new operator ABS added --
[rrdtool.git] / src / rrd_rpncalc.c
1 /****************************************************************************
2  * RRDtool 1.2.19  Copyright by Tobi Oetiker, 1997-2007
3  ****************************************************************************
4  * rrd_rpncalc.c  RPN calculator functions
5  ****************************************************************************/
6
7 #include "rrd_tool.h"
8 #include "rrd_rpncalc.h"
9 #include "rrd_graph.h"
10 #include <limits.h>
11
12 short addop2str(enum op_en op, enum op_en op_type, char *op_str, 
13             char **result_str, unsigned short *offset);
14 int tzoffset(time_t); /* used to implement LTIME */
15
16 short rpn_compact(rpnp_t *rpnp, rpn_cdefds_t **rpnc, short *count)
17 {
18     short i;
19     *count = 0;
20     /* count the number of rpn nodes */
21     while(rpnp[*count].op != OP_END) (*count)++;
22     if (++(*count) > DS_CDEF_MAX_RPN_NODES) {
23         rrd_set_error("Maximum %d RPN nodes permitted",
24                       DS_CDEF_MAX_RPN_NODES);
25         return -1;
26     }
27     
28     /* allocate memory */
29     *rpnc = (rpn_cdefds_t *) calloc(*count,sizeof(rpn_cdefds_t));
30     for (i = 0; rpnp[i].op != OP_END; i++)
31     {
32         (*rpnc)[i].op = (char) rpnp[i].op;
33         if (rpnp[i].op == OP_NUMBER) {
34             /* rpnp.val is a double, rpnc.val is a short */
35             double temp = floor(rpnp[i].val);
36             if (temp < SHRT_MIN || temp > SHRT_MAX) {
37                 rrd_set_error(
38                     "constants must be integers in the interval (%d, %d)",
39                     SHRT_MIN, SHRT_MAX);
40                 free(*rpnc);    
41                 return -1;
42             }
43             (*rpnc)[i].val = (short) temp;
44           } else if (rpnp[i].op == OP_VARIABLE ||
45                                  rpnp[i].op == OP_PREV_OTHER) {
46             (*rpnc)[i].val = (short) rpnp[i].ptr;
47         }
48     }
49     /* terminate the sequence */
50     (*rpnc)[(*count) - 1].op = OP_END;
51     return 0;
52 }
53
54 rpnp_t * rpn_expand(rpn_cdefds_t *rpnc)
55 {
56     short i;
57     rpnp_t *rpnp;
58     
59     /* DS_CDEF_MAX_RPN_NODES is small, so at the expense of some wasted
60      * memory we avoid any reallocs */
61     rpnp = (rpnp_t *) calloc(DS_CDEF_MAX_RPN_NODES,sizeof(rpnp_t));
62     if (rpnp == NULL) return NULL;
63     for (i = 0; rpnc[i].op != OP_END; ++i)
64     {
65         rpnp[i].op = (long) rpnc[i].op;
66         if (rpnp[i].op == OP_NUMBER) {
67             rpnp[i].val = (double) rpnc[i].val;
68           } else if (rpnp[i].op == OP_VARIABLE ||
69                                  rpnp[i].op == OP_PREV_OTHER) {
70             rpnp[i].ptr = (long) rpnc[i].val;
71         }
72     }
73     /* terminate the sequence */
74     rpnp[i].op = OP_END;
75     return rpnp;
76 }
77
78 /* rpn_compact2str: convert a compact sequence of RPN operator nodes back
79  * into a CDEF string. This function is used by rrd_dump.
80  * arguments:
81  *  rpnc: an array of compact RPN operator nodes
82  *  ds_def: a pointer to the data source definition section of an RRD header
83  *   for lookup of data source names by index
84  *  str: out string, memory is allocated by the function, must be freed by the
85  *   the caller */
86 void rpn_compact2str(rpn_cdefds_t *rpnc,ds_def_t *ds_def,char **str)
87 {
88     unsigned short i,offset = 0;
89     char buffer[7]; /* short as a string */
90     
91     for (i = 0; rpnc[i].op != OP_END; i++)
92     {
93         if (i > 0) (*str)[offset++] = ',';
94         
95 #define add_op(VV,VVV) \
96           if (addop2str(rpnc[i].op, VV, VVV, str, &offset) == 1) continue;
97         
98         if (rpnc[i].op == OP_NUMBER) {
99             /* convert a short into a string */
100 #if defined(_WIN32) && !defined(__CYGWIN__) && !defined(__CYGWIN32__)
101             _itoa(rpnc[i].val,buffer,10);
102 #else
103             sprintf(buffer,"%d",rpnc[i].val);
104 #endif
105             add_op(OP_NUMBER,buffer)
106                 }
107         
108         if (rpnc[i].op == OP_VARIABLE) {
109             char *ds_name = ds_def[rpnc[i].val].ds_nam;
110             add_op(OP_VARIABLE, ds_name)
111                 }
112
113           if (rpnc[i].op == OP_PREV_OTHER) {
114                 char *ds_name = ds_def[rpnc[i].val].ds_nam;
115                 add_op(OP_VARIABLE, ds_name)
116           }
117
118 #undef add_op
119         
120 #define add_op(VV,VVV) \
121           if (addop2str(rpnc[i].op, VV, #VVV, str, &offset) == 1) continue;
122         
123           add_op(OP_ADD,+)
124           add_op(OP_SUB,-)
125           add_op(OP_MUL,*)
126           add_op(OP_DIV,/)
127           add_op(OP_MOD,%)
128           add_op(OP_SIN,SIN)
129           add_op(OP_COS,COS)
130           add_op(OP_LOG,LOG)
131           add_op(OP_FLOOR,FLOOR)
132           add_op(OP_CEIL,CEIL)
133           add_op(OP_EXP,EXP)
134           add_op(OP_DUP,DUP)
135           add_op(OP_EXC,EXC)
136           add_op(OP_POP,POP)
137           add_op(OP_LT,LT)
138           add_op(OP_LE,LE)
139           add_op(OP_GT,GT)
140           add_op(OP_GE,GE)
141           add_op(OP_EQ,EQ)
142           add_op(OP_IF,IF)
143           add_op(OP_MIN,MIN)
144           add_op(OP_MAX,MAX)
145           add_op(OP_LIMIT,LIMIT)
146           add_op(OP_UNKN,UNKN)
147           add_op(OP_UN,UN)
148           add_op(OP_NEGINF,NEGINF)
149           add_op(OP_NE,NE)
150           add_op(OP_PREV,PREV)
151           add_op(OP_INF,INF)
152           add_op(OP_ISINF,ISINF)
153           add_op(OP_NOW,NOW)
154           add_op(OP_LTIME,LTIME)
155           add_op(OP_TIME,TIME)
156          add_op(OP_ATAN2,ATAN2)
157           add_op(OP_ATAN,ATAN)
158           add_op(OP_SQRT,SQRT)
159           add_op(OP_SORT,SORT)
160           add_op(OP_REV,REV)
161           add_op(OP_TREND,TREND)
162          add_op(OP_RAD2DEG,RAD2DEG)
163          add_op(OP_DEG2RAD,DEG2RAD)
164          add_op(OP_AVG,AVG)
165          add_op(OP_ABS,ABS)
166 #undef add_op
167               }
168     (*str)[offset] = '\0';
169
170 }
171
172 short addop2str(enum op_en op, enum op_en op_type, char *op_str, 
173                 char **result_str, unsigned short *offset)
174 {
175     if (op == op_type) {
176         short op_len;
177         op_len = strlen(op_str);
178         *result_str =  (char *) rrd_realloc(*result_str,
179                                             (op_len + 1 + *offset)*sizeof(char));
180         if (*result_str == NULL) {
181             rrd_set_error("failed to alloc memory in addop2str");
182             return -1;
183         }
184         strncpy(&((*result_str)[*offset]),op_str,op_len);
185         *offset += op_len;
186         return 1;
187     }
188     return 0;
189 }
190
191 void parseCDEF_DS(char *def,rrd_t *rrd, int ds_idx)
192 {
193     rpnp_t *rpnp = NULL;
194     rpn_cdefds_t *rpnc = NULL;
195     short count, i;
196     
197     rpnp = rpn_parse((void*) rrd, def, &lookup_DS);
198     if (rpnp == NULL) {
199         rrd_set_error("failed to parse computed data source");
200         return;
201     }
202     /* Check for OP nodes not permitted in COMPUTE DS.
203      * Moved this check from within rpn_compact() because it really is
204      * COMPUTE DS specific. This is less efficient, but creation doesn't
205      * occur too often. */
206     for (i = 0; rpnp[i].op != OP_END; i++) {
207         if (rpnp[i].op == OP_TIME || rpnp[i].op == OP_LTIME || 
208             rpnp[i].op == OP_PREV || rpnp[i].op == OP_COUNT)
209         {
210             rrd_set_error(
211                 "operators time, ltime, prev and count not supported with DS COMPUTE");
212             free(rpnp);
213             return;
214         }
215     }
216     if (rpn_compact(rpnp,&rpnc,&count) == -1) {
217         free(rpnp);
218         return;
219     }
220     /* copy the compact rpn representation over the ds_def par array */
221     memcpy((void*) &(rrd -> ds_def[ds_idx].par[DS_cdef]),
222            (void*) rpnc, count*sizeof(rpn_cdefds_t));
223     free(rpnp);
224     free(rpnc);
225 }
226
227 /* lookup a data source name in the rrd struct and return the index,
228  * should use ds_match() here except:
229  * (1) need a void * pointer to the rrd
230  * (2) error handling is left to the caller
231  */
232 long lookup_DS(void *rrd_vptr,char *ds_name)
233 {
234     unsigned int i;
235     rrd_t *rrd; 
236     
237     rrd = (rrd_t *) rrd_vptr;
238     
239     for (i = 0; i < rrd -> stat_head -> ds_cnt; ++i)
240     {
241         if(strcmp(ds_name,rrd -> ds_def[i].ds_nam) == 0)
242             return i;
243     }
244     /* the caller handles a bad data source name in the rpn string */
245     return -1;
246 }
247
248 /* rpn_parse : parse a string and generate a rpnp array; modified
249  * str2rpn() originally included in rrd_graph.c
250  * arguments:
251  * key_hash: a transparent argument passed to lookup(); conceptually this
252  *    is a hash object for lookup of a numeric key given a variable name
253  * expr: the string RPN expression, including variable names
254  * lookup(): a function that retrieves a numeric key given a variable name
255  */
256 rpnp_t * 
257 rpn_parse(void *key_hash,const char *const expr_const,long (*lookup)(void *,char*)){
258     int pos=0;
259     char *expr;
260     long steps=-1;    
261     rpnp_t  *rpnp;
262     char vname[MAX_VNAME_LEN+10];
263     
264     rpnp=NULL;
265     expr=(char *)expr_const;
266     
267     while(*expr){
268         if ((rpnp = (rpnp_t *) rrd_realloc(rpnp, (++steps + 2)* 
269                                        sizeof(rpnp_t)))==NULL){
270             return NULL;
271         }
272         
273         else if((sscanf(expr,"%lf%n",&rpnp[steps].val,&pos) == 1) && (expr[pos] == ',')){
274             rpnp[steps].op = OP_NUMBER;
275             expr+=pos;
276         } 
277         
278 #define match_op(VV,VVV) \
279         else if (strncmp(expr, #VVV, strlen(#VVV))==0 && ( expr[strlen(#VVV)] == ',' || expr[strlen(#VVV)] == '\0' )){ \
280             rpnp[steps].op = VV; \
281             expr+=strlen(#VVV); \
282         }
283
284
285 #define match_op_param(VV,VVV) \
286         else if (sscanf(expr, #VVV "(" DEF_NAM_FMT ")",vname) == 1) { \
287           int length = 0; \
288           if ((length = strlen(#VVV)+strlen(vname)+2, \
289               expr[length] == ',' || expr[length] == '\0') ) { \
290              rpnp[steps].op = VV; \
291              rpnp[steps].ptr = (*lookup)(key_hash,vname); \
292              if (rpnp[steps].ptr < 0) { \
293                            free(rpnp); \
294                            return NULL; \
295                          } else expr+=length; \
296           } \
297         }
298
299         match_op(OP_ADD,+)
300         match_op(OP_SUB,-)
301         match_op(OP_MUL,*)
302         match_op(OP_DIV,/)
303         match_op(OP_MOD,%)
304         match_op(OP_SIN,SIN)
305         match_op(OP_COS,COS)
306         match_op(OP_LOG,LOG)
307         match_op(OP_FLOOR,FLOOR)
308         match_op(OP_CEIL,CEIL)
309         match_op(OP_EXP,EXP)
310         match_op(OP_DUP,DUP)
311         match_op(OP_EXC,EXC)
312         match_op(OP_POP,POP)
313         match_op(OP_LTIME,LTIME)
314         match_op(OP_LT,LT)
315         match_op(OP_LE,LE)
316         match_op(OP_GT,GT)
317         match_op(OP_GE,GE)
318         match_op(OP_EQ,EQ)
319         match_op(OP_IF,IF)
320         match_op(OP_MIN,MIN)
321         match_op(OP_MAX,MAX)
322         match_op(OP_LIMIT,LIMIT)
323           /* order is important here ! .. match longest first */
324         match_op(OP_UNKN,UNKN)
325         match_op(OP_UN,UN)
326         match_op(OP_NEGINF,NEGINF)
327         match_op(OP_NE,NE)
328         match_op(OP_COUNT,COUNT)
329         match_op_param(OP_PREV_OTHER,PREV)
330         match_op(OP_PREV,PREV)
331         match_op(OP_INF,INF)
332         match_op(OP_ISINF,ISINF)
333         match_op(OP_NOW,NOW)
334         match_op(OP_TIME,TIME)
335        match_op(OP_ATAN2,ATAN2)
336         match_op(OP_ATAN,ATAN)
337         match_op(OP_SQRT,SQRT)
338         match_op(OP_SORT,SORT)
339         match_op(OP_REV,REV)
340         match_op(OP_TREND,TREND)
341        match_op(OP_RAD2DEG,RAD2DEG)
342        match_op(OP_DEG2RAD,DEG2RAD)
343        match_op(OP_AVG,AVG)
344        match_op(OP_ABS,ABS)
345 #undef match_op
346
347
348             else if ((sscanf(expr, DEF_NAM_FMT "%n",
349                              vname,&pos) == 1) 
350                      && ((rpnp[steps].ptr = (*lookup)(key_hash,vname)) != -1)){
351                 rpnp[steps].op = OP_VARIABLE;
352                 expr+=pos;
353             }      
354         
355         else {
356             free(rpnp);
357             return NULL;
358         }
359         if (*expr == 0)
360             break;
361         if (*expr == ',')
362             expr++;
363         else {
364             free(rpnp);
365             return NULL;
366         }  
367     }
368     rpnp[steps+1].op = OP_END;
369     return rpnp;
370 }
371
372 void
373 rpnstack_init(rpnstack_t *rpnstack)
374 {
375     rpnstack -> s = NULL;
376     rpnstack -> dc_stacksize = 0;
377     rpnstack -> dc_stackblock = 100;
378 }
379
380 void
381 rpnstack_free(rpnstack_t *rpnstack)
382 {
383    if (rpnstack -> s != NULL)
384           free(rpnstack -> s);
385    rpnstack -> dc_stacksize = 0;
386 }
387
388 static int
389 rpn_compare_double(const void *x, const void *y)
390 {
391         double  diff = *((const double *)x) - *((const double *)y);
392         
393         return (diff < 0) ? -1 : (diff > 0) ? 1 : 0;
394 }
395
396 /* rpn_calc: run the RPN calculator; also performs variable substitution;
397  * moved and modified from data_calc() originally included in rrd_graph.c 
398  * arguments:
399  * rpnp : an array of RPN operators (including variable references)
400  * rpnstack : the initialized stack
401  * data_idx : when data_idx is a multiple of rpnp.step, the rpnp.data pointer
402  *   is advanced by rpnp.ds_cnt; used only for variable substitution
403  * output : an array of output values; OP_PREV assumes this array contains
404  *   the "previous" value at index position output_idx-1; the definition of
405  *   "previous" depends on the calling environment
406  * output_idx : an index into the output array in which to store the output
407  *   of the RPN calculator
408  * returns: -1 if the computation failed (also calls rrd_set_error)
409  *           0 on success
410  */
411 short
412 rpn_calc(rpnp_t *rpnp, rpnstack_t *rpnstack, long data_idx, 
413                 rrd_value_t *output, int output_idx)
414 {
415     int rpi;
416     long stptr = -1;
417    
418     /* process each op from the rpn in turn */
419     for (rpi=0; rpnp[rpi].op != OP_END; rpi++){
420         /* allocate or grow the stack */
421         if (stptr + 5 > rpnstack -> dc_stacksize){
422             /* could move this to a separate function */
423             rpnstack -> dc_stacksize += rpnstack -> dc_stackblock;              
424             rpnstack -> s = rrd_realloc(rpnstack -> s,
425                         (rpnstack -> dc_stacksize)*sizeof(*(rpnstack -> s)));
426             if (rpnstack -> s == NULL){
427                 rrd_set_error("RPN stack overflow");
428                 return -1;
429             }
430         }
431
432 #define stackunderflow(MINSIZE)                         \
433         if(stptr<MINSIZE){                              \
434             rrd_set_error("RPN stack underflow");       \
435             return -1;                                  \
436         }
437
438         switch (rpnp[rpi].op){
439             case OP_NUMBER:
440                 rpnstack -> s[++stptr] = rpnp[rpi].val;
441                 break;
442             case OP_VARIABLE:
443             case OP_PREV_OTHER:
444             /* Sanity check: VDEFs shouldn't make it here */
445                 if (rpnp[rpi].ds_cnt == 0) {
446                     rrd_set_error("VDEF made it into rpn_calc... aborting");
447                     return -1;
448                 } else {
449                     /* make sure we pull the correct value from
450                      * the *.data array. Adjust the pointer into
451                      * the array acordingly. Advance the ptr one
452                      * row in the rra (skip over non-relevant
453                      * data sources)
454                      */
455                     if (rpnp[rpi].op == OP_VARIABLE) {
456                         rpnstack -> s[++stptr] =  *(rpnp[rpi].data);
457                     } else {
458                         if ((output_idx) <= 0) {
459                             rpnstack -> s[++stptr] = DNAN;
460                         } else {                            
461                             rpnstack -> s[++stptr] =  *(rpnp[rpi].data-rpnp[rpi].ds_cnt);
462                         }
463                        
464                     }              
465                     if (data_idx % rpnp[rpi].step == 0){
466                         rpnp[rpi].data += rpnp[rpi].ds_cnt;
467                     }
468                 }
469                 break;
470             case OP_COUNT:
471                 rpnstack -> s[++stptr] = (output_idx+1); /* Note: Counter starts at 1 */
472                 break;
473             case OP_PREV:
474                 if ((output_idx) <= 0) {
475                     rpnstack -> s[++stptr] = DNAN;
476                 } else {
477                     rpnstack -> s[++stptr] = output[output_idx-1];
478                 }
479                 break;
480          case OP_UNKN:
481                 rpnstack -> s[++stptr] = DNAN; 
482                 break;
483             case OP_INF:
484                 rpnstack -> s[++stptr] = DINF; 
485                 break;
486             case OP_NEGINF:
487                 rpnstack -> s[++stptr] = -DINF; 
488                 break;
489             case OP_NOW:
490                 rpnstack -> s[++stptr] = (double)time(NULL);
491                 break;
492             case OP_TIME:
493                 /* HACK: this relies on the data_idx being the time,
494                 ** which the within-function scope is unaware of */
495                 rpnstack -> s[++stptr] = (double) data_idx;
496                 break;
497             case OP_LTIME:
498                 rpnstack -> s[++stptr] =
499                         (double) tzoffset(data_idx) + (double)data_idx;
500                 break;
501             case OP_ADD:
502                 stackunderflow(1);
503                 rpnstack -> s[stptr-1]  = rpnstack -> s[stptr-1] 
504                                         + rpnstack -> s[stptr];
505                 stptr--;
506                 break;
507             case OP_SUB:
508                 stackunderflow(1);
509                 rpnstack -> s[stptr-1]  = rpnstack -> s[stptr-1]
510                                         - rpnstack -> s[stptr];
511                 stptr--;
512                 break;
513             case OP_MUL:
514                 stackunderflow(1);
515                 rpnstack -> s[stptr-1]  = (rpnstack -> s[stptr-1])
516                                         * (rpnstack -> s[stptr]);
517                 stptr--;
518                 break;
519             case OP_DIV:
520                 stackunderflow(1);
521                 rpnstack -> s[stptr-1]  = rpnstack -> s[stptr-1]
522                                         / rpnstack -> s[stptr];
523                 stptr--;
524                 break;
525             case OP_MOD:
526                 stackunderflow(1);
527                 rpnstack -> s[stptr-1]= fmod(   rpnstack -> s[stptr-1]
528                                                 ,rpnstack -> s[stptr]);
529                 stptr--;
530                 break;
531             case OP_SIN:
532                 stackunderflow(0);
533                 rpnstack -> s[stptr] = sin(rpnstack -> s[stptr]);
534                 break;
535             case OP_ATAN:
536                 stackunderflow(0);
537                 rpnstack -> s[stptr] = atan(rpnstack -> s[stptr]);
538                 break;
539            case OP_RAD2DEG:
540                stackunderflow(0);
541                rpnstack -> s[stptr] = 57.29577951 * rpnstack -> s[stptr];
542                break;
543            case OP_DEG2RAD:
544                stackunderflow(0);
545                rpnstack -> s[stptr] = 0.0174532952 * rpnstack -> s[stptr];
546                break;
547            case OP_ATAN2:
548                stackunderflow(1);
549                rpnstack -> s[stptr-1]= atan2(
550                                rpnstack -> s[stptr-1],
551                                rpnstack -> s[stptr]);
552                stptr--;
553                break;
554             case OP_COS:
555                 stackunderflow(0);
556                 rpnstack -> s[stptr] = cos(rpnstack -> s[stptr]);
557                 break;
558             case OP_CEIL:
559                 stackunderflow(0);
560                 rpnstack -> s[stptr] = ceil(rpnstack -> s[stptr]);
561                 break;
562             case OP_FLOOR:
563                 stackunderflow(0);
564                 rpnstack -> s[stptr] = floor(rpnstack -> s[stptr]);
565                 break;
566             case OP_LOG:
567                 stackunderflow(0);
568                 rpnstack -> s[stptr] = log(rpnstack -> s[stptr]);
569                 break;
570             case OP_DUP:
571                 stackunderflow(0);
572                 rpnstack -> s[stptr+1] = rpnstack -> s[stptr];
573                 stptr++;
574                 break;
575             case OP_POP:
576                 stackunderflow(0);
577                 stptr--;
578                 break;
579             case OP_EXC:
580                 stackunderflow(1);
581                 {
582                     double dummy;
583                     dummy = rpnstack -> s[stptr] ;
584                     rpnstack -> s[stptr] = rpnstack -> s[stptr-1];
585                     rpnstack -> s[stptr-1] = dummy;
586                 }
587                 break;
588             case OP_EXP:
589                 stackunderflow(0);
590                 rpnstack -> s[stptr] = exp(rpnstack -> s[stptr]);
591                 break;
592             case OP_LT:
593                 stackunderflow(1);
594                 if (isnan(rpnstack -> s[stptr-1])) 
595                     ;
596                 else if (isnan(rpnstack -> s[stptr]))
597                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr];
598                 else
599                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr-1] <
600                                         rpnstack -> s[stptr] ? 1.0 : 0.0;
601                 stptr--;
602                 break;
603             case OP_LE:
604                 stackunderflow(1);
605                 if (isnan(rpnstack -> s[stptr-1])) 
606                     ;
607                 else if (isnan(rpnstack -> s[stptr]))
608                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr];
609                 else
610                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr-1] <=
611                                         rpnstack -> s[stptr] ? 1.0 : 0.0;
612                 stptr--;
613                 break;
614             case OP_GT:
615                 stackunderflow(1);
616                 if (isnan(rpnstack -> s[stptr-1])) 
617                     ;
618                 else if (isnan(rpnstack -> s[stptr]))
619                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr];
620                 else
621                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr-1] >
622                                         rpnstack -> s[stptr] ? 1.0 : 0.0;
623                 stptr--;
624                 break;
625             case OP_GE:
626                 stackunderflow(1);
627                 if (isnan(rpnstack -> s[stptr-1])) 
628                     ;
629                 else if (isnan(rpnstack -> s[stptr]))
630                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr];
631                 else
632                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr-1] >=
633                                         rpnstack -> s[stptr] ? 1.0 : 0.0;
634                 stptr--;
635                 break;
636             case OP_NE:
637                 stackunderflow(1);
638                 if (isnan(rpnstack -> s[stptr-1]))
639                     ;
640                 else if (isnan(rpnstack -> s[stptr]))
641                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr];
642                 else
643                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr-1] ==
644                                         rpnstack -> s[stptr] ? 0.0 : 1.0;
645                 stptr--;
646                 break;
647             case OP_EQ:
648                 stackunderflow(1);
649                 if (isnan(rpnstack -> s[stptr-1])) 
650                     ;
651                 else if (isnan(rpnstack -> s[stptr]))
652                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr];
653                 else
654                     rpnstack -> s[stptr-1] = rpnstack -> s[stptr-1] ==
655                                         rpnstack -> s[stptr] ? 1.0 : 0.0;
656                 stptr--;
657                 break;
658             case OP_IF:
659                 stackunderflow(2);
660                 rpnstack->s[stptr-2] = rpnstack->s[stptr-2] != 0.0 ?
661                                 rpnstack->s[stptr-1] : rpnstack->s[stptr];
662                 stptr--;
663                 stptr--;
664                 break;
665             case OP_MIN:
666                 stackunderflow(1);
667                 if (isnan(rpnstack->s[stptr-1])) 
668                     ;
669                 else if (isnan(rpnstack->s[stptr]))
670                     rpnstack->s[stptr-1] = rpnstack->s[stptr];
671                 else if (rpnstack->s[stptr-1] > rpnstack->s[stptr])
672                     rpnstack->s[stptr-1] = rpnstack->s[stptr];
673                 stptr--;
674                 break;
675             case OP_MAX:
676                 stackunderflow(1);
677                 if (isnan(rpnstack->s[stptr-1])) 
678                ;
679                 else if (isnan(rpnstack->s[stptr]))
680                     rpnstack->s[stptr-1] = rpnstack->s[stptr];
681                 else if (rpnstack->s[stptr-1] < rpnstack->s[stptr])
682                     rpnstack->s[stptr-1] = rpnstack->s[stptr];
683                 stptr--;
684                 break;
685             case OP_LIMIT:
686                 stackunderflow(2);
687                 if (isnan(rpnstack->s[stptr-2])) 
688                     ;
689                 else if (isnan(rpnstack->s[stptr-1]))
690                     rpnstack->s[stptr-2] = rpnstack->s[stptr-1];
691                 else if (isnan(rpnstack->s[stptr]))
692                     rpnstack->s[stptr-2] = rpnstack->s[stptr];
693                 else if (rpnstack->s[stptr-2] < rpnstack->s[stptr-1])
694                     rpnstack->s[stptr-2] = DNAN;
695                 else if (rpnstack->s[stptr-2] > rpnstack->s[stptr])
696                     rpnstack->s[stptr-2] = DNAN;
697                 stptr-=2;
698                 break;
699             case OP_UN:
700                 stackunderflow(0);
701                 rpnstack->s[stptr] = isnan(rpnstack->s[stptr]) ? 1.0 : 0.0;
702                 break;
703             case OP_ISINF:
704                 stackunderflow(0);
705                 rpnstack->s[stptr] = isinf(rpnstack->s[stptr]) ? 1.0 : 0.0;
706                 break;
707             case OP_SQRT:
708                 stackunderflow(0);
709                 rpnstack -> s[stptr] = sqrt(rpnstack -> s[stptr]);
710                 break;
711             case OP_SORT:
712                 stackunderflow(0);
713                 {
714                     int spn = (int)rpnstack -> s[stptr--];
715
716                     stackunderflow(spn-1);
717                     qsort(rpnstack -> s + stptr-spn+1, spn, sizeof(double),
718                           rpn_compare_double);
719                 }
720                 break;
721             case OP_REV:
722                 stackunderflow(0);
723                 {
724                     int spn = (int)rpnstack -> s[stptr--];
725                     double *p, *q;
726
727                     stackunderflow(spn-1);
728
729                     p = rpnstack -> s + stptr-spn+1;
730                     q = rpnstack -> s + stptr;
731                     while (p < q) {
732                             double      x = *q;
733                             
734                             *q-- = *p;
735                             *p++ = x;
736                     }
737                 }
738                 break;
739             case OP_TREND:
740                 stackunderflow(1);
741                 if ((rpi < 2) || (rpnp[rpi-2].op != OP_VARIABLE)) {
742                     rrd_set_error("malformed trend arguments");
743                     return -1;
744                 } else {
745                     time_t dur = (time_t)rpnstack -> s[stptr];
746                     time_t step = (time_t)rpnp[rpi-2].step;
747
748                     if (output_idx > (int)ceil((float)dur / (float)step)) {
749                         double accum = 0.0;
750                         int i = 0;
751                 
752                         do {
753                             accum += rpnp[rpi-2].data[rpnp[rpi-2].ds_cnt * i--];
754                             dur -= step;
755                         } while (dur > 0);
756
757                         rpnstack -> s[--stptr] = (accum / -i);
758                     } else
759                         rpnstack -> s[--stptr] = DNAN;
760                 }
761                 break;
762            case OP_AVG:
763                stackunderflow(0);
764                 {
765                    int i=(int)rpnstack -> s[stptr--];
766                    double sum=0;
767                    int count=0;
768                    stackunderflow(i-1);
769                    while(i>0) {
770                      double val=rpnstack -> s[stptr--];
771                      i--;
772                     if (isnan(val)) { continue; }
773                      count++;
774                      sum+=val;
775                    }
776                    /* now push the result back on stack */
777                    if (count>0) {
778                      rpnstack -> s[++stptr]=sum/count;
779                    } else {
780                      rpnstack -> s[++stptr]=DNAN;
781                    }
782                 }
783                 break;
784             case OP_ABS:
785                 stackunderflow(0);
786                 rpnstack -> s[stptr] = fabs(rpnstack -> s[stptr]);
787                 break;
788             case OP_END:
789                 break;
790        }
791 #undef stackunderflow
792    }
793    if(stptr!=0){
794        rrd_set_error("RPN final stack size != 1");
795        return -1;
796    }
797    
798    output[output_idx] = rpnstack->s[0];
799    return 0;
800 }
801
802 /* figure out what the local timezone offset for any point in
803    time was. Return it in seconds */
804 int
805 tzoffset( time_t now ){
806     int gm_sec, gm_min, gm_hour, gm_yday, gm_year,
807         l_sec, l_min, l_hour, l_yday, l_year;
808     struct tm t;
809     int off;
810     gmtime_r(&now, &t);
811     gm_sec = t.tm_sec;
812     gm_min = t.tm_min;
813     gm_hour = t.tm_hour;
814     gm_yday = t.tm_yday;
815     gm_year = t.tm_year;
816     localtime_r(&now, &t);
817     l_sec = t.tm_sec;
818     l_min = t.tm_min;
819     l_hour = t.tm_hour;
820     l_yday = t.tm_yday;
821     l_year = t.tm_year;
822     off = (l_sec-gm_sec)+(l_min-gm_min)*60+(l_hour-gm_hour)*3600; 
823     if ( l_yday > gm_yday || l_year > gm_year){
824         off += 24*3600;
825     } else if ( l_yday < gm_yday || l_year < gm_year){
826         off -= 24*3600;
827     }
828    return off;
829 }
830