/*
 * Copyright 2015 The Netty Project
 *
 * The Netty Project licenses this file to you 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 io.netty.util.internal;

Math utility methods.
/**
 * Math utility methods.
 */
public final class MathUtil {

    private MathUtil() {
    }

    
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 Integer.MIN_VALUE or numbers greater than 2^30. 
Params:
value – from which to search for next power of 2
Returns:
The next power of 2 or the value itself if it is a power of 2/**
     * Fast method of finding the next power of 2 greater than or equal to the supplied value.
     *
     * <p>If the value is {@code <= 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 findNextPositivePowerOfTwo(final int value) {
        assert value > Integer.MIN_VALUE && value < 0x40000000;
        return 1 << (32 - Integer.numberOfLeadingZeros(value - 1));
    }

    
Fast method of finding the next power of 2 greater than or equal to the supplied value.
This method will do runtime bounds checking and call findNextPositivePowerOfTwo(int) if within a valid range. 
Params:
value – from which to search for next power of 2
Returns:
The next power of 2 or the value itself if it is a power of 2.
Special cases for return values are as follows:

    
<= 0 -> 1
    
>= 2^30 -> 2^30
/**
     * Fast method of finding the next power of 2 greater than or equal to the supplied value.
     * <p>This method will do runtime bounds checking and call {@link #findNextPositivePowerOfTwo(int)} if within a
     * valid range.
     * @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.
     * <p>Special cases for return values are as follows:
     * <ul>
     *     <li>{@code <= 0} -> 1</li>
     *     <li>{@code >= 2^30} -> 2^30</li>
     * </ul>
     */
    public static int safeFindNextPositivePowerOfTwo(final int value) {
        return value <= 0 ? 1 : value >= 0x40000000 ? 0x40000000 : findNextPositivePowerOfTwo(value);
    }

    
Determine if the requested index and length will fit within capacity. 
Params:
index – The starting index.
length – The length which will be utilized (starting from index).
capacity – The capacity that index + length is allowed to be within.
Returns:
true if the requested index and length will fit within capacity. false if this would result in an index out of bounds exception./**
     * Determine if the requested {@code index} and {@code length} will fit within {@code capacity}.
     * @param index The starting index.
     * @param length The length which will be utilized (starting from {@code index}).
     * @param capacity The capacity that {@code index + length} is allowed to be within.
     * @return {@code true} if the requested {@code index} and {@code length} will fit within {@code capacity}.
     * {@code false} if this would result in an index out of bounds exception.
     */
    public static boolean isOutOfBounds(int index, int length, int capacity) {
        return (index | length | (index + length) | (capacity - (index + length))) < 0;
    }

    
Compares two int values. 
Params:
x – the first int to compare
y – the second int to compare
Returns:
the value 0 if x == y; -1 if x < y; and 1 if x > y/**
     * Compares two {@code int} values.
     *
     * @param  x the first {@code int} to compare
     * @param  y the second {@code int} to compare
     * @return the value {@code 0} if {@code x == y};
     *         {@code -1} if {@code x < y}; and
     *         {@code 1} if {@code x > y}
     */
    public static int compare(final int x, final int y) {
        // do not subtract for comparison, it could overflow
        return x < y ? -1 : (x > y ? 1 : 0);
    }

    
Compare two long values. 
Params:
x – the first long to compare.
y – the second long to compare.
Returns:


0 if x == y
> 0 if x > y
< 0 if x < y
/**
     * Compare two {@code long} values.
     * @param x the first {@code long} to compare.
     * @param y the second {@code long} to compare.
     * @return
     * <ul>
     * <li>0 if {@code x == y}</li>
     * <li>{@code > 0} if {@code x > y}</li>
     * <li>{@code < 0} if {@code x < y}</li>
     * </ul>
     */
    public static int compare(long x, long y) {
        return (x < y) ? -1 : (x > y) ? 1 : 0;
    }
}