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- // Copyright 2011 The Closure Library Authors. All Rights Reserved.
- //
- // 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.
- goog.provide('goog.math.interpolator.Spline1Test');
- goog.setTestOnly('goog.math.interpolator.Spline1Test');
- goog.require('goog.math.interpolator.Spline1');
- goog.require('goog.testing.jsunit');
- function testSpline() {
- // Test special case with no data to interpolate.
- var x = [];
- var y = [];
- var interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- assertTrue(isNaN(interp.interpolate(1)));
- // Test special case with 1 data point.
- x = [0];
- y = [2];
- interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- assertRoughlyEquals(2, interp.interpolate(1), 1e-4);
- // Test special case with 2 data points.
- x = [0, 1];
- y = [2, 5];
- interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- assertRoughlyEquals(3.5, interp.interpolate(.5), 1e-4);
- // Test special case with 3 data points.
- x = [0, 1, 2];
- y = [2, 5, 4];
- interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- assertRoughlyEquals(4, interp.interpolate(.5), 1e-4);
- assertRoughlyEquals(-1, interp.interpolate(3), 1e-4);
- // Test general case.
- x = [0, 1, 3, 6, 7];
- y = [0, 0, 0, 0, 0];
- for (var i = 0; i < x.length; ++i) {
- y[i] = Math.sin(x[i]);
- }
- interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- var xi = [0, 0.5, 1, 2, 3, 4, 5, 6, 7];
- var expected =
- [0, 0.5775, 0.8415, 0.7047, 0.1411, -0.3601, -0.55940, -0.2794, 0.6570];
- var result = [0, 0, 0, 0, 0, 0, 0, 0, 0];
- for (var i = 0; i < xi.length; ++i) {
- result[i] = interp.interpolate(xi[i]);
- }
- assertElementsRoughlyEqual(expected, result, 1e-4);
- }
- function testOutOfBounds() {
- var x = [0, 1, 2, 4];
- var y = [2, 5, 4, 1];
- var interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- assertRoughlyEquals(-7.75, interp.interpolate(-1), 1e-4);
- assertRoughlyEquals(4.5, interp.interpolate(5), 1e-4);
- }
- function testInverse() {
- var x = [0, 1, 3, 6, 7];
- var y = [0, 2, 7, 8, 10];
- var interp = new goog.math.interpolator.Spline1();
- interp.setData(x, y);
- var invInterp = interp.getInverse();
- var xi = [0, 0.5, 1, 2, 3, 4, 5, 6, 7];
- var yi = [0, 0.8159, 2, 4.7892, 7, 7.6912, 7.6275, 8, 10];
- var expectedX = [0, 0.8142, 1, 0.2638, 3, 5.0534, 4.8544, 6, 7];
- var resultX = [0, 0, 0, 0, 0, 0, 0, 0, 0];
- var resultY = [0, 0, 0, 0, 0, 0, 0, 0, 0];
- for (var i = 0; i < xi.length; ++i) {
- resultY[i] = interp.interpolate(xi[i]);
- resultX[i] = invInterp.interpolate(yi[i]);
- }
- assertElementsRoughlyEqual(expectedX, resultX, 1e-4);
- assertElementsRoughlyEqual(yi, resultY, 1e-4);
- }
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