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-rw-r--r--gsl-1.9/histogram/test2d.c753
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diff --git a/gsl-1.9/histogram/test2d.c b/gsl-1.9/histogram/test2d.c
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+++ b/gsl-1.9/histogram/test2d.c
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+/* histogram/test2d.c
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Brian Gough
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or (at
+ * your option) any later version.
+ *
+ * This program 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 this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+#include <config.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_machine.h>
+#include <gsl/gsl_histogram2d.h>
+#include <gsl/gsl_test.h>
+#include <gsl/gsl_ieee_utils.h>
+
+#define M 107
+#define N 239
+#define M1 17
+#define N1 23
+#define MR 10
+#define NR 5
+
+void
+test2d (void)
+{
+ double xr[MR + 1] =
+ { 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 };
+
+ double yr[NR + 1] = { 90.0, 91.0, 92.0, 93.0, 94.0, 95.0 };
+
+ gsl_histogram2d *h, *h1, *g, *hr;
+ size_t i, j, k;
+
+ gsl_ieee_env_setup ();
+
+ h = gsl_histogram2d_calloc (M, N);
+ h1 = gsl_histogram2d_calloc (M, N);
+ g = gsl_histogram2d_calloc (M, N);
+
+ gsl_test (h->xrange == 0,
+ "gsl_histogram2d_calloc returns valid xrange pointer");
+ gsl_test (h->yrange == 0,
+ "gsl_histogram2d_calloc returns valid yrange pointer");
+ gsl_test (h->bin == 0, "gsl_histogram2d_calloc returns valid bin pointer");
+
+ gsl_test (h->nx != M, "gsl_histogram2d_calloc returns valid nx");
+ gsl_test (h->ny != N, "gsl_histogram2d_calloc returns valid ny");
+
+ hr = gsl_histogram2d_calloc_range (MR, NR, xr, yr);
+
+ gsl_test (hr->xrange == 0,
+ "gsl_histogram2d_calloc_range returns valid xrange pointer");
+ gsl_test (hr->yrange == 0,
+ "gsl_histogram2d_calloc_range returns valid yrange pointer");
+ gsl_test (hr->bin == 0,
+ "gsl_histogram2d_calloc_range returns valid bin pointer");
+
+ gsl_test (hr->nx != MR, "gsl_histogram2d_calloc_range returns valid nx");
+ gsl_test (hr->ny != NR, "gsl_histogram2d_calloc_range returns valid ny");
+
+ {
+ int status = 0;
+ for (i = 0; i <= MR; i++)
+ {
+ if (hr->xrange[i] != xr[i])
+ {
+ status = 1;
+ }
+ };
+
+ gsl_test (status,
+ "gsl_histogram2d_calloc_range creates xrange");
+ }
+
+ {
+ int status = 0;
+ for (i = 0; i <= NR; i++)
+ {
+ if (hr->yrange[i] != yr[i])
+ {
+ status = 1;
+ }
+ };
+
+ gsl_test (status,
+ "gsl_histogram2d_calloc_range creates yrange");
+ }
+
+ for (i = 0; i <= MR; i++)
+ {
+ hr->xrange[i] = 0.0;
+ }
+
+ for (i = 0; i <= NR; i++)
+ {
+ hr->yrange[i] = 0.0;
+ }
+
+ {
+ int status = gsl_histogram2d_set_ranges (hr, xr, MR + 1, yr, NR + 1);
+
+ for (i = 0; i <= MR; i++)
+ {
+ if (hr->xrange[i] != xr[i])
+ {
+ status = 1;
+ }
+ };
+
+ gsl_test (status, "gsl_histogram2d_set_ranges sets xrange");
+ }
+
+ {
+ int status = 0;
+ for (i = 0; i <= NR; i++)
+ {
+ if (hr->yrange[i] != yr[i])
+ {
+ status = 1;
+ }
+ };
+
+ gsl_test (status, "gsl_histogram2d_set_ranges sets yrange");
+ }
+
+
+ k = 0;
+ for (i = 0; i < M; i++)
+ {
+ for (j = 0; j < N; j++)
+ {
+ k++;
+ gsl_histogram2d_accumulate (h, (double) i, (double) j, (double) k);
+ };
+ }
+
+ {
+ int status = 0;
+ k = 0;
+ for (i = 0; i < M; i++)
+ {
+ for (j = 0; j < N; j++)
+ {
+ k++;
+ if (h->bin[i * N + j] != (double) k)
+ {
+ status = 1;
+ }
+ }
+ }
+ gsl_test (status,
+ "gsl_histogram2d_accumulate writes into array");
+ }
+
+ {
+ int status = 0;
+ k = 0;
+ for (i = 0; i < M; i++)
+ {
+ for (j = 0; j < N; j++)
+ {
+ k++;
+ if (gsl_histogram2d_get (h, i, j) != (double) k)
+ status = 1;
+ };
+ }
+ gsl_test (status, "gsl_histogram2d_get reads from array");
+ }
+
+ for (i = 0; i <= M; i++)
+ {
+ h1->xrange[i] = 100.0 + i;
+ }
+
+ for (i = 0; i <= N; i++)
+ {
+ h1->yrange[i] = 900.0 + i * i;
+ }
+
+ gsl_histogram2d_memcpy (h1, h);
+
+ {
+ int status = 0;
+ for (i = 0; i <= M; i++)
+ {
+ if (h1->xrange[i] != h->xrange[i])
+ status = 1;
+ };
+ gsl_test (status, "gsl_histogram2d_memcpy copies bin xranges");
+ }
+
+ {
+ int status = 0;
+ for (i = 0; i <= N; i++)
+ {
+ if (h1->yrange[i] != h->yrange[i])
+ status = 1;
+ };
+ gsl_test (status, "gsl_histogram2d_memcpy copies bin yranges");
+ }
+
+ {
+ int status = 0;
+ for (i = 0; i < M; i++)
+ {
+ for (j = 0; j < N; j++)
+ {
+ if (gsl_histogram2d_get (h1, i, j) !=
+ gsl_histogram2d_get (h, i, j))
+ status = 1;
+ }
+ }
+ gsl_test (status, "gsl_histogram2d_memcpy copies bin values");
+ }
+
+ gsl_histogram2d_free (h1);
+
+ h1 = gsl_histogram2d_clone (h);
+
+ {
+ int status = 0;
+ for (i = 0; i <= M; i++)
+ {
+ if (h1->xrange[i] != h->xrange[i])
+ status = 1;
+ };
+ gsl_test (status, "gsl_histogram2d_clone copies bin xranges");
+ }
+
+ {
+ int status = 0;
+ for (i = 0; i <= N; i++)
+ {
+ if (h1->yrange[i] != h->yrange[i])
+ status = 1;
+ };
+ gsl_test (status, "gsl_histogram2d_clone copies bin yranges");
+ }
+
+ {
+ int status = 0;
+ for (i = 0; i < M; i++)
+ {
+ for (j = 0; j < N; j++)
+ {
+ if (gsl_histogram2d_get (h1, i, j) !=
+ gsl_histogram2d_get (h, i, j))
+ status = 1;
+ }
+ }
+ gsl_test (status, "gsl_histogram2d_clone copies bin values");
+ }
+
+
+ gsl_histogram2d_reset (h);
+
+ {
+ int status = 0;
+
+ for (i = 0; i < M * N; i++)
+ {
+ if (h->bin[i] != 0)
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_reset zeros array");
+ }
+
+ gsl_histogram2d_free (h);
+ h = gsl_histogram2d_calloc (M1, N1);
+
+ {
+
+ int status = 0;
+
+ for (i = 0; i < M1; i++)
+ {
+ for (j = 0; j < N1; j++)
+ {
+ gsl_histogram2d_increment (h, (double) i, (double) j);
+
+ for (k = 0; k <= i * N1 + j; k++)
+ {
+ if (h->bin[k] != 1)
+ {
+ status = 1;
+ }
+ }
+
+ for (k = i * N1 + j + 1; k < M1 * N1; k++)
+ {
+ if (h->bin[k] != 0)
+ {
+ status = 1;
+ }
+ }
+ }
+ }
+ gsl_test (status, "gsl_histogram2d_increment increases bin value");
+ }
+
+ gsl_histogram2d_free (h);
+ h = gsl_histogram2d_calloc (M, N);
+
+ {
+ int status = 0;
+ for (i = 0; i < M; i++)
+ {
+ double x0 = 0, x1 = 0;
+ gsl_histogram2d_get_xrange (h, i, &x0, &x1);
+
+ if (x0 != i || x1 != i + 1)
+ {
+ status = 1;
+ }
+ }
+ gsl_test (status,
+ "gsl_histogram2d_get_xlowerlimit and xupperlimit");
+ }
+
+
+ {
+ int status = 0;
+ for (i = 0; i < N; i++)
+ {
+ double y0 = 0, y1 = 0;
+ gsl_histogram2d_get_yrange (h, i, &y0, &y1);
+
+ if (y0 != i || y1 != i + 1)
+ {
+ status = 1;
+ }
+ }
+ gsl_test (status,
+ "gsl_histogram2d_get_ylowerlimit and yupperlimit");
+ }
+
+
+ {
+ int status = 0;
+ if (gsl_histogram2d_xmax (h) != M)
+ status = 1;
+ gsl_test (status, "gsl_histogram2d_xmax");
+ }
+
+ {
+ int status = 0;
+ if (gsl_histogram2d_xmin (h) != 0)
+ status = 1;
+ gsl_test (status, "gsl_histogram2d_xmin");
+ }
+
+ {
+ int status = 0;
+ if (gsl_histogram2d_nx (h) != M)
+ status = 1;
+ gsl_test (status, "gsl_histogram2d_nx");
+ }
+
+ {
+ int status = 0;
+ if (gsl_histogram2d_ymax (h) != N)
+ status = 1;
+ gsl_test (status, "gsl_histogram2d_ymax");
+ }
+
+ {
+ int status = 0;
+ if (gsl_histogram2d_ymin (h) != 0)
+ status = 1;
+ gsl_test (status, "gsl_histogram2d_ymin");
+ }
+
+ {
+ int status = 0;
+ if (gsl_histogram2d_ny (h) != N)
+ status = 1;
+ gsl_test (status, "gsl_histogram2d_ny");
+ }
+
+ h->bin[3 * N + 2] = 123456.0;
+ h->bin[4 * N + 3] = -654321;
+
+ {
+ double max = gsl_histogram2d_max_val (h);
+ gsl_test (max != 123456.0, "gsl_histogram2d_max_val finds maximum value");
+ }
+
+ {
+ double min = gsl_histogram2d_min_val (h);
+ gsl_test (min != -654321.0,
+ "gsl_histogram2d_min_val finds minimum value");
+ }
+
+ {
+ size_t imax, jmax;
+ gsl_histogram2d_max_bin (h, &imax, &jmax);
+ gsl_test (imax != 3
+ || jmax != 2,
+ "gsl_histogram2d_max_bin finds maximum value bin");
+ }
+
+ {
+ size_t imin, jmin;
+ gsl_histogram2d_min_bin (h, &imin, &jmin);
+ gsl_test (imin != 4
+ || jmin != 3, "gsl_histogram2d_min_bin find minimum value bin");
+ }
+
+ for (i = 0; i < M * N; i++)
+ {
+ h->bin[i] = i + 27;
+ g->bin[i] = (i + 27) * (i + 1);
+ }
+
+ {
+ double sum = gsl_histogram2d_sum (h);
+ gsl_test (sum != N * M * 27 + ((N * M - 1) * N * M) / 2,
+ "gsl_histogram2d_sum sums all bin values");
+ }
+
+ {
+ /* first test... */
+ const double xpos = 0.6;
+ const double ypos = 0.85;
+ double xmean;
+ double ymean;
+ size_t xbin;
+ size_t ybin;
+ gsl_histogram2d *h3 = gsl_histogram2d_alloc (M, N);
+ gsl_histogram2d_set_ranges_uniform (h3, 0, 1, 0, 1);
+ gsl_histogram2d_increment (h3, xpos, ypos);
+ gsl_histogram2d_find (h3, xpos, ypos, &xbin, &ybin);
+ xmean = gsl_histogram2d_xmean (h3);
+ ymean = gsl_histogram2d_ymean (h3);
+
+ {
+ double expected_xmean = (h3->xrange[xbin] + h3->xrange[xbin + 1]) / 2.0;
+ double expected_ymean = (h3->yrange[ybin] + h3->yrange[ybin + 1]) / 2.0;
+ gsl_test_abs (xmean, expected_xmean, 100.0 * GSL_DBL_EPSILON,
+ "gsl_histogram2d_xmean");
+ gsl_test_abs (ymean, expected_ymean, 100.0 * GSL_DBL_EPSILON,
+ "gsl_histogram2d_ymean");
+ };
+ gsl_histogram2d_free (h3);
+ }
+
+ {
+ /* test it with bivariate normal distribution */
+ const double xmean = 0.7;
+ const double ymean = 0.7;
+ const double xsigma = 0.1;
+ const double ysigma = 0.1;
+ const double correl = 0.5;
+ const double norm =
+ 10.0 / M_PI / xsigma / ysigma / sqrt (1.0 - correl * correl);
+ size_t xbin;
+ size_t ybin;
+ gsl_histogram2d *h3 = gsl_histogram2d_alloc (M, N);
+ gsl_histogram2d_set_ranges_uniform (h3, 0, 1, 0, 1);
+ /* initialize with 2d gauss pdf in two directions */
+ for (xbin = 0; xbin < M; xbin++)
+ {
+ double xi =
+ ((h3->xrange[xbin] + h3->xrange[xbin + 1]) / 2.0 - xmean) / xsigma;
+ for (ybin = 0; ybin < N; ybin++)
+ {
+ double yi =
+ ((h3->yrange[ybin] + h3->yrange[ybin + 1]) / 2.0 -
+ ymean) / ysigma;
+ double prob =
+ norm * exp (-(xi * xi - 2.0 * correl * xi * yi + yi * yi) /
+ 2.0 / (1 - correl * correl));
+ h3->bin[xbin * N + ybin] = prob;
+ }
+ }
+ {
+ double xs = gsl_histogram2d_xsigma (h3);
+ double ys = gsl_histogram2d_ysigma (h3);
+ /* evaluate results and compare with parameters */
+
+ gsl_test_abs (gsl_histogram2d_xmean (h3), xmean, 2.0/M,
+ "gsl_histogram2d_xmean histogram mean(x)");
+ gsl_test_abs (gsl_histogram2d_ymean (h3), ymean, 2.0/N,
+ "gsl_histogram2d_ymean histogram mean(y)");
+ gsl_test_abs (xs, xsigma, 2.0/M,
+ "gsl_histogram2d_xsigma histogram stdev(x)");
+ gsl_test_abs (ys, ysigma, 2.0/N,
+ "gsl_histogram2d_ysigma histogram stdev(y)");
+ gsl_test_abs (gsl_histogram2d_cov (h3) / xs / ys, correl,
+ 2.0/((M < N) ? M : N),
+ "gsl_histogram2d_cov histogram covariance");
+ }
+ gsl_histogram2d_free (h3);
+ }
+
+ gsl_histogram2d_memcpy (h1, g);
+ gsl_histogram2d_add (h1, h);
+
+ {
+ int status = 0;
+ for (i = 0; i < M * N; i++)
+ {
+ if (h1->bin[i] != g->bin[i] + h->bin[i])
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_add histogram addition");
+ }
+
+ gsl_histogram2d_memcpy (h1, g);
+ gsl_histogram2d_sub (h1, h);
+
+ {
+ int status = 0;
+ for (i = 0; i < M * N; i++)
+ {
+ if (h1->bin[i] != g->bin[i] - h->bin[i])
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_sub histogram subtraction");
+ }
+
+
+ gsl_histogram2d_memcpy (h1, g);
+ gsl_histogram2d_mul (h1, h);
+
+ {
+ int status = 0;
+ for (i = 0; i < M * N; i++)
+ {
+ if (h1->bin[i] != g->bin[i] * h->bin[i])
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_mul histogram multiplication");
+ }
+
+ gsl_histogram2d_memcpy (h1, g);
+ gsl_histogram2d_div (h1, h);
+
+ {
+ int status = 0;
+ for (i = 0; i < M * N; i++)
+ {
+ if (h1->bin[i] != g->bin[i] / h->bin[i])
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_div histogram division");
+ }
+
+ gsl_histogram2d_memcpy (h1, g);
+ gsl_histogram2d_scale (h1, 0.5);
+
+ {
+ int status = 0;
+ for (i = 0; i < M * N; i++)
+ {
+ if (h1->bin[i] != 0.5 * g->bin[i])
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_scale histogram scaling");
+ }
+
+ gsl_histogram2d_memcpy (h1, g);
+ gsl_histogram2d_shift (h1, 0.25);
+
+ {
+ int status = 0;
+ for (i = 0; i < M * N; i++)
+ {
+ if (h1->bin[i] != 0.25 + g->bin[i])
+ status = 1;
+ }
+ gsl_test (status, "gsl_histogram2d_shift histogram shift");
+ }
+
+ gsl_histogram2d_free (h); /* free whatever is in h */
+
+ h = gsl_histogram2d_calloc_uniform (M1, N1, 0.0, 5.0, 0.0, 5.0);
+
+ gsl_test (h->xrange == 0,
+ "gsl_histogram2d_calloc_uniform returns valid range pointer");
+ gsl_test (h->yrange == 0,
+ "gsl_histogram2d_calloc_uniform returns valid range pointer");
+ gsl_test (h->bin == 0,
+ "gsl_histogram2d_calloc_uniform returns valid bin pointer");
+ gsl_test (h->nx != M1, "gsl_histogram2d_calloc_uniform returns valid nx");
+ gsl_test (h->ny != N1, "gsl_histogram2d_calloc_uniform returns valid ny");
+
+ gsl_histogram2d_accumulate (h, 0.0, 3.01, 1.0);
+ gsl_histogram2d_accumulate (h, 0.1, 2.01, 2.0);
+ gsl_histogram2d_accumulate (h, 0.2, 1.01, 3.0);
+ gsl_histogram2d_accumulate (h, 0.3, 0.01, 4.0);
+
+ {
+ size_t i1, i2, i3, i4;
+ size_t j1, j2, j3, j4;
+ double expected;
+ int status;
+ status = gsl_histogram2d_find (h, 0.0, 3.01, &i1, &j1);
+ status = gsl_histogram2d_find (h, 0.1, 2.01, &i2, &j2);
+ status = gsl_histogram2d_find (h, 0.2, 1.01, &i3, &j3);
+ status = gsl_histogram2d_find (h, 0.3, 0.01, &i4, &j4);
+
+ for (i = 0; i < M1; i++)
+ {
+ for (j = 0; j < N1; j++)
+ {
+ if (i == i1 && j == j1)
+ {
+ expected = 1.0;
+ }
+ else if (i == i2 && j == j2)
+ {
+ expected = 2.0;
+ }
+ else if (i == i3 && j == j3)
+ {
+ expected = 3.0;
+ }
+ else if (i == i4 && j == j4)
+ {
+ expected = 4.0;
+ }
+ else
+ {
+ expected = 0.0;
+ }
+
+ if (h->bin[i * N1 + j] != expected)
+ {
+ status = 1;
+ }
+ }
+ }
+ gsl_test (status, "gsl_histogram2d_find returns index");
+ }
+
+ {
+ FILE *f = fopen ("test.txt", "w");
+ gsl_histogram2d_fprintf (f, h, "%.19e", "%.19e");
+ fclose (f);
+ }
+
+ {
+ FILE *f = fopen ("test.txt", "r");
+ gsl_histogram2d *hh = gsl_histogram2d_calloc (M1, N1);
+ int status = 0;
+
+ gsl_histogram2d_fscanf (f, hh);
+
+ for (i = 0; i <= M1; i++)
+ {
+ if (h->xrange[i] != hh->xrange[i])
+ {
+ printf ("xrange[%d] : %g orig vs %g\n",
+ (int) i, h->xrange[i], hh->xrange[i]);
+ status = 1;
+ }
+ }
+
+ for (j = 0; j <= N1; j++)
+ {
+ if (h->yrange[j] != hh->yrange[j])
+ {
+ printf ("yrange[%d] : %g orig vs %g\n",
+ (int) j, h->yrange[j], hh->yrange[j]);
+ status = 1;
+ }
+ }
+
+ for (i = 0; i < M1 * N1; i++)
+ {
+ if (h->bin[i] != hh->bin[i])
+ {
+ printf ("bin[%d] : %g orig vs %g\n",
+ (int) i, h->bin[i], hh->bin[i]);
+ status = 1;
+ }
+ }
+
+ gsl_test (status, "gsl_histogram2d_fprintf and fscanf");
+
+ gsl_histogram2d_free (hh);
+ fclose (f);
+ }
+
+ {
+ FILE *f = fopen ("test.dat", "wb");
+ gsl_histogram2d_fwrite (f, h);
+ fclose (f);
+ }
+
+ {
+ FILE *f = fopen ("test.dat", "rb");
+ gsl_histogram2d *hh = gsl_histogram2d_calloc (M1, N1);
+ int status = 0;
+
+ gsl_histogram2d_fread (f, hh);
+
+ for (i = 0; i <= M1; i++)
+ {
+ if (h->xrange[i] != hh->xrange[i])
+ {
+ printf ("xrange[%d] : %g orig vs %g\n",
+ (int) i, h->xrange[i], hh->xrange[i]);
+ status = 1;
+ }
+ }
+
+ for (j = 0; j <= N1; j++)
+ {
+ if (h->yrange[j] != hh->yrange[j])
+ {
+ printf ("yrange[%d] : %g orig vs %g\n",
+ (int) j, h->yrange[j], hh->yrange[j]);
+ status = 1;
+ }
+ }
+
+ for (i = 0; i < M1 * N1; i++)
+ {
+ if (h->bin[i] != hh->bin[i])
+ {
+ printf ("bin[%d] : %g orig vs %g\n",
+ (int) i, h->bin[i], hh->bin[i]);
+ status = 1;
+ }
+ }
+
+ gsl_test (status, "gsl_histogram2d_fwrite and fread");
+
+ gsl_histogram2d_free (hh);
+ fclose (f);
+ }
+
+ gsl_histogram2d_free (h);
+ gsl_histogram2d_free (h1);
+ gsl_histogram2d_free (g);
+ gsl_histogram2d_free (hr);
+}
generated by cgit v1.2.3 (git 2.25.1) at 2024-05-01 06:16:33 +0000