faebe10d81
All zoom levels are stored and a kind of RLE is used. Together with further changes and reducing number of variables, drawing is ~50% faster in average.
268 lines
6.7 KiB
C++
268 lines
6.7 KiB
C++
/* $Id$ */
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/** @file math_func.hpp Integer math functions */
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#ifndef MATH_FUNC_HPP
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#define MATH_FUNC_HPP
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#ifdef min
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#undef min
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#endif
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#ifdef max
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#undef max
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#endif
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#ifdef abs
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#undef abs
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#endif
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/**
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* Returns the maximum of two values.
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*
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* This function returns the greater value of two given values.
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* If they are equal the value of a is returned.
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*
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* @param a The first value
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* @param b The second value
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* @return The greater value or a if equals
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*/
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template <typename T>
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static FORCEINLINE T max(const T a, const T b)
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{
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return (a >= b) ? a : b;
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}
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/**
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* Returns the minimum of two values.
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*
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* This function returns the smaller value of two given values.
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* If they are equal the value of b is returned.
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*
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* @param a The first value
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* @param b The second value
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* @return The smaller value or b if equals
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*/
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template <typename T>
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static FORCEINLINE T min(const T a, const T b)
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{
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return (a < b) ? a : b;
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}
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/**
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* Returns the minimum of two integer.
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*
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* This function returns the smaller value of two given integers.
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*
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* @param a The first integer
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* @param b The second integer
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* @return The smaller value
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*/
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static FORCEINLINE int min(const int a, const int b)
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{
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return (a < b) ? a : b;
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}
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/**
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* Returns the minimum of two unsigned integers.
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*
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* This function returns the smaller value of two given unsigned integers.
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*
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* @param a The first unsigned integer
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* @param b The second unsigned integer
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* @return The smaller value
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*/
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static FORCEINLINE uint minu(const uint a, const uint b)
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{
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return (a < b) ? a : b;
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}
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/**
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* Returns the absolute value of (scalar) variable.
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*
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* @note assumes variable to be signed
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* @param a The value we want to unsign
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* @return The unsigned value
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*/
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template <typename T>
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static FORCEINLINE T abs(const T a)
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{
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return (a < (T)0) ? -a : a;
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}
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/**
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* Return the smallest multiple of n equal or greater than x
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*
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* @note n must be a power of 2
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* @param x The min value
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* @param n The base of the number we are searching
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* @return The smallest multiple of n equal or greater than x
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*/
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template <typename T>
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static FORCEINLINE T Align(const T x, uint n)
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{
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assert((n & (n - 1)) == 0 && n != 0);
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n--;
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return (T)((x + n) & ~((T)n));
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}
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/**
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* Return the smallest multiple of n equal or greater than x
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* Applies to pointers only
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*
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* @note n must be a power of 2
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* @param x The min value
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* @param n The base of the number we are searching
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* @return The smallest multiple of n equal or greater than x
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* @see Align()
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*/
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assert_compile(sizeof(size_t) == sizeof(void *));
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template <typename T>
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static FORCEINLINE T *AlignPtr(T *x, uint n)
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{
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return (T *)Align((size_t)x, n);
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}
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/**
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* Clamp an integer between an interval.
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*
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* This function returns a value which is between the given interval of
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* min and max. If the given value is in this interval the value itself
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* is returned otherwise the border of the interval is returned, according
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* which side of the interval was 'left'.
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*
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* @note The min value must be less or equal of max or you get some
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* unexpected results.
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* @param a The value to clamp/truncate.
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* @param min The minimum of the interval.
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* @param max the maximum of the interval.
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* @returns A value between min and max which is closest to a.
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* @see ClampU(uint, uint, uint)
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*/
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static FORCEINLINE int Clamp(const int a, const int min, const int max)
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{
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if (a <= min) return min;
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if (a >= max) return max;
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return a;
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}
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/**
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* Clamp an unsigned integer between an interval.
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*
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* This function returns a value which is between the given interval of
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* min and max. If the given value is in this interval the value itself
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* is returned otherwise the border of the interval is returned, according
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* which side of the interval was 'left'.
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*
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* @note The min value must be less or equal of max or you get some
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* unexpected results.
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* @param a The value to clamp/truncate.
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* @param min The minimum of the interval.
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* @param max the maximum of the interval.
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* @returns A value between min and max which is closest to a.
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* @see Clamp(int, int, int)
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*/
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static FORCEINLINE uint ClampU(const uint a, const uint min, const uint max)
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{
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if (a <= min) return min;
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if (a >= max) return max;
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return a;
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}
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/**
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* Reduce a signed 64-bit int to a signed 32-bit one
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*
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* This function clamps a 64-bit integer to a 32-bit integer.
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* If the 64-bit value is smaller than the smallest 32-bit integer
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* value 0x80000000 this value is returned (the left one bit is the sign bit).
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* If the 64-bit value is greater than the greatest 32-bit integer value 0x7FFFFFFF
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* this value is returned. In all other cases the 64-bit value 'fits' in a
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* 32-bits integer field and so the value is casted to int32 and returned.
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*
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* @param a The 64-bit value to clamps
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* @return The 64-bit value reduced to a 32-bit value
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* @see Clamp(int, int, int)
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*/
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static FORCEINLINE int32 ClampToI32(const int64 a)
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{
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if (a <= INT32_MIN) return INT32_MIN;
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if (a >= INT32_MAX) return INT32_MAX;
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return (int32)a;
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}
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/**
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* Reduce an unsigned 64-bit int to an unsigned 16-bit one
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*
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* @param a The 64-bit value to clamp
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* @return The 64-bit value reduced to a 16-bit value
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* @see ClampU(uint, uint, uint)
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*/
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static FORCEINLINE uint16 ClampToU16(const uint64 a)
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{
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return (uint16)(a <= UINT16_MAX ? a : UINT16_MAX);
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}
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/**
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* Returns the (absolute) difference between two (scalar) variables
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*
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* @param a The first scalar
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* @param b The second scalar
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* @return The absolute difference between the given scalars
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*/
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template <typename T>
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static FORCEINLINE T Delta(const T a, const T b)
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{
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return (a < b) ? b - a : a - b;
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}
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/**
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* Checks if a value is between a window started at some base point.
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*
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* This function checks if the value x is between the value of base
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* and base+size. If x equals base this returns true. If x equals
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* base+size this returns false.
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*
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* @param x The value to check
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* @param base The base value of the interval
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* @param size The size of the interval
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* @return True if the value is in the interval, false else.
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*/
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template <typename T>
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static FORCEINLINE bool IsInsideBS(const T x, const uint base, const uint size)
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{
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return (uint)(x - base) < size;
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}
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/**
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* Checks if a value is in an interval.
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*
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* Returns true if a value is in the interval of [min, max).
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*
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* @param a The value to check
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* @param min The minimum of the interval
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* @param max The maximum of the interval
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* @see IsInsideBS()
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*/
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template <typename T>
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static FORCEINLINE bool IsInsideMM(const T x, const uint min, const uint max)
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{
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return (uint)(x - min) < (max - min);
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}
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/**
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* Type safe swap operation
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* @param a variable to swap with b
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* @param b variable to swap with a
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*/
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template <typename T>
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static FORCEINLINE void Swap(T &a, T &b)
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{
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T t = a;
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a = b;
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b = t;
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}
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#endif /* MATH_FUNC_HPP */
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