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 * Copyright (c) 2018, Oracle and/or its affiliates. All rights reserved.

 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.

 *

 * This code is free software; you can redistribute it and/or modify it

 * under the terms of the GNU General Public License version 2 only, as

 * published by the Free Software Foundation.  Oracle designates this

 * particular file as subject to the "Classpath" exception as provided

 * by Oracle in the LICENSE file that accompanied this code.

 *

 * This code 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 General Public License

 * version 2 for more details (a copy is included in the LICENSE file that

 * accompanied this code).

 *

 * You should have received a copy of the GNU General Public License version

 * 2 along with this work; if not, write to the Free Software Foundation,

 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.

 *

 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA

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 * questions.

 */

/*

 * This file is generated by FieldGen.jsh. Do not modify it directly.

 */

package sun.security.util.math.intpoly;

import java.math.BigInteger;

public class IntegerPolynomialP521 extends IntegerPolynomial {

    private static final int BITS_PER_LIMB = 28;

    private static final int NUM_LIMBS = 19;

    private static final int MAX_ADDS = 2;

    public static final BigInteger MODULUS = evaluateModulus();

    private static final long CARRY_ADD = 1 << 27;

    private static final int LIMB_MASK = -1 >>> (64 - BITS_PER_LIMB);

    public IntegerPolynomialP521() {

        super(BITS_PER_LIMB, NUM_LIMBS, MAX_ADDS, MODULUS);

    }

    private static BigInteger evaluateModulus() {

        BigInteger result = BigInteger.valueOf(2).pow(521);

        result = result.subtract(BigInteger.valueOf(1));

        return result;

    }

    @Override

    protected void finalCarryReduceLast(long[] limbs) {

        long c = limbs[18] >> 17;

        limbs[18] -= c << 17;

        limbs[0] += c;

    }

    private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27, long c28, long c29, long c30, long c31, long c32, long c33, long c34, long c35, long c36) {

        long c37 = 0;

        //reduce from position 36

        c17 += (c36 << 11) & LIMB_MASK;

        c18 += c36 >> 17;

        //reduce from position 35

        c16 += (c35 << 11) & LIMB_MASK;

        c17 += c35 >> 17;

        //reduce from position 34

        c15 += (c34 << 11) & LIMB_MASK;

        c16 += c34 >> 17;

        //reduce from position 33

        c14 += (c33 << 11) & LIMB_MASK;

        c15 += c33 >> 17;

        //reduce from position 32

        c13 += (c32 << 11) & LIMB_MASK;

        c14 += c32 >> 17;

        //reduce from position 31

        c12 += (c31 << 11) & LIMB_MASK;

        c13 += c31 >> 17;

        //reduce from position 30

        c11 += (c30 << 11) & LIMB_MASK;

        c12 += c30 >> 17;

        //reduce from position 29

        c10 += (c29 << 11) & LIMB_MASK;

        c11 += c29 >> 17;

        //reduce from position 28

        c9 += (c28 << 11) & LIMB_MASK;

        c10 += c28 >> 17;

        //reduce from position 27

        c8 += (c27 << 11) & LIMB_MASK;

        c9 += c27 >> 17;

        //reduce from position 26

        c7 += (c26 << 11) & LIMB_MASK;

        c8 += c26 >> 17;

        //reduce from position 25

        c6 += (c25 << 11) & LIMB_MASK;

        c7 += c25 >> 17;

        //reduce from position 24

        c5 += (c24 << 11) & LIMB_MASK;

        c6 += c24 >> 17;

        //reduce from position 23

        c4 += (c23 << 11) & LIMB_MASK;

        c5 += c23 >> 17;

        //reduce from position 22

        c3 += (c22 << 11) & LIMB_MASK;

        c4 += c22 >> 17;

        //reduce from position 21

        c2 += (c21 << 11) & LIMB_MASK;

        c3 += c21 >> 17;

        //reduce from position 20

        c1 += (c20 << 11) & LIMB_MASK;

        c2 += c20 >> 17;

        //reduce from position 19

        c0 += (c19 << 11) & LIMB_MASK;

        c1 += c19 >> 17;

        c19 = 0;

        carryReduce0(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37);

    }

    void carryReduce0(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18, long c19, long c20, long c21, long c22, long c23, long c24, long c25, long c26, long c27, long c28, long c29, long c30, long c31, long c32, long c33, long c34, long c35, long c36, long c37) {

        //carry from position 17

        long t0 = (c17 + CARRY_ADD) >> 28;

        c17 -= (t0 << 28);

        c18 += t0;

        //carry from position 18

        t0 = (c18 + CARRY_ADD) >> 28;

        c18 -= (t0 << 28);

        c19 += t0;

        //reduce from position 19

        c0 += (c19 << 11) & LIMB_MASK;

        c1 += c19 >> 17;

        //carry from position 0

        t0 = (c0 + CARRY_ADD) >> 28;

        c0 -= (t0 << 28);

        c1 += t0;

        //carry from position 1

        t0 = (c1 + CARRY_ADD) >> 28;

        c1 -= (t0 << 28);

        c2 += t0;

        //carry from position 2

        t0 = (c2 + CARRY_ADD) >> 28;

        c2 -= (t0 << 28);

        c3 += t0;

        //carry from position 3

        t0 = (c3 + CARRY_ADD) >> 28;

        c3 -= (t0 << 28);

        c4 += t0;

        //carry from position 4

        t0 = (c4 + CARRY_ADD) >> 28;

        c4 -= (t0 << 28);

        c5 += t0;

        //carry from position 5

        t0 = (c5 + CARRY_ADD) >> 28;

        c5 -= (t0 << 28);

        c6 += t0;

        //carry from position 6

        t0 = (c6 + CARRY_ADD) >> 28;

        c6 -= (t0 << 28);

        c7 += t0;

        //carry from position 7

        t0 = (c7 + CARRY_ADD) >> 28;

        c7 -= (t0 << 28);

        c8 += t0;

        //carry from position 8

        t0 = (c8 + CARRY_ADD) >> 28;

        c8 -= (t0 << 28);

        c9 += t0;

        //carry from position 9

        t0 = (c9 + CARRY_ADD) >> 28;

        c9 -= (t0 << 28);

        c10 += t0;

        //carry from position 10

        t0 = (c10 + CARRY_ADD) >> 28;

        c10 -= (t0 << 28);

        c11 += t0;

        //carry from position 11

        t0 = (c11 + CARRY_ADD) >> 28;

        c11 -= (t0 << 28);

        c12 += t0;

        //carry from position 12

        t0 = (c12 + CARRY_ADD) >> 28;

        c12 -= (t0 << 28);

        c13 += t0;

        //carry from position 13

        t0 = (c13 + CARRY_ADD) >> 28;

        c13 -= (t0 << 28);

        c14 += t0;

        //carry from position 14

        t0 = (c14 + CARRY_ADD) >> 28;

        c14 -= (t0 << 28);

        c15 += t0;

        //carry from position 15

        t0 = (c15 + CARRY_ADD) >> 28;

        c15 -= (t0 << 28);

        c16 += t0;

        //carry from position 16

        t0 = (c16 + CARRY_ADD) >> 28;

        c16 -= (t0 << 28);

        c17 += t0;

        //carry from position 17

        t0 = (c17 + CARRY_ADD) >> 28;

        c17 -= (t0 << 28);

        c18 += t0;

        r[0] = c0;

        r[1] = c1;

        r[2] = c2;

        r[3] = c3;

        r[4] = c4;

        r[5] = c5;

        r[6] = c6;

        r[7] = c7;

        r[8] = c8;

        r[9] = c9;

        r[10] = c10;

        r[11] = c11;

        r[12] = c12;

        r[13] = c13;

        r[14] = c14;

        r[15] = c15;

        r[16] = c16;

        r[17] = c17;

        r[18] = c18;

    }

    private void carryReduce(long[] r, long c0, long c1, long c2, long c3, long c4, long c5, long c6, long c7, long c8, long c9, long c10, long c11, long c12, long c13, long c14, long c15, long c16, long c17, long c18) {

        long c19 = 0;

        //carry from position 17

        long t0 = (c17 + CARRY_ADD) >> 28;

        c17 -= (t0 << 28);

        c18 += t0;

        //carry from position 18

        t0 = (c18 + CARRY_ADD) >> 28;

        c18 -= (t0 << 28);

        c19 += t0;

        //reduce from position 19

        c0 += (c19 << 11) & LIMB_MASK;

        c1 += c19 >> 17;

        //carry from position 0

        t0 = (c0 + CARRY_ADD) >> 28;

        c0 -= (t0 << 28);

        c1 += t0;

        //carry from position 1

        t0 = (c1 + CARRY_ADD) >> 28;

        c1 -= (t0 << 28);

        c2 += t0;

        //carry from position 2

        t0 = (c2 + CARRY_ADD) >> 28;

        c2 -= (t0 << 28);

        c3 += t0;

        //carry from position 3

        t0 = (c3 + CARRY_ADD) >> 28;

        c3 -= (t0 << 28);

        c4 += t0;

        //carry from position 4

        t0 = (c4 + CARRY_ADD) >> 28;

        c4 -= (t0 << 28);

        c5 += t0;

        //carry from position 5

        t0 = (c5 + CARRY_ADD) >> 28;

        c5 -= (t0 << 28);

        c6 += t0;

        //carry from position 6

        t0 = (c6 + CARRY_ADD) >> 28;

        c6 -= (t0 << 28);

        c7 += t0;

        //carry from position 7

        t0 = (c7 + CARRY_ADD) >> 28;

        c7 -= (t0 << 28);

        c8 += t0;

        //carry from position 8

        t0 = (c8 + CARRY_ADD) >> 28;

        c8 -= (t0 << 28);

        c9 += t0;

        //carry from position 9

        t0 = (c9 + CARRY_ADD) >> 28;

        c9 -= (t0 << 28);

        c10 += t0;

        //carry from position 10

        t0 = (c10 + CARRY_ADD) >> 28;

        c10 -= (t0 << 28);

        c11 += t0;

        //carry from position 11

        t0 = (c11 + CARRY_ADD) >> 28;

        c11 -= (t0 << 28);

        c12 += t0;

        //carry from position 12

        t0 = (c12 + CARRY_ADD) >> 28;

        c12 -= (t0 << 28);

        c13 += t0;

        //carry from position 13

        t0 = (c13 + CARRY_ADD) >> 28;

        c13 -= (t0 << 28);

        c14 += t0;

        //carry from position 14

        t0 = (c14 + CARRY_ADD) >> 28;

        c14 -= (t0 << 28);

        c15 += t0;

        //carry from position 15

        t0 = (c15 + CARRY_ADD) >> 28;

        c15 -= (t0 << 28);

        c16 += t0;

        //carry from position 16

        t0 = (c16 + CARRY_ADD) >> 28;

        c16 -= (t0 << 28);

        c17 += t0;

        //carry from position 17

        t0 = (c17 + CARRY_ADD) >> 28;

        c17 -= (t0 << 28);

        c18 += t0;

        r[0] = c0;

        r[1] = c1;

        r[2] = c2;

        r[3] = c3;

        r[4] = c4;

        r[5] = c5;

        r[6] = c6;

        r[7] = c7;

        r[8] = c8;

        r[9] = c9;

        r[10] = c10;

        r[11] = c11;

        r[12] = c12;

        r[13] = c13;

        r[14] = c14;

        r[15] = c15;

        r[16] = c16;

        r[17] = c17;

        r[18] = c18;

    }

    @Override

    protected void mult(long[] a, long[] b, long[] r) {

        long c0 = (a[0] * b[0]);

        long c1 = (a[0] * b[1]) + (a[1] * b[0]);

        long c2 = (a[0] * b[2]) + (a[1] * b[1]) + (a[2] * b[0]);

        long c3 = (a[0] * b[3]) + (a[1] * b[2]) + (a[2] * b[1]) + (a[3] * b[0]);

        long c4 = (a[0] * b[4]) + (a[1] * b[3]) + (a[2] * b[2]) + (a[3] * b[1]) + (a[4] * b[0]);

        long c5 = (a[0] * b[5]) + (a[1] * b[4]) + (a[2] * b[3]) + (a[3] * b[2]) + (a[4] * b[1]) + (a[5] * b[0]);

        long c6 = (a[0] * b[6]) + (a[1] * b[5]) + (a[2] * b[4]) + (a[3] * b[3]) + (a[4] * b[2]) + (a[5] * b[1]) + (a[6] * b[0]);

        long c7 = (a[0] * b[7]) + (a[1] * b[6]) + (a[2] * b[5]) + (a[3] * b[4]) + (a[4] * b[3]) + (a[5] * b[2]) + (a[6] * b[1]) + (a[7] * b[0]);

        long c8 = (a[0] * b[8]) + (a[1] * b[7]) + (a[2] * b[6]) + (a[3] * b[5]) + (a[4] * b[4]) + (a[5] * b[3]) + (a[6] * b[2]) + (a[7] * b[1]) + (a[8] * b[0]);

        long c9 = (a[0] * b[9]) + (a[1] * b[8]) + (a[2] * b[7]) + (a[3] * b[6]) + (a[4] * b[5]) + (a[5] * b[4]) + (a[6] * b[3]) + (a[7] * b[2]) + (a[8] * b[1]) + (a[9] * b[0]);

        long c10 = (a[0] * b[10]) + (a[1] * b[9]) + (a[2] * b[8]) + (a[3] * b[7]) + (a[4] * b[6]) + (a[5] * b[5]) + (a[6] * b[4]) + (a[7] * b[3]) + (a[8] * b[2]) + (a[9] * b[1]) + (a[10] * b[0]);

        long c11 = (a[0] * b[11]) + (a[1] * b[10]) + (a[2] * b[9]) + (a[3] * b[8]) + (a[4] * b[7]) + (a[5] * b[6]) + (a[6] * b[5]) + (a[7] * b[4]) + (a[8] * b[3]) + (a[9] * b[2]) + (a[10] * b[1]) + (a[11] * b[0]);

        long c12 = (a[0] * b[12]) + (a[1] * b[11]) + (a[2] * b[10]) + (a[3] * b[9]) + (a[4] * b[8]) + (a[5] * b[7]) + (a[6] * b[6]) + (a[7] * b[5]) + (a[8] * b[4]) + (a[9] * b[3]) + (a[10] * b[2]) + (a[11] * b[1]) + (a[12] * b[0]);

        long c13 = (a[0] * b[13]) + (a[1] * b[12]) + (a[2] * b[11]) + (a[3] * b[10]) + (a[4] * b[9]) + (a[5] * b[8]) + (a[6] * b[7]) + (a[7] * b[6]) + (a[8] * b[5]) + (a[9] * b[4]) + (a[10] * b[3]) + (a[11] * b[2]) + (a[12] * b[1]) + (a[13] * b[0]);

        long c14 = (a[0] * b[14]) + (a[1] * b[13]) + (a[2] * b[12]) + (a[3] * b[11]) + (a[4] * b[10]) + (a[5] * b[9]) + (a[6] * b[8]) + (a[7] * b[7]) + (a[8] * b[6]) + (a[9] * b[5]) + (a[10] * b[4]) + (a[11] * b[3]) + (a[12] * b[2]) + (a[13] * b[1]) + (a[14] * b[0]);

        long c15 = (a[0] * b[15]) + (a[1] * b[14]) + (a[2] * b[13]) + (a[3] * b[12]) + (a[4] * b[11]) + (a[5] * b[10]) + (a[6] * b[9]) + (a[7] * b[8]) + (a[8] * b[7]) + (a[9] * b[6]) + (a[10] * b[5]) + (a[11] * b[4]) + (a[12] * b[3]) + (a[13] * b[2]) + (a[14] * b[1]) + (a[15] * b[0]);

        long c16 = (a[0] * b[16]) + (a[1] * b[15]) + (a[2] * b[14]) + (a[3] * b[13]) + (a[4] * b[12]) + (a[5] * b[11]) + (a[6] * b[10]) + (a[7] * b[9]) + (a[8] * b[8]) + (a[9] * b[7]) + (a[10] * b[6]) + (a[11] * b[5]) + (a[12] * b[4]) + (a[13] * b[3]) + (a[14] * b[2]) + (a[15] * b[1]) + (a[16] * b[0]);

        long c17 = (a[0] * b[17]) + (a[1] * b[16]) + (a[2] * b[15]) + (a[3] * b[14]) + (a[4] * b[13]) + (a[5] * b[12]) + (a[6] * b[11]) + (a[7] * b[10]) + (a[8] * b[9]) + (a[9] * b[8]) + (a[10] * b[7]) + (a[11] * b[6]) + (a[12] * b[5]) + (a[13] * b[4]) + (a[14] * b[3]) + (a[15] * b[2]) + (a[16] * b[1]) + (a[17] * b[0]);

        long c18 = (a[0] * b[18]) + (a[1] * b[17]) + (a[2] * b[16]) + (a[3] * b[15]) + (a[4] * b[14]) + (a[5] * b[13]) + (a[6] * b[12]) + (a[7] * b[11]) + (a[8] * b[10]) + (a[9] * b[9]) + (a[10] * b[8]) + (a[11] * b[7]) + (a[12] * b[6]) + (a[13] * b[5]) + (a[14] * b[4]) + (a[15] * b[3]) + (a[16] * b[2]) + (a[17] * b[1]) + (a[18] * b[0]);

        long c19 = (a[1] * b[18]) + (a[2] * b[17]) + (a[3] * b[16]) + (a[4] * b[15]) + (a[5] * b[14]) + (a[6] * b[13]) + (a[7] * b[12]) + (a[8] * b[11]) + (a[9] * b[10]) + (a[10] * b[9]) + (a[11] * b[8]) + (a[12] * b[7]) + (a[13] * b[6]) + (a[14] * b[5]) + (a[15] * b[4]) + (a[16] * b[3]) + (a[17] * b[2]) + (a[18] * b[1]);

        long c20 = (a[2] * b[18]) + (a[3] * b[17]) + (a[4] * b[16]) + (a[5] * b[15]) + (a[6] * b[14]) + (a[7] * b[13]) + (a[8] * b[12]) + (a[9] * b[11]) + (a[10] * b[10]) + (a[11] * b[9]) + (a[12] * b[8]) + (a[13] * b[7]) + (a[14] * b[6]) + (a[15] * b[5]) + (a[16] * b[4]) + (a[17] * b[3]) + (a[18] * b[2]);

        long c21 = (a[3] * b[18]) + (a[4] * b[17]) + (a[5] * b[16]) + (a[6] * b[15]) + (a[7] * b[14]) + (a[8] * b[13]) + (a[9] * b[12]) + (a[10] * b[11]) + (a[11] * b[10]) + (a[12] * b[9]) + (a[13] * b[8]) + (a[14] * b[7]) + (a[15] * b[6]) + (a[16] * b[5]) + (a[17] * b[4]) + (a[18] * b[3]);

        long c22 = (a[4] * b[18]) + (a[5] * b[17]) + (a[6] * b[16]) + (a[7] * b[15]) + (a[8] * b[14]) + (a[9] * b[13]) + (a[10] * b[12]) + (a[11] * b[11]) + (a[12] * b[10]) + (a[13] * b[9]) + (a[14] * b[8]) + (a[15] * b[7]) + (a[16] * b[6]) + (a[17] * b[5]) + (a[18] * b[4]);

        long c23 = (a[5] * b[18]) + (a[6] * b[17]) + (a[7] * b[16]) + (a[8] * b[15]) + (a[9] * b[14]) + (a[10] * b[13]) + (a[11] * b[12]) + (a[12] * b[11]) + (a[13] * b[10]) + (a[14] * b[9]) + (a[15] * b[8]) + (a[16] * b[7]) + (a[17] * b[6]) + (a[18] * b[5]);

        long c24 = (a[6] * b[18]) + (a[7] * b[17]) + (a[8] * b[16]) + (a[9] * b[15]) + (a[10] * b[14]) + (a[11] * b[13]) + (a[12] * b[12]) + (a[13] * b[11]) + (a[14] * b[10]) + (a[15] * b[9]) + (a[16] * b[8]) + (a[17] * b[7]) + (a[18] * b[6]);

        long c25 = (a[7] * b[18]) + (a[8] * b[17]) + (a[9] * b[16]) + (a[10] * b[15]) + (a[11] * b[14]) + (a[12] * b[13]) + (a[13] * b[12]) + (a[14] * b[11]) + (a[15] * b[10]) + (a[16] * b[9]) + (a[17] * b[8]) + (a[18] * b[7]);

        long c26 = (a[8] * b[18]) + (a[9] * b[17]) + (a[10] * b[16]) + (a[11] * b[15]) + (a[12] * b[14]) + (a[13] * b[13]) + (a[14] * b[12]) + (a[15] * b[11]) + (a[16] * b[10]) + (a[17] * b[9]) + (a[18] * b[8]);

        long c27 = (a[9] * b[18]) + (a[10] * b[17]) + (a[11] * b[16]) + (a[12] * b[15]) + (a[13] * b[14]) + (a[14] * b[13]) + (a[15] * b[12]) + (a[16] * b[11]) + (a[17] * b[10]) + (a[18] * b[9]);

        long c28 = (a[10] * b[18]) + (a[11] * b[17]) + (a[12] * b[16]) + (a[13] * b[15]) + (a[14] * b[14]) + (a[15] * b[13]) + (a[16] * b[12]) + (a[17] * b[11]) + (a[18] * b[10]);

        long c29 = (a[11] * b[18]) + (a[12] * b[17]) + (a[13] * b[16]) + (a[14] * b[15]) + (a[15] * b[14]) + (a[16] * b[13]) + (a[17] * b[12]) + (a[18] * b[11]);

        long c30 = (a[12] * b[18]) + (a[13] * b[17]) + (a[14] * b[16]) + (a[15] * b[15]) + (a[16] * b[14]) + (a[17] * b[13]) + (a[18] * b[12]);

        long c31 = (a[13] * b[18]) + (a[14] * b[17]) + (a[15] * b[16]) + (a[16] * b[15]) + (a[17] * b[14]) + (a[18] * b[13]);

        long c32 = (a[14] * b[18]) + (a[15] * b[17]) + (a[16] * b[16]) + (a[17] * b[15]) + (a[18] * b[14]);

        long c33 = (a[15] * b[18]) + (a[16] * b[17]) + (a[17] * b[16]) + (a[18] * b[15]);

        long c34 = (a[16] * b[18]) + (a[17] * b[17]) + (a[18] * b[16]);

        long c35 = (a[17] * b[18]) + (a[18] * b[17]);

        long c36 = (a[18] * b[18]);

        carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36);

    }

    @Override

    protected void reduce(long[] a) {

        carryReduce(a, a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], a[11], a[12], a[13], a[14], a[15], a[16], a[17], a[18]);

    }

    @Override

    protected void square(long[] a, long[] r) {

        long c0 = (a[0] * a[0]);

        long c1 = 2 * ((a[0] * a[1]));

        long c2 = 2 * ((a[0] * a[2])) + (a[1] * a[1]);

        long c3 = 2 * ((a[0] * a[3]) + (a[1] * a[2]));

        long c4 = 2 * ((a[0] * a[4]) + (a[1] * a[3])) + (a[2] * a[2]);

        long c5 = 2 * ((a[0] * a[5]) + (a[1] * a[4]) + (a[2] * a[3]));

        long c6 = 2 * ((a[0] * a[6]) + (a[1] * a[5]) + (a[2] * a[4])) + (a[3] * a[3]);

        long c7 = 2 * ((a[0] * a[7]) + (a[1] * a[6]) + (a[2] * a[5]) + (a[3] * a[4]));

        long c8 = 2 * ((a[0] * a[8]) + (a[1] * a[7]) + (a[2] * a[6]) + (a[3] * a[5])) + (a[4] * a[4]);

        long c9 = 2 * ((a[0] * a[9]) + (a[1] * a[8]) + (a[2] * a[7]) + (a[3] * a[6]) + (a[4] * a[5]));

        long c10 = 2 * ((a[0] * a[10]) + (a[1] * a[9]) + (a[2] * a[8]) + (a[3] * a[7]) + (a[4] * a[6])) + (a[5] * a[5]);

        long c11 = 2 * ((a[0] * a[11]) + (a[1] * a[10]) + (a[2] * a[9]) + (a[3] * a[8]) + (a[4] * a[7]) + (a[5] * a[6]));

        long c12 = 2 * ((a[0] * a[12]) + (a[1] * a[11]) + (a[2] * a[10]) + (a[3] * a[9]) + (a[4] * a[8]) + (a[5] * a[7])) + (a[6] * a[6]);

        long c13 = 2 * ((a[0] * a[13]) + (a[1] * a[12]) + (a[2] * a[11]) + (a[3] * a[10]) + (a[4] * a[9]) + (a[5] * a[8]) + (a[6] * a[7]));

        long c14 = 2 * ((a[0] * a[14]) + (a[1] * a[13]) + (a[2] * a[12]) + (a[3] * a[11]) + (a[4] * a[10]) + (a[5] * a[9]) + (a[6] * a[8])) + (a[7] * a[7]);

        long c15 = 2 * ((a[0] * a[15]) + (a[1] * a[14]) + (a[2] * a[13]) + (a[3] * a[12]) + (a[4] * a[11]) + (a[5] * a[10]) + (a[6] * a[9]) + (a[7] * a[8]));

        long c16 = 2 * ((a[0] * a[16]) + (a[1] * a[15]) + (a[2] * a[14]) + (a[3] * a[13]) + (a[4] * a[12]) + (a[5] * a[11]) + (a[6] * a[10]) + (a[7] * a[9])) + (a[8] * a[8]);

        long c17 = 2 * ((a[0] * a[17]) + (a[1] * a[16]) + (a[2] * a[15]) + (a[3] * a[14]) + (a[4] * a[13]) + (a[5] * a[12]) + (a[6] * a[11]) + (a[7] * a[10]) + (a[8] * a[9]));

        long c18 = 2 * ((a[0] * a[18]) + (a[1] * a[17]) + (a[2] * a[16]) + (a[3] * a[15]) + (a[4] * a[14]) + (a[5] * a[13]) + (a[6] * a[12]) + (a[7] * a[11]) + (a[8] * a[10])) + (a[9] * a[9]);

        long c19 = 2 * ((a[1] * a[18]) + (a[2] * a[17]) + (a[3] * a[16]) + (a[4] * a[15]) + (a[5] * a[14]) + (a[6] * a[13]) + (a[7] * a[12]) + (a[8] * a[11]) + (a[9] * a[10]));

        long c20 = 2 * ((a[2] * a[18]) + (a[3] * a[17]) + (a[4] * a[16]) + (a[5] * a[15]) + (a[6] * a[14]) + (a[7] * a[13]) + (a[8] * a[12]) + (a[9] * a[11])) + (a[10] * a[10]);

        long c21 = 2 * ((a[3] * a[18]) + (a[4] * a[17]) + (a[5] * a[16]) + (a[6] * a[15]) + (a[7] * a[14]) + (a[8] * a[13]) + (a[9] * a[12]) + (a[10] * a[11]));

        long c22 = 2 * ((a[4] * a[18]) + (a[5] * a[17]) + (a[6] * a[16]) + (a[7] * a[15]) + (a[8] * a[14]) + (a[9] * a[13]) + (a[10] * a[12])) + (a[11] * a[11]);

        long c23 = 2 * ((a[5] * a[18]) + (a[6] * a[17]) + (a[7] * a[16]) + (a[8] * a[15]) + (a[9] * a[14]) + (a[10] * a[13]) + (a[11] * a[12]));

        long c24 = 2 * ((a[6] * a[18]) + (a[7] * a[17]) + (a[8] * a[16]) + (a[9] * a[15]) + (a[10] * a[14]) + (a[11] * a[13])) + (a[12] * a[12]);

        long c25 = 2 * ((a[7] * a[18]) + (a[8] * a[17]) + (a[9] * a[16]) + (a[10] * a[15]) + (a[11] * a[14]) + (a[12] * a[13]));

        long c26 = 2 * ((a[8] * a[18]) + (a[9] * a[17]) + (a[10] * a[16]) + (a[11] * a[15]) + (a[12] * a[14])) + (a[13] * a[13]);

        long c27 = 2 * ((a[9] * a[18]) + (a[10] * a[17]) + (a[11] * a[16]) + (a[12] * a[15]) + (a[13] * a[14]));

        long c28 = 2 * ((a[10] * a[18]) + (a[11] * a[17]) + (a[12] * a[16]) + (a[13] * a[15])) + (a[14] * a[14]);

        long c29 = 2 * ((a[11] * a[18]) + (a[12] * a[17]) + (a[13] * a[16]) + (a[14] * a[15]));

        long c30 = 2 * ((a[12] * a[18]) + (a[13] * a[17]) + (a[14] * a[16])) + (a[15] * a[15]);

        long c31 = 2 * ((a[13] * a[18]) + (a[14] * a[17]) + (a[15] * a[16]));

        long c32 = 2 * ((a[14] * a[18]) + (a[15] * a[17])) + (a[16] * a[16]);

        long c33 = 2 * ((a[15] * a[18]) + (a[16] * a[17]));

        long c34 = 2 * ((a[16] * a[18])) + (a[17] * a[17]);

        long c35 = 2 * ((a[17] * a[18]));

        long c36 = (a[18] * a[18]);

        carryReduce(r, c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36);

    }

}