math.hpp File Reference

#include <math.h>
#include <cmath>
#include <random>
#include <stdlib.h>
#include <set>
#include <limits>
#include "../base.hpp"

Go to the source code of this file.

Namespaces
	pic

Macros
#define	PIC_UTIL_MATH_HPP
#define	MIN(a, b)   (a < b ? a : b)
#define	MAX(a, b)   (a > b ? a : b)
#define	CLAMP(x, a)   (x >= a ? (a - 1) : (x < 0 ? 0 : x))
#define	CLAMPi(x, a, b)   (x < a ? a : (x > b ? b : x))

Functions
template<typename T >
PIC_INLINE bool	pic::isnan (T value)
	isnan is it a NaN? More...
template<typename T >
PIC_INLINE bool	pic::isinf (T value)
	isinf is it a Inf value? More...
PIC_INLINE bool	pic::equalf (float a, float b)
	equalf checks if two float values are the same or not. More...
PIC_INLINE float	pic::getRandombase ()
	Randombase returns a number in [0, 1] based on rand(). More...
PIC_INLINE float	pic::getRandom (unsigned int n)
	Random returns a number in [0, 2^32 - 1] to a float in [0, 1]. More...
PIC_INLINE int	pic::getRandomInt (int n, int a, int b)
	getRandomInt More...
PIC_INLINE float	pic::sFunction (float x)
	sFunction evaluates a cubic s-function. More...
PIC_INLINE float	pic::sCurve5 (float x)
	sCurve5 evaluates a quintic S-Shape: 6x^5-15x^4+10x^3 More...
PIC_INLINE float	pic::square (float x)
	Square applies square function to a value. More...
PIC_INLINE float	pic::sqrtf_s (float x)
	sqrtf_s More...
template<class T >
PIC_INLINE T	pic::Clamp (T x, T a, T b)
	Clamp clamps a value, x, in the bound [a,b]. More...
PIC_INLINE long	pic::lround (double x)
	lround rounds double numbers properly. More...
PIC_INLINE float	pic::lround (float x)
	lround rounds float numbers properly. More...
PIC_INLINE float	pic::lerp (float t, float x0, float x1)
	lerp evaluates linear interpolation More...
PIC_INLINE float	pic::SmoothStep (float a, float b, float value)
	SmoothStep smoothes a value from a to b using a cube S-Shape. More...
float	pic::Deg2Rad (float deg)
	Deg2Rad converts angles expressed in degrees into angles expressed in radians. More...
PIC_INLINE float	pic::Rad2Deg (float rad)
	Rad2Deg converts angles expressed in radians into angles expressed in degrees. More...
PIC_INLINE int	pic::log2 (int n)
	log2 computes logarithm in base 2 for integers. More...
PIC_INLINE int	pic::pow2 (int n)
	pow2 computes 2^n. More...
PIC_INLINE float	pic::log10PlusOne (float x)
	logf10PlusOne computes log10 of a value plus 1. More...
PIC_INLINE float	pic::expfMinusOne (float x)
	expMinusOne More...
PIC_INLINE float	pic::log10fPlusEpsilon (float x)
	log10fPlusEpsilon More...
PIC_INLINE float	pic::powf10fMinusEpsilon (float x)
	powf10fMinusEpsilon More...
PIC_INLINE float	pic::log2f (float x)
	log2f logarithm in base 2 for floating point More...
PIC_INLINE double	pic::log2 (double x)
	log2 More...
PIC_INLINE float	pic::log2fPlusEpsilon (float x)
	log2fPlusEpsilon More...
PIC_INLINE float	pic::pow2f (float x)
	pow2f More...
PIC_INLINE int	pic::powint (int x, int b)
	powint computes power function for integer values. More...
PIC_INLINE void	pic::getRandomPermutation (std::mt19937 &m, unsigned int *perm, unsigned int nPerm, unsigned int n)
	getRandomPermutation computes a random permutation. More...
PIC_INLINE float	pic::normalDistribution (float x, float mu=0.0f, float sigma=1.0f)
	normalDistribution More...
float	pic::normalCDF (float x, float mu, float sigma)
	normalCDF More...
PIC_INLINE float	pic::betaFunction (float A, float B, float step=1e-4)
	betaFunction More...
PIC_INLINE float	pic::betaPDFwithBeta (float x, float A, float B, float betaAB)
	betaPDFwithBeta More...
PIC_INLINE float	pic::betaPDF (float x, float A, float B)
	betaPDF More...
PIC_INLINE float	pic::sigmoid (float x)
	sigmoid More...
PIC_INLINE float	pic::sigmoidInv (float x)
	sigmoidInv More...
PIC_INLINE float	pic::simple8bitWithGamma (float x)
	simple8bitWithGamma More...

Variables
const float	pic::C_LOG_NAT_2 = 0.69314718055994530941723212145818f
const float	pic::C_INV_LOG_NAT_2 = 1.4426950408889634073599246810019f
const double	pic::C_INV_LOG_NAT_2_D = 1.4426950408889634073599246810019
const float	pic::C_EPSILON = 1e-6f
const float	pic::C_SQRT_2 = 1.4142135623730950488016887242097f
const float	pic::C_PI_025 = 0.78539816339744830961566084581988f
const float	pic::C_PI_05 = 1.5707963267948966192313216916398f
const float	pic::C_PI = 3.1415926535897932384626433832795f
const float	pic::C_PI_2 = 6.283185307179586476925286766559f
const float	pic::C_INV_PI_2 = 0.159154943091895335768883763f
const float	pic::C_PI_4 = 12.566370614359172953850573533118f
const float	pic::C_INV_PI_4 = 0.07957747154594766788444188168626f
const float	pic::C_PI_2_2 = 19.739208802178717237668981999752f
const float	pic::C_INV_PI = 0.31830988618379067153776526745f
const float	pic::C_ONE_80_OVER_PI = 57.295779513082320876798154814105f
const float	pic::C_PI_OVER_ONE_80 = 0.017453292519943295769236907685f

Macro Definition Documentation

CLAMP

#define CLAMP	(		x,
			a
	)		(x >= a ? (a - 1) : (x < 0 ? 0 : x))

CLAMPi

#define CLAMPi	(		x,
			a,
			b
	)		(x < a ? a : (x > b ? b : x))

MAX

#define MAX	(		a,
			b
	)		(a > b ? a : b)

MIN

#define MIN	(		a,
			b
	)		(a < b ? a : b)

PIC_UTIL_MATH_HPP

#define PIC_UTIL_MATH_HPP