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-<!DOCTYPE html>
-<html>
-<!--
-Copyright 2011 The Closure Library Authors. All Rights Reserved.
-
-Use of this source code is governed by the Apache License, Version 2.0.
-See the COPYING file for details.
--->
-<head>
-<meta http-equiv="X-UA-Compatible" content="IE=edge">
-<title>Closure Unit Tests - goog.vec.Mat3</title>
-<script src="../base.js"></script>
-<script>
- goog.require('goog.vec.Mat3');
- goog.require('goog.testing.jsunit');
-</script>
-</head>
-<body>
-<script>
-
- var randomMat3 = goog.vec.Mat3.createFloat32FromValues(
- 0.8025078773498535,
- 0.7559120655059814,
- 0.15274643898010254,
- 0.19196106493473053,
- 0.0890120416879654,
- 0.15422114729881287,
- 0.09754583984613419,
- 0.44862601161003113,
- 0.9196512699127197);
-
- function testDeprecatedConstructor() {
- var m0 = goog.vec.Mat3.create();
- assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
-
- var m1 = goog.vec.Mat3.createFromArray([1, 2, 3, 4, 5, 6, 7, 8, 9]);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1);
-
- var m2 = goog.vec.Mat3.createFromArray(m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m2);
-
- var m3 = goog.vec.Mat3.createFromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m3);
-
- var m4 = goog.vec.Mat3.createIdentity();
- assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m4);
- }
-
- function testConstructor() {
- var m0 = goog.vec.Mat3.createFloat32();
- assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
-
- var m1 = goog.vec.Mat3.createFloat32FromArray([1, 2, 3, 4, 5, 6, 7, 8, 9]);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1);
-
- var m2 = goog.vec.Mat3.createFloat32FromArray(m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m2);
-
- var m3 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m3);
-
- var m4 = goog.vec.Mat3.createFloat32Identity();
- assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m4);
-
- var n0 = goog.vec.Mat3.createFloat64();
- assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], n0);
-
- var n1 = goog.vec.Mat3.createFloat64FromArray([1, 2, 3, 4, 5, 6, 7, 8, 9]);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], n1);
-
- var n2 = goog.vec.Mat3.createFloat64FromArray(n1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], n1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], n2);
-
- var n3 = goog.vec.Mat3.createFloat64FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], n3);
-
- var n4 = goog.vec.Mat3.createFloat64Identity();
- assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], n4);
- }
-
- function testSet() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFromArray([1, 2, 3, 4, 5, 6, 7, 8, 9]);
- goog.vec.Mat3.setFromArray(m0, m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
-
- goog.vec.Mat3.setFromValues(m0, 2, 3, 4, 5, 6, 7, 8, 9, 10);
- assertElementsEquals([2, 3, 4, 5, 6, 7, 8, 9, 10], m0);
- }
-
- function testSetDiagonal() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setDiagonalValues(m0, 1, 2, 3);
- assertElementsEquals([1, 0, 0, 0, 2, 0, 0, 0, 3], m0);
-
- goog.vec.Mat3.setDiagonal(m0, [4, 5, 6]);
- assertElementsEquals([4, 0, 0, 0, 5, 0, 0, 0, 6], m0);
- }
-
- function testSetGetColumn() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setColumn(m0, 0, [1, 2, 3]);
- goog.vec.Mat3.setColumn(m0, 1, [4, 5, 6]);
- goog.vec.Mat3.setColumn(m0, 2, [7, 8, 9]);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
-
- var v0 = [0, 0, 0];
- goog.vec.Mat3.getColumn(m0, 0, v0);
- assertElementsEquals([1, 2, 3], v0);
- goog.vec.Mat3.getColumn(m0, 1, v0);
- assertElementsEquals([4, 5, 6], v0);
- goog.vec.Mat3.getColumn(m0, 2, v0);
- assertElementsEquals([7, 8, 9], v0);
- }
-
- function testSetGetColumns() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setColumns(m0, [1, 2, 3], [4, 5, 6], [7, 8, 9]);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
-
- var v0 = [0, 0, 0], v1 = [0, 0, 0], v2 = [0, 0, 0];
- goog.vec.Mat3.getColumns(m0, v0, v1, v2);
- assertElementsEquals([1, 2, 3], v0);
- assertElementsEquals([4, 5, 6], v1);
- assertElementsEquals([7, 8, 9], v2);
- }
-
- function testSetGetRow() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setRow(m0, 0, [1, 2, 3]);
- goog.vec.Mat3.setRow(m0, 1, [4, 5, 6]);
- goog.vec.Mat3.setRow(m0, 2, [7, 8, 9]);
- assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m0);
-
- var v0 = [0, 0, 0];
- goog.vec.Mat3.getRow(m0, 0, v0);
- assertElementsEquals([1, 2, 3], v0);
- goog.vec.Mat3.getRow(m0, 1, v0);
- assertElementsEquals([4, 5, 6], v0);
- goog.vec.Mat3.getRow(m0, 2, v0);
- assertElementsEquals([7, 8, 9], v0);
- }
-
- function testSetGetRows() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setRows(m0, [1, 2, 3], [4, 5, 6], [7, 8, 9]);
- assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m0);
-
- var v0 = [0, 0, 0], v1 = [0, 0, 0], v2 = [0, 0, 0];
- goog.vec.Mat3.getRows(m0, v0, v1, v2);
- assertElementsEquals([1, 2, 3], v0);
- assertElementsEquals([4, 5, 6], v1);
- assertElementsEquals([7, 8, 9], v2);
- }
-
- function testSetRowMajorArray() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setFromRowMajorArray(
- m0, [1, 2, 3, 4, 5, 6, 7, 8, 9]);
- assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m0);
- }
-
- function testMakeZero() {
- var m0 = goog.vec.Mat3.createFromArray([1, 2, 3, 4, 5, 6, 7, 8, 9]);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
- goog.vec.Mat3.makeZero(m0);
- assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
- }
-
- function testMakeIdentity() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.makeIdentity(m0);
- assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m0);
- }
-
- function testSetGetElement() {
- var m0 = goog.vec.Mat3.createFloat32();
- for (var r = 0; r < 3; r++) {
- for (var c = 0; c < 3; c++) {
- var value = c * 3 + r + 1;
- goog.vec.Mat3.setElement(m0, r, c, value);
- assertEquals(value, goog.vec.Mat3.getElement(m0, r, c));
- }
- }
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
- }
-
- function testAddMat() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m1 = goog.vec.Mat3.createFloat32FromValues(3, 4, 5, 6, 7, 8, 9, 1, 2);
- var m2 = goog.vec.Mat3.create();
- goog.vec.Mat3.addMat(m0, m1, m2);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
- assertElementsEquals([3, 4, 5, 6, 7, 8, 9, 1, 2], m1);
- assertElementsEquals([4, 6, 8, 10, 12, 14, 16, 9, 11], m2);
-
- goog.vec.Mat3.addMat(m0, m1, m0);
- assertElementsEquals([3, 4, 5, 6, 7, 8, 9, 1, 2], m1);
- assertElementsEquals([4, 6, 8, 10, 12, 14, 16, 9, 11], m0);
- }
-
- function testSubMat() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m1 = goog.vec.Mat3.createFloat32FromValues(3, 4, 5, 6, 7, 8, 9, 1, 2);
- var m2 = goog.vec.Mat3.create();
-
- goog.vec.Mat3.subMat(m0, m1, m2);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
- assertElementsEquals([3, 4, 5, 6, 7, 8, 9, 1, 2], m1);
- assertElementsEquals([-2, -2, -2, -2, -2, -2, -2, 7, 7], m2);
-
- goog.vec.Mat3.subMat(m1, m0, m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
- assertElementsEquals([2, 2, 2, 2, 2, 2, 2, -7, -7], m1);
- }
-
- function testMultScalar() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m1 = goog.vec.Mat3.createFloat32();
-
- goog.vec.Mat3.multScalar(m0, 5, m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
- assertElementsEquals([5, 10, 15, 20, 25, 30, 35, 40, 45], m1);
-
- goog.vec.Mat3.multScalar(m0, 5, m0);
- assertElementsEquals([5, 10, 15, 20, 25, 30, 35, 40, 45], m0);
- }
-
- function testMultMat() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m1 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m2 = goog.vec.Mat3.create();
-
- goog.vec.Mat3.multMat(m0, m1, m2);
- assertElementsEquals([30, 36, 42, 66, 81, 96, 102, 126, 150], m2);
-
- goog.vec.Mat3.addMat(m0, m1, m1);
- goog.vec.Mat3.multMat(m0, m1, m1);
- assertElementsEquals([60, 72, 84, 132, 162, 192, 204, 252, 300], m1);
- }
-
- function testTranspose() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m1 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.transpose(m0, m1);
- assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m1);
- goog.vec.Mat3.transpose(m1, m1);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1);
- }
-
- function testInvert() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 1, 1, 1, 1, 1, 1, 1, 1);
- assertFalse(goog.vec.Mat3.invert(m0, m0));
- assertElementsEquals([1, 1, 1, 1, 1, 1, 1, 1, 1], m0);
-
- goog.vec.Mat3.setFromValues(m0, 1, 2, 3, 1, 3, 4, 3, 4, 5);
- assertTrue(goog.vec.Mat3.invert(m0, m0));
- assertElementsEquals([0.5, -1.0, 0.5, -3.5, 2.0, 0.5, 2.5, -1.0, -0.5], m0);
-
- goog.vec.Mat3.makeScale(m0, .01, .01, .01);
- assertTrue(goog.vec.Mat3.invert(m0, m0));
- var m1 = goog.vec.Mat3.create();
- goog.vec.Mat3.makeScale(m1, 100, 100, 100);
- assertElementsEquals(m1, m0);
- }
-
- function testEquals() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var m1 = goog.vec.Mat3.createFromArray(m0);
- assertTrue(goog.vec.Mat3.equals(m0, m1));
- assertTrue(goog.vec.Mat3.equals(m1, m0));
- for (var i = 0; i < 9; i++) {
- m1[i] = 15;
- assertFalse(goog.vec.Mat3.equals(m0, m1));
- assertFalse(goog.vec.Mat3.equals(m1, m0));
- m1[i] = i + 1;
- }
- }
-
- function testMultVec3() {
- var m0 = goog.vec.Mat3.createFloat32FromValues(1, 2, 3, 4, 5, 6, 7, 8, 9);
- var v0 = [1, 2, 3];
- var v1 = [0, 0, 0];
-
- goog.vec.Mat3.multVec3(m0, v0, v1);
- assertElementsEquals([30, 36, 42], v1);
- goog.vec.Mat3.multVec3(m0, v0, v0);
- assertElementsEquals([30, 36, 42], v0);
- }
-
- function testSetValues() {
- var a0 = goog.vec.Mat3.createFloat32();
- assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], a0);
- goog.vec.Mat3.setFromValues(a0, 1, 2, 3, 4, 5, 6, 7, 8, 9);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], a0);
-
- var a1 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.setDiagonalValues(a1, 1, 2, 3);
- assertElementsEquals([1, 0, 0, 0, 2, 0, 0, 0, 3], a1);
-
- goog.vec.Mat3.setColumnValues(a1, 0, 2, 3, 4);
- goog.vec.Mat3.setColumnValues(a1, 1, 5, 6, 7);
- goog.vec.Mat3.setColumnValues(a1, 2, 8, 9, 1);
- assertElementsEquals([2, 3, 4, 5, 6, 7, 8, 9, 1], a1);
-
- goog.vec.Mat3.setRowValues(a1, 0, 1, 4, 7);
- goog.vec.Mat3.setRowValues(a1, 1, 2, 5, 8);
- goog.vec.Mat3.setRowValues(a1, 2, 3, 6, 9);
- assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], a1);
- }
-
- function testMakeTranslate() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.makeTranslate(m0, 3, 4);
- assertElementsEquals([1, 0, 0, 0, 1, 0, 3, 4, 1], m0);
- }
-
- function testMakeScale() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.makeScale(m0, 3, 4, 5);
- assertElementsEquals([3, 0, 0, 0, 4, 0, 0, 0, 5], m0);
- }
-
- function testMakeRotate() {
- var m0 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.makeRotate(m0, Math.PI / 2, 0, 0, 1);
- var v0 = [0, 1, 0, -1, 0, 0, 0, 0, 1];
- assertElementsRoughlyEqual(m0, v0, goog.vec.EPSILON);
-
- var m1 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.makeRotate(m1, -Math.PI / 4, 0, 0, 1);
- goog.vec.Mat3.multMat(m0, m1, m1);
- var v1 = [0.7071068, 0.7071068, 0, -0.7071068, 0.7071068, 0, 0, 0, 1];
- assertElementsRoughlyEqual(m1, v1, goog.vec.EPSILON);
- }
-
- function testMakeRotateX() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFloat32()
-
- goog.vec.Mat3.makeRotateX(m0, Math.PI / 7);
- goog.vec.Mat3.makeRotate(m1, Math.PI / 7, 1, 0, 0);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
- function testMakeRotateY() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFloat32()
-
- goog.vec.Mat3.makeRotateY(m0, Math.PI / 7);
- goog.vec.Mat3.makeRotate(m1, Math.PI / 7, 0, 1, 0);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
- function testMakeRotateZ() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFloat32()
-
- goog.vec.Mat3.makeRotateZ(m0, Math.PI / 7);
- goog.vec.Mat3.makeRotate(m1, Math.PI / 7, 0, 0, 1);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
- function testRotate() {
- var m0 = goog.vec.Mat3.createIdentity();
- goog.vec.Mat3.rotate(m0, Math.PI / 2, 0, 0, 1);
- assertElementsRoughlyEqual(
- [0, 1, 0, -1, 0, 0, 0, 0, 1],
- m0, goog.vec.EPSILON);
-
- goog.vec.Mat3.rotate(m0, -Math.PI / 4, 0, 0, 1);
- assertElementsRoughlyEqual(
- [0.7071068, 0.7071068, 0,
- -0.7071068, 0.7071068, 0,
- 0, 0, 1],
- m0, goog.vec.EPSILON);
- }
-
- function testRotateX() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFloat32FromArray(randomMat3)
-
- goog.vec.Mat3.makeRotateX(m0, Math.PI / 7);
- goog.vec.Mat3.multMat(m1, m0, m0);
- goog.vec.Mat3.rotateX(m1, Math.PI / 7);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
- function testRotateY() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFloat32FromArray(randomMat3)
-
- goog.vec.Mat3.makeRotateY(m0, Math.PI / 7);
- goog.vec.Mat3.multMat(m1, m0, m0);
- goog.vec.Mat3.rotateY(m1, Math.PI / 7);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
- function testRotateZ() {
- var m0 = goog.vec.Mat3.createFloat32();
- var m1 = goog.vec.Mat3.createFloat32FromArray(randomMat3)
-
- goog.vec.Mat3.makeRotateZ(m0, Math.PI / 7);
- goog.vec.Mat3.multMat(m1, m0, m0);
- goog.vec.Mat3.rotateZ(m1, Math.PI / 7);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
- function testMakeEulerZXZ() {
- var m0 = goog.vec.Mat3.createFloat32();
- var roll = 0.200982 * 2 * Math.PI;
- var tilt = 0.915833 * Math.PI;
- var yaw = 0.839392 * 2 * Math.PI;
-
- goog.vec.Mat3.makeRotate(m0, roll, 0, 0, 1);
- goog.vec.Mat3.rotate(m0, tilt, 1, 0, 0);
- goog.vec.Mat3.rotate(m0, yaw, 0, 0, 1);
-
- var m1 = goog.vec.Mat3.createFloat32();
- goog.vec.Mat3.makeEulerZXZ(m1, roll, tilt, yaw);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
-
-
- var euler = [0, 0, 0];
- goog.vec.Mat3.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.Mat3.makeRotate(m0, roll, 0, 0, 1);
- goog.vec.Mat3.rotate(m0, -tilt, 1, 0, 0);
- goog.vec.Mat3.rotate(m0, yaw, 0, 0, 1);
-
- goog.vec.Mat3.makeEulerZXZ(m1, roll, -tilt, yaw);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
-
- var euler = [0, 0, 0];
- goog.vec.Mat3.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.Mat3.createFloat32FromArray(
- [1, 0, 0, 0, 0, -1, 0, 1, 0]);
- var m1 = goog.vec.Mat3.createFloat32FromArray(
- [0, 0, 0, 0, 0, 0, 0, 0, 0]);
-
- var euler = [0, 0, 0];
- goog.vec.Mat3.toEulerZXZ(m0, euler);
- assertElementsRoughlyEqual(
- [Math.PI, Math.PI / 2, Math.PI], euler, goog.vec.EPSILON);
- goog.vec.Mat3.makeEulerZXZ(m1, euler[0], euler[1], euler[2]);
- assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
- }
-
-</script>
-</body>
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