1 /* PSPP - computes sample statistics.
2 Copyright (C) 2004 Free Software Foundation, Inc.
3 Written by John Darrington <john@darrington.wattle.id.au>
5 This program is free software; you can redistribute it and/or
6 modify it under the terms of the GNU General Public License as
7 published by the Free Software Foundation; either version 2 of the
8 License, or (at your option) any later version.
10 This program is distributed in the hope that it will be useful, but
11 WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 General Public License for more details.
15 You should have received a copy of the GNU General Public License
16 along with this program; if not, write to the Free Software
17 Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA
25 #include <gsl/gsl_histogram.h>
26 #include <gsl/gsl_randist.h>
34 /* Write the legend of the chart */
36 histogram_write_legend(struct chart *ch, const struct normal_curve *norm)
39 pl_savestate_r(ch->lp);
41 sprintf(buf,"N = %.2f",norm->N);
42 pl_move_r(ch->lp, ch->legend_left, ch->data_bottom);
43 pl_alabel_r(ch->lp,0,'b',buf);
45 sprintf(buf,"Mean = %.1f",norm->mean);
46 pl_fmove_r(ch->lp,ch->legend_left,ch->data_bottom + ch->font_size * 1.5);
47 pl_alabel_r(ch->lp,0,'b',buf);
49 sprintf(buf,"Std. Dev = %.2f",norm->stddev);
50 pl_fmove_r(ch->lp,ch->legend_left,ch->data_bottom + ch->font_size * 1.5 * 2);
51 pl_alabel_r(ch->lp,0,'b',buf);
53 pl_restorestate_r(ch->lp);
56 static void hist_draw_bar(struct chart *ch, const gsl_histogram *hist, int bar);
60 hist_draw_bar(struct chart *ch, const gsl_histogram *hist, int bar)
66 const size_t bins = gsl_histogram_bins(hist);
67 const double x_pos = (ch->data_right - ch->data_left) * bar / (double) bins ;
68 const double width = (ch->data_right - ch->data_left) / (double) bins ;
71 assert ( 0 == gsl_histogram_get_range(hist, bar, &lower, &upper));
73 assert( upper >= lower);
75 height = gsl_histogram_get(hist, bar) *
76 (ch->data_top - ch->data_bottom) / gsl_histogram_max_val(hist);
78 pl_savestate_r(ch->lp);
79 pl_move_r(ch->lp,ch->data_left, ch->data_bottom);
80 pl_fillcolorname_r(ch->lp, ch->fill_colour);
81 pl_filltype_r(ch->lp,1);
86 x_pos + width, height);
88 pl_restorestate_r(ch->lp);
92 snprintf(buf,5,"%g",(upper + lower) / 2.0);
93 draw_tick(ch, TICK_ABSCISSA,
94 x_pos + width / 2.0, buf);
103 histogram_plot(const gsl_histogram *hist,
104 const char *factorname,
105 const struct normal_curve *norm, short show_normal)
112 bins = gsl_histogram_bins(hist);
114 chart_initialise(&ch);
115 chart_write_title(&ch, _("HISTOGRAM"));
117 chart_write_ylabel(&ch, _("Frequency"));
118 chart_write_xlabel(&ch, factorname);
120 chart_write_yscale(&ch, 0, gsl_histogram_max_val(hist), 5);
122 for ( i = 0 ; i < bins ; ++i )
123 hist_draw_bar(&ch, hist, i);
125 histogram_write_legend(&ch, norm);
129 /* Draw the normal curve */
132 double x_min, x_max, not_used ;
133 double abscissa_scale ;
134 double ordinate_scale ;
137 gsl_histogram_get_range(hist, 0, &x_min, ¬_used);
138 range = not_used - x_min;
139 gsl_histogram_get_range(hist, bins - 1, ¬_used, &x_max);
140 assert(range == x_max - not_used);
142 abscissa_scale = (ch.data_right - ch.data_left) / (x_max - x_min);
143 ordinate_scale = (ch.data_top - ch.data_bottom) /
144 gsl_histogram_max_val(hist) ;
146 pl_move_r(ch.lp, ch.data_left, ch.data_bottom);
147 for( d = ch.data_left;
149 d += (ch.data_right - ch.data_left) / 100.0)
151 const double x = (d - ch.data_left) / abscissa_scale + x_min ;
152 const double y = norm->N * range *
153 gsl_ran_gaussian_pdf(x - norm->mean, norm->stddev);
155 pl_fcont_r(ch.lp, d, ch.data_bottom + y * ordinate_scale);
166 histogram_create(double bins, double x_min, double x_max)
171 double upper_limit, lower_limit;
173 gsl_histogram *hist = gsl_histogram_alloc(bins);
176 bin_width = chart_rounded_tick((x_max - x_min)/ bins);
177 bin_width_2 = bin_width / 2.0;
179 n = ceil( x_max / (bin_width_2) ) ;
180 if ( ! (n % 2 ) ) n++;
181 upper_limit = n * bin_width_2;
183 n = floor( x_min / (bin_width_2) ) ;
184 if ( ! (n % 2 ) ) n--;
185 lower_limit = n * bin_width_2;
187 gsl_histogram_set_ranges_uniform(hist, lower_limit, upper_limit);