<!DOCTYPE html>
<html>
<head>
    <title>Geometry Interfaces: Test DOMMatrix non-mutating methods</title>
    <link href="mailto:peter.hall@algomi.com" rel="author" title="Peter Hall">
    <link rel="help" href="https://drafts.fxtf.org/geometry-1/#dom-dommatrixreadonly">
    <script src="/resources/testharness.js"></script>
    <script src="/resources/testharnessreport.js"></script>
</head>
<body>
    <p>Test DOMMatrix non-mutating methods</p>
    <div id="log"></div>
    <script>
        var epsilon = 0.0000000005;

        function initialMatrix(){
          return {
              m11:1,   m12:-0.5, m13: 0.5,  m14:0,
              m21:0.5, m22:2,    m23: -0.5, m24:0,
              m31:0,   m32:0,    m33: 1,    m34:0,
              m41:10,  m42:20,   m43: 10,   m44:1,
              is2D: false
            };
        }

        function initialDOMMatrix() {
          return DOMMatrixReadOnly.fromMatrix(initialMatrix())
        }

        function identity() {
          return new DOMMatrix(
            [1, 0, 0, 0,
             0, 1, 0 ,0,
             0, 0, 1, 0,
             0, 0, 0, 1]);
        }

        function update(matrix, f) {
          f(matrix);
          return matrix;
        }

        function deg2rad(degrees) {
          return degrees * Math.PI / 180;
        }

        function getRotationMatrix(x, y, z, alpha_in_degrees) {
          // Vector normalizing
          var nx = x;
          var ny = y;
          var nz = z;
          var length = Math.sqrt(x * x + y * y + z * z);
          if (length) {
            nx = x / length;
            ny = y / length;
            nz = z / length;
          }

          // The 3D rotation matrix is described in CSS Transforms with alpha.
          // Please see: https://drafts.csswg.org/css-transforms-1/#Rotate3dDefined
          var alpha_in_radians = deg2rad(alpha_in_degrees / 2);
          var sc = Math.sin(alpha_in_radians) * Math.cos(alpha_in_radians);
          var sq = Math.sin(alpha_in_radians) * Math.sin(alpha_in_radians);

          var m11 = 1 - 2 * (ny * ny + nz * nz) * sq;
          var m12 = 2 * (nx * ny * sq + nz * sc);
          var m13 = 2 * (nx * nz * sq - ny * sc);
          var m14 = 0;
          var m21 = 2 * (nx * ny * sq - nz * sc);
          var m22 = 1 - 2 * (nx * nx + nz * nz) * sq;
          var m23 = 2 * (ny * nz * sq + nx * sc);
          var m24 = 0;
          var m31 = 2 * (nx * nz * sq + ny * sc);
          var m32 = 2 * (ny * nz * sq - nx * sc);
          var m33 = 1 - 2 * (nx * nx + ny * ny) * sq;
          var m34 = 0;
          var m41 = 0;
          var m42 = 0;
          var m43 = 0;
          var m44 = 1;

          return new DOMMatrix([
            m11, m12, m13, m14,
            m21, m22, m23, m24,
            m31, m32, m33, m34,
            m41, m42, m43, m44]);
        }

        function getMatrixTransform(matrix, point) {
            var x = point.x * matrix.m11 + point.y * matrix.m21 + point.z * matrix.m31 + point.w * matrix.m41;
            var y = point.x * matrix.m12 + point.y * matrix.m22 + point.z * matrix.m32 + point.w * matrix.m42;
            var w = point.x * matrix.m13 + point.y * matrix.m23 + point.z * matrix.m33 + point.w * matrix.m43;
            var z = point.x * matrix.m14 + point.y * matrix.m24 + point.z * matrix.m34 + point.w * matrix.m44;
            return new DOMPoint(x, y, w, z)
        }

        test(function() {
          var tx = 1;
          var ty = 5;
          var tz = 3;
          var result = initialDOMMatrix().translate(tx, ty, tz);
          var expected = update(initialMatrix(), function(m) {
            m.m41 += tx * m.m11 + ty * m.m21 + tz * m.m31;
            m.m42 += tx * m.m12 + ty * m.m22 + tz * m.m32;
            m.m43 += tx * m.m13 + ty * m.m23 + tz * m.m33;
            m.m44 += tx * m.m14 + ty * m.m24 + tz * m.m34;
          });
          checkDOMMatrix(result, expected);
        },"test translate()");

        test(function() {
          var sx = 2;
          var sy = 5;
          var sz = 3;
          var result = initialDOMMatrix().scale(sx, sy, sz);
          var expected = update(initialMatrix(), function(m) {
            m.m11 *= sx;
            m.m12 *= sx;
            m.m13 *= sx;
            m.m14 *= sx;
            m.m21 *= sy;
            m.m22 *= sy;
            m.m23 *= sy;
            m.m24 *= sy;
            m.m31 *= sz;
            m.m32 *= sz;
            m.m33 *= sz;
            m.m34 *= sz;
          });
          checkDOMMatrix(result, expected);
        },"test scale() without offsets");

        test(function() {
          var result = initialDOMMatrix().scale(2, 5, 3, 11, 7, 13);
          var expected = initialDOMMatrix()
                          .translate(11, 7, 13)
                          .scale(2, 5, 3)
                          .translate(-11, -7, -13);
          checkDOMMatrix(result, expected);
        },"test scale() with offsets");

        test(function() {
          var result = initialDOMMatrix().scale3d(7, 5, 2, 3);
          var expected = initialDOMMatrix()
                          .translate(5, 2, 3)
                          .scale(7, 7, 7)
                          .translate(-5, -2, -3);
          checkDOMMatrix(result, expected);
        },"test scale3d()");

        test(function() {
          var result = initialDOMMatrix().rotate(-90);
          var expected = initialDOMMatrix().multiply(getRotationMatrix(0, 0, 1, -90));
          checkDOMMatrix(result, expected);
        },"test rotate() 2d");

        test(function() {
          var result = initialDOMMatrix().rotate(180, 180, 90);
          var expected = initialDOMMatrix().rotate(0,0,-90);
          checkDOMMatrix(result, expected);
        },"test rotate()");

        test(function() {
          var result = initialDOMMatrix().rotateFromVector(1, 1);
          var expected = initialDOMMatrix().rotate(45);
          checkDOMMatrix(result, expected);
        },"test rotateFromVector()");

        test(function() {
          var result = initialDOMMatrix().rotateAxisAngle(3, 3, 3, 120);
          var expected = initialDOMMatrix().multiply(getRotationMatrix(3, 3, 3, 120));
          checkDOMMatrix(result, expected);
        },"test rotateAxisAngle() ");

        test(function() {
          var angleDeg = 75;
          var result = initialDOMMatrix().skewX(angleDeg);
          var tangent = Math.tan(angleDeg * Math.PI/180);
          var skew = new DOMMatrix([
                1,       0, 0, 0,
                tangent, 1, 0, 0,
                0,       0, 1, 0,
                0,       0, 0, 1])
          var expected = initialDOMMatrix().multiply(skew);
          checkDOMMatrix(result, expected);
        },"test skewX()");

        test(function() {
          var angleDeg = 18;
          var result = initialDOMMatrix().skewY(angleDeg);
          var tangent = Math.tan(angleDeg * Math.PI/180);
          var skew = new DOMMatrix([
                1, tangent, 0, 0,
                0, 1,       0, 0,
                0, 0,       1, 0,
                0, 0,       0, 1])
          var expected = initialDOMMatrix().multiply(skew);
          checkDOMMatrix(result, expected);
        },"test skewY()");

        test(function() {
          var result = initialDOMMatrix().multiply(initialDOMMatrix().inverse());
          checkDOMMatrix(result, identity());
        },"test multiply with inverse is identity");

        test(function() {
          var result = initialDOMMatrix().flipX();
          var expected = initialDOMMatrix().multiply(new DOMMatrix([-1, 0, 0, 1, 0, 0]));
          checkDOMMatrix(result, expected);
        },"test flipX()");

        test(function() {
          var result = initialDOMMatrix().flipY();
          var expected = initialDOMMatrix().multiply(new DOMMatrix([1, 0, 0, -1, 0, 0]));
          checkDOMMatrix(result, expected);
        },"test flipY()");

        test(function() {
          var point = new DOMPointReadOnly(1, 2, 3, 4);
          var matrix = new DOMMatrix([1, 2, 3, 4, 5, 6]);
          var result = matrix.transformPoint(point);
          var expected = getMatrixTransform(matrix, point);
          checkDOMPoint(result, expected);
        },"test transformPoint() - 2d matrix");

        test(function() {
          var point = new DOMPointReadOnly(1, 2, 3, 4);
          var matrix = new DOMMatrix([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
          var result = matrix.transformPoint(point);
          var expected = getMatrixTransform(matrix, point);
          checkDOMPoint(result, expected);
        },"test transformPoint() - 3d matrix");

        function checkDOMMatrix(m, exp) {
          assert_approx_equals(m.m11, exp.m11, epsilon, "Expected value for m11 is " + exp.m11);
          assert_approx_equals(m.m12, exp.m12, epsilon, "Expected value for m12 is " + exp.m12);
          assert_approx_equals(m.m13, exp.m13, epsilon, "Expected value for m13 is " + exp.m13);
          assert_approx_equals(m.m14, exp.m14, epsilon, "Expected value for m14 is " + exp.m14);
          assert_approx_equals(m.m21, exp.m21, epsilon, "Expected value for m21 is " + exp.m21);
          assert_approx_equals(m.m22, exp.m22, epsilon, "Expected value for m22 is " + exp.m22);
          assert_approx_equals(m.m23, exp.m23, epsilon, "Expected value for m23 is " + exp.m23);
          assert_approx_equals(m.m24, exp.m24, epsilon, "Expected value for m24 is " + exp.m24);
          assert_approx_equals(m.m31, exp.m31, epsilon, "Expected value for m31 is " + exp.m31);
          assert_approx_equals(m.m32, exp.m32, epsilon, "Expected value for m32 is " + exp.m32);
          assert_approx_equals(m.m33, exp.m33, epsilon, "Expected value for m33 is " + exp.m33);
          assert_approx_equals(m.m34, exp.m34, epsilon, "Expected value for m34 is " + exp.m34);
          assert_approx_equals(m.m41, exp.m41, epsilon, "Expected value for m41 is " + exp.m41);
          assert_approx_equals(m.m42, exp.m42, epsilon, "Expected value for m42 is " + exp.m42);
          assert_approx_equals(m.m43, exp.m43, epsilon, "Expected value for m43 is " + exp.m43);
          assert_approx_equals(m.m44, exp.m44, epsilon, "Expected value for m44 is " + exp.m44);
          assert_equals(m.is2D, exp.is2D, "Expected value for is2D is " + exp.is2D);
        }

        function checkDOMPoint(p, exp) {
            assert_equals(p.x, exp.x, "x is not matched");
            assert_equals(p.y, exp.y, "y is not matched");
            assert_equals(p.z, exp.z, "z is not matched");
            assert_equals(p.w, exp.w, "w is not matched");
        }

    </script>
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