/**
* @license
* Copyright The Closure Library Authors.
* SPDX-License-Identifier: Apache-2.0
*/
goog.module('goog.vec.Mat4Test');
goog.setTestOnly();
const Mat4 = goog.require('goog.vec.Mat4');
const Vec3 = goog.require('goog.vec.Vec3');
const Vec4 = goog.require('goog.vec.Vec4');
const testSuite = goog.require('goog.testing.testSuite');
const vec = goog.require('goog.vec');
const randomMat4 = Mat4.createFloat32FromValues(
0.8025078773498535, 0.7559120655059814, 0.15274643898010254,
0.19196106493473053, 0.0890120416879654, 0.15422114729881287,
0.09754583984613419, 0.44862601161003113, 0.9196512699127197,
0.5310639142990112, 0.8962187170982361, 0.280601441860199,
0.594650387763977, 0.4134795069694519, 0.06632178276777267,
0.8837796449661255);
testSuite({
testDeprecatedConstructor() {
const m0 = Mat4.create();
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
const m1 = Mat4.createFromArray(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m1);
const m2 = Mat4.clone(m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m2);
const m3 = Mat4.createFromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m3);
const m4 = Mat4.createIdentity();
assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m4);
},
testConstructor() {
const m0 = Mat4.createFloat32();
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
const m1 = Mat4.createFloat32FromArray(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m1);
const m2 = Mat4.clone(m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m2);
const m3 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m3);
const m4 = Mat4.createIdentity();
assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m4);
},
testSet() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32FromArray(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
Mat4.setFromArray(m0, m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
Mat4.setFromValues(
m0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17);
assertElementsEquals(
[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], m0);
},
testSetDiagonal() {
const m0 = Mat4.createFloat32();
Mat4.setDiagonalValues(m0, 1, 2, 3, 4);
assertElementsEquals([1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4], m0);
Mat4.setDiagonal(m0, [4, 5, 6, 7]);
assertElementsEquals([4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 7], m0);
},
testGetDiagonal() {
const v0 = Vec4.create();
const m0 = Mat4.createFloat32();
Mat4.setFromArray(
m0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]);
Mat4.getDiagonal(m0, v0);
assertElementsEquals([0, 5, 10, 15], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, 1);
assertElementsEquals([4, 9, 14, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, 2);
assertElementsEquals([8, 13, 0, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, 3);
assertElementsEquals([12, 0, 0, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, 4);
assertElementsEquals([0, 0, 0, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, -1);
assertElementsEquals([1, 6, 11, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, -2);
assertElementsEquals([2, 7, 0, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, -3);
assertElementsEquals([3, 0, 0, 0], v0);
Vec4.setFromArray(v0, [0, 0, 0, 0]);
Mat4.getDiagonal(m0, v0, -4);
assertElementsEquals([0, 0, 0, 0], v0);
},
testSetGetColumn() {
const m0 = Mat4.createFloat32();
Mat4.setColumn(m0, 0, [1, 2, 3, 4]);
Mat4.setColumn(m0, 1, [5, 6, 7, 8]);
Mat4.setColumn(m0, 2, [9, 10, 11, 12]);
Mat4.setColumn(m0, 3, [13, 14, 15, 16]);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
const v0 = [0, 0, 0, 0];
Mat4.getColumn(m0, 0, v0);
assertElementsEquals([1, 2, 3, 4], v0);
Mat4.getColumn(m0, 1, v0);
assertElementsEquals([5, 6, 7, 8], v0);
Mat4.getColumn(m0, 2, v0);
assertElementsEquals([9, 10, 11, 12], v0);
Mat4.getColumn(m0, 3, v0);
assertElementsEquals([13, 14, 15, 16], v0);
},
testSetGetColumns() {
const m0 = Mat4.createFloat32();
Mat4.setColumns(
m0, [1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
const v0 = [0, 0, 0, 0];
const v1 = [0, 0, 0, 0];
const v2 = [0, 0, 0, 0];
const v3 = [0, 0, 0, 0];
Mat4.getColumns(m0, v0, v1, v2, v3);
assertElementsEquals([1, 2, 3, 4], v0);
assertElementsEquals([5, 6, 7, 8], v1);
assertElementsEquals([9, 10, 11, 12], v2);
assertElementsEquals([13, 14, 15, 16], v3);
},
testSetGetRow() {
const m0 = Mat4.createFloat32();
Mat4.setRow(m0, 0, [1, 2, 3, 4]);
Mat4.setRow(m0, 1, [5, 6, 7, 8]);
Mat4.setRow(m0, 2, [9, 10, 11, 12]);
Mat4.setRow(m0, 3, [13, 14, 15, 16]);
assertElementsEquals(
[1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16], m0);
const v0 = [0, 0, 0, 0];
Mat4.getRow(m0, 0, v0);
assertElementsEquals([1, 2, 3, 4], v0);
Mat4.getRow(m0, 1, v0);
assertElementsEquals([5, 6, 7, 8], v0);
Mat4.getRow(m0, 2, v0);
assertElementsEquals([9, 10, 11, 12], v0);
Mat4.getRow(m0, 3, v0);
assertElementsEquals([13, 14, 15, 16], v0);
},
testSetGetRows() {
const m0 = Mat4.createFloat32();
Mat4.setRows(
m0, [1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]);
assertElementsEquals(
[1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16], m0);
const v0 = [0, 0, 0, 0];
const v1 = [0, 0, 0, 0];
const v2 = [0, 0, 0, 0];
const v3 = [0, 0, 0, 0];
Mat4.getRows(m0, v0, v1, v2, v3);
assertElementsEquals([1, 2, 3, 4], v0);
assertElementsEquals([5, 6, 7, 8], v1);
assertElementsEquals([9, 10, 11, 12], v2);
assertElementsEquals([13, 14, 15, 16], v3);
},
testSetRowMajorArray() {
const m0 = Mat4.createFloat32();
Mat4.setFromRowMajorArray(
m0, [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
assertElementsEquals(
[1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16], m0);
},
testMakeZero() {
const m0 = Mat4.createFloat32FromArray(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
Mat4.makeZero(m0);
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
},
testMakeIdentity() {
const m0 = Mat4.createFloat32();
Mat4.makeIdentity(m0);
assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m0);
},
testSetGetElement() {
const m0 = Mat4.createFloat32();
for (let r = 0; r < 4; r++) {
for (let c = 0; c < 4; c++) {
const value = c * 4 + r + 1;
Mat4.setElement(m0, r, c, value);
assertEquals(value, Mat4.getElement(m0, r, c));
}
}
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
},
testAddMat() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m1 = Mat4.createFloat32FromValues(
9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8);
const m2 = Mat4.createFloat32();
Mat4.addMat(m0, m1, m2);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
assertElementsEquals(
[9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8], m1);
assertElementsEquals(
[10, 12, 14, 16, 18, 20, 22, 24, 10, 12, 14, 16, 18, 20, 22, 24], m2);
Mat4.addMat(m0, m1, m0);
assertElementsEquals(
[9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8], m1);
assertElementsEquals(
[10, 12, 14, 16, 18, 20, 22, 24, 10, 12, 14, 16, 18, 20, 22, 24], m0);
},
testSubMat() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m1 = Mat4.createFloat32FromValues(
9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8);
const m2 = Mat4.createFloat32();
Mat4.subMat(m0, m1, m2);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
assertElementsEquals(
[9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8], m1);
assertElementsEquals(
[-8, -8, -8, -8, -8, -8, -8, -8, 8, 8, 8, 8, 8, 8, 8, 8], m2);
Mat4.subMat(m1, m0, m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
assertElementsEquals(
[8, 8, 8, 8, 8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, -8], m1);
},
testMultScalar() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m1 = Mat4.createFloat32();
Mat4.multScalar(m0, 2, m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
assertElementsEquals(
[2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32], m1);
Mat4.multScalar(m0, 5, m0);
assertElementsEquals(
[5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80], m0);
},
testMultMat() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m1 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m2 = Mat4.createFloat32();
Mat4.multMat(m0, m1, m2);
assertElementsEquals(
[
90, 100, 110, 120, 202, 228, 254, 280, 314, 356, 398, 440, 426, 484,
542, 600
],
m2);
Mat4.multScalar(m1, 2, m1);
Mat4.multMat(m1, m0, m1);
assertElementsEquals(
[
180, 200, 220, 240, 404, 456, 508, 560, 628, 712, 796, 880, 852, 968,
1084, 1200
],
m1);
},
testTranspose() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m1 = Mat4.createFloat32();
Mat4.transpose(m0, m1);
assertElementsEquals(
[1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16], m1);
Mat4.transpose(m1, m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m1);
},
testDeterminant() {
const m0 = Mat4.createFloat32FromValues(
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1);
assertEquals(0, Mat4.determinant(m0));
assertElementsEquals([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], m0);
Mat4.setFromValues(m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3);
assertEquals(160, Mat4.determinant(m0));
assertElementsEquals([1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3], m0);
},
testInvert() {
const m0 = Mat4.createFloat32FromValues(
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1);
assertFalse(Mat4.invert(m0, m0));
assertElementsEquals([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], m0);
Mat4.setFromValues(m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3);
assertTrue(Mat4.invert(m0, m0));
assertElementsRoughlyEqual(
[
-0.225, 0.025, 0.025, 0.275, 0.025, 0.025, 0.275, -0.225, 0.025,
0.275, -0.225, 0.025, 0.275, -0.225, 0.025, 0.025
],
m0, vec.EPSILON);
Mat4.makeScale(m0, .01, .01, .01);
assertTrue(Mat4.invert(m0, m0));
const m1 = Mat4.createFloat32();
Mat4.makeScale(m1, 100, 100, 100);
assertElementsEquals(m1, m0);
},
testEquals() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const m1 = Mat4.clone(m0);
assertTrue(Mat4.equals(m0, m1));
assertTrue(Mat4.equals(m1, m0));
for (let i = 0; i < 16; i++) {
m1[i] = 18;
assertFalse(Mat4.equals(m0, m1));
assertFalse(Mat4.equals(m1, m0));
m1[i] = i + 1;
}
},
testMultVec3() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const v0 = [1, 2, 3];
const v1 = [0, 0, 0];
Mat4.multVec3(m0, v0, v1);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([51, 58, 65], v1);
Mat4.multVec3(m0, v0, v0);
assertElementsEquals([51, 58, 65], v0);
},
testMultVec3NoTranslate() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const v0 = [1, 2, 3];
const v1 = [0, 0, 0];
Mat4.multVec3NoTranslate(m0, v0, v1);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([38, 44, 50], v1);
Mat4.multVec3NoTranslate(m0, v0, v0);
assertElementsEquals([38, 44, 50], v0);
},
testMultVec3Projective() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const v0 = [1, 2, 3];
const v1 = [0, 0, 0];
const invw = 1 / 72;
Mat4.multVec3Projective(m0, v0, v1);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([51 * invw, 58 * invw, 65 * invw], v1);
Mat4.multVec3Projective(m0, v0, v0);
assertElementsEquals([51 * invw, 58 * invw, 65 * invw], v0);
},
testMultVec4() {
const m0 = Mat4.createFloat32FromValues(
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
const v0 = [1, 2, 3, 4];
const v1 = [0, 0, 0, 0];
Mat4.multVec4(m0, v0, v1);
assertElementsEquals([90, 100, 110, 120], v1);
Mat4.multVec4(m0, v0, v0);
assertElementsEquals([90, 100, 110, 120], v0);
},
testSetValues() {
let a0 = Mat4.createFloat32();
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], a0);
a0 = Mat4.createFloat32FromArray(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], a0);
const a1 = Mat4.createFloat32();
Mat4.setDiagonalValues(a1, 1, 2, 3, 4);
assertElementsEquals([1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4], a1);
Mat4.setColumnValues(a1, 0, 2, 3, 4, 5);
Mat4.setColumnValues(a1, 1, 6, 7, 8, 9);
Mat4.setColumnValues(a1, 2, 10, 11, 12, 13);
Mat4.setColumnValues(a1, 3, 14, 15, 16, 1);
assertElementsEquals(
[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1], a1);
Mat4.setRowValues(a1, 0, 1, 5, 9, 13);
Mat4.setRowValues(a1, 1, 2, 6, 10, 14);
Mat4.setRowValues(a1, 2, 3, 7, 11, 15);
Mat4.setRowValues(a1, 3, 4, 8, 12, 16);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], a1);
},
testMakeTranslate() {
const m0 = Mat4.createFloat32();
Mat4.makeTranslate(m0, 3, 4, 5);
assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4, 5, 1], m0);
},
testMakeScale() {
const m0 = Mat4.createFloat32();
Mat4.makeScale(m0, 3, 4, 5);
assertElementsEquals([3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1], m0);
},
testMakeRotate() {
const m0 = Mat4.createFloat32();
Mat4.makeRotate(m0, Math.PI / 2, 0, 0, 1);
assertElementsRoughlyEqual(
[0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m0, vec.EPSILON);
const m1 = Mat4.createFloat32();
Mat4.makeRotate(m1, -Math.PI / 4, 0, 0, 1);
Mat4.multMat(m0, m1, m1);
assertElementsRoughlyEqual(
[
0.7071068, 0.7071068, 0, 0, -0.7071068, 0.7071068, 0, 0, 0, 0, 1, 0,
0, 0, 0, 1
],
m1, vec.EPSILON);
},
testMakeRotateX() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32();
Mat4.makeRotateX(m0, Math.PI / 7);
Mat4.makeRotate(m1, Math.PI / 7, 1, 0, 0);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testMakeRotateY() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32();
Mat4.makeRotateY(m0, Math.PI / 7);
Mat4.makeRotate(m1, Math.PI / 7, 0, 1, 0);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testMakeRotateZ() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32();
Mat4.makeRotateZ(m0, Math.PI / 7);
Mat4.makeRotate(m1, Math.PI / 7, 0, 0, 1);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testTranslate() {
const m0 = Mat4.createIdentity();
Mat4.translate(m0, 3, 4, 5);
assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4, 5, 1], m0);
Mat4.setFromValues(m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3);
const m1 = Mat4.createFloat32();
Mat4.makeTranslate(m1, 5, 6, 7);
const m2 = Mat4.createFloat32();
Mat4.multMat(m0, m1, m2);
Mat4.translate(m0, 5, 6, 7);
assertElementsEquals(m2, m0);
},
testScale() {
const m0 = Mat4.createIdentity();
Mat4.scale(m0, 3, 4, 5);
assertElementsEquals([3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1], m0);
},
testRotate() {
const m0 = Mat4.createIdentity();
Mat4.rotate(m0, Math.PI / 2, 0, 0, 1);
assertElementsRoughlyEqual(
[0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m0, vec.EPSILON);
Mat4.rotate(m0, -Math.PI / 4, 0, 0, 1);
assertElementsRoughlyEqual(
[
0.7071068, 0.7071068, 0, 0, -0.7071068, 0.7071068, 0, 0, 0, 0, 1, 0,
0, 0, 0, 1
],
m0, vec.EPSILON);
},
testRotateX() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32FromArray(randomMat4);
Mat4.makeRotateX(m0, Math.PI / 7);
Mat4.multMat(m1, m0, m0);
Mat4.rotateX(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testRotateY() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32FromArray(randomMat4);
Mat4.makeRotateY(m0, Math.PI / 7);
Mat4.multMat(m1, m0, m0);
Mat4.rotateY(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testRotateZ() {
const m0 = Mat4.createFloat32();
const m1 = Mat4.createFloat32FromArray(randomMat4);
Mat4.makeRotateZ(m0, Math.PI / 7);
Mat4.multMat(m1, m0, m0);
Mat4.rotateZ(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testGetTranslation() {
const mat = Mat4.createFloat32FromArray(randomMat4);
const translation = Vec3.createFloat32();
Mat4.getTranslation(mat, translation);
assertElementsRoughlyEqual(
[0.59465038776, 0.413479506969, 0.0663217827677], translation,
vec.EPSILON);
},
testMakeFrustum() {
const m0 = Mat4.createFloat32();
Mat4.makeFrustum(m0, -1, 2, -2, 1, .1, 1.1);
assertElementsRoughlyEqual(
[
0.06666666, 0, 0, 0, 0, 0.06666666, 0, 0, 0.33333333, -0.33333333,
-1.2, -1, 0, 0, -0.22, 0
],
m0, vec.EPSILON);
},
testMakePerspective() {
const m0 = Mat4.createFloat32();
Mat4.makePerspective(m0, 90 * Math.PI / 180, 2, 0.1, 1.1);
assertElementsRoughlyEqual(
[0.5, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1.2, -1, 0, 0, -0.22, 0], m0,
vec.EPSILON);
},
testMakeOrtho() {
const m0 = Mat4.createFloat32();
Mat4.makeOrtho(m0, -1, 2, -2, 1, 0.1, 1.1);
assertElementsRoughlyEqual(
[
0.6666666, 0, 0, 0, 0, 0.6666666, 0, 0, 0, 0, -2, 0, -0.333333,
0.3333333, -1.2, 1
],
m0, vec.EPSILON);
},
testMakeEulerZXZ() {
const m0 = Mat4.createFloat32();
const roll = 0.200982 * 2 * Math.PI;
const tilt = 0.915833 * Math.PI;
const yaw = 0.839392 * 2 * Math.PI;
Mat4.makeRotate(m0, roll, 0, 0, 1);
Mat4.rotate(m0, tilt, 1, 0, 0);
Mat4.rotate(m0, yaw, 0, 0, 1);
const m1 = Mat4.createFloat32();
Mat4.makeEulerZXZ(m1, roll, tilt, yaw);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
let euler = [0, 0, 0];
Mat4.toEulerZXZ(m0, euler);
assertRoughlyEquals(roll, euler[0], vec.EPSILON);
assertRoughlyEquals(tilt, euler[1], vec.EPSILON);
assertRoughlyEquals(yaw, euler[2], vec.EPSILON);
// Test negative tilt now.
Mat4.makeRotate(m0, roll, 0, 0, 1);
Mat4.rotate(m0, -tilt, 1, 0, 0);
Mat4.rotate(m0, yaw, 0, 0, 1);
Mat4.makeEulerZXZ(m1, roll, -tilt, yaw);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
euler = [0, 0, 0];
Mat4.toEulerZXZ(m0, euler, true);
assertRoughlyEquals(roll, euler[0], vec.EPSILON);
assertRoughlyEquals(-tilt, euler[1], vec.EPSILON);
assertRoughlyEquals(yaw, euler[2], vec.EPSILON);
},
testEulerZXZExtrema() {
const m0 = Mat4.createFloat32FromArray(
[1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1]);
const m1 = Mat4.createFloat32FromArray(
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]);
const euler = [0, 0, 0];
Mat4.toEulerZXZ(m0, euler);
assertElementsRoughlyEqual(
[Math.PI, Math.PI / 2, Math.PI], euler, vec.EPSILON);
Mat4.makeEulerZXZ(m1, euler[0], euler[1], euler[2]);
assertElementsRoughlyEqual(m0, m1, vec.EPSILON);
},
testLookAt() {
const viewMatrix = Mat4.createFloat32();
Mat4.makeLookAt(viewMatrix, [0, 0, 0], [1, 0, 0], [0, 1, 0]);
assertElementsRoughlyEqual(
[0, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], viewMatrix,
vec.EPSILON);
},
testToLookAt() {
// This test does not use the default precision goog.vec.EPSILON due to
// precision issues in some browsers leading to flaky tests.
const EPSILON = 1e-4;
const eyeExp = [0, 0, 0];
const fwdExp = [1, 0, 0];
const upExp = [0, 1, 0];
const centerExp = [0, 0, 0];
Vec3.add(eyeExp, fwdExp, centerExp);
const view = Mat4.createFloat32();
Mat4.makeLookAt(view, eyeExp, centerExp, upExp);
const eyeRes = [0, 0, 0];
const fwdRes = [0, 0, 0];
const upRes = [0, 0, 0];
Mat4.toLookAt(view, eyeRes, fwdRes, upRes);
assertElementsRoughlyEqual(eyeExp, eyeRes, EPSILON);
assertElementsRoughlyEqual(fwdExp, fwdRes, EPSILON);
assertElementsRoughlyEqual(upExp, upRes, EPSILON);
},
testLookAtDecomposition() {
// This test does not use the default precision goog.vec.EPSILON due to
// precision issues in some browsers leading to flaky tests.
const EPSILON = 1e-4;
const viewExp = Mat4.createFloat32();
const viewRes = Mat4.createFloat32();
// Get a valid set of random vectors eye, forward, up by decomposing
// a random matrix into a set of lookAt vectors.
const tmp = Mat4.createFloat32FromArray(randomMat4);
const eyeExp = [0, 0, 0];
const fwdExp = [0, 0, 0];
const upExp = [0, 0, 0];
const centerExp = [0, 0, 0];
// Project the random matrix into a real modelview matrix.
Mat4.toLookAt(tmp, eyeExp, fwdExp, upExp);
Vec3.add(eyeExp, fwdExp, centerExp);
// Compute the expected modelview matrix from a set of valid random vectors.
Mat4.makeLookAt(viewExp, eyeExp, centerExp, upExp);
const eyeRes = [0, 0, 0];
const fwdRes = [0, 0, 0];
const upRes = [0, 0, 0];
const centerRes = [0, 0, 0];
Mat4.toLookAt(viewExp, eyeRes, fwdRes, upRes);
Vec3.add(eyeRes, fwdRes, centerRes);
Mat4.makeLookAt(viewRes, eyeRes, centerRes, upRes);
assertElementsRoughlyEqual(eyeExp, eyeRes, EPSILON);
assertElementsRoughlyEqual(fwdExp, fwdRes, EPSILON);
assertElementsRoughlyEqual(upExp, upRes, EPSILON);
assertElementsRoughlyEqual(viewExp, viewRes, EPSILON);
},
});
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