#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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Data Structures
struct	complex

Macros
#define	XMATH 1

#define	NULL ((void *)0

#define	CPX 1

Typedefs
typedef struct complex	Cpx

Functions
int	minv (double *a, int n)

int	psinv (double *v, int n)

int	ruinv (double *a, int n)

int	solv (double a, double b, int n)

int	solvps (double s, double x, int n)

int	solvru (double a, double b, int n)

void	solvtd (double a, double b, double c, double x, int m)

void	eigen (double a, double eval, int n)

void	eigval (double a, double eval, int n)

double	evmax (double a, double u, int n)

int	svdval (double d, double a, int m, int n)

int	sv2val (double d, double a, int m, int n)

int	svduv (double d, double a, double u, int m, double v, int n)

int	sv2uv (double d, double a, double u, int m, double v, int n)

int	svdu1v (double d, double a, int m, double *v, int n)

int	sv2u1v (double d, double a, int m, double *v, int n)

void	mmul (double mat, double a, double *b, int n)

void	rmmult (double mat, double a, double *b, int m, int k, int n)

void	vmul (double vp, double mat, double *v, int n)

double	vnrm (double u, double v, int n)

void	matprt (double a, int n, int m, char fmt)

void	fmatprt (FILE fp, double a, int n, int m, char *fmt)

void	trnm (double *a, int n)

void	mattr (double a, double b, int m, int n)

void	otrma (double at, double u, double *a, int n)

void	otrsm (double st, double u, double *s0, int n)

void	mcopy (double a, double b, int m)

void	ortho (double *evc, int n)

void	smgen (double a, double eval, double *evec, int n)

void	house (double a, double d, double *ud, int n)

void	housev (double a, double d, double *ud, int n)

int	qreval (double eval, double ud, int n)

int	qrevec (double eval, double evec, double *dp, int n)

int	qrbdi (double d, double e, int n)

int	qrbdv (double d, double e, double u, int m, double v, int n)

int	qrbdu1 (double d, double e, double u, int m, double v, int n)

void	ldumat (double a, double u, int m, int n)

void	ldvmat (double a, double v, int n)

void	atou1 (double *a, int m, int n)

void	atovm (double *v, int n)

int	cminv (Cpx *a, int n)

int	csolv (Cpx a, Cpx b, int n)

void	heigvec (Cpx a, double eval, int n)

void	heigval (Cpx a, double eval, int n)

double	hevmax (Cpx a, Cpx u, int n)

void	cmmul (Cpx c, Cpx a, Cpx *b, int n)

void	cmmult (Cpx c, Cpx a, Cpx *b, int m, int k, int n)

void	cvmul (Cpx vp, Cpx mat, Cpx *v, int n)

Cpx	cvnrm (Cpx u, Cpx v, int n)

void	cmprt (Cpx a, int n, int m, char fmt)

void	trncm (Cpx *a, int n)

void	hconj (Cpx *u, int n)

void	cmattr (Cpx a, Cpx b, int m, int n)

void	utrncm (Cpx at, Cpx u, Cpx *a, int n)

void	utrnhm (Cpx ht, Cpx u, Cpx *h0, int n)

void	cmcpy (Cpx a, Cpx b, int n)

void	unitary (Cpx *u, int n)

void	hmgen (Cpx h, double eval, Cpx *u, int n)

void	chouse (Cpx a, double d, double *ud, int n)

void	chousv (Cpx a, double d, double *ud, int n)

void	qrecvc (double eval, Cpx evec, double *ud, int n)

Macro Definition Documentation

◆ CPX

#define CPX 1

Definition at line 50 of file ccmath.h.

◆ NULL

#define NULL ((void *)0

Definition at line 32 of file ccmath.h.

◆ XMATH

#define XMATH 1

Definition at line 21 of file ccmath.h.

Typedef Documentation

◆ Cpx

typedef struct complex Cpx

Definition at line 41 of file ccmath.h.

Function Documentation

◆ atou1()

void atou1	(	double *	a,
		int	m,
		int	n
	)

Definition at line 9 of file atou1.c.

References free().

Referenced by sv2u1v(), and svdu1v().

◆ atovm()

void atovm	(	double *	v,
		int	n
	)

Definition at line 8 of file atovm.c.

Referenced by sv2u1v().

◆ chouse()

void chouse	(	Cpx *	a,
		double *	d,
		double *	ud,
		int	n
	)

Definition at line 12 of file chouse.c.

References free(), complex::im, complex::re, and x.

Referenced by heigval().

◆ chousv()

void chousv	(	Cpx *	a,
		double *	d,
		double *	ud,
		int	n
	)

Definition at line 12 of file chousv.c.

References free(), complex::im, complex::re, and x.

Referenced by heigvec().

◆ cmattr()

void cmattr	(	Cpx *	a,
		Cpx *	b,
		int	m,
		int	n
	)

Definition at line 11 of file cmattr.c.

References b.

◆ cmcpy()

void cmcpy	(	Cpx *	a,
		Cpx *	b,
		int	n
	)

Definition at line 11 of file cmcpy.c.

References b.

Referenced by hmgen().

◆ cminv()

int cminv	(	Cpx *	a,
		int	n
	)

Definition at line 12 of file cminv.c.

References free(), complex::im, ps, complex::re, and t.

◆ cmmul()

void cmmul	(	Cpx *	c,
		Cpx *	a,
		Cpx *	b,
		int	n
	)

Definition at line 11 of file cmmul.c.

References b, complex::im, complex::re, and trncm().

Referenced by hmgen().

◆ cmmult()

void cmmult	(	Cpx *	c,
		Cpx *	a,
		Cpx *	b,
		int	m,
		int	k,
		int	n
	)

Definition at line 12 of file cmmult.c.

References b, free(), complex::im, l, and complex::re.

◆ cmprt()

void cmprt	(	Cpx *	a,
		int	n,
		int	m,
		char *	fmt
	)

Definition at line 11 of file cmprt.c.

References complex::im, and complex::re.

◆ csolv()

int csolv	(	Cpx *	a,
		Cpx *	b,
		int	n
	)

Definition at line 12 of file csolv.c.

References b, free(), complex::im, ps, complex::re, and t.

◆ cvmul()

void cvmul	(	Cpx *	vp,
		Cpx *	mat,
		Cpx *	v,
		int	n
	)

Definition at line 11 of file cvmul.c.

References complex::im, and complex::re.

◆ cvnrm()

Cpx cvnrm	(	Cpx *	u,
		Cpx *	v,
		int	n
	)

Definition at line 26 of file cvmul.c.

References complex::im, and complex::re.

◆ eigen()

void eigen	(	double *	a,
		double *	eval,
		int	n
	)

Definition at line 10 of file eigen.c.

References free(), housev(), qrevec(), and trnm().

Referenced by G_math_eigen().

◆ eigval()

void eigval	(	double *	a,
		double *	eval,
		int	n
	)

Definition at line 10 of file eigval.c.

References free(), house(), and qreval().

Referenced by G_math_eigval().

◆ evmax()

double evmax	(	double *	a,
		double *	u,
		int	n
	)

Definition at line 10 of file evmax.c.

References free(), r, and t.

Referenced by G_math_evmax().

◆ fmatprt()

void fmatprt	(	FILE *	fp,
		double *	a,
		int	n,
		int	m,
		char *	fmt
	)

Definition at line 24 of file matprt.c.

◆ hconj()

void hconj	(	Cpx *	u,
		int	n
	)

Definition at line 11 of file hconj.c.

References complex::im, and complex::re.

Referenced by heigvec(), and hmgen().

◆ heigval()

void heigval	(	Cpx *	a,
		double *	eval,
		int	n
	)

Definition at line 12 of file heigval.c.

References chouse(), free(), and qreval().

◆ heigvec()

void heigvec	(	Cpx *	a,
		double *	eval,
		int	n
	)

Definition at line 12 of file heigvec.c.

References chousv(), free(), hconj(), and qrecvc().

◆ hevmax()

double hevmax	(	Cpx *	a,
		Cpx *	u,
		int	n
	)

Definition at line 12 of file hevmax.c.

References free(), complex::im, complex::re, t, and x.

◆ hmgen()

void hmgen	(	Cpx *	h,
		double *	eval,
		Cpx *	u,
		int	n
	)

Definition at line 12 of file hmgen.c.

References cmcpy(), cmmul(), free(), hconj(), complex::im, and complex::re.

◆ house()

void house	(	double *	a,
		double *	d,
		double *	ud,
		int	n
	)

Definition at line 10 of file house.c.

References free(), and x.

Referenced by eigval().

◆ housev()

void housev	(	double *	a,
		double *	d,
		double *	ud,
		int	n
	)

Definition at line 10 of file housev.c.

References free(), and x.

Referenced by eigen().

◆ ldumat()

void ldumat	(	double *	a,
		double *	u,
		int	m,
		int	n
	)

Definition at line 9 of file ldumat.c.

References free().

Referenced by sv2uv(), and svduv().

◆ ldvmat()

void ldvmat	(	double *	a,
		double *	v,
		int	n
	)

Definition at line 8 of file ldvmat.c.

Referenced by sv2uv(), svdu1v(), and svduv().

◆ matprt()

void matprt	(	double *	a,
		int	n,
		int	m,
		char *	fmt
	)

Definition at line 11 of file matprt.c.

◆ mattr()

void mattr	(	double *	a,
		double *	b,
		int	m,
		int	n
	)

Definition at line 8 of file mattr.c.

References b.

◆ mcopy()

void mcopy	(	double *	a,
		double *	b,
		int	m
	)

Definition at line 8 of file mcopy.c.

References b.

◆ minv()

int minv	(	double *	a,
		int	n
	)

Definition at line 10 of file minv.c.

References free(), malloc(), ps, and t.

Referenced by G_math_minv().

◆ mmul()

void mmul	(	double *	mat,
		double *	a,
		double *	b,
		int	n
	)

Definition at line 9 of file mmul.c.

References b, and trnm().

◆ ortho()

void ortho	(	double *	evc,
		int	n
	)

Definition at line 11 of file ortho.c.

References unfl().

◆ otrma()

void otrma	(	double *	at,
		double *	u,
		double *	a,
		int	n
	)

Definition at line 9 of file otrma.c.

References b, free(), and t.

◆ otrsm()

void otrsm	(	double *	st,
		double *	u,
		double *	s0,
		int	n
	)

Definition at line 9 of file otrsm.c.

References b, free(), and t.

◆ psinv()

int psinv	(	double *	v,
		int	n
	)

Definition at line 9 of file psinv.c.

References r, t, and trnm().

Referenced by G_math_psinv().

◆ qrbdi()

int qrbdi	(	double *	d,
		double *	e,
		int	n
	)

Definition at line 9 of file qrbdi.c.

References b, t, and x.

Referenced by sv2val(), and svdval().

◆ qrbdu1()

int qrbdu1	(	double *	d,
		double *	e,
		double *	u,
		int	m,
		double *	v,
		int	n
	)

Definition at line 9 of file qrbdu1.c.

References b, t, and x.

Referenced by sv2u1v(), and svdu1v().

◆ qrbdv()

int qrbdv	(	double *	d,
		double *	e,
		double *	u,
		int	m,
		double *	v,
		int	n
	)

Definition at line 9 of file qrbdv.c.

References b, t, and x.

Referenced by sv2uv(), and svduv().

◆ qrecvc()

void qrecvc	(	double *	eval,
		Cpx *	evec,
		double *	ud,
		int	n
	)

Definition at line 11 of file qrecvc.c.

References complex::im, complex::re, and x.

Referenced by heigvec().

◆ qreval()

int qreval	(	double *	eval,
		double *	ud,
		int	n
	)

Definition at line 9 of file qreval.c.

References x.

Referenced by eigval(), and heigval().

◆ qrevec()

int qrevec	(	double *	eval,
		double *	evec,
		double *	dp,
		int	n
	)

Definition at line 9 of file qrevec.c.

References x.

Referenced by eigen().

◆ rmmult()

void rmmult	(	double *	mat,
		double *	a,
		double *	b,
		int	m,
		int	k,
		int	n
	)

Definition at line 9 of file rmmult.c.

References b, free(), and l.

◆ ruinv()

int ruinv	(	double *	a,
		int	n
	)

Definition at line 8 of file ruinv.c.

References r, and t.

Referenced by G_math_ruinv().

◆ smgen()

void smgen	(	double *	a,
		double *	eval,
		double *	evec,
		int	n
	)

Definition at line 8 of file smgen.c.

References ps, r, and t.

◆ solv()

int solv	(	double *	a,
		double *	b,
		int	n
	)

Definition at line 10 of file solv.c.

References b, free(), ps, and t.

Referenced by G_math_solv().

◆ solvps()

int solvps	(	double *	s,
		double *	x,
		int	n
	)

Definition at line 9 of file solvps.c.

References b, r, and t.

Referenced by G_math_solvps().

◆ solvru()

int solvru	(	double *	a,
		double *	b,
		int	n
	)

Definition at line 8 of file solvru.c.

References b, and t.

Referenced by G_math_solvru().

◆ solvtd()

void solvtd	(	double *	a,
		double *	b,
		double *	c,
		double *	x,
		int	m
	)

Definition at line 8 of file solvtd.c.

References b, and x.

Referenced by G_math_solvtd().

◆ sv2u1v()

int sv2u1v	(	double *	d,
		double *	a,
		int	m,
		double *	v,
		int	n
	)

Definition at line 10 of file sv2u1v.c.

References atou1(), atovm(), free(), qrbdu1(), r, and t.

◆ sv2uv()

int sv2uv	(	double *	d,
		double *	a,
		double *	u,
		int	m,
		double *	v,
		int	n
	)

Definition at line 10 of file sv2uv.c.

References free(), ldumat(), ldvmat(), qrbdv(), r, and t.

Referenced by G_math_sv2uv().

◆ sv2val()

int sv2val	(	double *	d,
		double *	a,
		int	m,
		int	n
	)

Definition at line 10 of file sv2val.c.

References free(), and qrbdi().

Referenced by G_math_sv2val().

◆ svdu1v()

int svdu1v	(	double *	d,
		double *	a,
		int	m,
		double *	v,
		int	n
	)

Definition at line 10 of file svdu1v.c.

References atou1(), free(), ldvmat(), qrbdu1(), r, and t.

Referenced by G_math_svdu1v().

◆ svduv()

int svduv	(	double *	d,
		double *	a,
		double *	u,
		int	m,
		double *	v,
		int	n
	)

Definition at line 10 of file svduv.c.

References free(), ldumat(), ldvmat(), qrbdv(), r, and t.

Referenced by G_math_svduv().

◆ svdval()

int svdval	(	double *	d,
		double *	a,
		int	m,
		int	n
	)

Definition at line 10 of file svdval.c.

References free(), and qrbdi().

Referenced by G_math_svdval().

◆ trncm()

void trncm	(	Cpx *	a,
		int	n
	)

Definition at line 11 of file trncm.c.

Referenced by cmmul().

◆ trnm()

void trnm	(	double *	a,
		int	n
	)

Definition at line 8 of file trnm.c.

Referenced by eigen(), mmul(), and psinv().

◆ unitary()

void unitary	(	Cpx *	u,
		int	n
	)

Definition at line 18 of file unitary.c.

References free(), g, complex::im, r, complex::re, and unfl().

◆ utrncm()

void utrncm	(	Cpx *	at,
		Cpx *	u,
		Cpx *	a,
		int	n
	)

Definition at line 12 of file utrncm.c.

References b, free(), complex::im, complex::re, and t.

◆ utrnhm()

void utrnhm	(	Cpx *	ht,
		Cpx *	u,
		Cpx *	h0,
		int	n
	)

Definition at line 12 of file utrnhm.c.

References b, free(), complex::im, complex::re, and t.

◆ vmul()

void vmul	(	double *	vp,
		double *	mat,
		double *	v,
		int	n
	)

Definition at line 8 of file vmul.c.

◆ vnrm()

double vnrm	(	double *	u,
		double *	v,
		int	n
	)

Definition at line 21 of file vmul.c.

Data Structures

Macros

Typedefs

Functions

Macro Definition Documentation

◆ CPX

◆ NULL

◆ XMATH

Typedef Documentation

◆ Cpx

Function Documentation

◆ atou1()

◆ atovm()

◆ chouse()

◆ chousv()

◆ cmattr()

◆ cmcpy()

◆ cminv()

◆ cmmul()

◆ cmmult()

◆ cmprt()

◆ csolv()

◆ cvmul()

◆ cvnrm()

◆ eigen()

◆ eigval()

◆ evmax()

◆ fmatprt()

◆ hconj()

◆ heigval()

◆ heigvec()

◆ hevmax()

◆ hmgen()

◆ house()

◆ housev()

◆ ldumat()

◆ ldvmat()

◆ matprt()

◆ mattr()

◆ mcopy()

◆ minv()

◆ mmul()

◆ ortho()

◆ otrma()

◆ otrsm()

◆ psinv()

◆ qrbdi()

◆ qrbdu1()

◆ qrbdv()

◆ qrecvc()

◆ qreval()

◆ qrevec()

◆ rmmult()

◆ ruinv()

◆ smgen()

◆ solv()

◆ solvps()

◆ solvru()

◆ solvtd()

◆ sv2u1v()

◆ sv2uv()

◆ sv2val()

◆ svdu1v()

◆ svduv()

◆ svdval()

◆ trncm()

◆ trnm()

◆ unitary()

◆ utrncm()

◆ utrnhm()

◆ vmul()

◆ vnrm()