1 /*
2 * Licensed to the Hipparchus project under one or more
3 * contributor license agreements. See the NOTICE file distributed with
4 * this work for additional information regarding copyright ownership.
5 * The Hipparchus project licenses this file to You under the Apache License, Version 2.0
6 * (the "License"); you may not use this file except in compliance with
7 * the License. You may obtain a copy of the License at
8 *
9 * https://www.apache.org/licenses/LICENSE-2.0
10 *
11 * Unless required by applicable law or agreed to in writing, software
12 * distributed under the License is distributed on an "AS IS" BASIS,
13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14 * See the License for the specific language governing permissions and
15 * limitations under the License.
16 */
17
18 package org.hipparchus.samples.complex;
19
20 import org.hipparchus.complex.Complex;
21 import org.hipparchus.util.FastMath;
22
23 /** Domain coloring enhancing modules changes.
24 * <p>
25 * Value represents module but uses a sawtooth function.
26 * </p>
27 * <p>
28 * The sawtooth function is computed from a base 2 logarithm and fractional parts.
29 * It enhances modules changes with discontinuities and dark rings.
30 * </p>
31 */
32 public class SawToothModuleValue extends DomainColoring {
33
34 /** Simple constructor.
35 * @param saturation constant saturation
36 */
37 protected SawToothModuleValue(final double saturation) {
38 super(saturation);
39 }
40
41 /** {@inheritDoc} */
42 @Override
43 public double value(final Complex z) {
44 final double module = z.norm();
45 return FastMath.log(module) / FastMath.log(2.0);
46 }
47
48 }