LORENE
ope_sec_order_r2_mat.C
1/*
2 * Copyright (c) 2003 Philippe Grandclement
3 *
4 * This file is part of LORENE.
5 *
6 * LORENE is free software; you can redistribute it and/or modify
7 * it under the terms of the GNU General Public License version 2
8 * as published by the Free Software Foundation.
9 *
10 * LORENE is distributed in the hope that it will be useful,
11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 * GNU General Public License for more details.
14 *
15 * You should have received a copy of the GNU General Public License
16 * along with LORENE; if not, write to the Free Software
17 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
18 *
19 */
20
21char ope_sec_order_r2_mat_C[] = "$Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_sec_order_r2/ope_sec_order_r2_mat.C,v 1.3 2014/10/13 08:53:36 j_novak Exp $" ;
22
23/*
24 * $Id: ope_sec_order_r2_mat.C,v 1.3 2014/10/13 08:53:36 j_novak Exp $
25 * $Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_sec_order_r2/ope_sec_order_r2_mat.C,v 1.3 2014/10/13 08:53:36 j_novak Exp $
26 *
27 */
28#include <cmath>
29#include <cstdlib>
30
31#include "proto.h"
32#include "ope_elementary.h"
33
34
35 //-----------------------------------
36 // Routine pour les cas non prevus --
37 //-----------------------------------
38
39namespace Lorene {
40Matrice _sec_order_r2_mat_pas_prevu(int, double, double, double,
41 double, double) {
42 cout << "Sec_order_r2 : base not implemented..." << endl ;
43 abort() ;
44 exit(-1) ;
45 Matrice res(1, 1) ;
46 return res;
47}
48
49
50
51 //-------------------------
52 //-- CAS R_CHEB -----
53 //------------------------
54
55Matrice _sec_order_r2_mat_r_cheb (int n, double alpha, double beta,
56 double a, double b, double c) {
57
58 double echelle = beta / alpha ;
59
60 double* vect = new double[n] ;
61 double* auxi = new double[n] ;
62 double* res = new double[n] ;
63
64 Matrice dd (n,n) ;
65 dd.set_etat_qcq() ;
66 Matrice df (n,n) ;
67 df.set_etat_qcq() ;
68 Matrice ff (n,n) ;
69 ff.set_etat_qcq() ;
70
71
72 // Calcul terme en R2 d^2...
73 for (int i=0 ; i<n ; i++) {
74 for (int j=0 ; j<n ; j++)
75 vect[j] = 0 ;
76 vect[i] = 1 ;
77
78 d2sdx2_1d (n, &vect, R_CHEB) ; // appel dans le cas fin
79
80 for (int j=0 ; j<n ; j++)
81 auxi[j] = vect[j] ;
82 multx_1d (n, &auxi, R_CHEB) ;
83 multx_1d (n, &auxi, R_CHEB) ;
84 for (int j=0 ; j<n ; j++)
85 res[j] = auxi[j] ;
86
87 for (int j=0 ; j<n ; j++)
88 auxi[j] = vect[j] ;
89 multx_1d (n, &auxi, R_CHEB) ;
90 for (int j=0 ; j<n ; j++)
91 res[j] += auxi[j]*2*echelle ;
92
93 for (int j=0 ; j<n ; j++)
94 res[j] += echelle*echelle*vect[j] ;
95
96 for (int j=0 ; j<n ; j++)
97 dd.set(j,i) = res[j] ;
98 }
99
100 // Calcul terme en R d...
101 for (int i=0 ; i<n ; i++) {
102 for (int j=0 ; j<n ; j++)
103 vect[j] = 0 ;
104 vect[i] = 1 ;
105
106 sxdsdx_1d (n, &vect, R_CHEB) ; // appel dans le cas fin
107
108 for (int j=0 ; j<n ; j++)
109 auxi[j] = vect[j] ;
110 multx_1d (n, &auxi, R_CHEB) ;
111 for (int j=0 ; j<n ; j++)
112 res[j] = auxi[j] ;
113
114 for (int j=0 ; j<n ; j++)
115 res[j] += echelle*vect[j] ;
116
117 for (int j=0 ; j<n ; j++)
118 df.set(j,i) = res[j] ;
119 }
120
121 // Calcul terme en R d...
122 for (int i=0 ; i<n ; i++) {
123 for (int j=0 ; j<n ; j++)
124 ff.set(j,i) = 0 ;
125 ff.set(i,i) = 1 ;
126 }
127
128 delete [] vect ;
129 delete [] auxi ;
130 delete [] res ;
131
132 return a*dd+b*df+c*ff ;
133}
134
136 if (ope_mat != 0x0)
137 delete ope_mat ;
138
139 // Routines de derivation
141 double, double);
142 static int nap = 0 ;
143
144 // Premier appel
145 if (nap==0) {
146 nap = 1 ;
147 for (int i=0 ; i<MAX_BASE ; i++) {
148 sec_order_r2_mat[i] = _sec_order_r2_mat_pas_prevu ;
149 }
150 // Les routines existantes
151 sec_order_r2_mat[R_CHEB >> TRA_R] = _sec_order_r2_mat_r_cheb ;
152 }
154 b_param, c_param)) ;
155}
156}
Time evolution with partial storage (*** under development ***).
Definition evolution.h:371
Matrix handling.
Definition matrice.h:152
Matrice * ope_mat
Pointer on the matrix representation of the operator.
double beta
Parameter of the associated mapping.
double alpha
Parameter of the associated mapping.
int base_r
Radial basis of decomposition.
int nr
Number of radial points.
virtual void do_ope_mat() const
Computes the matrix of the operator.
double b_param
The parameter b .
double a_param
The parameter a .
double c_param
The parameter c .
#define MAX_BASE
Nombre max. de bases differentes.
#define TRA_R
Translation en R, used for a bitwise shift (in hex)
#define R_CHEB
base de Chebychev ordinaire (fin)
Lorene prototypes.
Definition app_hor.h:64