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/* $Id */

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/** @file math_func.hpp */

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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> static inline 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> static inline 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 inline 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 inline 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> static inline 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> static inline T Align(const T x, uint n)

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{

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	n--;

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	return (T)((x + n) & ~(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 inline 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 inline 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 inline int32 ClampToI32(const int64 a)

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{

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	if (a <= (int32)0x80000000) return 0x80000000;

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	if (a >= (int32)0x7FFFFFFF) return 0x7FFFFFFF;

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	return (int32)a;

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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> static inline T Delta(const T a, const T b) {

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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> static inline 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> static inline 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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#endif /* MATH_FUNC_HPP */