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sample.c
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sample.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: sample.c
*
* Description: Sample random points on the sphere to check positivity
* violations
*
* Version: 1.0
* Created: 16/05/2014 21:26:24
* Revision: none
* License: BSD
*
* Author: Giuseppe Argentieri (ga), [email protected]
* Organization: Università degli Studi di Trieste
*
*
*/
#include <gsl/gsl_rng.h>
#include <time.h>
#include <math.h>
#include <gsl/gsl_vector.h>
#include <gsl/gsl_matrix.h>
#include <stdlib.h>
#include <string.h>
#include "funcs.h"
/*
* FUNCTION
* Name: sample
* Description: We choose N points in the Theta interval [0, Pi) and
* N/sin(Theta) points in the Phi interval [0, 2Pi) .
*
* This is because the circles at colatitude Theta have
* radius sin(Theta) instead of 1 and we must reduce the
* number of points accordingly, to have a uniform
* distribution all over the sphere.
*
*/
int sample ( const gsl_matrix* M, unsigned int N )
{
if ( N == 0 )
return -1;
gsl_rng_env_setup() ;
/* Double precision RANLXS generator */
gsl_rng* r = gsl_rng_alloc(gsl_rng_ranlxd2) ;
/* Taking the time in seconds as seed */
unsigned long int seed = (unsigned long int) time(0) ;
/* seeding */
gsl_rng_set(r, seed) ;
/* Generating and testing points */
double Theta, Phi ;
gsl_vector* v = gsl_vector_calloc(4) ;
double time_der ;
FILE* f = fopen( "POS_VIOLATIONS", "w" );
if ( errno != 0 )
printf("Error: %s.\nFailed to open POS_VIOLATIONS",
strerror(errno)) ;
unsigned int i ;
for ( i = 0; i < N; i++ )
{
Theta = M_PI*gsl_rng_uniform(r);
Phi = 2*M_PI*gsl_rng_uniform(r);
bloch_vector(v, 1, Theta, Phi) ;
time_der = r0_dot( M, v ) ;
if ( time_der > 0 )
{
fprintf( f, "%-.9f %-.9f %-.9f %g\n",
VECTOR(v,1),VECTOR(v,2),VECTOR(v,3),
time_der ) ;
}
}
fclose (f) ;
gsl_rng_free(r) ;
printf("n. of points: %d\n", N) ;
return 0;
} /* ----- end of function sample ----- */
/*
* FUNCTION
* Name: main
* Description:
*
*/
int main ( int argc, char *argv[] )
{
unsigned int num = 1e5 ;
gsl_matrix* red_m = gsl_matrix_calloc(4, 4) ;
mat_read (red_m, "REDFIELD_MATRIX") ;
sample (red_m, num) ;
gsl_matrix_free(red_m) ;
return EXIT_SUCCESS;
} /* ---------- end of function main ---------- */