SPUC Namespace Reference

Classes
class	Array1D
	Templated one-dimensional, numerical array which looks like a conventional C array. More...
class	Array2D
	Templated two-dimensional, numerical array which looks like a conventional C multiarray. More...
class	Array3D
	Templated three-dimensional, numerical array which looks like a conventional C multiarray. More...
class	transpose_view
	Template class for Matrix Transpose Views. More...
class	lowerTriangularView
	lower Triangluar View for Matrices More...
class	unitlowerTriangularView
class	upperTriangularView
	upper Triangular Section More...
class	unitupperTriangularView
class	base_demod
	base class for a demodulator (not currently used?) More...
class	baud_eq_env
	Class for doing a simulation of an equalizer running at 1 sample/symbol. More...
class	BCH
	Class for binary, narrow-sense BCH codes. More...
class	bit_scrambler
	Does scrambling function on input bits. More...
class	bped
	Block Phase estimator. More...
class	bpsk_ber_test
	A Class for simulating a BPSK system. More...
class	carrier_nco
	A specialization example of a sin/cosine look-up NCO with fixed quantizations. More...
class	Convolutional_Interleaver
	Convolutional Interleaver Class. More...
class	Convolutional_Code
	Binary Convolutional rate 1/n class. More...
class	CRC_Code
	Cyclic Redundancy Check Codes. More...
class	data_conv_encoder
	Convolutional encoder for punctured encoding. More...
class	dqpsk
	Differential QPSK encoder/decoder. More...
class	dvb_conv_encoder
	DVB Convolution encode for rate 1/2. More...
class	Extended_Golay
	Extended Golay code (24,12,8). More...
class	fading_channel
	A Class for simulating a FIR channel model. More...
class	gf
	Galois Field. More...
class	gfx
	Polynomials over gf(q)[x], where q=2^m, m=1,...,14. More...
class	Hamming_Code
	Binary Hamming codes. More...
class	Block_Interleaver
	Block Interleaver Class. More...
class	Cross_Interleaver
	Cross Interleaver Class. More...
class	Sequence_Interleaver
	Sequence Interleaver Class. More...
class	Modulator_1d
	A general modulator class for 1-dimensional signal consellations. More...
class	Modulator_2d
	General modulator for 2-dimensional signal constellations. More...
class	MOD_BPSK
	BPSK Modulator Class. More...
class	MOD_PAM
	M-ary PAM modulator. More...
class	MOD_QPSK
	QPSK-modulator class. More...
class	MOD_PSK
	Mary-PSK modulator. More...
class	MOD_QAM
	Modulator class for square lattice Mary-QAM signals. More...
class	ofdm_data_encoder
	OFDM/802.11A/G Data Encoder. More...
class	Punctured_Convolutional_Code
	Binary Punctured Convolutional Code Class. More...
class	qam_conv_decoder
	QAM convolutional decoder. More...
class	qam_mod
	QAM Modulator for BPSK - 64 QAM for 802.11A Data modulation. More...
class	qam_tx
	Class for QAM transmitter using a root raised cosine transmit filter. More...
class	qpsk
	A QPSK receiver that can operate at exactly 2 samples/symbol. More...
class	qpsk_ber_test
	A Class for doing BER test on QPSK. More...
class	qpsk_discriminators
	A Class incorporating several symbol and carrier discriminators for QPSK. More...
class	quad_data
	Class for QPSK data using a root raised cosine transmit filter. More...
class	Rec_Syst_Conv_Code
	A Recursive Systematic Convolutional Encoder/Decoder class. More...
class	reed_solomon
	Reed-Solomon Codes. More...
class	LFSR
	Binary Linear Feedback Shift Register (LFSR). More...
class	Gold
	Gold Sequences. More...
class	sim_qam
	A Class for simulating a QAM system. More...
class	sim_qpsk
	A Class for simulating a QPSK system. More...
class	slicer_type
	Slicer to data decisions. More...
class	bpsk_slicer
	BPSK slicer. More...
class	qpsk_slicer
	QPSK slicer. More...
class	viterbi
	A Viterbi decoder (for DVB). More...
class	lms_dfe
	LMS Decision Feedback equalizer. More...
class	mle
	A Configurable Maximum Likelihood Sequence Estimator Class. More...
class	mlsd
	Maximum Likelihood Sequence Detection assuming binary alphabet [1,-1]. More...
class	rls
	Recursive Least Squares Algorithm. More...
class	equalizer
class	agc
	This is a simple sigma-delta type AGC for the variable rate QPSK example. More...
class	cmplx_allpass_halfband
	Complex version of allpass halfband. More...
class	qpsk_variable
	A QPSK receiver that can operate over a range of non-integer sampling rates. More...
class	resampler
	A resampling block using interpolator, halfband filter and NCO. More...
class	sim_qpsk_variable
	A Class for simulating a variable rate QPSK system. More...
class	timing_nco
	A NCO for symbol recovery in a variable rate QPSK receiver. More...
class	a_d
	An A/D conversion class. More...
class	allpass_1
	Template class for 1st order allpass filter with programmble gain and delay. More...
class	allpass_halfband
	Template Class for Allpass halfband IIR Filter. More...
class	allpass_iir
	Template Class for 1st Order Allpass IIR filter. More...
class	bin
	Binary arithmetic (boolean) class. More...
class	bit
	Binary arithmetic (boolean) class. More...
class	bool_nco
	NCO with single bit output. More...
class	butterworth
	Template Class for Butterworth iir filter. More...
class	rfir
	template class rfir FIR filter implementation with complex input and real coefficients More...
class	chebyshev
	Template Class for Chebyshev low pass iir filter. More...
class	cic
	class for CIC digital filter More...
class	circ_buffer
	Circular Buffer. More...
class	complex
	Spuc template complex class. Basically the same as STL complex class but allows easier customization. More...
class	complex_iu
	Base class for complex fixed width unsigned integers. Base class for complex fixed width unsigned integers Basically a combination of complex<long> with int_u. Needed because complex<T> template type would not also support unsigned int template type. More...
class	complex_u
	Template class for complex fixed width unsigned integers. More...
class	cordic
	Cordic rotator. More...
class	cfft
	General Purpose C++ complex FFT Transform. More...
class	delay
	Template class for Delay line. More...
class	elliptic
	Template Class for Elliptic low pass iir filter. More...
class	farrow
	Template Class for Farrow implementation of a ploynomial interpolation using a FIR filter. More...
class	fir
	Template Class for Modeling a Finite Impulse Response filter. More...
class	fir_adapt
	template class fir_adapt Based on FIR class, created to support LMS adaptive filtering More...
class	fir_decim
	template class fir_decim based on FIR class, created to support polyphase FIR decimation More...
class	fir_interp
	template class fir_decim based on FIR class, created to support polyphase FIR interpolation More...
class	fir_multi_interp
	template class fir_decim based on FIR class, created to support polyphase FIR interpolation More...
class	fir_sparse_coef
	template class fir_decim based on FIR class, created to support spare coefficients (zero padded) More...
class	iir_1st
	Template Class for 1st Order iir filter. More...
class	iir_2nd
	Template for 2nd Order IIR filter. More...
class	iir_2ndhpf
	Template Class for 2nd Order high-pass iir filter. More...
class	iir_comb
	Template for IIR comb type filter with programmable delay and gain. More...
class	iir_df
	Template Class for Modeling a Direct Form IIR. More...
class	iir_hp1
	Template for 1st Order IIR filter. More...
class	iir_hpc
	Template Class for 1st Order high pass iir filter. More...
class	iir_hpf
	Template Class for 1st Order high pass IIR filter from S-domain transformation. More...
class	iir_lpf
	Template Class for 1st Order low pass IIR filter from S-domain transformation. More...
class	iir_shelf
	Template Class for 1st Order iir filter. More...
class	lagrange
	Template Class for Lagrange interpolation using a FIR filter. More...
class	loop_filter
	Loop Filter for use in PLL circuits. More...
class	max_pn
	Maximal Length Pseudorandom sequence generator. More...
class	nco
	NCO with 32 bit accumulator. More...
class	noise
	Gaussian noise routine. More...
class	remez_fir
	template remez FIR class More...
class	running_average
	template class running average filter consisting of a delay line, adder and subtractor More...
class	running_sum
	template class running average filter consisting of a delay line, adder and subtractor More...
class	rv_stat
	a basic random Variable Statistics Class More...
class	sigma_delta
	Simple 1st order All-digital Sigma Delta converter. More...
class	sint
	Template class for signed integers (<33 bits). More...
class	sum_and_dump
	sum and dump filter More...
class	uint
	Template class for unsigned integers (<33 bits). More...
class	vco
	VCO similar to NCO but uses floating point. More...
class	Array
	General array class. More...
class	Mat
	Templated Matrix Class. More...
class	Vec
	Templated vectors. More...
class	allpass_1a
	Template class for 1st order allpass filter with programmble gain and fixed delay. More...
class	allpass_1aq1
	The filter is a "first-order" Allpass section of the form. More...
class	allpass_1aq2
	The filter is a "first-order" Allpass section of the form. More...
class	cmplx_csd_allpass_halfband
	Complex version of csd_allpass_halfband. More...
class	csd_allpass_halfband
	This filter is a combination of 2 fixed allpass filters allpass_1aq1 and allpass_1aq2. More...
class	double_allpass_iir
	Similar to a specific instantiation of allpass_iir. More...
class	fbool_nco
	Template class for a NCO based on template unsigned int class. More...
class	fnco
	Template class for a NCO based on template unsigned int class. More...
class	scic
	Registers are signed long and default number of stages is 2. More...
class	debugf
	Debug function. More...
class	debugfc
	Debug function. More...
class	Matlab_Engine
	Matlab engine interface. More...
Namespaces
namespace	SPUC
Typedefs
typedef long	natural
Functions
template<class SPDMatrix, class SymmMatrix>
int	Cholesky_upper_factorization (SPDMatrix &A, SymmMatrix &L)
template<class MaTRiX, class VecToRsubscript>
int	LU_factor (MaTRiX &A, VecToRsubscript &indx)
template<class MaTRiX, class VecToR, class VecToRsubscripts>
int	LU_solve (const MaTRiX &A, const VecToRsubscripts &indx, VecToR &b)
template<class MaTRiX, class Vector>
int	QR_factor (MaTRiX &A, Vector &C, Vector &D)
template<class MaTRiX, class Vector>
int	R_solve (const MaTRiX &A, Vector &D, Vector &b)
template<class MaTRiX, class Vector>
int	QR_solve (const MaTRiX &A, const Vector &c, Vector &d, Vector &b)
template<class Matrix>
transpose_view< Matrix >	transpose_view (const Matrix &A)
	Matrix Transpose Views.
template<class Matrix, class T>
Array1D< T >	matmult (const transpose_view< Matrix > &A, const Array1D< T > &B)
template<class Matrix, class T>
Array1D< T >	operator * (const transpose_view< Matrix > &A, const Array1D< T > &B)
template<class Matrix>
std::ostream &	operator<< (std::ostream &s, const transpose_view< Matrix > &A)
template<class MaTRiX, class VecToR>
VecToR	matmult (lowerTriangularView< MaTRiX > &A, VecToR &x)
	lower_triangular_view() algorithms
template<class MaTRiX, class VecToR>
VecToR	operator * (lowerTriangularView< MaTRiX > &A, VecToR &x)
template<class MaTRiX>
lowerTriangularView< MaTRiX >	lower_triangular_view (MaTRiX &A)
template<class MaTRiX>
unitlowerTriangularView< MaTRiX >	unit_lower_triangular_view (MaTRiX &A)
template<class MaTRiX, class VecToR>
VecToR	matmult (unitlowerTriangularView< MaTRiX > &A, VecToR &x)
template<class MaTRiX, class VecToR>
VecToR	operator * (unitlowerTriangularView< MaTRiX > &A, VecToR &x)
template<class MaTRiX>
std::ostream &	operator<< (std::ostream &s, const lowerTriangularView< MaTRiX > &A)
template<class MaTRiX>
std::ostream &	operator<< (std::ostream &s, const unitlowerTriangularView< MaTRiX > &A)
template<class MaTRiX, class VecToR>
VecToR	matmult (upperTriangularView< MaTRiX > &A, VecToR &x)
	upper_triangular_view() algorithms
template<class MaTRiX, class VecToR>
VecToR	operator * (upperTriangularView< MaTRiX > &A, VecToR &x)
template<class MaTRiX>
upperTriangularView< MaTRiX >	upper_triangular_view (MaTRiX &A)
template<class MaTRiX>
unitupperTriangularView< MaTRiX >	unit_upper_triangular_view (MaTRiX &A)
template<class MaTRiX, class VecToR>
VecToR	matmult (unitupperTriangularView< MaTRiX > &A, VecToR &x)
template<class MaTRiX, class VecToR>
VecToR	operator * (unitupperTriangularView< MaTRiX > &A, VecToR &x)
template<class MaTRiX>
std::ostream &	operator<< (std::ostream &s, upperTriangularView< MaTRiX > &A)
template<class MaTRiX>
std::ostream &	operator<< (std::ostream &s, unitupperTriangularView< MaTRiX > &A)
template<class MaTriX, class VecToR>
VecToR	lower_triangular_solve (MaTriX &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	unit_lower_triangular_solve (MaTriX &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	linear_solve (lowerTriangularView< MaTriX > &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	linear_solve (unitlowerTriangularView< MaTriX > &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	upper_triangular_solve (MaTriX &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	unit_upper_triangular_solve (MaTriX &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	linear_solve (upperTriangularView< MaTriX > &A, VecToR &b)
template<class MaTriX, class VecToR>
VecToR	linear_solve (unitupperTriangularView< MaTriX > &A, VecToR &b)
template<class T>
T	bpsk_dd_phase (complex< T > curr, complex< T > hard_data)
	Decision directed carrier phase discriminator for BPSK.
template<class T>
T	bpsk_quadricorrelator (complex< T > hard_data, complex< T > prev)
	BPSK Quadricorrelator frequency discriminator.
bmat	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	hamming_distance (const bvec &a, const bvec &b)
	Calculate the Hamming distance between a and b.
int	weight (const bvec &a)
	Calculate the Hamming weight of a.
int	reverse_int (int length, int in)
int	weight_int (int length, int in)
int	compare_spectra (llvec v1, llvec v2)
int	compare_spectra (ivec v1, ivec v2, vec weight_profile)
template<class T>
T	cp_afc (complex< T > prev, complex< T > curr)
	Cross-Product frequency discriminator.
template<class T>
T	dd_symbol (complex< T > prev, complex< T > curr, complex< T > prev_hard_data, complex< T > hard_data)
	Decision directed timing discriminator (QPSK).
gfx	operator * (const gf &ingf, const gfx &ingfx)
gfx	operator * (const gfx &ingfx, const gf &ingf)
gfx	operator/ (const gfx &ingfx, const gf &ingf)
gfx	divgfx (const gfx &c, const gfx &g)
	Division of two gfx (local help function).
gfx	modgfx (const gfx &a, const gfx &b)
	Modulo function of two gfx (local help function).
ostream &	operator<< (ostream &os, const gf &ingf)
	Output stream for gf(q).
ostream &	operator<< (ostream &os, const gfx &ingfx)
	Output stream.
template<class T>
T	nda_symbol (complex< T > prev, complex< T > curr)
	Non-decision aided timing discriminator (Gardiner's algorithm).
void	qam_data_demap (long rate_index, complex< long > data_in, long soft_decision_level, long *viterbi_input)
	Soft-decision QAM Demapper for use with QAM_MOD class.
void	bpsk_soft_decision (complex< long > data_in, long *viterbi_input)
	BPSK data demapping.
void	qpsk_soft_decision (complex< long > data_in, long *viterbi_input)
	QPSK data demapping.
void	qam16_soft_decision (complex< long > data_in, long soft_decision_level, long *viterbi_input)
	16-QAM data demapping
void	qam64_soft_decision (complex< long > data_in, long soft_decision_level, long *viterbi_input)
	64-QAM data demapping
template<class T>
T	qpsk_dd_phase (complex< T > curr, complex< T > hard_data)
	Decision directed carrier phase discriminator for QPSK.
template<class T>
T	qpsk_quadricorrelator (complex< T > hard_data, complex< T > prev)
	QPSK Quadricorrelator frequency discriminator.
template<class T>
T	qpsk_rcfd (complex< T > fmf, complex< T > curr)
	QPSK Reduced complexity frequency discriminator.
void	root_raised_cosine (fir< long > &rcfir, double alpha, int rate)
void	root_raised_cosine (fir< complex< long > > &rcfir, double alpha, int rate, int bits=10)
void	root_raised_cosine (fir< complex< long > > &rcfir, double alpha, int rate, int bits=10, double scale=1.0)
void	root_raised_cosine (fir< complex< double > > &rcfir, double alpha, int rate)
void	root_raised_cosine (fir_interp< complex< double > > &rcfir, double alpha, int rate)
void	root_raised_cosine (fir< double > &rcfir, double alpha, int rate)
void	raised_cosine (fir< long > &rcfir, double alpha, int rate)
void	raised_cosine (fir< double > &rcfir, double alpha, int rate)
double	raised_cosine_imp (double alpha, double xin, double rate, long num_taps)
double	root_raised_cosine_imp (double alpha, double xin, double rate, long num_taps)
void	root_raised_cosine (fir< complex< double > > &rcfir, double alpha, int rate, double offset)
double	com_logmap (double x, double y)
	Branc metric calculation function for MAP decoding in the log-domain.
double	com_logmax (double x, double y)
	Branc metric calculation function for MAP decoding in the log-domain using a MAX approximation (default).
smat	wcdma_spreading_codes (int SF)
	Generates the OVSF (orthogonal variable spreading factor) spreading codes used in WCDMA.
void	gaussian_fir (fir< double > &gaussf, double bt, double spb)
	calculates the sampled Gaussian filter impulse response
void	butterworth_fir (fir< double > &butfir, double spb)
	calculates the sampled butterworth (max flat) filter impulse response
void	create_remez_lpfir (fir< double > &remezfir, double *edge, double *fx, double *wtx)
	calculates the coefficients for lowpass FIR based on Remez constraints
void	ifft (complex< double > *y, int m)
bool	reduce (long x, long n)
double	erfc1 (double x)
double	erf1 (double x)
long	round (long in, long bits)
long	saturate (long in, long bits)
void	swap (int *a, int *b)
void	quicksort (int *v, unsigned n)
double	Qfunc (double x)
	Q-function.
double	erfinv (double x)
	Inverse of error function.
double	gamma (double x)
	Gamma function.
double	asinh (double x)
	Arcus sinhyp.
double	acosh (double x)
	Arcus coshyp.
double	atanh (double x)
	Arcus tanhyp.
double	fact (int index)
	Calculates factorial coefficient for index <= 170.
long	mod (long k, long n)
	Calculates the modulus, i.e. the signed reminder after division.
long	gcd (long a, long b)
	returns the greatest common divisor (GCD) g of the elements a and b.
double	integrate (double(*f)(double), double A, double B, double tol=0.001)
	Integrate over the function f from A to B with tolerance tol.
double	binom (int n, int k)
	Compute the binomial coefficient "n over k" as a float.
int	binom_i (int n, int k)
	Compute the binomial coefficient "n over k" as an integer.
double	log_binom (int n, int k)
	Compute the base 10 logarithm of the binomial coefficient "n over k".
double	log2 (double x)
double	logb (double b, double x)
double	sinc (double x)
	Sinc function. sinc(x) = sin(pi*x)/pi*x.
int	round_i (double x)
	Round to nearest integer.
int	ceil_i (double x)
	The nearest larger integer.
int	floor_i (double x)
	The nearest smaller integer.
double	round (double x)
	Round to nearest integer, return result in double.
bool	is_int (double x)
	Return true if x is an integer.
bool	is_even (int x)
	Return true if x is an even integer.
int	needed_bits (int n)
	Calculate how many bits are needed to represent the integer n.
int	needed_bits (double n)
	The number of bits needed to encode {n} symbols. (Yes, it is exact!).
int	pow2 (int x)
	Calculate two to the power of x (2^x).
double	pow2 (double x)
	Calculate two to the power of x (2^x).
double	pow10 (double x)
	Calculate ten to the power of x (10^x).
double	dB (double x)
	Decibel of x (10*log10(x)).
double	inv_dB (double x)
	Inverse of decibel.
int	gray_code (int x)
	Convert to Gray Code.
double	rad_to_deg (double x)
	Convert radians to degrees.
double	deg_to_rad (double x)
	Convert degrees to radians.
double	sqr (double x)
	Square of x.
double	rem (double x, double y)
	The reminder of the division x/y.
double	sign (double x)
	The sign of x.
double	sgn (double x)
	The sign of x.
signed char	abs (signed char x)
	Absolute value.
short	abs (short x)
	Absolute value.
double	sqrt (double x)
double	cos (double x)
complex< double >	sqrt (complex< double > x)
complex< double >	sqrt (complex< long > x)
double	coshin (double x)
double	arccos (double x)
double	cosh (double x)
double	sinh (double x)
complex< double >	cos (complex< double > x)
double	io (double x)
	bessel function for kaiser window
void	hamming (double *w, long nf, double alpha, double beta)
	hamming window
void	hanning (double *w, long nf)
	hanning window
void	blackman (double *w, long nf)
	Blackman Window .
void	kaiser (double *w, long nf, double beta)
	kaiser window
void	chebc (double nf, double dp, double df, double n, double x0)
	chebyshev window subroutine to generate chebyshev window parameters when one of the three parameters nf,dp and df is unspecified
void	cheby (double *w, long nf, long n, long ieo, double dp, double df, double x0)
	dolph chebyshev window design
template<class T>
Vector< T >	auto_corr (Vector< T > x)
ostream &	operator<< (ostream &output, const bin &inbin)
istream &	operator>> (istream &input, bin &outbin)
template<class T>
Vector< T >	burg (Vector< T > &x, int P)
	AR model coefficients calculation using Burg algorithm.
complex_iu	operator% (complex_iu r, natural l)
complex_iu	operator+ (complex_iu r, complex_iu l)
complex_iu	operator+ (complex_iu r, natural l)
complex_iu	operator+ (cnatural r, complex_iu l)
complex_iu	operator- (complex_iu r, complex_iu l)
complex_iu	operator- (complex_iu r, cnatural l)
complex_iu	operator- (cnatural r, complex_iu l)
complex_iu	operator & (complex_iu r, natural l)
complex_iu	operator & (natural r, complex_iu l)
complex_iu	operator^ (complex_iu r, natural l)
complex_iu	operator^ (natural r, complex_iu l)
complex_iu	operator| (complex_iu r, natural l)
complex_iu	operator| (natural r, complex_iu l)
complex_iu	operator * (complex_iu r, complex_iu l)
complex_iu	operator * (complex_iu r, cnatural l)
complex_iu	operator * (complex_iu r, natural l)
complex_iu	operator * (natural r, complex_iu l)
complex_iu	operator * (cnatural r, complex_iu l)
complex_iu	operator/ (complex_iu r, complex_iu l)
complex_iu	operator/ (cnatural r, complex_iu l)
complex_iu	operator/ (complex_iu r, cnatural l)
complex_iu	operator/ (complex_iu r, natural l)
complex_iu	operator<< (complex_iu r, const natural shift)
complex_iu	operator>> (complex_iu r, const natural shift)
void	create_remez_fir (fir< double > &remezfir, int jtype, int nbands, double *edge, double *fx, double *wtx)
template<class T>
Vector< T >	Vector_taps (fir< T > f)
template<class T>
Vector< T >	Vector_input (fir< T > f)
template<class T>
T	levdur (T *R)
int	dummy_cl (complex< long > z)
	Dummy functions for library instantations.
int	dummy_vf (void)
void	ls_fir (fir< double > fil, double fc, double spb)
	calculates the least square filter impulse response
bin	randb (void)
double	randu (void)
int	randi (int low, int high)
double	randn (void)
double_complex	randn_c (void)
void	RNG_reset (unsigned long seed)
void	RNG_reset ()
void	RNG_randomize ()
template<double Des_function, double Weight_function>
double *	remez_function (int numtaps, int numband, int r, double bands[], int type)
bool	chol (const mat &X, mat &F)
	Cholesky factorisation of real symmetric and positive definite matrix.
bool	chol (const cmat &X, cmat &F)
cmat	chol (const cmat &X)
mat	chol (const mat &X)
	Cholesky factorisation of real symmetric and positive definite matrix.
bool	chol (const mat &X, int p, mat &F)
	Cholesky factorisation of an n by n band-matrix X. Bandwidth p.
mat	chol (const mat &X, int p)
	Cholesky factorisation of a band matrix.
ivec	to_ivec (int s)
	Specialized implementation of to_ivec for scalar.
llvec	to_llvec (long_long s)
	Specialized implementation of to_llvec for scalar.
vec	to_vec (double s)
	Specialized implementation of to_vec for scalar.
cvec	to_cvec (double real, double imag)
	Specialized implementation of to_cvec for scalar.
bvec	dec2bin (int length, int index)
bvec	dec2bin (int index, bool msb_first)
void	dec2bin (int index, bvec &v)
int	bin2dec (const bvec &inbvec, bool msb_first)
bvec	oct2bin (const ivec &octalindex, short keepzeros)
ivec	bin2oct (const bvec &inbits)
ivec	bin2pol (const bvec &inbvec)
bvec	pol2bin (const ivec &inpol)
double	det (const mat &X)
	Determinant of real square matrix. Calculate determinant of the real matrix .
void	sub_v_vT_m (mat &m, const vec &v)
void	sub_m_v_vT (mat &m, const vec &v)
bool	inv (const mat &X, mat &Y)
mat	inv (const mat &X)
bool	inv (const cmat &X, cmat &Y)
cmat	inv (const cmat &X)
vec	ls_solve (const mat &A, const vec &b)
	Solve linear equation system by LU factorisation.
mat	ls_solve (const mat &A, const mat &b)
	Solve multiple linear equations by LU factorisation.
vec	ls_solve_chol (const mat &A, const vec &b)
	Solve linear equation system by Cholesky factorisation.
vec	ls_solve (const mat &L, const mat &U, const vec &b)
	Solve linear equation system, when LU-factorisation is given.
vec	ls_solve_chol (const mat &A, int p, const vec &b)
	Solve linear (band) equation system by Cholesky factorisation.
vec	ls_solve (const mat &L, int p, const mat &U, int q, const vec &b)
	Solve linear (band) equation system, when LU-factorisation is given.
vec	ls_solve_od (const mat &A, const vec &b)
	Solves overdetermined linear equation systems.
mat	ls_solve_od (const mat &A, const mat &B)
	Solves overdetermined linear equation systems.
vec	backslash (const mat &A, const vec &b)
	A general linear equation system solver.
mat	backslash (const mat &A, const mat &B)
	A general linear equation system solver.
vec	forward_substitution (const mat &L, const vec &b)
	Forward substitution of square matrix.