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1/*
2 * Copyright (C) 2009 The Android Open Source Project
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
17package android.util;
18
19import java.util.Random;
20
21/**
22 * A class that contains utility methods related to numbers.
23 *
24 * @hide Pending API council approval
25 */
26public final class MathUtils {
27    private static final Random sRandom = new Random();
28    private static final float DEG_TO_RAD = 3.1415926f / 180.0f;
29    private static final float RAD_TO_DEG = 180.0f / 3.1415926f;
30
31    private MathUtils() {
32    }
33
34    public static float abs(float v) {
35        return v > 0 ? v : -v;
36    }
37
38    public static int constrain(int amount, int low, int high) {
39        return amount < low ? low : (amount > high ? high : amount);
40    }
41
42    public static long constrain(long amount, long low, long high) {
43        return amount < low ? low : (amount > high ? high : amount);
44    }
45
46    public static float constrain(float amount, float low, float high) {
47        return amount < low ? low : (amount > high ? high : amount);
48    }
49
50    public static float log(float a) {
51        return (float) Math.log(a);
52    }
53
54    public static float exp(float a) {
55        return (float) Math.exp(a);
56    }
57
58    public static float pow(float a, float b) {
59        return (float) Math.pow(a, b);
60    }
61
62    public static float max(float a, float b) {
63        return a > b ? a : b;
64    }
65
66    public static float max(int a, int b) {
67        return a > b ? a : b;
68    }
69
70    public static float max(float a, float b, float c) {
71        return a > b ? (a > c ? a : c) : (b > c ? b : c);
72    }
73
74    public static float max(int a, int b, int c) {
75        return a > b ? (a > c ? a : c) : (b > c ? b : c);
76    }
77
78    public static float min(float a, float b) {
79        return a < b ? a : b;
80    }
81
82    public static float min(int a, int b) {
83        return a < b ? a : b;
84    }
85
86    public static float min(float a, float b, float c) {
87        return a < b ? (a < c ? a : c) : (b < c ? b : c);
88    }
89
90    public static float min(int a, int b, int c) {
91        return a < b ? (a < c ? a : c) : (b < c ? b : c);
92    }
93
94    public static float dist(float x1, float y1, float x2, float y2) {
95        final float x = (x2 - x1);
96        final float y = (y2 - y1);
97        return (float) Math.hypot(x, y);
98    }
99
100    public static float dist(float x1, float y1, float z1, float x2, float y2, float z2) {
101        final float x = (x2 - x1);
102        final float y = (y2 - y1);
103        final float z = (z2 - z1);
104        return (float) Math.sqrt(x * x + y * y + z * z);
105    }
106
107    public static float mag(float a, float b) {
108        return (float) Math.hypot(a, b);
109    }
110
111    public static float mag(float a, float b, float c) {
112        return (float) Math.sqrt(a * a + b * b + c * c);
113    }
114
115    public static float sq(float v) {
116        return v * v;
117    }
118
119    public static float dot(float v1x, float v1y, float v2x, float v2y) {
120        return v1x * v2x + v1y * v2y;
121    }
122
123    public static float cross(float v1x, float v1y, float v2x, float v2y) {
124        return v1x * v2y - v1y * v2x;
125    }
126
127    public static float radians(float degrees) {
128        return degrees * DEG_TO_RAD;
129    }
130
131    public static float degrees(float radians) {
132        return radians * RAD_TO_DEG;
133    }
134
135    public static float acos(float value) {
136        return (float) Math.acos(value);
137    }
138
139    public static float asin(float value) {
140        return (float) Math.asin(value);
141    }
142
143    public static float atan(float value) {
144        return (float) Math.atan(value);
145    }
146
147    public static float atan2(float a, float b) {
148        return (float) Math.atan2(a, b);
149    }
150
151    public static float tan(float angle) {
152        return (float) Math.tan(angle);
153    }
154
155    public static float lerp(float start, float stop, float amount) {
156        return start + (stop - start) * amount;
157    }
158
159    /**
160     * Returns an interpolated angle in degrees between a set of start and end
161     * angles.
162     * <p>
163     * Unlike {@link #lerp(float, float, float)}, the direction and distance of
164     * travel is determined by the shortest angle between the start and end
165     * angles. For example, if the starting angle is 0 and the ending angle is
166     * 350, then the interpolated angle will be in the range [0,-10] rather
167     * than [0,350].
168     *
169     * @param start the starting angle in degrees
170     * @param end the ending angle in degrees
171     * @param amount the position between start and end in the range [0,1]
172     *               where 0 is the starting angle and 1 is the ending angle
173     * @return the interpolated angle in degrees
174     */
175    public static float lerpDeg(float start, float end, float amount) {
176        final float minAngle = (((end - start) + 180) % 360) - 180;
177        return minAngle * amount + start;
178    }
179
180    public static float norm(float start, float stop, float value) {
181        return (value - start) / (stop - start);
182    }
183
184    public static float map(float minStart, float minStop, float maxStart, float maxStop, float value) {
185        return maxStart + (maxStart - maxStop) * ((value - minStart) / (minStop - minStart));
186    }
187
188    public static int random(int howbig) {
189        return (int) (sRandom.nextFloat() * howbig);
190    }
191
192    public static int random(int howsmall, int howbig) {
193        if (howsmall >= howbig) return howsmall;
194        return (int) (sRandom.nextFloat() * (howbig - howsmall) + howsmall);
195    }
196
197    public static float random(float howbig) {
198        return sRandom.nextFloat() * howbig;
199    }
200
201    public static float random(float howsmall, float howbig) {
202        if (howsmall >= howbig) return howsmall;
203        return sRandom.nextFloat() * (howbig - howsmall) + howsmall;
204    }
205
206    public static void randomSeed(long seed) {
207        sRandom.setSeed(seed);
208    }
209
210    /**
211     * Returns the sum of the two parameters, or throws an exception if the resulting sum would
212     * cause an overflow or underflow.
213     * @throws IllegalArgumentException when overflow or underflow would occur.
214     */
215    public static int addOrThrow(int a, int b) throws IllegalArgumentException {
216        if (b == 0) {
217            return a;
218        }
219
220        if (b > 0 && a <= (Integer.MAX_VALUE - b)) {
221            return a + b;
222        }
223
224        if (b < 0 && a >= (Integer.MIN_VALUE - b)) {
225            return a + b;
226        }
227        throw new IllegalArgumentException("Addition overflow: " + a + " + " + b);
228    }
229}
230