ut_math.c File Reference

Math UTM_. More...

#include "../xa/MS_Def0.h"
#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include "../ut/ut_geo.h"
#include "ut_math.h"

Defines
#define	MAX_FRESNEL   0.00001
Functions
int	UTM_geomSeq_solv (int mode, double *a, double *ae, double *q, int *n)
int	UTM_zeros_cubicpol (dcomplex zero[], int zmult[], polcoeff_d3 *pol)
int	UTM_zeros_quarticpol (dcomplex zero[], polcoeff_d4 *pol)
dcomplex	UTM_cx_alg2pol (dcomplex *cx)
dcomplex	UTM_cx_pol2alg (dcomplex *cx)
dcomplex	UTM_cx_root (dcomplex *cx)
int	UTM_sign_3cx (dcomplex *cx1, dcomplex *cx2, dcomplex *cx3, double q)
dcomplex	UTM_cx_cxaddcx (dcomplex *cx1, dcomplex *cx2)
dcomplex	UTM_cx_cxsubtcx (dcomplex *cx1, dcomplex *cx2)
dcomplex	UTM_cx_cxmultcx (dcomplex *cx1, dcomplex *cx2)
int	UTM_scale_4db (double *scf, double *d1, double *d2, double *d3, double *d4, double lim)
double	UTM_db_bincoeff (long n, long k)
double	UTM_db_binquot (long n, long i, long j)
int	UTM_pol_polmultpol (double *polm, int deg1, double *pol1, int deg2, double *pol2)
int	UTM_pol_Bernstein (Polynom_ *polB)
int	UTM_mat_CholFact (double *w, int nbands, int nrow, double *diag)
int	UTM_mat_solveChol (double *b, double *w, int nbands, int nrow)
int	UTM_SolLinEquSys (double *vloes, int anz_var, double *mata, double *matb)
int	UMT_FresnelIntgls (double *fci, double *fsi, double t1, double t2)

---

Detailed Description

Math UTM_.

=====================================================
Liste_Funktionen_Beginn:

UTM_mat_CholFact        Cholesky-factorization of matrix
UTM_mat_solveChol       solve Cholesky linear system
UTM_SolLinEquSys        Solve <-- linear equation system
UMT_FresnelIntgls       Fresnel integrals <-- two parameters
UTM_geomSeq_solv        Solve geometr. Reihe ae = a + a*q + a*q^2 + .. + a*q^n


-------------- polynoms ----------------------------------
UTM_zeros_cubicpol        Zeros of a cubic polynomial.
UTM_zeros_quarticpol      Zeros of a quartic polynomial. 
UTM_pol_polmultpol        multiply two polynomials
UTM_pol_Bernstein         compute Bernstein polynomials


-------------- complex numbers ---------------------------
UTM_cx_alg2pol            Complex algebraic to polar.
UTM_cx_cxaddcx            Complex addition.
UTM_cx_cxmultcx           Complex multiplication.
UTM_cx_cxsubtcx           Complex subtraction.
UTM_cx_pol2alg            Complex polar to algebraic.
UTM_cx_root               Complex root.
UTM_sign_3cx              Sign 3 complex numbers.

-------------- double numbers ----------------------------
UTM_db_bincoeff           compute binomial coefficient
UTM_db_binquot            compute binomial quotient
UTM_scale_4db             Scale down 4 double numbers

Liste_Funktionen_Ende:
=====================================================

---

Define Documentation

#define MAX_FRESNEL   0.00001

---

Function Documentation

int UTM_geomSeq_solv	(	int	mode,
		double *	a,
		double *	ae,
		double *	q,
		int *	n
	)

int UTM_zeros_cubicpol	(	dcomplex	zero[],
		int	zmult[],
		polcoeff_d3 *	pol
	)

int UTM_zeros_quarticpol	(	dcomplex	zero[],
		polcoeff_d4 *	pol
	)

dcomplex UTM_cx_alg2pol

(

dcomplex *

cx

)

dcomplex UTM_cx_pol2alg

(

dcomplex *

cx

)

dcomplex UTM_cx_root

(

dcomplex *

cx

)

int UTM_sign_3cx	(	dcomplex *	cx1,
		dcomplex *	cx2,
		dcomplex *	cx3,
		double	q
	)

dcomplex UTM_cx_cxaddcx	(	dcomplex *	cx1,
		dcomplex *	cx2
	)

dcomplex UTM_cx_cxsubtcx	(	dcomplex *	cx1,
		dcomplex *	cx2
	)

dcomplex UTM_cx_cxmultcx	(	dcomplex *	cx1,
		dcomplex *	cx2
	)

int UTM_scale_4db	(	double *	scf,
		double *	d1,
		double *	d2,
		double *	d3,
		double *	d4,
		double	lim
	)

double UTM_db_bincoeff	(	long	n,
		long	k
	)

double UTM_db_binquot	(	long	n,
		long	i,
		long	j
	)

int UTM_pol_polmultpol	(	double *	polm,
		int	deg1,
		double *	pol1,
		int	deg2,
		double *	pol2
	)

int UTM_pol_Bernstein

(

Polynom_ *

polB

)

int UTM_mat_CholFact	(	double *	w,
		int	nbands,
		int	nrow,
		double *	diag
	)

int UTM_mat_solveChol	(	double *	b,
		double *	w,
		int	nbands,
		int	nrow
	)

int UTM_SolLinEquSys	(	double *	vloes,
		int	anz_var,
		double *	mata,
		double *	matb
	)

int UMT_FresnelIntgls	(	double *	fci,
		double *	fsi,
		double	t1,
		double	t2
	)