// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.0;

import {EllipticCurve} from "./libraries/ECMath.sol";
import {EllipticCurveProjective} from "./libraries/ECMathProjective.sol";

contract MathTester {
    // Constants are taken from https://en.bitcoin.it/wiki/Secp256k1
    uint256 public constant A = 0;
    uint256 public constant B = 7;
    uint256 public constant P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F;
    uint256 public constant N = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141;

    function addJacobian(
        uint256 x1,
        uint256 y1,
        uint256 x2,
        uint256 y2
    ) public pure returns (uint256, uint256, uint256) {
        return EllipticCurve.jacAdd(x1, y1, 1, x2, y2, 1, P);
    }

    function addProjective(
        uint256 x1,
        uint256 y1,
        uint256 x2,
        uint256 y2
    ) public pure returns (uint256, uint256, uint256) {
        return EllipticCurveProjective.projectiveAdd(x1, y1, 1, x2, y2, 1);
    }

    function doubleJacobian(uint256 x1, uint256 y1) public pure returns (uint256, uint256, uint256) {
        return EllipticCurve.jacDouble(x1, y1, 1, A, P);
    }

    function doubleProjective(uint256 x1, uint256 y1) public pure returns (uint256, uint256, uint256) {
        return EllipticCurveProjective.projectiveDouble(x1, y1, 1);
    }

    function addProjectiveMixed(
        uint256 x1,
        uint256 y1,
        uint256 x2,
        uint256 y2
    ) public pure returns (uint256, uint256, uint256) {
        return EllipticCurveProjective.projectiveAddMixed(x1, y1, 1, x2, y2);
    }

    function mulEcTriplet(
        uint256 x1,
        uint256 y1,
        uint256 k1,
        uint256 x2,
        uint256 y2,
        uint256 k2,
        uint256 x3,
        uint256 y3,
        uint256 k3
    ) public pure returns(uint256, uint256) {
        (x1, y1) = EllipticCurve.ecMul(k1, x1, y1, A, P);
        (x2, y2) = EllipticCurve.ecMul(k2, x2, y2, A, P);
        (x3, y3) = EllipticCurve.ecMul(k3, x3, y3, A, P);

        (x1, y1) = EllipticCurve.ecAdd(x1, y1, x2, y2, A, P);
        (x1, y1) = EllipticCurve.ecAdd(x1, y1, x3, y3, A, P);

        return (x1, y1);
    }

    function mulProjectiveTriplet(
        uint256 x1,
        uint256 y1,
        uint256 k1,
        uint256 x2,
        uint256 y2,
        uint256 k2,
        uint256 x3,
        uint256 y3,
        uint256 k3
    ) public pure returns(uint256, uint256, uint256) {
        return EllipticCurveProjective.mulAddProjectiveTriplet(x1, y1, k1, x2, y2, k2, x3, y3, k3);
    }

    function mulEcPair(
        uint256 x1,
        uint256 y1,
        uint256 k1,
        uint256 x2,
        uint256 y2,
        uint256 k2
    ) public pure returns(uint256, uint256) {
        (x1, y1) = EllipticCurve.ecMul(k1, x1, y1, A, P);
        (x2, y2) = EllipticCurve.ecMul(k2, x2, y2, A, P);
        (x1, y1) = EllipticCurve.ecAdd(x1, y1, x2, y2, A, P);
        return (x1, y1);
    }

    function mulProjectivePair(
        uint256 x1,
        uint256 y1,
        uint256 k1,
        uint256 x2,
        uint256 y2,
        uint256 k2
    ) public pure returns(uint256, uint256, uint256) {
        return EllipticCurveProjective.mulAddProjectivePair(x1, y1, k1, x2, y2, k2);
    }

    function mulEcQuartet(
        uint256 x1, uint256 y1, uint256 k1,
        uint256 x2, uint256 y2, uint256 k2,
        uint256 x3, uint256 y3, uint256 k3,
        uint256 x4, uint256 y4, uint256 k4
    ) public pure returns(uint256, uint256) {
        (x1, y1) = EllipticCurve.ecMul(k1, x1, y1, A, P);
        (x2, y2) = EllipticCurve.ecMul(k2, x2, y2, A, P);
        (x3, y3) = EllipticCurve.ecMul(k3, x3, y3, A, P);
        (x4, y4) = EllipticCurve.ecMul(k4, x4, y4, A, P);

        (x1, y1) = EllipticCurve.ecAdd(x1, y1, x2, y2, A, P);
        (x3, y3) = EllipticCurve.ecAdd(x3, y3, x4, y4, A, P);
        (x1, y1) = EllipticCurve.ecAdd(x1, y1, x3, y3, A, P);

        return (x1, y1);
    }

    function mulProjectiveQuartet(
        uint256 x1, uint256 y1, uint256 k1,
        uint256 x2, uint256 y2, uint256 k2,
        uint256 x3, uint256 y3, uint256 k3,
        uint256 x4, uint256 y4, uint256 k4
    ) public pure returns (uint256, uint256, uint256) {
        return EllipticCurveProjective.mulAddProjectiveQuartet(
            x1, y1, k1,
            x2, y2, k2,
            x3, y3, k3,
            x4, y4, k4
        );
    }

    function toAffineJacobian(uint256 x, uint256 y, uint256 z) public pure returns (uint256, uint256) {
        return EllipticCurve.toAffine(x, y, z, P);
    }

    function toAffineProjective(uint256 x, uint256 y, uint256 z) public pure returns (uint256, uint256) {
        return EllipticCurveProjective.toAffine(x, y, z);
    }

    function isOnCurve(uint256 x, uint256 y) public pure returns (bool) {
        return EllipticCurveProjective.isOnCurve(x, y);
    }
}