/*
 * Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved.
 * Use is subject to license terms.
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public License
 * along with this library; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
 * or visit www.oracle.com if you need additional information or have any
 * questions.
 */

/* *********************************************************************
 *
 * The Original Code is the elliptic curve math library for prime field curves.
 *
 * The Initial Developer of the Original Code is
 * Sun Microsystems, Inc.
 * Portions created by the Initial Developer are Copyright (C) 2003
 * the Initial Developer. All Rights Reserved.
 *
 * Contributor(s):
 *   Douglas Stebila <douglas@stebila.ca>
 *
 *********************************************************************** */

#include "ecp.h"
#include "mpi.h"
#include "mplogic.h"
#include "mpi-priv.h"
#ifndef _KERNEL
#include <stdlib.h>
#endif

/* Fast modular reduction for p256 = 2^256 - 2^224 + 2^192+ 2^96 - 1.  a can be r.
 * Uses algorithm 2.29 from Hankerson, Menezes, Vanstone. Guide to
 * Elliptic Curve Cryptography. */
mp_err
ec_GFp_nistp256_mod(const mp_int *a, mp_int *r, const GFMethod *meth)
{
        mp_err res = MP_OKAY;
        mp_size a_used = MP_USED(a);
        int a_bits = mpl_significant_bits(a);
        mp_digit carry;

#ifdef ECL_THIRTY_TWO_BIT
        mp_digit a8=0, a9=0, a10=0, a11=0, a12=0, a13=0, a14=0, a15=0;
        mp_digit r0, r1, r2, r3, r4, r5, r6, r7;
        int r8; /* must be a signed value ! */
#else
        mp_digit a4=0, a5=0, a6=0, a7=0;
        mp_digit a4h, a4l, a5h, a5l, a6h, a6l, a7h, a7l;
        mp_digit r0, r1, r2, r3;
        int r4; /* must be a signed value ! */
#endif
        /* for polynomials larger than twice the field size
         * use regular reduction */
        if (a_bits < 256) {
                if (a == r) return MP_OKAY;
                return mp_copy(a,r);
        }
        if (a_bits > 512)  {
                MP_CHECKOK(mp_mod(a, &meth->irr, r));
        } else {

#ifdef ECL_THIRTY_TWO_BIT
                switch (a_used) {
                case 16:
                        a15 = MP_DIGIT(a,15);
                case 15:
                        a14 = MP_DIGIT(a,14);
                case 14:
                        a13 = MP_DIGIT(a,13);
                case 13:
                        a12 = MP_DIGIT(a,12);
                case 12:
                        a11 = MP_DIGIT(a,11);
                case 11:
                        a10 = MP_DIGIT(a,10);
                case 10:
                        a9 = MP_DIGIT(a,9);
                case 9:
                        a8 = MP_DIGIT(a,8);
                }

                r0 = MP_DIGIT(a,0);
                r1 = MP_DIGIT(a,1);
                r2 = MP_DIGIT(a,2);
                r3 = MP_DIGIT(a,3);
                r4 = MP_DIGIT(a,4);
                r5 = MP_DIGIT(a,5);
                r6 = MP_DIGIT(a,6);
                r7 = MP_DIGIT(a,7);

                /* sum 1 */
                MP_ADD_CARRY(r3, a11, r3, 0,     carry);
                MP_ADD_CARRY(r4, a12, r4, carry, carry);
                MP_ADD_CARRY(r5, a13, r5, carry, carry);
                MP_ADD_CARRY(r6, a14, r6, carry, carry);
                MP_ADD_CARRY(r7, a15, r7, carry, carry);
                r8 = carry;
                MP_ADD_CARRY(r3, a11, r3, 0,     carry);
                MP_ADD_CARRY(r4, a12, r4, carry, carry);
                MP_ADD_CARRY(r5, a13, r5, carry, carry);
                MP_ADD_CARRY(r6, a14, r6, carry, carry);
                MP_ADD_CARRY(r7, a15, r7, carry, carry);
                r8 += carry;
                /* sum 2 */
                MP_ADD_CARRY(r3, a12, r3, 0,     carry);
                MP_ADD_CARRY(r4, a13, r4, carry, carry);
                MP_ADD_CARRY(r5, a14, r5, carry, carry);
                MP_ADD_CARRY(r6, a15, r6, carry, carry);
                MP_ADD_CARRY(r7,   0, r7, carry, carry);
                r8 += carry;
                /* combine last bottom of sum 3 with second sum 2 */
                MP_ADD_CARRY(r0, a8,  r0, 0,     carry);
                MP_ADD_CARRY(r1, a9,  r1, carry, carry);
                MP_ADD_CARRY(r2, a10, r2, carry, carry);
                MP_ADD_CARRY(r3, a12, r3, carry, carry);
                MP_ADD_CARRY(r4, a13, r4, carry, carry);
                MP_ADD_CARRY(r5, a14, r5, carry, carry);
                MP_ADD_CARRY(r6, a15, r6, carry, carry);
                MP_ADD_CARRY(r7, a15, r7, carry, carry); /* from sum 3 */
                r8 += carry;
                /* sum 3 (rest of it)*/
                MP_ADD_CARRY(r6, a14, r6, 0,     carry);
                MP_ADD_CARRY(r7,   0, r7, carry, carry);
                r8 += carry;
                /* sum 4 (rest of it)*/
                MP_ADD_CARRY(r0, a9,  r0, 0,     carry);
                MP_ADD_CARRY(r1, a10, r1, carry, carry);
                MP_ADD_CARRY(r2, a11, r2, carry, carry);
                MP_ADD_CARRY(r3, a13, r3, carry, carry);
                MP_ADD_CARRY(r4, a14, r4, carry, carry);
                MP_ADD_CARRY(r5, a15, r5, carry, carry);
                MP_ADD_CARRY(r6, a13, r6, carry, carry);
                MP_ADD_CARRY(r7, a8,  r7, carry, carry);
                r8 += carry;
                /* diff 5 */
                MP_SUB_BORROW(r0, a11, r0, 0,     carry);
                MP_SUB_BORROW(r1, a12, r1, carry, carry);
                MP_SUB_BORROW(r2, a13, r2, carry, carry);
                MP_SUB_BORROW(r3,   0, r3, carry, carry);
                MP_SUB_BORROW(r4,   0, r4, carry, carry);
                MP_SUB_BORROW(r5,   0, r5, carry, carry);
                MP_SUB_BORROW(r6, a8,  r6, carry, carry);
                MP_SUB_BORROW(r7, a10, r7, carry, carry);
                r8 -= carry;
                /* diff 6 */
                MP_SUB_BORROW(r0, a12, r0, 0,     carry);
                MP_SUB_BORROW(r1, a13, r1, carry, carry);
                MP_SUB_BORROW(r2, a14, r2, carry, carry);
                MP_SUB_BORROW(r3, a15, r3, carry, carry);
                MP_SUB_BORROW(r4,   0, r4, carry, carry);
                MP_SUB_BORROW(r5,   0, r5, carry, carry);
                MP_SUB_BORROW(r6, a9,  r6, carry, carry);
                MP_SUB_BORROW(r7, a11, r7, carry, carry);
                r8 -= carry;
                /* diff 7 */
                MP_SUB_BORROW(r0, a13, r0, 0,     carry);
                MP_SUB_BORROW(r1, a14, r1, carry, carry);
                MP_SUB_BORROW(r2, a15, r2, carry, carry);
                MP_SUB_BORROW(r3, a8,  r3, carry, carry);
                MP_SUB_BORROW(r4, a9,  r4, carry, carry);
                MP_SUB_BORROW(r5, a10, r5, carry, carry);
                MP_SUB_BORROW(r6, 0,   r6, carry, carry);
                MP_SUB_BORROW(r7, a12, r7, carry, carry);
                r8 -= carry;
                /* diff 8 */
                MP_SUB_BORROW(r0, a14, r0, 0,     carry);
                MP_SUB_BORROW(r1, a15, r1, carry, carry);
                MP_SUB_BORROW(r2, 0,   r2, carry, carry);
                MP_SUB_BORROW(r3, a9,  r3, carry, carry);
                MP_SUB_BORROW(r4, a10, r4, carry, carry);
                MP_SUB_BORROW(r5, a11, r5, carry, carry);
                MP_SUB_BORROW(r6, 0,   r6, carry, carry);
                MP_SUB_BORROW(r7, a13, r7, carry, carry);
                r8 -= carry;

                /* reduce the overflows */
                while (r8 > 0) {
                        mp_digit r8_d = r8;
                        MP_ADD_CARRY(r0, r8_d,         r0, 0,     carry);
                        MP_ADD_CARRY(r1, 0,            r1, carry, carry);
                        MP_ADD_CARRY(r2, 0,            r2, carry, carry);
                        MP_ADD_CARRY(r3, -r8_d,        r3, carry, carry);
                        MP_ADD_CARRY(r4, MP_DIGIT_MAX, r4, carry, carry);
                        MP_ADD_CARRY(r5, MP_DIGIT_MAX, r5, carry, carry);
                        MP_ADD_CARRY(r6, -(r8_d+1),    r6, carry, carry);
                        MP_ADD_CARRY(r7, (r8_d-1),     r7, carry, carry);
                        r8 = carry;
                }

                /* reduce the underflows */
                while (r8 < 0) {
                        mp_digit r8_d = -r8;
                        MP_SUB_BORROW(r0, r8_d,         r0, 0,     carry);
                        MP_SUB_BORROW(r1, 0,            r1, carry, carry);
                        MP_SUB_BORROW(r2, 0,            r2, carry, carry);
                        MP_SUB_BORROW(r3, -r8_d,        r3, carry, carry);
                        MP_SUB_BORROW(r4, MP_DIGIT_MAX, r4, carry, carry);
                        MP_SUB_BORROW(r5, MP_DIGIT_MAX, r5, carry, carry);
                        MP_SUB_BORROW(r6, -(r8_d+1),    r6, carry, carry);
                        MP_SUB_BORROW(r7, (r8_d-1),     r7, carry, carry);
                        r8 = -carry;
                }
                if (a != r) {
                        MP_CHECKOK(s_mp_pad(r,8));
                }
                MP_SIGN(r) = MP_ZPOS;
                MP_USED(r) = 8;

                MP_DIGIT(r,7) = r7;
                MP_DIGIT(r,6) = r6;
                MP_DIGIT(r,5) = r5;
                MP_DIGIT(r,4) = r4;
                MP_DIGIT(r,3) = r3;
                MP_DIGIT(r,2) = r2;
                MP_DIGIT(r,1) = r1;
                MP_DIGIT(r,0) = r0;

                /* final reduction if necessary */
                if ((r7 == MP_DIGIT_MAX) &&
                        ((r6 > 1) || ((r6 == 1) &&
                        (r5 || r4 || r3 ||
                                ((r2 == MP_DIGIT_MAX) && (r1 == MP_DIGIT_MAX)
                                  && (r0 == MP_DIGIT_MAX)))))) {
                        MP_CHECKOK(mp_sub(r, &meth->irr, r));
                }
#ifdef notdef


                /* smooth the negatives */
                while (MP_SIGN(r) != MP_ZPOS) {
                        MP_CHECKOK(mp_add(r, &meth->irr, r));
                }
                while (MP_USED(r) > 8) {
                        MP_CHECKOK(mp_sub(r, &meth->irr, r));
                }

                /* final reduction if necessary */
                if (MP_DIGIT(r,7) >= MP_DIGIT(&meth->irr,7)) {
                    if (mp_cmp(r,&meth->irr) != MP_LT) {
                        MP_CHECKOK(mp_sub(r, &meth->irr, r));
                    }
                }
#endif
                s_mp_clamp(r);
#else
                switch (a_used) {
                case 8:
                        a7 = MP_DIGIT(a,7);
                case 7:
                        a6 = MP_DIGIT(a,6);
                case 6:
                        a5 = MP_DIGIT(a,5);
                case 5:
                        a4 = MP_DIGIT(a,4);
                }
                a7l = a7 << 32;
                a7h = a7 >> 32;
                a6l = a6 << 32;
                a6h = a6 >> 32;
                a5l = a5 << 32;
                a5h = a5 >> 32;
                a4l = a4 << 32;
                a4h = a4 >> 32;
                r3 = MP_DIGIT(a,3);
                r2 = MP_DIGIT(a,2);
                r1 = MP_DIGIT(a,1);
                r0 = MP_DIGIT(a,0);

                /* sum 1 */
                MP_ADD_CARRY_ZERO(r1, a5h << 32, r1, carry);
                MP_ADD_CARRY(r2, a6,        r2, carry, carry);
                MP_ADD_CARRY(r3, a7,        r3, carry, carry);
                r4 = carry;
                MP_ADD_CARRY_ZERO(r1, a5h << 32, r1, carry);
                MP_ADD_CARRY(r2, a6,        r2, carry, carry);
                MP_ADD_CARRY(r3, a7,        r3, carry, carry);
                r4 += carry;
                /* sum 2 */
                MP_ADD_CARRY_ZERO(r1, a6l,       r1, carry);
                MP_ADD_CARRY(r2, a6h | a7l, r2, carry, carry);
                MP_ADD_CARRY(r3, a7h,       r3, carry, carry);
                r4 += carry;
                MP_ADD_CARRY_ZERO(r1, a6l,       r1, carry);
                MP_ADD_CARRY(r2, a6h | a7l, r2, carry, carry);
                MP_ADD_CARRY(r3, a7h,       r3, carry, carry);
                r4 += carry;

                /* sum 3 */
                MP_ADD_CARRY_ZERO(r0, a4,        r0, carry);
                MP_ADD_CARRY(r1, a5l >> 32, r1, carry, carry);
                MP_ADD_CARRY(r2, 0,         r2, carry, carry);
                MP_ADD_CARRY(r3, a7,        r3, carry, carry);
                r4 += carry;
                /* sum 4 */
                MP_ADD_CARRY_ZERO(r0, a4h | a5l,     r0, carry);
                MP_ADD_CARRY(r1, a5h|(a6h<<32), r1, carry, carry);
                MP_ADD_CARRY(r2, a7,            r2, carry, carry);
                MP_ADD_CARRY(r3, a6h | a4l,     r3, carry, carry);
                r4 += carry;
                /* diff 5 */
                MP_SUB_BORROW(r0, a5h | a6l,    r0, 0,     carry);
                MP_SUB_BORROW(r1, a6h,          r1, carry, carry);
                MP_SUB_BORROW(r2, 0,            r2, carry, carry);
                MP_SUB_BORROW(r3, (a4l>>32)|a5l,r3, carry, carry);
                r4 -= carry;
                /* diff 6 */
                MP_SUB_BORROW(r0, a6,           r0, 0,     carry);
                MP_SUB_BORROW(r1, a7,           r1, carry, carry);
                MP_SUB_BORROW(r2, 0,            r2, carry, carry);
                MP_SUB_BORROW(r3, a4h|(a5h<<32),r3, carry, carry);
                r4 -= carry;
                /* diff 7 */
                MP_SUB_BORROW(r0, a6h|a7l,      r0, 0,     carry);
                MP_SUB_BORROW(r1, a7h|a4l,      r1, carry, carry);
                MP_SUB_BORROW(r2, a4h|a5l,      r2, carry, carry);
                MP_SUB_BORROW(r3, a6l,          r3, carry, carry);
                r4 -= carry;
                /* diff 8 */
                MP_SUB_BORROW(r0, a7,           r0, 0,     carry);
                MP_SUB_BORROW(r1, a4h<<32,      r1, carry, carry);
                MP_SUB_BORROW(r2, a5,           r2, carry, carry);
                MP_SUB_BORROW(r3, a6h<<32,      r3, carry, carry);
                r4 -= carry;

                /* reduce the overflows */
                while (r4 > 0) {
                        mp_digit r4_long = r4;
                        mp_digit r4l = (r4_long << 32);
                        MP_ADD_CARRY_ZERO(r0, r4_long,      r0, carry);
                        MP_ADD_CARRY(r1, -r4l,         r1, carry, carry);
                        MP_ADD_CARRY(r2, MP_DIGIT_MAX, r2, carry, carry);
                        MP_ADD_CARRY(r3, r4l-r4_long-1,r3, carry, carry);
                        r4 = carry;
                }

                /* reduce the underflows */
                while (r4 < 0) {
                        mp_digit r4_long = -r4;
                        mp_digit r4l = (r4_long << 32);
                        MP_SUB_BORROW(r0, r4_long,      r0, 0,     carry);
                        MP_SUB_BORROW(r1, -r4l,         r1, carry, carry);
                        MP_SUB_BORROW(r2, MP_DIGIT_MAX, r2, carry, carry);
                        MP_SUB_BORROW(r3, r4l-r4_long-1,r3, carry, carry);
                        r4 = -carry;
                }

                if (a != r) {
                        MP_CHECKOK(s_mp_pad(r,4));
                }
                MP_SIGN(r) = MP_ZPOS;
                MP_USED(r) = 4;

                MP_DIGIT(r,3) = r3;
                MP_DIGIT(r,2) = r2;
                MP_DIGIT(r,1) = r1;
                MP_DIGIT(r,0) = r0;

                /* final reduction if necessary */
                if ((r3 > 0xFFFFFFFF00000001ULL) ||
                        ((r3 == 0xFFFFFFFF00000001ULL) &&
                        (r2 || (r1 >> 32)||
                               (r1 == 0xFFFFFFFFULL && r0 == MP_DIGIT_MAX)))) {
                        /* very rare, just use mp_sub */
                        MP_CHECKOK(mp_sub(r, &meth->irr, r));
                }

                s_mp_clamp(r);
#endif
        }

  CLEANUP:
        return res;
}

/* Compute the square of polynomial a, reduce modulo p256. Store the
 * result in r.  r could be a.  Uses optimized modular reduction for p256.
 */
mp_err
ec_GFp_nistp256_sqr(const mp_int *a, mp_int *r, const GFMethod *meth)
{
        mp_err res = MP_OKAY;

        MP_CHECKOK(mp_sqr(a, r));
        MP_CHECKOK(ec_GFp_nistp256_mod(r, r, meth));
  CLEANUP:
        return res;
}

/* Compute the product of two polynomials a and b, reduce modulo p256.
 * Store the result in r.  r could be a or b; a could be b.  Uses
 * optimized modular reduction for p256. */
mp_err
ec_GFp_nistp256_mul(const mp_int *a, const mp_int *b, mp_int *r,
                                        const GFMethod *meth)
{
        mp_err res = MP_OKAY;

        MP_CHECKOK(mp_mul(a, b, r));
        MP_CHECKOK(ec_GFp_nistp256_mod(r, r, meth));
  CLEANUP:
        return res;
}

/* Wire in fast field arithmetic and precomputation of base point for
 * named curves. */
mp_err
ec_group_set_gfp256(ECGroup *group, ECCurveName name)
{
        if (name == ECCurve_NIST_P256) {
                group->meth->field_mod = &ec_GFp_nistp256_mod;
                group->meth->field_mul = &ec_GFp_nistp256_mul;
                group->meth->field_sqr = &ec_GFp_nistp256_sqr;
        }
        return MP_OKAY;
}