MathDefs.h File Reference

#include "../Math/Random.h"
#include <cstdlib>
#include <cmath>
#include <limits>
#include <type_traits>

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Enumerations
enum	Urho3D::Intersection { OUTSIDE , INTERSECTS , INSIDE }
	Intersection test result.

Functions
template<class T >
bool	Urho3D::Equals (T lhs, T rhs)
template<class T , class U >
T	Urho3D::Lerp (T lhs, T rhs, U t)
template<class T >
T	Urho3D::InverseLerp (T lhs, T rhs, T x)
template<class T , class U >
T	Urho3D::Min (T lhs, U rhs)
template<class T , class U >
T	Urho3D::Max (T lhs, U rhs)
template<class T >
T	Urho3D::Abs (T value)
template<class T >
T	Urho3D::Sign (T value)
template<class T >
T	Urho3D::ToRadians (const T degrees)
	Convert degrees to radians.
template<class T >
T	Urho3D::ToDegrees (const T radians)
	Convert radians to degrees.
unsigned	Urho3D::FloatToRawIntBits (float value)
	Return a representation of the specified floating-point value as a single format bit layout.
template<class T >
bool	Urho3D::IsNaN (T value)
template<class T >
bool	Urho3D::IsInf (T value)
	Check whether a floating point value is positive or negative infinity.
template<class T >
T	Urho3D::Clamp (T value, T min, T max)
template<class T >
T	Urho3D::SmoothStep (T lhs, T rhs, T t)
template<class T >
T	Urho3D::Sin (T angle)
template<class T >
T	Urho3D::Cos (T angle)
template<class T >
T	Urho3D::Tan (T angle)
template<class T >
T	Urho3D::Asin (T x)
template<class T >
T	Urho3D::Acos (T x)
template<class T >
T	Urho3D::Atan (T x)
template<class T >
T	Urho3D::Atan2 (T y, T x)
template<class T >
T	Urho3D::Pow (T x, T y)
template<class T >
T	Urho3D::Ln (T x)
template<class T >
T	Urho3D::Sqrt (T x)
template<class T , typename std::enable_if< std::is_floating_point< T >::value >::type * = nullptr>
T	Urho3D::Mod (T x, T y)
	Return remainder of X/Y for float values. More...
template<class T >
T	Urho3D::AbsMod (T x, T y)
	Return always positive remainder of X/Y.
template<class T >
T	Urho3D::Fract (T value)
template<class T >
T	Urho3D::Floor (T x)
template<class T >
int	Urho3D::FloorToInt (T x)
template<class T >
T	Urho3D::Round (T x)
template<class Iterator >
auto	Urho3D::Average (Iterator begin, Iterator end) -> typename std::decay< decltype(*begin)>::type
	Compute average value of the range.
template<class T >
int	Urho3D::RoundToInt (T x)
template<class T >
T	Urho3D::RoundToNearestMultiple (T x, T multiple)
	Round value to nearest multiple.
template<class T >
T	Urho3D::Ceil (T x)
template<class T >
int	Urho3D::CeilToInt (T x)
bool	Urho3D::IsPowerOfTwo (unsigned value)
	Check whether an unsigned integer is a power of two.
unsigned	Urho3D::NextPowerOfTwo (unsigned value)
	Round up to next power of two.
unsigned	Urho3D::ClosestPowerOfTwo (unsigned value)
	Round up or down to the closest power of two.
unsigned	Urho3D::LogBaseTwo (unsigned value)
	Return log base two or the MSB position of the given value.
unsigned	Urho3D::CountSetBits (unsigned value)
	Count the number of set bits in a mask.
constexpr unsigned	Urho3D::SDBMHash (unsigned hash, unsigned char c)
	Update a hash with the given 8-bit value using the SDBM algorithm.
float	Urho3D::Random ()
	Return a random float between 0.0 (inclusive) and 1.0 (exclusive).
float	Urho3D::Random (float range)
	Return a random float between 0.0 and range, inclusive from both ends.
float	Urho3D::Random (float min, float max)
	Return a random float between min and max, inclusive from both ends.
int	Urho3D::Random (int range)
int	Urho3D::Random (int min, int max)
float	Urho3D::RandomNormal (float meanValue, float variance)
	Return a random normal distributed number with the given mean value and variance.
unsigned short	Urho3D::FloatToHalf (float value)
	Convert float to half float. From https://gist.github.com/martinkallman/5049614.
float	Urho3D::HalfToFloat (unsigned short value)
	Convert half float to float. From https://gist.github.com/martinkallman/5049614.
void	Urho3D::SinCos (float angle, float &sin, float &cos)
	Calculate both sine and cosine, with angle in degrees.

Variables
static const float	Urho3D::M_PI = 3.14159265358979323846264338327950288f
static const float	Urho3D::M_HALF_PI = M_PI * 0.5f
static const int	Urho3D::M_MIN_INT = 0x80000000
static const int	Urho3D::M_MAX_INT = 0x7fffffff
static const unsigned	Urho3D::M_MIN_UNSIGNED = 0x00000000
static const unsigned	Urho3D::M_MAX_UNSIGNED = 0xffffffff
static const float	Urho3D::M_EPSILON = 0.000001f
static const float	Urho3D::M_LARGE_EPSILON = 0.00005f
static const float	Urho3D::M_MIN_NEARCLIP = 0.01f
static const float	Urho3D::M_MAX_FOV = 160.0f
static const float	Urho3D::M_LARGE_VALUE = 100000000.0f
static const float	Urho3D::M_INFINITY = (float)HUGE_VAL
static const float	Urho3D::M_DEGTORAD = M_PI / 180.0f
static const float	Urho3D::M_DEGTORAD_2 = M_PI / 360.0f
static const float	Urho3D::M_RADTODEG = 1.0f / M_DEGTORAD

Function Documentation

Abs()

template<class T >

T Urho3D::Abs ( T  value )

inline

Return absolute value of a value.

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Acos()

template<class T >

T Urho3D::Acos ( T  x )

inline

Return arc cosine in degrees.

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Asin()

template<class T >

T Urho3D::Asin ( T  x )

inline

Return arc sine in degrees.

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Atan()

template<class T >

T Urho3D::Atan ( T  x )

inline

Return arc tangent in degrees.

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Atan2()

template<class T >

T Urho3D::Atan2 ( T  y, T  x  )

inline

Return arc tangent of y/x in degrees.

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Ceil()

template<class T >

T Urho3D::Ceil ( T  x )

inline

Round value up.

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CeilToInt()

template<class T >

int Urho3D::CeilToInt ( T  x )

inline

Round value up.

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Clamp()

template<class T >

T Urho3D::Clamp ( T  value, T  min, T  max  )

inline

Clamp a number to a range.

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Cos()

template<class T >

T Urho3D::Cos ( T  angle )

inline

Return cosine of an angle in degrees.

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Equals()

template<class T >

bool Urho3D::Equals ( T  lhs, T  rhs  )

inline

Check whether two floating point values are equal within accuracy.

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Floor()

template<class T >

T Urho3D::Floor ( T  x )

inline

Round value down.

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FloorToInt()

template<class T >

int Urho3D::FloorToInt ( T  x )

inline

Round value down. Returns integer value.

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Fract()

template<class T >

T Urho3D::Fract ( T  value )

inline

Return fractional part of passed value in range [0, 1).

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InverseLerp()

template<class T >

T Urho3D::InverseLerp ( T  lhs, T  rhs, T  x  )

inline

Inverse linear interpolation between two values.

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IsNaN()

template<class T >

bool Urho3D::IsNaN ( T  value )

inline

Check whether a floating point value is NaN.

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Lerp()

template<class T , class U >

T Urho3D::Lerp ( T  lhs, T  rhs, U  t  )

inline

Linear interpolation between two values.

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Ln()

template<class T >

T Urho3D::Ln ( T  x )

inline

Return natural logarithm of X.

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Max()

template<class T , class U >

T Urho3D::Max ( T  lhs, U  rhs  )

inline

Return the larger of two values.

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Min()

template<class T , class U >

T Urho3D::Min ( T  lhs, U  rhs  )

inline

Return the smaller of two values.

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Mod()

template<class T , typename std::enable_if< std::is_floating_point< T >::value >::type * = nullptr>

T Urho3D::Mod ( T  x, T  y  )

inline

Return remainder of X/Y for float values.

Return remainder of X/Y for integer values.

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Pow()

template<class T >

T Urho3D::Pow ( T  x, T  y  )

inline

Return X in power Y.

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Random() [1/2]

int Urho3D::Random ( int  min, int  max  )

inline

Return a random integer between min and max - 1.

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Random() [2/2]

int Urho3D::Random ( int  range )

inline

Return a random integer between 0 and range - 1.

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Round()

template<class T >

T Urho3D::Round ( T  x )

inline

Round value to nearest integer.

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RoundToInt()

template<class T >

int Urho3D::RoundToInt ( T  x )

inline

Round value to nearest integer.

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Sign()

template<class T >

T Urho3D::Sign ( T  value )

inline

Return the sign of a float (-1, 0 or 1).

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Sin()

template<class T >

T Urho3D::Sin ( T  angle )

inline

Return sine of an angle in degrees.

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SmoothStep()

template<class T >

T Urho3D::SmoothStep ( T  lhs, T  rhs, T  t  )

inline

Smoothly damp between values.

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Sqrt()

template<class T >

T Urho3D::Sqrt ( T  x )

inline

Return square root of X.

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Tan()

template<class T >

T Urho3D::Tan ( T  angle )

inline

Return tangent of an angle in degrees.

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