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1   /*
2    * Copyright (C) 2012 Alberto Irurueta Carro (alberto@irurueta.com)
3    *
4    * Licensed under the Apache License, Version 2.0 (the "License");
5    * you may not use this file except in compliance with the License.
6    * You may obtain a copy of the License at
7    *
8    *         http://www.apache.org/licenses/LICENSE-2.0
9    *
10   * Unless required by applicable law or agreed to in writing, software
11   * distributed under the License is distributed on an "AS IS" BASIS,
12   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13   * See the License for the specific language governing permissions and
14   * limitations under the License.
15   */
16  package com.irurueta.geometry;
17  
18  /**
19   * Helper class containing commonly used methods related to geometry.
20   */
21  public class Utils {
22      /**
23       * Amount to add/subtract to an angle in degrees to make a half turn.
24       */
25      public static final double HALF_TURN_DEGREES = 180.0;
26      
27      /**
28       * Amount to add/subtract to an angle in radians to make a half turn.
29       */
30      public static final double HALF_TURN_RADIANS = Math.PI;
31  
32      /**
33       * Constructor.
34       * Prevents instantiation.
35       */
36      private Utils() { }
37      
38      /**
39       * Converts provided value from radians to degrees.
40       * @param radians Angle in radians.
41       * @return Converted angle in degrees.
42       */
43      public static double convertToDegrees(final double radians) {
44          return radians / Math.PI * 180.0;
45      }
46      
47      /**
48       * Converts provided value from degrees to radians.
49       * @param degrees Angle in degrees.
50       * @return Converted angle in radians.
51       */
52      public static double convertToRadians(final double degrees) {
53          return degrees / 180.0 * Math.PI;
54      }   
55          
56      /**
57       * Normalizes an angle between the range -180...180 by adding or subtracting
58       * the required amount of turns.
59       * @param angle angle to be normalized expressed in degrees.
60       * @return the same angle but normalized.
61       */
62      public static double normalizeAngleDegrees(final double angle) {
63          return normalizeAngle(angle, HALF_TURN_DEGREES);
64      }
65      
66      /**
67       * Normalizes an angle between the range -pi...pi by adding or subtracting 
68       * the required amount of turns.
69       * @param angle angle to be normalized expressed in degrees.
70       * @return the same angle but normalized.
71       */
72      public static double normalizeAngleRadians(final double angle) {
73          return normalizeAngle(angle, HALF_TURN_RADIANS);
74      }
75      
76      /**
77       * Normalizes an angle between the range -pi...pi (or -180...180) by adding
78       * or subtracting the required amount of turns.
79       * This method can work with angles expressed either on degrees or radians
80       * depending on the units used for the definition of a half turn.
81       * @param angle angle to be normalized.
82       * @param halfTurn the definition of a half turn (either in degrees or 
83       * radians).
84       * @return the same angle but normalized.
85       */
86      private static double normalizeAngle(final double angle, final double halfTurn) {
87          var result = angle;
88          final var fullTurn = 2.0 * halfTurn;
89          
90          if (result <= -halfTurn) {
91              var nTurns = (int) Math.ceil(-result / fullTurn);
92              result += nTurns * fullTurn;
93              if (result > halfTurn) {
94                  result -= fullTurn;
95              }
96          }
97          if (result > halfTurn) {
98              var nTurns = (int) Math.ceil(result / fullTurn);
99              result -= nTurns * fullTurn;
100             if(result <= -halfTurn){
101                 result += fullTurn;
102             }
103         }
104         return result;
105     }
106 }