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  • Committer: Package Import Robot
  • Author(s): Ole Streicher
  • Date: 2014-04-22 14:44:58 UTC
  • Revision ID: package-import@ubuntu.com-20140422144458-okiwi1assxkkiz39
Tags: upstream-13.09pl1.2+dfsg
Import upstream version 13.09pl1.2+dfsg

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applic/fit/libsrc/gauss3d.for
 
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C @(#)gauss3d.for       19.1 (ES0-DMD) 02/25/03 13:17:39
 
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C===========================================================================
 
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C Copyright (C) 1995 European Southern Observatory (ESO)
 
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C
 
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C This program is free software; you can redistribute it and/or 
 
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C modify it under the terms of the GNU General Public License as 
 
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C published by the Free Software Foundation; either version 2 of 
 
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C the License, or (at your option) any later version.
 
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C
 
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C This program is distributed in the hope that it will be useful,
 
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C but WITHOUT ANY WARRANTY; without even the implied warranty of
 
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C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 
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C GNU General Public License for more details.
 
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C
 
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C You should have received a copy of the GNU General Public 
 
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C License along with this program; if not, write to the Free 
 
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C Software Foundation, Inc., 675 Massachusetss Ave, Cambridge, 
 
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C MA 02139, USA.
 
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C
 
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C Corresponding concerning ESO-MIDAS should be addressed as follows:
 
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C       Internet e-mail: midas@eso.org
 
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C       Postal address: European Southern Observatory
 
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C                       Data Management Division 
 
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C                       Karl-Schwarzschild-Strasse 2
 
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C                       D 85748 Garching bei Muenchen 
 
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C                       GERMANY
 
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C===========================================================================
 
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C
 
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      SUBROUTINE GAUSS3(X,NP,PARAM,Y1,DERIV)                                   
 
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C+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++                  
 
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C.COPYRIGHT: Copyright (c) 1987 European Southern Observatory,                  
 
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C                                         all rights reserved                   
 
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C                                                                               
 
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C.VERSION: 1.0  ESO-FORTRAN Conversion, AA  18:01 - 21 DEC 1987                 
 
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C                                                                               
 
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C.LANGUAGE: F77+ESOext                                                          
 
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C                                                                               
 
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C.AUTHOR: J.D.PONZ                                                              
 
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C                                                                               
 
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C--------------------------------------------------------------                 
 
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C**********************************************                                 
 
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C                                                                               
 
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C      IMPLICIT NONE                                                            
 
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C   Three-dimensional Gaussian Distribution                                     
 
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C                                                                               
 
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C**********************************************                                 
 
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C                                                                               
 
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C   Author: O.-G. Richter, ESO Garching                                         
 
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C                                                                               
 
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      INTEGER NP
 
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      DOUBLE PRECISION Y1,PARAM(NP),DERIV(NP)                                   
 
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      REAL X(3)                                                            
 
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      DOUBLE PRECISION R11,R22,R33,R12,R13,R23,R,R1                             
 
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      DOUBLE PRECISION A,B,C,D,E,F,O,P,Q                                        
 
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      DOUBLE PRECISION B2,C2,D2,B22,C22,D22,E1,E2,E3                            
 
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C  !   \                                                                        
 
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      R11    = 1.0D0 - PARAM(10)*PARAM(10)  !    > Diagonals                    
 
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      R22    = 1.0D0 - PARAM(9)*PARAM(9)  !   /                                 
 
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      R33    = 1.0D0 - PARAM(8)*PARAM(8)                                        
 
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C      ! of correlation determ.  !   \                                          
 
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      R12    = PARAM(9)*PARAM(10) - PARAM(8)  !    > Non-diagonals              
 
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      R13    = PARAM(8)*PARAM(10) - PARAM(9)  !   /                             
 
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      R23    = PARAM(8)*PARAM(9) - PARAM(10)                                    
 
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C  !   Total residual dispersion                                                
 
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      R      = 2.0D0*R12*PARAM(8) + R11 + R22 - 1.0  !   and its inverse        
 
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      R1     = 1.0D0/R                                                          
 
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C                                                                               
 
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      A      = 0.6931471806D0*R1                                                
 
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C                                                                               
 
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      B      = (X(1)-PARAM(2))/PARAM(5)                                         
 
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      C      = (X(2)-PARAM(3))/PARAM(6)                                         
 
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      D      = (X(3)-PARAM(4))/PARAM(7)                                         
 
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      B2     = B*B                                                              
 
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      C2     = C*C                                                              
 
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      D2     = D*D                                                              
 
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      B22    = B2*R11                                                           
 
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      C22    = C2*R22                                                           
 
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      D22    = D2*R33                                                           
 
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C                                                                               
 
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      DERIV(1) = DEXP(-A* (B22+C22+D22+2.0* (B*C*R12+B*D*R13+C*D*R23)))         
 
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C                                                                               
 
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      Y1     = DERIV(1)*PARAM(1)                                                
 
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      A      = 2.0*A*Y1                                                         
 
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C                                                                               
 
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      DERIV(2) = A* (B*R11+C*R12+D*R13)/PARAM(5)                                
 
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      DERIV(3) = A* (B*R12+C*R22+D*R23)/PARAM(6)                                
 
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      DERIV(4) = A* (B*R13+C*R23+D*R33)/PARAM(7)                                
 
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      DERIV(5) = DERIV(2)*B                                                     
 
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      DERIV(6) = DERIV(3)*C                                                     
 
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      DERIV(7) = DERIV(4)*D                                                     
 
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      A      = A*R1                                                             
 
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      E      = 2.0*R12*R13                                                      
 
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      E1     = E - PARAM(8)*R                                                   
 
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      E2     = E - PARAM(9)*R                                                   
 
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      E3     = E - PARAM(10)*R                                                  
 
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      F      = B22 + C22 + D22                                                  
 
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      O      = B*C                                                              
 
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      P      = B*D                                                              
 
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      Q      = C*D                                                              
 
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C                                                                               
 
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      DERIV(8) = A* (R12*F+D2*PARAM(8)*R+O* (2.0*R12*R12+R)+P*E3+Q*E2)          
 
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      DERIV(9) = A* (R13*F+C2*PARAM(9)*R+O*E3+P* (2.0*R13*R13+R)+Q*E1)          
 
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      DERIV(10) = A* (R23*F+B2*PARAM(10)*R+O*E2+P*E1+Q* (2.0*R23*R23+R))        
 
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C                                                                               
 
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      RETURN                                                                    
 
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      END