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| <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.Matrix4</title> |
| <script src="../base.js"></script> |
| <script> |
| goog.require('goog.vec.Float32Array'); |
| goog.require('goog.vec.Matrix4'); |
| goog.require('goog.testing.jsunit'); |
| </script> |
| </head> |
| <body> |
| <script> |
| |
| function testConstructor() { |
| var m0 = goog.vec.Matrix4.create(); |
| assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m0); |
| |
| var m1 = goog.vec.Matrix4.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); |
| |
| var m2 = goog.vec.Matrix4.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); |
| |
| var m3 = goog.vec.Matrix4.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); |
| |
| var m4 = goog.vec.Matrix4.createIdentity(); |
| assertElementsEquals([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], m4); |
| } |
| |
| function testSet() { |
| var m0 = goog.vec.Matrix4.create(); |
| var m1 = goog.vec.Matrix4.createFromArray( |
| [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]); |
| goog.vec.Matrix4.setFromArray(m0, m1); |
| assertElementsEquals( |
| [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0); |
| |
| goog.vec.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.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 testSetGetColumn() { |
| var m0 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.setColumn(m0, 0, [1, 2, 3, 4]); |
| goog.vec.Matrix4.setColumn(m0, 1, [5, 6, 7, 8]); |
| goog.vec.Matrix4.setColumn(m0, 2, [9, 10, 11, 12]); |
| goog.vec.Matrix4.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.Matrix4.getColumn(m0, 0, v0); |
| assertElementsEquals([1, 2, 3, 4], v0); |
| goog.vec.Matrix4.getColumn(m0, 1, v0); |
| assertElementsEquals([5, 6, 7, 8], v0); |
| goog.vec.Matrix4.getColumn(m0, 2, v0); |
| assertElementsEquals([9, 10, 11, 12], v0); |
| goog.vec.Matrix4.getColumn(m0, 3, v0); |
| assertElementsEquals([13, 14, 15, 16], v0); |
| } |
| |
| function testSetGetColumns() { |
| var m0 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.setRow(m0, 0, [1, 2, 3, 4]); |
| goog.vec.Matrix4.setRow(m0, 1, [5, 6, 7, 8]); |
| goog.vec.Matrix4.setRow(m0, 2, [9, 10, 11, 12]); |
| goog.vec.Matrix4.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.Matrix4.getRow(m0, 0, v0); |
| assertElementsEquals([1, 2, 3, 4], v0); |
| goog.vec.Matrix4.getRow(m0, 1, v0); |
| assertElementsEquals([5, 6, 7, 8], v0); |
| goog.vec.Matrix4.getRow(m0, 2, v0); |
| assertElementsEquals([9, 10, 11, 12], v0); |
| goog.vec.Matrix4.getRow(m0, 3, v0); |
| assertElementsEquals([13, 14, 15, 16], v0); |
| } |
| |
| function testSetGetRows() { |
| var m0 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.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 testSetRowMajorArray() { |
| var m0 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.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); |
| } |
| |
| function testSetZero() { |
| var m0 = goog.vec.Matrix4.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], m0); |
| goog.vec.Matrix4.setZero(m0); |
| assertElementsEquals( |
| [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], m0); |
| } |
| |
| function testSetIdentity() { |
| var m0 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.setIdentity(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.Matrix4.create(); |
| for (var r = 0; r < 4; r++) { |
| for (var c = 0; c < 4; c++) { |
| var value = c * 4 + r + 1; |
| goog.vec.Matrix4.setElement(m0, r, c, value); |
| assertEquals(value, goog.vec.Matrix4.getElement(m0, r, c)); |
| } |
| } |
| assertElementsEquals( |
| [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16], m0); |
| } |
| |
| function testAdd() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m1 = goog.vec.Matrix4.createFromValues( |
| 9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8); |
| var m2 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.add(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.Matrix4.add(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 testSubtract() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m1 = goog.vec.Matrix4.createFromValues( |
| 9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8); |
| var m2 = goog.vec.Matrix4.create(); |
| |
| goog.vec.Matrix4.subtract(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.Matrix4.subtract(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 testScale() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m1 = goog.vec.Matrix4.create(); |
| |
| goog.vec.Matrix4.scale(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.Matrix4.scale(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.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m1 = goog.vec.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m2 = goog.vec.Matrix4.create(); |
| |
| goog.vec.Matrix4.multMat(m0, m1, m2); |
| assertElementsEquals( |
| [90, 100, 110, 120, 202, 228, 254, 280, |
| 314, 356, 398, 440, 426, 484, 542, 600], m2); |
| |
| goog.vec.Matrix4.scale(m1, 2, m1); |
| goog.vec.Matrix4.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.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m1 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.transpose(m0, m1); |
| assertElementsEquals( |
| [1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16], m1); |
| |
| goog.vec.Matrix4.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.Matrix4.createFromValues( |
| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1); |
| assertEquals(0, goog.vec.Matrix4.determinant(m0)); |
| assertElementsEquals( |
| [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], m0); |
| |
| goog.vec.Matrix4.setFromValues( |
| m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3); |
| assertEquals(160, goog.vec.Matrix4.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.Matrix4.createFromValues( |
| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1); |
| assertFalse(goog.vec.Matrix4.invert(m0, m0)); |
| assertElementsEquals( |
| [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], m0); |
| |
| goog.vec.Matrix4.setFromValues( |
| m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3); |
| assertTrue(goog.vec.Matrix4.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.Matrix4.makeScale(m0, .01, .01, .01); |
| assertTrue(goog.vec.Matrix4.invert(m0, m0)); |
| var m1 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.makeScale(m1, 100, 100, 100); |
| assertElementsEquals(m1, m0); |
| } |
| |
| function testEquals() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); |
| var m1 = goog.vec.Matrix4.clone(m0); |
| assertTrue(goog.vec.Matrix4.equals(m0, m1)); |
| assertTrue(goog.vec.Matrix4.equals(m1, m0)); |
| for (var i = 0; i < 16; i++) { |
| m1[i] = 18; |
| assertFalse(goog.vec.Matrix4.equals(m0, m1)); |
| assertFalse(goog.vec.Matrix4.equals(m1, m0)); |
| m1[i] = i + 1; |
| } |
| } |
| |
| function testMultVec3() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 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.Matrix4.multVec3(m0, v0, v1); |
| assertElementsEquals([1, 2, 3], v0); |
| assertElementsEquals([51, 58, 65], v1); |
| |
| goog.vec.Matrix4.multVec3(m0, v0, v0); |
| assertElementsEquals([51, 58, 65], v0); |
| |
| v0 = [1, 2, 3]; |
| goog.vec.Matrix4.multVec3ToArray(m0, v0, v0); |
| assertElementsEquals([51, 58, 65], v0); |
| } |
| |
| function testMultVec3NoTranslate() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 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.Matrix4.multVec3NoTranslate(m0, v0, v1); |
| assertElementsEquals([1, 2, 3], v0); |
| assertElementsEquals([38, 44, 50], v1); |
| |
| goog.vec.Matrix4.multVec3NoTranslate(m0, v0, v0); |
| assertElementsEquals([38, 44, 50], v0); |
| } |
| |
| function testMultVec3Projective() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 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.Matrix4.multVec3Projective(m0, v0, v1); |
| assertElementsEquals([1, 2, 3], v0); |
| assertElementsEquals( |
| [51 * invw, 58 * invw, 65 * invw], v1); |
| |
| goog.vec.Matrix4.multVec3Projective(m0, v0, v0); |
| assertElementsEquals( |
| [51 * invw, 58 * invw, 65 * invw], v0); |
| } |
| |
| function testMultVec4() { |
| var m0 = goog.vec.Matrix4.createFromValues( |
| 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.Matrix4.multVec4(m0, v0, v1); |
| assertElementsEquals([90, 100, 110, 120], v1); |
| goog.vec.Matrix4.multVec4(m0, v0, v0); |
| assertElementsEquals([90, 100, 110, 120], v0); |
| |
| var v0 = [1, 2, 3, 4]; |
| goog.vec.Matrix4.multVec4ToArray(m0, v0, v0); |
| assertElementsEquals([90, 100, 110, 120], v0); |
| } |
| |
| function testSetValues() { |
| var a0 = goog.vec.Matrix4.create(); |
| assertElementsEquals( |
| [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], a0); |
| a0 = goog.vec.Matrix4.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], a0); |
| |
| var a1 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.setColumnValues(a1, 0, 2, 3, 4, 5); |
| goog.vec.Matrix4.setColumnValues(a1, 1, 6, 7, 8, 9); |
| goog.vec.Matrix4.setColumnValues(a1, 2, 10, 11, 12, 13); |
| goog.vec.Matrix4.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.Matrix4.setRowValues(a1, 0, 1, 5, 9, 13); |
| goog.vec.Matrix4.setRowValues(a1, 1, 2, 6, 10, 14); |
| goog.vec.Matrix4.setRowValues(a1, 2, 3, 7, 11, 15); |
| goog.vec.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.makeAxisAngleRotate(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.Matrix4.create(); |
| goog.vec.Matrix4.makeAxisAngleRotate(m1, -Math.PI / 4, 0, 0, 1); |
| goog.vec.Matrix4.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 testApplyTranslate() { |
| var m0 = goog.vec.Matrix4.createIdentity(); |
| goog.vec.Matrix4.applyTranslate(m0, 3, 4, 5); |
| assertElementsEquals( |
| [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4, 5, 1], m0); |
| |
| goog.vec.Matrix4.setFromValues( |
| m0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 1, 2, 4, 1, 2, 3); |
| |
| var m1 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.makeTranslate(m1, 5, 6, 7); |
| var m2 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.multMat(m0, m1, m2); |
| goog.vec.Matrix4.applyTranslate(m0, 5, 6, 7); |
| assertElementsEquals(m2, m0); |
| } |
| |
| function testApplyScale() { |
| var m0 = goog.vec.Matrix4.createIdentity(); |
| goog.vec.Matrix4.applyScale(m0, 3, 4, 5); |
| assertElementsEquals([3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1], m0); |
| } |
| |
| function testApplyRotate() { |
| var m0 = goog.vec.Matrix4.createIdentity(); |
| goog.vec.Matrix4.applyRotate(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.Matrix4.applyRotate(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 testMakeFrustum() { |
| var m0 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.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.Matrix4.create(); |
| goog.vec.Matrix4.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 testEulerZXZ() { |
| var m0 = goog.vec.Matrix4.create(); |
| var roll = Math.random() * 2 * Math.PI; |
| var tilt = -Math.random() * Math.PI / 2; |
| var pan = Math.random() * 2 * Math.PI; |
| |
| goog.vec.Matrix4.makeAxisAngleRotate(m0, roll, 0, 0, 1); |
| goog.vec.Matrix4.applyRotate(m0, tilt, 1, 0, 0); |
| goog.vec.Matrix4.applyRotate(m0, pan, 0, 0, 1); |
| |
| var m1 = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.fromEulerZXZ(m1, roll, tilt, pan); |
| assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); |
| |
| |
| var euler = [0, 0, 0]; |
| goog.vec.Matrix4.toEulerZXZ(m0, euler); |
| // Bring them to their range. |
| euler[0] = (euler[0] + Math.PI * 2) % (Math.PI * 2); |
| euler[1] = (euler[1] - Math.PI * 2) % (Math.PI * 2); |
| euler[2] = (euler[2] + Math.PI * 2) % (Math.PI * 2); |
| assertElementsRoughlyEqual([roll, tilt, pan], euler, goog.vec.EPSILON); |
| } |
| |
| function testEulerZXZExtrema() { |
| var m0 = goog.vec.Matrix4.createFromArray( |
| [1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1]); |
| var m1 = goog.vec.Matrix4.createFromArray( |
| [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]); |
| |
| var euler = [0, 0, 0]; |
| goog.vec.Matrix4.toEulerZXZ(m0, euler); |
| assertElementsRoughlyEqual([0, -Math.PI / 2, 0], euler, goog.vec.EPSILON); |
| goog.vec.Matrix4.fromEulerZXZ(m1, euler[0], euler[1], euler[2]); |
| assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); |
| } |
| |
| function testLookAt() { |
| var viewMatrix = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.lookAt( |
| 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.Vec3.add(eyeExp, fwdExp, centerExp); |
| |
| var view = goog.vec.Matrix4.create(); |
| goog.vec.Matrix4.lookAt(view, eyeExp, centerExp, upExp); |
| |
| var eyeRes = [0, 0, 0]; |
| var fwdRes = [0, 0, 0]; |
| var upRes = [0, 0, 0]; |
| goog.vec.Matrix4.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, which leads to flaky tests. |
| var EPSILON = 1e-4; |
| |
| var viewExp = goog.vec.Matrix4.create(); |
| var viewRes = goog.vec.Matrix4.create(); |
| var tmp = goog.vec.Matrix4.create(); |
| |
| // Get a valid set of random vectors eye, forward, up by decomposing |
| // a random matrix into a set of lookAt vectors. |
| for (var i = 0; i < tmp.length; i++) |
| tmp[i] = Math.random(); |
| 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.Matrix4.toLookAt(tmp, eyeExp, fwdExp, upExp); |
| goog.vec.Vec3.add(eyeExp, fwdExp, centerExp); |
| |
| // Compute the expected modelview matrix from a set of valid random vectors. |
| goog.vec.Matrix4.lookAt(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.Matrix4.toLookAt(viewExp, eyeRes, fwdRes, upRes); |
| goog.vec.Vec3.add(eyeRes, fwdRes, centerRes); |
| |
| goog.vec.Matrix4.lookAt(viewRes, eyeRes, centerRes, upRes); |
| |
| assertElementsRoughlyEqual(eyeExp, eyeRes, EPSILON); |
| assertElementsRoughlyEqual(fwdExp, fwdRes, EPSILON); |
| assertElementsRoughlyEqual(upExp, upRes, EPSILON); |
| assertElementsRoughlyEqual(viewExp, viewRes, EPSILON); |
| } |
| |
| </script> |
| </body> |