base_val_name_theta.C

/*
 *  Method Base_val::name_theta
 *
 *  (see file base_val.h for documentation). 
 *
 */

/*
 *   Copyright (c) 2003 Eric Gourgoulhon. 
 *
 *   This file is part of LORENE.
 *
 *   LORENE is free software; you can redistribute it and/or modify
 *   it under the terms of the GNU General Public License version 2
 *   as published by the Free Software Foundation.
 *
 *   LORENE is distributed in the hope that it will be useful,
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *   GNU General Public License for more details.
 *
 *   You should have received a copy of the GNU General Public License
 *   along with LORENE; if not, write to the Free Software
 *   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 */

char base_val_name_theta_C[] = "$Header: /cvsroot/Lorene/C++/Source/Base_val/base_val_name_theta.C,v 1.7 2009/10/23 12:55:16 j_novak Exp $" ;

/*
 * $Id: base_val_name_theta.C,v 1.7 2009/10/23 12:55:16 j_novak Exp $
 * $Log: base_val_name_theta.C,v $
 * Revision 1.7  2009/10/23 12:55:16  j_novak
 * New base T_LEG_MI
 *
 * Revision 1.6  2009/10/08 16:20:13  j_novak
 * Addition of new bases T_COS and T_SIN.
 *
 * Revision 1.5  2004/12/17 13:35:01  m_forot
 * Add the case T_LEG
 *
 * Revision 1.4  2004/11/23 15:08:01  m_forot
 * Added the bases for the cases without any equatorial symmetry
 * (T_COSSIN_C, T_COSSIN_S, T_LEG, R_CHEBPI_P, R_CHEBPI_I).
 *
 * Revision 1.3  2004/10/04 13:40:38  j_novak
 * Added the T_COS base case.
 *
 * Revision 1.2  2004/08/24 09:14:41  p_grandclement
 * Addition of some new operators, like Poisson in 2d... It now requieres the
 * GSL library to work.
 *
 * Also, the way a variable change is stored by a Param_elliptic is changed and
 * no longer uses Change_var but rather 2 Scalars. The codes using that feature
 * will requiere some modification. (It should concern only the ones about monopoles)
 *
 * Revision 1.1  2003/10/19 19:49:40  e_gourgoulhon
 * First version
 *
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Base_val/base_val_name_theta.C,v 1.7 2009/10/23 12:55:16 j_novak Exp $
 *
 */

// C headers
#include <string.h>
#include <stdlib.h>

// Lorene headers
#include "type_parite.h"
#include "base_val.h"

// Local prototypes
void basename_t_unknown(int, int, char*) ; 
void basename_t_cos(int, int, char*) ; 
void basename_t_sin(int, int, char*) ; 
void basename_t_cos_p(int, int, char*) ; 
void basename_t_sin_p(int, int, char*) ; 
void basename_t_cos_i(int, int, char*) ; 
void basename_t_sin_i(int, int, char*) ; 
void basename_t_cossin_cp(int, int, char*) ; 
void basename_t_cossin_sp(int, int, char*) ;
void basename_t_cossin_c(int, int, char*) ; 
void basename_t_cossin_s(int, int, char*) ; 
void basename_t_cossin_ci(int, int, char*) ; 
void basename_t_cossin_si(int, int, char*) ; 
void basename_t_leg_p(int, int, char*) ; 
void basename_t_leg(int, int, char*) ; 
void basename_t_leg_mp(int, int, char*) ; 
void basename_t_leg_mi(int, int, char*) ; 
void basename_t_leg_pp(int, int, char*) ; 
void basename_t_leg_i(int, int, char*) ; 
void basename_t_leg_ip(int, int, char*) ; 
void basename_t_leg_pi(int, int, char*) ; 
void basename_t_leg_ii(int, int, char*) ; 
void basename_t_cl_cos_p(int, int, char*) ; 
void basename_t_cl_sin_p(int, int, char*) ; 
void basename_t_cl_cos_i(int, int, char*) ; 
void basename_t_cl_sin_i(int, int, char*) ; 


            //----------------------------//
            //      Base_val method       //
            //----------------------------//

void Base_val::name_theta(int l, int k, int j, char* name) const {

    // Array of actual base name functions
    static void(*vbasename_t[MAX_BASE])(int, int, char*) ;  

    static bool first_call = true ;

    // Initializations at first call
    // -----------------------------
    if ( first_call ) {

        first_call = false ;

        for (int i=0 ; i<MAX_BASE ; i++) {
            vbasename_t[i] = basename_t_unknown ;
        }

        vbasename_t[T_COS >> TRA_T] = basename_t_cos ;
        vbasename_t[T_SIN >> TRA_T] = basename_t_sin ;
        vbasename_t[T_COS_P >> TRA_T] = basename_t_cos_p ;
        vbasename_t[T_SIN_P >> TRA_T] = basename_t_sin_p ;
        vbasename_t[T_COS_I >> TRA_T] = basename_t_cos_i ;
        vbasename_t[T_SIN_I >> TRA_T] = basename_t_sin_i ;
        vbasename_t[T_COSSIN_CP >> TRA_T] = basename_t_cossin_cp ;
        vbasename_t[T_COSSIN_SP >> TRA_T] = basename_t_cossin_sp ;
        vbasename_t[T_COSSIN_CI >> TRA_T] = basename_t_cossin_ci ;
        vbasename_t[T_COSSIN_SI >> TRA_T] = basename_t_cossin_si ;
        vbasename_t[T_COSSIN_C >> TRA_T] = basename_t_cossin_c ;
        vbasename_t[T_COSSIN_S >> TRA_T] = basename_t_cossin_s ;
        vbasename_t[T_LEG_P >> TRA_T] = basename_t_leg_p ;
        vbasename_t[T_LEG_MP >> TRA_T] = basename_t_leg_mp ;
        vbasename_t[T_LEG_MI >> TRA_T] = basename_t_leg_mi ;
        vbasename_t[T_LEG >> TRA_T] = basename_t_leg ;
        vbasename_t[T_LEG_PP >> TRA_T] = basename_t_leg_pp ;
        vbasename_t[T_LEG_I >> TRA_T] = basename_t_leg_i ;
        vbasename_t[T_LEG_IP >> TRA_T] = basename_t_leg_ip ;
        vbasename_t[T_LEG_PI >> TRA_T] = basename_t_leg_pi ;
        vbasename_t[T_LEG_II >> TRA_T] = basename_t_leg_ii ;
        vbasename_t[T_CL_COS_P >> TRA_T] = basename_t_cl_cos_p ;
        vbasename_t[T_CL_SIN_P >> TRA_T] = basename_t_cl_sin_p ;
        vbasename_t[T_CL_COS_I >> TRA_T] = basename_t_cl_cos_i ;
        vbasename_t[T_CL_SIN_I >> TRA_T] = basename_t_cl_sin_i ;

    }
    
    // Call to the function adapted to the basis in domain l
    //------------------------------------------------------
    
    assert( (l>=0) && (l<nzone) ) ; 
    
    int base_t = ( b[l] & MSQ_T ) >> TRA_T ;
    
    vbasename_t[base_t](k, j, name) ; 

}
    
    
            //-------------------------------//
            //  individual basis functions   //
            //-------------------------------//
    
void basename_t_unknown(int, int, char*) {
    cout << "Base_val::name_theta : unknwon basis !" << endl ; 
    abort() ; 
} 


void basename_t_cos(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cos") ; 
        
    int xt = j ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   

void basename_t_sin(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "sin") ; 
        
    int xt = j ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   


void basename_t_cos_p(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cos") ; 
        
    int xt = 2*j ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   


void basename_t_sin_p(int , int j, char* name) {

    assert( j>=0 ) ; 

    if (j == 0) {
        strcpy(name, "unused") ; 
        return ;
    }

    strcpy(name, "sin") ; 
        
    int xt = 2*j ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}
    
void basename_t_cl_cos_p(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cl_cos") ; 
        
    int xt = 2*j ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}

void basename_t_cl_sin_p(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cl_sin") ; 
        
    int xt = 2*j ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}
    
void basename_t_cos_i(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cos") ; 
        
    int xt = 2*j + 1 ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   

void basename_t_cl_cos_i(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cl_cos") ; 
        
    int xt = 2*j + 1 ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}

void basename_t_sin_i(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "sin") ; 
        
    int xt = 2*j + 1 ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}
    
void basename_t_cl_sin_i(int , int j, char* name) {

    assert( j>=0 ) ; 

    strcpy(name, "cl_sin") ; 
        
    int xt = 2*j + 1 ; 
        
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   

    
void basename_t_cossin_cp(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ; 
    int xt ; 
    if (m%2 == 0) {
        strcpy(name, "cos") ; 
        xt = 2*j ; 
    }
    else {
        strcpy(name, "sin") ; 
        xt = 2*j + 1 ; 
    }
    
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   


void basename_t_cossin_sp(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ; 
    int xt ; 
    if (m%2 == 0) {
        if (j == 0) {
            strcpy(name, "unused") ;
            return ;  
        }
        else {
            strcpy(name, "sin") ; 
            xt = 2*j ;
        } 
    }
    else {
        strcpy(name, "cos") ; 
        xt = 2*j + 1 ; 
    }
    
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   

void basename_t_cossin_c(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ; 
    int xt ; 
    if (m%2 == 0) {
        strcpy(name, "cos") ; 
        xt = j ; 
    }
    else {
      if (j == 0) {
        strcpy(name, "unused") ;
        return ;  
      } else {
        strcpy(name, "sin") ; 
        xt = j ;
      } 
    }
    
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   


void basename_t_cossin_s(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ; 
    int xt ; 
    if (m%2 == 0) {
        if (j == 0) {
            strcpy(name, "unused") ;
            return ;  
        }
        else {
            strcpy(name, "sin") ; 
            xt = j ;
        } 
    }
    else {
        strcpy(name, "cos") ; 
        xt = j ; 
    }
    
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   


void basename_t_cossin_ci(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ; 
    int xt ; 
    if (m%2 == 0) {
        strcpy(name, "cos") ; 
        xt = 2*j + 1; 
    }
    else {
        if (j == 0) {
            strcpy(name, "unused") ;
            return ;  
        }
        else {
            strcpy(name, "sin") ; 
            xt = 2*j ; 
        }
    }
    
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   


void basename_t_cossin_si(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ; 
    int xt ; 
    if (m%2 == 0) {
        strcpy(name, "sin") ; 
        xt = 2*j + 1; 
    }
    else {
        strcpy(name, "cos") ; 
        xt = 2*j ; 
    }
    
    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "t") ; 
}   

void basename_t_leg(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ;
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = j; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   

void basename_t_leg_mp(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = 2 * (k / 2) ;
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = j; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   

void basename_t_leg_mi(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = 2 * ((k-1) / 2) + 1 ;
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = j; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   

void basename_t_leg_p(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ;
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = (m%2 == 0) ? 2*j : 2*j + 1 ; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   


void basename_t_leg_pp(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = 2 * (k / 2) ; 
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = 2*j ; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   


void basename_t_leg_i(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = k / 2 ;
     
    if (j < m/2 + m%2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = (m%2 == 0) ? 2*j + 1 : 2*j ; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   
    

void basename_t_leg_ip(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = 2 * (k / 2) ; 
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = 2*j + 1 ; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   


void basename_t_leg_pi(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = 2 * ((k-1) / 2) + 1 ; 
     
    if (j < m/2) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = 2*j + 1 ; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   


void basename_t_leg_ii(int k, int j, char* name) {

    assert( k>=0 ) ; 
    assert( j>=0 ) ; 

    int m = 2 * ((k-1) / 2) + 1 ; 
     
    if (j < m/2 + 1) {
        strcpy (name, "unused") ; 
        return ; 
    }
    
    strcpy(name, "P_") ; 

    int xt = 2*j ; 

    char cxt[4] ;
    assert( xt < 1000) ; 
    sprintf(cxt, "%d", xt) ; 
    strcat(name, cxt) ; 
    strcat(name, "^") ; 

    assert( m < 1000) ; 
    sprintf(cxt, "%d", m) ; 
    strcat(name, cxt) ; 
}   

    
    
    
    
    
    
    
    
    
    
    
    
    

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