src/core/bitmath_func.hpp
author rubidium
Wed, 09 Jul 2008 13:32:13 +0000
branchnoai
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/* $Id$ */
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/** @file bitmath_func.hpp Functions related to bit mathematics. */
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#ifndef BITMATH_FUNC_HPP
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#define BITMATH_FUNC_HPP
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/**
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 * Fetch n bits from x, started at bit s.
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 *
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 * This function can be used to fetch n bits from the value x. The
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 * s value set the startposition to read. The startposition is
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 * count from the LSB and starts at 0. The result starts at a
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 * LSB, as this isn't just an and-bitmask but also some
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 * bit-shifting operations. GB(0xFF, 2, 1) will so
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 * return 0x01 (0000 0001) instead of
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 * 0x04 (0000 0100).
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 *
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 * @param x The value to read some bits.
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 * @param s The startposition to read some bits.
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 * @param n The number of bits to read.
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 * @return The selected bits, aligned to a LSB.
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 */
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template <typename T>
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static FORCEINLINE uint GB(const T x, const uint8 s, const uint8 n)
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{
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	return (x >> s) & ((1U << n) - 1);
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}
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/** Set n bits from x starting at bit s to d
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 *
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 * This function sets n bits from x which started as bit s to the value of
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 * d. The parameters x, s and n works the same as the parameters of
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 * #GB. The result is saved in x again. Unused bits in the window
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 * provided by n are set to 0 if the value of b isn't "big" enough.
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 * This is not a bug, its a feature.
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 *
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 * @note Parameter x must be a variable as the result is saved there.
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 * @note To avoid unexpecting results the value of b should not use more
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 *       space as the provided space of n bits (log2)
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 * @param x The variable to change some bits
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 * @param s The startposition for the new bits
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 * @param n The size/window for the new bits
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 * @param d The actually new bits to save in the defined position.
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 * @return The new value of x
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 */
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template <typename T, typename U>
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static FORCEINLINE T SB(T &x, const uint8 s, const uint8 n, const U d)
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{
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	x &= (T)(~(((1U << n) - 1) << s));
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	x |= (T)(d << s);
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	return x;
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}
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/** Add i to n bits of x starting at bit s.
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 *
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 * This add the value of i on n bits of x starting at bit s. The parameters x,
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 * s, i are similar to #GB besides x must be a variable as the result are
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 * saved there. An overflow does not affect the following bits of the given
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 * bit window and is simply ignored.
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 *
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 * @note Parameter x must be a variable as the result is saved there.
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 * @param x The variable to add some bits at some position
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 * @param s The startposition of the addition
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 * @param n The size/window for the addition
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 * @param i The value to add at the given startposition in the given window.
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 * @return The new value of x
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 */
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template <typename T, typename U>
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static FORCEINLINE T AB(T &x, const uint8 s, const uint8 n, const U i)
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{
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	const T mask = (T)(((1U << n) - 1) << s);
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	x = (T)((x & ~mask) | ((x + (i << s)) & mask));
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	return x;
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}
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/**
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 * Checks if a bit in a value is set.
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 *
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 * This function checks if a bit inside a value is set or not.
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 * The y value specific the position of the bit, started at the
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 * LSB and count from 0.
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 *
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 * @param x The value to check
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 * @param y The position of the bit to check, started from the LSB
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 * @return True if the bit is set, false else.
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 */
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template <typename T>
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static FORCEINLINE bool HasBit(const T x, const uint8 y)
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{
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	return (x & ((T)1U << y)) != 0;
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}
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/**
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 * Check several bits in a value.
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 *
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 * This macro checks if a value contains at least one bit of an other
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 * value.
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 *
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 * @param x The first value
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 * @param y The second value
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 * @return True if at least one bit is set in both values, false else.
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 */
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#define HASBITS(x, y) (((x) & (y)) != 0)
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/**
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 * Set a bit in a variable.
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 *
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 * This function sets a bit in a variable. The variable is changed
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 * and the value is also returned. Parameter y defines the bit and
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 * starts at the LSB with 0.
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 *
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 * @param x The variable to set a bit
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 * @param y The bit position to set
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 * @return The new value of the old value with the bit set
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 */
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template <typename T>
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static FORCEINLINE T SetBit(T &x, const uint8 y)
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{
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	return x = (T)(x | (T)(1U << y));
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}
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/**
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 * Sets several bits in a variable.
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 *
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 * This macro sets several bits in a variable. The bits to set are provided
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 * by a value. The new value is also returned.
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 *
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 * @param x The variable to set some bits
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 * @param y The value with set bits for setting them in the variable
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 * @return The new value of x
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 */
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#define SETBITS(x, y) ((x) |= (y))
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/**
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 * Clears a bit in a variable.
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 *
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 * This function clears a bit in a variable. The variable is
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 * changed and the value is also returned. Parameter y defines the bit
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 * to clear and starts at the LSB with 0.
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 *
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 * @param x The variable to clear the bit
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 * @param y The bit position to clear
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 * @return The new value of the old value with the bit cleared
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 */
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template <typename T>
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static FORCEINLINE T ClrBit(T &x, const uint8 y)
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{
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	return x = (T)(x & ~((T)1U << y));
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}
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/**
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 * Clears several bits in a variable.
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 *
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 * This macro clears several bits in a variable. The bits to clear are
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 * provided by a value. The new value is also returned.
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 *
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 * @param x The variable to clear some bits
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 * @param y The value with set bits for clearing them in the variable
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 * @return The new value of x
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 */
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#define CLRBITS(x, y) ((x) &= ~(y))
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/**
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 * Toggles a bit in a variable.
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 *
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 * This function toggles a bit in a variable. The variable is
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 * changed and the value is also returned. Parameter y defines the bit
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 * to toggle and starts at the LSB with 0.
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 *
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 * @param x The varliable to toggle the bit
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 * @param y The bit position to toggle
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 * @return The new value of the old value with the bit toggled
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 */
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template <typename T>
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static FORCEINLINE T ToggleBit(T &x, const uint8 y)
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{
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	return x = (T)(x ^ (T)(1U << y));
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}
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/** Lookup table to check which bit is set in a 6 bit variable */
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extern const uint8 _ffb_64[64];
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/**
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 * Returns the first occure of a bit in a 6-bit value (from right).
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 *
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 * Returns the position of the first bit that is not zero, counted from the
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 * LSB. Ie, 110100 returns 2, 000001 returns 0, etc. When x == 0 returns
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 * 0.
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 *
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 * @param x The 6-bit value to check the first zero-bit
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 * @return The first position of a bit started from the LSB or 0 if x is 0.
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 */
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#define FIND_FIRST_BIT(x) _ffb_64[(x)]
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/**
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 * Finds the position of the first bit in an integer.
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 *
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 * This function returns the position of the first bit set in the
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 * integer. It does only check the bits of the bitmask
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 * 0x3F3F (0011111100111111) and checks only the
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 * bits of the bitmask 0x3F00 if and only if the
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 * lower part 0x00FF is 0. This results the bits at 0x00C0 must
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 * be also zero to check the bits at 0x3F00.
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 *
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 * @param value The value to check the first bits
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 * @return The position of the first bit which is set
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 * @see FIND_FIRST_BIT
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 */
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static FORCEINLINE uint8 FindFirstBit2x64(const int value)
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{
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	if ((value & 0xFF) == 0) {
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		return FIND_FIRST_BIT((value >> 8) & 0x3F) + 8;
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	} else {
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		return FIND_FIRST_BIT(value & 0x3F);
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	}
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}
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uint8 FindFirstBit(uint32 x);
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uint8 FindLastBit(uint64 x);
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/**
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 * Clear the first bit in an integer.
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 *
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 * This function returns a value where the first bit (from LSB)
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 * is cleared.
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 * So, 110100 returns 110000, 000001 returns 000000, etc.
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 *
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 * @param value The value to clear the first bit
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 * @return The new value with the first bit cleared
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 */
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template <typename T>
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static FORCEINLINE T KillFirstBit(T value)
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{
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	return value &= (T)(value - 1);
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}
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/**
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 * Counts the number of set bits in a variable.
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 *
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 * @param value the value to count the number of bits in.
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 * @return the number of bits.
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 */
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template <typename T>
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static inline uint CountBits(T value)
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{
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	uint num;
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	/* This loop is only called once for every bit set by clearing the lowest
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	 * bit in each loop. The number of bits is therefore equal to the number of
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	 * times the loop was called. It was found at the following website:
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	 * http://graphics.stanford.edu/~seander/bithacks.html */
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	for (num = 0; value != 0; num++) {
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		value &= (T)(value - 1);
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	}
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	return num;
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}
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/**
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 * ROtate x Left by n
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 *
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 * @note Assumes a byte has 8 bits
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 * @param x The value which we want to rotate
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 * @param n The number how many we waht to rotate
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 * @return A bit rotated number
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 */
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template <typename T>
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static FORCEINLINE T ROL(const T x, const uint8 n)
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{
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	return (T)(x << n | x >> (sizeof(x) * 8 - n));
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}
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/**
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 * ROtate x Right by n
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 *
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 * @note Assumes a byte has 8 bits
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 * @param x The value which we want to rotate
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 * @param n The number how many we waht to rotate
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 * @return A bit rotated number
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 */
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template <typename T>
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static FORCEINLINE T ROR(const T x, const uint8 n)
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{
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	return (T)(x >> n | x << (sizeof(x) * 8 - n));
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}
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/**
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 * Do an operation for each set set bit in a value.
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 *
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 * This macros is used to do an operation for each set
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 * bit in a variable. The first variable can be reused
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 * in the operation due to it's the bit position counter.
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 * The second variable will be cleared during the usage
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 *
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 * @param i The position counter
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 * @param b The value which we check for set bits
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 */
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#define FOR_EACH_SET_BIT(i, b)      \
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	for (i = 0; b != 0; i++, b >>= 1) \
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		if (b & 1)
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#if defined(__APPLE__)
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	/* Make endian swapping use Apple's macros to increase speed
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	 * (since it will use hardware swapping if available).
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	 * Even though they should return uint16 and uint32, we get
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	 * warnings if we don't cast those (why?) */
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	#define BSWAP32(x) ((uint32)Endian32_Swap(x))
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	#define BSWAP16(x) ((uint16)Endian16_Swap(x))
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#else
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	/**
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	 * Perform a 32 bits endianness bitswap on x.
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	 * @param x the variable to bitswap
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	 * @return the bitswapped value.
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	 */
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	static FORCEINLINE uint32 BSWAP32(uint32 x)
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	{
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		return ((x >> 24) & 0xFF) | ((x >> 8) & 0xFF00) | ((x << 8) & 0xFF0000) | ((x << 24) & 0xFF000000);
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	}
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	/**
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	 * Perform a 16 bits endianness bitswap on x.
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	 * @param x the variable to bitswap
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	 * @return the bitswapped value.
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	 */
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	static FORCEINLINE uint16 BSWAP16(uint16 x)
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	{
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		return (x >> 8) | (x << 8);
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	}
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#endif /* __APPLE__ */
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#endif /* BITMATH_FUNC_HPP */