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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 mat3f_test.js by running: //
// swap_type.sh mat3d_test.js > mat3f_test.js //
// //
////////////////////////// NOTE ABOUT EDITING THIS FILE ///////////////////////
goog.provide('goog.vec.mat3dTest');
goog.setTestOnly('goog.vec.mat3dTest');
goog.require('goog.vec.mat3d');
goog.require('goog.testing.jsunit');
var randommat3d = goog.vec.mat3d.setFromValues(goog.vec.mat3d.create(),
0.8025078773498535,
0.7559120655059814,
0.15274643898010254,
0.19196106493473053,
0.0890120416879654,
0.15422114729881287,
0.09754583984613419,
0.44862601161003113,
0.9196512699127197);
function testCreate() {
var m = goog.vec.mat3d.create();
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m);
}
function testCreateIdentity() {
var m = goog.vec.mat3d.createIdentity();
assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m);
}
function testSet() {
var m0 = goog.vec.mat3d.create();
var m1 = goog.vec.mat3d.setFromArray(
goog.vec.mat3d.create(), [1, 2, 3, 4, 5, 6, 7, 8, 9]);
goog.vec.mat3d.setFromArray(m0, m1);
assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
goog.vec.mat3d.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.mat3d.create();
goog.vec.mat3d.setDiagonalValues(m0, 1, 2, 3);
assertElementsEquals([1, 0, 0, 0, 2, 0, 0, 0, 3], m0);
goog.vec.mat3d.setDiagonal(m0, [4, 5, 6]);
assertElementsEquals([4, 0, 0, 0, 5, 0, 0, 0, 6], m0);
}
function testSetGetColumn() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.setColumn(m0, 0, [1, 2, 3]);
goog.vec.mat3d.setColumn(m0, 1, [4, 5, 6]);
goog.vec.mat3d.setColumn(m0, 2, [7, 8, 9]);
assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
var v0 = [0, 0, 0];
goog.vec.mat3d.getColumn(m0, 0, v0);
assertElementsEquals([1, 2, 3], v0);
goog.vec.mat3d.getColumn(m0, 1, v0);
assertElementsEquals([4, 5, 6], v0);
goog.vec.mat3d.getColumn(m0, 2, v0);
assertElementsEquals([7, 8, 9], v0);
}
function testSetGetColumns() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.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.mat3d.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.mat3d.create();
goog.vec.mat3d.setRow(m0, 0, [1, 2, 3]);
goog.vec.mat3d.setRow(m0, 1, [4, 5, 6]);
goog.vec.mat3d.setRow(m0, 2, [7, 8, 9]);
assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m0);
var v0 = [0, 0, 0];
goog.vec.mat3d.getRow(m0, 0, v0);
assertElementsEquals([1, 2, 3], v0);
goog.vec.mat3d.getRow(m0, 1, v0);
assertElementsEquals([4, 5, 6], v0);
goog.vec.mat3d.getRow(m0, 2, v0);
assertElementsEquals([7, 8, 9], v0);
}
function testSetGetRows() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.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.mat3d.getRows(m0, v0, v1, v2);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([4, 5, 6], v1);
assertElementsEquals([7, 8, 9], v2);
}
function testMakeZero() {
var m0 = goog.vec.mat3d.setFromArray(
goog.vec.mat3d.create(), [1, 2, 3, 4, 5, 6, 7, 8, 9]);
assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
goog.vec.mat3d.makeZero(m0);
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m0);
}
function testMakeIdentity() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.makeIdentity(m0);
assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m0);
}
function testSetGetElement() {
var m0 = goog.vec.mat3d.create();
for (var r = 0; r < 3; r++) {
for (var c = 0; c < 3; c++) {
var value = c * 3 + r + 1;
goog.vec.mat3d.setElement(m0, r, c, value);
assertEquals(value, goog.vec.mat3d.getElement(m0, r, c));
}
}
assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0);
}
function testAddMat() {
var m0 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m1 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 3, 4, 5, 6, 7, 8, 9, 1, 2);
var m2 = goog.vec.mat3d.create();
goog.vec.mat3d.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.mat3d.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.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m1 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 3, 4, 5, 6, 7, 8, 9, 1, 2);
var m2 = goog.vec.mat3d.create();
goog.vec.mat3d.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.mat3d.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.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m1 = goog.vec.mat3d.create();
goog.vec.mat3d.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.mat3d.multScalar(m0, 5, m0);
assertElementsEquals([5, 10, 15, 20, 25, 30, 35, 40, 45], m0);
}
function testMultMat() {
var m0 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m1 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m2 = goog.vec.mat3d.create();
goog.vec.mat3d.multMat(m0, m1, m2);
assertElementsEquals([30, 36, 42, 66, 81, 96, 102, 126, 150], m2);
goog.vec.mat3d.addMat(m0, m1, m1);
goog.vec.mat3d.multMat(m0, m1, m1);
assertElementsEquals([60, 72, 84, 132, 162, 192, 204, 252, 300], m1);
}
function testTranspose() {
var m0 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m1 = goog.vec.mat3d.create();
goog.vec.mat3d.transpose(m0, m1);
assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m1);
goog.vec.mat3d.transpose(m1, m1);
assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1);
}
function testInvert() {
var m0 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 1, 1, 1, 1, 1, 1, 1, 1);
assertFalse(goog.vec.mat3d.invert(m0, m0));
assertElementsEquals([1, 1, 1, 1, 1, 1, 1, 1, 1], m0);
goog.vec.mat3d.setFromValues(m0, 1, 2, 3, 1, 3, 4, 3, 4, 5);
assertTrue(goog.vec.mat3d.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.mat3d.makeScale(m0, .01, .01, .01);
assertTrue(goog.vec.mat3d.invert(m0, m0));
var m1 = goog.vec.mat3d.create();
goog.vec.mat3d.makeScale(m1, 100, 100, 100);
assertElementsEquals(m1, m0);
}
function testEquals() {
var m0 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var m1 = goog.vec.mat3d.setFromArray(goog.vec.mat3d.create(), m0);
assertTrue(goog.vec.mat3d.equals(m0, m1));
assertTrue(goog.vec.mat3d.equals(m1, m0));
for (var i = 0; i < 9; i++) {
m1[i] = 15;
assertFalse(goog.vec.mat3d.equals(m0, m1));
assertFalse(goog.vec.mat3d.equals(m1, m0));
m1[i] = i + 1;
}
}
function testMultVec3() {
var m0 = goog.vec.mat3d.setFromValues(
goog.vec.mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9);
var v0 = [1, 2, 3];
var v1 = [0, 0, 0];
goog.vec.mat3d.multVec3(m0, v0, v1);
assertElementsEquals([30, 36, 42], v1);
goog.vec.mat3d.multVec3(m0, v0, v0);
assertElementsEquals([30, 36, 42], v0);
}
function testSetValues() {
var a0 = goog.vec.mat3d.create();
assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], a0);
goog.vec.mat3d.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.mat3d.create();
goog.vec.mat3d.setDiagonalValues(a1, 1, 2, 3);
assertElementsEquals([1, 0, 0, 0, 2, 0, 0, 0, 3], a1);
goog.vec.mat3d.setColumnValues(a1, 0, 2, 3, 4);
goog.vec.mat3d.setColumnValues(a1, 1, 5, 6, 7);
goog.vec.mat3d.setColumnValues(a1, 2, 8, 9, 1);
assertElementsEquals([2, 3, 4, 5, 6, 7, 8, 9, 1], a1);
goog.vec.mat3d.setRowValues(a1, 0, 1, 4, 7);
goog.vec.mat3d.setRowValues(a1, 1, 2, 5, 8);
goog.vec.mat3d.setRowValues(a1, 2, 3, 6, 9);
assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], a1);
}
function testMakeTranslate() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.makeTranslate(m0, 3, 4);
assertElementsEquals([1, 0, 0, 0, 1, 0, 3, 4, 1], m0);
}
function testMakeScale() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.makeScale(m0, 3, 4, 5);
assertElementsEquals([3, 0, 0, 0, 4, 0, 0, 0, 5], m0);
}
function testMakeRotate() {
var m0 = goog.vec.mat3d.create();
goog.vec.mat3d.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.mat3d.create();
goog.vec.mat3d.makeRotate(m1, -Math.PI / 4, 0, 0, 1);
goog.vec.mat3d.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.mat3d.create();
var m1 = goog.vec.mat3d.create()
goog.vec.mat3d.makeRotateX(m0, Math.PI / 7);
goog.vec.mat3d.makeRotate(m1, Math.PI / 7, 1, 0, 0);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotateY() {
var m0 = goog.vec.mat3d.create();
var m1 = goog.vec.mat3d.create()
goog.vec.mat3d.makeRotateY(m0, Math.PI / 7);
goog.vec.mat3d.makeRotate(m1, Math.PI / 7, 0, 1, 0);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeRotateZ() {
var m0 = goog.vec.mat3d.create();
var m1 = goog.vec.mat3d.create()
goog.vec.mat3d.makeRotateZ(m0, Math.PI / 7);
goog.vec.mat3d.makeRotate(m1, Math.PI / 7, 0, 0, 1);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testRotate() {
var m0 = goog.vec.mat3d.makeIdentity(goog.vec.mat3d.create());
goog.vec.mat3d.rotate(m0, Math.PI / 2, 0, 0, 1);
assertElementsRoughlyEqual(
[0, 1, 0, -1, 0, 0, 0, 0, 1],
m0, goog.vec.EPSILON);
goog.vec.mat3d.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.mat3d.create();
var m1 = goog.vec.mat3d.setFromArray(goog.vec.mat3d.create(), randommat3d);
goog.vec.mat3d.makeRotateX(m0, Math.PI / 7);
goog.vec.mat3d.multMat(m1, m0, m0);
goog.vec.mat3d.rotateX(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testRotateY() {
var m0 = goog.vec.mat3d.create();
var m1 = goog.vec.mat3d.setFromArray(goog.vec.mat3d.create(), randommat3d);
goog.vec.mat3d.makeRotateY(m0, Math.PI / 7);
goog.vec.mat3d.multMat(m1, m0, m0);
goog.vec.mat3d.rotateY(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testRotateZ() {
var m0 = goog.vec.mat3d.create();
var m1 = goog.vec.mat3d.setFromArray(goog.vec.mat3d.create(), randommat3d);
goog.vec.mat3d.makeRotateZ(m0, Math.PI / 7);
goog.vec.mat3d.multMat(m1, m0, m0);
goog.vec.mat3d.rotateZ(m1, Math.PI / 7);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
function testMakeEulerZXZ() {
var m0 = goog.vec.mat3d.create();
var roll = 0.200982 * 2 * Math.PI;
var tilt = 0.915833 * Math.PI;
var yaw = 0.839392 * 2 * Math.PI;
goog.vec.mat3d.makeRotate(m0, roll, 0, 0, 1);
goog.vec.mat3d.rotate(m0, tilt, 1, 0, 0);
goog.vec.mat3d.rotate(m0, yaw, 0, 0, 1);
var m1 = goog.vec.mat3d.create();
goog.vec.mat3d.makeEulerZXZ(m1, roll, tilt, yaw);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
var euler = [0, 0, 0];
goog.vec.mat3d.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.mat3d.makeRotate(m0, roll, 0, 0, 1);
goog.vec.mat3d.rotate(m0, -tilt, 1, 0, 0);
goog.vec.mat3d.rotate(m0, yaw, 0, 0, 1);
goog.vec.mat3d.makeEulerZXZ(m1, roll, -tilt, yaw);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
var euler = [0, 0, 0];
goog.vec.mat3d.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.mat3d.setFromArray(goog.vec.mat3d.create(),
[1, 0, 0, 0, 0, -1, 0, 1, 0]);
var m1 = goog.vec.mat3d.setFromArray(goog.vec.mat3d.create(),
[0, 0, 0, 0, 0, 0, 0, 0, 0]);
var euler = [0, 0, 0];
goog.vec.mat3d.toEulerZXZ(m0, euler);
assertElementsRoughlyEqual(
[Math.PI, Math.PI / 2, Math.PI], euler, goog.vec.EPSILON);
goog.vec.mat3d.makeEulerZXZ(m1, euler[0], euler[1], euler[2]);
assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON);
}
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