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// Copyright 2013 The Closure Library Authors. All Rights Reserved.
// Use of this source code is governed by the Apache License, Version 2.0.
////////////////////////// NOTE ABOUT EDITING THIS FILE ///////////////////////
// //
// Any edits to this file must be applied to mat4f_test.js by running: //
// swap_type.sh mat4d_test.js > mat4f_test.js //
// //
////////////////////////// NOTE ABOUT EDITING THIS FILE ///////////////////////
goog.provide('goog.vec.mat4dTest');
goog.setTestOnly('goog.vec.mat4dTest');
goog.require('goog.vec.Quaternion');
goog.require('goog.vec.mat4d');
goog.require('goog.testing.jsunit');
var randommat4d = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
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);
function testCreate() {
var m = goog.vec.mat4d.create();
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m);
}
function testCreateIdentity() {
var m = goog.vec.mat4d.createIdentity();
assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m);
}
function testSet() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(),
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
goog.vec.mat4d.setFromArray(m0, m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
goog.vec.mat4d.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);
}
function testSetDiagonal() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.setDiagonalValues(m0, 1, 2, 3, 4);
assertElementsEquals(
[1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4], m0);
goog.vec.mat4d.setDiagonal(m0, [4, 5, 6, 7]);
assertElementsEquals(
[4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 7], m0);
}
function testGetDiagonal() {
var v0 = goog.vec.vec4d.create();
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.setFromArray(
m0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]);
goog.vec.mat4d.getDiagonal(m0, v0);
assertElementsEquals([0, 5, 10, 15], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, 1);
assertElementsEquals([4, 9, 14, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, 2);
assertElementsEquals([8, 13, 0, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, 3);
assertElementsEquals([12, 0, 0, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, 4);
assertElementsEquals([0, 0, 0, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, -1);
assertElementsEquals([1, 6, 11, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, -2);
assertElementsEquals([2, 7, 0, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, -3);
assertElementsEquals([3, 0, 0, 0], v0);
goog.vec.vec4d.setFromArray(v0, [0, 0, 0, 0]);
goog.vec.mat4d.getDiagonal(m0, v0, -4);
assertElementsEquals([0, 0, 0, 0], v0);
}
function testSetGetColumn() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.setColumn(m0, 0, [1, 2, 3, 4]);
goog.vec.mat4d.setColumn(m0, 1, [5, 6, 7, 8]);
goog.vec.mat4d.setColumn(m0, 2, [9, 10, 11, 12]);
goog.vec.mat4d.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);
var v0 = [0, 0, 0, 0];
goog.vec.mat4d.getColumn(m0, 0, v0);
assertElementsEquals([1, 2, 3, 4], v0);
goog.vec.mat4d.getColumn(m0, 1, v0);
assertElementsEquals([5, 6, 7, 8], v0);
goog.vec.mat4d.getColumn(m0, 2, v0);
assertElementsEquals([9, 10, 11, 12], v0);
goog.vec.mat4d.getColumn(m0, 3, v0);
assertElementsEquals([13, 14, 15, 16], v0);
}
function testSetGetColumns() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.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);
var v0 = [0, 0, 0, 0], v1 = [0, 0, 0, 0];
var v2 = [0, 0, 0, 0], v3 = [0, 0, 0, 0];
goog.vec.mat4d.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);
}
function testSetGetRow() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.setRow(m0, 0, [1, 2, 3, 4]);
goog.vec.mat4d.setRow(m0, 1, [5, 6, 7, 8]);
goog.vec.mat4d.setRow(m0, 2, [9, 10, 11, 12]);
goog.vec.mat4d.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);
var v0 = [0, 0, 0, 0];
goog.vec.mat4d.getRow(m0, 0, v0);
assertElementsEquals([1, 2, 3, 4], v0);
goog.vec.mat4d.getRow(m0, 1, v0);
assertElementsEquals([5, 6, 7, 8], v0);
goog.vec.mat4d.getRow(m0, 2, v0);
assertElementsEquals([9, 10, 11, 12], v0);
goog.vec.mat4d.getRow(m0, 3, v0);
assertElementsEquals([13, 14, 15, 16], v0);
}
function testSetGetRows() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.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);
var v0 = [0, 0, 0, 0], v1 = [0, 0, 0, 0];
var v2 = [0, 0, 0, 0], v3 = [0, 0, 0, 0];
goog.vec.mat4d.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);
}
function testMakeZero() {
var m0 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(),
[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);
goog.vec.mat4d.makeZero(m0);
assertElementsEquals(
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
}
function testMakeIdentity() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.makeIdentity(m0);
assertElementsEquals(
[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m0);
}
function testSetGetElement() {
var m0 = goog.vec.mat4d.create();
for (var r = 0; r < 4; r++) {
for (var c = 0; c < 4; c++) {
var value = c * 4 + r + 1;
goog.vec.mat4d.setElement(m0, r, c, value);
assertEquals(value, goog.vec.mat4d.getElement(m0, r, c));
}
}
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0);
}
function testAddMat() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m1 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8);
var m2 = goog.vec.mat4d.create();
goog.vec.mat4d.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);
goog.vec.mat4d.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);
}
function testSubMat() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m1 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8);
var m2 = goog.vec.mat4d.create();
goog.vec.mat4d.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);
goog.vec.mat4d.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);
}
function testMultScalar() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m1 = goog.vec.mat4d.create();
goog.vec.mat4d.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);
goog.vec.mat4d.multScalar(m0, 5, m0);
assertElementsEquals(
[5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80], m0);
}
function testMultMat() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m1 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m2 = goog.vec.mat4d.create();
goog.vec.mat4d.multMat(m0, m1, m2);
assertElementsEquals(
[90, 100, 110, 120, 202, 228, 254, 280,
314, 356, 398, 440, 426, 484, 542, 600], m2);
goog.vec.mat4d.multScalar(m1, 2, m1);
goog.vec.mat4d.multMat(m1, m0, m1);
assertElementsEquals(
[180, 200, 220, 240, 404, 456, 508, 560,
628, 712, 796, 880, 852, 968, 1084, 1200], m1);
}
function testTranspose() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m1 = goog.vec.mat4d.create();
goog.vec.mat4d.transpose(m0, m1);
assertElementsEquals(
[1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16], m1);
goog.vec.mat4d.transpose(m1, m1);
assertElementsEquals(
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m1);
}
function testDeterminant() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1);
assertEquals(0, goog.vec.mat4d.determinant(m0));
assertElementsEquals(
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], m0);
goog.vec.mat4d.setFromValues(
m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3);
assertEquals(160, goog.vec.mat4d.determinant(m0));
assertElementsEquals(
[1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3], m0);
}
function testInvert() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1);
assertFalse(goog.vec.mat4d.invert(m0, m0));
assertElementsEquals(
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], m0);
goog.vec.mat4d.setFromValues(
m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3);
assertTrue(goog.vec.mat4d.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,
goog.vec.EPSILON);
goog.vec.mat4d.makeScale(m0, .01, .01, .01);
assertTrue(goog.vec.mat4d.invert(m0, m0));
var m1 = goog.vec.mat4d.create();
goog.vec.mat4d.makeScale(m1, 100, 100, 100);
assertElementsEquals(m1, m0);
}
function testEquals() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var m1 = goog.vec.mat4d.setFromMat4d(goog.vec.mat4d.create(), m0);
assertTrue(goog.vec.mat4d.equals(m0, m1));
assertTrue(goog.vec.mat4d.equals(m1, m0));
for (var i = 0; i < 16; i++) {
m1[i] = 18;
assertFalse(goog.vec.mat4d.equals(m0, m1));
assertFalse(goog.vec.mat4d.equals(m1, m0));
m1[i] = i + 1;
}
}
function testMultVec3() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var v0 = [1, 2, 3];
var v1 = [0, 0, 0];
goog.vec.mat4d.multVec3(m0, v0, v1);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([51, 58, 65], v1);
goog.vec.mat4d.multVec3(m0, v0, v0);
assertElementsEquals([51, 58, 65], v0);
}
function testMultVec3NoTranslate() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var v0 = [1, 2, 3];
var v1 = [0, 0, 0];
goog.vec.mat4d.multVec3NoTranslate(m0, v0, v1);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([38, 44, 50], v1);
goog.vec.mat4d.multVec3NoTranslate(m0, v0, v0);
assertElementsEquals([38, 44, 50], v0);
}
function testMultVec3Projective() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var v0 = [1, 2, 3];
var v1 = [0, 0, 0];
var invw = 1 / 72;
goog.vec.mat4d.multVec3Projective(m0, v0, v1);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals(
[51 * invw, 58 * invw, 65 * invw], v1);
goog.vec.mat4d.multVec3Projective(m0, v0, v0);
assertElementsEquals(
[51 * invw, 58 * invw, 65 * invw], v0);
}
function testMultVec4() {
var m0 = goog.vec.mat4d.setFromValues(goog.vec.mat4d.create(),
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16);
var v0 = [1, 2, 3, 4];
var v1 = [0, 0, 0, 0];
goog.vec.mat4d.multVec4(m0, v0, v1);
assertElementsEquals([90, 100, 110, 120], v1);
goog.vec.mat4d.multVec4(m0, v0, v0);
assertElementsEquals([90, 100, 110, 120], v0);
}
function testSetValues() {
var a0 = goog.vec.mat4d.create();
assertElementsEquals(
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], a0);
a0 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(),
[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);
var a1 = goog.vec.mat4d.create();
goog.vec.mat4d.setDiagonalValues(a1, 1, 2, 3, 4);
assertElementsEquals(
[1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4], a1);
goog.vec.mat4d.setColumnValues(a1, 0, 2, 3, 4, 5);
goog.vec.mat4d.setColumnValues(a1, 1, 6, 7, 8, 9);
goog.vec.mat4d.setColumnValues(a1, 2, 10, 11, 12, 13);
goog.vec.mat4d.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);
goog.vec.mat4d.setRowValues(a1, 0, 1, 5, 9, 13);
goog.vec.mat4d.setRowValues(a1, 1, 2, 6, 10, 14);
goog.vec.mat4d.setRowValues(a1, 2, 3, 7, 11, 15);
goog.vec.mat4d.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);
}
function testMakeTranslate() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.makeTranslate(m0, 3, 4, 5);
assertElementsEquals(
[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4, 5, 1], m0);
}
function testMakeScale() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.makeScale(m0, 3, 4, 5);
assertElementsEquals(
[3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1], m0);
}
function testMakeRotate() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.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, goog.vec.EPSILON);
var m1 = goog.vec.mat4d.create();
goog.vec.mat4d.makeRotate(m1, -Math.PI / 4, 0, 0, 1);
goog.vec.mat4d.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, goog.vec.EPSILON);
}
function testMakeRotateX() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.create()
goog.vec.mat4d.makeRotateX(m0, Math.PI / 7);
goog.vec.mat4d.makeRotate(m1, Math.PI / 7, 1, 0, 0);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotateY() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.create()
goog.vec.mat4d.makeRotateY(m0, Math.PI / 7);
goog.vec.mat4d.makeRotate(m1, Math.PI / 7, 0, 1, 0);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotateZ() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.create()
goog.vec.mat4d.makeRotateZ(m0, Math.PI / 7);
goog.vec.mat4d.makeRotate(m1, Math.PI / 7, 0, 0, 1);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testTranslate() {
var m0 = goog.vec.mat4d.makeIdentity(goog.vec.mat4d.create());
goog.vec.mat4d.translate(m0, 3, 4, 5);
assertElementsEquals(
[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4, 5, 1], m0);
goog.vec.mat4d.setFromValues(
m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3);
var m1 = goog.vec.mat4d.create();
goog.vec.mat4d.makeTranslate(m1, 5, 6, 7);
var m2 = goog.vec.mat4d.create();
goog.vec.mat4d.multMat(m0, m1, m2);
goog.vec.mat4d.translate(m0, 5, 6, 7);
assertElementsEquals(m2, m0);
}
function testScale() {
var m0 = goog.vec.mat4d.makeIdentity(goog.vec.mat4d.create());
goog.vec.mat4d.scale(m0, 3, 4, 5);
assertElementsEquals([3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1], m0);
}
function testRotate() {
var m0 = goog.vec.mat4d.makeIdentity(goog.vec.mat4d.create());
goog.vec.mat4d.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, goog.vec.EPSILON);
goog.vec.mat4d.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, goog.vec.EPSILON);
}
function testRotateX() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(), randommat4d)
goog.vec.mat4d.makeRotateX(m0, Math.PI / 7);
goog.vec.mat4d.multMat(m1, m0, m0);
goog.vec.mat4d.rotateX(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testRotateY() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(), randommat4d)
goog.vec.mat4d.makeRotateY(m0, Math.PI / 7);
goog.vec.mat4d.multMat(m1, m0, m0);
goog.vec.mat4d.rotateY(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testRotateZ() {
var m0 = goog.vec.mat4d.create();
var m1 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(), randommat4d)
goog.vec.mat4d.makeRotateZ(m0, Math.PI / 7);
goog.vec.mat4d.multMat(m1, m0, m0);
goog.vec.mat4d.rotateZ(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotationTranslation() {
// Create manually.
var m0 = goog.vec.mat4d.makeIdentity(goog.vec.mat4d.create());
goog.vec.mat4d.translate(m0, 3, 4, 5);
goog.vec.mat4d.rotate(m0, Math.PI / 2, 3 / 13, 4 / 13, 12 / 13);
// Create using makeRotationTranslation.
var m1 = goog.vec.mat4d.create();
var q = goog.vec.Quaternion.createFloat64();
var axis = goog.vec.vec3d.createFromValues(3 / 13, 4 / 13, 12 / 13);
goog.vec.Quaternion.fromAngleAxis(Math.PI / 2, axis, q);
var v = goog.vec.vec3d.createFromValues(3, 4, 5);
goog.vec.mat4d.makeRotationTranslation(m1, q, v);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotationTranslationScale() {
// Create manually.
var m0 = goog.vec.mat4d.makeIdentity(goog.vec.mat4d.create());
goog.vec.mat4d.translate(m0, 3, 4, 5);
goog.vec.mat4d.rotate(m0, Math.PI / 2, 3 / 13, 4 / 13, 12 / 13);
goog.vec.mat4d.scale(m0, 6, 7, 8);
// Create using makeRotationTranslationScale.
var m1 = goog.vec.mat4d.create();
var q = goog.vec.Quaternion.createFloat64();
var axis = goog.vec.vec3d.createFromValues(3 / 13, 4 / 13, 12 / 13);
goog.vec.Quaternion.fromAngleAxis(Math.PI / 2, axis, q);
var v = goog.vec.vec3d.createFromValues(3, 4, 5);
var s = goog.vec.vec3d.createFromValues(6, 7, 8);
goog.vec.mat4d.makeRotationTranslationScale(m1, q, v, s);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotationTranslationScaleOrigin() {
// Create manually.
var m0 = goog.vec.mat4d.makeIdentity(goog.vec.mat4d.create());
goog.vec.mat4d.translate(m0, 3, 4, 5);
goog.vec.mat4d.translate(m0, 9, 10, -11); // Origin.
goog.vec.mat4d.rotate(m0, Math.PI / 2, 3 / 13, 4 / 13, 12 / 13);
goog.vec.mat4d.scale(m0, 6, 7, 8);
goog.vec.mat4d.translate(m0, -9, -10, 11); // -Origin.
// Create using makeRotationTranslationScaleOrigin.
var m1 = goog.vec.mat4d.create();
var q = goog.vec.Quaternion.createFloat64();
var axis = goog.vec.vec3d.createFromValues(3 / 13, 4 / 13, 12 / 13);
goog.vec.Quaternion.fromAngleAxis(Math.PI / 2, axis, q);
var v = goog.vec.vec3d.createFromValues(3, 4, 5);
var s = goog.vec.vec3d.createFromValues(6, 7, 8);
var o = goog.vec.vec3d.createFromValues(9, 10, -11);
goog.vec.mat4d.makeRotationTranslationScaleOrigin(m1, q, v, s, o);
assertElementsRoughlyEqual(m0, m1, 0.00001); // Slightly larger epsilon.
}
function testGetTranslation() {
var mat = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(), randommat4d);
var translation = goog.vec.vec3d.create();
goog.vec.mat4d.getTranslation(mat, translation);
assertElementsRoughlyEqual(
[0.59465038776, 0.413479506969, 0.0663217827677],
translation, goog.vec.EPSILON);
}
function testMakeFrustum() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.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, goog.vec.EPSILON);
}
function testMakePerspective() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.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, goog.vec.EPSILON);
}
function testMakeOrtho() {
var m0 = goog.vec.mat4d.create();
goog.vec.mat4d.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, goog.vec.EPSILON);
}
function testMakeEulerZXZ() {
var m0 = goog.vec.mat4d.create();
var roll = 0.200982 * 2 * Math.PI;
var tilt = 0.915833 * Math.PI;
var yaw = 0.839392 * 2 * Math.PI;
goog.vec.mat4d.makeRotate(m0, roll, 0, 0, 1);
goog.vec.mat4d.rotate(m0, tilt, 1, 0, 0);
goog.vec.mat4d.rotate(m0, yaw, 0, 0, 1);
var m1 = goog.vec.mat4d.create();
goog.vec.mat4d.makeEulerZXZ(m1, roll, tilt, yaw);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
var euler = [0, 0, 0];
goog.vec.mat4d.toEulerZXZ(m0, euler);
assertRoughlyEquals(roll, euler[0], goog.vec.EPSILON);
assertRoughlyEquals(tilt, euler[1], goog.vec.EPSILON);
assertRoughlyEquals(yaw, euler[2], goog.vec.EPSILON);
// Test negative tilt now.
goog.vec.mat4d.makeRotate(m0, roll, 0, 0, 1);
goog.vec.mat4d.rotate(m0, -tilt, 1, 0, 0);
goog.vec.mat4d.rotate(m0, yaw, 0, 0, 1);
goog.vec.mat4d.makeEulerZXZ(m1, roll, -tilt, yaw);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
var euler = [0, 0, 0];
goog.vec.mat4d.toEulerZXZ(m0, euler, true);
assertRoughlyEquals(roll, euler[0], goog.vec.EPSILON);
assertRoughlyEquals(-tilt, euler[1], goog.vec.EPSILON);
assertRoughlyEquals(yaw, euler[2], goog.vec.EPSILON);
}
function testEulerZXZExtrema() {
var m0 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(),
[1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1]);
var m1 = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(),
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]);
var euler = [0, 0, 0];
goog.vec.mat4d.toEulerZXZ(m0, euler);
assertElementsRoughlyEqual(
[Math.PI, Math.PI / 2, Math.PI], euler, goog.vec.EPSILON);
goog.vec.mat4d.makeEulerZXZ(m1, euler[0], euler[1], euler[2]);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testLookAt() {
var viewMatrix = goog.vec.mat4d.create();
goog.vec.mat4d.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,
goog.vec.EPSILON);
}
function testToLookAt() {
// This test does not use the default precision goog.vec.EPSILON due to
// precision issues in some browsers leading to flaky tests.
var EPSILON = 1e-4;
var eyeExp = [0, 0, 0];
var fwdExp = [1, 0, 0];
var upExp = [0, 1, 0];
var centerExp = [0, 0, 0];
goog.vec.vec3d.add(eyeExp, fwdExp, centerExp);
var view = goog.vec.mat4d.create();
goog.vec.mat4d.makeLookAt(view, eyeExp, centerExp, upExp);
var eyeRes = [0, 0, 0];
var fwdRes = [0, 0, 0];
var upRes = [0, 0, 0];
goog.vec.mat4d.toLookAt(view, eyeRes, fwdRes, upRes);
assertElementsRoughlyEqual(eyeExp, eyeRes, EPSILON);
assertElementsRoughlyEqual(fwdExp, fwdRes, EPSILON);
assertElementsRoughlyEqual(upExp, upRes, EPSILON);
}
function testLookAtDecomposition() {
// This test does not use the default precision goog.vec.EPSILON due to
// precision issues in some browsers leading to flaky tests.
var EPSILON = 1e-4;
var viewExp = goog.vec.mat4d.create();
var viewRes = goog.vec.mat4d.create();
// Get a valid set of random vectors eye, forward, up by decomposing
// a random matrix into a set of lookAt vectors.
var tmp = goog.vec.mat4d.setFromArray(goog.vec.mat4d.create(), randommat4d);
var eyeExp = [0, 0, 0];
var fwdExp = [0, 0, 0];
var upExp = [0, 0, 0];
var centerExp = [0, 0, 0];
// Project the random matrix into a real modelview matrix.
goog.vec.mat4d.toLookAt(tmp, eyeExp, fwdExp, upExp);
goog.vec.vec3d.add(eyeExp, fwdExp, centerExp);
// Compute the expected modelview matrix from a set of valid random vectors.
goog.vec.mat4d.makeLookAt(viewExp, eyeExp, centerExp, upExp);
var eyeRes = [0, 0, 0];
var fwdRes = [0, 0, 0];
var upRes = [0, 0, 0];
var centerRes = [0, 0, 0];
goog.vec.mat4d.toLookAt(viewExp, eyeRes, fwdRes, upRes);
goog.vec.vec3d.add(eyeRes, fwdRes, centerRes);
goog.vec.mat4d.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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