LORENE
multx_1d.C
1/*
2 * Copyright (c) 1999-2001 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 as published by
8 * the Free Software Foundation; either version 2 of the License, or
9 * (at your option) any later version.
10 *
11 * LORENE is distributed in the hope that it will be useful,
12 * but WITHOUT ANY WARRANTY; without even the implied warranty of
13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 * GNU General Public License for more details.
15 *
16 * You should have received a copy of the GNU General Public License
17 * along with LORENE; if not, write to the Free Software
18 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
19 *
20 */
21
22
23char multx_1d_C[] = "$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Operators/multx_1d.C,v 1.5 2015/03/05 08:49:32 j_novak Exp $" ;
24
25/*
26 * $Id: multx_1d.C,v 1.5 2015/03/05 08:49:32 j_novak Exp $
27 * $Log: multx_1d.C,v $
28 * Revision 1.5 2015/03/05 08:49:32 j_novak
29 * Implemented operators with Legendre bases.
30 *
31 * Revision 1.4 2014/10/13 08:53:24 j_novak
32 * Lorene classes and functions now belong to the namespace Lorene.
33 *
34 * Revision 1.3 2014/10/06 15:16:06 j_novak
35 * Modified #include directives to use c++ syntax.
36 *
37 * Revision 1.2 2002/10/16 14:36:58 j_novak
38 * Reorganization of #include instructions of standard C++, in order to
39 * use experimental version 3 of gcc.
40 *
41 * Revision 1.1.1.1 2001/11/20 15:19:29 e_gourgoulhon
42 * LORENE
43 *
44 * Revision 2.1 1999/07/08 09:54:30 phil
45 * correction gestion memoire
46 *
47 * Revision 2.0 1999/07/07 10:15:40 phil
48 * *** empty log message ***
49 *
50 *
51 * $Header: /cvsroot/Lorene/C++/Source/Non_class_members/Operators/multx_1d.C,v 1.5 2015/03/05 08:49:32 j_novak Exp $
52 *
53 */
54
55
56 // Includes
57#include <cstdlib>
58#include <cassert>
59
60#include "headcpp.h"
61#include "type_parite.h"
62
63
64/*
65 * Operateurs de multiplication par x
66 *
67 * Uniquement le cas R_CHEB
68 *
69 * Entree :
70 *
71 * int nr : nombre de points en r
72 * tb contient les coefficients du developpement
73 * evenetuellement e dans echelle
74 *
75 * Sortie :
76 * tb contient les coefficients du resultat...
77 */
78
79
80 //--------------------------------------
81 // Routine pour les cas non prevus -----
82 //--------------------------------------
83
84namespace Lorene {
85void _multx_1d_pas_prevu(int nr, double* tb, double *result) {
86 cout << "multx pas prevu..." << endl ;
87 cout << "Valeurs : " << tb << " " << result << endl ;
88 cout << " nr : " << nr << endl ;
89 abort() ;
90 exit(-1) ;
91}
92
93
94 //------------------
95 // cas R_CHEB ---
96 //------------------
97
98void _multx_1d_r_cheb (int nr, double* tb, double* res) {
99
100 res[0] = tb[1]/2. ;
101 res[1] = (2*tb[0]+tb[2])/2. ;
102 res[nr-1] = tb[nr-2]/2. ;
103
104 for (int i=2 ; i<nr-1 ; i++)
105 res[i] = (tb[i-1]+tb[i+1])/2. ;
106
107}
108
109
110 //----------------
111 // cas R_LEG ---
112 //----------------
113
114void _multx_1d_r_leg (int nr, double* tb, double* res) {
115
116 assert(nr > 1) ;
117 res[0] = tb[1]/3. ;
118 res[1] = tb[0]+0.4*tb[2] ;
119 res[nr-1] = double(nr-1)*tb[nr-2]/double(2*nr-3) ;
120
121 for (int i=2 ; i<nr-1 ; i++)
122 res[i] = double(i)*tb[i-1]/double(2*i-1)
123 + double(i+1)*tb[i+1]/double(2*i+3) ;
124
125}
126
127
128
129 // ----------------------
130 // La routine a appeler
131 //-----------------------
132
133void multx_1d(int nr, double **tb, int base_r)
134{
135
136 // Routines de derivation
137 static void (*multx_1d[MAX_BASE])(int, double *, double *) ;
138 static int nap = 0 ;
139
140 // Premier appel
141 if (nap==0) {
142 nap = 1 ;
143 for (int i=0 ; i<MAX_BASE ; i++) {
144 multx_1d[i] = _multx_1d_pas_prevu ;
145 }
146 // Les routines existantes
147 multx_1d[R_CHEB >> TRA_R] = _multx_1d_r_cheb ;
148 multx_1d[R_LEG >> TRA_R] = _multx_1d_r_leg ;
149 }
150
151
152 double *result = new double[nr] ;
153 multx_1d[base_r](nr, *tb, result) ;
154 delete [] (*tb) ;
155 (*tb) = result ;
156}
157
158}
#define MAX_BASE
Nombre max. de bases differentes.
#define R_LEG
base de Legendre ordinaire (fin)
#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