_sub_words(rp, tp, m->d, mtop);

    for (i = 0; i < mtop; i++) {

        rp[i] = (carry & tp[i]) | (~carry & rp[i]);

        ((volatile BN_ULONG *)tp)[i] = 0;

    }

    r->top = mtop;

    r->flags |= BN_FLG_FIXED_TOP;

    r->neg = 0;

    if (tp != storage)

        OPENSSL_free(tp);

    return 1;

}

int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

                     const BIGNUM *m)

{

    int ret = bn_mod_add_fixed_top(r, a, b, m);

    if (ret)

        bn_correct_top(r);

    return ret;

}

int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,

               BN_CTX *ctx)

{

    if (!BN_sub(r, a, b))

        return 0;

    return BN_nnmod(r, r, m, ctx);

}

/*

 * BN_mod_sub variant that may be used if both a and b are non-negative,

 * a is less than m, while b is of same bit width as m. It's implemented

 * as subtraction followed by two conditional additions.

 *

 * 0 <= a < m

 * 0 <= b < 2^w < 2*m

 *

 * after subtraction

 *

 * -2*m < r = a - b < m

 *

 * Thus it takes up to two conditional additions to make |r| positive.

 */

int bn_mod_sub_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

                         const BIGNUM *m)

{

    size_t i, ai, bi, mtop = m->top;

    BN_ULONG borrow, carry, ta, tb, mask, *rp;

    const BN_ULONG *ap, *bp;

    if (bn_wexpand(r, mtop) == NULL)

        return 0;

    rp = r->d;

    ap = a->d != NULL ? a->d : rp;

    bp = b->d != NULL ? b->d : rp;

    for (i = 0, ai = 0, bi = 0, borrow = 0; i < mtop;) {

        mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1));

        ta = ap[ai] & mask;

        mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1));

        tb = bp[bi] & mask;

        rp[i] = ta - tb - borrow;

        if (ta != tb)

            borrow = (ta < tb);

        i++;

        ai += (i - a->dmax) >> (8 * sizeof(i) - 1);

        bi += (i - b->dmax) >> (8 * sizeof(i) - 1);

    }

    ap = m->d;

    for (i = 0, mask = 0 - borrow, carry = 0; i < mtop; i++) {

        ta = ((ap[i] & mask) + carry) & BN_MASK2;

        carry = (ta < carry);

        rp[i] = (rp[i] + ta) & BN_MASK2;

        carry += (rp[i] < ta);

    }

    borrow -= carry;

    for (i = 0, mask = 0 - borrow, carry = 0; i < mtop; i++) {

        ta = ((ap[i] & mask) + carry) & BN_MASK2;

        carry = (ta < carry);

        rp[i] = (rp[i] + ta) & BN_MASK2;

        carry += (rp[i] < ta);

    }

    r->top = mtop;

    r->flags |= BN_FLG_FIXED_TOP;

    r->neg = 0;

    return 1;

}

/*

 * BN_mod_sub variant that may be used if both a and b are non-negative and

 * less than m

 */

int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

                     const BIGNUM *m)

{

    if (!BN_sub(r, a, b))

        return 0;

    if (r->neg)

        return BN_add(r, r, m);

    return 1;

}

/* slow but works */

int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,

               BN_CTX *ctx)

{

    BIGNUM *t;

    int ret = 0;

    bn_check_top(a);

    bn_check_top(b);

    bn_check_top(m);

    BN_CTX_start(ctx);

    if ((t = BN_CTX_get(ctx)) == NULL)

        goto err;

    if (a == b) {

        if (!BN_sqr(t, a, ctx))

            goto err;

    } else {

        if (!BN_mul(t, a, b, ctx))

            goto err;

    }

    if (!BN_nnmod(r, t, m, ctx))

        goto err;

    bn_check_top(r);

    ret = 1;

 err:

    BN_CTX_end(ctx);

    return ret;

}

int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)

{

    if (!BN_sqr(r, a, ctx))

        return 0;

    /* r->neg == 0,  thus we don't need BN_nnmod */

    return BN_mod(r, r, m, ctx);

}

int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)

{

    if (!BN_lshift1(r, a))

        return 0;

    bn_check_top(r);

    return BN_nnmod(r, r, m, ctx);

}

/*

 * BN_mod_lshift1 variant that may be used if a is non-negative and less than

 * m

 */

int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m)

{

    if (!BN_lshift1(r, a))

        return 0;

    bn_check_top(r);

    if (BN_cmp(r, m) >= 0)

        return BN_sub(r, r, m);

    return 1;

}

int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m,

                  BN_CTX *ctx)

{

    BIGNUM *abs_m = NULL;

    int ret;

    if (!BN_nnmod(r, a, m, ctx))

        return 0;

    if (m->neg) {

        abs_m = BN_dup(m);

        if (abs_m == NULL)

            return 0;

        abs_m->neg = 0;

    }

    ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m));

    bn_check_top(r);

    BN_free(abs_m);

    return ret;

}

/*

 * BN_mod_lshift variant that may be used if a is non-negative and less than

 * m

 */

int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m)

{

    if (r != a) {

        if (BN_copy(r, a) == NULL)

            return 0;

    }

    while (n > 0) {

        int max_shift;

        /* 0 < r < m */

        max_shift = BN_num_bits(m) - BN_num_bits(r);

        /* max_shift >= 0 */

        if (max_shift < 0) {

            BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED);

            return 0;

        }

        if (max_shift > n)

            max_shift = n;

        if (max_shift) {

            if (!BN_lshift(r, r, max_shift))

                return 0;

            n -= max_shift;

        } else {

            if (!BN_lshift1(r, r))

                return 0;

            --n;

        }

        /* BN_num_bits(r) <= BN_num_bits(m) */

        if (BN_cmp(r, m) >= 0) {

            if (!BN_sub(r, r, m))

                return 0;

        }

    }

    bn_check_top(r);

    return 1;

}