ccmath.h

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/*  ccmath.h    CCMATH mathematics library source code.
 *
 *  Copyright (C)  2000   Daniel A. Atkinson    All rights reserved.
 *  This code may be redistributed under the terms of the GNU library
 *  public license (LGPL). ( See the lgpl.license file for details.)
 *
 * Modified by Soeren gebbert 2009/01/08
 * Removed al unused functions in GRASS. Only the linear algebra
 * functions are used. 
 * ------------------------------------------------------------------------
 */
/*
                               CCM

                Numerical Analysis Toolkit Header File
                      ELF Shared Library Version
*/
               /* Required for Shared Library */
#ifndef _CCMATH_H_
#define _CCMATH_H_
#define XMATH 1

          /* Define File Pointers and Standard Library */

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

               /* Definitions of Types */

#ifndef NULL
#define NULL ((void *)0
#endif

               /* Complex Types */

#ifndef CPX
struct complex {double re,im;};
typedef struct complex Cpx;
#define CPX  1
#endif

/*   Linear Algebra     */


 /* Real Linear Systems */


     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) ;

   /* utility routines for real symmertic eigensystems */

     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) ;

   /* utility routines for singular value decomposition */

     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) ;


 /* Complex Matrix Algebra */


     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) ;


   /* utility routines for hermitian eigen problems */

     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) ;
#endif