/** * @license * Copyright The Closure Library Authors. * SPDX-License-Identifier: Apache-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.module('goog.vec.mat3dTest'); goog.setTestOnly(); const mat3d = goog.require('goog.vec.mat3d'); const testSuite = goog.require('goog.testing.testSuite'); const randommat3d = mat3d.setFromValues( mat3d.create(), 0.8025078773498535, 0.7559120655059814, 0.15274643898010254, 0.19196106493473053, 0.0890120416879654, 0.15422114729881287, 0.09754583984613419, 0.44862601161003113, 0.9196512699127197); testSuite({ testCreate() { const m = mat3d.create(); assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m); }, testCreateIdentity() { const m = mat3d.createIdentity(); assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m); }, testSet() { const m0 = mat3d.create(); const m1 = mat3d.setFromArray(mat3d.create(), [1, 2, 3, 4, 5, 6, 7, 8, 9]); mat3d.setFromArray(m0, m1); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0); mat3d.setFromValues(m0, 2, 3, 4, 5, 6, 7, 8, 9, 10); assertElementsEquals([2, 3, 4, 5, 6, 7, 8, 9, 10], m0); }, testSetDiagonal() { const m0 = mat3d.create(); mat3d.setDiagonalValues(m0, 1, 2, 3); assertElementsEquals([1, 0, 0, 0, 2, 0, 0, 0, 3], m0); mat3d.setDiagonal(m0, [4, 5, 6]); assertElementsEquals([4, 0, 0, 0, 5, 0, 0, 0, 6], m0); }, testSetGetColumn() { const m0 = mat3d.create(); mat3d.setColumn(m0, 0, [1, 2, 3]); mat3d.setColumn(m0, 1, [4, 5, 6]); mat3d.setColumn(m0, 2, [7, 8, 9]); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0); const v0 = [0, 0, 0]; mat3d.getColumn(m0, 0, v0); assertElementsEquals([1, 2, 3], v0); mat3d.getColumn(m0, 1, v0); assertElementsEquals([4, 5, 6], v0); mat3d.getColumn(m0, 2, v0); assertElementsEquals([7, 8, 9], v0); }, testSetGetColumns() { const m0 = mat3d.create(); mat3d.setColumns(m0, [1, 2, 3], [4, 5, 6], [7, 8, 9]); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0); const v0 = [0, 0, 0]; const v1 = [0, 0, 0]; const v2 = [0, 0, 0]; mat3d.getColumns(m0, v0, v1, v2); assertElementsEquals([1, 2, 3], v0); assertElementsEquals([4, 5, 6], v1); assertElementsEquals([7, 8, 9], v2); }, testSetGetRow() { const m0 = mat3d.create(); mat3d.setRow(m0, 0, [1, 2, 3]); mat3d.setRow(m0, 1, [4, 5, 6]); mat3d.setRow(m0, 2, [7, 8, 9]); assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m0); const v0 = [0, 0, 0]; mat3d.getRow(m0, 0, v0); assertElementsEquals([1, 2, 3], v0); mat3d.getRow(m0, 1, v0); assertElementsEquals([4, 5, 6], v0); mat3d.getRow(m0, 2, v0); assertElementsEquals([7, 8, 9], v0); }, testSetGetRows() { const m0 = mat3d.create(); mat3d.setRows(m0, [1, 2, 3], [4, 5, 6], [7, 8, 9]); assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m0); const v0 = [0, 0, 0]; const v1 = [0, 0, 0]; const v2 = [0, 0, 0]; mat3d.getRows(m0, v0, v1, v2); assertElementsEquals([1, 2, 3], v0); assertElementsEquals([4, 5, 6], v1); assertElementsEquals([7, 8, 9], v2); }, testMakeZero() { const m0 = mat3d.setFromArray(mat3d.create(), [1, 2, 3, 4, 5, 6, 7, 8, 9]); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0); mat3d.makeZero(m0); assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], m0); }, testMakeIdentity() { const m0 = mat3d.create(); mat3d.makeIdentity(m0); assertElementsEquals([1, 0, 0, 0, 1, 0, 0, 0, 1], m0); }, testSetGetElement() { const m0 = mat3d.create(); for (let r = 0; r < 3; r++) { for (let c = 0; c < 3; c++) { const value = c * 3 + r + 1; mat3d.setElement(m0, r, c, value); assertEquals(value, mat3d.getElement(m0, r, c)); } } assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m0); }, testAddMat() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m1 = mat3d.setFromValues(mat3d.create(), 3, 4, 5, 6, 7, 8, 9, 1, 2); const m2 = mat3d.create(); 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); 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); }, testSubMat() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m1 = mat3d.setFromValues(mat3d.create(), 3, 4, 5, 6, 7, 8, 9, 1, 2); const m2 = mat3d.create(); 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); 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); }, testMultScalar() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m1 = mat3d.create(); 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); mat3d.multScalar(m0, 5, m0); assertElementsEquals([5, 10, 15, 20, 25, 30, 35, 40, 45], m0); }, testMultMat() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m1 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m2 = mat3d.create(); mat3d.multMat(m0, m1, m2); assertElementsEquals([30, 36, 42, 66, 81, 96, 102, 126, 150], m2); mat3d.addMat(m0, m1, m1); mat3d.multMat(m0, m1, m1); assertElementsEquals([60, 72, 84, 132, 162, 192, 204, 252, 300], m1); }, testTranspose() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m1 = mat3d.create(); mat3d.transpose(m0, m1); assertElementsEquals([1, 4, 7, 2, 5, 8, 3, 6, 9], m1); mat3d.transpose(m1, m1); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], m1); }, testInvert() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 1, 1, 1, 1, 1, 1, 1, 1); assertFalse(mat3d.invert(m0, m0)); assertElementsEquals([1, 1, 1, 1, 1, 1, 1, 1, 1], m0); mat3d.setFromValues(m0, 1, 2, 3, 1, 3, 4, 3, 4, 5); assertTrue(mat3d.invert(m0, m0)); assertElementsEquals([0.5, -1.0, 0.5, -3.5, 2.0, 0.5, 2.5, -1.0, -0.5], m0); mat3d.makeScale(m0, .01, .01, .01); assertTrue(mat3d.invert(m0, m0)); const m1 = mat3d.create(); mat3d.makeScale(m1, 100, 100, 100); assertElementsEquals(m1, m0); }, testEquals() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const m1 = mat3d.setFromArray(mat3d.create(), m0); assertTrue(mat3d.equals(m0, m1)); assertTrue(mat3d.equals(m1, m0)); for (let i = 0; i < 9; i++) { m1[i] = 15; assertFalse(mat3d.equals(m0, m1)); assertFalse(mat3d.equals(m1, m0)); m1[i] = i + 1; } }, testMultVec3() { const m0 = mat3d.setFromValues(mat3d.create(), 1, 2, 3, 4, 5, 6, 7, 8, 9); const v0 = [1, 2, 3]; const v1 = [0, 0, 0]; mat3d.multVec3(m0, v0, v1); assertElementsEquals([30, 36, 42], v1); mat3d.multVec3(m0, v0, v0); assertElementsEquals([30, 36, 42], v0); }, testSetValues() { const a0 = mat3d.create(); assertElementsEquals([0, 0, 0, 0, 0, 0, 0, 0, 0], a0); mat3d.setFromValues(a0, 1, 2, 3, 4, 5, 6, 7, 8, 9); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], a0); const a1 = mat3d.create(); mat3d.setDiagonalValues(a1, 1, 2, 3); assertElementsEquals([1, 0, 0, 0, 2, 0, 0, 0, 3], a1); mat3d.setColumnValues(a1, 0, 2, 3, 4); mat3d.setColumnValues(a1, 1, 5, 6, 7); mat3d.setColumnValues(a1, 2, 8, 9, 1); assertElementsEquals([2, 3, 4, 5, 6, 7, 8, 9, 1], a1); mat3d.setRowValues(a1, 0, 1, 4, 7); mat3d.setRowValues(a1, 1, 2, 5, 8); mat3d.setRowValues(a1, 2, 3, 6, 9); assertElementsEquals([1, 2, 3, 4, 5, 6, 7, 8, 9], a1); }, testMakeTranslate() { const m0 = mat3d.create(); mat3d.makeTranslate(m0, 3, 4); assertElementsEquals([1, 0, 0, 0, 1, 0, 3, 4, 1], m0); }, testMakeScale() { const m0 = mat3d.create(); mat3d.makeScale(m0, 3, 4, 5); assertElementsEquals([3, 0, 0, 0, 4, 0, 0, 0, 5], m0); }, testMakeRotate() { const m0 = mat3d.create(); mat3d.makeRotate(m0, Math.PI / 2, 0, 0, 1); const v0 = [0, 1, 0, -1, 0, 0, 0, 0, 1]; assertElementsRoughlyEqual(m0, v0, goog.vec.EPSILON); const m1 = mat3d.create(); mat3d.makeRotate(m1, -Math.PI / 4, 0, 0, 1); mat3d.multMat(m0, m1, m1); const v1 = [0.7071068, 0.7071068, 0, -0.7071068, 0.7071068, 0, 0, 0, 1]; assertElementsRoughlyEqual(m1, v1, goog.vec.EPSILON); }, testMakeRotateX() { const m0 = mat3d.create(); const m1 = mat3d.create(); mat3d.makeRotateX(m0, Math.PI / 7); mat3d.makeRotate(m1, Math.PI / 7, 1, 0, 0); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, testMakeRotateY() { const m0 = mat3d.create(); const m1 = mat3d.create(); mat3d.makeRotateY(m0, Math.PI / 7); mat3d.makeRotate(m1, Math.PI / 7, 0, 1, 0); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, testMakeRotateZ() { const m0 = mat3d.create(); const m1 = mat3d.create(); mat3d.makeRotateZ(m0, Math.PI / 7); mat3d.makeRotate(m1, Math.PI / 7, 0, 0, 1); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, testRotate() { const m0 = mat3d.makeIdentity(mat3d.create()); mat3d.rotate(m0, Math.PI / 2, 0, 0, 1); assertElementsRoughlyEqual( [0, 1, 0, -1, 0, 0, 0, 0, 1], m0, goog.vec.EPSILON); 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); }, testRotateX() { const m0 = mat3d.create(); const m1 = mat3d.setFromArray(mat3d.create(), randommat3d); mat3d.makeRotateX(m0, Math.PI / 7); mat3d.multMat(m1, m0, m0); mat3d.rotateX(m1, Math.PI / 7); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, testRotateY() { const m0 = mat3d.create(); const m1 = mat3d.setFromArray(mat3d.create(), randommat3d); mat3d.makeRotateY(m0, Math.PI / 7); mat3d.multMat(m1, m0, m0); mat3d.rotateY(m1, Math.PI / 7); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, testRotateZ() { const m0 = mat3d.create(); const m1 = mat3d.setFromArray(mat3d.create(), randommat3d); mat3d.makeRotateZ(m0, Math.PI / 7); mat3d.multMat(m1, m0, m0); mat3d.rotateZ(m1, Math.PI / 7); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, testMakeEulerZXZ() { const m0 = mat3d.create(); const roll = 0.200982 * 2 * Math.PI; const tilt = 0.915833 * Math.PI; const yaw = 0.839392 * 2 * Math.PI; mat3d.makeRotate(m0, roll, 0, 0, 1); mat3d.rotate(m0, tilt, 1, 0, 0); mat3d.rotate(m0, yaw, 0, 0, 1); const m1 = mat3d.create(); mat3d.makeEulerZXZ(m1, roll, tilt, yaw); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); let euler = [0, 0, 0]; 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. mat3d.makeRotate(m0, roll, 0, 0, 1); mat3d.rotate(m0, -tilt, 1, 0, 0); mat3d.rotate(m0, yaw, 0, 0, 1); mat3d.makeEulerZXZ(m1, roll, -tilt, yaw); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); euler = [0, 0, 0]; 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); }, testEulerZXZExtrema() { const m0 = mat3d.setFromArray(mat3d.create(), [1, 0, 0, 0, 0, -1, 0, 1, 0]); const m1 = mat3d.setFromArray(mat3d.create(), [0, 0, 0, 0, 0, 0, 0, 0, 0]); const euler = [0, 0, 0]; mat3d.toEulerZXZ(m0, euler); assertElementsRoughlyEqual( [Math.PI, Math.PI / 2, Math.PI], euler, goog.vec.EPSILON); mat3d.makeEulerZXZ(m1, euler[0], euler[1], euler[2]); assertElementsRoughlyEqual(m0, m1, goog.vec.EPSILON); }, });