1 /* PSPP - a program for statistical analysis.
2 Copyright (C) 2009, 2010, 2011, 2012 Free Software Foundation, Inc.
4 This program is free software: you can redistribute it and/or modify
5 it under the terms of the GNU General Public License as published by
6 the Free Software Foundation, either version 3 of the License, or
7 (at your option) any later version.
9 This program is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 GNU General Public License for more details.
14 You should have received a copy of the GNU General Public License
15 along with this program. If not, see <http://www.gnu.org/licenses/>. */
19 #include "math/categoricals.h"
20 #include "math/interaction.h"
24 #include "data/case.h"
25 #include "data/value.h"
26 #include "data/variable.h"
27 #include "libpspp/array.h"
28 #include "libpspp/hmap.h"
29 #include "libpspp/pool.h"
30 #include "libpspp/str.h"
31 #include "libpspp/hash-functions.h"
33 #include "gl/xalloc.h"
35 #define CATEGORICALS_DEBUG 0
39 struct hmap_node node; /* Node in hash map. */
41 union value val; /* The value */
43 int index; /* A zero based unique index for this value */
47 struct interaction_value
49 struct hmap_node node; /* Node in hash map */
51 struct ccase *ccase; /* A case (probably the first in the dataset) which matches
54 double cc; /* Total of the weights of cases matching this interaction */
56 void *user_data; /* A pointer to data which the caller can store stuff */
59 static struct value_node *
60 lookup_value (const struct hmap *map, const union value *val, unsigned int hash, int width)
62 struct value_node *vn = NULL;
63 HMAP_FOR_EACH_WITH_HASH (vn, struct value_node, node, hash, map)
65 if (value_equal (&vn->val, val, width))
74 struct hmap_node node; /* Node in hash map. */
75 const struct variable *var; /* The variable */
77 struct hmap valmap; /* A map of value nodes */
78 int n_vals; /* Number of values for this variable */
82 /* Comparison function to sort value_nodes in ascending order */
84 compare_value_node_3way (const void *vn1_, const void *vn2_, const void *aux)
86 const struct value_node *const *vn1p = vn1_;
87 const struct value_node *const *vn2p = vn2_;
89 const struct variable_node *vn = aux;
92 return value_compare_3way (&(*vn1p)->val, &(*vn2p)->val, var_get_width (vn->var));
97 static struct variable_node *
98 lookup_variable (const struct hmap *map, const struct variable *var, unsigned int hash)
100 struct variable_node *vn = NULL;
101 HMAP_FOR_EACH_WITH_HASH (vn, struct variable_node, node, hash, map)
106 fprintf (stderr, "%s:%d Warning: Hash table collision\n", __FILE__, __LINE__);
113 struct interact_params
115 /* A map of cases indexed by a interaction_value */
118 const struct interaction *iact;
120 int base_subscript_short;
121 int base_subscript_long;
123 /* The number of distinct values of this interaction */
126 /* An array of integers df_n * df_{n-1} * df_{n-2} ...
127 These are the products of the degrees of freedom for the current
128 variable and all preceeding variables */
133 /* A map of interaction_values indexed by subscript */
134 struct interaction_value **reverse_interaction_value_map;
140 /* Comparison function to sort the reverse_value_map in ascending order */
142 compare_interaction_value_3way (const void *vn1_, const void *vn2_, const void *aux)
144 const struct interaction_value *const *vn1p = vn1_;
145 const struct interaction_value *const *vn2p = vn2_;
147 const struct interact_params *iap = aux;
149 return interaction_case_cmp_3way (iap->iact, (*vn1p)->ccase, (*vn2p)->ccase);
154 /* The weight variable */
155 const struct variable *wv;
157 /* An array of interact_params */
158 struct interact_params *iap;
160 /* Map whose members are the union of the variables which comprise IAP */
163 /* The size of IAP. (ie, the number of interactions involved.) */
166 /* The number of categorical variables which contain entries.
167 In the absence of missing values, this will be equal to N_IAP */
172 /* A map to enable the lookup of variables indexed by subscript.
173 This map considers only the N - 1 of the N variables.
175 int *reverse_variable_map_short;
177 /* Like the above, but uses all N variables */
178 int *reverse_variable_map_long;
184 /* Missing values in the dependent varirable to be excluded */
185 enum mv_class dep_excl;
187 /* Missing values in the factor variables to be excluded */
188 enum mv_class fctr_excl;
195 const struct payload *payload;
199 categoricals_dump (const struct categoricals *cat)
201 if (CATEGORICALS_DEBUG)
205 printf ("Reverse Variable Map (short):\n");
206 for (i = 0; i < cat->df_sum; ++i)
208 printf (" %d", cat->reverse_variable_map_short[i]);
212 printf ("Reverse Variable Map (long):\n");
213 for (i = 0; i < cat->n_cats_total; ++i)
215 printf (" %d", cat->reverse_variable_map_long[i]);
219 printf ("Number of interactions %d\n", cat->n_iap);
220 for (i = 0 ; i < cat->n_iap; ++i)
224 const struct interact_params *iap = &cat->iap[i];
225 const struct interaction *iact = iap->iact;
227 ds_init_empty (&str);
228 interaction_to_string (iact, &str);
230 printf ("\nInteraction: \"%s\" (number of categories: %d); ", ds_cstr (&str), iap->n_cats);
232 printf ("Base index (short/long): %d/%d\n", iap->base_subscript_short, iap->base_subscript_long);
235 for (v = 0; v < hmap_count (&iap->ivmap); ++v)
238 const struct interaction_value *iv = iap->reverse_interaction_value_map[v];
240 if (v > 0) printf (" ");
242 for (vv = 0; vv < iact->n_vars; ++vv)
244 const struct variable *var = iact->vars[vv];
245 const union value *val = case_data (iv->ccase, var);
246 unsigned int varhash = hash_pointer (var, 0);
247 struct variable_node *vn = lookup_variable (&cat->varmap, var, varhash);
249 const int width = var_get_width (var);
250 unsigned int valhash = value_hash (val, width, 0);
251 struct value_node *valn = lookup_value (&vn->valmap, val, valhash, width);
253 assert (vn->var == var);
255 printf ("%g(%d)", val->f, valn->index);
256 if (vv < iact->n_vars - 1)
267 categoricals_destroy (struct categoricals *cat)
269 struct variable_node *vn = NULL;
274 for (i = 0; i < cat->n_iap; ++i)
276 struct interaction_value *iv = NULL;
277 /* Interate over each interaction value, and unref any cases that we reffed */
278 HMAP_FOR_EACH (iv, struct interaction_value, node, &cat->iap[i].ivmap)
280 if (cat->payload && cat->payload->destroy)
281 cat->payload->destroy (cat->aux1, cat->aux2, iv->user_data);
282 case_unref (iv->ccase);
285 free (cat->iap[i].enc_sum);
286 free (cat->iap[i].df_prod);
287 hmap_destroy (&cat->iap[i].ivmap);
290 /* Interate over each variable and delete its value map */
291 HMAP_FOR_EACH (vn, struct variable_node, node, &cat->varmap)
293 hmap_destroy (&vn->valmap);
296 hmap_destroy (&cat->varmap);
298 pool_destroy (cat->pool);
305 static struct interaction_value *
306 lookup_case (const struct hmap *map, const struct interaction *iact, const struct ccase *c)
308 struct interaction_value *iv = NULL;
309 size_t hash = interaction_case_hash (iact, c, 0);
311 HMAP_FOR_EACH_WITH_HASH (iv, struct interaction_value, node, hash, map)
313 if (interaction_case_equal (iact, c, iv->ccase))
316 fprintf (stderr, "Warning: Hash table collision\n");
323 categoricals_sane (const struct categoricals *cat)
328 struct categoricals *
329 categoricals_create (struct interaction *const*inter, size_t n_inter,
330 const struct variable *wv, enum mv_class dep_excl, enum mv_class fctr_excl)
333 struct categoricals *cat = xmalloc (sizeof *cat);
335 cat->n_iap = n_inter;
337 cat->n_cats_total = 0;
339 cat->reverse_variable_map_short = NULL;
340 cat->reverse_variable_map_long = NULL;
341 cat->pool = pool_create ();
342 cat->dep_excl = dep_excl;
343 cat->fctr_excl = fctr_excl;
348 cat->iap = pool_calloc (cat->pool, cat->n_iap, sizeof *cat->iap);
350 hmap_init (&cat->varmap);
351 for (i = 0 ; i < cat->n_iap; ++i)
354 hmap_init (&cat->iap[i].ivmap);
355 cat->iap[i].iact = inter[i];
356 cat->iap[i].cc = 0.0;
357 for (v = 0; v < inter[i]->n_vars; ++v)
359 const struct variable *var = inter[i]->vars[v];
360 unsigned int hash = hash_pointer (var, 0);
361 struct variable_node *vn = lookup_variable (&cat->varmap, var, hash);
364 vn = pool_malloc (cat->pool, sizeof *vn);
367 hmap_init (&vn->valmap);
369 hmap_insert (&cat->varmap, &vn->node, hash);
380 categoricals_update (struct categoricals *cat, const struct ccase *c)
383 struct variable_node *vn = NULL;
389 weight = cat->wv ? case_data (c, cat->wv)->f : 1.0;
391 assert (NULL == cat->reverse_variable_map_short);
392 assert (NULL == cat->reverse_variable_map_long);
394 /* Interate over each variable, and add the value of that variable
395 to the appropriate map, if it's not already present. */
396 HMAP_FOR_EACH (vn, struct variable_node, node, &cat->varmap)
398 const int width = var_get_width (vn->var);
399 const union value *val = case_data (c, vn->var);
400 unsigned int hash = value_hash (val, width, 0);
402 struct value_node *valn = lookup_value (&vn->valmap, val, hash, width);
405 valn = pool_malloc (cat->pool, sizeof *valn);
408 value_init (&valn->val, width);
409 value_copy (&valn->val, val, width);
410 hmap_insert (&vn->valmap, &valn->node, hash);
414 for (i = 0 ; i < cat->n_iap; ++i)
416 const struct interaction *iact = cat->iap[i].iact;
419 struct interaction_value *node;
421 if ( interaction_case_is_missing (iact, c, cat->fctr_excl))
424 hash = interaction_case_hash (iact, c, 0);
425 node = lookup_case (&cat->iap[i].ivmap, iact, c);
429 node = pool_malloc (cat->pool, sizeof *node);
430 node->ccase = case_ref (c);
433 hmap_insert (&cat->iap[i].ivmap, &node->node, hash);
437 node->user_data = cat->payload->create (cat->aux1, cat->aux2);
444 cat->iap[i].cc += weight;
448 double weight = cat->wv ? case_data (c, cat->wv)->f : 1.0;
449 cat->payload->update (cat->aux1, cat->aux2, node->user_data, c, weight);
455 /* Return the number of categories (distinct values) for interction N */
457 categoricals_n_count (const struct categoricals *cat, size_t n)
459 return hmap_count (&cat->iap[n].ivmap);
464 categoricals_df (const struct categoricals *cat, size_t n)
466 const struct interact_params *iap = &cat->iap[n];
467 return iap->df_prod[iap->iact->n_vars - 1];
471 /* Return the total number of categories */
473 categoricals_n_total (const struct categoricals *cat)
475 if (!categoricals_is_complete (cat))
478 return cat->n_cats_total;
482 categoricals_df_total (const struct categoricals *cat)
491 categoricals_is_complete (const struct categoricals *cat)
493 return (NULL != cat->reverse_variable_map_short);
497 /* This function must be called *before* any call to categoricals_get_*_by subscript and
498 *after* all calls to categoricals_update */
500 categoricals_done (const struct categoricals *cat_)
502 /* Implementation Note: Whilst this function is O(n) in cat->n_cats_total, in most
503 uses it will be more efficient that using a tree based structure, since it
504 is called only once, and means that subsequent lookups will be O(1).
506 1 call of O(n) + 10^9 calls of O(1) is better than 10^9 calls of O(log n).
508 struct categoricals *cat = CONST_CAST (struct categoricals *, cat_);
518 cat->n_cats_total = 0;
520 /* Calculate the degrees of freedom, and the number of categories */
521 for (i = 0 ; i < cat->n_iap; ++i)
524 const struct interaction *iact = cat->iap[i].iact;
526 cat->iap[i].df_prod = iact->n_vars ? xcalloc (iact->n_vars, sizeof (int)) : NULL;
528 cat->iap[i].n_cats = 1;
530 for (v = 0 ; v < iact->n_vars; ++v)
533 const struct variable *var = iact->vars[v];
535 struct variable_node *vn = lookup_variable (&cat->varmap, var, hash_pointer (var, 0));
537 struct value_node *valnd = NULL;
538 struct value_node **array ;
540 assert (vn->n_vals == hmap_count (&vn->valmap));
548 /* Sort the VALMAP here */
549 array = xcalloc (sizeof *array, vn->n_vals);
551 HMAP_FOR_EACH (valnd, struct value_node, node, &vn->valmap)
553 /* Note: This loop is probably superfluous, it could be done in the
554 update stage (at the expense of a realloc) */
558 sort (array, vn->n_vals, sizeof (*array),
559 compare_value_node_3way, vn);
561 for (x = 0; x < vn->n_vals; ++x)
563 struct value_node *vvv = array[x];
568 cat->iap[i].df_prod[v] = df * (vn->n_vals - 1);
569 df = cat->iap[i].df_prod[v];
571 cat->iap[i].n_cats *= vn->n_vals;
575 cat->df_sum += cat->iap[i].df_prod [v - 1];
577 cat->n_cats_total += cat->iap[i].n_cats;
581 cat->reverse_variable_map_short = pool_calloc (cat->pool,
583 sizeof *cat->reverse_variable_map_short);
585 cat->reverse_variable_map_long = pool_calloc (cat->pool,
587 sizeof *cat->reverse_variable_map_long);
589 for (i = 0 ; i < cat->n_iap; ++i)
591 struct interaction_value *ivn = NULL;
594 struct interact_params *iap = &cat->iap[i];
596 iap->base_subscript_short = idx_short;
597 iap->base_subscript_long = idx_long;
599 iap->reverse_interaction_value_map = pool_calloc (cat->pool, iap->n_cats,
600 sizeof *iap->reverse_interaction_value_map);
602 HMAP_FOR_EACH (ivn, struct interaction_value, node, &iap->ivmap)
604 iap->reverse_interaction_value_map[x++] = ivn;
607 assert (x <= iap->n_cats);
609 /* For some purposes (eg CONTRASTS in ONEWAY) the values need to be sorted */
610 sort (iap->reverse_interaction_value_map, x, sizeof (*iap->reverse_interaction_value_map),
611 compare_interaction_value_3way, iap);
613 /* Fill the remaining values with null */
614 for (ii = x ; ii < iap->n_cats; ++ii)
615 iap->reverse_interaction_value_map[ii] = NULL;
617 /* Populate the reverse variable maps. */
620 for (ii = 0; ii < iap->df_prod [iap->iact->n_vars - 1]; ++ii)
621 cat->reverse_variable_map_short[idx_short++] = i;
624 for (ii = 0; ii < iap->n_cats; ++ii)
625 cat->reverse_variable_map_long[idx_long++] = i;
628 assert (cat->n_vars <= cat->n_iap);
630 categoricals_dump (cat);
632 /* Tally up the sums for all the encodings */
633 for (i = 0 ; i < cat->n_iap; ++i)
636 struct interact_params *iap = &cat->iap[i];
637 const struct interaction *iact = iap->iact;
639 const int df = iap->df_prod ? iap->df_prod [iact->n_vars - 1] : 0;
641 iap->enc_sum = xcalloc (df, sizeof (*(iap->enc_sum)));
643 for (y = 0; y < hmap_count (&iap->ivmap); ++y)
645 struct interaction_value *iv = iap->reverse_interaction_value_map[y];
646 for (x = iap->base_subscript_short; x < iap->base_subscript_short + df ;++x)
648 const double bin = categoricals_get_effects_code_for_case (cat, x, iv->ccase);
649 iap->enc_sum [x - iap->base_subscript_short] += bin * iv->cc;
651 if (cat->payload && cat->payload->calculate)
652 cat->payload->calculate (cat->aux1, cat->aux2, iv->user_data);
661 reverse_variable_lookup_short (const struct categoricals *cat, int subscript)
663 assert (cat->reverse_variable_map_short);
664 assert (subscript >= 0);
665 assert (subscript < cat->df_sum);
667 return cat->reverse_variable_map_short[subscript];
671 reverse_variable_lookup_long (const struct categoricals *cat, int subscript)
673 assert (cat->reverse_variable_map_long);
674 assert (subscript >= 0);
675 assert (subscript < cat->n_cats_total);
677 return cat->reverse_variable_map_long[subscript];
681 /* Return the interaction corresponding to SUBSCRIPT */
682 const struct interaction *
683 categoricals_get_interaction_by_subscript (const struct categoricals *cat, int subscript)
685 int index = reverse_variable_lookup_short (cat, subscript);
687 return cat->iap[index].iact;
691 categoricals_get_weight_by_subscript (const struct categoricals *cat, int subscript)
693 int vindex = reverse_variable_lookup_short (cat, subscript);
694 const struct interact_params *vp = &cat->iap[vindex];
700 categoricals_get_sum_by_subscript (const struct categoricals *cat, int subscript)
702 int vindex = reverse_variable_lookup_short (cat, subscript);
703 const struct interact_params *vp = &cat->iap[vindex];
705 return vp->enc_sum[subscript - vp->base_subscript_short];
709 /* Returns unity if the value in case C at SUBSCRIPT is equal to the category
710 for that subscript */
712 categoricals_get_code_for_case (const struct categoricals *cat, int subscript,
713 const struct ccase *c,
716 const struct interaction *iact = categoricals_get_interaction_by_subscript (cat, subscript);
718 const int i = reverse_variable_lookup_short (cat, subscript);
720 const int base_index = cat->iap[i].base_subscript_short;
725 const struct interact_params *iap = &cat->iap[i];
728 for (v = 0; v < iact->n_vars; ++v)
730 const struct variable *var = iact->vars[v];
732 const union value *val = case_data (c, var);
733 const int width = var_get_width (var);
734 const struct variable_node *vn = lookup_variable (&cat->varmap, var, hash_pointer (var, 0));
736 const unsigned int hash = value_hash (val, width, 0);
737 const struct value_node *valn = lookup_value (&vn->valmap, val, hash, width);
741 const double df = iap->df_prod[v] / dfp;
743 /* Translate the subscript into an index for the individual variable */
744 const int index = ((subscript - base_index) % iap->df_prod[v] ) / dfp;
745 dfp = iap->df_prod [v];
747 if (effects_coding && valn->index == df )
749 else if ( valn->index != index )
759 /* Returns unity if the value in case C at SUBSCRIPT is equal to the category
760 for that subscript */
762 categoricals_get_dummy_code_for_case (const struct categoricals *cat, int subscript,
763 const struct ccase *c)
765 return categoricals_get_code_for_case (cat, subscript, c, false);
768 /* Returns unity if the value in case C at SUBSCRIPT is equal to the category
770 Else if it is the last category, return -1.
774 categoricals_get_effects_code_for_case (const struct categoricals *cat, int subscript,
775 const struct ccase *c)
777 return categoricals_get_code_for_case (cat, subscript, c, true);
782 categoricals_get_n_variables (const struct categoricals *cat)
784 printf ("%s\n", __FUNCTION__);
789 /* Return a case containing the set of values corresponding to
790 the Nth Category of the IACTth interaction */
792 categoricals_get_case_by_category_real (const struct categoricals *cat, int iact, int n)
794 const struct interaction_value *vn;
796 const struct interact_params *vp = &cat->iap[iact];
798 if ( n >= hmap_count (&vp->ivmap))
801 vn = vp->reverse_interaction_value_map [n];
806 /* Return a the user data corresponding to the Nth Category of the IACTth interaction. */
808 categoricals_get_user_data_by_category_real (const struct categoricals *cat, int iact, int n)
810 const struct interact_params *vp = &cat->iap[iact];
811 const struct interaction_value *iv ;
813 if ( n >= hmap_count (&vp->ivmap))
816 iv = vp->reverse_interaction_value_map [n];
818 return iv->user_data;
823 /* Return a case containing the set of values corresponding to SUBSCRIPT */
825 categoricals_get_case_by_category (const struct categoricals *cat, int subscript)
827 int vindex = reverse_variable_lookup_long (cat, subscript);
828 const struct interact_params *vp = &cat->iap[vindex];
829 const struct interaction_value *vn = vp->reverse_interaction_value_map [subscript - vp->base_subscript_long];
835 categoricals_get_user_data_by_category (const struct categoricals *cat, int subscript)
837 int vindex = reverse_variable_lookup_long (cat, subscript);
838 const struct interact_params *vp = &cat->iap[vindex];
840 const struct interaction_value *iv = vp->reverse_interaction_value_map [subscript - vp->base_subscript_long];
841 return iv->user_data;
848 categoricals_set_payload (struct categoricals *cat, const struct payload *p,
849 const void *aux1, void *aux2)