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/* histogram/pdf2d.c
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*
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* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007, 2009 Brian Gough
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 3 of the License, or (at
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* your option) any later version.
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*
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* This program is distributed in the hope that it will be useful, but
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* WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*/
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#include <config.h>
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#include <stdlib.h>
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#include <gsl/gsl_errno.h>
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#include <gsl/gsl_histogram.h>
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#include <gsl/gsl_histogram2d.h>
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#include "find.c"
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int
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gsl_histogram2d_pdf_sample (const gsl_histogram2d_pdf * p,
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double r1, double r2,
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double *x, double *y)
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{
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size_t k;
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int status;
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/* Wrap the exclusive top of the bin down to the inclusive bottom of
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the bin. Since this is a single point it should not affect the
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distribution. */
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if (r2 == 1.0)
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{
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r2 = 0.0;
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}
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if (r1 == 1.0)
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{
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r1 = 0.0;
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}
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status = find (p->nx * p->ny, p->sum, r1, &k);
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if (status)
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{
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GSL_ERROR ("cannot find r1 in cumulative pdf", GSL_EDOM);
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}
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else
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{
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size_t i = k / p->ny;
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size_t j = k - (i * p->ny);
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double delta = (r1 - p->sum[k]) / (p->sum[k + 1] - p->sum[k]);
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*x = p->xrange[i] + delta * (p->xrange[i + 1] - p->xrange[i]);
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*y = p->yrange[j] + r2 * (p->yrange[j + 1] - p->yrange[j]);
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return GSL_SUCCESS;
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}
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}
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gsl_histogram2d_pdf *
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gsl_histogram2d_pdf_alloc (const size_t nx, const size_t ny)
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{
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const size_t n = nx * ny;
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gsl_histogram2d_pdf *p;
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if (n == 0)
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{
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GSL_ERROR_VAL ("histogram2d pdf length n must be positive integer",
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GSL_EDOM, 0);
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}
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p = (gsl_histogram2d_pdf *) malloc (sizeof (gsl_histogram2d_pdf));
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if (p == 0)
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{
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GSL_ERROR_VAL ("failed to allocate space for histogram2d pdf struct",
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GSL_ENOMEM, 0);
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}
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p->xrange = (double *) malloc ((nx + 1) * sizeof (double));
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if (p->xrange == 0)
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{
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free (p); /* exception in constructor, avoid memory leak */
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GSL_ERROR_VAL ("failed to allocate space for histogram2d pdf xranges",
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GSL_ENOMEM, 0);
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}
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p->yrange = (double *) malloc ((ny + 1) * sizeof (double));
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if (p->yrange == 0)
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{
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free (p->xrange);
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free (p); /* exception in constructor, avoid memory leak */
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GSL_ERROR_VAL ("failed to allocate space for histogram2d pdf yranges",
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GSL_ENOMEM, 0);
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}
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p->sum = (double *) malloc ((n + 1) * sizeof (double));
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if (p->sum == 0)
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{
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free (p->yrange);
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free (p->xrange);
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free (p); /* exception in constructor, avoid memory leak */
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GSL_ERROR_VAL ("failed to allocate space for histogram2d pdf sums",
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GSL_ENOMEM, 0);
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}
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p->nx = nx;
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p->ny = ny;
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return p;
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}
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int
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gsl_histogram2d_pdf_init (gsl_histogram2d_pdf * p, const gsl_histogram2d * h)
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{
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size_t i;
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const size_t nx = p->nx;
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const size_t ny = p->ny;
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const size_t n = nx * ny;
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if (nx != h->nx || ny != h->ny)
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{
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GSL_ERROR ("histogram2d size must match pdf size", GSL_EDOM);
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}
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for (i = 0; i < n; i++)
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{
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if (h->bin[i] < 0)
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{
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GSL_ERROR ("histogram bins must be non-negative to compute"
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"a probability distribution", GSL_EDOM);
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}
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}
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for (i = 0; i < nx + 1; i++)
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{
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p->xrange[i] = h->xrange[i];
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}
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for (i = 0; i < ny + 1; i++)
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{
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p->yrange[i] = h->yrange[i];
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}
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{
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double mean = 0, sum = 0;
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for (i = 0; i < n; i++)
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{
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mean += (h->bin[i] - mean) / ((double) (i + 1));
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}
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p->sum[0] = 0;
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for (i = 0; i < n; i++)
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{
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sum += (h->bin[i] / mean) / n;
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p->sum[i + 1] = sum;
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}
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}
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return GSL_SUCCESS;
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}
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void
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gsl_histogram2d_pdf_free (gsl_histogram2d_pdf * p)
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{
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RETURN_IF_NULL (p);
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free (p->xrange);
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free (p->yrange);
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free (p->sum);
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free (p);
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}
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