X-Git-Url: https://pintos-os.org/cgi-bin/gitweb.cgi?a=blobdiff_plain;f=src%2Fmath%2Fcovariance-matrix.c;h=2a00a56d95d5c7a20a1a540bc714f539b7a9d58a;hb=5c3291dc396b795696e94f47780308fd7ace6fc4;hp=c419ce02e8b2357a868526aff9147f172b1125d7;hpb=f05f98b6b0b7e81f77657a4313fccc259eb5c506;p=pspp-builds.git diff --git a/src/math/covariance-matrix.c b/src/math/covariance-matrix.c index c419ce02..2a00a56d 100644 --- a/src/math/covariance-matrix.c +++ b/src/math/covariance-matrix.c @@ -1,5 +1,5 @@ /* PSPP - a program for statistical analysis. - Copyright (C) 2008 Free Software Foundation, Inc. + Copyright (C) 2008, 2009 Free Software Foundation, Inc. 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 @@ -56,6 +56,7 @@ struct covariance_accumulator struct covariance_matrix { struct design_matrix *cov; + struct design_matrix *ssize; struct hsh_table *ca; struct moments1 **m1; struct moments **m; @@ -146,7 +147,25 @@ covariance_matrix_init (size_t n_variables, return result; } - +static size_t +get_n_rows (size_t n_variables, const struct variable *v_variables[]) +{ + size_t i; + size_t result = 0; + for (i = 0; i < n_variables; i++) + { + if (var_is_numeric (v_variables[i])) + { + result++; + } + else if (var_is_alpha (v_variables[i])) + { + size_t n_categories = cat_get_n_categories (v_variables[i]); + result += n_categories - 1; + } + } + return result; +} /* The covariances are stored in a DESIGN_MATRIX structure. */ @@ -154,8 +173,8 @@ struct design_matrix * covariance_matrix_create (size_t n_variables, const struct variable *v_variables[]) { - return design_matrix_create (n_variables, v_variables, - (size_t) n_variables); + size_t n_rows = get_n_rows (n_variables, v_variables); + return design_matrix_create (n_variables, v_variables, n_rows); } static void @@ -179,6 +198,7 @@ covariance_matrix_destroy (struct covariance_matrix *cov) assert (cov != NULL); design_matrix_destroy (cov->cov); + design_matrix_destroy (cov->ssize); hsh_destroy (cov->ca); if (cov->n_pass == ONE_PASS) { @@ -215,14 +235,15 @@ covariance_update_categorical_numeric (struct design_matrix *cov, double mean, col = design_matrix_var_to_column (cov, v2); assert (val2 != NULL); - tmp = gsl_matrix_get (cov->m, row, col); - gsl_matrix_set (cov->m, row, col, (val2->f - mean) * x + tmp); - gsl_matrix_set (cov->m, col, row, (val2->f - mean) * x + tmp); + tmp = design_matrix_get_element (cov, row, col); + design_matrix_set_element (cov, row, col, (val2->f - mean) * x + tmp); + design_matrix_set_element (cov, col, row, (val2->f - mean) * x + tmp); } static void column_iterate (struct design_matrix *cov, const struct variable *v, double ssize, double x, const union value *val1, size_t row) { + int width = var_get_width (v); size_t col; size_t i; double y; @@ -235,13 +256,13 @@ column_iterate (struct design_matrix *cov, const struct variable *v, col += i; y = -1.0 * cat_get_category_count (i, v) / ssize; tmp_val = cat_subscript_to_value (i, v); - if (!compare_values_short (tmp_val, val1, v)) + if (!value_equal (tmp_val, val1, width)) { y += -1.0; } - tmp = gsl_matrix_get (cov->m, row, col); - gsl_matrix_set (cov->m, row, col, x * y + tmp); - gsl_matrix_set (cov->m, col, row, x * y + tmp); + tmp = design_matrix_get_element (cov, row, col); + design_matrix_set_element (cov, row, col, x * y + tmp); + design_matrix_set_element (cov, col, row, x * y + tmp); } } @@ -270,7 +291,7 @@ covariance_pass_two (struct design_matrix *cov, double mean1, double mean2, row += i; x = -1.0 * cat_get_category_count (i, v1) / ssize; tmp_val = cat_subscript_to_value (i, v1); - if (!compare_values_short (tmp_val, val1, v1)) + if (!value_equal (tmp_val, val1, var_get_width (v1))) { x += 1.0; } @@ -302,9 +323,9 @@ covariance_pass_two (struct design_matrix *cov, double mean1, double mean2, row = design_matrix_var_to_column (cov, v1); col = design_matrix_var_to_column (cov, v2); x = (val1->f - mean1) * (val2->f - mean2); - x += gsl_matrix_get (cov->m, col, row); - gsl_matrix_set (cov->m, row, col, x); - gsl_matrix_set (cov->m, col, row, x); + x += design_matrix_get_element (cov, col, row); + design_matrix_set_element (cov, row, col, x); + design_matrix_set_element (cov, col, row, x); } } @@ -350,10 +371,9 @@ covariance_accumulator_hash (const void *h, const void *aux) } if (var_is_alpha (v_max) && var_is_alpha (v_min)) { - unsigned tmp = hsh_hash_bytes (val_max, var_get_width (v_max)); - tmp ^= hsh_hash_bytes (val_min, var_get_width (v_min)); - tmp += *n_vars * (*n_vars + 1 + idx_max) + idx_min; - return (size_t) tmp; + unsigned hash = value_hash (val_max, var_get_width (v_max), 0); + hash = value_hash (val_min, var_get_width (v_min), hash); + return hash_int (*n_vars * (*n_vars + 1 + idx_max) + idx_min, hash); } return -1u; } @@ -380,6 +400,31 @@ covariance_accumulator_free (void *c_, const void *aux UNUSED) free (c); } +static int +ordered_match_nodes (const struct covariance_accumulator *c, const struct variable *v1, + const struct variable *v2, const union value *val1, const union value *val2) +{ + size_t result; + size_t m; + + result = var_get_dict_index (v1) ^ var_get_dict_index (c->v1); + m = var_get_dict_index (v2) ^ var_get_dict_index (c->v2); + result = result|m; + if (var_is_alpha (v1)) + { + result |= value_compare_3way (val1, c->val1, var_get_width (v1)); + if (var_is_alpha (v2)) + { + result |= value_compare_3way (val2, c->val2, var_get_width (v2)); + } + } + else if (var_is_alpha (v2)) + { + result |= value_compare_3way (val2, c->val2, var_get_width (v2)); + } + return result; +} + /* Hash comparison. Returns 0 for a match, or a non-zero int otherwise. The sign of a non-zero return value *should* indicate the @@ -393,39 +438,12 @@ match_nodes (const struct covariance_accumulator *c, const struct variable *v1, const struct variable *v2, const union value *val1, const union value *val2) { - if (var_get_dict_index (v1) == var_get_dict_index (c->v1)) - if (var_get_dict_index (v2) == var_get_dict_index (c->v2)) - { - if (var_is_numeric (v1) && var_is_numeric (v2)) - { - return 0; - } - if (var_is_numeric (v1) && var_is_alpha (v2)) - { - if (!compare_values_short (val2, c->val2, v2)) - { - return 0; - } - } - if (var_is_alpha (v1) && var_is_numeric (v2)) - { - if (!compare_values_short (val1, c->val1, v1)) - { - return 0; - } - } - if (var_is_alpha (v1) && var_is_alpha (v2)) - { - if (!compare_values_short (val1, c->val1, v1)) - { - if (!compare_values_short (val2, c->val2, v2)) - { - return 0; - } - } - } - } - return 1; + size_t n; + size_t m; + + n = ordered_match_nodes (c, v1, v2, val1, val2); + m = ordered_match_nodes (c, v2, v1, val2, val1); + return (n & m); } /* @@ -444,7 +462,7 @@ covariance_accumulator_compare (const void *a1_, const void *a2_, if (a1 == NULL || a2 == NULL) return 1; - + return match_nodes (a1, a2->v1, a2->v2, a2->val1, a2->val2); } @@ -456,7 +474,7 @@ hash_numeric_alpha (const struct variable *v1, const struct variable *v2, if (var_is_numeric (v1) && var_is_alpha (v2)) { result = n_vars * ((n_vars + 1) + var_get_dict_index (v1)) - + var_get_dict_index (v2) + hsh_hash_string (val->s); + + var_get_dict_index (v2) + value_hash (val, var_get_width (v2), 0); } else if (var_is_alpha (v1) && var_is_numeric (v2)) { @@ -484,13 +502,16 @@ update_product (const struct variable *v1, const struct variable *v2, } if (var_is_numeric (v1) && var_is_alpha (v2)) { - return (val1->f); + return val1->f; } if (var_is_numeric (v2) && var_is_alpha (v1)) { - update_product (v2, v1, val2, val1); + return val2->f; + } + else + { + return 0.0; } - return 0.0; } static double update_sum (const struct variable *var, const union value *val, double weight) @@ -528,7 +549,6 @@ get_covariance_variables (const struct covariance_matrix *cov) return cov->v_variables; } - static void update_hash_entry (struct hsh_table *c, const struct variable *v1, @@ -559,11 +579,11 @@ update_hash_entry (struct hsh_table *c, new_entry->sum1 += ca->sum1; new_entry->sum2 += ca->sum2; /* - If DOT_PRODUCT is null, CA was not already in the hash - hable, so we don't free it because it was just inserted. - If DOT_PRODUCT was not null, CA is already in the hash table. - Unnecessary now, it must be freed here. - */ + If DOT_PRODUCT is null, CA was not already in the hash + hable, so we don't free it because it was just inserted. + If DOT_PRODUCT was not null, CA is already in the hash table. + Unnecessary now, it must be freed here. + */ free (ca); } } @@ -630,9 +650,6 @@ covariance_accumulate_pairwise (struct covariance_matrix *cov, { update_hash_entry (cov->ca, v_variables[i], v_variables[j], val1, val2, i_val1, i_val2); - if (j != i) - update_hash_entry (cov->ca, v_variables[j], - v_variables[i], val2, val1, i_val2, i_val1); } } } @@ -702,9 +719,6 @@ covariance_accumulate_listwise (struct covariance_matrix *cov, } update_hash_entry (cov->ca, v_variables[i], v_variables[j], val1, val2, i_val1, i_val2); - if (j != i) - update_hash_entry (cov->ca, v_variables[j], v_variables[i], - val2, val1, i_val2, i_val1); } } } @@ -722,85 +736,171 @@ covariance_matrix_accumulate (struct covariance_matrix *cov, cov->accumulate (cov, ccase, (const struct interaction_variable **) aux, n_intr); } -static void -covariance_matrix_insert (struct design_matrix *cov, - const struct variable *v1, - const struct variable *v2, const union value *val1, - const union value *val2, double product) +/* + Return the value corresponding to subscript TARGET. If that value corresponds + to the origin, return NULL. + */ +static const union value * +get_value_from_subscript (const struct design_matrix *dm, size_t target) { - size_t row; - size_t col; + const union value *result = NULL; + const struct variable *var; size_t i; - const union value *tmp_val; - - assert (cov != NULL); - - row = design_matrix_var_to_column (cov, v1); - if (var_is_alpha (v1)) + + var = design_matrix_col_to_var (dm, target); + if (var_is_numeric (var)) { - i = 0; - tmp_val = cat_subscript_to_value (i, v1); - while (compare_values_short (tmp_val, val1, v1)) + return NULL; + } + for (i = 0; i < cat_get_n_categories (var); i++) + { + result = cat_subscript_to_value (i, var); + if (dm_get_exact_subscript (dm, var, result) == target) { - i++; - tmp_val = cat_subscript_to_value (i, v1); + return result; } - row += i; - if (var_is_numeric (v2)) + } + return NULL; +} + +static bool +is_covariance_contributor (const struct covariance_accumulator *ca, const struct design_matrix *dm, + size_t i, size_t j) +{ + size_t k; + const struct variable *v1; + const struct variable *v2; + + assert (dm != NULL); + v1 = design_matrix_col_to_var (dm, i); + v2 = design_matrix_col_to_var (dm, j); + if (var_get_dict_index (v1) == var_get_dict_index(ca->v1)) + { + if (var_get_dict_index (v2) == var_get_dict_index (ca->v2)) { - col = design_matrix_var_to_column (cov, v2); + k = dm_get_exact_subscript (dm, v1, ca->val1); + if (k == i) + { + k = dm_get_exact_subscript (dm, v2, ca->val2); + if (k == j) + { + return true; + } + } } - else + } + else if (var_get_dict_index (v1) == var_get_dict_index (ca->v2)) + { + if (var_get_dict_index (v2) == var_get_dict_index (ca->v1)) { - col = design_matrix_var_to_column (cov, v2); - i = 0; - tmp_val = cat_subscript_to_value (i, v1); - while (compare_values_short (tmp_val, val1, v1)) + k = dm_get_exact_subscript (dm, v1, ca->val2); + if (k == i) { - i++; - tmp_val = cat_subscript_to_value (i, v1); + k = dm_get_exact_subscript (dm, v2, ca->val1); + if (k == j) + { + return true; + } } - col += i; } } - else + + return false; +} +static double +get_sum (const struct covariance_matrix *cov, size_t i) +{ + size_t k; + double mean; + double n; + const struct variable *var; + const union value *val = NULL; + + assert ( cov != NULL); + var = design_matrix_col_to_var (cov->cov, i); + if (var != NULL) { - if (var_is_numeric (v2)) + if (var_is_alpha (var)) { - col = design_matrix_var_to_column (cov, v2); + val = get_value_from_subscript (cov->cov, i); + k = cat_value_find (var, val); + return cat_get_category_count (k, var); } else { - covariance_matrix_insert (cov, v2, v1, val2, val1, product); + k = 0; + while (var_get_dict_index (cov->v_variables[k]) != var_get_dict_index (var)) + { + k++; + } + moments1_calculate (cov->m1[k], &n, &mean, NULL, NULL, NULL); + return mean * n; } } - gsl_matrix_set (cov->m, row, col, product); + return 0.0; } - -static struct design_matrix * -covariance_accumulator_to_matrix (struct covariance_matrix *cov) +static void +update_ssize (struct design_matrix *dm, size_t i, size_t j, struct covariance_accumulator *ca) { + const struct variable *var; double tmp; + var = design_matrix_col_to_var (dm, i); + if (var_get_dict_index (ca->v1) == var_get_dict_index (var)) + { + var = design_matrix_col_to_var (dm, j); + if (var_get_dict_index (ca->v2) == var_get_dict_index (var)) + { + tmp = design_matrix_get_element (dm, i, j); + tmp += ca->ssize; + design_matrix_set_element (dm, i, j, tmp); + } + } +} +static void +covariance_accumulator_to_matrix (struct covariance_matrix *cov) +{ + size_t i; + size_t j; + double sum_i = 0.0; + double sum_j = 0.0; + double tmp = 0.0; struct covariance_accumulator *entry; - struct design_matrix *result = NULL; struct hsh_iterator iter; - result = covariance_matrix_create (cov->n_variables, cov->v_variables); - + cov->cov = covariance_matrix_create (cov->n_variables, cov->v_variables); + cov->ssize = covariance_matrix_create (cov->n_variables, cov->v_variables); entry = hsh_first (cov->ca, &iter); - while (entry != NULL) { - /* - We compute the centered, un-normalized covariance matrix. - */ - tmp = entry->dot_product - entry->sum1 * entry->sum2 / entry->ssize; - covariance_matrix_insert (result, entry->v1, entry->v2, entry->val1, - entry->val2, tmp); entry = hsh_next (cov->ca, &iter); } - return result; + + for (i = 0; i < design_matrix_get_n_cols (cov->cov); i++) + { + sum_i = get_sum (cov, i); + for (j = i; j < design_matrix_get_n_cols (cov->cov); j++) + { + sum_j = get_sum (cov, j); + entry = hsh_first (cov->ca, &iter); + while (entry != NULL) + { + update_ssize (cov->ssize, i, j, entry); + /* + We compute the centered, un-normalized covariance matrix. + */ + if (is_covariance_contributor (entry, cov->cov, i, j)) + { + design_matrix_set_element (cov->cov, i, j, entry->dot_product); + } + entry = hsh_next (cov->ca, &iter); + } + tmp = design_matrix_get_element (cov->cov, i, j); + tmp -= sum_i * sum_j / design_matrix_get_element (cov->ssize, i, j); + design_matrix_set_element (cov->cov, i, j, tmp); + design_matrix_set_element (cov->cov, j, i, tmp); + } + } } @@ -812,7 +912,7 @@ covariance_matrix_compute (struct covariance_matrix *cov) { if (cov->n_pass == ONE_PASS) { - cov->cov = covariance_accumulator_to_matrix (cov); + covariance_accumulator_to_matrix (cov); } } @@ -825,3 +925,15 @@ covariance_to_design (const struct covariance_matrix *c) } return NULL; } +size_t +covariance_matrix_get_n_rows (const struct covariance_matrix *c) +{ + return design_matrix_get_n_rows (c->cov); +} + +double +covariance_matrix_get_element (const struct covariance_matrix *c, size_t row, size_t col) +{ + return (design_matrix_get_element (c->cov, row, col)); +} +