LORENE
et_bin_nsbh_axe.C
1/*
2 * Copyright (c) 2005 Philippe Grandclément
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
23
24
25/*
26 * $Id: et_bin_nsbh_axe.C,v 1.6 2016/12/05 16:17:53 j_novak Exp $
27 * $Log: et_bin_nsbh_axe.C,v $
28 * Revision 1.6 2016/12/05 16:17:53 j_novak
29 * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
30 *
31 * Revision 1.5 2014/10/13 08:52:56 j_novak
32 * Lorene classes and functions now belong to the namespace Lorene.
33 *
34 * Revision 1.4 2014/10/06 15:13:08 j_novak
35 * Modified #include directives to use c++ syntax.
36 *
37 * Revision 1.3 2005/08/31 09:53:58 m_saijo
38 * Delete unnecessary words around headers
39 *
40 * Revision 1.2 2005/08/31 09:13:45 p_grandclement
41 * add math.h
42 *
43 * Revision 1.1 2005/08/29 15:10:16 p_grandclement
44 * Addition of things needed :
45 * 1) For BBH with different masses
46 * 2) Provisory files for the mixted binaries (Bh and NS) : THIS IS NOT
47 * WORKING YET !!!
48 *
49 *
50 * $Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_nsbh_axe.C,v 1.6 2016/12/05 16:17:53 j_novak Exp $
51 *
52 */
53
54// C Headers
55#include <cmath>
56
57// Headers Lorene
58#include "et_bin_nsbh.h"
59#include "graphique.h"
60
61namespace Lorene {
62double Et_bin_nsbh::compute_axe(double omega) const {
63
64 // On récupère les trucs qui vont servir :
65 Cmp dx_mu (nnn().dsdx() / nnn());
66 Cmp dx_loggam (loggam().dsdx()) ;
67 double part_dx = dx_mu(0,0,0,0) + dx_loggam(0,0,0,0) ;
68
69 Cmp xabs (mp) ;
70 xabs = mp.xa ;
71
72 // Derivee_square
73 Cmp C_cmp (-pow(confpsi(), 4)/nnn()/nnn()*omega*omega) ;
74 C_cmp.std_base_scal() ;
75 double dC = C_cmp.dsdx()(0,0,0,0) ;
76
77 // Derive single
78 Cmp B_cmp (2*pow(confpsi(), 4)/nnn()/nnn()*shift(1)*omega) ;
79 B_cmp.std_base_scal() ;
80 double dB = B_cmp.dsdx()(0,0,0,0) ;
81
82 // Derive const
83 Cmp A_cmp = 1-pow(confpsi(), 4)/nnn()/nnn()*(shift(0)*shift(0) + shift(1)*shift(1) + shift(2)*shift(2)) ;
84 A_cmp.std_base_scal() ;
85 double dA = A_cmp.dsdx()(0,0,0,0) ;
86
87 // coefficients de G
88 double A = A_cmp (0,0,0,0) ;
89 double B = B_cmp (0,0,0,0) ;
90 double C = C_cmp (0,0,0,0) ;
91
92 // Les coefficients du polynome :
93 double a_coef = dC + 2*C*part_dx ;
94 double b_coef = dB + 2*C + 2*B*part_dx ;
95 double c_coef = dA + B + 2*A*part_dx;
96
97 cout << a_coef << " " << b_coef << " " << c_coef << endl ;
98
99 double determinant = b_coef*b_coef - 4*a_coef*c_coef ;
100
101 if (determinant <0) {
102 cout << "No solution for Xabs found in Et_bin_nsbh_compute_axe !" << endl ;
103 abort() ;
104 }
105
106 double sol_un = (-b_coef - sqrt(determinant))/2/a_coef ;
107 double sol_deux = (-b_coef + sqrt(determinant))/2/a_coef ;
108
109 bool signe_un = (sol_un >0) ? true : false ;
110 bool signe_deux = (sol_deux >0) ? true : false ;
111
112 double res ;
113
114 if (signe_un == signe_deux) {
115 cout << "To many solutions in Et_bin_nsbh_compute_axe !" << endl ;
116 abort() ;
117 }
118 else {
119 res = (signe_un) ? sol_un : sol_deux ;
120 }
121
122 return res ;
123}
124}
Tenseur confpsi
Total conformal factor $\Psi$.
Tenseur loggam
Logarithm of the Lorentz factor between the fluid and the co-orbiting observer.
Definition etoile.h:852
Tenseur nnn
Total lapse function.
Definition etoile.h:512
Map & mp
Mapping associated with the star.
Definition etoile.h:432
Tenseur shift
Total shift vector.
Definition etoile.h:515
Cmp sqrt(const Cmp &)
Square root.
Definition cmp_math.C:223
Cmp pow(const Cmp &, int)
Power .
Definition cmp_math.C:351
Lorene prototypes.
Definition app_hor.h:67