/* * Copyright (C) 2016 The Android Open Source Project * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package com.android.server; import android.test.AndroidTestCase; import java.lang.Exception; import java.lang.Math; /** * Tests for {@link com.android.server.AnyMotionDetector.Vector3} */ public class Vector3Test extends AndroidTestCase { private static final float tolerance = 1.0f / (1 << 12); private static final float STATIONARY_ANGLE_THRESHOLD = 0.05f; private AnyMotionDetector.Vector3 unitXAxis; private AnyMotionDetector.Vector3 unitYAxis; private AnyMotionDetector.Vector3 unitZAxis; private AnyMotionDetector.Vector3 x3; private AnyMotionDetector.Vector3 case1A; private AnyMotionDetector.Vector3 case1B; private AnyMotionDetector.Vector3 case2A; private AnyMotionDetector.Vector3 case2B; private AnyMotionDetector.Vector3 x1y1; private AnyMotionDetector.Vector3 xn1y1; private AnyMotionDetector.Vector3 x1z1; private AnyMotionDetector.Vector3 y1z1; private AnyMotionDetector.Vector3 piOverSixUnitCircle; private boolean nearlyEqual(float a, float b) { return Math.abs(a - b) <= tolerance; } public void setUp() throws Exception { super.setUp(); unitXAxis = new AnyMotionDetector.Vector3(0, 1, 0, 0); unitYAxis = new AnyMotionDetector.Vector3(0, 0, 1, 0); unitZAxis = new AnyMotionDetector.Vector3(0, 0, 0, 1); x3 = new AnyMotionDetector.Vector3(0, 3, 0, 0); x1y1 = new AnyMotionDetector.Vector3(0, 1, 1, 0); xn1y1 = new AnyMotionDetector.Vector3(0, -1, 1, 0); x1z1 = new AnyMotionDetector.Vector3(0, 1, 0, 1); y1z1 = new AnyMotionDetector.Vector3(0, 0, 1, 1); piOverSixUnitCircle = new AnyMotionDetector.Vector3( 0, (float)Math.sqrt(3)/2, (float)0.5, 0); case1A = new AnyMotionDetector.Vector3(0, -9.81f, -0.02f, 0.3f); case1B = new AnyMotionDetector.Vector3(0, -9.80f, -0.02f, 0.3f); case2A = new AnyMotionDetector.Vector3(0, 1f, 2f, 3f); case2B = new AnyMotionDetector.Vector3(0, 4f, 5f, 6f); } public void testVector3Norm() { assertTrue(nearlyEqual(unitXAxis.norm(), 1.0f)); assertTrue(nearlyEqual(unitYAxis.norm(), 1.0f)); assertTrue(nearlyEqual(unitZAxis.norm(), 1.0f)); assertTrue(nearlyEqual(x1y1.norm(), (float)Math.sqrt(2))); } public void testVector3AngleBetween() { // Zero angle. assertTrue(nearlyEqual(unitXAxis.angleBetween(unitXAxis), 0.0f)); assertTrue(nearlyEqual(unitYAxis.angleBetween(unitYAxis), 0.0f)); assertTrue(nearlyEqual(unitZAxis.angleBetween(unitZAxis), 0.0f)); // Unit axes should be perpendicular. assertTrue(nearlyEqual(unitXAxis.angleBetween(unitYAxis), 90.0f)); assertTrue(nearlyEqual(unitXAxis.angleBetween(unitZAxis), 90.0f)); assertTrue(nearlyEqual(unitYAxis.angleBetween(unitZAxis), 90.0f)); // 45 degree angles. assertTrue(nearlyEqual(unitXAxis.angleBetween(x1y1), 45.0f)); assertTrue(nearlyEqual(unitYAxis.angleBetween(x1y1), 45.0f)); // 135 degree angles. assertTrue(nearlyEqual(xn1y1.angleBetween(unitXAxis), 135.0f)); // 30 degree angles. assertTrue(nearlyEqual(piOverSixUnitCircle.angleBetween(unitXAxis), 30.0f)); // These vectors are expected to be still. assertTrue(case1A.angleBetween(case1A) < STATIONARY_ANGLE_THRESHOLD); assertTrue(case1A.angleBetween(case1B) < STATIONARY_ANGLE_THRESHOLD); assertTrue(unitXAxis.angleBetween(unitXAxis) < STATIONARY_ANGLE_THRESHOLD); assertTrue(unitYAxis.angleBetween(unitYAxis) < STATIONARY_ANGLE_THRESHOLD); assertTrue(unitZAxis.angleBetween(unitZAxis) < STATIONARY_ANGLE_THRESHOLD); } public void testVector3Normalized() { AnyMotionDetector.Vector3 unitXAxisNormalized = unitXAxis.normalized(); assertTrue(nearlyEqual(unitXAxisNormalized.x, unitXAxis.x)); assertTrue(nearlyEqual(unitXAxisNormalized.y, unitXAxis.y)); assertTrue(nearlyEqual(unitXAxisNormalized.z, unitXAxis.z)); // Normalizing the vector created by multiplying the unit vector by 3 gets the unit vector. AnyMotionDetector.Vector3 x3Normalized = x3.normalized(); assertTrue(nearlyEqual(x3Normalized.x, unitXAxis.x)); assertTrue(nearlyEqual(x3Normalized.y, unitXAxis.y)); assertTrue(nearlyEqual(x3Normalized.z, unitXAxis.z)); } public void testVector3Cross() { AnyMotionDetector.Vector3 xCrossX = unitXAxis.cross(unitXAxis); assertTrue(nearlyEqual(xCrossX.x, 0f)); assertTrue(nearlyEqual(xCrossX.y, 0f)); assertTrue(nearlyEqual(xCrossX.z, 0f)); AnyMotionDetector.Vector3 xCrossNx = unitXAxis.cross(unitXAxis.times(-1)); assertTrue(nearlyEqual(xCrossNx.x, 0f)); assertTrue(nearlyEqual(xCrossNx.y, 0f)); assertTrue(nearlyEqual(xCrossNx.z, 0f)); AnyMotionDetector.Vector3 cross2 = case2A.cross(case2B); assertTrue(nearlyEqual(cross2.x, -3)); assertTrue(nearlyEqual(cross2.y, 6)); assertTrue(nearlyEqual(cross2.z, -3)); } public void testVector3Times() { AnyMotionDetector.Vector3 yTimes2 = unitYAxis.times(2); assertTrue(nearlyEqual(yTimes2.x, 0f)); assertTrue(nearlyEqual(yTimes2.y, 2f)); assertTrue(nearlyEqual(yTimes2.z, 0f)); } public void testVector3Plus() { AnyMotionDetector.Vector3 xPlusY = unitXAxis.plus(unitYAxis); assertTrue(nearlyEqual(xPlusY.x, 1f)); assertTrue(nearlyEqual(xPlusY.y, 1f)); assertTrue(nearlyEqual(xPlusY.z, 0f)); } public void testVector3Minus() { AnyMotionDetector.Vector3 xMinusY = unitXAxis.minus(unitYAxis); assertTrue(nearlyEqual(xMinusY.x, 1f)); assertTrue(nearlyEqual(xMinusY.y, -1f)); assertTrue(nearlyEqual(xMinusY.z, 0f)); } public void testVector3DotProduct() { float xDotX = unitXAxis.dotProduct(unitXAxis); float xDotY = unitXAxis.dotProduct(unitYAxis); float xDotZ = unitXAxis.dotProduct(unitZAxis); assertTrue(nearlyEqual(xDotX, 1f)); assertTrue(nearlyEqual(xDotY, 0f)); assertTrue(nearlyEqual(xDotZ, 0f)); } }