Miscellaneous functions

Classes
class	SPUC::circ_buffer< T >
	Circular Buffer. More...
class	SPUC::cordic
	Cordic rotator. More...
class	SPUC::cfft< CPLX >
	General Purpose C++ complex FFT Transform. More...
class	SPUC::delay< Numeric >
	Template class for Delay line. More...
class	SPUC::max_pn
	Maximal Length Pseudorandom sequence generator. More...
class	SPUC::noise
	Gaussian noise routine. More...
class	SPUC::sigma_delta
	Simple 1st order All-digital Sigma Delta converter. More...
Functions
bmat	SPUC::graycode (int m)
	Generate gray code of blocklength m. The codes are contained as binary codewords {0,1} in the rows of the returned matrix. See also the gray() function in math/scalfunc.h.
int	SPUC::hamming_distance (const bvec &a, const bvec &b)
	Calculate the Hamming distance between a and b.
int	SPUC::weight (const bvec &a)
	Calculate the Hamming weight of a.
smat	SPUC::wcdma_spreading_codes (int SF)
	Generates the OVSF (orthogonal variable spreading factor) spreading codes used in WCDMA.
double	SPUC::gamma (double x)
	Gamma function.
double	SPUC::sinc (double x)
	Sinc function. sinc(x) = sin(pi*x)/pi*x.
int	SPUC::round_i (double x)
	Round to nearest integer.
int	SPUC::ceil_i (double x)
	The nearest larger integer.
int	SPUC::floor_i (double x)
	The nearest smaller integer.
double	SPUC::round (double x)
	Round to nearest integer, return result in double.
bool	SPUC::is_int (double x)
	Return true if x is an integer.
bool	SPUC::is_even (int x)
	Return true if x is an even integer.
int	SPUC::gray_code (int x)
	Convert to Gray Code.
double	SPUC::binom (int n, int k)
	Compute the binomial coefficient "n over k" as a float.
int	SPUC::binom_i (int n, int k)
	Compute the binomial coefficient "n over k" as an integer.
double	SPUC::log_binom (int n, int k)
	Compute the base 10 logarithm of the binomial coefficient "n over k".
double	SPUC::rad_to_deg (double x)
	Convert radians to degrees.
double	SPUC::deg_to_rad (double x)
	Convert degrees to radians.
double	SPUC::asinh (double x)
	Arcus sinhyp.
double	SPUC::acosh (double x)
	Arcus coshyp.
double	SPUC::atanh (double x)
	Arcus tanhyp.
double	SPUC::sqr (double x)
	Square of x.
double	SPUC::rem (double x, double y)
	The reminder of the division x/y.
double	SPUC::sign (double x)
	The sign of x.
double	SPUC::sgn (double x)
	The sign of x.
signed char	SPUC::abs (signed char x)
	Absolute value.
short	SPUC::abs (short x)
	Absolute value.
double	SPUC::fact (int index)
	Calculates factorial coefficient for index <= 170.
long	SPUC::mod (long k, long n)
	Calculates the modulus, i.e. the signed reminder after division.
long	SPUC::gcd (long a, long b)
	returns the greatest common divisor (GCD) g of the elements a and b.
double	SPUC::integrate (double(*f)(double), double A, double B, double tol=0.001)
	Integrate over the function f from A to B with tolerance tol.
template<class T>
Vector< T >	SPUC::auto_corr (Vector< T > x)
template<class T>
Vector< T >	SPUC::burg (Vector< T > &x, int P)
	AR model coefficients calculation using Burg algorithm.
template<class T>
T	SPUC::levdur (T *R)
ivec	SPUC::find (const bvec &invector)
	Return a integer vector with indicies where bvec == 1.
mat	SPUC::rotation_matrix (int dim, int plane1, int plane2, double angle)
	Create a rotation matrix that rotates the given plane angle radians. Note that the order of the planes are important!
void	SPUC::house (const vec &x, vec &v, double &beta)
	Calcualte the Householder vector.
void	SPUC::givens (double a, double b, double &c, double &s)
	Calculate the Givens rotation values.
void	SPUC::givens (double a, double b, mat &m)
	Calculate the Givens rotation matrix.
mat	SPUC::givens (double a, double b)
	Calculate the Givens rotation matrix.
void	SPUC::givens_t (double a, double b, mat &m)
	Calculate the transposed Givens rotation matrix.
mat	SPUC::givens_t (double a, double b)
	Calculate the transposed Givens rotation matrix.

---

Function Documentation

short SPUC::abs (  short  x  )  [inline]

Absolute value.

signed char SPUC::abs (  signed char  x  )  [inline]

Absolute value.

double SPUC::acosh (  double  x  )

Arcus coshyp.

double SPUC::asinh (  double  x  )

Arcus sinhyp.

double SPUC::atanh (  double  x  )

Arcus tanhyp.

template<class T> Vector<T> SPUC::auto_corr (  Vector< T >  x  )

Author: Tony Kirke, Copyright(c) 2001

double SPUC::binom (  int  n, int  k )

Compute the binomial coefficient "n over k" as a float.

int SPUC::binom_i (  int  n, int  k )

Compute the binomial coefficient "n over k" as an integer.

template<class T> Vector<T> SPUC::burg (  Vector< T > &  x, int  P )

AR model coefficients calculation using Burg algorithm. Author: Tony Kirke, Copyright(c) 2001 Here is the call graph for this function:

int SPUC::ceil_i (  double  x  )  [inline]

The nearest larger integer.

double SPUC::deg_to_rad (  double  x  )  [inline]

Convert degrees to radians.

double SPUC::fact (  int  index  )

Calculates factorial coefficient for index <= 170.

ivec SPUC::find (  const bvec &  invector  )

Return a integer vector with indicies where bvec == 1.

int SPUC::floor_i (  double  x  )  [inline]

The nearest smaller integer.

double SPUC::gamma (  double  x  )

Gamma function.

long SPUC::gcd (  long  a, long  b )

returns the greatest common divisor (GCD) g of the elements a and b. a and b must be non-negative integers. gdc(0,0) is 0 by convention; all other GCDs are positive integers.

mat SPUC::givens (  double  a, double  b )

Calculate the Givens rotation matrix.

void SPUC::givens (  double  a, double  b, mat &  m )

Calculate the Givens rotation matrix.

void SPUC::givens (  double  a, double  b, double &  c, double &  s )

Calculate the Givens rotation values.

mat SPUC::givens_t (  double  a, double  b )

Calculate the transposed Givens rotation matrix.

void SPUC::givens_t (  double  a, double  b, mat &  m )

Calculate the transposed Givens rotation matrix.

int SPUC::gray_code (  int  x  )  [inline]

Convert to Gray Code.

bmat SPUC::graycode (  int  m  )

Generate gray code of blocklength m. The codes are contained as binary codewords {0,1} in the rows of the returned matrix. See also the gray() function in math/scalfunc.h.

int SPUC::hamming_distance (  const bvec &  a, const bvec &  b )

Calculate the Hamming distance between a and b.

void SPUC::house (  const vec &  x, vec &  v, double &  beta )

Calcualte the Householder vector.

double SPUC::integrate (  double(*)(double)  f, double  A, double  B, double  tol )

Integrate over the function f from A to B with tolerance tol.

bool SPUC::is_even (  int  x  )  [inline]

Return true if x is an even integer.

bool SPUC::is_int (  double  x  )  [inline]

Return true if x is an integer.

template<class T> T SPUC::levdur (  T *  R  )

Author: Tony Kirke, Copyright(c) 2001

double SPUC::log_binom (  int  n, int  k )

Compute the base 10 logarithm of the binomial coefficient "n over k".

long SPUC::mod (  long  k, long  n )

Calculates the modulus, i.e. the signed reminder after division.

double SPUC::rad_to_deg (  double  x  )  [inline]

Convert radians to degrees.

double SPUC::rem (  double  x, double  y )  [inline]

The reminder of the division x/y.

mat SPUC::rotation_matrix (  int  dim, int  plane1, int  plane2, double  angle )

Create a rotation matrix that rotates the given plane angle radians. Note that the order of the planes are important!

double SPUC::round (  double  x  )  [inline]

Round to nearest integer, return result in double.

int SPUC::round_i (  double  x  )  [inline]

Round to nearest integer.

double SPUC::sgn (  double  x  )  [inline]

The sign of x.

double SPUC::sign (  double  x  )  [inline]

The sign of x.

double SPUC::sinc (  double  x  )  [inline]

Sinc function. sinc(x) = sin(pi*x)/pi*x.

double SPUC::sqr (  double  x  )  [inline]

Square of x.

smat SPUC::wcdma_spreading_codes (  int  SF  )

Generates the OVSF (orthogonal variable spreading factor) spreading codes used in WCDMA. The codes are written row-wise in the return matrix.

int SPUC::weight (  const bvec &  a  )

Calculate the Hamming weight of a.

---