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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 vec3f_test.js by running: //
// swap_type.sh vec3d_test.js > vec3f_test.js //
// //
////////////////////////// NOTE ABOUT EDITING THIS FILE ///////////////////////
goog.provide('goog.vec.vec3dTest');
goog.setTestOnly('goog.vec.vec3dTest');
goog.require('goog.vec.Float64Array');
goog.require('goog.vec.vec3d');
goog.require('goog.testing.jsunit');
function testCreate() {
var v = goog.vec.vec3d.create();
assertElementsEquals([0, 0, 0], v);
}
function testCreateFromArray() {
var v = goog.vec.vec3d.createFromArray([1, 2, 3]);
assertElementsEquals([1, 2, 3], v);
}
function testCreateFromValues() {
var v = goog.vec.vec3d.createFromValues(1, 2, 3);
assertElementsEquals([1, 2, 3], v);
}
function testClone() {
var v0 = goog.vec.vec3d.createFromValues(1, 2, 3);
var v1 = goog.vec.vec3d.clone(v0);
assertElementsEquals([1, 2, 3], v1);
}
function testSet() {
var v = goog.vec.vec3d.create();
goog.vec.vec3d.setFromValues(v, 1, 2, 3);
assertElementsEquals([1, 2, 3], v);
goog.vec.vec3d.setFromArray(v, [4, 5, 6]);
assertElementsEquals([4, 5, 6], v);
var w = goog.vec.vec3d.create();
goog.vec.vec3d.setFromValues(w, 1, 2, 3);
assertElementsEquals([1, 2, 3], w);
goog.vec.vec3d.setFromArray(w, [4, 5, 6]);
assertElementsEquals([4, 5, 6], w);
}
function testAdd() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
var v1 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [4, 5, 6]);
var v2 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
goog.vec.vec3d.add(v2, v1, v2);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([4, 5, 6], v1);
assertElementsEquals([5, 7, 9], v2);
goog.vec.vec3d.add(goog.vec.vec3d.add(v0, v1, v2), v0, v2);
assertElementsEquals([6, 9, 12], v2);
}
function testSubtract() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
var v1 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [4, 5, 6]);
var v2 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
goog.vec.vec3d.subtract(v2, v1, v2);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([4, 5, 6], v1);
assertElementsEquals([-3, -3, -3], v2);
goog.vec.vec3d.setFromValues(v2, 0, 0, 0);
goog.vec.vec3d.subtract(v1, v0, v2);
assertElementsEquals([3, 3, 3], v2);
v2 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
goog.vec.vec3d.subtract(v2, v1, v2);
assertElementsEquals([-3, -3, -3], v2);
goog.vec.vec3d.subtract(goog.vec.vec3d.subtract(v1, v0, v2), v0, v2);
assertElementsEquals([2, 1, 0], v2);
}
function testNegate() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
var v1 = goog.vec.vec3d.create();
goog.vec.vec3d.negate(v0, v1);
assertElementsEquals([-1, -2, -3], v1);
assertElementsEquals([1, 2, 3], v0);
goog.vec.vec3d.negate(v0, v0);
assertElementsEquals([-1, -2, -3], v0);
}
function testAbs() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [-1, -2, -3]);
var v1 = goog.vec.vec3d.create();
goog.vec.vec3d.abs(v0, v1);
assertElementsEquals([1, 2, 3], v1);
assertElementsEquals([-1, -2, -3], v0);
goog.vec.vec3d.abs(v0, v0);
assertElementsEquals([1, 2, 3], v0);
}
function testScale() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
var v1 = goog.vec.vec3d.create();
goog.vec.vec3d.scale(v0, 4, v1);
assertElementsEquals([4, 8, 12], v1);
assertElementsEquals([1, 2, 3], v0);
goog.vec.vec3d.setFromArray(v1, v0);
goog.vec.vec3d.scale(v1, 5, v1);
assertElementsEquals([5, 10, 15], v1);
}
function testMagnitudeSquared() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
assertEquals(14, goog.vec.vec3d.magnitudeSquared(v0));
}
function testMagnitude() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
assertEquals(Math.sqrt(14), goog.vec.vec3d.magnitude(v0));
}
function testNormalize() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [2, 3, 4]);
var v1 = goog.vec.vec3d.create();
var v2 = goog.vec.vec3d.create();
goog.vec.vec3d.scale(
v0, 1 / goog.vec.vec3d.magnitude(v0), v2);
goog.vec.vec3d.normalize(v0, v1);
assertElementsEquals(v2, v1);
assertElementsEquals([2, 3, 4], v0);
goog.vec.vec3d.setFromArray(v1, v0);
goog.vec.vec3d.normalize(v1, v1);
assertElementsEquals(v2, v1);
}
function testDot() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
var v1 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [4, 5, 6]);
assertEquals(32, goog.vec.vec3d.dot(v0, v1));
assertEquals(32, goog.vec.vec3d.dot(v1, v0));
}
function testCross() {
var v0 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [1, 2, 3]);
var v1 = goog.vec.vec3d.setFromArray(goog.vec.vec3d.create(), [4, 5, 6]);
var crossVec = goog.vec.vec3d.create();
goog.vec.vec3d.cross(v0, v1, crossVec);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([4, 5, 6], v1);
assertElementsEquals([-3, 6, -3], crossVec);
goog.vec.vec3d.setFromArray(crossVec, v1);
goog.vec.vec3d.cross(crossVec, v0, crossVec);
assertElementsEquals([1, 2, 3], v0);
assertElementsEquals([4, 5, 6], v1);
assertElementsEquals([3, -6, 3], crossVec);
goog.vec.vec3d.cross(v0, v0, v0);
assertElementsEquals([0, 0, 0], v0);
}
function testDistanceSquared() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
assertEquals(0, goog.vec.vec3d.distanceSquared(v0, v1));
goog.vec.vec3d.setFromValues(v0, 1, 2, 3);
goog.vec.vec3d.setFromValues(v1, -1, -2, -1);
assertEquals(36, goog.vec.vec3d.distanceSquared(v0, v1));
}
function testDistance() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
assertEquals(0, goog.vec.vec3d.distance(v0, v1));
goog.vec.vec3d.setFromValues(v0, 1, 2, 3);
goog.vec.vec3d.setFromValues(v1, -1, -2, -1);
assertEquals(6, goog.vec.vec3d.distance(v0, v1));
}
function testDirection() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
var dirVec = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 4, 5, 6);
goog.vec.vec3d.direction(v0, v1, dirVec);
assertElementsEquals([0, 0, 0], dirVec);
goog.vec.vec3d.setFromValues(v0, 0, 0, 0);
goog.vec.vec3d.setFromValues(v1, 1, 0, 0);
goog.vec.vec3d.direction(v0, v1, dirVec);
assertElementsEquals([1, 0, 0], dirVec);
goog.vec.vec3d.setFromValues(v0, 1, 1, 1);
goog.vec.vec3d.setFromValues(v1, 0, 0, 0);
goog.vec.vec3d.direction(v0, v1, dirVec);
assertElementsRoughlyEqual(
[-0.5773502588272095, -0.5773502588272095, -0.5773502588272095],
dirVec, goog.vec.EPSILON);
}
function testLerp() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 10, 20, 30);
var v2 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
goog.vec.vec3d.lerp(v2, v1, 0, v2);
assertElementsEquals([1, 2, 3], v2);
goog.vec.vec3d.lerp(v2, v1, 1, v2);
assertElementsEquals([10, 20, 30], v2);
goog.vec.vec3d.lerp(v0, v1, .5, v2);
assertElementsEquals([5.5, 11, 16.5], v2);
}
function testSlerp() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 0, 0, 1);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 0, 0);
var v2 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), -1, 0, 0);
var v3 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), -5, 0, 0);
var v4 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 0, 0, -1);
var v5 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
// Try f == 0 and f == 1.
goog.vec.vec3d.slerp(v5, v1, 0, v5);
assertElementsEquals([0, 0, 1], v5);
goog.vec.vec3d.slerp(v5, v1, 1, v5);
assertElementsEquals([1, 0, 0], v5);
// Try slerp between perpendicular vectors.
goog.vec.vec3d.slerp(v0, v1, .5, v5);
assertElementsRoughlyEqual(
[ Math.sqrt(2) / 2, 0, Math.sqrt(2) / 2 ], v5,
goog.vec.EPSILON);
// Try slerp between vectors of opposite directions (+Z and -Z).
v5 = goog.vec.vec3d.slerp(v0, v4, .5, v5);
// Axis of rotation is arbitrary, but result should be 90 degrees from both
// v0 and v4 when f = 0.5.
assertRoughlyEquals(Math.PI / 2, Math.acos(goog.vec.vec3d.dot(v5, v0)),
goog.vec.EPSILON);
assertRoughlyEquals(Math.PI / 2, Math.acos(goog.vec.vec3d.dot(v5, v4)),
goog.vec.EPSILON);
// f == 0.25, result should be 45-degrees to v0, and 135 to v4.
v5 = goog.vec.vec3d.slerp(v0, v4, .25, v5);
assertRoughlyEquals(Math.PI / 4, Math.acos(goog.vec.vec3d.dot(v5, v0)),
goog.vec.EPSILON);
assertRoughlyEquals(Math.PI * 3 / 4, Math.acos(goog.vec.vec3d.dot(v5, v4)),
goog.vec.EPSILON);
// f = 0.75, result should be 135-degrees to v0, and 45 to v4.
v5 = goog.vec.vec3d.slerp(v0, v4, .75, v5);
assertRoughlyEquals(Math.PI * 3 / 4, Math.acos(goog.vec.vec3d.dot(v5, v0)),
goog.vec.EPSILON);
assertRoughlyEquals(Math.PI / 4, Math.acos(goog.vec.vec3d.dot(v5, v4)),
goog.vec.EPSILON);
// Same as above, but on opposite directions of the X-axis.
v5 = goog.vec.vec3d.slerp(v1, v2, .5, v5);
// Axis of rotation is arbitrary, but result should be 90 degrees from both
// v1 and v2 when f = 0.5.
assertRoughlyEquals(Math.PI / 2, Math.acos(goog.vec.vec3d.dot(v5, v1)),
goog.vec.EPSILON);
assertRoughlyEquals(Math.PI / 2, Math.acos(goog.vec.vec3d.dot(v5, v2)),
goog.vec.EPSILON);
// f == 0.25, result should be 45-degrees to v1, and 135 to v2.
v5 = goog.vec.vec3d.slerp(v1, v2, .25, v5);
assertRoughlyEquals(Math.PI / 4, Math.acos(goog.vec.vec3d.dot(v5, v1)),
goog.vec.EPSILON);
assertRoughlyEquals(Math.PI * 3 / 4, Math.acos(goog.vec.vec3d.dot(v5, v2)),
goog.vec.EPSILON);
// f = 0.75, result should be 135-degrees to v1, and 45 to v2.
v5 = goog.vec.vec3d.slerp(v1, v2, .75, v5);
assertRoughlyEquals(Math.PI * 3 / 4, Math.acos(goog.vec.vec3d.dot(v5, v1)),
goog.vec.EPSILON);
assertRoughlyEquals(Math.PI / 4, Math.acos(goog.vec.vec3d.dot(v5, v2)),
goog.vec.EPSILON);
// Try vectors that aren't perpendicular or opposite/same direction.
var v6 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(),
Math.sqrt(2) / 2, Math.sqrt(2) / 2, 0);
goog.vec.vec3d.slerp(v1, v6, .9, v5);
// The vectors are 45 degrees apart, for f == 0.9, results should be 1/10 of
// that from v6 and 9/10 of that away from v1.
assertRoughlyEquals((Math.PI / 4) * 0.9, Math.acos(goog.vec.vec3d.dot(v1, v5)),
goog.vec.EPSILON);
assertRoughlyEquals((Math.PI / 4) * 0.1, Math.acos(goog.vec.vec3d.dot(v6, v5)),
goog.vec.EPSILON);
// Between vectors of the same direction, where one is non-unit-length
// (magnitudes should be lerp-ed).
goog.vec.vec3d.slerp(v2, v3, .5, v5);
assertElementsEquals([-3, 0, 0], v5);
// Between perpendicular vectors, where one is non-unit length.
goog.vec.vec3d.slerp(v0, v3, .5, v5);
assertRoughlyEquals(3, goog.vec.vec3d.magnitude(v5), goog.vec.EPSILON);
assertElementsRoughlyEqual(
[ -3 * (Math.sqrt(2) / 2), 0, 3 * (Math.sqrt(2) / 2) ], v5,
goog.vec.EPSILON);
// And vectors of opposite directions, where one is non-unit length.
goog.vec.vec3d.slerp(v1, v3, .5, v5);
// Axis of rotation is arbitrary, but result should be 90 degrees from both
// v1 and v3.
assertRoughlyEquals(
Math.PI / 2,
Math.acos(goog.vec.vec3d.dot(v5, v1) / (goog.vec.vec3d.magnitude(v5) *
goog.vec.vec3d.magnitude(v1))),
goog.vec.EPSILON);
assertRoughlyEquals(
Math.PI / 2,
Math.acos(goog.vec.vec3d.dot(v5, v3) / (goog.vec.vec3d.magnitude(v3) *
goog.vec.vec3d.magnitude(v5))),
goog.vec.EPSILON);
// Magnitude should be linearly interpolated.
assertRoughlyEquals(3, goog.vec.vec3d.magnitude(v5), goog.vec.EPSILON);
// Try a case where the vectors are the same direction (the same vector in
// this case), but where numerical error results in a dot product
// slightly greater than 1. Taking the acos of this would result in NaN.
var v7 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 0.009, 0.147,
0.989);
goog.vec.vec3d.slerp(v7, v7, .25, v5);
assertElementsRoughlyEqual([ v7[0], v7[1], v7[2] ], v5, goog.vec.EPSILON);
}
function testMax() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 10, 20, 30);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 5, 25, 35);
var v2 = goog.vec.vec3d.create();
goog.vec.vec3d.max(v0, v1, v2);
assertElementsEquals([10, 25, 35], v2);
goog.vec.vec3d.max(v1, v0, v1);
assertElementsEquals([10, 25, 35], v1);
goog.vec.vec3d.max(v2, 20, v2);
assertElementsEquals([20, 25, 35], v2);
}
function testMin() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 10, 20, 30);
var v1 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 5, 25, 35);
var v2 = goog.vec.vec3d.create();
goog.vec.vec3d.min(v0, v1, v2);
assertElementsEquals([5, 20, 30], v2);
goog.vec.vec3d.min(v1, v0, v1);
assertElementsEquals([5, 20, 30], v1);
goog.vec.vec3d.min(v2, 20, v2);
assertElementsEquals([5, 20, 20], v2);
}
function testEquals() {
var v0 = goog.vec.vec3d.setFromValues(goog.vec.vec3d.create(), 1, 2, 3);
var v1 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
assertElementsEquals(v0, v1);
v1[0] = 4;
assertFalse(goog.vec.vec3d.equals(v0, v1));
v1 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
v1[1] = 4;
assertFalse(goog.vec.vec3d.equals(v0, v1));
v1 = goog.vec.vec3d.setFromVec3d(goog.vec.vec3d.create(), v0);
v1[2] = 4;
assertFalse(goog.vec.vec3d.equals(v0, v1));
}
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