Namespaces
	device

	emi

	eqn

	fourier

	transient

Data Structures
class	acsolver

class	ptrlist

class	analysis
	class for performing circuit analyses. More...

Functions
static void	euclidian_update (nr_double_t a, nr_double_t &n, nr_double_t &scale)

template<typename nr_type_t >
nr_type_t	cond_conj (nr_type_t t)

template<>
double	cond_conj (double t)

static nr_double_t	givens (nr_double_t a, nr_double_t b, nr_double_t &c, nr_double_t &s)
	Helper function computes Givens rotation. More...

static char *	Cplx2String (nr_complex_t c)

nr_complex_t	cos (const nr_complex_t z)
	Compute complex cosine. More...

nr_complex_t	sin (const nr_complex_t z)
	Compute complex sine. More...

nr_complex_t	tan (const nr_complex_t z)
	Compute complex tangent. More...

nr_complex_t	acos (const nr_complex_t z)
	Compute complex arc cosine. More...

nr_complex_t	asin (const nr_complex_t z)
	Compute complex arc sine. More...

nr_complex_t	atan (const nr_complex_t z)
	Compute complex arc tangent. More...

nr_complex_t	cosh (const nr_complex_t z)
	Compute complex hyperbolic cosine. More...

nr_complex_t	sinh (const nr_complex_t z)
	Compute complex hyperbolic sine. More...

nr_complex_t	tanh (const nr_complex_t z)
	Compute complex hyperbolic tangent. More...

nr_complex_t	acosh (const nr_complex_t z)
	Compute complex arc hyperbolic cosine. More...

nr_complex_t	asinh (const nr_complex_t z)
	Compute complex arc hyperbolic sine. More...

nr_complex_t	atanh (const nr_complex_t z)
	Compute complex arc hyperbolic tangent. More...

nr_complex_t	exp (const nr_complex_t z)
	Compute complex exponential. More...

nr_complex_t	log (const nr_complex_t z)
	Compute principal value of natural logarithm of z. More...

nr_complex_t	log10 (const nr_complex_t z)
	Compute principal value of decimal logarithm of z. More...

nr_complex_t	pow (const nr_complex_t z, const nr_double_t d)
	Compute power function with real exponent. More...

nr_complex_t	pow (const nr_double_t d, const nr_complex_t z)
	Compute power function with complex exponent but real mantisse. More...

nr_complex_t	pow (const nr_complex_t z1, const nr_complex_t z2)
	Compute complex power function. More...

nr_complex_t	sqrt (const nr_complex_t z)
	Compute principal value of square root. More...

nr_double_t	norm (const nr_complex_t z)
	Compute euclidian norm of complex number. More...

nr_complex_t	cot (const nr_complex_t z)
	Compute complex cotangent. More...

nr_complex_t	acot (const nr_complex_t z)
	Compute complex arc cotangent. More...

nr_complex_t	coth (const nr_complex_t z)
	Compute complex hyperbolic cotangent. More...

nr_complex_t	acoth (const nr_complex_t z)
	Compute complex argument hyperbolic cotangent. More...

nr_complex_t	sech (const nr_complex_t z)
	Compute complex hyperbolic secant. More...

nr_complex_t	asech (const nr_complex_t z)
	Compute complex argument hyperbolic secant. More...

nr_complex_t	cosech (const nr_complex_t z)
	Compute complex argument hyperbolic cosec. More...

nr_complex_t	atan2 (const nr_complex_t y, const nr_complex_t x)
	Compute complex arc tangent fortran like function. More...

nr_complex_t	log2 (const nr_complex_t z)
	Compute principal value of binary logarithm of z. More...

nr_complex_t	signum (const nr_complex_t z)
	complex signum function More...

nr_complex_t	sign (const nr_complex_t z)
	complex sign function More...

nr_complex_t	sinc (const nr_complex_t z)
	Cardinal sine. More...

nr_double_t	xhypot (const nr_complex_t a, const nr_complex_t b)
	Euclidean distance function for complex argument. More...

nr_double_t	xhypot (nr_double_t a, nr_complex_t b)
	Euclidean distance function for a double b complex. More...

nr_double_t	xhypot (nr_complex_t a, nr_double_t b)
	Euclidean distance function for b double a complex. More...

nr_complex_t	round (const nr_complex_t z)
	Complex round Round is the nearest integral value Apply round to real and imaginary part. More...

nr_complex_t	trunc (const nr_complex_t z)
	Complex trunc Apply round to integer, towards zero to real and imaginary part. More...

nr_double_t	dB (const nr_complex_t z)
	Magnitude in dB Compute $10\log_{10} \|z\|^2=20\log_{10} \|z\|$ . More...

nr_complex_t	limexp (const nr_complex_t z)
	Compute limited complex exponential. More...

nr_complex_t	polar (const nr_double_t mag, const nr_double_t ang)
	Construct a complex number using polar notation. More...

nr_complex_t	polar (const nr_complex_t a, const nr_complex_t p)
	Extension of polar construction to complex. More...

nr_complex_t	ztor (const nr_complex_t z, nr_complex_t zref)
	Converts impedance to reflexion coefficient. More...

nr_complex_t	rtoz (const nr_complex_t r, nr_complex_t zref)
	Converts reflexion coefficient to impedance. More...

nr_complex_t	ytor (const nr_complex_t y, nr_complex_t zref)
	Converts admittance to reflexion coefficient. More...

nr_complex_t	rtoy (const nr_complex_t r, nr_complex_t zref)
	Converts reflexion coefficient to admittance. More...

nr_complex_t	floor (const nr_complex_t z)
	Complex floor. More...

nr_complex_t	ceil (const nr_complex_t z)
	Complex ceil Ceil is the smallest integral value not less than argument Apply ceil to real and imaginary part. More...

nr_complex_t	fix (const nr_complex_t z)
	Complex fix. More...

nr_complex_t	fmod (const nr_complex_t x, const nr_complex_t y)
	Complex fmod Apply fmod to the complex z. More...

nr_complex_t	sqr (const nr_complex_t z)
	Square of complex number. More...

nr_complex_t	step (const nr_complex_t z)
	Heaviside step function for complex number. More...

nr_complex_t	cbesselj (unsigned int n, nr_complex_t z)
	Main entry point for besselj function. More...

static nr_complex_t	cbesselj_smallarg (unsigned int n, nr_complex_t z)

static nr_complex_t	cbesselj_mediumarg_odd (unsigned int n, nr_complex_t z)

static nr_complex_t	cbesselj_mediumarg_even (unsigned int n, nr_complex_t z)

static nr_complex_t	cbesselj_mediumarg (unsigned int n, nr_complex_t z)

static nr_complex_t	cbesselj_largearg (unsigned int n, nr_complex_t z)
	besselj for large argument More...

nr_complex_t	jn (const int n, const nr_complex_t z)
	Bessel function of first kind. More...

nr_complex_t	yn (const int n, const nr_complex_t z)
	Bessel function of second kind. More...

nr_complex_t	i0 (const nr_complex_t z)
	Modified Bessel function of first kind. More...

nr_complex_t	erf (const nr_complex_t z)
	Error function. More...

nr_complex_t	erfc (const nr_complex_t z)
	Complementart error function. More...

nr_complex_t	erfinv (const nr_complex_t z)
	Inverse of error function. More...

nr_complex_t	erfcinv (const nr_complex_t z)
	Inverse of complementart error function. More...

nr_complex_t	operator% (const nr_complex_t z1, const nr_complex_t z2)
	Modulo. More...

nr_complex_t	operator% (const nr_complex_t z1, const nr_double_t r2)
	Modulo. More...

nr_complex_t	operator% (const nr_double_t r1, const nr_complex_t z2)
	Modulo. More...

bool	operator== (const nr_complex_t z1, const nr_complex_t z2)
	Equality of two complex. More...

bool	operator!= (const nr_complex_t z1, const nr_complex_t z2)
	Inequality of two complex. More...

bool	operator>= (const nr_complex_t z1, const nr_complex_t z2)
	Superior of equal. More...

bool	operator<= (const nr_complex_t z1, const nr_complex_t z2)
	Inferior of equal. More...

bool	operator> (const nr_complex_t z1, const nr_complex_t z2)
	Superior. More...

bool	operator< (const nr_complex_t z1, const nr_complex_t z2)
	Inferior. More...

matrix	operator+ (matrix a, matrix b)
	Matrix addition. More...

matrix	operator- (matrix a, matrix b)
	Matrix subtraction. More...

matrix	operator* (matrix a, nr_complex_t z)
	Matrix scaling complex version. More...

matrix	operator* (nr_complex_t z, matrix a)
	Matrix scaling complex version (different order) More...

matrix	operator* (matrix a, nr_double_t d)
	Matrix scaling complex version. More...

matrix	operator* (nr_double_t d, matrix a)
	Matrix scaling real version (different order) More...

matrix	operator/ (matrix a, nr_complex_t z)
	Matrix scaling division by complex version. More...

matrix	operator/ (matrix a, nr_double_t d)
	Matrix scaling division by real version. More...

matrix	operator* (matrix a, matrix b)

matrix	operator+ (matrix a, nr_complex_t z)
	Complex scalar addition. More...

matrix	operator+ (nr_complex_t z, matrix a)
	Complex scalar addition different order. More...

matrix	operator+ (matrix a, nr_double_t d)
	Real scalar addition. More...

matrix	operator+ (nr_double_t d, matrix a)
	Real scalar addition different order. More...

matrix	operator- (matrix a, nr_complex_t z)
	Complex scalar substraction. More...

matrix	operator- (nr_complex_t z, matrix a)
	Complex scalar substraction different order. More...

matrix	operator- (matrix a, nr_double_t d)
	Real scalar substraction. More...

matrix	operator- (nr_double_t d, matrix a)
	Real scalar substraction different order. More...

matrix	transpose (matrix a)
	Matrix transposition. More...

matrix	conj (matrix a)
	Conjugate complex matrix. More...

matrix	adjoint (matrix a)
	adjoint matrix More...

matrix	abs (matrix a)
	Computes magnitude of each matrix element. More...

matrix	dB (matrix a)
	Computes magnitude in dB of each matrix element. More...

matrix	arg (matrix a)
	Computes the argument of each matrix element. More...

matrix	real (matrix a)
	Real part matrix. More...

matrix	imag (matrix a)
	Imaginary part matrix. More...

matrix	sqr (matrix a)
	Multiply a matrix by itself. More...

matrix	eye (int rs, int cs)
	Create identity matrix with specified number of rows and columns. More...

matrix	eye (int s)
	Create a square identity matrix. More...

matrix	diagonal (qucs::vector diag)
	Create a diagonal matrix from a vector. More...

matrix	pow (matrix a, int n)

nr_complex_t	cofactor (matrix a, int u, int v)
	Computes the complex cofactor of the given determinant. More...

nr_complex_t	detLaplace (matrix a)
	Compute determinant of the given matrix using Laplace expansion. More...

nr_complex_t	detGauss (matrix a)
	Compute determinant Gaussian algorithm. More...

nr_complex_t	det (matrix a)
	Compute determinant of the given matrix. More...

matrix	inverseLaplace (matrix a)
	Compute inverse matrix using Laplace expansion. More...

matrix	inverseGaussJordan (matrix a)
	Compute inverse matrix using Gauss-Jordan elimination. More...

matrix	inverse (matrix a)
	Compute inverse matrix. More...

matrix	stos (matrix s, qucs::vector zref, qucs::vector z0)
	S params to S params. More...

matrix	stos (matrix s, nr_complex_t zref, nr_complex_t z0)
	S renormalization with all part identic. More...

matrix	stos (matrix s, nr_double_t zref, nr_double_t z0)
	S renormalization with all part identic and real. More...

matrix	stos (matrix s, qucs::vector zref, nr_complex_t z0)
	S renormalization (variation) More...

matrix	stos (matrix s, nr_complex_t zref, qucs::vector z0)
	S renormalization (variation) More...

matrix	stoz (matrix s, qucs::vector z0)
	Scattering parameters to impedance matrix. More...

matrix	stoz (matrix s, nr_complex_t z0)
	Scattering parameters to impedance matrix identic case. More...

matrix	ztos (matrix z, qucs::vector z0)
	Convert impedance matrix scattering parameters. More...

matrix	ztos (matrix z, nr_complex_t z0)
	Convert impedance matrix to scattering parameters identic case. More...

matrix	ztoy (matrix z)
	impedance matrix to admittance matrix. More...

matrix	stoy (matrix s, qucs::vector z0)
	Scattering parameters to admittance matrix. More...

matrix	stoy (matrix s, nr_complex_t z0)
	Convert scattering pto adminttance parameters identic case. More...

matrix	ytos (matrix y, qucs::vector z0)
	Admittance matrix to scattering parameters. More...

matrix	ytos (matrix y, nr_complex_t z0)
	Convert Admittance matrix to scattering parameters identic case. More...

matrix	stoa (matrix s, nr_complex_t z1, nr_complex_t z2)
	Converts chain matrix to scattering parameters. More...

matrix	atos (matrix a, nr_complex_t z1, nr_complex_t z2)
	Converts chain matrix to scattering parameters. More...

matrix	stoh (matrix s, nr_complex_t z1, nr_complex_t z2)
	Converts scattering parameters to hybrid matrix. More...

matrix	htos (matrix h, nr_complex_t z1, nr_complex_t z2)
	Converts hybrid matrix to scattering parameters. More...

matrix	stog (matrix s, nr_complex_t z1, nr_complex_t z2)

matrix	gtos (matrix g, nr_complex_t z1, nr_complex_t z2)

matrix	ytoz (matrix y)
	Convert admittance matrix to impedance matrix. More...

matrix	cytocs (matrix cy, matrix s)
	Admittance noise correlation matrix to S-parameter noise correlation matrix. More...

matrix	cstocy (matrix cs, matrix y)
	Converts S-parameter noise correlation matrix to admittance noise correlation matrix. More...

matrix	cztocs (matrix cz, matrix s)
	Converts impedance noise correlation matrix to S-parameter noise correlation matrix. More...

matrix	cstocz (matrix cs, matrix z)
	Converts S-parameter noise correlation matrix to impedance noise correlation matrix. More...

matrix	cztocy (matrix cz, matrix y)
	Converts impedance noise correlation matrix to admittance noise correlation matrix. More...

matrix	cytocz (matrix cy, matrix z)
	Converts admittance noise correlation matrix to impedance noise correlation matrix. More...

matrix	twoport (matrix m, char in, char out)
	Generic conversion matrix. More...

matrix	diagonal (vector)

matrix	stos (matrix, vector, nr_complex_t z0=50.0)

matrix	stos (matrix, nr_complex_t, vector)

matrix	stos (matrix, vector, vector)

matrix	stoz (matrix, vector)

matrix	ztos (matrix, vector)

matrix	stoy (matrix, vector)

matrix	ytos (matrix, vector)

nr_double_t	rollet (matrix)

nr_double_t	b1 (matrix)

nr_double_t	cos (const nr_double_t arg)
	Compute cosine of an angle. More...

nr_double_t	sin (const nr_double_t arg)
	Compute sine of an angle. More...

nr_double_t	tan (const nr_double_t arg)
	Compute tangent of an angle. More...

nr_double_t	acos (const nr_double_t arg)
	Compute arc cosine. More...

nr_double_t	asin (const nr_double_t arg)
	Compute arc sine. More...

nr_double_t	atan (const nr_double_t arg)
	Compute arc tangent. More...

nr_double_t	atan2 (const nr_double_t x, const nr_double_t y)
	Compute arc tangent with two parameters (fortran like function) More...

nr_double_t	cosh (const nr_double_t arg)
	Compute hyperbolic cosine. More...

nr_double_t	sinh (const nr_double_t arg)
	Compute hyperbolic sine. More...

nr_double_t	tanh (const nr_double_t arg)
	Compute hyperbolic tangent. More...

nr_double_t	acosh (const nr_double_t arg)
	Compute arc hyperbolic cosine. More...

nr_double_t	asinh (const nr_double_t arg)
	Compute arc hyperbolic sine. More...

nr_double_t	atanh (const nr_double_t arg)
	Compute arc hyperbolic tangent. More...

nr_double_t	exp (const nr_double_t arg)

nr_double_t	log (const nr_double_t arg)

nr_double_t	log10 (const nr_double_t arg)

nr_double_t	pow (const nr_double_t a, const nr_double_t b)

nr_double_t	sqrt (const nr_double_t d)

nr_double_t	xhypot (const nr_double_t a, const nr_double_t b)
	Euclidean distance function. More...

nr_double_t	erf (nr_double_t arg)

nr_double_t	ceil (nr_double_t arg)

nr_double_t	floor (nr_double_t arg)

nr_double_t	fmod (nr_double_t arg)

nr_double_t	trunc (nr_double_t arg)

nr_double_t	round (nr_double_t arg)

nr_double_t	coth (const nr_double_t d)

nr_double_t	sech (const nr_double_t d)

nr_double_t	cosech (const nr_double_t d)

nr_double_t	sqr (const nr_double_t r)
	Square a value. More...

unsigned int	sqr (unsigned int r)

nr_double_t	quadr (const nr_double_t r)
	Quartic function. More...

nr_double_t	limexp (const nr_double_t r)
	Compute limited exponential. More...

nr_double_t	signum (const nr_double_t d)
	real signum function More...

nr_double_t	sign (const nr_double_t d)
	real sign function More...

nr_double_t	sinc (const nr_double_t d)
	Real cardinal sinus. More...

nr_double_t	fix (const nr_double_t d)
	Fix function. More...

nr_double_t	step (const nr_double_t d)
	Heaviside step function. More...

unsigned int	factorial (unsigned int n)
	Compute factorial n ie $n!$. More...

nr_double_t	real (const nr_double_t r)
	Real part of real number. More...

nr_double_t	imag (const nr_double_t r)
	Imaginary part of complex number. More...

nr_double_t	norm (const nr_double_t r)
	Compute euclidian norm of real number. More...

nr_double_t	abs (const nr_double_t r)
	Compute complex modulus of real number. More...

nr_double_t	conj (const nr_double_t r)
	Conjugate of real number. More...

matvec	operator+ (matvec a, matvec b)

matvec	operator+ (matvec a, matrix b)

matvec	operator+ (matvec a, qucs::vector b)

matvec	operator+ (qucs::vector b, matvec a)

matvec	operator+ (matrix a, matvec b)

matvec	operator+ (matvec a, nr_complex_t z)

matvec	operator+ (nr_complex_t z, matvec a)

matvec	operator+ (matvec a, nr_double_t d)

matvec	operator+ (nr_double_t d, matvec a)

matvec	operator- (matvec a, nr_complex_t z)

matvec	operator- (nr_complex_t z, matvec a)

matvec	operator- (matvec a, nr_double_t d)

matvec	operator- (nr_double_t d, matvec a)

matvec	operator- (matvec a, matvec b)

matvec	operator- (matvec a, matrix b)

matvec	operator- (matrix a, matvec b)

matvec	operator- (matvec a, qucs::vector b)

matvec	operator- (qucs::vector b, matvec a)

matvec	operator* (matvec a, nr_complex_t z)

matvec	operator* (nr_complex_t z, matvec a)

matvec	operator* (matvec a, nr_double_t d)

matvec	operator* (nr_double_t d, matvec a)

matvec	operator* (matvec a, qucs::vector b)

matvec	operator* (qucs::vector a, matvec b)

matvec	operator/ (matvec a, nr_complex_t z)

matvec	operator/ (matvec a, nr_double_t d)

matvec	operator/ (matvec a, qucs::vector b)

matvec	operator* (matvec a, matvec b)

matvec	operator* (matvec a, matrix b)

matvec	operator* (matrix a, matvec b)

qucs::vector	det (matvec a)

matvec	inverse (matvec a)

matvec	sqr (matvec a)

matvec	pow (matvec a, int n)

matvec	pow (matvec a, qucs::vector v)

matvec	conj (matvec a)

matvec	abs (matvec a)

matvec	dB (matvec a)

matvec	arg (matvec a)

matvec	real (matvec a)

matvec	imag (matvec a)

matvec	adjoint (matvec a)

matvec	transpose (matvec a)

matvec	stos (matvec s, qucs::vector zref, qucs::vector z0)

matvec	stos (matvec s, nr_complex_t zref, nr_complex_t z0)

matvec	stos (matvec s, nr_double_t zref, nr_double_t z0)

matvec	stos (matvec s, qucs::vector zref, nr_complex_t z0)

matvec	stos (matvec s, nr_complex_t zref, qucs::vector z0)

matvec	stoy (matvec s, qucs::vector z0)

matvec	stoy (matvec s, nr_complex_t z0)

matvec	ytos (matvec y, qucs::vector z0)

matvec	ytos (matvec y, nr_complex_t z0)

matvec	stoz (matvec s, qucs::vector z0)

matvec	stoz (matvec s, nr_complex_t z0)

matvec	ztos (matvec z, qucs::vector z0)

matvec	ztos (matvec z, nr_complex_t z0)

matvec	ztoy (matvec z)

matvec	ytoz (matvec y)

matvec	twoport (matvec m, char in, char out)

qucs::vector	rollet (matvec m)

qucs::vector	b1 (matvec m)

matvec	pow (matvec, vector)

matvec	stos (matvec, vector, nr_complex_t z0=50.0)

matvec	stos (matvec, nr_complex_t, vector)

matvec	stos (matvec, vector, vector)

matvec	stoz (matvec, vector)

matvec	ztos (matvec, vector)

matvec	stoy (matvec, vector)

matvec	ytos (matvec, vector)

static int	sortfunc (struct nodelist_t *n)

static int	insfunc (struct nodelist_t n1, struct nodelist_t n2)

qucs::vector	linspace (nr_double_t, nr_double_t, int)

qucs::vector	logspace (nr_double_t, nr_double_t, int)

qucs::vector	runavg (qucs::vector, const int)

qucs::vector	runavg (const nr_complex_t, const int)

nr_complex_t	sum (vector)

nr_complex_t	prod (vector)

nr_complex_t	avg (vector)

vector	cumsum (vector)

vector	cumprod (vector)

vector	cumavg (vector)

vector	dbm (vector, const nr_complex_t z=50.0)

nr_complex_t	integrate (vector v, const nr_complex_t)

nr_double_t	integrate (vector v, const nr_double_t)

vector	real (vector)

vector	imag (vector)

vector	conj (vector)

vector	norm (vector)

vector	arg (vector)

vector	dB (vector)

vector	log (vector)

vector	log2 (vector)

vector	pow (vector, const nr_complex_t)

vector	pow (vector, const nr_double_t)

vector	pow (const nr_complex_t, vector)

vector	pow (const nr_double_t, vector)

vector	pow (vector, vector)

vector	ztor (vector, nr_complex_t zref=50.0)

vector	rtoz (vector, nr_complex_t zref=50.0)

vector	ytor (vector, nr_complex_t zref=50.0)

vector	rtoy (vector, nr_complex_t zref=50.0)

vector	diff (vector, vector, int n=1)

vector	unwrap (vector, nr_double_t tol=M_PI, nr_double_t step=2 *M_PI)

vector	polar (vector, const nr_complex_t)

vector	polar (const nr_complex_t, vector)

vector	polar (vector, vector)

vector	atan2 (vector, const nr_double_t)

vector	atan2 (const nr_double_t, vector)

vector	atan2 (vector, vector)

vector	dbm2w (vector)

vector	w2dbm (vector)

vector	xhypot (vector, vector)

vector	xhypot (vector, const nr_complex_t)

vector	xhypot (vector, const nr_double_t)

vector	xhypot (const nr_complex_t, vector)

vector	xhypot (const nr_double_t, vector)

vector	abs (vector)

vector	log10 (vector)

vector	exp (vector)

vector	limexp (vector)

vector	sqrt (vector)

vector	sin (vector)

vector	asin (vector)

vector	cos (vector)

vector	acos (vector)

vector	tan (vector)

vector	atan (vector)

vector	cot (vector)

vector	acot (vector)

vector	sinh (vector)

vector	asinh (vector)

vector	cosh (vector)

vector	sech (vector)

vector	cosech (vector)

vector	acosh (vector)

vector	asech (vector)

vector	tanh (vector)

vector	atanh (vector)

vector	coth (vector)

vector	acoth (vector)

vector	signum (vector)

vector	sign (vector)

vector	sinc (vector)

vector	ceil (vector)

vector	floor (vector)

vector	fix (vector)

vector	round (vector)

vector	sqr (vector)

vector	step (vector)

vector	jn (const int, vector)

vector	yn (const int, vector)

vector	i0 (vector)

vector	erf (vector)

vector	erfc (vector)

vector	erfinv (vector)

vector	erfcinv (vector)

template<class nr_type_t >
tmatrix< nr_type_t >	inverse (tmatrix< nr_type_t > a)

template<class nr_type_t >
tmatrix< nr_type_t >	teye (int n)

template<class nr_type_t >
tmatrix< nr_type_t >	operator* (tmatrix< nr_type_t > a, tmatrix< nr_type_t > b)

template<class nr_type_t >
tvector< nr_type_t >	operator* (tmatrix< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
tvector< nr_type_t >	operator* (tvector< nr_type_t > a, tmatrix< nr_type_t > b)

template<class nr_type_t >
tvector< nr_type_t >	operator+ (tvector< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
tvector< nr_type_t >	operator- (tvector< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
tvector< nr_type_t >	operator* (nr_double_t s, tvector< nr_type_t > a)

template<class nr_type_t >
tvector< nr_type_t >	operator* (tvector< nr_type_t > a, nr_double_t s)

template<class nr_type_t >
tvector< nr_type_t >	operator* (tvector< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
nr_type_t	scalar (tvector< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
nr_type_t	sum (tvector< nr_type_t > a)

template<class nr_type_t >
tvector< nr_type_t >	operator- (tvector< nr_type_t > a)

template<class nr_type_t >
bool	operator< (tvector< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
bool	operator> (tvector< nr_type_t > a, tvector< nr_type_t > b)

template<class nr_type_t >
tvector< nr_type_t >	operator+ (nr_type_t s, tvector< nr_type_t > a)

template<class nr_type_t >
tvector< nr_type_t >	operator+ (tvector< nr_type_t > a, nr_type_t s)

template<class nr_type_t >
nr_double_t	norm (tvector< nr_type_t > a)

template<class nr_type_t >
nr_double_t	maxnorm (tvector< nr_type_t > a)

template<class nr_type_t >
tvector< nr_type_t >	conj (tvector< nr_type_t > a)

vector	operator+ (vector v1, vector v2)

vector	operator+ (vector v, const nr_complex_t c)

vector	operator+ (const nr_complex_t c, vector v)

vector	operator+ (vector v, const nr_double_t d)

vector	operator+ (const nr_double_t d, vector v)

vector	operator- (vector v1, vector v2)

vector	operator- (vector v, const nr_complex_t c)

vector	operator- (vector v, const nr_double_t d)

vector	operator- (const nr_complex_t c, vector v)

vector	operator- (const nr_double_t d, vector v)

vector	operator* (vector v1, vector v2)

vector	operator* (vector v, const nr_complex_t c)

vector	operator* (vector v, const nr_double_t d)

vector	operator* (const nr_complex_t c, vector v)

vector	operator* (const nr_double_t d, vector v)

vector	operator/ (vector v1, vector v2)

vector	operator/ (vector v, const nr_complex_t c)

vector	operator/ (vector v, const nr_double_t d)

vector	operator/ (const nr_complex_t c, vector v)

vector	operator/ (const nr_double_t d, vector v)

vector	operator% (vector v, const nr_complex_t z)

vector	operator% (vector v, const nr_double_t d)

vector	operator% (const nr_complex_t z, vector v)

vector	operator% (const nr_double_t d, vector v)

vector	operator% (vector v1, vector v2)

static nr_double_t	integrate_n (vector v)

vector	runavg (vector v, const int n)

Detailed Description

It is prefered to add all used funcions into the qucs namespace. Doing so one is forced do think about compatibility instead of using std directly. Inline is optional at this moment

Todo:: test if inline indeed performace improves (optimization flags should inline them anyway)

Function Documentation

vector qucs::abs ( vector )

Definition at line 328 of file vector.cpp.

nr_double_t qucs::abs ( const nr_double_t r )

Compute complex modulus of real number.

Parameters

[in] r Real number

Returns: Modulus of r

Definition at line 498 of file real.cpp.

matvec qucs::abs ( matvec a )

Definition at line 514 of file matvec.cpp.

matrix qucs::abs ( matrix a )

Computes magnitude of each matrix element.

Parameters

[in] a matrix

Todo:

add abs in place

a is const

Definition at line 531 of file matrix.cpp.

nr_double_t qucs::acos ( const nr_double_t arg )

Compute arc cosine.

Parameters

[in] z arc

Returns: arc cosine of z

Definition at line 71 of file real.cpp.

nr_complex_t qucs::acos ( const nr_complex_t z )

Compute complex arc cosine.

Parameters

[in] z complex arc

Returns: arc cosine of z

Definition at line 84 of file complex.cpp.

vector qucs::acos ( vector )

Definition at line 460 of file vector.cpp.

nr_double_t qucs::acosh ( const nr_double_t arg )

Compute arc hyperbolic cosine.

Parameters

[in] z arc

Returns: arc hyperbolic cosine of z

Definition at line 132 of file real.cpp.

nr_complex_t qucs::acosh ( const nr_complex_t z )

Compute complex arc hyperbolic cosine.

Parameters

[in] z complex arc

Returns: arc hyperbolic cosine of z

Definition at line 162 of file complex.cpp.

vector qucs::acosh ( vector )

Definition at line 526 of file vector.cpp.

vector qucs::acot ( vector )

Definition at line 490 of file vector.cpp.

nr_complex_t qucs::acot ( const nr_complex_t z )

Compute complex arc cotangent.

Parameters

[in] z complex arc

Returns: arc cotangent of z

Definition at line 310 of file complex.cpp.

vector qucs::acoth ( vector )

Definition at line 556 of file vector.cpp.

nr_complex_t qucs::acoth ( const nr_complex_t z )

Compute complex argument hyperbolic cotangent.

Parameters

[in] z complex arc

Returns: argument hyperbolic cotangent of z

Definition at line 332 of file complex.cpp.

matrix qucs::adjoint ( matrix a )

adjoint matrix

The function returns the adjoint complex matrix. This is also called the adjugate or transpose conjugate.

Parameters

[in] a Matrix to transpose

Todo:

add adjoint in place

Do not lazy and avoid conj and transpose copy

a is const

Definition at line 522 of file matrix.cpp.

matvec qucs::adjoint ( matvec a )

Definition at line 550 of file matvec.cpp.

vector qucs::arg ( vector )

Definition at line 340 of file vector.cpp.

matvec qucs::arg ( matvec a )

Definition at line 528 of file matvec.cpp.

matrix qucs::arg ( matrix a )

Computes the argument of each matrix element.

Parameters

[in] a matrix

Todo:

add arg in place

a is const

Definition at line 555 of file matrix.cpp.

vector qucs::asech ( vector )

Definition at line 532 of file vector.cpp.

nr_complex_t qucs::asech ( const nr_complex_t z )

Compute complex argument hyperbolic secant.

Parameters

[in] z complex arc

Returns: argument hyperbolic secant of z

Todo:: for symetry reason implement sech

Definition at line 354 of file complex.cpp.

nr_double_t qucs::asin ( const nr_double_t arg )

Compute arc sine.

Parameters

[in] z arc

Returns: arc sine of z

Definition at line 79 of file real.cpp.

nr_complex_t qucs::asin ( const nr_complex_t z )

Compute complex arc sine.

Parameters

[in] z complex arc

Returns: arc sine of z

Definition at line 102 of file complex.cpp.

vector qucs::asin ( vector )

Definition at line 454 of file vector.cpp.

nr_double_t qucs::asinh ( const nr_double_t arg )

Compute arc hyperbolic sine.

Parameters

[in] z arc

Returns: arc hyperbolic sine of z

Definition at line 147 of file real.cpp.

nr_complex_t qucs::asinh ( const nr_complex_t z )

Compute complex arc hyperbolic sine.

Parameters

[in] z complex arc

Returns: arc hyperbolic sine of z

Definition at line 175 of file complex.cpp.

vector qucs::asinh ( vector )

Definition at line 502 of file vector.cpp.

nr_double_t qucs::atan ( const nr_double_t arg )

Compute arc tangent.

Parameters

[in] z arc

Returns: arc tangent of z

Definition at line 87 of file real.cpp.

nr_complex_t qucs::atan ( const nr_complex_t z )

Compute complex arc tangent.

Parameters

[in] z complex arc

Returns: arc tangent of z

Definition at line 117 of file complex.cpp.

vector qucs::atan ( vector )

Definition at line 478 of file vector.cpp.

nr_double_t qucs::atan2	(	const nr_double_t	x,
		const nr_double_t	y
	)

Compute arc tangent with two parameters (fortran like function)

Parameters

[in]	x	proportion of x-coordinate
[in]	y	proportion of y-coordinate

Returns: principal value of the arc tangent of y/x, expressed in radians.

Definition at line 96 of file real.cpp.

vector qucs::atan2	(	vector	,
		const nr_double_t
	)

Definition at line 1162 of file vector.cpp.

vector qucs::atan2	(	const nr_double_t	,
		vector
	)

Definition at line 1155 of file vector.cpp.

vector qucs::atan2	(	vector	,
		vector
	)

Definition at line 1169 of file vector.cpp.

nr_complex_t qucs::atan2	(	const nr_complex_t	y,
		const nr_complex_t	x
	)

Compute complex arc tangent fortran like function.

atan2 is a two-argument function that computes the arc tangent of y / x given y and x, but with a range of $(-\pi;\pi]$

Parameters

[in] z complex angle

Returns: arc tangent of z

Definition at line 377 of file complex.cpp.

nr_double_t qucs::atanh ( const nr_double_t arg )

Compute arc hyperbolic tangent.

Parameters

[in] z arc

Returns: arc hyperbolic tangent of z

Definition at line 163 of file real.cpp.

nr_complex_t qucs::atanh ( const nr_complex_t z )

Compute complex arc hyperbolic tangent.

Parameters

[in] z complex arc

Returns: arc hyperbolic tangent of z

Definition at line 188 of file complex.cpp.

vector qucs::atanh ( vector )

Definition at line 544 of file vector.cpp.

matrix qucs::atos	(	matrix	a,
		nr_complex_t	z1,
		nr_complex_t	z2
	)

Converts chain matrix to scattering parameters.

Converts chain matrix to scattering parameters Formulae are given by [5] and are remembered here:

$\begin{align*} S_{11}&=\frac{AZ_{02}+B-CZ_{01}^*Z_{02}-DZ_{01}^*}{\Delta} \\ S_{12}&=\frac{2(AD-BC) (\Re\text{e}\;Z_{01}\Re\text{e}\;Z_{02})^{1/2}} {\Delta}\\ S_{21}&=\frac{2(\Re\text{e}\;Z_{01}\Re\text{e}\;Z_{02})^{1/2}}{\Delta}\\ S_{22}&=\frac{-AZ_{02}^*+B-CZ_{01}^*Z_{02}+DZ_{01}}{\Delta} \end{align*}$

Where:

$\Delta =AZ_{02}+B+CZ_{01}Z_{02}-DZ_{01}$

Parameters

[in]	a	Chain matrix
[in]	z1	impedance at input 1
[in]	z2	impedance at input 2

Returns: Scattering matrix

Bug:: Do not use fabs

Todo:: a, z1, z2 const

Definition at line 1222 of file matrix.cpp.

nr_complex_t qucs::avg ( vector )

Definition at line 263 of file vector.cpp.

nr_double_t qucs::b1 ( matrix )

qucs::vector qucs::b1 ( matvec m )

Definition at line 677 of file matvec.cpp.

nr_complex_t qucs::cbesselj	(	unsigned int	n,
		nr_complex_t	z
	)

Main entry point for besselj function.

Definition at line 287 of file complex.cpp.

static nr_complex_t qucs::cbesselj_largearg	(	unsigned int	n,
		nr_complex_t	z
	)

static

besselj for large argument

Based on [5] eq (5)

Definition at line 219 of file complex.cpp.

static nr_complex_t qucs::cbesselj_mediumarg	(	unsigned int	n,
		nr_complex_t	z
	)

static

Definition at line 201 of file complex.cpp.

static nr_complex_t qucs::cbesselj_mediumarg_even	(	unsigned int	n,
		nr_complex_t	z
	)

static

Definition at line 173 of file complex.cpp.

static nr_complex_t qucs::cbesselj_mediumarg_odd	(	unsigned int	n,
		nr_complex_t	z
	)

static

Definition at line 146 of file complex.cpp.

static nr_complex_t qucs::cbesselj_smallarg	(	unsigned int	n,
		nr_complex_t	z
	)

static

Todo:: Not really adapted to high order therefore we do not check overflow for n >> 1

\param[in] n order
\param[in] arg arguments

Definition at line 106 of file complex.cpp.

nr_double_t qucs::ceil ( nr_double_t arg )

Definition at line 248 of file real.cpp.

vector qucs::ceil ( vector )

Definition at line 1022 of file vector.cpp.

nr_complex_t qucs::ceil ( const nr_complex_t z )

Complex ceil Ceil is the smallest integral value not less than argument Apply ceil to real and imaginary part.

Parameters

[in] z complex number

Returns: ceilled complex number

Definition at line 634 of file complex.cpp.

nr_complex_t qucs::cofactor	(	matrix	a,
		int	u,
		int	v
	)

Computes the complex cofactor of the given determinant.

The cofactor is the determinant obtained by deleting the row and column of a given element of a matrix or determinant. The cofactor is preceded by a + or - sign depending of the sign of $(-1)^(u+v)$

Bug:: This algortihm is recursive! Stack overfull!

Todo:

((u + v) & 1) is cryptic use (u + v)% 2

#ifdef 0

static?

Definition at line 657 of file matrix.cpp.

template<typename nr_type_t >

nr_type_t qucs::cond_conj ( nr_type_t t )

inline

Definition at line 869 of file eqnsys.cpp.

template<>

double qucs::cond_conj ( double t )

inline

Definition at line 874 of file eqnsys.cpp.

vector qucs::conj ( vector )

Definition at line 358 of file vector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::conj ( tvector< nr_type_t > a )

Definition at line 398 of file tvector.cpp.

matrix qucs::conj ( matrix a )

Conjugate complex matrix.

Parameters

[in] a Matrix to conjugate

Todo:

add conj in place

a is const

Definition at line 505 of file matrix.cpp.

nr_double_t qucs::conj ( const nr_double_t r )

Conjugate of real number.

Parameters

[in] r Real number

Returns: Conjugate of real r ie r

Definition at line 507 of file real.cpp.

matvec qucs::conj ( matvec a )

Definition at line 507 of file matvec.cpp.

nr_double_t qucs::cos ( const nr_double_t arg )

Compute cosine of an angle.

Parameters

[in] z angle in radians

Returns: cosine of z

Definition at line 47 of file real.cpp.

nr_complex_t qucs::cos ( const nr_complex_t z )

Compute complex cosine.

Parameters

[in] z complex angle

Returns: cosine of z

Definition at line 57 of file complex.cpp.

vector qucs::cos ( vector )

Definition at line 466 of file vector.cpp.

vector qucs::cosech ( vector )

Definition at line 520 of file vector.cpp.

nr_double_t qucs::cosech ( const nr_double_t d )

Definition at line 295 of file real.cpp.

nr_complex_t qucs::cosech ( const nr_complex_t z )

Compute complex argument hyperbolic cosec.

Parameters

[in] z complex arc

Returns: argument hyperbolic cosec of z

Definition at line 364 of file complex.cpp.

nr_double_t qucs::cosh ( const nr_double_t arg )

Compute hyperbolic cosine.

Parameters

[in] z arc

Returns: hyperbolic cosine of z

Definition at line 108 of file real.cpp.

nr_complex_t qucs::cosh ( const nr_complex_t z )

Compute complex hyperbolic cosine.

Parameters

[in] z complex arc

Returns: hyperbolic cosine of z

Definition at line 135 of file complex.cpp.

vector qucs::cosh ( vector )

Definition at line 508 of file vector.cpp.

vector qucs::cot ( vector )

Definition at line 484 of file vector.cpp.

nr_complex_t qucs::cot ( const nr_complex_t z )

Compute complex cotangent.

Parameters

[in] z complex angle

Returns: cotangent of z

Definition at line 298 of file complex.cpp.

nr_double_t qucs::coth ( const nr_double_t d )

Definition at line 287 of file real.cpp.

vector qucs::coth ( vector )

Definition at line 550 of file vector.cpp.

nr_complex_t qucs::coth ( const nr_complex_t z )

Compute complex hyperbolic cotangent.

Parameters

[in] z complex angle

Returns: hyperbolic cotangent of z

Definition at line 320 of file complex.cpp.

static char* qucs::Cplx2String ( nr_complex_t c )

static

Definition at line 163 of file equation.cpp.

matrix qucs::cstocy	(	matrix	cs,
		matrix	y
	)

Converts S-parameter noise correlation matrix to admittance noise correlation matrix.

According to [7] fig 2:

$C_y=(I+Y)C_s(I+Y)^+$

Where $C_s$ is the scattering noise correlation matrix, $C_y$ the admittance noise correlation matrix, $I$ the identity matrix and $S$ the scattering matrix of device. $x^+$ is the adjoint of $x$

Warning: cs matrix and y matrix are assumed to be normalized

Parameters

[in]	cs	S parameter noise correlation
[in]	y	Admittance matrix of device

Returns: admittance noise correlation matrix

Todo:: cs, y const

Definition at line 1430 of file matrix.cpp.

matrix qucs::cstocz	(	matrix	cs,
		matrix	z
	)

Converts S-parameter noise correlation matrix to impedance noise correlation matrix.

According to [7] fig 2:

$C_z=(I+Z)C_s(I+Z)^+$

Where $C_s$ is the scattering noise correlation matrix, $C_z$ the impedance noise correlation matrix, $I$ the identity matrix and $S$ the scattering matrix of device. $x^+$ is the adjoint of $x$

Warning: cs matrix and y matrix are assumed to be normalized

Parameters

[in]	cs	S parameter noise correlation
[in]	z	Impedance matrix of device

Returns: Impedance noise correlation matrix

Todo:: cs, z const

Definition at line 1483 of file matrix.cpp.

vector qucs::cumavg ( vector )

Definition at line 1002 of file vector.cpp.

vector qucs::cumprod ( vector )

Definition at line 1012 of file vector.cpp.

vector qucs::cumsum ( vector )

Definition at line 992 of file vector.cpp.

matrix qucs::cytocs	(	matrix	cy,
		matrix	s
	)

Admittance noise correlation matrix to S-parameter noise correlation matrix.

Converts admittance noise correlation matrix to S-parameter noise correlation matrix. According to [7] fig 2:

$C_s=\frac{1}{4}(I+S)C_y(I+S)^+$

Where $C_s$ is the scattering noise correlation matrix, $C_y$ the admittance noise correlation matrix, $I$ the identity matrix and $S$ the scattering matrix of device. $x^+$ is the adjoint of $x$

Warning: cy matrix and s matrix are assumed to be normalized

Parameters

[in]	cy	Admittance noise correlation
[in]	s	S parameter matrix of device

Returns: S-parameter noise correlation matrix

Note: Assert compatiblity of matrix

Todo:: cy s const

Definition at line 1404 of file matrix.cpp.

matrix qucs::cytocz	(	matrix	cy,
		matrix	z
	)

Converts admittance noise correlation matrix to impedance noise correlation matrix.

According to [7] fig 2:

$C_z=ZC_yZ^+$

Where $C_z$ is the impedance correlation matrix, $I$ the identity matrix and $C_y$ the admittance noise correlation matrix. $x^+$ is the adjoint of $x$

Warning: cy matrix and z matrix are assumed to be normalized

Parameters

[in]	cy	Admittance noise correlation
[in]	z	Impedance matrix of device

Returns: Impedance noise correlation matrix

Todo:: cs, z const

Definition at line 1531 of file matrix.cpp.

matrix qucs::cztocs	(	matrix	cz,
		matrix	s
	)

Converts impedance noise correlation matrix to S-parameter noise correlation matrix.

According to [7] fig 2:

$C_s=\frac{1}{4}(I-S)C_z(I-S)$

Where $C_s$ is the scattering noise correlation matrix, $C_z$ the impedance noise correlation matrix, $I$ the identity matrix and $S$ the scattering matrix of device. $x^+$ is the adjoint of $x$

Warning: Cz matrix and s matrix are assumed to be normalized

Parameters

[in]	cz	Impedance noise correlation
[in]	s	S parameter matrix of device

Returns: S-parameter noise correlation matrix

Note: Assert compatiblity of matrix

Todo:: cz, s const

Definition at line 1457 of file matrix.cpp.

matrix qucs::cztocy	(	matrix	cz,
		matrix	y
	)

Converts impedance noise correlation matrix to admittance noise correlation matrix.

According to [7] fig 2:

$C_y=YC_zY^+$

Where $C_z$ is the impedance correlation matrix, $I$ the identity matrix and $C_y$ the admittance noise correlation matrix. $x^+$ is the adjoint of $x$

Warning: cz matrix and y matrix are assumed to be normalized

Parameters

[in]	cz	impedance noise correlation
[in]	y	Admittance matrix of device

Returns: admittance noise correlation matrix

Todo:: cs, y const

Definition at line 1507 of file matrix.cpp.

vector qucs::dB ( vector )

Definition at line 364 of file vector.cpp.

matvec qucs::dB ( matvec a )

Definition at line 521 of file matvec.cpp.

nr_double_t qucs::dB ( const nr_complex_t z )

Magnitude in dB Compute $10\log_{10} |z|^2=20\log_{10} |z|$ .

Parameters

[in] z complex number

Returns: Magnitude in dB

Definition at line 528 of file complex.cpp.

matrix qucs::dB ( matrix a )

Computes magnitude in dB of each matrix element.

Parameters

[in] a matrix

Definition at line 542 of file matrix.cpp.

vector qucs::dbm	(	vector	,
		const nr_complex_t	z = `50.0`
	)

Definition at line 1215 of file vector.cpp.

vector qucs::dbm2w ( vector )

Definition at line 1193 of file vector.cpp.

qucs::vector qucs::det ( matvec a )

Definition at line 472 of file matvec.cpp.

nr_complex_t qucs::det ( matrix a )

Compute determinant of the given matrix.

Parameters

[in] a matrix

Returns: Complex determinant

Todo:: a const?

Definition at line 762 of file matrix.cpp.

nr_complex_t qucs::detGauss ( matrix a )

Compute determinant Gaussian algorithm.

Compute determinant of the given matrix using the Gaussian algorithm. This means to triangulate the matrix and multiply all the diagonal elements.

Parameters

[in] a matrix

Note: assert square matrix

Todo:

static ?

a const?

Definition at line 717 of file matrix.cpp.

nr_complex_t qucs::detLaplace ( matrix a )

Compute determinant of the given matrix using Laplace expansion.

The Laplace expansion of the determinant of an n by n square matrix a expresses the determinant of a as a sum of n determinants of (n-1) by (n-1) sub-matrices of a. There are 2n such expressions, one for each row and column of a.

See Wikipedia http://en.wikipedia.org/wiki/Laplace_expansion

Parameters

[in] a matrix

Bug:

This algortihm is recursive! Stack overfull!

Note: assert square matrix

Todo:

#ifdef 0

static ?

Definition at line 686 of file matrix.cpp.

matrix qucs::diagonal ( vector )

matrix qucs::diagonal ( qucs::vector diag )

Create a diagonal matrix from a vector.

Parameters

[in] diag vector to write on the diagonal

Todo:: diag is const

Definition at line 624 of file matrix.cpp.

vector qucs::diff	(	vector	,
		vector	,
		int	n = `1`
	)

Definition at line 591 of file vector.cpp.

nr_double_t qucs::erf ( nr_double_t arg )

Definition at line 236 of file real.cpp.

vector qucs::erf ( vector )

Definition at line 1084 of file vector.cpp.

nr_complex_t qucs::erf ( const nr_complex_t z )

Error function.

Parameters

[in] z argument

Returns: Error function

Bug:: Not implemented

Definition at line 766 of file complex.cpp.

vector qucs::erfc ( vector )

Definition at line 1090 of file vector.cpp.

nr_complex_t qucs::erfc ( const nr_complex_t z )

Complementart error function.

Parameters

[in] z argument

Returns: Complementary error function

Bug:: Not implemented

Definition at line 784 of file complex.cpp.

vector qucs::erfcinv ( vector )

Definition at line 1102 of file vector.cpp.

nr_complex_t qucs::erfcinv ( const nr_complex_t z )

Inverse of complementart error function.

Parameters

[in] z argument

Returns: Inverse of complementary error function

Bug:: Not implemented

Definition at line 813 of file complex.cpp.

vector qucs::erfinv ( vector )

Definition at line 1096 of file vector.cpp.

nr_complex_t qucs::erfinv ( const nr_complex_t z )

Inverse of error function.

Parameters

[in] z argument

Returns: Inverse of error function

Bug:: Not implemented

Definition at line 802 of file complex.cpp.

static void qucs::euclidian_update	(	nr_double_t	a,
		nr_double_t &	n,
		nr_double_t &	scale
	)

static

Helper function for the euclidian norm calculators.

Definition at line 828 of file eqnsys.cpp.

nr_double_t qucs::exp ( const nr_double_t arg )

Definition at line 179 of file real.cpp.

nr_complex_t qucs::exp ( const nr_complex_t z )

Compute complex exponential.

Parameters

[in] z complex number

Returns: exponential of z

Definition at line 205 of file complex.cpp.

vector qucs::exp ( vector )

Definition at line 377 of file vector.cpp.

matrix qucs::eye	(	int	rs,
		int	cs
	)

Create identity matrix with specified number of rows and columns.

Parameters

[in]	rs	row number
[in]	cs	column number

Todo:

Avoid res.get*

Use memset

rs, cs are const

Definition at line 603 of file matrix.cpp.

matrix qucs::eye ( int s )

Create a square identity matrix.

Parameters

[in] s row or column number of square matrix

Todo:

Do not by lazy and implement it

s is const

Definition at line 616 of file matrix.cpp.

unsigned int qucs::factorial ( unsigned int n )

Compute factorial n ie $n!$.

Definition at line 444 of file real.cpp.

vector qucs::fix ( vector )

Definition at line 1028 of file vector.cpp.

nr_double_t qucs::fix ( const nr_double_t d )

Fix function.

Fix is nearest integral value in direction of 0,

$\operatorname{fix} d=\begin{cases} \operatorname{floor} d & \text{if } d > 0 \\ \operatorname{ceil} d & \text{else} \end{cases}$

Parameters

[in] d real number

Returns: fixed complex number

Todo:: Why not inline?

Definition at line 416 of file real.cpp.

nr_complex_t qucs::fix ( const nr_complex_t z )

Complex fix.

Apply fix to real and imaginary part

Parameters

[in] z complex number

Returns: fixed complex number

Todo:: why not using real fix

Definition at line 645 of file complex.cpp.

nr_double_t qucs::floor ( nr_double_t arg )

Definition at line 252 of file real.cpp.

vector qucs::floor ( vector )

Definition at line 1034 of file vector.cpp.

nr_complex_t qucs::floor ( const nr_complex_t z )

Complex floor.

floor is the largest integral value not greater than argument Apply floor to real and imaginary part

Parameters

[in] z complex number

Returns: floored complex number

Definition at line 623 of file complex.cpp.

nr_double_t qucs::fmod ( nr_double_t arg )

Definition at line 256 of file real.cpp.

nr_complex_t qucs::fmod	(	const nr_complex_t	x,
		const nr_complex_t	y
	)

Complex fmod Apply fmod to the complex z.

Parameters

[in]	x	complex number (numerator)
[in]	y	complex number (denominator)

Returns: return where n is the quotient of , rounded towards zero to an integer.

Todo:: add fmod to manual

Definition at line 662 of file complex.cpp.

static nr_double_t qucs::givens	(	nr_double_t	a,
		nr_double_t	b,
		nr_double_t &	c,
		nr_double_t &	s
	)

static

Helper function computes Givens rotation.

Definition at line 1337 of file eqnsys.cpp.

matrix qucs::gtos	(	matrix	g,
		nr_complex_t	z1,
		nr_complex_t	z2
	)

Definition at line 1355 of file matrix.cpp.

matrix qucs::htos	(	matrix	h,
		nr_complex_t	z1,
		nr_complex_t	z2
	)

Converts hybrid matrix to scattering parameters.

Formulae are given by [5] and are remembered here:

$\begin{align*} S_{11}&=\frac{(h_{11}-Z_{01}^*)(1+h_{22}Z_{02})-h_{12}h_{21}Z_{02}} {\Delta}\\ S_{12}&=\frac{-2h_{12}(\Re\text{e}\;Z_{01}\Re\text{e}\;Z_{02})^\frac{1}{2}} {\Delta}\\ S_{21}&=\frac{-2h_{21}(\Re\text{e}\;Z_{01}\Re\text{e}\;Z_{02})^\frac{1}{2}} {\Delta}\\ S_{22}&=\frac{(h_{11}+Z_{01})(1-h_{22}Z_{02}^*)-h_{12}h_{21}Z_{02}^*} {\Delta} \end{align*}$

Where $\Delta$ is:

$\Delta=(Z_{01}+h_{11})(1+h_{22}Z_{02})-h_{12}h_{21}Z_{02}$

Parameters

[in]	h	hybrid matrix
[in]	z1	impedance at input 1
[in]	z2	impedance at input 2

Returns: scattering matrix

Note: Assert 2 by 2 matrix

Todo:: Why not h,z1,z2 const

Definition at line 1307 of file matrix.cpp.

vector qucs::i0 ( vector )

Definition at line 1108 of file vector.cpp.

nr_complex_t qucs::i0 ( const nr_complex_t z )

Modified Bessel function of first kind.

Parameters

[in] z argument

Returns: Modified Bessel function of first kind of order 0

Bug:: Not implemented

Definition at line 754 of file complex.cpp.

vector qucs::imag ( vector )

Definition at line 352 of file vector.cpp.

nr_double_t qucs::imag ( const nr_double_t r )

Imaginary part of complex number.

Parameters

[in] r Real number

Returns: Imaginary part of r

Definition at line 479 of file real.cpp.

matvec qucs::imag ( matvec a )

Definition at line 542 of file matvec.cpp.

matrix qucs::imag ( matrix a )

Imaginary part matrix.

Parameters

[in] a matrix

Todo:

add imag in place

a is const

Definition at line 581 of file matrix.cpp.

static int qucs::insfunc	(	struct nodelist_t *	n1,
		struct nodelist_t *	n2
	)

static

Definition at line 349 of file nodelist.cpp.

nr_complex_t qucs::integrate	(	vector	v,
		const nr_complex_t
	)

Definition at line 1207 of file vector.cpp.

nr_double_t qucs::integrate	(	vector	v,
		const nr_double_t
	)

Definition at line 1200 of file vector.cpp.

static nr_double_t qucs::integrate_n ( vector v )

static

Definition at line 1058 of file vector.cpp.

template<class nr_type_t >

tmatrix<nr_type_t> qucs::inverse ( tmatrix< nr_type_t > a )

Definition at line 197 of file tmatrix.cpp.

matvec qucs::inverse ( matvec a )

Definition at line 479 of file matvec.cpp.

matrix qucs::inverse ( matrix a )

Compute inverse matrix.

Parameters

[in] a matrix to invert

Todo:: a is const

Definition at line 847 of file matrix.cpp.

matrix qucs::inverseGaussJordan ( matrix a )

Compute inverse matrix using Gauss-Jordan elimination.

Compute inverse matrix of the given matrix by Gauss-Jordan elimination.

Todo:

a const?

static?

Note: assert non singulat matix

Parameters

[in] a matrix to invert

Definition at line 798 of file matrix.cpp.

matrix qucs::inverseLaplace ( matrix a )

Compute inverse matrix using Laplace expansion.

Compute inverse matrix of the given matrix using Laplace expansion.

Parameters

[in] a matrix to invert

Todo:

Static?

#ifdef 0

Bug:: recursive! Stack overflow

Todo:: a const?

Definition at line 779 of file matrix.cpp.

vector qucs::jn	(	const int	,
		vector
	)

Definition at line 1114 of file vector.cpp.

nr_complex_t qucs::jn	(	const int	n,
		const nr_complex_t	z
	)

Bessel function of first kind.

Parameters

[in]	n	order
[in]	z	argument

Returns: Bessel function of first kind of order n

Bug:: Not implemented

Definition at line 729 of file complex.cpp.

vector qucs::limexp ( vector )

Definition at line 383 of file vector.cpp.

nr_double_t qucs::limexp ( const nr_double_t r )

Compute limited exponential.

Compute limited exponential:

$\begin{cases} \exp r & \text{if } r < \text{M\_LIMEXP} \\ \exp (\text{M\_LIMEXP})\left[1.0 + (r - \text{M\_LIMEXP})\right] & \text{else} \end{cases}$

M_LIMEXP is a constant

Parameters

[in] r real number

Returns: limited exponential of r

Todo:

Change limexp(real) limexp(complex) file order

Document M_LIMEXP

Definition at line 350 of file real.cpp.

nr_complex_t qucs::limexp ( const nr_complex_t z )

Compute limited complex exponential.

Parameters

[in] z complex number

Returns: limited exponential of z

Todo:: Change limexp(real) limexp(complex) file order

Definition at line 539 of file complex.cpp.

qucs::vector qucs::linspace	(	nr_double_t	,
		nr_double_t	,
		int
	)

Definition at line 950 of file vector.cpp.

nr_double_t qucs::log ( const nr_double_t arg )

Definition at line 182 of file real.cpp.

nr_complex_t qucs::log ( const nr_complex_t z )

Compute principal value of natural logarithm of z.

Parameters

[in] z complex number

Returns: principal value of natural logarithm of z

Definition at line 215 of file complex.cpp.

vector qucs::log ( vector )

Definition at line 389 of file vector.cpp.

nr_double_t qucs::log10 ( const nr_double_t arg )

Definition at line 185 of file real.cpp.

nr_complex_t qucs::log10 ( const nr_complex_t z )

Compute principal value of decimal logarithm of z.

Parameters

[in] z complex number

Returns: principal value of decimal logarithm of z

Definition at line 225 of file complex.cpp.

vector qucs::log10 ( vector )

Definition at line 395 of file vector.cpp.

vector qucs::log2 ( vector )

Definition at line 401 of file vector.cpp.

nr_complex_t qucs::log2 ( const nr_complex_t z )

Compute principal value of binary logarithm of z.

Parameters

[in] z complex number

Returns: principal value of binary logarithm of z

Definition at line 393 of file complex.cpp.

qucs::vector qucs::logspace	(	nr_double_t	,
		nr_double_t	,
		int
	)

Definition at line 965 of file vector.cpp.

template<class nr_type_t >

nr_double_t qucs::maxnorm ( tvector< nr_type_t > a )

Definition at line 387 of file tvector.cpp.

vector qucs::norm ( vector )

Definition at line 334 of file vector.cpp.

nr_double_t qucs::norm ( const nr_complex_t z )

Compute euclidian norm of complex number.

Compute $(\Re\mathrm{e}\;z )^2+ (\Im\mathrm{m}\;z)^2=|z|^2$

Parameters

[in] z Complex number

Returns: Euclidian norm of z

Definition at line 283 of file complex.cpp.

template<class nr_type_t >

nr_double_t qucs::norm ( tvector< nr_type_t > a )

Definition at line 348 of file tvector.cpp.

nr_double_t qucs::norm ( const nr_double_t r )

Compute euclidian norm of real number.

Compute $r^2$

Parameters

[in] r Real number

Returns: Euclidian norm of r

Definition at line 489 of file real.cpp.

bool qucs::operator!=	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Inequality of two complex.

Todo:

Why not inline

Note: Like inequality of double this test is meaningless in finite precision Use instead fabs(x-x0) > tol

Definition at line 865 of file complex.cpp.

nr_complex_t qucs::operator%	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Modulo.

Todo:: Why not inline

Definition at line 826 of file complex.cpp.

nr_complex_t qucs::operator%	(	const nr_complex_t	z1,
		const nr_double_t	r2
	)

Modulo.

Todo:: Why not inline

Definition at line 834 of file complex.cpp.

nr_complex_t qucs::operator%	(	const nr_double_t	r1,
		const nr_complex_t	z2
	)

Modulo.

Todo:: Why not inline

Definition at line 842 of file complex.cpp.

vector qucs::operator%	(	vector	v,
		const nr_complex_t	z
	)

Definition at line 857 of file vector.cpp.

vector qucs::operator%	(	vector	v,
		const nr_double_t	d
	)

Definition at line 864 of file vector.cpp.

vector qucs::operator%	(	const nr_complex_t	z,
		vector	v
	)

Definition at line 871 of file vector.cpp.

vector qucs::operator%	(	const nr_double_t	d,
		vector	v
	)

Definition at line 878 of file vector.cpp.

vector qucs::operator%	(	vector	v1,
		vector	v2
	)

Definition at line 885 of file vector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator*	(	nr_double_t	s,
		tvector< nr_type_t >	a
	)

Definition at line 259 of file tvector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator*	(	tvector< nr_type_t >	a,
		nr_double_t	s
	)

Definition at line 267 of file tvector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator*	(	tvector< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 273 of file tvector.cpp.

template<class nr_type_t >

tmatrix<nr_type_t> qucs::operator*	(	tmatrix< nr_type_t >	a,
		tmatrix< nr_type_t >	b
	)

Definition at line 275 of file tmatrix.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator*	(	tmatrix< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 291 of file tmatrix.cpp.

matrix qucs::operator*	(	matrix	a,
		nr_complex_t	z
	)

Matrix scaling complex version.

Parameters

[in]	a	matrix to scale
[in]	z	scaling complex

Returns: Scaled matrix

Todo:: Why not a and z const

Definition at line 298 of file matrix.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator*	(	tvector< nr_type_t >	a,
		tmatrix< nr_type_t >	b
	)

Definition at line 306 of file tmatrix.cpp.

matrix qucs::operator*	(	nr_complex_t	z,
		matrix	a
	)

Matrix scaling complex version (different order)

Parameters

[in]	a	matrix to scale
[in]	z	scaling complex

Returns: Scaled matrix

Todo:

Why not a and z const

Why not inline

Definition at line 313 of file matrix.cpp.

matrix qucs::operator*	(	matrix	a,
		nr_double_t	d
	)

Matrix scaling complex version.

Parameters

[in]	a	matrix to scale
[in]	d	scaling real

Returns: Scaled matrix

Todo:: Why not d and a const

Definition at line 323 of file matrix.cpp.

matrix qucs::operator*	(	nr_double_t	d,
		matrix	a
	)

Matrix scaling real version (different order)

Parameters

[in]	a	matrix to scale
[in]	d	scaling real

Returns: Scaled matrix

Todo:

Why not inline?

Why not d and a const

Definition at line 338 of file matrix.cpp.

matrix qucs::operator*	(	matrix	a,
		matrix	b
	)

Matrix multiplication.

Dumb and not optimized matrix multiplication

Parameters

a]	first matrix
b]	second matrix

Note: assert compatibility

Todo:: a and b are const

Definition at line 378 of file matrix.cpp.

matvec qucs::operator*	(	matvec	a,
		nr_complex_t	z
	)

Definition at line 392 of file matvec.cpp.

matvec qucs::operator*	(	nr_complex_t	z,
		matvec	a
	)

Definition at line 399 of file matvec.cpp.

matvec qucs::operator*	(	matvec	a,
		nr_double_t	d
	)

Definition at line 404 of file matvec.cpp.

matvec qucs::operator*	(	nr_double_t	d,
		matvec	a
	)

Definition at line 411 of file matvec.cpp.

matvec qucs::operator*	(	matvec	a,
		qucs::vector	b
	)

Definition at line 416 of file matvec.cpp.

matvec qucs::operator*	(	qucs::vector	a,
		matvec	b
	)

Definition at line 424 of file matvec.cpp.

matvec qucs::operator*	(	matvec	a,
		matvec	b
	)

Definition at line 451 of file matvec.cpp.

matvec qucs::operator*	(	matvec	a,
		matrix	b
	)

Definition at line 459 of file matvec.cpp.

matvec qucs::operator*	(	matrix	a,
		matvec	b
	)

Definition at line 467 of file matvec.cpp.

vector qucs::operator*	(	vector	v1,
		vector	v2
	)

Definition at line 766 of file vector.cpp.

vector qucs::operator*	(	vector	v,
		const nr_complex_t	c
	)

Definition at line 779 of file vector.cpp.

vector qucs::operator*	(	vector	v,
		const nr_double_t	d
	)

Definition at line 785 of file vector.cpp.

vector qucs::operator*	(	const nr_complex_t	c,
		vector	v
	)

Definition at line 791 of file vector.cpp.

vector qucs::operator*	(	const nr_double_t	d,
		vector	v
	)

Definition at line 795 of file vector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator+	(	tvector< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 203 of file tvector.cpp.

matrix qucs::operator+	(	matrix	a,
		matrix	b
	)

Matrix addition.

Parameters

a]	first matrix
b]	second matrix

Note: assert same size

Todo:: a and b are const

Definition at line 228 of file matrix.cpp.

matvec qucs::operator+	(	matvec	a,
		matvec	b
	)

Definition at line 246 of file matvec.cpp.

matvec qucs::operator+	(	matvec	a,
		matrix	b
	)

Definition at line 255 of file matvec.cpp.

matvec qucs::operator+	(	matvec	a,
		qucs::vector	b
	)

Definition at line 263 of file matvec.cpp.

matvec qucs::operator+	(	qucs::vector	b,
		matvec	a
	)

Definition at line 271 of file matvec.cpp.

matvec qucs::operator+	(	matrix	a,
		matvec	b
	)

Definition at line 276 of file matvec.cpp.

matvec qucs::operator+	(	matvec	a,
		nr_complex_t	z
	)

Definition at line 281 of file matvec.cpp.

matvec qucs::operator+	(	nr_complex_t	z,
		matvec	a
	)

Definition at line 288 of file matvec.cpp.

matvec qucs::operator+	(	matvec	a,
		nr_double_t	d
	)

Definition at line 295 of file matvec.cpp.

matvec qucs::operator+	(	nr_double_t	d,
		matvec	a
	)

Definition at line 302 of file matvec.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator+	(	nr_type_t	s,
		tvector< nr_type_t >	a
	)

Definition at line 334 of file tvector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator+	(	tvector< nr_type_t >	a,
		nr_type_t	s
	)

Definition at line 342 of file tvector.cpp.

matrix qucs::operator+	(	matrix	a,
		nr_complex_t	z
	)

Complex scalar addition.

Parameters

[in]	a	matrix
[in]	z	complex to add

Todo:

Move near other +

a and z are const

Definition at line 399 of file matrix.cpp.

matrix qucs::operator+	(	nr_complex_t	z,
		matrix	a
	)

Complex scalar addition different order.

Parameters

[in]	a	matrix
[in]	z	complex to add

Todo:

Move near other +

a and z are const

Why not inline

Definition at line 414 of file matrix.cpp.

matrix qucs::operator+	(	matrix	a,
		nr_double_t	d
	)

Real scalar addition.

Parameters

[in]	a	matrix
[in]	d	real to add

Todo:

Move near other +

a and d are const

Definition at line 424 of file matrix.cpp.

matrix qucs::operator+	(	nr_double_t	d,
		matrix	a
	)

Real scalar addition different order.

Parameters

[in]	a	matrix
[in]	d	real to add

Todo:

Move near other +

a and d are const

Why not inline

Definition at line 439 of file matrix.cpp.

vector qucs::operator+	(	vector	v1,
		vector	v2
	)

Definition at line 656 of file vector.cpp.

vector qucs::operator+	(	vector	v,
		const nr_complex_t	c
	)

Definition at line 669 of file vector.cpp.

vector qucs::operator+	(	const nr_complex_t	c,
		vector	v
	)

Definition at line 675 of file vector.cpp.

vector qucs::operator+	(	vector	v,
		const nr_double_t	d
	)

Definition at line 679 of file vector.cpp.

vector qucs::operator+	(	const nr_double_t	d,
		vector	v
	)

Definition at line 685 of file vector.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator-	(	tvector< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 223 of file tvector.cpp.

matrix qucs::operator-	(	matrix	a,
		matrix	b
	)

Matrix subtraction.

Parameters

a]	first matrix
b]	second matrix

Note: assert same size

Todo:: a and b are const

Definition at line 259 of file matrix.cpp.

template<class nr_type_t >

tvector<nr_type_t> qucs::operator- ( tvector< nr_type_t > a )

Definition at line 307 of file tvector.cpp.

matvec qucs::operator-	(	matvec	a,
		nr_complex_t	z
	)

Definition at line 309 of file matvec.cpp.

matvec qucs::operator-	(	nr_complex_t	z,
		matvec	a
	)

Definition at line 316 of file matvec.cpp.

matvec qucs::operator-	(	matvec	a,
		nr_double_t	d
	)

Definition at line 323 of file matvec.cpp.

matvec qucs::operator-	(	nr_double_t	d,
		matvec	a
	)

Definition at line 330 of file matvec.cpp.

matvec qucs::operator-	(	matvec	a,
		matvec	b
	)

Definition at line 345 of file matvec.cpp.

matvec qucs::operator-	(	matvec	a,
		matrix	b
	)

Definition at line 354 of file matvec.cpp.

matvec qucs::operator-	(	matrix	a,
		matvec	b
	)

Definition at line 362 of file matvec.cpp.

matvec qucs::operator-	(	matvec	a,
		qucs::vector	b
	)

Definition at line 367 of file matvec.cpp.

matvec qucs::operator-	(	qucs::vector	b,
		matvec	a
	)

Definition at line 372 of file matvec.cpp.

matrix qucs::operator-	(	matrix	a,
		nr_complex_t	z
	)

Complex scalar substraction.

Parameters

[in]	a	matrix
[in]	z	complex to add

Todo:

Move near other +

a and z are const

Why not inline

Definition at line 450 of file matrix.cpp.

matrix qucs::operator-	(	nr_complex_t	z,
		matrix	a
	)

Complex scalar substraction different order.

Parameters

[in]	a	matrix
[in]	z	complex to add

Todo:

Move near other +

a and z are const

Why not inline

Definition at line 461 of file matrix.cpp.

matrix qucs::operator-	(	matrix	a,
		nr_double_t	d
	)

Real scalar substraction.

Parameters

[in]	a	matrix
[in]	z	real to add

Todo:

Move near other +

a and z are const

Why not inline

Definition at line 472 of file matrix.cpp.

matrix qucs::operator-	(	nr_double_t	d,
		matrix	a
	)

Real scalar substraction different order.

Parameters

[in]	a	matrix
[in]	z	real to add

Todo:

Move near other +

a and z are const

Why not inline

Definition at line 483 of file matrix.cpp.

vector qucs::operator-	(	vector	v1,
		vector	v2
	)

Definition at line 712 of file vector.cpp.

vector qucs::operator-	(	vector	v,
		const nr_complex_t	c
	)

Definition at line 725 of file vector.cpp.

vector qucs::operator-	(	vector	v,
		const nr_double_t	d
	)

Definition at line 731 of file vector.cpp.

vector qucs::operator-	(	const nr_complex_t	c,
		vector	v
	)

Definition at line 737 of file vector.cpp.

vector qucs::operator-	(	const nr_double_t	d,
		vector	v
	)

Definition at line 743 of file vector.cpp.

matrix qucs::operator/	(	matrix	a,
		nr_complex_t	z
	)

Matrix scaling division by complex version.

Parameters

[in]	a	matrix to scale
[in]	z	scaling complex

Returns: Scaled matrix

Todo:: Why not a and z const

Definition at line 348 of file matrix.cpp.

matrix qucs::operator/	(	matrix	a,
		nr_double_t	d
	)

Matrix scaling division by real version.

Parameters

[in]	a	matrix to scale
[in]	d	scaling real

Returns: Scaled matrix

Todo:: Why not a and d const

Definition at line 362 of file matrix.cpp.

matvec qucs::operator/	(	matvec	a,
		nr_complex_t	z
	)

Definition at line 429 of file matvec.cpp.

matvec qucs::operator/	(	matvec	a,
		nr_double_t	d
	)

Definition at line 436 of file matvec.cpp.

matvec qucs::operator/	(	matvec	a,
		qucs::vector	b
	)

Definition at line 443 of file matvec.cpp.

vector qucs::operator/	(	vector	v1,
		vector	v2
	)

Definition at line 816 of file vector.cpp.

vector qucs::operator/	(	vector	v,
		const nr_complex_t	c
	)

Definition at line 831 of file vector.cpp.

vector qucs::operator/	(	vector	v,
		const nr_double_t	d
	)

Definition at line 837 of file vector.cpp.

vector qucs::operator/	(	const nr_complex_t	c,
		vector	v
	)

Definition at line 843 of file vector.cpp.

vector qucs::operator/	(	const nr_double_t	d,
		vector	v
	)

Definition at line 850 of file vector.cpp.

template<class nr_type_t >

bool qucs::operator<	(	tvector< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 316 of file tvector.cpp.

bool qucs::operator<	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Inferior.

Todo:: Why not inline

Definition at line 897 of file complex.cpp.

bool qucs::operator<=	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Inferior of equal.

Todo:: Why not inline

Definition at line 881 of file complex.cpp.

bool qucs::operator==	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Equality of two complex.

Todo:

Why not inline

Note: Like equality of double this test is meaningless in finite precision Use instead fabs(x-x0) < tol

Definition at line 854 of file complex.cpp.

template<class nr_type_t >

bool qucs::operator>	(	tvector< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 325 of file tvector.cpp.

bool qucs::operator>	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Superior.

Todo:: Why not inline

Definition at line 889 of file complex.cpp.

bool qucs::operator>=	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Superior of equal.

Todo:: Why not inline

Definition at line 873 of file complex.cpp.

vector qucs::polar	(	vector	,
		const nr_complex_t
	)

Definition at line 1132 of file vector.cpp.

vector qucs::polar	(	const nr_complex_t	,
		vector
	)

Definition at line 1126 of file vector.cpp.

vector qucs::polar	(	vector	,
		vector
	)

Definition at line 1138 of file vector.cpp.

nr_complex_t qucs::polar	(	const nr_double_t	mag,
		const nr_double_t	ang
	)

Construct a complex number using polar notation.

Parameters

[in]	mag	Magnitude
[in]	ang	Angle

Returns: complex number in rectangular form

Definition at line 551 of file complex.cpp.

nr_complex_t qucs::polar	(	const nr_complex_t	a,
		const nr_complex_t	p
	)

Extension of polar construction to complex.

Parameters

[in]	a	Magnitude
[in]	p	Angle

Returns: complex number in rectangular form

Bug:: Do not seems holomorph form of real polar

Bug:: are these needed/used?

Definition at line 566 of file complex.cpp.

matvec qucs::pow	(	matvec	,
		vector
	)

nr_double_t qucs::pow	(	const nr_double_t	a,
		const nr_double_t	b
	)

Definition at line 193 of file real.cpp.

nr_complex_t qucs::pow	(	const nr_complex_t	z,
		const nr_double_t	d
	)

Compute power function with real exponent.

Parameters

[in]	z	complex mantisse
[in]	d	real exponent

Returns: z power d ( )

Definition at line 238 of file complex.cpp.

nr_complex_t qucs::pow	(	const nr_double_t	d,
		const nr_complex_t	z
	)

Compute power function with complex exponent but real mantisse.

Parameters

[in]	d	real mantisse
[in]	z	complex exponent

Returns: d power z ( )

Definition at line 248 of file complex.cpp.

vector qucs::pow	(	vector	,
		const nr_complex_t
	)

Definition at line 407 of file vector.cpp.

vector qucs::pow	(	vector	,
		const nr_double_t
	)

Definition at line 413 of file vector.cpp.

vector qucs::pow	(	const nr_complex_t	,
		vector
	)

Definition at line 419 of file vector.cpp.

vector qucs::pow	(	const nr_double_t	,
		vector
	)

Definition at line 425 of file vector.cpp.

vector qucs::pow	(	vector	,
		vector
	)

Definition at line 431 of file vector.cpp.

nr_complex_t qucs::pow	(	const nr_complex_t	z1,
		const nr_complex_t	z2
	)

Compute complex power function.

Parameters

[in]	z1	complex mantisse
[in]	z2	complex exponent

Returns: d power z ( $z_1^{z_2}$ )

Definition at line 258 of file complex.cpp.

matvec qucs::pow	(	matvec	a,
		int	n
	)

Definition at line 491 of file matvec.cpp.

matvec qucs::pow	(	matvec	a,
		qucs::vector	v
	)

Definition at line 498 of file matvec.cpp.

matrix qucs::pow	(	matrix	a,
		int	n
	)

Definition at line 632 of file matrix.cpp.

nr_complex_t qucs::prod ( vector )

Definition at line 257 of file vector.cpp.

nr_double_t qucs::quadr ( const nr_double_t r )

Quartic function.

Parameters

[in] r Real number

Returns

Definition at line 324 of file real.cpp.

vector qucs::real ( vector )

Definition at line 346 of file vector.cpp.

nr_double_t qucs::real ( const nr_double_t r )

Real part of real number.

Parameters

[in] r Real number

Returns: Real part of r ie r

Definition at line 470 of file real.cpp.

matvec qucs::real ( matvec a )

Definition at line 535 of file matvec.cpp.

matrix qucs::real ( matrix a )

Real part matrix.

Parameters

[in] a matrix

Todo:

add real in place

a is const

Definition at line 568 of file matrix.cpp.

nr_double_t qucs::rollet ( matrix )

qucs::vector qucs::rollet ( matvec m )

Definition at line 668 of file matvec.cpp.

nr_double_t qucs::round ( nr_double_t arg )

Definition at line 273 of file real.cpp.

vector qucs::round ( vector )

Definition at line 1040 of file vector.cpp.

nr_complex_t qucs::round ( const nr_complex_t z )

Complex round Round is the nearest integral value Apply round to real and imaginary part.

Parameters

[in] z complex number

Returns: rounded complex number

Definition at line 496 of file complex.cpp.

vector qucs::rtoy	(	vector	,
		nr_complex_t	zref = `50.0`
	)

Definition at line 584 of file vector.cpp.

nr_complex_t qucs::rtoy	(	const nr_complex_t	r,
		nr_complex_t	zref
	)

Converts reflexion coefficient to admittance.

Parameters

[in]	r	reflexion coefficient
[in]	zref	normalisation impedance

Returns: admittance

Definition at line 608 of file complex.cpp.

vector qucs::rtoz	(	vector	,
		nr_complex_t	zref = `50.0`
	)

Definition at line 577 of file vector.cpp.

nr_complex_t qucs::rtoz	(	const nr_complex_t	r,
		nr_complex_t	zref
	)

Converts reflexion coefficient to impedance.

Parameters

[in]	r	reflexion coefficient
[in]	zref	normalisation impedance

Returns: impedance

Definition at line 590 of file complex.cpp.

qucs::vector qucs::runavg	(	qucs::vector	,
		const int
	)

qucs::vector qucs::runavg	(	const nr_complex_t	,
		const int
	)

Definition at line 1222 of file vector.cpp.

vector qucs::runavg	(	vector	v,
		const int	n
	)

Definition at line 1228 of file vector.cpp.

template<class nr_type_t >

nr_type_t qucs::scalar	(	tvector< nr_type_t >	a,
		tvector< nr_type_t >	b
	)

Definition at line 283 of file tvector.cpp.

nr_double_t qucs::sech ( const nr_double_t d )

Definition at line 291 of file real.cpp.

vector qucs::sech ( vector )

Definition at line 514 of file vector.cpp.

nr_complex_t qucs::sech ( const nr_complex_t z )

Compute complex hyperbolic secant.

Parameters

[in] z complex angle

Returns: hyperbolic secant of z

Definition at line 343 of file complex.cpp.

vector qucs::sign ( vector )

Definition at line 275 of file vector.cpp.

nr_double_t qucs::sign ( const nr_double_t d )

real sign function

compute

$\mathrm{sign}\;d= = \begin{cases} 1 & \text{if } d\ge 0 \\ -1 & \text{if } d<0 \end{cases}$

Parameters

[in] d real number

Returns: sign of d

Todo:: Move near complex sign

Definition at line 386 of file real.cpp.

nr_complex_t qucs::sign ( const nr_complex_t z )

complex sign function

compute

$\mathrm{sign}\;z= \mathrm{sign} (re^{i\theta}) = \begin{cases} 1 & \text{if } z=0 \\ e^{i\theta} & \text{else} \end{cases}$

Parameters

[in] z complex number

Returns: sign of z

Todo:: Better implementation z/abs(z) is not really stable

Definition at line 435 of file complex.cpp.

vector qucs::signum ( vector )

Definition at line 269 of file vector.cpp.

nr_double_t qucs::signum ( const nr_double_t d )

real signum function

compute

$\mathrm{signum}\;d= = \begin{cases} O & \text{if } d=0 \\ 1 & \text{if } d>0 \\ -1 & \text{if } d<0 \end{cases}$

Parameters

[in] d real number

Returns: signum of d

Todo:: Move near complex signum

Definition at line 368 of file real.cpp.

nr_complex_t qucs::signum ( const nr_complex_t z )

complex signum function

compute

$\mathrm{signum}\;z= \mathrm{signum} (re^{i\theta}) = \begin{cases} 0 & \text{if } z=0 \\ e^{i\theta} & \text{else} \end{cases}$

Parameters

[in] z complex number

Returns: signum of z

Todo:: Better implementation z/abs(z) is not really stable

Definition at line 416 of file complex.cpp.

nr_double_t qucs::sin ( const nr_double_t arg )

Compute sine of an angle.

Parameters

[in] z angle in radians

Returns: sine of z

Definition at line 55 of file real.cpp.

nr_complex_t qucs::sin ( const nr_complex_t z )

Compute complex sine.

Parameters

[in] z complex angle

Returns: sine of z

Definition at line 66 of file complex.cpp.

vector qucs::sin ( vector )

Definition at line 448 of file vector.cpp.

vector qucs::sinc ( vector )

Definition at line 322 of file vector.cpp.

nr_double_t qucs::sinc ( const nr_double_t d )

Real cardinal sinus.

Compute $\mathrm{sinc}\;d=\frac{\sin d}{d}$

Parameters

[in] d real number

Returns: cardianal sinus of s

Todo:: Why not inline

Definition at line 397 of file real.cpp.

nr_complex_t qucs::sinc ( const nr_complex_t z )

Cardinal sine.

Compute $\mathrm{sinc}\;z=\frac{\sin z}{z}$

Parameters

[in] z complex number

Returns: cardianal sine of z

Definition at line 448 of file complex.cpp.

nr_double_t qucs::sinh ( const nr_double_t arg )

Compute hyperbolic sine.

Parameters

[in] z arc

Returns: hyperbolic sine of z

Definition at line 116 of file real.cpp.

nr_complex_t qucs::sinh ( const nr_complex_t z )

Compute complex hyperbolic sine.

Parameters

[in] z complex arc

Returns: hyperbolic sine of z

Definition at line 144 of file complex.cpp.

vector qucs::sinh ( vector )

Definition at line 496 of file vector.cpp.

static int qucs::sortfunc ( struct nodelist_t * n )

static

Definition at line 334 of file nodelist.cpp.

nr_double_t qucs::sqr ( const nr_double_t r )

Square a value.

Parameters

[in] r Real number

Returns

Definition at line 309 of file real.cpp.

vector qucs::sqr ( vector )

Definition at line 1046 of file vector.cpp.

unsigned int qucs::sqr ( unsigned int r )

Definition at line 313 of file real.cpp.

matvec qucs::sqr ( matvec a )

Definition at line 486 of file matvec.cpp.

matrix qucs::sqr ( matrix a )

Multiply a matrix by itself.

Parameters

[in] a matrix

Definition at line 592 of file matrix.cpp.

nr_complex_t qucs::sqr ( const nr_complex_t z )

Square of complex number.

Parameters

[in] z complex number

Returns: squared complex number

Definition at line 673 of file complex.cpp.

nr_double_t qucs::sqrt ( const nr_double_t d )

Definition at line 198 of file real.cpp.

nr_complex_t qucs::sqrt ( const nr_complex_t z )

Compute principal value of square root.

Compute the square root of a given complex number (except negative real), and with a branch cut along the negative real axis.

Parameters

[in] z complex number

Returns: principal value of square root z

Definition at line 271 of file complex.cpp.

vector qucs::sqrt ( vector )

Definition at line 371 of file vector.cpp.

vector qucs::step ( vector )

Definition at line 1052 of file vector.cpp.

nr_double_t qucs::step ( const nr_double_t d )

Heaviside step function.

The Heaviside step function, H, also called unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument. For zero by convention, H(0)=0.5

Parameters

[in] d Heaviside argument

Returns: Heaviside step

Todo:: Create Heaviside alias

Definition at line 429 of file real.cpp.

nr_complex_t qucs::step ( const nr_complex_t z )

Heaviside step function for complex number.

Apply Heaviside to real and imaginary part

Parameters

[in] z Heaviside argument

Returns: Heaviside step

Todo:

Create Heaviside alias

Why not using real heaviside

Definition at line 691 of file complex.cpp.

matrix qucs::stoa	(	matrix	s,
		nr_complex_t	z1,
		nr_complex_t	z2
	)

Converts chain matrix to scattering parameters.

Converts scattering parameters to chain matrix. Formulae are given by [5] tab 1. and are remembered here:

$\begin{align*} A&=\frac{(Z_{01}^*+S_{11}Z_{01})(1-S_{22}) +S_{12}S_{21}Z_{01}}{\Delta} \\ B&=\frac{(Z_{01}^*+S_{11}Z_{01})(Z_{02}^*+S_{22}Z_{02}) -S_{12}S_{21}Z_{01}Z_{02}}{\Delta} \\ C&=\frac{(1-S_{11})(1-S_{22}) -S_{12}S_{21}}{\Delta} \\ D&=\frac{(1-S_{11})(Z_{02}^*+S_{22}Z_{02}) +S_{12}S_{21}Z_{02}}{\Delta} \end{align*}$

Where:

$\Delta = 2 S_{21}\sqrt{\Re\text{e}\;Z_{01}\Re\text{e}\;Z_{02}}$

Bug:

Do not need fabs

Parameters

[in]	s	Scattering matrix
[in]	z1	impedance at input 1
[in]	z2	impedance at input 2

Returns: Chain matrix

Note: Assert 2 by 2 matrix

Todo:: Why not s,z1,z2 const

Definition at line 1181 of file matrix.cpp.

matrix qucs::stog	(	matrix	s,
		nr_complex_t	z1,
		nr_complex_t	z2
	)

Definition at line 1331 of file matrix.cpp.

matrix qucs::stoh	(	matrix	s,
		nr_complex_t	z1,
		nr_complex_t	z2
	)

Converts scattering parameters to hybrid matrix.

Converts chain matrix to scattering parameters Formulae are given by [5] and are remembered here:

$\begin{align*} h_{11}&=\frac{(Z_{01}^*+S_{11}Z_{01}) (Z_{02}^*+S_{22}Z_{02}) -S_{12}S_{21}Z_{01}Z_{02}}{\Delta}\\ h_{12}&=\frac{2S_{12} (\Re\text{e}\;Z_{01} \Re\text{e}\;Z_{02})^\frac{1}{2}} {\Delta} \\ h_{21}&=\frac{-2S_{21} (\Re\text{e}\;Z_{01} \Re\text{e}\;Z_{02})^\frac{1}{2}} {\Delta} \\ h_{22}&=\frac{(1-S_{11})(1-S_{22})-S_{12}S_{21}}{\Delta} \end{align*}$

Where $\Delta$ is:

$\Delta=(1-S_{11})(Z_{02}^*+S_{22}Z_{02})+S_{12}S_{21}Z_{02}$

Bug:

{Programmed formulae are valid only for Z real}

Parameters

[in]	s	Scattering matrix
[in]	z1	impedance at input 1
[in]	z2	impedance at input 2

Returns: hybrid matrix

Note: Assert 2 by 2 matrix

Todo:: Why not s,z1,z2 const

Definition at line 1269 of file matrix.cpp.

matvec qucs::stos	(	matvec	,
		vector	,
		nr_complex_t	z0 = `50.0`
	)

matvec qucs::stos	(	matvec	,
		nr_complex_t	,
		vector
	)

matvec qucs::stos	(	matvec	,
		vector	,
		vector
	)

matrix qucs::stos	(	matrix	,
		vector	,
		nr_complex_t	z0 = `50.0`
	)

matrix qucs::stos	(	matrix	,
		nr_complex_t	,
		vector
	)

matrix qucs::stos	(	matrix	,
		vector	,
		vector
	)

matvec qucs::stos	(	matvec	s,
		qucs::vector	zref,
		qucs::vector	z0
	)

Definition at line 565 of file matvec.cpp.

matvec qucs::stos	(	matvec	s,
		nr_complex_t	zref,
		nr_complex_t	z0
	)

Definition at line 574 of file matvec.cpp.

matvec qucs::stos	(	matvec	s,
		nr_double_t	zref,
		nr_double_t	z0
	)

Definition at line 579 of file matvec.cpp.

matvec qucs::stos	(	matvec	s,
		qucs::vector	zref,
		nr_complex_t	z0
	)

Definition at line 583 of file matvec.cpp.

matvec qucs::stos	(	matvec	s,
		nr_complex_t	zref,
		qucs::vector	z0
	)

Definition at line 587 of file matvec.cpp.

matrix qucs::stos	(	matrix	s,
		qucs::vector	zref,
		qucs::vector	z0
	)

S params to S params.

Convert scattering parameters with the reference impedance 'zref' to scattering parameters with the reference impedance 'z0'.

Detail are given in [1], under equation (32)

New scatering matrix $S'$ is:

$S'=A^{-1}(S-\Gamma^+)(I-\Gamma S)^{-1}A^+$

Where x^+ is the adjoint (or complex tranposate) of x, I the identity matrix and $A$ is diagonal the matrix such as: $\Gamma_i= r_i$ and $A$ the diagonal matrix such as:

$A_i = \frac{(1-r_i^*)\sqrt{|1-r_ir_i^*|}}{|1-r_i|}$

Where $x*$ is the complex conjugate of $x$ and $r_i$ is wave reflexion coefficient of $Z_i'$ with respect to $Z_i^*$ (where $Z_i'$ is the new impedance and $Z_i$ is the old impedance), ie:

$r_i = \frac{Z_i'-Z_i}{Z_i'-Z_i^*}$

Parameters

[in]	s	original S matrix
[in]	zref	original reference impedance
[in]	z0	new reference impedance

Bug:: This formula is valid only for real z!

Todo:

Correct documentation about standing waves [1-4]

Implement Speciale implementation [2-3] if applicable

Returns: Renormalized scattering matrix

s, zref and z0 const

Definition at line 890 of file matrix.cpp.

matrix qucs::stos	(	matrix	s,
		nr_complex_t	zref,
		nr_complex_t	z0
	)

S renormalization with all part identic.

Parameters

[in]	s	original S matrix
[in]	zref	original reference impedance
[in]	z0	new reference impedance

Todo:

Why not inline

Returns: Renormalized scattering matrix

s, zref and z0 const

Definition at line 910 of file matrix.cpp.

matrix qucs::stos	(	matrix	s,
		nr_double_t	zref,
		nr_double_t	z0
	)

S renormalization with all part identic and real.

Parameters

[in]	s	original S matrix
[in]	zref	original reference impedance
[in]	z0	new reference impedance

Todo:

Why not inline

Returns: Renormalized scattering matrix

s, zref and z0 const

Definition at line 923 of file matrix.cpp.

matrix qucs::stos	(	matrix	s,
		qucs::vector	zref,
		nr_complex_t	z0
	)

S renormalization (variation)

Parameters

[in]	s	original S matrix
[in]	zref	original reference impedance
[in]	z0	new reference impedance

Todo:

Why not inline

Returns: Renormalized scattering matrix

s, zref and z0 const

Definition at line 935 of file matrix.cpp.

matrix qucs::stos	(	matrix	s,
		nr_complex_t	zref,
		qucs::vector	z0
	)

S renormalization (variation)

Parameters

[in]	s	original S matrix
[in]	zref	original reference impedance
[in]	z0	new reference impedance

Todo:

Why not inline

s, zref and z0 const

Returns: Renormalized scattering matrix

Definition at line 947 of file matrix.cpp.

matvec qucs::stoy	(	matvec	,
		vector
	)

matrix qucs::stoy	(	matrix	,
		vector
	)

matvec qucs::stoy	(	matvec	s,
		qucs::vector	z0
	)

Definition at line 592 of file matvec.cpp.

matvec qucs::stoy	(	matvec	s,
		nr_complex_t	z0
	)

Definition at line 599 of file matvec.cpp.

matrix qucs::stoy	(	matrix	s,
		qucs::vector	z0
	)

Scattering parameters to admittance matrix.

Convert scattering parameters to admittance matrix. According to [1] eq (19):

$Z=F^{-1} (I- S)^{-1} (SG + G^+) F$

Where $S$ is the scattering matrix, $x^+$ is the adjoint of x, I the identity matrix. The matrix F and G are diagonal matrix defined by:

$\begin{align*} F_i&=\frac{1}{2\sqrt{\Re\text{e}\; Z_i}} \\ G_i&=Z_i \end{align*}$

Using the well know formula $(AB)^{-1}=B^{1}A^{1}$ , we derivate:

$Y=F^{-1} (SG+G^+)^{-1} (I-S) F$

Parameters

[in]	s	Scattering matrix
[in]	z0	Normalisation impedance

Note: We could safely drop the in because we compute $FXF^{-1}$ and therefore will simplify.

Bug:: not correct if zref is complex

Todo:

s and z0 const

Returns: Admittance matrix

Definition at line 1082 of file matrix.cpp.

matrix qucs::stoy	(	matrix	s,
		nr_complex_t	z0
	)

Convert scattering pto adminttance parameters identic case.

Parameters

[in]	S	Scattering matrix
[in]	z0	Normalisation impedance

Returns: Admittance matrix

Todo:

Why not inline

s and z0 const

Definition at line 1101 of file matrix.cpp.

matvec qucs::stoz	(	matvec	,
		vector
	)

matrix qucs::stoz	(	matrix	,
		vector
	)

matvec qucs::stoz	(	matvec	s,
		qucs::vector	z0
	)

Definition at line 616 of file matvec.cpp.

matvec qucs::stoz	(	matvec	s,
		nr_complex_t	z0
	)

Definition at line 623 of file matvec.cpp.

matrix qucs::stoz	(	matrix	s,
		qucs::vector	z0
	)

Scattering parameters to impedance matrix.

Convert scattering parameters to impedance matrix. According to [1] eq (19):

$Z=F^{-1} (I- S)^{-1} (SG + G^+) F$

Where $S$ is the scattering matrix, $x^+$ is the adjoint of x, I the identity matrix. The matrix F and G are diagonal matrix defined by:

$\begin{align*} F_i&=\frac{1}{2\sqrt{\Re\text{e}\; Z_i}} \\ G_i&=Z_i \end{align*}$

Parameters

[in]	s	Scattering matrix
[in]	z0	Normalisation impedance

Note: We could safely drop the in because we compute $FXF^{-1}$ and therefore will simplify.

Bug:: not correct if zref is complex

Todo:

s, z0 const

Returns: Impedance matrix

Definition at line 973 of file matrix.cpp.

matrix qucs::stoz	(	matrix	s,
		nr_complex_t	z0
	)

Scattering parameters to impedance matrix identic case.

Parameters

[in]	s	Scattering matrix
[in]	z0	Normalisation impedance

Returns: Impedance matrix

Todo:

Why not inline?

s and z0 const?

Definition at line 992 of file matrix.cpp.

nr_complex_t qucs::sum ( vector )

Definition at line 251 of file vector.cpp.

template<class nr_type_t >

nr_type_t qucs::sum ( tvector< nr_type_t > a )

Definition at line 299 of file tvector.cpp.

nr_double_t qucs::tan ( const nr_double_t arg )

Compute tangent of an angle.

Parameters

[in] z angle in radians

Returns: tangent of z

Definition at line 63 of file real.cpp.

nr_complex_t qucs::tan ( const nr_complex_t z )

Compute complex tangent.

Parameters

[in] z complex angle

Returns: tangent of z

Definition at line 75 of file complex.cpp.

vector qucs::tan ( vector )

Definition at line 472 of file vector.cpp.

nr_double_t qucs::tanh ( const nr_double_t arg )

Compute hyperbolic tangent.

Parameters

[in] z arc

Returns: hyperbolic tangent of z

Definition at line 124 of file real.cpp.

nr_complex_t qucs::tanh ( const nr_complex_t z )

Compute complex hyperbolic tangent.

Parameters

[in] z complex arc

Returns: hyperbolic tangent of z

Definition at line 153 of file complex.cpp.

vector qucs::tanh ( vector )

Definition at line 538 of file vector.cpp.

template<class nr_type_t >

tmatrix<nr_type_t> qucs::teye ( int n )

Definition at line 247 of file tmatrix.cpp.

matrix qucs::transpose ( matrix a )

Matrix transposition.

Parameters

[in] a Matrix to transpose

Todo:

add transpose in place

a is const

Definition at line 492 of file matrix.cpp.

matvec qucs::transpose ( matvec a )

Definition at line 557 of file matvec.cpp.

nr_double_t qucs::trunc ( nr_double_t arg )

Definition at line 264 of file real.cpp.

nr_complex_t qucs::trunc ( const nr_complex_t z )

Complex trunc Apply round to integer, towards zero to real and imaginary part.

Parameters

[in] z complex number

Returns: rounded complex number

Definition at line 512 of file complex.cpp.

matvec qucs::twoport	(	matvec	m,
		char	in,
		char	out
	)

Definition at line 658 of file matvec.cpp.

matrix qucs::twoport	(	matrix	m,
		char	in,
		char	out
	)

Generic conversion matrix.

This function converts 2x2 matrices from any of the matrix forms Y, Z, H, G and A to any other. Also converts S<->(A, T, H, Y and Z) matrices. Convertion assumed:

Y->Y, Y->Z, Y->H, Y->G, Y->A, Y->S, Z->Y, Z->Z, Z->H, Z->G, Z->A, Z->S, H->Y, H->Z, H->H, H->G, H->A, H->S, G->Y, G->Z, G->H, G->G, G->A, G->S, A->Y, A->Z, A->H, A->G, A->A, A->S, S->Y, S->Z, S->H, S->G, S->A, S->S, S->T,T->T,T->S

Note: assert 2x2 matrix

Parameters

[in]	m	base matrix
[in]	in	matrix
[in]	out	matrix

Returns: matrix given by format out

Todo:: m, in, out const

Definition at line 1594 of file matrix.cpp.

vector qucs::unwrap	(	vector	,
		nr_double_t	tol = `M_PI`,
		nr_double_t	step = `2 *M_PI`
	)

Definition at line 235 of file vector.cpp.

vector qucs::w2dbm ( vector )

Definition at line 1186 of file vector.cpp.

nr_double_t qucs::xhypot	(	const nr_double_t	a,
		const nr_double_t	b
	)

Euclidean distance function.

The xhypot() function returns $\sqrt{a^2+b^2}$ . This is the length of the hypotenuse of a right-angle triangle with sides of length a and b, or the distance of the point (a,b) from the origin.

Parameters

[in]	a	first length
[in]	b	second length

Returns: Euclidean distance from (0,0) to (a,b): $\sqrt{a^2+b^2}$

Definition at line 213 of file real.cpp.

vector qucs::xhypot	(	vector	,
		vector
	)

Definition at line 305 of file vector.cpp.

vector qucs::xhypot	(	vector	,
		const nr_complex_t
	)

Definition at line 281 of file vector.cpp.

vector qucs::xhypot	(	vector	,
		const nr_double_t
	)

Definition at line 287 of file vector.cpp.

vector qucs::xhypot	(	const nr_complex_t	,
		vector
	)

Definition at line 293 of file vector.cpp.

vector qucs::xhypot	(	const nr_double_t	,
		vector
	)

Definition at line 299 of file vector.cpp.

nr_double_t qucs::xhypot	(	const nr_complex_t	a,
		const nr_complex_t	b
	)

Euclidean distance function for complex argument.

The xhypot() function returns $\sqrt{a^2+b^2}$ . This is the length of the hypotenuse of a right-angle triangle with sides of length a and b, or the distance of the point (a,b) from the origin.

Parameters

[in]	a	first length
[in]	b	second length

Returns: Euclidean distance from (0,0) to (a,b): $\sqrt{a^2+b^2}$

Definition at line 465 of file complex.cpp.

nr_double_t qucs::xhypot	(	nr_double_t	a,
		nr_complex_t	b
	)

Euclidean distance function for a double b complex.

Definition at line 478 of file complex.cpp.

nr_double_t qucs::xhypot	(	nr_complex_t	a,
		nr_double_t	b
	)

Euclidean distance function for b double a complex.

Definition at line 484 of file complex.cpp.

vector qucs::yn	(	const int	,
		vector
	)

Definition at line 1120 of file vector.cpp.

nr_complex_t qucs::yn	(	const int	n,
		const nr_complex_t	z
	)

Bessel function of second kind.

Parameters

[in]	n	order
[in]	z	argument

Returns: Bessel function of second kind of order n

Bug:: Not implemented

Definition at line 742 of file complex.cpp.

vector qucs::ytor	(	vector	,
		nr_complex_t	zref = `50.0`
	)

Definition at line 570 of file vector.cpp.

nr_complex_t qucs::ytor	(	const nr_complex_t	y,
		nr_complex_t	zref
	)

Converts admittance to reflexion coefficient.

Parameters

[in]	y	admitance
[in]	zref	normalisation impedance

Returns: reflexion coefficient

Definition at line 599 of file complex.cpp.

matvec qucs::ytos	(	matvec	,
		vector
	)

matrix qucs::ytos	(	matrix	,
		vector
	)

matvec qucs::ytos	(	matvec	y,
		qucs::vector	z0
	)

Definition at line 604 of file matvec.cpp.

matvec qucs::ytos	(	matvec	y,
		nr_complex_t	z0
	)

Definition at line 611 of file matvec.cpp.

matrix qucs::ytos	(	matrix	y,
		qucs::vector	z0
	)

Admittance matrix to scattering parameters.

Convert admittance matrix to scattering parameters. Using the same methodology as [1] eq (16-19), but writing (16) as $i=Yv$ , ie

$S=F(I-G^+Y)(I-GY)^{-1}F^{-1}$

Where $S$ is the scattering matrix, $x^+$ is the adjoint of x, I the identity matrix. The matrix F and G are diagonal matrix defined by:

$\begin{align*} F_i&=\frac{1}{2\sqrt{\Re\text{e}\; Z_i}} \\ G_i&=Z_i \end{align*}$

Using the well know formula $(AB)^{-1}=B^{1}A^{1}$ , we derivate:

$Y=F^{-1} (SG+G^+)^{-1} (I-S) F$

Parameters

[in]	y	admittance matrix
[in]	z0	Normalisation impedance

Note: We could safely drop the in because we compute $FXF^{-1}$ and therefore will simplify.

Bug:: not correct if zref is complex

Todo:

why not y and z0 const

Returns: Scattering matrix

Definition at line 1133 of file matrix.cpp.

matrix qucs::ytos	(	matrix	y,
		nr_complex_t	z0
	)

Convert Admittance matrix to scattering parameters identic case.

Parameters

[in]	y	Admittance matrix
[in]	z0	Normalisation impedance

Returns: Scattering matrix

Todo:

Why not inline

y and z0 const

Definition at line 1151 of file matrix.cpp.

matvec qucs::ytoz ( matvec y )

Definition at line 648 of file matvec.cpp.

matrix qucs::ytoz ( matrix y )

Convert admittance matrix to impedance matrix.

Convert $Y$ matrix to $Z$ matrix using well known relation $Z=Y^{-1}$

Parameters

[in] y admittance matrix

Returns: Impedance matrix

Note: Check if y matrix is a square matrix

Todo:

Why not inline

y const

move near ztoy()

Definition at line 1380 of file matrix.cpp.

vector qucs::ztor	(	vector	,
		nr_complex_t	zref = `50.0`
	)

Definition at line 563 of file vector.cpp.

nr_complex_t qucs::ztor	(	const nr_complex_t	z,
		nr_complex_t	zref
	)

Converts impedance to reflexion coefficient.

Parameters

[in]	z	impedance
[in]	zref	normalisation impedance

Returns: reflexion coefficient

Definition at line 581 of file complex.cpp.

matvec qucs::ztos	(	matvec	,
		vector
	)

matrix qucs::ztos	(	matrix	,
		vector
	)

matvec qucs::ztos	(	matvec	z,
		qucs::vector	z0
	)

Definition at line 628 of file matvec.cpp.

matvec qucs::ztos	(	matvec	z,
		nr_complex_t	z0
	)

Definition at line 635 of file matvec.cpp.

matrix qucs::ztos	(	matrix	z,
		qucs::vector	z0
	)

Convert impedance matrix scattering parameters.

Convert scattering parameters to impedance matrix. According to [1] eq (18):

$S=F(Z-G^+)(Z+G)^{-1} F^{-1}$

Where $Z$ is the scattering matrix, $x^+$ is the adjoint of x, I the identity matrix. The matrix F and G are diagonal matrix defined by:

$\begin{align*} F_i&=\frac{1}{2\sqrt{\Re\text{e}\; Z_i}} \\ G_i&=Z_i \end{align*}$

Parameters

[in]	Z	Impedance matrix
[in]	z0	Normalisation impedance

Returns: Scattering matrix

Note: We could safely drop the in because we compute $FXF^{-1}$ and therefore will simplify.

Bug:: not correct if zref is complex

Todo:: z and z0 const?

Definition at line 1018 of file matrix.cpp.

matrix qucs::ztos	(	matrix	z,
		nr_complex_t	z0
	)

Convert impedance matrix to scattering parameters identic case.

Parameters

[in]	Z	Impedance matrix
[in]	z0	Normalisation impedance

Returns: Scattering matrix

Todo:

Why not inline

z and z0 const

Definition at line 1037 of file matrix.cpp.

matvec qucs::ztoy ( matvec z )

Definition at line 640 of file matvec.cpp.

matrix qucs::ztoy ( matrix z )

impedance matrix to admittance matrix.

Convert impedance matrix to admittance matrix. By definition $Y=Z^{-1}$

Parameters

[in] z impedance matrix

Returns: Admittance matrix

Todo:

Why not inline

z const

Definition at line 1050 of file matrix.cpp.

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