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/*
* Copyright 2008 Google Inc.
*
* 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.
*/
package java.lang;
import static javaemul.internal.InternalPreconditions.checkCriticalArithmetic;
import jsinterop.annotations.JsMethod;
import jsinterop.annotations.JsPackage;
import jsinterop.annotations.JsType;
/**
* Math utility methods and constants.
*/
public final class Math {
// The following methods are not implemented because JS doesn't provide the
// necessary pieces:
// public static double ulp (double x)
// public static float ulp (float x)
// public static int getExponent (double d)
// public static int getExponent (float f)
// public static double IEEEremainder(double f1, double f2)
// public static double nextAfter(double start, double direction)
// public static float nextAfter(float start, float direction)
// public static double nextUp(double start) {
// return nextAfter(start, 1.0d);
// }
// public static float nextUp(float start) {
// return nextAfter(start,1.0f);
// }
public static final double E = 2.7182818284590452354;
public static final double PI = 3.14159265358979323846;
private static final double PI_OVER_180 = PI / 180.0;
private static final double PI_UNDER_180 = 180.0 / PI;
@JsMethod(namespace = "Math")
public static native double abs(double x);
@JsMethod(namespace = "Math")
public static native float abs(float x);
@JsMethod(namespace = "Math")
public static native int abs(int x);
public static long abs(long x) {
return x < 0 ? -x : x;
}
@JsMethod(namespace = "Math")
public static native double acos(double x);
@JsMethod(namespace = "Math")
public static native double asin(double x);
public static int addExact(int x, int y) {
double r = (double) x + (double) y;
checkCriticalArithmetic(isSafeIntegerRange(r));
return (int) r;
}
public static long addExact(long x, long y) {
long r = x + y;
// "Hacker's Delight" 2-12 Overflow if both arguments have the opposite sign of the result
checkCriticalArithmetic(((x ^ r) & (y ^ r)) >= 0);
return r;
}
@JsMethod(namespace = "Math")
public static native double atan(double x);
@JsMethod(namespace = "Math")
public static native double atan2(double y, double x);
public static double cbrt(double x) {
return x == 0 || !Double.isFinite(x) ? x : pow(x, 1.0 / 3.0);
}
@JsMethod(namespace = "Math")
public static native double ceil(double x);
public static double copySign(double magnitude, double sign) {
return isNegative(sign) ? -abs(magnitude) : abs(magnitude);
}
private static boolean isNegative(double d) {
return d < 0 || 1 / d < 0;
}
public static float copySign(float magnitude, float sign) {
return (float) copySign((double) magnitude, (double) sign);
}
@JsMethod(namespace = "Math")
public static native double cos(double x);
public static double cosh(double x) {
return (exp(x) + exp(-x)) / 2;
}
public static int decrementExact(int x) {
checkCriticalArithmetic(x != Integer.MIN_VALUE);
return x - 1;
}
public static long decrementExact(long x) {
checkCriticalArithmetic(x != Long.MIN_VALUE);
return x - 1;
}
@JsMethod(namespace = "Math")
public static native double exp(double x);
public static double expm1(double d) {
return d == 0 ? d : exp(d) - 1;
}
@JsMethod(namespace = "Math")
public static native double floor(double x);
public static int floorDiv(int dividend, int divisor) {
checkCriticalArithmetic(divisor != 0);
// round down division if the signs are different and modulo not zero
return ((dividend ^ divisor) >= 0 ? dividend / divisor : ((dividend + 1) / divisor) - 1);
}
public static long floorDiv(long dividend, long divisor) {
checkCriticalArithmetic(divisor != 0);
// round down division if the signs are different and modulo not zero
return ((dividend ^ divisor) >= 0 ? dividend / divisor : ((dividend + 1) / divisor) - 1);
}
public static int floorMod(int dividend, int divisor) {
checkCriticalArithmetic(divisor != 0);
return ((dividend % divisor) + divisor) % divisor;
}
public static long floorMod(long dividend, long divisor) {
checkCriticalArithmetic(divisor != 0);
return ((dividend % divisor) + divisor) % divisor;
}
public static double hypot(double x, double y) {
return Double.isInfinite(x) || Double.isInfinite(y) ?
Double.POSITIVE_INFINITY : sqrt(x * x + y * y);
}
public static int incrementExact(int x) {
checkCriticalArithmetic(x != Integer.MAX_VALUE);
return x + 1;
}
public static long incrementExact(long x) {
checkCriticalArithmetic(x != Long.MAX_VALUE);
return x + 1;
}
@JsMethod(namespace = "Math")
public static native double log(double x);
public static double log10(double x) {
return log(x) * NativeMath.LOG10E;
}
public static double log1p(double x) {
return x == 0 ? x : log(x + 1);
}
@JsMethod(namespace = "Math")
public static native double max(double x, double y);
@JsMethod(namespace = "Math")
public static native float max(float x, float y);
@JsMethod(namespace = "Math")
public static native int max(int x, int y);
public static long max(long x, long y) {
return x > y ? x : y;
}
@JsMethod(namespace = "Math")
public static native double min(double x, double y);
@JsMethod(namespace = "Math")
public static native float min(float x, float y);
@JsMethod(namespace = "Math")
public static native int min(int x, int y);
public static long min(long x, long y) {
return x < y ? x : y;
}
public static int multiplyExact(int x, int y) {
double r = (double) x * (double) y;
checkCriticalArithmetic(isSafeIntegerRange(r));
return (int) r;
}
public static long multiplyExact(long x, long y) {
if (y == -1) {
return negateExact(x);
}
if (y == 0) {
return 0;
}
long r = x * y;
checkCriticalArithmetic(r / y == x);
return r;
}
public static int negateExact(int x) {
checkCriticalArithmetic(x != Integer.MIN_VALUE);
return -x;
}
public static long negateExact(long x) {
checkCriticalArithmetic(x != Long.MIN_VALUE);
return -x;
}
@JsMethod(namespace = "Math")
public static native double pow(double x, double exp);
@JsMethod(namespace = "Math")
public static native double random();
public static double rint(double x) {
// Floating point has a mantissa with an accuracy of 52 bits so
// any number bigger than 2^52 is effectively a finite integer value.
// This case also filters out NaN and infinite values.
if (abs(x) < (double) (1L << 52)) {
double mod2 = x % 2;
if ((mod2 == -1.5) || (mod2 == 0.5)) {
x = floor(x);
} else {
x = round(x);
}
}
return x;
}
public static long round(double x) {
return (long) NativeMath.round(x);
}
public static int round(float x) {
return (int) NativeMath.round(x);
}
public static int subtractExact(int x, int y) {
double r = (double) x - (double) y;
checkCriticalArithmetic(isSafeIntegerRange(r));
return (int) r;
}
public static long subtractExact(long x, long y) {
long r = x - y;
// "Hacker's Delight" Overflow if the arguments have different signs and
// the sign of the result is different than the sign of x
checkCriticalArithmetic(((x ^ y) & (x ^ r)) >= 0);
return r;
}
public static double scalb(double d, int scaleFactor) {
if (scaleFactor >= 31 || scaleFactor <= -31) {
return d * pow(2, scaleFactor);
} else if (scaleFactor > 0) {
return d * (1 << scaleFactor);
} else if (scaleFactor == 0) {
return d;
} else {
return d / (1 << -scaleFactor);
}
}
public static float scalb(float f, int scaleFactor) {
return (float) scalb((double) f, scaleFactor);
}
public static double signum(double d) {
if (d == 0 || Double.isNaN(d)) {
return d;
} else {
return d < 0 ? -1 : 1;
}
}
public static float signum(float f) {
return (float) signum((double) f);
}
@JsMethod(namespace = "Math")
public static native double sin(double x);
public static double sinh(double x) {
return x == 0 ? x : (exp(x) - exp(-x)) / 2;
}
@JsMethod(namespace = "Math")
public static native double sqrt(double x);
@JsMethod(namespace = "Math")
public static native double tan(double x);
public static double tanh(double x) {
if (x == 0.0) {
return x;
} else if (Double.isInfinite(x)) {
return signum(x);
} else {
double e2x = exp(2 * x);
return (e2x - 1) / (e2x + 1);
}
}
public static double toDegrees(double x) {
return x * PI_UNDER_180;
}
public static int toIntExact(long x) {
int ix = (int) x;
checkCriticalArithmetic(ix == x);
return ix;
}
public static double toRadians(double x) {
return x * PI_OVER_180;
}
private static boolean isSafeIntegerRange(double value) {
return Integer.MIN_VALUE <= value && value <= Integer.MAX_VALUE;
}
@JsType(isNative = true, name = "Math", namespace = JsPackage.GLOBAL)
private static class NativeMath {
public static double LOG10E;
public static native double round(double x);
}
}
