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/*
* Copyright (c) 2008-2016, Hazelcast, Inc. All Rights Reserved.
* Portions Copyright 2014 Real Logic Ltd.
*
* 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 com.hazelcast.util;
/**
* The class {@code QuickMath} contains methods to perform optimized mathematical operations.
* Methods are allowed to put additional constraints on the range of input values if required for efficiency.
* Methods are not required to perform validation of input arguments, but they have to indicate the constraints
* in theirs contract.
*/
public final class QuickMath {
private QuickMath() {
}
/**
* Return true if input argument is power of two.
* Input has to be a a positive integer.
*
* Result is undefined for zero or negative integers.
*
* @param x test x to see if it is a power of two
* @return true if x is power of two
*/
public static boolean isPowerOfTwo(long x) {
return (x & (x - 1)) == 0;
}
/**
* Computes the remainder of the division of a by b.
* a has to be a non-negative integer and b has to be a power of two,
* otherwise the result is undefined.
*
* @param a divide a by b. a must be a non-negative integer
* @param b divide a by b. b must be a power of two
* @return remainder of the division of a by b.
*/
public static int modPowerOfTwo(int a, int b) {
return a & (b - 1);
}
/**
* Computes the remainder of the division of a by b.
* a has to be a non-negative integer and b has to be a power of two,
* otherwise the result is undefined.
*
* @param a divide a by b. a must be a non-negative integer
* @param b divide a by b. b must be a power of two
* @return remainder of the division of a by b.
*/
public static long modPowerOfTwo(long a, int b) {
return a & (b - 1);
}
/**
* Fast method of finding the next power of 2 greater than or equal to the supplied value.
*
* If the value is <= 0 then 1 will be returned.
*
* This method is not suitable for {@link Integer#MIN_VALUE} or numbers greater than 2^30.
*
* @param value from which to search for next power of 2
* @return The next power of 2 or the value itself if it is a power of 2
*/
public static int nextPowerOfTwo(final int value) {
return 1 << (32 - Integer.numberOfLeadingZeros(value - 1));
}
/**
* Fast method of finding the next power of 2 greater than or equal to the supplied value.
*
* If the value is <= 0 then 1 will be returned.
*
* This method is not suitable for {@link Long#MIN_VALUE} or numbers greater than 2^62.
*
* @param value from which to search for next power of 2
* @return The next power of 2 or the value itself if it is a power of 2
*/
public static long nextPowerOfTwo(final long value) {
return 1L << (64 - Long.numberOfLeadingZeros(value - 1));
}
/**
* Return the log 2 result for this int.
*
* @param value the int value
* @return the log 2 result for value
*/
public static int log2(int value) {
return 31 - Integer.numberOfLeadingZeros(value);
}
/**
* Return the log 2 result for this long.
*
* @param value the long value
* @return the log 2 result for value
*/
public static int log2(long value) {
return 63 - Long.numberOfLeadingZeros(value);
}
/**
* Divide d by k and return the smallest integer greater than or equal to the result.
*
* @param d divide d by k
* @param k divide d by k
* @return the smallest integer greater than or equal to the result
*/
public static int divideByAndCeilToInt(double d, int k) {
return (int) Math.ceil(d / k);
}
/**
* Divide d by k and return the smallest integer greater than or equal to the result.
*
* @param d divide d by k
* @param k divide d by k
* @return the smallest integer greater than or equal to the result
*/
public static long divideByAndCeilToLong(double d, int k) {
return (long) Math.ceil(d / k);
}
/**
* Divide d by k and return the int value closest to the result.
*
* @param d divide d by k
* @param k divide d by k
* @return the int value closest to the result
*/
public static int divideByAndRoundToInt(double d, int k) {
return (int) Math.rint(d / k);
}
/**
* Divide d by k and return the long value closest to the result.
*
* @param d divide d by k
* @param k divide d by k
* @return the long value closest to the result
*/
public static long divideByAndRoundToLong(double d, int k) {
return (long) Math.rint(d / k);
}
/**
* Divide value by factor, take the smallest integer greater than or equal to the result,
* multiply that integer by factor, and return it.
*
* @param value normalize this value by factor
* @param factor normalize this value by factor
* @return the result of value being normalized by factor
*/
public static int normalize(int value, int factor) {
return divideByAndCeilToInt(value, factor) * factor;
}
/**
* Divide value by factor, take the smallest integer greater than or equal to the result,
* multiply that integer by factor, and return it.
*
* @param value normalize this value by factor
* @param factor normalize this value by factor
* @return the result of value being normalized by factor
*/
public static long normalize(long value, int factor) {
return divideByAndCeilToLong(value, factor) * factor;
}
public static String bytesToHex(byte[] in) {
final char[] hexArray = "0123456789abcdef".toCharArray();
char[] hexChars = new char[in.length * 2];
for (int j = 0; j < in.length; j++) {
int v = in[j] & 0xff;
hexChars[j * 2] = hexArray[v >>> 4];
hexChars[j * 2 + 1] = hexArray[v & 0xf];
}
return new String(hexChars);
}
/**
* Compares two integers
*
* @param i1 First number to compare with second one
* @param i2 Second number to compare with first one
* @return +1 if i1 > i2, -1 if i2 > i1, 0 if i1 and i2 are equals
*/
public static int compareIntegers(int i1, int i2) {
if (i1 > i2) {
return +1;
} else if (i2 > i1) {
return -1;
} else {
return 0;
}
}
/**
* Compares two longs
*
* @param l1 First number to compare with second one
* @param l2 Second number to compare with first one
* @return +1 if l1 > l2, -1 if l2 > l1, 0 if l1 and l2 are equals
*/
public static int compareLongs(long l1, long l2) {
if (l1 > l2) {
return +1;
} else if (l2 > l1) {
return -1;
} else {
return 0;
}
}
}
