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