/src/libvips/libvips/arithmetic/stats.c
Line  | Count  | Source (jump to first uncovered line)  | 
1  |  | /* stats.c ... many image stats in a single pass  | 
2  |  |  *  | 
3  |  | (C) Kirk Martinez 1993  | 
4  |  | 23/4/93 J.Cupitt  | 
5  |  |   - adapted to partial images  | 
6  |  |   - special struct abandoned; now returns DOUBLEMASK.  | 
7  |  | 1/7/93 JC  | 
8  |  |   - adapted for partial v2  | 
9  |  |   - ANSIfied  | 
10  |  | 27/7/93 JC  | 
11  |  |   - init of mask changed to use actual values, not IM_MAXDOUBLE and  | 
12  |  |     (-IM_MAXDOUBLE). These caused problems when assigned to floats.  | 
13  |  |     funny business with offset==42, yuk!  | 
14  |  | 31/8/93 JC  | 
15  |  |   - forgot to init global max/min properly! sorry.  | 
16  |  | 21/6/95 JC  | 
17  |  |   - still did not init max and min correctly --- now fixed for good  | 
18  |  |  | 
19  |  |  * 13/1/05  | 
20  |  |  *  - use 64 bit arithmetic  | 
21  |  |  * 1/9/09  | 
22  |  |  *  - argh nope min/max was broken again for >1CPU in short pipelines on  | 
23  |  |  *      some architectures  | 
24  |  |  * 7/9/09  | 
25  |  |  *  - rework based on new im__wrapscan() / im_max() ideas for a proper fix  | 
26  |  |  *  - gtkdoc comment  | 
27  |  |  * 7/11/11  | 
28  |  |  *  - redone as a class  | 
29  |  |  *  - track maxpos / minpos too  | 
30  |  |  */  | 
31  |  |  | 
32  |  | /*  | 
33  |  |  | 
34  |  |   This file is part of VIPS.  | 
35  |  |  | 
36  |  |   VIPS is free software; you can redistribute it and/or modify  | 
37  |  |   it under the terms of the GNU Lesser General Public License as published by  | 
38  |  |   the Free Software Foundation; either version 2 of the License, or  | 
39  |  |   (at your option) any later version.  | 
40  |  |  | 
41  |  |   This program is distributed in the hope that it will be useful,  | 
42  |  |   but WITHOUT ANY WARRANTY; without even the implied warranty of  | 
43  |  |   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the  | 
44  |  |   GNU Lesser General Public License for more details.  | 
45  |  |  | 
46  |  |   You should have received a copy of the GNU Lesser General Public License  | 
47  |  |   along with this program; if not, write to the Free Software  | 
48  |  |   Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  | 
49  |  |   02110-1301  USA  | 
50  |  |  | 
51  |  |  */  | 
52  |  |  | 
53  |  | /*  | 
54  |  |  | 
55  |  |   These files are distributed with VIPS - http://www.vips.ecs.soton.ac.uk  | 
56  |  |  | 
57  |  |  */  | 
58  |  |  | 
59  |  | /*  | 
60  |  | #define VIPS_DEBUG  | 
61  |  |  */  | 
62  |  |  | 
63  |  | #ifdef HAVE_CONFIG_H  | 
64  |  | #include <config.h>  | 
65  |  | #endif /*HAVE_CONFIG_H*/  | 
66  |  | #include <glib/gi18n-lib.h>  | 
67  |  |  | 
68  |  | #include <stdio.h>  | 
69  |  | #include <stdlib.h>  | 
70  |  | #include <math.h>  | 
71  |  |  | 
72  |  | #include <vips/vips.h>  | 
73  |  | #include <vips/internal.h>  | 
74  |  |  | 
75  |  | #include "statistic.h"  | 
76  |  |  | 
77  |  | typedef struct _VipsStats { | 
78  |  |   VipsStatistic parent_instance;  | 
79  |  |  | 
80  |  |   VipsImage *out;  | 
81  |  |  | 
82  |  |   gboolean set; /* FALSE means no value yet */  | 
83  |  | } VipsStats;  | 
84  |  |  | 
85  |  | typedef VipsStatisticClass VipsStatsClass;  | 
86  |  |  | 
87  |  | G_DEFINE_TYPE(VipsStats, vips_stats, VIPS_TYPE_STATISTIC);  | 
88  |  |  | 
89  |  | /* Names for our columns.  | 
90  |  |  */  | 
91  |  | enum { | 
92  |  |   COL_MIN = 0,  | 
93  |  |   COL_MAX = 1,  | 
94  |  |   COL_SUM = 2,  | 
95  |  |   COL_SUM2 = 3,  | 
96  |  |   COL_AVG = 4,  | 
97  |  |   COL_SD = 5,  | 
98  |  |   COL_XMIN = 6,  | 
99  |  |   COL_YMIN = 7,  | 
100  |  |   COL_XMAX = 8,  | 
101  |  |   COL_YMAX = 9,  | 
102  |  |   COL_LAST = 10  | 
103  |  | };  | 
104  |  |  | 
105  |  | static int  | 
106  |  | vips_stats_build(VipsObject *object)  | 
107  | 0  | { | 
108  | 0  |   VipsObjectClass *class = VIPS_OBJECT_GET_CLASS(object);  | 
109  | 0  |   VipsStatistic *statistic = VIPS_STATISTIC(object);  | 
110  | 0  |   VipsStats *stats = (VipsStats *) object;  | 
111  |  | 
  | 
112  | 0  |   gint64 vals, pels;  | 
113  | 0  |   double *row0, *row;  | 
114  | 0  |   int b, y, i;  | 
115  |  | 
  | 
116  | 0  |   if (vips_object_argument_isset(object, "in")) { | 
117  | 0  |     int bands = vips_image_get_bands(statistic->in);  | 
118  |  | 
  | 
119  | 0  |     if (vips_check_noncomplex(class->nickname, statistic->in))  | 
120  | 0  |       return -1;  | 
121  |  |  | 
122  | 0  |     g_object_set(object,  | 
123  | 0  |       "out", vips_image_new_matrix(COL_LAST, bands + 1),  | 
124  | 0  |       NULL);  | 
125  | 0  |   }  | 
126  |  |  | 
127  | 0  |   if (VIPS_OBJECT_CLASS(vips_stats_parent_class)->build(object))  | 
128  | 0  |     return -1;  | 
129  |  |  | 
130  | 0  |   pels = (gint64) vips_image_get_width(statistic->in) *  | 
131  | 0  |     vips_image_get_height(statistic->in);  | 
132  | 0  |   vals = pels * vips_image_get_bands(statistic->in);  | 
133  |  | 
  | 
134  | 0  |   row0 = VIPS_MATRIX(stats->out, 0, 0);  | 
135  | 0  |   row = VIPS_MATRIX(stats->out, 0, 1);  | 
136  | 0  |   for (i = 0; i < COL_LAST; i++)  | 
137  | 0  |     row0[i] = row[i];  | 
138  |  | 
  | 
139  | 0  |   for (b = 1; b < vips_image_get_bands(statistic->in); b++) { | 
140  | 0  |     row = VIPS_MATRIX(stats->out, 0, b + 1);  | 
141  |  | 
  | 
142  | 0  |     if (row[COL_MIN] < row0[COL_MIN]) { | 
143  | 0  |       row0[COL_MIN] = row[COL_MIN];  | 
144  | 0  |       row0[COL_XMIN] = row[COL_XMIN];  | 
145  | 0  |       row0[COL_YMIN] = row[COL_YMIN];  | 
146  | 0  |     }  | 
147  |  | 
  | 
148  | 0  |     if (row[COL_MAX] > row0[COL_MAX]) { | 
149  | 0  |       row0[COL_MAX] = row[COL_MAX];  | 
150  | 0  |       row0[COL_XMAX] = row[COL_XMAX];  | 
151  | 0  |       row0[COL_YMAX] = row[COL_YMAX];  | 
152  | 0  |     }  | 
153  |  | 
  | 
154  | 0  |     row0[COL_SUM] += row[COL_SUM];  | 
155  | 0  |     row0[COL_SUM2] += row[COL_SUM2];  | 
156  | 0  |   }  | 
157  |  | 
  | 
158  | 0  |   for (y = 1; y < vips_image_get_height(stats->out); y++) { | 
159  | 0  |     double *row = VIPS_MATRIX(stats->out, 0, y);  | 
160  |  | 
  | 
161  | 0  |     row[COL_AVG] = row[COL_SUM] / pels;  | 
162  | 0  |     row[COL_SD] = sqrt(  | 
163  | 0  |       VIPS_FABS(row[COL_SUM2] -  | 
164  | 0  |         (row[COL_SUM] * row[COL_SUM] / pels)) /  | 
165  | 0  |       (pels - 1));  | 
166  | 0  |   }  | 
167  |  | 
  | 
168  | 0  |   row0[COL_AVG] = row0[COL_SUM] / vals;  | 
169  | 0  |   row0[COL_SD] = sqrt(  | 
170  | 0  |     VIPS_FABS(row0[COL_SUM2] -  | 
171  | 0  |       (row0[COL_SUM] * row0[COL_SUM] / vals)) /  | 
172  | 0  |     (vals - 1));  | 
173  |  | 
  | 
174  | 0  |   return 0;  | 
175  | 0  | }  | 
176  |  |  | 
177  |  | /* Stop function. Add these little stats to the main set of stats.  | 
178  |  |  */  | 
179  |  | static int  | 
180  |  | vips_stats_stop(VipsStatistic *statistic, void *seq)  | 
181  | 0  | { | 
182  | 0  |   int bands = vips_image_get_bands(statistic->in);  | 
183  | 0  |   VipsStats *global = (VipsStats *) statistic;  | 
184  | 0  |   VipsStats *local = (VipsStats *) seq;  | 
185  |  | 
  | 
186  | 0  |   int b;  | 
187  |  | 
  | 
188  | 0  |   if (local->set && !global->set) { | 
189  | 0  |     for (b = 0; b < bands; b++) { | 
190  | 0  |       double *p = VIPS_MATRIX(local->out, 0, b + 1);  | 
191  | 0  |       double *q = VIPS_MATRIX(global->out, 0, b + 1);  | 
192  |  | 
  | 
193  | 0  |       int i;  | 
194  |  | 
  | 
195  | 0  |       for (i = 0; i < COL_LAST; i++)  | 
196  | 0  |         q[i] = p[i];  | 
197  | 0  |     }  | 
198  |  | 
  | 
199  | 0  |     global->set = TRUE;  | 
200  | 0  |   }  | 
201  | 0  |   else if (local->set && global->set) { | 
202  | 0  |     for (b = 0; b < bands; b++) { | 
203  | 0  |       double *p = VIPS_MATRIX(local->out, 0, b + 1);  | 
204  | 0  |       double *q = VIPS_MATRIX(global->out, 0, b + 1);  | 
205  |  | 
  | 
206  | 0  |       if (p[COL_MIN] < q[COL_MIN]) { | 
207  | 0  |         q[COL_MIN] = p[COL_MIN];  | 
208  | 0  |         q[COL_XMIN] = p[COL_XMIN];  | 
209  | 0  |         q[COL_YMIN] = p[COL_YMIN];  | 
210  | 0  |       }  | 
211  |  | 
  | 
212  | 0  |       if (p[COL_MAX] > q[COL_MAX]) { | 
213  | 0  |         q[COL_MAX] = p[COL_MAX];  | 
214  | 0  |         q[COL_XMAX] = p[COL_XMAX];  | 
215  | 0  |         q[COL_YMAX] = p[COL_YMAX];  | 
216  | 0  |       }  | 
217  |  | 
  | 
218  | 0  |       q[COL_SUM] += p[COL_SUM];  | 
219  | 0  |       q[COL_SUM2] += p[COL_SUM2];  | 
220  | 0  |     }  | 
221  | 0  |   }  | 
222  |  | 
  | 
223  | 0  |   VIPS_FREEF(g_object_unref, local->out);  | 
224  | 0  |   VIPS_FREEF(g_free, seq);  | 
225  |  | 
  | 
226  | 0  |   return 0;  | 
227  | 0  | }  | 
228  |  |  | 
229  |  | /* Start function: make a dummy local stats for the private use of this thread.  | 
230  |  |  */  | 
231  |  | static void *  | 
232  |  | vips_stats_start(VipsStatistic *statistic)  | 
233  | 0  | { | 
234  | 0  |   int bands = vips_image_get_bands(statistic->in);  | 
235  |  | 
  | 
236  | 0  |   VipsStats *stats;  | 
237  |  | 
  | 
238  | 0  |   stats = g_new(VipsStats, 1);  | 
239  | 0  |   if (!(stats->out = vips_image_new_matrix(COL_LAST, bands + 1))) { | 
240  | 0  |     g_free(stats);  | 
241  | 0  |     return NULL;  | 
242  | 0  |   }  | 
243  | 0  |   stats->set = FALSE;  | 
244  |  | 
  | 
245  | 0  |   return (void *) stats;  | 
246  | 0  | }  | 
247  |  |  | 
248  |  | /* We scan lines bands times to avoid repeating band loops.  | 
249  |  |  * Use temp variables of same type for min/max for faster comparisons.  | 
250  |  |  */  | 
251  |  | #define LOOP(TYPE) \  | 
252  | 0  |   { \ | 
253  | 0  |     for (b = 0; b < bands; b++) { \ | 
254  | 0  |       TYPE *p = ((TYPE *) in) + b; \  | 
255  | 0  |       double *q = VIPS_MATRIX(local->out, 0, b + 1); \  | 
256  | 0  |       TYPE small, big; \  | 
257  | 0  |       double sum, sum2; \  | 
258  | 0  |       int xmin, ymin; \  | 
259  | 0  |       int xmax, ymax; \  | 
260  | 0  | \  | 
261  | 0  |       if (local->set) { \ | 
262  | 0  |         small = q[COL_MIN]; \  | 
263  | 0  |         big = q[COL_MAX]; \  | 
264  | 0  |         sum = q[COL_SUM]; \  | 
265  | 0  |         sum2 = q[COL_SUM2]; \  | 
266  | 0  |         xmin = q[COL_XMIN]; \  | 
267  | 0  |         ymin = q[COL_YMIN]; \  | 
268  | 0  |         xmax = q[COL_XMAX]; \  | 
269  | 0  |         ymax = q[COL_YMAX]; \  | 
270  | 0  |       } \  | 
271  | 0  |       else { \ | 
272  | 0  |         small = p[0]; \  | 
273  | 0  |         big = p[0]; \  | 
274  | 0  |         sum = 0; \  | 
275  | 0  |         sum2 = 0; \  | 
276  | 0  |         xmin = x; \  | 
277  | 0  |         ymin = y; \  | 
278  | 0  |         xmax = x; \  | 
279  | 0  |         ymax = y; \  | 
280  | 0  |       } \  | 
281  | 0  | \  | 
282  | 0  |       for (i = 0; i < n; i++) { \ | 
283  | 0  |         TYPE value = *p; \  | 
284  | 0  | \  | 
285  | 0  |         sum += value; \  | 
286  | 0  |         sum2 += (double) value * (double) value; \  | 
287  | 0  |         if (value > big) { \ | 
288  | 0  |           big = value; \  | 
289  | 0  |           xmax = x + i; \  | 
290  | 0  |           ymax = y; \  | 
291  | 0  |         } \  | 
292  | 0  |         else if (value < small) { \ | 
293  | 0  |           small = value; \  | 
294  | 0  |           xmin = x + i; \  | 
295  | 0  |           ymin = y; \  | 
296  | 0  |         } \  | 
297  | 0  | \  | 
298  | 0  |         p += bands; \  | 
299  | 0  |       } \  | 
300  | 0  | \  | 
301  | 0  |       q[COL_MIN] = small; \  | 
302  | 0  |       q[COL_MAX] = big; \  | 
303  | 0  |       q[COL_SUM] = sum; \  | 
304  | 0  |       q[COL_SUM2] = sum2; \  | 
305  | 0  |       q[COL_XMIN] = xmin; \  | 
306  | 0  |       q[COL_YMIN] = ymin; \  | 
307  | 0  |       q[COL_XMAX] = xmax; \  | 
308  | 0  |       q[COL_YMAX] = ymax; \  | 
309  | 0  |     } \  | 
310  | 0  | \  | 
311  | 0  |     local->set = TRUE; \  | 
312  | 0  |   }  | 
313  |  |  | 
314  |  | /* As above, but for float/double types where we have to avoid NaN.  | 
315  |  |  */  | 
316  |  | #define LOOPF(TYPE) \  | 
317  |  |   { \ | 
318  |  |     for (b = 0; b < bands; b++) { \ | 
319  |  |       TYPE *p = ((TYPE *) in) + b; \  | 
320  |  |       double *q = VIPS_MATRIX(local->out, 0, b + 1); \  | 
321  |  |       TYPE small, big; \  | 
322  |  |       double sum, sum2; \  | 
323  |  |       int xmin, ymin; \  | 
324  |  |       int xmax, ymax; \  | 
325  |  | \  | 
326  |  |       if (local->set) { \ | 
327  |  |         small = q[COL_MIN]; \  | 
328  |  |         big = q[COL_MAX]; \  | 
329  |  |         sum = q[COL_SUM]; \  | 
330  |  |         sum2 = q[COL_SUM2]; \  | 
331  |  |         xmin = q[COL_XMIN]; \  | 
332  |  |         ymin = q[COL_YMIN]; \  | 
333  |  |         xmax = q[COL_XMAX]; \  | 
334  |  |         ymax = q[COL_YMAX]; \  | 
335  |  |       } \  | 
336  |  |       else { \ | 
337  |  |         small = p[0]; \  | 
338  |  |         big = p[0]; \  | 
339  |  |         sum = 0; \  | 
340  |  |         sum2 = 0; \  | 
341  |  |         xmin = x; \  | 
342  |  |         ymin = y; \  | 
343  |  |         xmax = x; \  | 
344  |  |         ymax = y; \  | 
345  |  |       } \  | 
346  |  | \  | 
347  |  |       for (i = 0; i < n; i++) { \ | 
348  |  |         TYPE value = *p; \  | 
349  |  | \  | 
350  |  |         sum += value; \  | 
351  |  |         sum2 += (double) value * (double) value; \  | 
352  |  |         if (value > big) { \ | 
353  |  |           big = value; \  | 
354  |  |           xmax = x + i; \  | 
355  |  |           ymax = y; \  | 
356  |  |         } \  | 
357  |  |         else if (value < small) { \ | 
358  |  |           small = value; \  | 
359  |  |           xmin = x + i; \  | 
360  |  |           ymin = y; \  | 
361  |  |         } \  | 
362  |  | \  | 
363  |  |         p += bands; \  | 
364  |  |       } \  | 
365  |  | \  | 
366  |  |       q[COL_MIN] = small; \  | 
367  |  |       q[COL_MAX] = big; \  | 
368  |  |       q[COL_SUM] = sum; \  | 
369  |  |       q[COL_SUM2] = sum2; \  | 
370  |  |       q[COL_XMIN] = xmin; \  | 
371  |  |       q[COL_YMIN] = ymin; \  | 
372  |  |       q[COL_XMAX] = xmax; \  | 
373  |  |       q[COL_YMAX] = ymax; \  | 
374  |  |     } \  | 
375  |  | \  | 
376  |  |     local->set = TRUE; \  | 
377  |  |   }  | 
378  |  |  | 
379  |  | /* Loop over region, accumulating a sum in *tmp.  | 
380  |  |  */  | 
381  |  | static int  | 
382  |  | vips_stats_scan(VipsStatistic *statistic, void *seq,  | 
383  |  |   int x, int y, void *in, int n)  | 
384  | 0  | { | 
385  | 0  |   const int bands = vips_image_get_bands(statistic->in);  | 
386  | 0  |   VipsStats *local = (VipsStats *) seq;  | 
387  |  | 
  | 
388  | 0  |   int b, i;  | 
389  |  | 
  | 
390  | 0  |   switch (vips_image_get_format(statistic->in)) { | 
391  | 0  |   case VIPS_FORMAT_UCHAR:  | 
392  | 0  |     LOOP(unsigned char);  | 
393  | 0  |     break;  | 
394  | 0  |   case VIPS_FORMAT_CHAR:  | 
395  | 0  |     LOOP(signed char);  | 
396  | 0  |     break;  | 
397  | 0  |   case VIPS_FORMAT_USHORT:  | 
398  | 0  |     LOOP(unsigned short);  | 
399  | 0  |     break;  | 
400  | 0  |   case VIPS_FORMAT_SHORT:  | 
401  | 0  |     LOOP(signed short);  | 
402  | 0  |     break;  | 
403  | 0  |   case VIPS_FORMAT_UINT:  | 
404  | 0  |     LOOP(unsigned int);  | 
405  | 0  |     break;  | 
406  | 0  |   case VIPS_FORMAT_INT:  | 
407  | 0  |     LOOP(signed int);  | 
408  | 0  |     break;  | 
409  | 0  |   case VIPS_FORMAT_FLOAT:  | 
410  | 0  |     LOOP(float);  | 
411  | 0  |     break;  | 
412  | 0  |   case VIPS_FORMAT_DOUBLE:  | 
413  | 0  |     LOOP(double);  | 
414  | 0  |     break;  | 
415  |  |  | 
416  | 0  |   default:  | 
417  | 0  |     g_assert_not_reached();  | 
418  | 0  |   }  | 
419  |  |  | 
420  | 0  |   return 0;  | 
421  | 0  | }  | 
422  |  |  | 
423  |  | static void  | 
424  |  | vips_stats_class_init(VipsStatsClass *class)  | 
425  | 1  | { | 
426  | 1  |   GObjectClass *gobject_class = (GObjectClass *) class;  | 
427  | 1  |   VipsObjectClass *object_class = (VipsObjectClass *) class;  | 
428  | 1  |   VipsStatisticClass *sclass = VIPS_STATISTIC_CLASS(class);  | 
429  |  |  | 
430  | 1  |   gobject_class->set_property = vips_object_set_property;  | 
431  | 1  |   gobject_class->get_property = vips_object_get_property;  | 
432  |  |  | 
433  | 1  |   object_class->nickname = "stats";  | 
434  | 1  |   object_class->description = _("find many image stats"); | 
435  | 1  |   object_class->build = vips_stats_build;  | 
436  |  |  | 
437  | 1  |   sclass->start = vips_stats_start;  | 
438  | 1  |   sclass->scan = vips_stats_scan;  | 
439  | 1  |   sclass->stop = vips_stats_stop;  | 
440  |  |  | 
441  | 1  |   VIPS_ARG_IMAGE(class, "out", 100,  | 
442  | 1  |     _("Output"), | 
443  | 1  |     _("Output array of statistics"), | 
444  | 1  |     VIPS_ARGUMENT_REQUIRED_OUTPUT,  | 
445  | 1  |     G_STRUCT_OFFSET(VipsStats, out));  | 
446  | 1  | }  | 
447  |  |  | 
448  |  | static void  | 
449  |  | vips_stats_init(VipsStats *stats)  | 
450  | 0  | { | 
451  | 0  | }  | 
452  |  |  | 
453  |  | /**  | 
454  |  |  * vips_stats: (method)  | 
455  |  |  * @in: image to scan  | 
456  |  |  * @out: (out): image of statistics  | 
457  |  |  * @...: %NULL-terminated list of optional named arguments  | 
458  |  |  *  | 
459  |  |  * Find many image statistics in a single pass through the data. @out is a  | 
460  |  |  * one-band #VIPS_FORMAT_DOUBLE image of at least 10 columns by n + 1  | 
461  |  |  * (where n is number of bands in image @in)  | 
462  |  |  * rows. Columns are statistics, and are, in order: minimum, maximum, sum,  | 
463  |  |  * sum of squares, mean, standard deviation, x coordinate of minimum, y  | 
464  |  |  * coordinate of minimum, x coordinate of maximum, y coordinate of maximum.  | 
465  |  |  * Later versions of vips_stats() may add more columns.  | 
466  |  |  *  | 
467  |  |  * Row 0 has statistics for all  | 
468  |  |  * bands together, row 1 has stats for band 1, and so on.  | 
469  |  |  *  | 
470  |  |  * If there is more than one maxima or minima, one of them will be chosen at  | 
471  |  |  * random.  | 
472  |  |  *  | 
473  |  |  * See also: vips_avg(), vips_min().  | 
474  |  |  *  | 
475  |  |  * Returns: 0 on success, -1 on error  | 
476  |  |  */  | 
477  |  | int  | 
478  |  | vips_stats(VipsImage *in, VipsImage **out, ...)  | 
479  | 0  | { | 
480  | 0  |   va_list ap;  | 
481  | 0  |   int result;  | 
482  |  | 
  | 
483  | 0  |   va_start(ap, out);  | 
484  | 0  |   result = vips_call_split("stats", ap, in, out); | 
485  | 0  |   va_end(ap);  | 
486  |  | 
  | 
487  | 0  |   return result;  | 
488  | 0  | }  |