LORENE
et_bin_bhns_extr_phi.C
1/*
2 * Method of class Et_bin_bhns_extr to search the position of the longest
3 * radius from the position of the maximum enthalpy
4 * The code returns the position of "phi" only because "xi=1" and
5 * "theta=pi/2".
6 *
7 * (see file et_bin_bhns_extr.h for documentation).
8 *
9 */
10
11/*
12 * Copyright (c) 2004 Keisuke Taniguchi
13 *
14 * This file is part of LORENE.
15 *
16 * LORENE is free software; you can redistribute it and/or modify
17 * it under the terms of the GNU General Public License version 2
18 * as published by the Free Software Foundation.
19 *
20 * LORENE is distributed in the hope that it will be useful,
21 * but WITHOUT ANY WARRANTY; without even the implied warranty of
22 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
23 * GNU General Public License for more details.
24 *
25 * You should have received a copy of the GNU General Public License
26 * along with LORENE; if not, write to the Free Software
27 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
28 *
29 */
30
31char et_bin_bhns_extr_phi_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_bhns_extr_phi.C,v 1.3 2014/10/13 08:52:55 j_novak Exp $" ;
32
33/*
34 * $Id: et_bin_bhns_extr_phi.C,v 1.3 2014/10/13 08:52:55 j_novak Exp $
35 * $Log: et_bin_bhns_extr_phi.C,v $
36 * Revision 1.3 2014/10/13 08:52:55 j_novak
37 * Lorene classes and functions now belong to the namespace Lorene.
38 *
39 * Revision 1.2 2014/10/06 15:13:08 j_novak
40 * Modified #include directives to use c++ syntax.
41 *
42 * Revision 1.1 2004/11/30 20:50:48 k_taniguchi
43 * *** empty log message ***
44 *
45 *
46 * $Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_bhns_extr_phi.C,v 1.3 2014/10/13 08:52:55 j_novak Exp $
47 *
48 */
49
50// C headers
51#include <cmath>
52
53// Lorene headers
54#include "et_bin_bhns_extr.h"
55#include "utilitaires.h"
56
57namespace Lorene {
58double Et_bin_bhns_extr::phi_longest_rad(double x_max, double y_max) const {
59
60 //----------------------------------------------------------------//
61 // Construct the surface function S(theta, phi) //
62 //----------------------------------------------------------------//
63
64 // The following is required to access functions of Map_et
65 Map_et& mp_et = dynamic_cast<Map_et&>(mp) ;
66
67 const Valeur& ff0 = mp_et.get_ff() ;
68 const Valeur& gg0 = mp_et.get_gg() ;
69
70 Valeur fff = ff0 ;
71 Valeur ggg = gg0 ;
72 Valeur dff = fff.dsdp() ;
73 Valeur dgg = ggg.dsdp() ;
74
75 double ppp = M_PI/2. ; // Initial position of the phi-coordinate
76 double ptmp ;
77 int mm ; // Number of steps to the phi-direction
78 double dp = 1. ; // Step interval to the phi-direction, initialized to 1
79 double diff ;
80 double diff_prev ;
81 double ss ;
82
83 while ( dp > 1.e-15 ) {
84
85 diff = 1. ;
86 mm = 0 ;
87 dp = 0.1 * dp ;
88
89 diff_prev = ( dff.val_point(0,1.,M_PI/2.,ppp)
90 + dgg.val_point(0,1.,M_PI/2.,ppp) )
91 * ( 1. + ff0.val_point(0,1.,M_PI/2.,ppp)
92 + gg0.val_point(0,1.,M_PI/2.,ppp)
93 - x_max * cos(ppp) - y_max * sin(ppp) )
94 - ( 1. + ff0.val_point(0,1.,M_PI/2.,ppp)
95 + gg0.val_point(0,1.,M_PI/2.,ppp) )
96 * ( - x_max * sin(ppp) + y_max * cos(ppp) ) ;
97
98 if ( diff_prev > 0. ) {
99 ss = 1. ;
100 }
101 else {
102 ss = -1. ;
103 }
104
105 while ( diff > 1.e-15 ) {
106
107 mm++ ;
108 ptmp = ppp + mm * dp ;
109
110 diff = ss * ( ( dff.val_point(0,1.,M_PI/2.,ptmp)
111 + dgg.val_point(0,1.,M_PI/2.,ptmp) )
112 * ( 1. + ff0.val_point(0,1.,M_PI/2.,ptmp)
113 + gg0.val_point(0,1.,M_PI/2.,ptmp)
114 - x_max * cos(ptmp) - y_max * sin(ptmp) )
115 - ( 1. + ff0.val_point(0,1.,M_PI/2.,ptmp)
116 + gg0.val_point(0,1.,M_PI/2.,ptmp) )
117 * ( - x_max * sin(ptmp) + y_max * cos(ptmp) ) ) ;
118
119 }
120 ppp += ss * (mm - 1) * dp ;
121
122 }
123
124 return ppp ;
125
126}
127}
double phi_longest_rad(double x_max, double y_max) const
Searches the position (phi) of the longest radius of NS from the position of the maximum enthalpy.
Map & mp
Mapping associated with the star.
Definition etoile.h:429
Radial mapping of rather general form.
Definition map.h:2752
const Valeur & get_ff() const
Returns a (constant) reference to the function .
Definition map_et.C:1034
const Valeur & get_gg() const
Returns a (constant) reference to the function .
Definition map_et.C:1038
Values and coefficients of a (real-value) function.
Definition valeur.h:287
double val_point(int l, double x, double theta, double phi) const
Computes the value of the field represented by *this at an arbitrary point, by means of the spectral ...
Definition valeur.C:882
const Valeur & dsdp() const
Returns of *this.
Definition valeur_dsdp.C:98
Cmp sin(const Cmp &)
Sine.
Definition cmp_math.C:69
Cmp cos(const Cmp &)
Cosine.
Definition cmp_math.C:94
Lorene prototypes.
Definition app_hor.h:64