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evol.c
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evol.c
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/* Copyright (c) 2014, Giuseppe Argentieri <[email protected]>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
*
*
* Filename: evol.c
*
* Description: Evolution of the density matrix with a given generator
*
* Version: 1.0
* Created: 02/05/2014 14:40:25
* Revision: none
* License: BSD
*
* Author: Giuseppe Argentieri (ga), [email protected]
* Organization: Università degli Studi di Trieste
*
*
*/
#include <stdio.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_matrix.h>
#include <gsl/gsl_odeiv2.h>
#include "funcs.h"
/*
* FUNCTION
* Name: generator
* Description: Setting the dydt in Bloch form
*
*/
int generator ( double t, const double y[], double dydt[], void* PARS )
{
/* Extracting the matrix address from PARS */
gsl_matrix* M = (gsl_matrix*) PARS ;
/* Generator */
unsigned int i , j ;
for ( i = 0; i < 4 ; i++ )
dydt[i] = 0 ;
for ( i = 1 ; i < 4 ; i++ )
for ( j = 0 ; j < 4 ; j++ )
dydt[i] = dydt[i] + gsl_matrix_get( M, i, j )*y[j] ;
return GSL_SUCCESS;
} /* ----- end of function generator ----- */
/*
* FUNCTION
* Name: jac
* Description: Jacobian matrix of the generator (which is exactly the Bloch matrix)
*
*/
int jac ( double t, const double y[], double dfdy[] , double dfdt[], void* PARS )
{
/* Taking the generator Bloch's matrix address from PARS */
gsl_matrix* bloch = (gsl_matrix*) PARS ;
/* Creating a matrix view of the array dfdy */
gsl_matrix_view m = gsl_matrix_view_array ( dfdy , 4, 4 ) ;
/* Initializing the jacobian matrix with the Bloch generator */
unsigned int i, j ;
for ( i = 0 ; i < 4 ; i++ )
for ( j = 0 ; j < 4 ; j++ )
gsl_matrix_set ( &m.matrix, i, j, gsl_matrix_get(bloch,i,j) ) ;
for ( i = 0 ; i < 4 ; i++ )
dfdt[i] = 0 ;
return GSL_SUCCESS;
} /* ----- end of function jac ----- */
/*
* FUNCTION
* Name: evol
* Description:
*
*/
int evol ( double t, gsl_vector* state, double step,
gsl_odeiv2_evolve* e, gsl_odeiv2_control* c, gsl_odeiv2_step* s,
gsl_odeiv2_system* sys )
{
/* Creating the array 'rho' for the vector 'state' */
double rho[4] ;
unsigned int i ;
for ( i = 0 ; i < 4 ; i++ )
rho[i] = VECTOR( state, i ) ;
/* evolving the array 'rho' */
int status = gsl_odeiv2_evolve_apply_fixed_step ( e, c, s, sys, &t, step, rho ) ;
if ( status != GSL_SUCCESS )
{
printf("STATUS: %d\n", status) ;
exit(1) ;
}
/* updating vector 'state' */
for ( i = 0 ; i < 4 ; i++ )
gsl_vector_set( state, i, rho[i] ) ;
return status ;
} /* ----- end of function evol ----- */