*/
#include <config.h>
-#include <assert.h>
+#include "error.h"
#include <math.h>
#include <stdlib.h>
#include "alloc.h"
#include "bitvector.h"
+#include "case.h"
#include "hash.h"
#include "pool.h"
#include "command.h"
#include "lexer.h"
+#include "moments.h"
#include "error.h"
#include "algorithm.h"
#include "magic.h"
#include "misc.h"
-#include "stats.h"
#include "output.h"
#include "som.h"
#include "str.h"
#include "value-labels.h"
#include "var.h"
#include "vfm.h"
+#include "settings.h"
+#include "chart.h"
#include "debug-print.h"
barchart(ba_)=:minimum(d:min),
:maximum(d:max),
scale:freq(*n:freq,"%s>0")/percent(*n:pcnt,"%s>0");
+ piechart(pie_)=:minimum(d:min),
+ :maximum(d:max),
+ missing:missing/!nomissing;
histogram(hi_)=:minimum(d:min),
:maximum(d:max),
scale:freq(*n:freq,"%s>0")/percent(*n:pcnt,"%s>0"),
};
/* Percentiles to calculate. */
-static double *percentiles;
-static double *percentile_values;
+
+struct percentile
+{
+ double p; /* the %ile to be calculated */
+ double value; /* the %ile's value */
+ double x1; /* The datum value <= the percentile */
+ double x2; /* The datum value >= the percentile */
+ int flag;
+ int flag2; /* Set to 1 if this percentile value has been found */
+};
+
+static struct percentile *percentiles;
static int n_percentiles;
+static int implicit_50th ;
+
/* Groups of statistics. */
#define BI BIT_INDEX
#define frq_default \
GFT_NONE, /* Don't draw graphs. */
GFT_BAR, /* Draw bar charts. */
GFT_HIST, /* Draw histograms. */
+ GFT_PIE, /* Draw piechart */
GFT_HBAR /* Draw bar charts or histograms at our discretion. */
};
static struct cmd_frequencies cmd;
/* Summary of the barchart, histogram, and hbar subcommands. */
-static int chart; /* NONE/BAR/HIST/HBAR. */
+/* FIXME: These should not be mututally exclusive */
+static int chart; /* NONE/BAR/HIST/HBAR/PIE. */
static double min, max; /* Minimum, maximum on y axis. */
static int format; /* FREQ/PERCENT: Scaling of y axis. */
static double scale, incr; /* FIXME */
static void determine_charts (void);
+static void calc_stats (struct variable * v, double d[frq_n_stats]);
+
static void precalc (void *);
static int calc (struct ccase *, void *);
static void postcalc (void *);
int i;
n_percentiles = 0;
- percentile_values = NULL;
percentiles = NULL;
n_variables = 0;
for (i = 0; i < dict_get_var_cnt (default_dict); i++)
dict_get_var(default_dict, i)->p.frq.used = 0;
- lex_match_id ("FREQUENCIES");
if (!parse_frequencies (&cmd))
return CMD_FAILURE;
cmd.sort = FRQ_AVALUE;
/* Do it! */
- procedure (precalc, calc, postcalc, NULL);
+ procedure_with_splits (precalc, calc, postcalc, NULL);
return CMD_SUCCESS;
}
static void
determine_charts (void)
{
- int count = (!!cmd.sbc_histogram) + (!!cmd.sbc_barchart) + (!!cmd.sbc_hbar);
+ int count = (!!cmd.sbc_histogram) + (!!cmd.sbc_barchart) +
+ (!!cmd.sbc_hbar) + (!!cmd.sbc_piechart);
if (!count)
{
chart = GFT_HIST;
else if (cmd.sbc_barchart)
chart = GFT_BAR;
+ else if (cmd.sbc_piechart)
+ chart = GFT_PIE;
else
chart = GFT_HBAR;
format = FRQ_PERCENT;
scale = cmd.ba_pcnt;
}
- if (cmd.hi_norm)
+ if (cmd.hi_norm != FRQ_NONORMAL )
normal = 1;
if (cmd.hi_incr == FRQ_INCREMENT)
incr = cmd.hi_inc;
{
double weight;
int i;
+ int bad_warn = 1;
- weight = dict_get_case_weight (default_dict, c);
+ weight = dict_get_case_weight (default_dict, c, &bad_warn);
for (i = 0; i < n_variables; i++)
{
struct variable *v = v_variables[i];
- union value *val = &c->data[v->fv];
+ const union value *val = case_data (c, v->fv);
struct freq_tab *ft = &v->p.frq.tab;
switch (v->p.frq.tab.mode)
{
case FRQM_GENERAL:
{
+
/* General mode. */
struct freq **fpp = (struct freq **) hsh_probe (ft->data, val);
-
+
if (*fpp != NULL)
(*fpp)->c += weight;
else
if (n_stats)
dump_statistics (v, !dumped_freq_tab);
+
+ if ( chart == GFT_HIST)
+ {
+ struct chart ch;
+ double d[frq_n_stats];
+ struct frequencies_proc *frq = &v->p.frq;
+
+ struct normal_curve norm;
+ norm.N = frq->tab.total_cases ;
+
+ calc_stats(v,d);
+ norm.mean = d[frq_mean];
+ norm.stddev = d[frq_stddev];
+
+ chart_initialise(&ch);
+ draw_histogram(&ch, v_variables[i], "HISTOGRAM",&norm,normal);
+ chart_finalise(&ch);
+ }
+
+
+ if ( chart == GFT_PIE)
+ {
+ struct chart ch;
+
+ chart_initialise(&ch);
+
+ draw_piechart(&ch, v_variables[i]);
+
+ chart_finalise(&ch);
+ }
+
+
cleanup_freq_tab (v);
+
}
}
data = hsh_data (ft->data);
/* Copy dereferenced data into freqs. */
- freqs = xmalloc (count* sizeof *freqs);
+ freqs = xmalloc (count * sizeof *freqs);
for (i = 0; i < count; i++)
{
struct freq *f = data[i];
sort (ft->missing, ft->n_missing, sizeof *ft->missing, compare, v);
/* Summary statistics. */
- ft->total_cases = ft->valid_cases = 0.0;
- for (f = ft->valid; f < ft->valid + ft->n_valid; f++)
+ ft->valid_cases = 0.0;
+ for(i = 0 ; i < ft->n_valid ; ++i )
{
- ft->total_cases += f->c;
+ f = &ft->valid[i];
+ ft->valid_cases += f->c;
+
+ }
- if ((v->type != NUMERIC || f->v.f != SYSMIS)
- && (cmd.miss != FRQ_EXCLUDE || !is_user_missing (&f->v, v)))
- ft->valid_cases += f->c;
+ ft->total_cases = ft->valid_cases ;
+ for(i = 0 ; i < ft->n_missing ; ++i )
+ {
+ f = &ft->missing[i];
+ ft->total_cases += f->c;
}
+
}
/* Frees the frequency table for variable V. */
int i;
for (i = 0; i < n_percentiles; i++)
- if (x <= percentiles[i])
+ if (x <= percentiles[i].p)
break;
- if (i >= n_percentiles || tokval != percentiles[i])
+
+ if (i >= n_percentiles || tokval != percentiles[i].p)
{
percentiles
= pool_realloc (int_pool, percentiles,
- (n_percentiles + 1) * sizeof *percentiles);
- percentile_values
- = pool_realloc (int_pool, percentile_values,
- (n_percentiles + 1) * sizeof *percentile_values);
- if (i < n_percentiles)
- {
+ (n_percentiles + 1) * sizeof (struct percentile ));
+
+ if (i < n_percentiles)
memmove (&percentiles[i + 1], &percentiles[i],
- (n_percentiles - i) * sizeof *percentiles);
- memmove (&percentile_values[i + 1], &percentile_values[i],
- (n_percentiles - i) * sizeof *percentile_values);
- }
- percentiles[i] = x;
+ (n_percentiles - i) * sizeof (struct percentile) );
+
+ percentiles[i].p = x;
n_percentiles++;
}
}
do
{
- if (tokval <= 0 || tokval >= 100)
+ if (tokval < 0 || tokval > 100)
{
- msg (SE, _("Percentiles must be greater than "
- "0 and less than 100."));
+ msg (SE, _("Percentiles must be between 0 and 100."));
return 0;
}
tab_title (t, 1, "%s: %s", v->name, v->label ? v->label : "");
tab_submit (t);
+
}
/* Sets the widths of all the columns and heights of all the rows in
calc_stats (struct variable * v, double d[frq_n_stats])
{
double W = v->p.frq.tab.valid_cases;
- double X_bar, X_mode, M2, M3, M4;
- struct freq *f;
+ struct moments *m;
+ struct freq *f=0;
int most_often;
+ double X_mode;
- double cum_total;
+ double rank;
int i = 0;
- double previous_value;
-
- /* Calculate the mean. */
- X_bar = 0.0;
- for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
- X_bar += f->v.f * f->c;
- X_bar /= W;
+ int idx;
+ double *median_value;
/* Calculate percentiles. */
- cum_total = 0;
- previous_value = SYSMIS;
- for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
+
+ /* If the 50th percentile was not explicitly requested then we must
+ calculate it anyway --- it's the median */
+ median_value = 0 ;
+ for (i = 0; i < n_percentiles; i++)
{
- cum_total += f->c ;
- for (; i < n_percentiles; i++)
+ if (percentiles[i].p == 0.5)
+ {
+ median_value = &percentiles[i].value;
+ break;
+ }
+ }
+
+ if ( 0 == median_value )
+ {
+ add_percentile (0.5);
+ implicit_50th = 1;
+ }
+
+ for (i = 0; i < n_percentiles; i++)
+ {
+ percentiles[i].flag = 0;
+ percentiles[i].flag2 = 0;
+ }
+
+ rank = 0;
+ for (idx = 0; idx < v->p.frq.tab.n_valid; ++idx)
+ {
+ static double prev_value = SYSMIS;
+ f = &v->p.frq.tab.valid[idx];
+ rank += f->c ;
+ for (i = 0; i < n_percentiles; i++)
{
- if (cum_total / v->p.frq.tab.valid_cases < percentiles[i])
- break;
+ double tp;
+ if ( percentiles[i].flag2 ) continue ;
+
+ if ( get_algorithm() != COMPATIBLE )
+ tp =
+ (v->p.frq.tab.valid_cases - 1) * percentiles[i].p;
+ else
+ tp =
+ (v->p.frq.tab.valid_cases + 1) * percentiles[i].p - 1;
- percentile_values[i] = previous_value;
+ if ( percentiles[i].flag )
+ {
+ percentiles[i].x2 = f->v.f;
+ percentiles[i].x1 = prev_value;
+ percentiles[i].flag2 = 1;
+ continue;
+ }
+
+ if (rank > tp )
+ {
+ if ( f->c > 1 && rank - (f->c - 1) > tp )
+ {
+ percentiles[i].x2 = percentiles[i].x1 = f->v.f;
+ percentiles[i].flag2 = 1;
+ }
+ else
+ {
+ percentiles[i].flag=1;
+ }
+
+ continue;
+ }
}
- previous_value = f->v.f;
+ prev_value = f->v.f;
}
+ for (i = 0; i < n_percentiles; i++)
+ {
+ /* Catches the case when p == 100% */
+ if ( ! percentiles[i].flag2 )
+ percentiles[i].x1 = percentiles[i].x2 = f->v.f;
+
+ /*
+ printf("percentile %d (p==%.2f); X1 = %g; X2 = %g\n",
+ i,percentiles[i].p,percentiles[i].x1,percentiles[i].x2);
+ */
+ }
+
+ for (i = 0; i < n_percentiles; i++)
+ {
+ struct freq_tab *ft = &v->p.frq.tab;
+ double s;
+
+ double dummy;
+ if ( get_algorithm() != COMPATIBLE )
+ {
+ s = modf((ft->valid_cases - 1) * percentiles[i].p , &dummy);
+ }
+ else
+ {
+ s = modf((ft->valid_cases + 1) * percentiles[i].p -1, &dummy);
+ }
+
+ percentiles[i].value = percentiles[i].x1 +
+ ( percentiles[i].x2 - percentiles[i].x1) * s ;
+
+ if ( percentiles[i].p == 0.50)
+ median_value = &percentiles[i].value;
+ }
+
+
/* Calculate the mode. */
most_often = -1;
X_mode = SYSMIS;
}
}
- /* Calculate moments about the mean. */
- M2 = M3 = M4 = 0.0;
+ /* Calculate moments. */
+ m = moments_create (MOMENT_KURTOSIS);
for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
- {
- double dev = f->v.f - X_bar;
- double tmp;
- tmp = dev * dev;
- M2 += f->c * tmp;
- tmp *= dev;
- M3 += f->c * tmp;
- tmp *= dev;
- M4 += f->c * tmp;
- }
-
+ moments_pass_one (m, f->v.f, f->c);
+ for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
+ moments_pass_two (m, f->v.f, f->c);
+ moments_calculate (m, NULL, &d[frq_mean], &d[frq_variance],
+ &d[frq_skew], &d[frq_kurt]);
+ moments_destroy (m);
+
/* Formulas below are taken from _SPSS Statistical Algorithms_. */
d[frq_min] = v->p.frq.tab.valid[0].v.f;
d[frq_max] = v->p.frq.tab.valid[v->p.frq.tab.n_valid - 1].v.f;
d[frq_mode] = X_mode;
d[frq_range] = d[frq_max] - d[frq_min];
- d[frq_median] = SYSMIS;
- d[frq_mean] = X_bar;
- d[frq_sum] = X_bar * W;
- d[frq_variance] = M2 / (W - 1);
+ d[frq_median] = *median_value;
+ d[frq_sum] = d[frq_mean] * W;
d[frq_stddev] = sqrt (d[frq_variance]);
d[frq_semean] = d[frq_stddev] / sqrt (W);
- if (W >= 3.0 && d[frq_variance] > 0)
- {
- double S = d[frq_stddev];
- d[frq_skew] = (W * M3 / ((W - 1.0) * (W - 2.0) * S * S * S));
- d[frq_seskew] = sqrt (6.0 * W * (W - 1.0)
- / ((W - 2.0) * (W + 1.0) * (W + 3.0)));
- }
- else
- {
- d[frq_skew] = d[frq_seskew] = SYSMIS;
- }
- if (W >= 4.0 && d[frq_variance] > 0)
- {
- double S2 = d[frq_variance];
- double SE_g1 = d[frq_seskew];
-
- d[frq_kurt] = ((W * (W + 1.0) * M4 - 3.0 * M2 * M2 * (W - 1.0))
- / ((W - 1.0) * (W - 2.0) * (W - 3.0) * S2 * S2));
- d[frq_sekurt] = sqrt ((4.0 * (W * W - 1.0) * SE_g1 * SE_g1)
- / ((W - 3.0) * (W + 5.0)));
- }
- else
- {
- d[frq_kurt] = d[frq_sekurt] = SYSMIS;
- }
+ d[frq_seskew] = calc_seskew (W);
+ d[frq_sekurt] = calc_sekurt (W);
}
/* Displays a table of all the statistics requested for variable V. */
struct tab_table *t;
int i, r;
+ int n_explicit_percentiles = n_percentiles;
+
+ if ( implicit_50th && n_percentiles > 0 )
+ --n_percentiles;
+
if (v->type == ALPHA)
return;
if (v->p.frq.tab.n_valid == 0)
}
calc_stats (v, stat_value);
- t = tab_create (2, n_stats + n_percentiles, 0);
+ t = tab_create (3, n_stats + n_explicit_percentiles + 2, 0);
tab_dim (t, tab_natural_dimensions);
- tab_vline (t, TAL_1 | TAL_SPACING, 1, 0, n_stats - 1);
- for (i = r = 0; i < frq_n_stats; i++)
+
+ tab_box (t, TAL_1, TAL_1, -1, -1 , 0 , 0 , 2, tab_nr(t) - 1) ;
+
+
+ tab_vline (t, TAL_1 , 2, 0, tab_nr(t) - 1);
+ tab_vline (t, TAL_1 | TAL_SPACING , 1, 0, tab_nr(t) - 1 ) ;
+
+ r=2; /* N missing and N valid are always dumped */
+
+ for (i = 0; i < frq_n_stats; i++)
if (stats & BIT_INDEX (i))
{
tab_text (t, 0, r, TAB_LEFT | TAT_TITLE,
gettext (st_name[i].s10));
- tab_float (t, 1, r, TAB_NONE, stat_value[i], 11, 3);
+ tab_float (t, 2, r, TAB_NONE, stat_value[i], 11, 3);
r++;
}
- for (i = 0; i < n_percentiles; i++, r++)
- {
- struct string ds;
+ tab_text (t, 0, 0, TAB_LEFT | TAT_TITLE, _("N"));
+ tab_text (t, 1, 0, TAB_LEFT | TAT_TITLE, _("Valid"));
+ tab_text (t, 1, 1, TAB_LEFT | TAT_TITLE, _("Missing"));
- ds_init (gen_pool, &ds, 20);
- ds_printf (&ds, "%s %d", _("Percentile"), (int) (percentiles[i] * 100));
+ tab_float(t, 2, 0, TAB_NONE, v->p.frq.tab.valid_cases, 11, 0);
+ tab_float(t, 2, 1, TAB_NONE,
+ v->p.frq.tab.total_cases - v->p.frq.tab.valid_cases, 11, 0);
- tab_text (t, 0, r, TAB_LEFT | TAT_TITLE, ds.string);
- tab_float (t, 1, r, TAB_NONE, percentile_values[i], 11, 3);
- ds_destroy (&ds);
+ for (i = 0; i < n_explicit_percentiles; i++, r++)
+ {
+ if ( i == 0 )
+ {
+ tab_text (t, 0, r, TAB_LEFT | TAT_TITLE, _("Percentiles"));
+ }
+
+ tab_float (t, 1, r, TAB_LEFT, percentiles[i].p * 100, 3, 0 );
+ tab_float (t, 2, r, TAB_NONE, percentiles[i].value, 11, 3);
+
}
tab_columns (t, SOM_COL_DOWN, 1);
}
else
tab_flags (t, SOMF_NO_TITLE);
-
+
+
tab_submit (t);
}
/*