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., 59 Temple Place - Suite 330, Boston, MA
- 02111-1307, USA. */
+ Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
+ 02110-1301, USA. */
/*
TODO:
#include "error.h"
#include <math.h>
#include <stdlib.h>
+#include <gsl/gsl_histogram.h>
+
#include "alloc.h"
#include "bitvector.h"
+#include "case.h"
+#include "dictionary.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 "value-labels.h"
#include "var.h"
#include "vfm.h"
+#include "settings.h"
+#include "chart.h"
+/* (headers) */
#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"),
norm:!nonormal/normal,
incr:increment(d:inc,"%s>0");
grouped=custom;
- ntiles=custom;
- percentiles=custom;
+ ntiles=integer;
+ +percentiles = double list;
statistics[st_]=1|mean,2|semean,3|median,4|mode,5|stddev,6|variance,
7|kurtosis,8|skewness,9|range,10|minimum,11|maximum,12|sum,
13|default,14|seskewness,15|sekurtosis,all,none.
/* (declarations) */
/* (functions) */
+/* Statistics. */
+enum
+ {
+ frq_mean = 0, frq_semean, frq_median, frq_mode, frq_stddev, frq_variance,
+ frq_kurt, frq_sekurt, frq_skew, frq_seskew, frq_range, frq_min, frq_max,
+ frq_sum, frq_n_stats
+ };
+
/* Description of a statistic. */
struct frq_info
{
};
/* 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 void add_percentile (double x) ;
+
+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 struct pool *int_pool; /* Integer mode. */
static struct pool *gen_pool; /* General mode. */
-/* Easier access to a_statistics. */
-#define stat cmd.a_statistics
+/* Frequency tables. */
+
+/* Frequency table entry. */
+struct freq
+ {
+ union value v; /* The value. */
+ double c; /* The number of occurrences of the value. */
+ };
+
+/* Types of frequency tables. */
+enum
+ {
+ FRQM_GENERAL,
+ FRQM_INTEGER
+ };
+
+/* Entire frequency table. */
+struct freq_tab
+ {
+ int mode; /* FRQM_GENERAL or FRQM_INTEGER. */
+
+ /* General mode. */
+ struct hsh_table *data; /* Undifferentiated data. */
+
+ /* Integer mode. */
+ double *vector; /* Frequencies proper. */
+ int min, max; /* The boundaries of the table. */
+ double out_of_range; /* Sum of weights of out-of-range values. */
+ double sysmis; /* Sum of weights of SYSMIS values. */
+
+ /* All modes. */
+ struct freq *valid; /* Valid freqs. */
+ int n_valid; /* Number of total freqs. */
+
+ struct freq *missing; /* Missing freqs. */
+ int n_missing; /* Number of missing freqs. */
+
+ /* Statistics. */
+ double total_cases; /* Sum of weights of all cases. */
+ double valid_cases; /* Sum of weights of valid cases. */
+ };
+
+
+/* Per-variable frequency data. */
+struct var_freqs
+ {
+ /* Freqency table. */
+ struct freq_tab tab; /* Frequencies table to use. */
+
+ /* Percentiles. */
+ int n_groups; /* Number of groups. */
+ double *groups; /* Groups. */
+
+ /* Statistics. */
+ double stat[frq_n_stats];
+ };
+
+static inline struct var_freqs *
+get_var_freqs (struct variable *v)
+{
+ assert (v != NULL);
+ assert (v->aux != NULL);
+ return v->aux;
+}
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 *);
static hsh_compare_func compare_value_numeric_d, compare_value_alpha_d;
static hsh_compare_func compare_freq_numeric_a, compare_freq_alpha_a;
static hsh_compare_func compare_freq_numeric_d, compare_freq_alpha_d;
+
+
+static void do_piechart(const struct variable *var,
+ const struct freq_tab *frq_tab);
+
+gsl_histogram *
+freq_tab_to_hist(const struct freq_tab *ft, const struct variable *var);
+
+
\f
/* Parser and outline. */
int i;
n_percentiles = 0;
- percentile_values = NULL;
percentiles = NULL;
n_variables = 0;
v_variables = NULL;
- for (i = 0; i < dict_get_var_cnt (default_dict); i++)
- dict_get_var(default_dict, i)->p.frq.used = 0;
-
if (!parse_frequencies (&cmd))
return CMD_FAILURE;
/* Figure out statistics to calculate. */
stats = 0;
- if (stat[FRQ_ST_DEFAULT] || !cmd.sbc_statistics)
+ if (cmd.a_statistics[FRQ_ST_DEFAULT] || !cmd.sbc_statistics)
stats |= frq_default;
- if (stat[FRQ_ST_ALL])
+ if (cmd.a_statistics[FRQ_ST_ALL])
stats |= frq_all;
if (cmd.sort != FRQ_AVALUE && cmd.sort != FRQ_DVALUE)
stats &= ~frq_median;
for (i = 0; i < frq_n_stats; i++)
- if (stat[st_name[i].st_indx])
+ if (cmd.a_statistics[st_name[i].st_indx])
stats |= BIT_INDEX (i);
if (stats & frq_kurt)
stats |= frq_sekurt;
if (chart != GFT_NONE || cmd.sbc_ntiles)
cmd.sort = FRQ_AVALUE;
+ /* Work out what percentiles need to be calculated */
+ if ( cmd.sbc_percentiles )
+ {
+ for ( i = 0 ; i < MAXLISTS ; ++i )
+ {
+ int pl;
+ subc_list_double *ptl_list = &cmd.dl_percentiles[i];
+ for ( pl = 0 ; pl < subc_list_double_count(ptl_list); ++pl)
+ add_percentile(subc_list_double_at(ptl_list,pl) / 100.0 );
+ }
+ }
+ if ( cmd.sbc_ntiles )
+ {
+ for ( i = 0 ; i < cmd.sbc_ntiles ; ++i )
+ {
+ int j;
+ for (j = 0; j <= cmd.n_ntiles[i]; ++j )
+ add_percentile(j / (double) cmd.n_ntiles[i]);
+ }
+ }
+
+
/* Do it! */
procedure_with_splits (precalc, calc, postcalc, NULL);
+ free_frequencies(&cmd);
+
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];
- struct freq_tab *ft = &v->p.frq.tab;
+ const union value *val = case_data (c, v->fv);
+ struct freq_tab *ft = &get_var_freqs (v)->tab;
- switch (v->p.frq.tab.mode)
+ switch (ft->mode)
{
case FRQM_GENERAL:
{
+
/* General mode. */
struct freq **fpp = (struct freq **) hsh_probe (ft->data, val);
-
+
if (*fpp != NULL)
(*fpp)->c += weight;
else
case FRQM_INTEGER:
/* Integer mode. */
if (val->f == SYSMIS)
- v->p.frq.tab.sysmis += weight;
+ ft->sysmis += weight;
else if (val->f > INT_MIN+1 && val->f < INT_MAX-1)
{
int i = val->f;
- if (i >= v->p.frq.tab.min && i <= v->p.frq.tab.max)
- v->p.frq.tab.vector[i - v->p.frq.tab.min] += weight;
+ if (i >= ft->min && i <= ft->max)
+ ft->vector[i - ft->min] += weight;
}
else
- v->p.frq.tab.out_of_range += weight;
+ ft->out_of_range += weight;
break;
default:
assert (0);
for (i = 0; i < n_variables; i++)
{
struct variable *v = v_variables[i];
+ struct freq_tab *ft = &get_var_freqs (v)->tab;
- if (v->p.frq.tab.mode == FRQM_GENERAL)
+ if (ft->mode == FRQM_GENERAL)
{
hsh_hash_func *hash;
hsh_compare_func *compare;
hash = hash_value_alpha;
compare = compare_value_alpha_a;
}
- v->p.frq.tab.data = hsh_create (16, compare, hash, NULL, v);
+ ft->data = hsh_create (16, compare, hash, NULL, v);
}
else
{
int j;
- for (j = (v->p.frq.tab.max - v->p.frq.tab.min); j >= 0; j--)
- v->p.frq.tab.vector[j] = 0.0;
- v->p.frq.tab.out_of_range = 0.0;
- v->p.frq.tab.sysmis = 0.0;
+ for (j = (ft->max - ft->min); j >= 0; j--)
+ ft->vector[j] = 0.0;
+ ft->out_of_range = 0.0;
+ ft->sysmis = 0.0;
}
}
}
for (i = 0; i < n_variables; i++)
{
struct variable *v = v_variables[i];
+ struct var_freqs *vf = get_var_freqs (v);
+ struct freq_tab *ft = &vf->tab;
int n_categories;
int dumped_freq_tab = 1;
postprocess_freq_tab (v);
/* Frequencies tables. */
- n_categories = v->p.frq.tab.n_valid + v->p.frq.tab.n_missing;
+ n_categories = ft->n_valid + ft->n_missing;
if (cmd.table == FRQ_TABLE
|| (cmd.table == FRQ_LIMIT && n_categories <= cmd.limit))
switch (cmd.cond)
if (n_stats)
dump_statistics (v, !dumped_freq_tab);
+
+
+ if ( chart == GFT_HIST)
+ {
+ double d[frq_n_stats];
+ struct normal_curve norm;
+ gsl_histogram *hist ;
+
+
+ norm.N = vf->tab.valid_cases;
+
+ calc_stats(v,d);
+ norm.mean = d[frq_mean];
+ norm.stddev = d[frq_stddev];
+
+ hist = freq_tab_to_hist(ft,v);
+
+ histogram_plot(hist, var_to_string(v), &norm, normal);
+
+ gsl_histogram_free(hist);
+ }
+
+
+ if ( chart == GFT_PIE)
+ {
+ do_piechart(v_variables[i], ft);
+ }
+
+
+
cleanup_freq_tab (v);
+
}
}
struct freq *freqs, *f;
size_t i;
- assert (v->p.frq.tab.mode == FRQM_GENERAL);
+ ft = &get_var_freqs (v)->tab;
+ assert (ft->mode == FRQM_GENERAL);
compare = get_freq_comparator (cmd.sort, v->type);
- ft = &v->p.frq.tab;
/* Extract data from hash table. */
count = hsh_count (ft->data);
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. */
static void
cleanup_freq_tab (struct variable *v)
{
- assert (v->p.frq.tab.mode == FRQM_GENERAL);
- free (v->p.frq.tab.valid);
- hsh_destroy (v->p.frq.tab.data);
+ struct freq_tab *ft = &get_var_freqs (v)->tab;
+ assert (ft->mode == FRQM_GENERAL);
+ free (ft->valid);
+ hsh_destroy (ft->data);
}
/* Parses the VARIABLES subcommand, adding to
PV_APPEND | PV_NO_SCRATCH))
return 0;
- for (i = old_n_variables; i < n_variables; i++)
- v_variables[i]->p.frq.tab.mode = FRQM_GENERAL;
-
if (!lex_match ('('))
mode = FRQM_GENERAL;
else
for (i = old_n_variables; i < n_variables; i++)
{
struct variable *v = v_variables[i];
+ struct var_freqs *vf;
- if (v->p.frq.used != 0)
+ if (v->aux != NULL)
{
msg (SE, _("Variable %s specified multiple times on VARIABLES "
"subcommand."), v->name);
return 0;
}
-
- v->p.frq.used = 1; /* Used simply as a marker. */
-
- v->p.frq.tab.valid = v->p.frq.tab.missing = NULL;
+ if (mode == FRQM_INTEGER && v->type != NUMERIC)
+ {
+ msg (SE, _("Integer mode specified, but %s is not a numeric "
+ "variable."), v->name);
+ return 0;
+ }
+ vf = var_attach_aux (v, xmalloc (sizeof *vf), var_dtor_free);
+ vf->tab.mode = mode;
+ vf->tab.valid = vf->tab.missing = NULL;
if (mode == FRQM_INTEGER)
{
- if (v->type != NUMERIC)
- {
- msg (SE, _("Integer mode specified, but %s is not a numeric "
- "variable."), v->name);
- return 0;
- }
-
- v->p.frq.tab.min = min;
- v->p.frq.tab.max = max;
- v->p.frq.tab.vector = pool_alloc (int_pool,
- sizeof (struct freq) * (max - min + 1));
+ vf->tab.min = min;
+ vf->tab.max = max;
+ vf->tab.vector = pool_alloc (int_pool,
+ sizeof (struct freq) * (max - min + 1));
}
else
- v->p.frq.tab.vector = NULL;
-
- v->p.frq.n_groups = 0;
- v->p.frq.groups = NULL;
+ vf->tab.vector = NULL;
+ vf->n_groups = 0;
+ vf->groups = NULL;
}
return 1;
}
-/* Parses the GROUPED subcommand, setting the frq.{n_grouped,grouped}
+/* Parses the GROUPED subcommand, setting the n_grouped, grouped
fields of specified variables. */
static int
frq_custom_grouped (struct cmd_frequencies *cmd UNUSED)
{
nl = ml = 0;
dl = NULL;
- while (token == T_NUM)
+ while (lex_integer ())
{
if (nl >= ml)
{
}
for (i = 0; i < n; i++)
- {
- if (v[i]->p.frq.used == 0)
- msg (SE, _("Variables %s specified on GROUPED but not on "
- "VARIABLES."), v[i]->name);
- if (v[i]->p.frq.groups != NULL)
- msg (SE, _("Variables %s specified multiple times on GROUPED "
- "subcommand."), v[i]->name);
- else
- {
- v[i]->p.frq.n_groups = nl;
- v[i]->p.frq.groups = dl;
- }
- }
+ if (v[i]->aux == NULL)
+ msg (SE, _("Variables %s specified on GROUPED but not on "
+ "VARIABLES."), v[i]->name);
+ else
+ {
+ struct var_freqs *vf = get_var_freqs (v[i]);
+
+ if (vf->groups != NULL)
+ msg (SE, _("Variables %s specified multiple times on GROUPED "
+ "subcommand."), v[i]->name);
+ else
+ {
+ vf->n_groups = nl;
+ vf->groups = dl;
+ }
+ }
free (v);
if (!lex_match ('/'))
break;
int i;
for (i = 0; i < n_percentiles; i++)
- if (x <= percentiles[i])
- break;
- if (i >= n_percentiles || tokval != percentiles[i])
+ {
+ /* Do nothing if it's already in the list */
+ if ( fabs(x - percentiles[i].p) < DBL_EPSILON )
+ return;
+
+ if (x < percentiles[i].p)
+ break;
+ }
+
+ 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++;
- }
-}
+ (n_percentiles - i) * sizeof (struct percentile) );
-/* Parses the PERCENTILES subcommand, adding user-specified
- percentiles to the list. */
-static int
-frq_custom_percentiles (struct cmd_frequencies *cmd UNUSED)
-{
- lex_match ('=');
- if (token != T_NUM)
- {
- msg (SE, _("Percentile list expected after PERCENTILES."));
- return 0;
- }
-
- do
- {
- if (tokval <= 0 || tokval >= 100)
- {
- msg (SE, _("Percentiles must be greater than "
- "0 and less than 100."));
- return 0;
- }
-
- add_percentile (tokval / 100.0);
- lex_get ();
- lex_match (',');
+ percentiles[i].p = x;
+ n_percentiles++;
}
- while (token == T_NUM);
- return 1;
}
-/* Parses the NTILES subcommand, adding the percentiles that
- correspond to the specified evenly-distributed ntiles. */
-static int
-frq_custom_ntiles (struct cmd_frequencies *cmd UNUSED)
-{
- int i;
-
- lex_match ('=');
- if (!lex_force_int ())
- return 0;
- for (i = 1; i < lex_integer (); i++)
- add_percentile (1.0 / lex_integer () * i);
- lex_get ();
- return 1;
-}
-\f
/* Comparison functions. */
/* Hash of numeric values. */
/* Displays a full frequency table for variable V. */
static void
-dump_full (struct variable * v)
+dump_full (struct variable *v)
{
int n_categories;
+ struct freq_tab *ft;
struct freq *f;
struct tab_table *t;
int r;
int lab = cmd.labels == FRQ_LABELS;
- n_categories = v->p.frq.tab.n_valid + v->p.frq.tab.n_missing;
+ ft = &get_var_freqs (v)->tab;
+ n_categories = ft->n_valid + ft->n_missing;
t = tab_create (5 + lab, n_categories + 3, 0);
tab_headers (t, 0, 0, 2, 0);
tab_dim (t, full_dim);
TAB_CENTER | TAT_TITLE, gettext (p->s));
r = 2;
- for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
+ for (f = ft->valid; f < ft->missing; f++)
{
double percent, valid_percent;
cum_freq += f->c;
- percent = f->c / v->p.frq.tab.total_cases * 100.0;
- valid_percent = f->c / v->p.frq.tab.valid_cases * 100.0;
+ percent = f->c / ft->total_cases * 100.0;
+ valid_percent = f->c / ft->valid_cases * 100.0;
cum_total += valid_percent;
if (lab)
tab_float (t, 4 + lab, r, TAB_NONE, cum_total, 5, 1);
r++;
}
- for (; f < &v->p.frq.tab.valid[n_categories]; f++)
+ for (; f < &ft->valid[n_categories]; f++)
{
cum_freq += f->c;
tab_value (t, 0 + lab, r, TAB_NONE, &f->v, &v->print);
tab_float (t, 1 + lab, r, TAB_NONE, f->c, 8, 0);
tab_float (t, 2 + lab, r, TAB_NONE,
- f->c / v->p.frq.tab.total_cases * 100.0, 5, 1);
+ f->c / ft->total_cases * 100.0, 5, 1);
tab_text (t, 3 + lab, r, TAB_NONE, _("Missing"));
r++;
}
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
/* Display condensed frequency table for variable V. */
static void
-dump_condensed (struct variable * v)
+dump_condensed (struct variable *v)
{
int n_categories;
+ struct freq_tab *ft;
struct freq *f;
struct tab_table *t;
int r;
double cum_total = 0.0;
- n_categories = v->p.frq.tab.n_valid + v->p.frq.tab.n_missing;
+ ft = &get_var_freqs (v)->tab;
+ n_categories = ft->n_valid + ft->n_missing;
t = tab_create (4, n_categories + 2, 0);
tab_headers (t, 0, 0, 2, 0);
tab_dim (t, condensed_dim);
r = 2;
- for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
+ for (f = ft->valid; f < ft->missing; f++)
{
double percent;
- percent = f->c / v->p.frq.tab.total_cases * 100.0;
- cum_total += f->c / v->p.frq.tab.valid_cases * 100.0;
+ percent = f->c / ft->total_cases * 100.0;
+ cum_total += f->c / ft->valid_cases * 100.0;
tab_value (t, 0, r, TAB_NONE, &f->v, &v->print);
tab_float (t, 1, r, TAB_NONE, f->c, 8, 0);
tab_float (t, 3, r, TAB_NONE, cum_total, 3, 0);
r++;
}
- for (; f < &v->p.frq.tab.valid[n_categories]; f++)
+ for (; f < &ft->valid[n_categories]; f++)
{
tab_value (t, 0, r, TAB_NONE, &f->v, &v->print);
tab_float (t, 1, r, TAB_NONE, f->c, 8, 0);
tab_float (t, 2, r, TAB_NONE,
- f->c / v->p.frq.tab.total_cases * 100.0, 3, 0);
+ f->c / ft->total_cases * 100.0, 3, 0);
r++;
}
/* Calculates all the pertinent statistics for variable V, putting
them in array D[]. FIXME: This could be made much more optimal. */
static void
-calc_stats (struct variable * v, double d[frq_n_stats])
+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 freq_tab *ft = &get_var_freqs (v)->tab;
+ double W = ft->valid_cases;
+ 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++)
+ {
+ if (percentiles[i].p == 0.5)
+ {
+ median_value = &percentiles[i].value;
+ break;
+ }
+ }
+
+ if ( 0 == median_value )
{
- cum_total += f->c ;
- for (; i < n_percentiles; i++)
+ 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 < ft->n_valid; ++idx)
+ {
+ static double prev_value = SYSMIS;
+ f = &ft->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 =
+ (ft->valid_cases - 1) * percentiles[i].p;
+ else
+ tp =
+ (ft->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 = &get_var_freqs (v)->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;
- for (f = v->p.frq.tab.valid; f < v->p.frq.tab.missing; f++)
+ for (f = ft->valid; f < ft->missing; f++)
{
if (most_often < f->c)
{
}
}
- /* Calculate moments about the mean. */
- M2 = M3 = M4 = 0.0;
- 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;
- }
-
+ /* Calculate moments. */
+ m = moments_create (MOMENT_KURTOSIS);
+ for (f = ft->valid; f < ft->missing; f++)
+ moments_pass_one (m, f->v.f, f->c);
+ for (f = ft->valid; f < ft->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_min] = ft->valid[0].v.f;
+ d[frq_max] = ft->valid[ft->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. */
static void
-dump_statistics (struct variable * v, int show_varname)
+dump_statistics (struct variable *v, int show_varname)
{
+ struct freq_tab *ft;
double stat_value[frq_n_stats];
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)
+ ft = &get_var_freqs (v)->tab;
+ if (ft->n_valid == 0)
{
msg (SW, _("No valid data for variable %s; statistics not displayed."),
v->name);
}
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"));
+
+ tab_float(t, 2, 0, TAB_NONE, ft->valid_cases, 11, 0);
+ tab_float(t, 2, 1, TAB_NONE, ft->total_cases - ft->valid_cases, 11, 0);
- ds_init (gen_pool, &ds, 20);
- ds_printf (&ds, "%s %d", _("Percentile"), (int) (percentiles[i] * 100));
- tab_text (t, 0, r, TAB_LEFT | TAT_TITLE, ds.string);
- tab_float (t, 1, r, TAB_NONE, percentile_values[i], 11, 3);
+ 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);
- ds_destroy (&ds);
}
tab_columns (t, SOM_COL_DOWN, 1);
}
else
tab_flags (t, SOMF_NO_TITLE);
-
+
+
tab_submit (t);
}
+
+
+/* Create a gsl_histogram from a freq_tab */
+gsl_histogram *
+freq_tab_to_hist(const struct freq_tab *ft, const struct variable *var)
+{
+ int i;
+ double x_min = DBL_MAX;
+ double x_max = -DBL_MAX;
+
+ gsl_histogram *hist;
+ const double bins = 11;
+
+ struct hsh_iterator hi;
+ struct hsh_table *fh = ft->data;
+ struct freq *frq;
+
+ /* Find out the extremes of the x value */
+ for ( frq = hsh_first(fh, &hi); frq != 0; frq = hsh_next(fh, &hi) )
+ {
+ if ( is_missing(&frq->v, var))
+ continue;
+
+ if ( frq->v.f < x_min ) x_min = frq->v.f ;
+ if ( frq->v.f > x_max ) x_max = frq->v.f ;
+ }
+
+ hist = histogram_create(bins, x_min, x_max);
+
+ for( i = 0 ; i < ft->n_valid ; ++i )
+ {
+ frq = &ft->valid[i];
+ gsl_histogram_accumulate(hist, frq->v.f, frq->c);
+ }
+
+ return hist;
+}
+
+
+static struct slice *
+freq_tab_to_slice_array(const struct freq_tab *frq_tab,
+ const struct variable *var,
+ int *n_slices);
+
+
+/* Allocate an array of slices and fill them from the data in frq_tab
+ n_slices will contain the number of slices allocated.
+ The caller is responsible for freeing slices
+*/
+static struct slice *
+freq_tab_to_slice_array(const struct freq_tab *frq_tab,
+ const struct variable *var,
+ int *n_slices)
+{
+ int i;
+ struct slice *slices;
+
+ *n_slices = frq_tab->n_valid;
+
+ slices = xmalloc ( *n_slices * sizeof (struct slice ) );
+
+ for (i = 0 ; i < *n_slices ; ++i )
+ {
+ const struct freq *frq = &frq_tab->valid[i];
+
+ slices[i].label = value_to_string(&frq->v, var);
+
+ slices[i].magnetude = frq->c;
+ }
+
+ return slices;
+}
+
+
+
+
+static void
+do_piechart(const struct variable *var, const struct freq_tab *frq_tab)
+{
+ struct slice *slices;
+ int n_slices;
+
+ slices = freq_tab_to_slice_array(frq_tab, var, &n_slices);
+
+ piechart_plot(var_to_string(var), slices, n_slices);
+
+ free(slices);
+}
+
+
/*
Local Variables:
mode: c