Mathematical helper functions

Functions
template<typename F >
bool	approx (F a, F b, F epsilon=1e-5)
template<typename F >
bool	abs_approx (F a, F b, F epsilon=1e-5)
template<typename I , typename F >
I	ifloor (F arg)
template<typename I , typename F >
I	nearest (F arg)
double	fmodulo (double v1, double v2)
template<typename I >
I	imodulo (I v1, I v2)
template<typename T >
T	sign (const T &signvalue)
template<typename T , typename I >
T	xpow (I m, T val)
template<typename I >
uint32	isqrt (I arg)
template<typename I >
int	ilog2 (I arg)
double	safe_atan2 (double y, double x)
template<typename T , typename Iter , typename Comp >
void	interpol_helper (const Iter &begin, const Iter &end, const T &val, Comp comp, tsize &idx, T &frac)
template<typename T , typename Iter >
void	interpol_helper (const Iter &begin, const Iter &end, const T &val, tsize &idx, T &frac)

Detailed Description

Function Documentation

approx()

template<typename F >

bool approx ( F  a, F  b, F  epsilon = 1e-5  )

inline

Returns true if | a-b | <= epsilon * | b |, else false.

Definition at line 44 of file math_utils.h.

abs_approx()

template<typename F >

bool abs_approx ( F  a, F  b, F  epsilon = 1e-5  )

inline

Returns true if | a-b | <= epsilon, else false.

Definition at line 51 of file math_utils.h.

ifloor()

template<typename I , typename F >

I ifloor ( F  arg )

inline

Returns the largest integer which is smaller than (or equal to) arg.

Definition at line 58 of file math_utils.h.

nearest()

template<typename I , typename F >

I nearest ( F  arg )

inline

Returns the integer which is nearest to arg.

Definition at line 65 of file math_utils.h.

fmodulo()

double fmodulo ( double  v1, double  v2  )

inline

Returns the remainder of the division v1/v2. The result is non-negative. v1 can be positive or negative; v2 must be positive.

Definition at line 71 of file math_utils.h.

imodulo()

template<typename I >

I imodulo ( I  v1, I  v2  )

inline

Returns the remainder of the division v1/v2. The result is non-negative. v1 can be positive or negative; v2 must be positive.

Definition at line 84 of file math_utils.h.

sign()

template<typename T >

T sign ( const T &  signvalue )

inline

Returns -1 if signvalue is negative, else +1.

Definition at line 88 of file math_utils.h.

xpow()

template<typename T , typename I >

T xpow ( I  m, T  val  )

inline

Returns val*pow(-1,m)

Definition at line 92 of file math_utils.h.

isqrt()

template<typename I >

uint32 isqrt ( I  arg )

inline

Returns the integer n, which fulfills n*n<=arg<(n+1)*(n+1).

Definition at line 121 of file math_utils.h.

ilog2()

template<typename I >

int ilog2 ( I  arg )

inline

Returns the largest integer n that fulfills 2^n<=arg.

Definition at line 125 of file math_utils.h.

safe_atan2()

double safe_atan2 ( double  y, double  x  )

inline

Returns atan2(y,x) if x!=0 or y!=0; else returns 0.

Definition at line 179 of file math_utils.h.

interpol_helper() [1/2]

template<typename T , typename Iter , typename Comp >

void interpol_helper ( const Iter &  begin, const Iter &  end, const T &  val, Comp  comp, tsize &  idx, T &  frac  )

inline

Helper function for linear interpolation (or extrapolation). The array must be ordered in ascending order; no two values may be equal.

Definition at line 188 of file math_utils.h.

interpol_helper() [2/2]

template<typename T , typename Iter >

void interpol_helper ( const Iter &  begin, const Iter &  end, const T &  val, tsize &  idx, T &  frac  )

inline

Helper function for linear interpolation (or extrapolation). The array must be ordered in ascending order; no two values may be equal.

Definition at line 202 of file math_utils.h.