Code

prepare for the release of rrdtool-1.3.0
[rrdtool-all.git] / program / src / rrd_graph.c
1 /****************************************************************************
2  * RRDtool 1.3.0  Copyright by Tobi Oetiker, 1997-2008
3  ****************************************************************************
4  * rrd__graph.c  produce graphs from data in rrdfiles
5  ****************************************************************************/
8 #include <sys/stat.h>
10 #ifdef WIN32
11 #include "strftime.h"
12 #endif
13 #include "rrd_tool.h"
15 #if defined(WIN32) && !defined(__CYGWIN__) && !defined(__CYGWIN32__)
16 #include <io.h>
17 #include <fcntl.h>
18 #endif
20 #ifdef HAVE_TIME_H
21 #include <time.h>
22 #endif
24 #ifdef HAVE_LOCALE_H
25 #include <locale.h>
26 #endif
28 #include "rrd_graph.h"
30 /* some constant definitions */
34 #ifndef RRD_DEFAULT_FONT
35 /* there is special code later to pick Cour.ttf when running on windows */
36 #define RRD_DEFAULT_FONT "DejaVu Sans Mono,Bitstream Vera Sans Mono,monospace,Courier"
37 #endif
39 text_prop_t text_prop[] = {
40     {8.0, RRD_DEFAULT_FONT}
41     ,                   /* default */
42     {9.0, RRD_DEFAULT_FONT}
43     ,                   /* title */
44     {7.0, RRD_DEFAULT_FONT}
45     ,                   /* axis */
46     {8.0, RRD_DEFAULT_FONT}
47     ,                   /* unit */
48     {8.0, RRD_DEFAULT_FONT} /* legend */
49 };
51 xlab_t    xlab[] = {
52     {0, 0, TMT_SECOND, 30, TMT_MINUTE, 5, TMT_MINUTE, 5, 0, "%H:%M"}
53     ,
54     {2, 0, TMT_MINUTE, 1, TMT_MINUTE, 5, TMT_MINUTE, 5, 0, "%H:%M"}
55     ,
56     {5, 0, TMT_MINUTE, 2, TMT_MINUTE, 10, TMT_MINUTE, 10, 0, "%H:%M"}
57     ,
58     {10, 0, TMT_MINUTE, 5, TMT_MINUTE, 20, TMT_MINUTE, 20, 0, "%H:%M"}
59     ,
60     {30, 0, TMT_MINUTE, 10, TMT_HOUR, 1, TMT_HOUR, 1, 0, "%H:%M"}
61     ,
62     {60, 0, TMT_MINUTE, 30, TMT_HOUR, 2, TMT_HOUR, 2, 0, "%H:%M"}
63     ,
64     {60, 24 * 3600, TMT_MINUTE, 30, TMT_HOUR, 2, TMT_HOUR, 6, 0, "%a %H:%M"}
65     ,
66     {180, 0, TMT_HOUR, 1, TMT_HOUR, 6, TMT_HOUR, 6, 0, "%H:%M"}
67     ,
68     {180, 24 * 3600, TMT_HOUR, 1, TMT_HOUR, 6, TMT_HOUR, 12, 0, "%a %H:%M"}
69     ,
70     /*{300,             0,   TMT_HOUR,3,    TMT_HOUR,12,   TMT_HOUR,12,    12*3600,"%a %p"},  this looks silly */
71     {600, 0, TMT_HOUR, 6, TMT_DAY, 1, TMT_DAY, 1, 24 * 3600, "%a"}
72     ,
73     {1200, 0, TMT_HOUR, 6, TMT_DAY, 1, TMT_DAY, 1, 24 * 3600, "%d"}
74     ,
75     {1800, 0, TMT_HOUR, 12, TMT_DAY, 1, TMT_DAY, 2, 24 * 3600, "%a %d"}
76     ,
77     {2400, 0, TMT_HOUR, 12, TMT_DAY, 1, TMT_DAY, 2, 24 * 3600, "%a"}
78     ,
79     {3600, 0, TMT_DAY, 1, TMT_WEEK, 1, TMT_WEEK, 1, 7 * 24 * 3600, "Week %V"}
80     ,
81     {3 * 3600, 0, TMT_WEEK, 1, TMT_MONTH, 1, TMT_WEEK, 2, 7 * 24 * 3600,
82      "Week %V"}
83     ,
84     {6 * 3600, 0, TMT_MONTH, 1, TMT_MONTH, 1, TMT_MONTH, 1, 30 * 24 * 3600,
85      "%b"}
86     ,
87     {48 * 3600, 0, TMT_MONTH, 1, TMT_MONTH, 3, TMT_MONTH, 3, 30 * 24 * 3600,
88      "%b"}
89     ,
90     {315360, 0, TMT_MONTH, 3, TMT_YEAR, 1, TMT_YEAR, 1, 365 * 24 * 3600, "%Y"}
91     ,
92     {10 * 24 * 3600, 0, TMT_YEAR, 1, TMT_YEAR, 1, TMT_YEAR, 1,
93      365 * 24 * 3600, "%y"}
94     ,
95     {-1, 0, TMT_MONTH, 0, TMT_MONTH, 0, TMT_MONTH, 0, 0, ""}
96 };
98 /* sensible y label intervals ...*/
100 ylab_t    ylab[] = {
101     {0.1, {1, 2, 5, 10}
102      }
103     ,
104     {0.2, {1, 5, 10, 20}
105      }
106     ,
107     {0.5, {1, 2, 4, 10}
108      }
109     ,
110     {1.0, {1, 2, 5, 10}
111      }
112     ,
113     {2.0, {1, 5, 10, 20}
114      }
115     ,
116     {5.0, {1, 2, 4, 10}
117      }
118     ,
119     {10.0, {1, 2, 5, 10}
120      }
121     ,
122     {20.0, {1, 5, 10, 20}
123      }
124     ,
125     {50.0, {1, 2, 4, 10}
126      }
127     ,
128     {100.0, {1, 2, 5, 10}
129      }
130     ,
131     {200.0, {1, 5, 10, 20}
132      }
133     ,
134     {500.0, {1, 2, 4, 10}
135      }
136     ,
137     {0.0, {0, 0, 0, 0}
138      }
139 };
142 gfx_color_t graph_col[] =   /* default colors */
144     {1.00, 1.00, 1.00, 1.00},   /* canvas     */
145     {0.95, 0.95, 0.95, 1.00},   /* background */
146     {0.81, 0.81, 0.81, 1.00},   /* shade A    */
147     {0.62, 0.62, 0.62, 1.00},   /* shade B    */
148     {0.56, 0.56, 0.56, 0.75},   /* grid       */
149     {0.87, 0.31, 0.31, 0.60},   /* major grid */
150     {0.00, 0.00, 0.00, 1.00},   /* font       */
151     {0.50, 0.12, 0.12, 1.00},   /* arrow      */
152     {0.12, 0.12, 0.12, 1.00},   /* axis       */
153     {0.00, 0.00, 0.00, 1.00}    /* frame      */
154 };
157 /* #define DEBUG */
159 #ifdef DEBUG
160 # define DPRINT(x)    (void)(printf x, printf("\n"))
161 #else
162 # define DPRINT(x)
163 #endif
166 /* initialize with xtr(im,0); */
167 int xtr(
168     image_desc_t *im,
169     time_t mytime)
171     static double pixie;
173     if (mytime == 0) {
174         pixie = (double) im->xsize / (double) (im->end - im->start);
175         return im->xorigin;
176     }
177     return (int) ((double) im->xorigin + pixie * (mytime - im->start));
180 /* translate data values into y coordinates */
181 double ytr(
182     image_desc_t *im,
183     double value)
185     static double pixie;
186     double    yval;
188     if (isnan(value)) {
189         if (!im->logarithmic)
190             pixie = (double) im->ysize / (im->maxval - im->minval);
191         else
192             pixie =
193                 (double) im->ysize / (log10(im->maxval) - log10(im->minval));
194         yval = im->yorigin;
195     } else if (!im->logarithmic) {
196         yval = im->yorigin - pixie * (value - im->minval);
197     } else {
198         if (value < im->minval) {
199             yval = im->yorigin;
200         } else {
201             yval = im->yorigin - pixie * (log10(value) - log10(im->minval));
202         }
203     }
204     return yval;
209 /* conversion function for symbolic entry names */
212 #define conv_if(VV,VVV) \
213    if (strcmp(#VV, string) == 0) return VVV ;
215 enum gf_en gf_conv(
216     char *string)
219     conv_if(PRINT, GF_PRINT);
220     conv_if(GPRINT, GF_GPRINT);
221     conv_if(COMMENT, GF_COMMENT);
222     conv_if(HRULE, GF_HRULE);
223     conv_if(VRULE, GF_VRULE);
224     conv_if(LINE, GF_LINE);
225     conv_if(AREA, GF_AREA);
226     conv_if(STACK, GF_STACK);
227     conv_if(TICK, GF_TICK);
228     conv_if(TEXTALIGN, GF_TEXTALIGN);
229     conv_if(DEF, GF_DEF);
230     conv_if(CDEF, GF_CDEF);
231     conv_if(VDEF, GF_VDEF);
232     conv_if(XPORT, GF_XPORT);
233     conv_if(SHIFT, GF_SHIFT);
235     return (-1);
238 enum gfx_if_en if_conv(
239     char *string)
242     conv_if(PNG, IF_PNG);
243     conv_if(SVG, IF_SVG);
244     conv_if(EPS, IF_EPS);
245     conv_if(PDF, IF_PDF);
247     return (-1);
250 enum tmt_en tmt_conv(
251     char *string)
254     conv_if(SECOND, TMT_SECOND);
255     conv_if(MINUTE, TMT_MINUTE);
256     conv_if(HOUR, TMT_HOUR);
257     conv_if(DAY, TMT_DAY);
258     conv_if(WEEK, TMT_WEEK);
259     conv_if(MONTH, TMT_MONTH);
260     conv_if(YEAR, TMT_YEAR);
261     return (-1);
264 enum grc_en grc_conv(
265     char *string)
268     conv_if(BACK, GRC_BACK);
269     conv_if(CANVAS, GRC_CANVAS);
270     conv_if(SHADEA, GRC_SHADEA);
271     conv_if(SHADEB, GRC_SHADEB);
272     conv_if(GRID, GRC_GRID);
273     conv_if(MGRID, GRC_MGRID);
274     conv_if(FONT, GRC_FONT);
275     conv_if(ARROW, GRC_ARROW);
276     conv_if(AXIS, GRC_AXIS);
277     conv_if(FRAME, GRC_FRAME);
279     return -1;
282 enum text_prop_en text_prop_conv(
283     char *string)
286     conv_if(DEFAULT, TEXT_PROP_DEFAULT);
287     conv_if(TITLE, TEXT_PROP_TITLE);
288     conv_if(AXIS, TEXT_PROP_AXIS);
289     conv_if(UNIT, TEXT_PROP_UNIT);
290     conv_if(LEGEND, TEXT_PROP_LEGEND);
291     return -1;
295 #undef conv_if
297 int im_free(
298     image_desc_t *im)
300     unsigned long i, ii;
301     cairo_status_t status = 0;
303     if (im == NULL)
304         return 0;
305     for (i = 0; i < (unsigned) im->gdes_c; i++) {
306         if (im->gdes[i].data_first) {
307             /* careful here, because a single pointer can occur several times */
308             free(im->gdes[i].data);
309             if (im->gdes[i].ds_namv) {
310                 for (ii = 0; ii < im->gdes[i].ds_cnt; ii++)
311                     free(im->gdes[i].ds_namv[ii]);
312                 free(im->gdes[i].ds_namv);
313             }
314         }
315         /* free allocated memory used for dashed lines */
316         if (im->gdes[i].p_dashes != NULL)
317             free(im->gdes[i].p_dashes);
319         free(im->gdes[i].p_data);
320         free(im->gdes[i].rpnp);
321     }
322     free(im->gdes);
323     if (im->font_options)
324         cairo_font_options_destroy(im->font_options);
326     if (im->cr) {
327         status = cairo_status(im->cr);
328         cairo_destroy(im->cr);
329     }
330     if (im->rendered_image) {
331         free(im->rendered_image);
332     }
333     if (im->surface)
334         cairo_surface_destroy(im->surface);
335     if (status)
336         fprintf(stderr, "OOPS: Cairo has issues it can't even die: %s\n",
337                 cairo_status_to_string(status));
339     return 0;
342 /* find SI magnitude symbol for the given number*/
343 void auto_scale(
344     image_desc_t *im,   /* image description */
345     double *value,
346     char **symb_ptr,
347     double *magfact)
350     char     *symbol[] = { "a", /* 10e-18 Atto */
351         "f",            /* 10e-15 Femto */
352         "p",            /* 10e-12 Pico */
353         "n",            /* 10e-9  Nano */
354         "u",            /* 10e-6  Micro */
355         "m",            /* 10e-3  Milli */
356         " ",            /* Base */
357         "k",            /* 10e3   Kilo */
358         "M",            /* 10e6   Mega */
359         "G",            /* 10e9   Giga */
360         "T",            /* 10e12  Tera */
361         "P",            /* 10e15  Peta */
362         "E"
363     };                  /* 10e18  Exa */
365     int       symbcenter = 6;
366     int       sindex;
368     if (*value == 0.0 || isnan(*value)) {
369         sindex = 0;
370         *magfact = 1.0;
371     } else {
372         sindex = floor(log(fabs(*value)) / log((double) im->base));
373         *magfact = pow((double) im->base, (double) sindex);
374         (*value) /= (*magfact);
375     }
376     if (sindex <= symbcenter && sindex >= -symbcenter) {
377         (*symb_ptr) = symbol[sindex + symbcenter];
378     } else {
379         (*symb_ptr) = "?";
380     }
384 static char si_symbol[] = {
385     'a',                /* 10e-18 Atto */
386     'f',                /* 10e-15 Femto */
387     'p',                /* 10e-12 Pico */
388     'n',                /* 10e-9  Nano */
389     'u',                /* 10e-6  Micro */
390     'm',                /* 10e-3  Milli */
391     ' ',                /* Base */
392     'k',                /* 10e3   Kilo */
393     'M',                /* 10e6   Mega */
394     'G',                /* 10e9   Giga */
395     'T',                /* 10e12  Tera */
396     'P',                /* 10e15  Peta */
397     'E',                /* 10e18  Exa */
398 };
399 static const int si_symbcenter = 6;
401 /* find SI magnitude symbol for the numbers on the y-axis*/
402 void si_unit(
403     image_desc_t *im    /* image description */
404     )
407     double    digits, viewdigits = 0;
409     digits =
410         floor(log(max(fabs(im->minval), fabs(im->maxval))) /
411               log((double) im->base));
413     if (im->unitsexponent != 9999) {
414         /* unitsexponent = 9, 6, 3, 0, -3, -6, -9, etc */
415         viewdigits = floor(im->unitsexponent / 3);
416     } else {
417         viewdigits = digits;
418     }
420     im->magfact = pow((double) im->base, digits);
422 #ifdef DEBUG
423     printf("digits %6.3f  im->magfact %6.3f\n", digits, im->magfact);
424 #endif
426     im->viewfactor = im->magfact / pow((double) im->base, viewdigits);
428     if (((viewdigits + si_symbcenter) < sizeof(si_symbol)) &&
429         ((viewdigits + si_symbcenter) >= 0))
430         im->symbol = si_symbol[(int) viewdigits + si_symbcenter];
431     else
432         im->symbol = '?';
435 /*  move min and max values around to become sensible */
437 void expand_range(
438     image_desc_t *im)
440     double    sensiblevalues[] = { 1000.0, 900.0, 800.0, 750.0, 700.0,
441         600.0, 500.0, 400.0, 300.0, 250.0,
442         200.0, 125.0, 100.0, 90.0, 80.0,
443         75.0, 70.0, 60.0, 50.0, 40.0, 30.0,
444         25.0, 20.0, 10.0, 9.0, 8.0,
445         7.0, 6.0, 5.0, 4.0, 3.5, 3.0,
446         2.5, 2.0, 1.8, 1.5, 1.2, 1.0,
447         0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0.0, -1
448     };
450     double    scaled_min, scaled_max;
451     double    adj;
452     int       i;
456 #ifdef DEBUG
457     printf("Min: %6.2f Max: %6.2f MagFactor: %6.2f\n",
458            im->minval, im->maxval, im->magfact);
459 #endif
461     if (isnan(im->ygridstep)) {
462         if (im->extra_flags & ALTAUTOSCALE) {
463             /* measure the amplitude of the function. Make sure that
464                graph boundaries are slightly higher then max/min vals
465                so we can see amplitude on the graph */
466             double    delt, fact;
468             delt = im->maxval - im->minval;
469             adj = delt * 0.1;
470             fact = 2.0 * pow(10.0,
471                              floor(log10
472                                    (max(fabs(im->minval), fabs(im->maxval)) /
473                                     im->magfact)) - 2);
474             if (delt < fact) {
475                 adj = (fact - delt) * 0.55;
476 #ifdef DEBUG
477                 printf
478                     ("Min: %6.2f Max: %6.2f delt: %6.2f fact: %6.2f adj: %6.2f\n",
479                      im->minval, im->maxval, delt, fact, adj);
480 #endif
481             }
482             im->minval -= adj;
483             im->maxval += adj;
484         } else if (im->extra_flags & ALTAUTOSCALE_MIN) {
485             /* measure the amplitude of the function. Make sure that
486                graph boundaries are slightly lower than min vals
487                so we can see amplitude on the graph */
488             adj = (im->maxval - im->minval) * 0.1;
489             im->minval -= adj;
490         } else if (im->extra_flags & ALTAUTOSCALE_MAX) {
491             /* measure the amplitude of the function. Make sure that
492                graph boundaries are slightly higher than max vals
493                so we can see amplitude on the graph */
494             adj = (im->maxval - im->minval) * 0.1;
495             im->maxval += adj;
496         } else {
497             scaled_min = im->minval / im->magfact;
498             scaled_max = im->maxval / im->magfact;
500             for (i = 1; sensiblevalues[i] > 0; i++) {
501                 if (sensiblevalues[i - 1] >= scaled_min &&
502                     sensiblevalues[i] <= scaled_min)
503                     im->minval = sensiblevalues[i] * (im->magfact);
505                 if (-sensiblevalues[i - 1] <= scaled_min &&
506                     -sensiblevalues[i] >= scaled_min)
507                     im->minval = -sensiblevalues[i - 1] * (im->magfact);
509                 if (sensiblevalues[i - 1] >= scaled_max &&
510                     sensiblevalues[i] <= scaled_max)
511                     im->maxval = sensiblevalues[i - 1] * (im->magfact);
513                 if (-sensiblevalues[i - 1] <= scaled_max &&
514                     -sensiblevalues[i] >= scaled_max)
515                     im->maxval = -sensiblevalues[i] * (im->magfact);
516             }
517         }
518     } else {
519         /* adjust min and max to the grid definition if there is one */
520         im->minval = (double) im->ylabfact * im->ygridstep *
521             floor(im->minval / ((double) im->ylabfact * im->ygridstep));
522         im->maxval = (double) im->ylabfact * im->ygridstep *
523             ceil(im->maxval / ((double) im->ylabfact * im->ygridstep));
524     }
526 #ifdef DEBUG
527     fprintf(stderr, "SCALED Min: %6.2f Max: %6.2f Factor: %6.2f\n",
528             im->minval, im->maxval, im->magfact);
529 #endif
533 void apply_gridfit(
534     image_desc_t *im)
536     if (isnan(im->minval) || isnan(im->maxval))
537         return;
538     ytr(im, DNAN);
539     if (im->logarithmic) {
540         double    ya, yb, ypix, ypixfrac;
541         double    log10_range = log10(im->maxval) - log10(im->minval);
543         ya = pow((double) 10, floor(log10(im->minval)));
544         while (ya < im->minval)
545             ya *= 10;
546         if (ya > im->maxval)
547             return;     /* don't have y=10^x gridline */
548         yb = ya * 10;
549         if (yb <= im->maxval) {
550             /* we have at least 2 y=10^x gridlines.
551                Make sure distance between them in pixels
552                are an integer by expanding im->maxval */
553             double    y_pixel_delta = ytr(im, ya) - ytr(im, yb);
554             double    factor = y_pixel_delta / floor(y_pixel_delta);
555             double    new_log10_range = factor * log10_range;
556             double    new_ymax_log10 = log10(im->minval) + new_log10_range;
558             im->maxval = pow(10, new_ymax_log10);
559             ytr(im, DNAN);  /* reset precalc */
560             log10_range = log10(im->maxval) - log10(im->minval);
561         }
562         /* make sure first y=10^x gridline is located on 
563            integer pixel position by moving scale slightly 
564            downwards (sub-pixel movement) */
565         ypix = ytr(im, ya) + im->ysize; /* add im->ysize so it always is positive */
566         ypixfrac = ypix - floor(ypix);
567         if (ypixfrac > 0 && ypixfrac < 1) {
568             double    yfrac = ypixfrac / im->ysize;
570             im->minval = pow(10, log10(im->minval) - yfrac * log10_range);
571             im->maxval = pow(10, log10(im->maxval) - yfrac * log10_range);
572             ytr(im, DNAN);  /* reset precalc */
573         }
574     } else {
575         /* Make sure we have an integer pixel distance between
576            each minor gridline */
577         double    ypos1 = ytr(im, im->minval);
578         double    ypos2 = ytr(im, im->minval + im->ygrid_scale.gridstep);
579         double    y_pixel_delta = ypos1 - ypos2;
580         double    factor = y_pixel_delta / floor(y_pixel_delta);
581         double    new_range = factor * (im->maxval - im->minval);
582         double    gridstep = im->ygrid_scale.gridstep;
583         double    minor_y, minor_y_px, minor_y_px_frac;
585         if (im->maxval > 0.0)
586             im->maxval = im->minval + new_range;
587         else
588             im->minval = im->maxval - new_range;
589         ytr(im, DNAN);  /* reset precalc */
590         /* make sure first minor gridline is on integer pixel y coord */
591         minor_y = gridstep * floor(im->minval / gridstep);
592         while (minor_y < im->minval)
593             minor_y += gridstep;
594         minor_y_px = ytr(im, minor_y) + im->ysize;  /* ensure > 0 by adding ysize */
595         minor_y_px_frac = minor_y_px - floor(minor_y_px);
596         if (minor_y_px_frac > 0 && minor_y_px_frac < 1) {
597             double    yfrac = minor_y_px_frac / im->ysize;
598             double    range = im->maxval - im->minval;
600             im->minval = im->minval - yfrac * range;
601             im->maxval = im->maxval - yfrac * range;
602             ytr(im, DNAN);  /* reset precalc */
603         }
604         calc_horizontal_grid(im);   /* recalc with changed im->maxval */
605     }
608 /* reduce data reimplementation by Alex */
610 void reduce_data(
611     enum cf_en cf,      /* which consolidation function ? */
612     unsigned long cur_step, /* step the data currently is in */
613     time_t *start,      /* start, end and step as requested ... */
614     time_t *end,        /* ... by the application will be   ... */
615     unsigned long *step,    /* ... adjusted to represent reality    */
616     unsigned long *ds_cnt,  /* number of data sources in file */
617     rrd_value_t **data)
618 {                       /* two dimensional array containing the data */
619     int       i, reduce_factor = ceil((double) (*step) / (double) cur_step);
620     unsigned long col, dst_row, row_cnt, start_offset, end_offset, skiprows =
621         0;
622     rrd_value_t *srcptr, *dstptr;
624     (*step) = cur_step * reduce_factor; /* set new step size for reduced data */
625     dstptr = *data;
626     srcptr = *data;
627     row_cnt = ((*end) - (*start)) / cur_step;
629 #ifdef DEBUG
630 #define DEBUG_REDUCE
631 #endif
632 #ifdef DEBUG_REDUCE
633     printf("Reducing %lu rows with factor %i time %lu to %lu, step %lu\n",
634            row_cnt, reduce_factor, *start, *end, cur_step);
635     for (col = 0; col < row_cnt; col++) {
636         printf("time %10lu: ", *start + (col + 1) * cur_step);
637         for (i = 0; i < *ds_cnt; i++)
638             printf(" %8.2e", srcptr[*ds_cnt * col + i]);
639         printf("\n");
640     }
641 #endif
643     /* We have to combine [reduce_factor] rows of the source
644      ** into one row for the destination.  Doing this we also
645      ** need to take care to combine the correct rows.  First
646      ** alter the start and end time so that they are multiples
647      ** of the new step time.  We cannot reduce the amount of
648      ** time so we have to move the end towards the future and
649      ** the start towards the past.
650      */
651     end_offset = (*end) % (*step);
652     start_offset = (*start) % (*step);
654     /* If there is a start offset (which cannot be more than
655      ** one destination row), skip the appropriate number of
656      ** source rows and one destination row.  The appropriate
657      ** number is what we do know (start_offset/cur_step) of
658      ** the new interval (*step/cur_step aka reduce_factor).
659      */
660 #ifdef DEBUG_REDUCE
661     printf("start_offset: %lu  end_offset: %lu\n", start_offset, end_offset);
662     printf("row_cnt before:  %lu\n", row_cnt);
663 #endif
664     if (start_offset) {
665         (*start) = (*start) - start_offset;
666         skiprows = reduce_factor - start_offset / cur_step;
667         srcptr += skiprows * *ds_cnt;
668         for (col = 0; col < (*ds_cnt); col++)
669             *dstptr++ = DNAN;
670         row_cnt -= skiprows;
671     }
672 #ifdef DEBUG_REDUCE
673     printf("row_cnt between: %lu\n", row_cnt);
674 #endif
676     /* At the end we have some rows that are not going to be
677      ** used, the amount is end_offset/cur_step
678      */
679     if (end_offset) {
680         (*end) = (*end) - end_offset + (*step);
681         skiprows = end_offset / cur_step;
682         row_cnt -= skiprows;
683     }
684 #ifdef DEBUG_REDUCE
685     printf("row_cnt after:   %lu\n", row_cnt);
686 #endif
688 /* Sanity check: row_cnt should be multiple of reduce_factor */
689 /* if this gets triggered, something is REALLY WRONG ... we die immediately */
691     if (row_cnt % reduce_factor) {
692         printf("SANITY CHECK: %lu rows cannot be reduced by %i \n",
693                row_cnt, reduce_factor);
694         printf("BUG in reduce_data()\n");
695         exit(1);
696     }
698     /* Now combine reduce_factor intervals at a time
699      ** into one interval for the destination.
700      */
702     for (dst_row = 0; (long int) row_cnt >= reduce_factor; dst_row++) {
703         for (col = 0; col < (*ds_cnt); col++) {
704             rrd_value_t newval = DNAN;
705             unsigned long validval = 0;
707             for (i = 0; i < reduce_factor; i++) {
708                 if (isnan(srcptr[i * (*ds_cnt) + col])) {
709                     continue;
710                 }
711                 validval++;
712                 if (isnan(newval))
713                     newval = srcptr[i * (*ds_cnt) + col];
714                 else {
715                     switch (cf) {
716                     case CF_HWPREDICT:
717                     case CF_MHWPREDICT:
718                     case CF_DEVSEASONAL:
719                     case CF_DEVPREDICT:
720                     case CF_SEASONAL:
721                     case CF_AVERAGE:
722                         newval += srcptr[i * (*ds_cnt) + col];
723                         break;
724                     case CF_MINIMUM:
725                         newval = min(newval, srcptr[i * (*ds_cnt) + col]);
726                         break;
727                     case CF_FAILURES:
728                         /* an interval contains a failure if any subintervals contained a failure */
729                     case CF_MAXIMUM:
730                         newval = max(newval, srcptr[i * (*ds_cnt) + col]);
731                         break;
732                     case CF_LAST:
733                         newval = srcptr[i * (*ds_cnt) + col];
734                         break;
735                     }
736                 }
737             }
738             if (validval == 0) {
739                 newval = DNAN;
740             } else {
741                 switch (cf) {
742                 case CF_HWPREDICT:
743                 case CF_MHWPREDICT:
744                 case CF_DEVSEASONAL:
745                 case CF_DEVPREDICT:
746                 case CF_SEASONAL:
747                 case CF_AVERAGE:
748                     newval /= validval;
749                     break;
750                 case CF_MINIMUM:
751                 case CF_FAILURES:
752                 case CF_MAXIMUM:
753                 case CF_LAST:
754                     break;
755                 }
756             }
757             *dstptr++ = newval;
758         }
759         srcptr += (*ds_cnt) * reduce_factor;
760         row_cnt -= reduce_factor;
761     }
762     /* If we had to alter the endtime, we didn't have enough
763      ** source rows to fill the last row. Fill it with NaN.
764      */
765     if (end_offset)
766         for (col = 0; col < (*ds_cnt); col++)
767             *dstptr++ = DNAN;
768 #ifdef DEBUG_REDUCE
769     row_cnt = ((*end) - (*start)) / *step;
770     srcptr = *data;
771     printf("Done reducing. Currently %lu rows, time %lu to %lu, step %lu\n",
772            row_cnt, *start, *end, *step);
773     for (col = 0; col < row_cnt; col++) {
774         printf("time %10lu: ", *start + (col + 1) * (*step));
775         for (i = 0; i < *ds_cnt; i++)
776             printf(" %8.2e", srcptr[*ds_cnt * col + i]);
777         printf("\n");
778     }
779 #endif
783 /* get the data required for the graphs from the 
784    relevant rrds ... */
786 int data_fetch(
787     image_desc_t *im)
789     int       i, ii;
790     int       skip;
792     /* pull the data from the rrd files ... */
793     for (i = 0; i < (int) im->gdes_c; i++) {
794         /* only GF_DEF elements fetch data */
795         if (im->gdes[i].gf != GF_DEF)
796             continue;
798         skip = 0;
799         /* do we have it already ? */
800         for (ii = 0; ii < i; ii++) {
801             if (im->gdes[ii].gf != GF_DEF)
802                 continue;
803             if ((strcmp(im->gdes[i].rrd, im->gdes[ii].rrd) == 0)
804                 && (im->gdes[i].cf == im->gdes[ii].cf)
805                 && (im->gdes[i].cf_reduce == im->gdes[ii].cf_reduce)
806                 && (im->gdes[i].start_orig == im->gdes[ii].start_orig)
807                 && (im->gdes[i].end_orig == im->gdes[ii].end_orig)
808                 && (im->gdes[i].step_orig == im->gdes[ii].step_orig)) {
809                 /* OK, the data is already there.
810                  ** Just copy the header portion
811                  */
812                 im->gdes[i].start = im->gdes[ii].start;
813                 im->gdes[i].end = im->gdes[ii].end;
814                 im->gdes[i].step = im->gdes[ii].step;
815                 im->gdes[i].ds_cnt = im->gdes[ii].ds_cnt;
816                 im->gdes[i].ds_namv = im->gdes[ii].ds_namv;
817                 im->gdes[i].data = im->gdes[ii].data;
818                 im->gdes[i].data_first = 0;
819                 skip = 1;
820             }
821             if (skip)
822                 break;
823         }
824         if (!skip) {
825             unsigned long ft_step = im->gdes[i].step;   /* ft_step will record what we got from fetch */
827             if ((rrd_fetch_fn(im->gdes[i].rrd,
828                               im->gdes[i].cf,
829                               &im->gdes[i].start,
830                               &im->gdes[i].end,
831                               &ft_step,
832                               &im->gdes[i].ds_cnt,
833                               &im->gdes[i].ds_namv,
834                               &im->gdes[i].data)) == -1) {
835                 return -1;
836             }
837             im->gdes[i].data_first = 1;
839             if (ft_step < im->gdes[i].step) {
840                 reduce_data(im->gdes[i].cf_reduce,
841                             ft_step,
842                             &im->gdes[i].start,
843                             &im->gdes[i].end,
844                             &im->gdes[i].step,
845                             &im->gdes[i].ds_cnt, &im->gdes[i].data);
846             } else {
847                 im->gdes[i].step = ft_step;
848             }
849         }
851         /* lets see if the required data source is really there */
852         for (ii = 0; ii < (int) im->gdes[i].ds_cnt; ii++) {
853             if (strcmp(im->gdes[i].ds_namv[ii], im->gdes[i].ds_nam) == 0) {
854                 im->gdes[i].ds = ii;
855             }
856         }
857         if (im->gdes[i].ds == -1) {
858             rrd_set_error("No DS called '%s' in '%s'",
859                           im->gdes[i].ds_nam, im->gdes[i].rrd);
860             return -1;
861         }
863     }
864     return 0;
867 /* evaluate the expressions in the CDEF functions */
869 /*************************************************************
870  * CDEF stuff 
871  *************************************************************/
873 long find_var_wrapper(
874     void *arg1,
875     char *key)
877     return find_var((image_desc_t *) arg1, key);
880 /* find gdes containing var*/
881 long find_var(
882     image_desc_t *im,
883     char *key)
885     long      ii;
887     for (ii = 0; ii < im->gdes_c - 1; ii++) {
888         if ((im->gdes[ii].gf == GF_DEF
889              || im->gdes[ii].gf == GF_VDEF || im->gdes[ii].gf == GF_CDEF)
890             && (strcmp(im->gdes[ii].vname, key) == 0)) {
891             return ii;
892         }
893     }
894     return -1;
897 /* find the largest common denominator for all the numbers
898    in the 0 terminated num array */
899 long lcd(
900     long *num)
902     long      rest;
903     int       i;
905     for (i = 0; num[i + 1] != 0; i++) {
906         do {
907             rest = num[i] % num[i + 1];
908             num[i] = num[i + 1];
909             num[i + 1] = rest;
910         } while (rest != 0);
911         num[i + 1] = num[i];
912     }
913 /*    return i==0?num[i]:num[i-1]; */
914     return num[i];
917 /* run the rpn calculator on all the VDEF and CDEF arguments */
918 int data_calc(
919     image_desc_t *im)
922     int       gdi;
923     int       dataidx;
924     long     *steparray, rpi;
925     int       stepcnt;
926     time_t    now;
927     rpnstack_t rpnstack;
929     rpnstack_init(&rpnstack);
931     for (gdi = 0; gdi < im->gdes_c; gdi++) {
932         /* Look for GF_VDEF and GF_CDEF in the same loop,
933          * so CDEFs can use VDEFs and vice versa
934          */
935         switch (im->gdes[gdi].gf) {
936         case GF_XPORT:
937             break;
938         case GF_SHIFT:{
939             graph_desc_t *vdp = &im->gdes[im->gdes[gdi].vidx];
941             /* remove current shift */
942             vdp->start -= vdp->shift;
943             vdp->end -= vdp->shift;
945             /* vdef */
946             if (im->gdes[gdi].shidx >= 0)
947                 vdp->shift = im->gdes[im->gdes[gdi].shidx].vf.val;
948             /* constant */
949             else
950                 vdp->shift = im->gdes[gdi].shval;
952             /* normalize shift to multiple of consolidated step */
953             vdp->shift = (vdp->shift / (long) vdp->step) * (long) vdp->step;
955             /* apply shift */
956             vdp->start += vdp->shift;
957             vdp->end += vdp->shift;
958             break;
959         }
960         case GF_VDEF:
961             /* A VDEF has no DS.  This also signals other parts
962              * of rrdtool that this is a VDEF value, not a CDEF.
963              */
964             im->gdes[gdi].ds_cnt = 0;
965             if (vdef_calc(im, gdi)) {
966                 rrd_set_error("Error processing VDEF '%s'",
967                               im->gdes[gdi].vname);
968                 rpnstack_free(&rpnstack);
969                 return -1;
970             }
971             break;
972         case GF_CDEF:
973             im->gdes[gdi].ds_cnt = 1;
974             im->gdes[gdi].ds = 0;
975             im->gdes[gdi].data_first = 1;
976             im->gdes[gdi].start = 0;
977             im->gdes[gdi].end = 0;
978             steparray = NULL;
979             stepcnt = 0;
980             dataidx = -1;
982             /* Find the variables in the expression.
983              * - VDEF variables are substituted by their values
984              *   and the opcode is changed into OP_NUMBER.
985              * - CDEF variables are analized for their step size,
986              *   the lowest common denominator of all the step
987              *   sizes of the data sources involved is calculated
988              *   and the resulting number is the step size for the
989              *   resulting data source.
990              */
991             for (rpi = 0; im->gdes[gdi].rpnp[rpi].op != OP_END; rpi++) {
992                 if (im->gdes[gdi].rpnp[rpi].op == OP_VARIABLE ||
993                     im->gdes[gdi].rpnp[rpi].op == OP_PREV_OTHER) {
994                     long      ptr = im->gdes[gdi].rpnp[rpi].ptr;
996                     if (im->gdes[ptr].ds_cnt == 0) {    /* this is a VDEF data source */
997 #if 0
998                         printf
999                             ("DEBUG: inside CDEF '%s' processing VDEF '%s'\n",
1000                              im->gdes[gdi].vname, im->gdes[ptr].vname);
1001                         printf("DEBUG: value from vdef is %f\n",
1002                                im->gdes[ptr].vf.val);
1003 #endif
1004                         im->gdes[gdi].rpnp[rpi].val = im->gdes[ptr].vf.val;
1005                         im->gdes[gdi].rpnp[rpi].op = OP_NUMBER;
1006                     } else {    /* normal variables and PREF(variables) */
1008                         /* add one entry to the array that keeps track of the step sizes of the
1009                          * data sources going into the CDEF. */
1010                         if ((steparray =
1011                              rrd_realloc(steparray,
1012                                          (++stepcnt +
1013                                           1) * sizeof(*steparray))) == NULL) {
1014                             rrd_set_error("realloc steparray");
1015                             rpnstack_free(&rpnstack);
1016                             return -1;
1017                         };
1019                         steparray[stepcnt - 1] = im->gdes[ptr].step;
1021                         /* adjust start and end of cdef (gdi) so
1022                          * that it runs from the latest start point
1023                          * to the earliest endpoint of any of the
1024                          * rras involved (ptr)
1025                          */
1027                         if (im->gdes[gdi].start < im->gdes[ptr].start)
1028                             im->gdes[gdi].start = im->gdes[ptr].start;
1030                         if (im->gdes[gdi].end == 0 ||
1031                             im->gdes[gdi].end > im->gdes[ptr].end)
1032                             im->gdes[gdi].end = im->gdes[ptr].end;
1034                         /* store pointer to the first element of
1035                          * the rra providing data for variable,
1036                          * further save step size and data source
1037                          * count of this rra
1038                          */
1039                         im->gdes[gdi].rpnp[rpi].data =
1040                             im->gdes[ptr].data + im->gdes[ptr].ds;
1041                         im->gdes[gdi].rpnp[rpi].step = im->gdes[ptr].step;
1042                         im->gdes[gdi].rpnp[rpi].ds_cnt = im->gdes[ptr].ds_cnt;
1044                         /* backoff the *.data ptr; this is done so
1045                          * rpncalc() function doesn't have to treat
1046                          * the first case differently
1047                          */
1048                     }   /* if ds_cnt != 0 */
1049                 }       /* if OP_VARIABLE */
1050             }           /* loop through all rpi */
1052             /* move the data pointers to the correct period */
1053             for (rpi = 0; im->gdes[gdi].rpnp[rpi].op != OP_END; rpi++) {
1054                 if (im->gdes[gdi].rpnp[rpi].op == OP_VARIABLE ||
1055                     im->gdes[gdi].rpnp[rpi].op == OP_PREV_OTHER) {
1056                     long      ptr = im->gdes[gdi].rpnp[rpi].ptr;
1057                     long      diff =
1058                         im->gdes[gdi].start - im->gdes[ptr].start;
1060                     if (diff > 0)
1061                         im->gdes[gdi].rpnp[rpi].data +=
1062                             (diff / im->gdes[ptr].step) *
1063                             im->gdes[ptr].ds_cnt;
1064                 }
1065             }
1067             if (steparray == NULL) {
1068                 rrd_set_error("rpn expressions without DEF"
1069                               " or CDEF variables are not supported");
1070                 rpnstack_free(&rpnstack);
1071                 return -1;
1072             }
1073             steparray[stepcnt] = 0;
1074             /* Now find the resulting step.  All steps in all
1075              * used RRAs have to be visited
1076              */
1077             im->gdes[gdi].step = lcd(steparray);
1078             free(steparray);
1079             if ((im->gdes[gdi].data = malloc(((im->gdes[gdi].end -
1080                                                im->gdes[gdi].start)
1081                                               / im->gdes[gdi].step)
1082                                              * sizeof(double))) == NULL) {
1083                 rrd_set_error("malloc im->gdes[gdi].data");
1084                 rpnstack_free(&rpnstack);
1085                 return -1;
1086             }
1088             /* Step through the new cdef results array and
1089              * calculate the values
1090              */
1091             for (now = im->gdes[gdi].start + im->gdes[gdi].step;
1092                  now <= im->gdes[gdi].end; now += im->gdes[gdi].step) {
1093                 rpnp_t   *rpnp = im->gdes[gdi].rpnp;
1095                 /* 3rd arg of rpn_calc is for OP_VARIABLE lookups;
1096                  * in this case we are advancing by timesteps;
1097                  * we use the fact that time_t is a synonym for long
1098                  */
1099                 if (rpn_calc(rpnp, &rpnstack, (long) now,
1100                              im->gdes[gdi].data, ++dataidx) == -1) {
1101                     /* rpn_calc sets the error string */
1102                     rpnstack_free(&rpnstack);
1103                     return -1;
1104                 }
1105             }           /* enumerate over time steps within a CDEF */
1106             break;
1107         default:
1108             continue;
1109         }
1110     }                   /* enumerate over CDEFs */
1111     rpnstack_free(&rpnstack);
1112     return 0;
1115 /* from http://www.cygnus-software.com/papers/comparingfloats/comparingfloats.htm */
1116 /* yes we are loosing precision by doing tos with floats instead of doubles
1117    but it seems more stable this way. */
1119 static int AlmostEqual2sComplement(
1120     float A,
1121     float B,
1122     int maxUlps)
1125     int       aInt = *(int *) &A;
1126     int       bInt = *(int *) &B;
1127     int       intDiff;
1129     /* Make sure maxUlps is non-negative and small enough that the
1130        default NAN won't compare as equal to anything.  */
1132     /* assert(maxUlps > 0 && maxUlps < 4 * 1024 * 1024); */
1134     /* Make aInt lexicographically ordered as a twos-complement int */
1136     if (aInt < 0)
1137         aInt = 0x80000000l - aInt;
1139     /* Make bInt lexicographically ordered as a twos-complement int */
1141     if (bInt < 0)
1142         bInt = 0x80000000l - bInt;
1144     intDiff = abs(aInt - bInt);
1146     if (intDiff <= maxUlps)
1147         return 1;
1149     return 0;
1152 /* massage data so, that we get one value for each x coordinate in the graph */
1153 int data_proc(
1154     image_desc_t *im)
1156     long      i, ii;
1157     double    pixstep = (double) (im->end - im->start)
1158         / (double) im->xsize;   /* how much time 
1159                                    passes in one pixel */
1160     double    paintval;
1161     double    minval = DNAN, maxval = DNAN;
1163     unsigned long gr_time;
1165     /* memory for the processed data */
1166     for (i = 0; i < im->gdes_c; i++) {
1167         if ((im->gdes[i].gf == GF_LINE) ||
1168             (im->gdes[i].gf == GF_AREA) || (im->gdes[i].gf == GF_TICK)) {
1169             if ((im->gdes[i].p_data = malloc((im->xsize + 1)
1170                                              * sizeof(rrd_value_t))) == NULL) {
1171                 rrd_set_error("malloc data_proc");
1172                 return -1;
1173             }
1174         }
1175     }
1177     for (i = 0; i < im->xsize; i++) {   /* for each pixel */
1178         long      vidx;
1180         gr_time = im->start + pixstep * i;  /* time of the current step */
1181         paintval = 0.0;
1183         for (ii = 0; ii < im->gdes_c; ii++) {
1184             double    value;
1186             switch (im->gdes[ii].gf) {
1187             case GF_LINE:
1188             case GF_AREA:
1189             case GF_TICK:
1190                 if (!im->gdes[ii].stack)
1191                     paintval = 0.0;
1192                 value = im->gdes[ii].yrule;
1193                 if (isnan(value) || (im->gdes[ii].gf == GF_TICK)) {
1194                     /* The time of the data doesn't necessarily match
1195                      ** the time of the graph. Beware.
1196                      */
1197                     vidx = im->gdes[ii].vidx;
1198                     if (im->gdes[vidx].gf == GF_VDEF) {
1199                         value = im->gdes[vidx].vf.val;
1200                     } else
1201                         if (((long int) gr_time >=
1202                              (long int) im->gdes[vidx].start)
1203                             && ((long int) gr_time <=
1204                                 (long int) im->gdes[vidx].end)) {
1205                         value = im->gdes[vidx].data[(unsigned long)
1206                                                     floor((double)
1207                                                           (gr_time -
1208                                                            im->gdes[vidx].
1209                                                            start)
1210                                                           /
1211                                                           im->gdes[vidx].step)
1212                                                     * im->gdes[vidx].ds_cnt +
1213                                                     im->gdes[vidx].ds];
1214                     } else {
1215                         value = DNAN;
1216                     }
1217                 };
1219                 if (!isnan(value)) {
1220                     paintval += value;
1221                     im->gdes[ii].p_data[i] = paintval;
1222                     /* GF_TICK: the data values are not
1223                      ** relevant for min and max
1224                      */
1225                     if (finite(paintval) && im->gdes[ii].gf != GF_TICK) {
1226                         if ((isnan(minval) || paintval < minval) &&
1227                             !(im->logarithmic && paintval <= 0.0))
1228                             minval = paintval;
1229                         if (isnan(maxval) || paintval > maxval)
1230                             maxval = paintval;
1231                     }
1232                 } else {
1233                     im->gdes[ii].p_data[i] = DNAN;
1234                 }
1235                 break;
1236             case GF_STACK:
1237                 rrd_set_error
1238                     ("STACK should already be turned into LINE or AREA here");
1239                 return -1;
1240                 break;
1241             default:
1242                 break;
1243             }
1244         }
1245     }
1247     /* if min or max have not been asigned a value this is because
1248        there was no data in the graph ... this is not good ...
1249        lets set these to dummy values then ... */
1251     if (im->logarithmic) {
1252         if (isnan(minval) || isnan(maxval) || maxval <= 0) {
1253             minval = 0.0;   /* catching this right away below */
1254             maxval = 5.1;
1255         }
1256         /* in logarithm mode, where minval is smaller or equal 
1257            to 0 make the beast just way smaller than maxval */
1258         if (minval <= 0) {
1259             minval = maxval / 10e8;
1260         }
1261     } else {
1262         if (isnan(minval) || isnan(maxval)) {
1263             minval = 0.0;
1264             maxval = 1.0;
1265         }
1266     }
1268     /* adjust min and max values given by the user */
1269     /* for logscale we add something on top */
1270     if (isnan(im->minval)
1271         || ((!im->rigid) && im->minval > minval)
1272         ) {
1273         if (im->logarithmic)
1274             im->minval = minval / 2.0;
1275         else
1276             im->minval = minval;
1277     }
1278     if (isnan(im->maxval)
1279         || (!im->rigid && im->maxval < maxval)
1280         ) {
1281         if (im->logarithmic)
1282             im->maxval = maxval * 2.0;
1283         else
1284             im->maxval = maxval;
1285     }
1287     /* make sure min is smaller than max */
1288     if (im->minval > im->maxval) {
1289         if (im->minval > 0)
1290             im->minval = 0.99 * im->maxval;
1291         else
1292             im->minval = 1.01 * im->maxval;
1293     }
1295     /* make sure min and max are not equal */
1296     if (AlmostEqual2sComplement(im->minval, im->maxval, 4)) {
1297         if (im->maxval > 0)
1298             im->maxval *= 1.01;
1299         else
1300             im->maxval *= 0.99;
1302         /* make sure min and max are not both zero */
1303         if (AlmostEqual2sComplement(im->maxval, 0, 4)) {
1304             im->maxval = 1.0;
1305         }
1306     }
1307     return 0;
1312 /* identify the point where the first gridline, label ... gets placed */
1314 time_t find_first_time(
1315     time_t start,       /* what is the initial time */
1316     enum tmt_en baseint,    /* what is the basic interval */
1317     long basestep       /* how many if these do we jump a time */
1318     )
1320     struct tm tm;
1322     localtime_r(&start, &tm);
1324     switch (baseint) {
1325     case TMT_SECOND:
1326         tm.       tm_sec -= tm.tm_sec % basestep;
1328         break;
1329     case TMT_MINUTE:
1330         tm.       tm_sec = 0;
1331         tm.       tm_min -= tm.tm_min % basestep;
1333         break;
1334     case TMT_HOUR:
1335         tm.       tm_sec = 0;
1336         tm.       tm_min = 0;
1337         tm.       tm_hour -= tm.tm_hour % basestep;
1339         break;
1340     case TMT_DAY:
1341         /* we do NOT look at the basestep for this ... */
1342         tm.       tm_sec = 0;
1343         tm.       tm_min = 0;
1344         tm.       tm_hour = 0;
1346         break;
1347     case TMT_WEEK:
1348         /* we do NOT look at the basestep for this ... */
1349         tm.       tm_sec = 0;
1350         tm.       tm_min = 0;
1351         tm.       tm_hour = 0;
1352         tm.       tm_mday -= tm.tm_wday - 1;    /* -1 because we want the monday */
1354         if (tm.tm_wday == 0)
1355             tm.       tm_mday -= 7; /* we want the *previous* monday */
1357         break;
1358     case TMT_MONTH:
1359         tm.       tm_sec = 0;
1360         tm.       tm_min = 0;
1361         tm.       tm_hour = 0;
1362         tm.       tm_mday = 1;
1363         tm.       tm_mon -= tm.tm_mon % basestep;
1365         break;
1367     case TMT_YEAR:
1368         tm.       tm_sec = 0;
1369         tm.       tm_min = 0;
1370         tm.       tm_hour = 0;
1371         tm.       tm_mday = 1;
1372         tm.       tm_mon = 0;
1373         tm.       tm_year -= (
1374     tm.tm_year + 1900) %basestep;
1376     }
1377     return mktime(&tm);
1380 /* identify the point where the next gridline, label ... gets placed */
1381 time_t find_next_time(
1382     time_t current,     /* what is the initial time */
1383     enum tmt_en baseint,    /* what is the basic interval */
1384     long basestep       /* how many if these do we jump a time */
1385     )
1387     struct tm tm;
1388     time_t    madetime;
1390     localtime_r(&current, &tm);
1392     do {
1393         switch (baseint) {
1394         case TMT_SECOND:
1395             tm.       tm_sec += basestep;
1397             break;
1398         case TMT_MINUTE:
1399             tm.       tm_min += basestep;
1401             break;
1402         case TMT_HOUR:
1403             tm.       tm_hour += basestep;
1405             break;
1406         case TMT_DAY:
1407             tm.       tm_mday += basestep;
1409             break;
1410         case TMT_WEEK:
1411             tm.       tm_mday += 7 * basestep;
1413             break;
1414         case TMT_MONTH:
1415             tm.       tm_mon += basestep;
1417             break;
1418         case TMT_YEAR:
1419             tm.       tm_year += basestep;
1420         }
1421         madetime = mktime(&tm);
1422     } while (madetime == -1);   /* this is necessary to skip impssible times
1423                                    like the daylight saving time skips */
1424     return madetime;
1429 /* calculate values required for PRINT and GPRINT functions */
1431 int print_calc(
1432     image_desc_t *im)
1434     long      i, ii, validsteps;
1435     double    printval;
1436     struct tm tmvdef;
1437     int       graphelement = 0;
1438     long      vidx;
1439     int       max_ii;
1440     double    magfact = -1;
1441     char     *si_symb = "";
1442     char     *percent_s;
1443     int       prline_cnt = 0;
1445     /* wow initializing tmvdef is quite a task :-) */
1446     time_t    now = time(NULL);
1448     localtime_r(&now, &tmvdef);
1449     for (i = 0; i < im->gdes_c; i++) {
1450         vidx = im->gdes[i].vidx;
1451         switch (im->gdes[i].gf) {
1452         case GF_PRINT:
1453         case GF_GPRINT:
1454             /* PRINT and GPRINT can now print VDEF generated values.
1455              * There's no need to do any calculations on them as these
1456              * calculations were already made.
1457              */
1458             if (im->gdes[vidx].gf == GF_VDEF) { /* simply use vals */
1459                 printval = im->gdes[vidx].vf.val;
1460                 localtime_r(&im->gdes[vidx].vf.when, &tmvdef);
1461             } else {    /* need to calculate max,min,avg etcetera */
1462                 max_ii = ((im->gdes[vidx].end - im->gdes[vidx].start)
1463                           / im->gdes[vidx].step * im->gdes[vidx].ds_cnt);
1464                 printval = DNAN;
1465                 validsteps = 0;
1466                 for (ii = im->gdes[vidx].ds;
1467                      ii < max_ii; ii += im->gdes[vidx].ds_cnt) {
1468                     if (!finite(im->gdes[vidx].data[ii]))
1469                         continue;
1470                     if (isnan(printval)) {
1471                         printval = im->gdes[vidx].data[ii];
1472                         validsteps++;
1473                         continue;
1474                     }
1476                     switch (im->gdes[i].cf) {
1477                     case CF_HWPREDICT:
1478                     case CF_MHWPREDICT:
1479                     case CF_DEVPREDICT:
1480                     case CF_DEVSEASONAL:
1481                     case CF_SEASONAL:
1482                     case CF_AVERAGE:
1483                         validsteps++;
1484                         printval += im->gdes[vidx].data[ii];
1485                         break;
1486                     case CF_MINIMUM:
1487                         printval = min(printval, im->gdes[vidx].data[ii]);
1488                         break;
1489                     case CF_FAILURES:
1490                     case CF_MAXIMUM:
1491                         printval = max(printval, im->gdes[vidx].data[ii]);
1492                         break;
1493                     case CF_LAST:
1494                         printval = im->gdes[vidx].data[ii];
1495                     }
1496                 }
1497                 if (im->gdes[i].cf == CF_AVERAGE || im->gdes[i].cf > CF_LAST) {
1498                     if (validsteps > 1) {
1499                         printval = (printval / validsteps);
1500                     }
1501                 }
1502             }           /* prepare printval */
1504             if ((percent_s = strstr(im->gdes[i].format, "%S")) != NULL) {
1505                 /* Magfact is set to -1 upon entry to print_calc.  If it
1506                  * is still less than 0, then we need to run auto_scale.
1507                  * Otherwise, put the value into the correct units.  If
1508                  * the value is 0, then do not set the symbol or magnification
1509                  * so next the calculation will be performed again. */
1510                 if (magfact < 0.0) {
1511                     auto_scale(im, &printval, &si_symb, &magfact);
1512                     if (printval == 0.0)
1513                         magfact = -1.0;
1514                 } else {
1515                     printval /= magfact;
1516                 }
1517                 *(++percent_s) = 's';
1518             } else if (strstr(im->gdes[i].format, "%s") != NULL) {
1519                 auto_scale(im, &printval, &si_symb, &magfact);
1520             }
1522             if (im->gdes[i].gf == GF_PRINT) {
1523                 rrd_infoval_t prline;
1525                 if (im->gdes[i].strftm) {
1526                     prline.u_str = malloc((FMT_LEG_LEN + 2) * sizeof(char));
1527                     strftime(prline.u_str,
1528                              FMT_LEG_LEN, im->gdes[i].format, &tmvdef);
1529                 } else if (bad_format(im->gdes[i].format)) {
1530                     rrd_set_error
1531                         ("bad format for PRINT in '%s'", im->gdes[i].format);
1532                     return -1;
1533                 } else {
1534                     prline.u_str =
1535                         sprintf_alloc(im->gdes[i].format, printval, si_symb);
1536                 }
1537                 grinfo_push(im,
1538                             sprintf_alloc
1539                             ("print[%ld]", prline_cnt++), RD_I_STR, prline);
1540                 free(prline.u_str);
1541             } else {
1542                 /* GF_GPRINT */
1544                 if (im->gdes[i].strftm) {
1545                     strftime(im->gdes[i].legend,
1546                              FMT_LEG_LEN, im->gdes[i].format, &tmvdef);
1547                 } else {
1548                     if (bad_format(im->gdes[i].format)) {
1549                         rrd_set_error
1550                             ("bad format for GPRINT in '%s'",
1551                              im->gdes[i].format);
1552                         return -1;
1553                     }
1554 #ifdef HAVE_SNPRINTF
1555                     snprintf(im->gdes[i].legend,
1556                              FMT_LEG_LEN - 2,
1557                              im->gdes[i].format, printval, si_symb);
1558 #else
1559                     sprintf(im->gdes[i].legend,
1560                             im->gdes[i].format, printval, si_symb);
1561 #endif
1562                 }
1563                 graphelement = 1;
1564             }
1565             break;
1566         case GF_LINE:
1567         case GF_AREA:
1568         case GF_TICK:
1569             graphelement = 1;
1570             break;
1571         case GF_HRULE:
1572             if (isnan(im->gdes[i].yrule)) { /* we must set this here or the legend printer can not decide to print the legend */
1573                 im->gdes[i].yrule = im->gdes[vidx].vf.val;
1574             };
1575             graphelement = 1;
1576             break;
1577         case GF_VRULE:
1578             if (im->gdes[i].xrule == 0) {   /* again ... the legend printer needs it */
1579                 im->gdes[i].xrule = im->gdes[vidx].vf.when;
1580             };
1581             graphelement = 1;
1582             break;
1583         case GF_COMMENT:
1584         case GF_TEXTALIGN:
1585         case GF_DEF:
1586         case GF_CDEF:
1587         case GF_VDEF:
1588 #ifdef WITH_PIECHART
1589         case GF_PART:
1590 #endif
1591         case GF_SHIFT:
1592         case GF_XPORT:
1593             break;
1594         case GF_STACK:
1595             rrd_set_error
1596                 ("STACK should already be turned into LINE or AREA here");
1597             return -1;
1598             break;
1599         }
1600     }
1601     return graphelement;
1605 /* place legends with color spots */
1606 int leg_place(
1607     image_desc_t *im,
1608     int *gY)
1610     /* graph labels */
1611     int       interleg = im->text_prop[TEXT_PROP_LEGEND].size * 2.0;
1612     int       border = im->text_prop[TEXT_PROP_LEGEND].size * 2.0;
1613     int       fill = 0, fill_last;
1614     int       leg_c = 0;
1615     int       leg_x = border;
1616     int       leg_y = im->yimg;
1617     int       leg_y_prev = im->yimg;
1618     int       leg_cc;
1619     int       glue = 0;
1620     int       i, ii, mark = 0;
1621     char      prt_fctn; /*special printfunctions */
1622     char      default_txtalign = TXA_JUSTIFIED; /*default line orientation */
1623     int      *legspace;
1624     char     *tab;
1626     if (!(im->extra_flags & NOLEGEND) & !(im->extra_flags & ONLY_GRAPH)) {
1627         if ((legspace = malloc(im->gdes_c * sizeof(int))) == NULL) {
1628             rrd_set_error("malloc for legspace");
1629             return -1;
1630         }
1632         if (im->extra_flags & FULL_SIZE_MODE)
1633             leg_y = leg_y_prev =
1634                 leg_y - (int) (im->text_prop[TEXT_PROP_LEGEND].size * 1.8);
1635         for (i = 0; i < im->gdes_c; i++) {
1636             fill_last = fill;
1637             /* hide legends for rules which are not displayed */
1638             if (im->gdes[i].gf == GF_TEXTALIGN) {
1639                 default_txtalign = im->gdes[i].txtalign;
1640             }
1642             if (!(im->extra_flags & FORCE_RULES_LEGEND)) {
1643                 if (im->gdes[i].gf == GF_HRULE
1644                     && (im->gdes[i].yrule <
1645                         im->minval || im->gdes[i].yrule > im->maxval))
1646                     im->gdes[i].legend[0] = '\0';
1647                 if (im->gdes[i].gf == GF_VRULE
1648                     && (im->gdes[i].xrule <
1649                         im->start || im->gdes[i].xrule > im->end))
1650                     im->gdes[i].legend[0] = '\0';
1651             }
1653             /* turn \\t into tab */
1654             while ((tab = strstr(im->gdes[i].legend, "\\t"))) {
1655                 memmove(tab, tab + 1, strlen(tab));
1656                 tab[0] = (char) 9;
1657             }
1658             leg_cc = strlen(im->gdes[i].legend);
1659             /* is there a controle code ant the end of the legend string ? */
1660             if (leg_cc >= 2 && im->gdes[i].legend[leg_cc - 2] == '\\') {
1661                 prt_fctn = im->gdes[i].legend[leg_cc - 1];
1662                 leg_cc -= 2;
1663                 im->gdes[i].legend[leg_cc] = '\0';
1664             } else {
1665                 prt_fctn = '\0';
1666             }
1667             /* only valid control codes */
1668             if (prt_fctn != 'l' && prt_fctn != 'n' &&   /* a synonym for l */
1669                 prt_fctn != 'r' &&
1670                 prt_fctn != 'j' &&
1671                 prt_fctn != 'c' &&
1672                 prt_fctn != 's' && prt_fctn != '\0' && prt_fctn != 'g') {
1673                 free(legspace);
1674                 rrd_set_error
1675                     ("Unknown control code at the end of '%s\\%c'",
1676                      im->gdes[i].legend, prt_fctn);
1677                 return -1;
1678             }
1679             /* \n -> \l */
1680             if (prt_fctn == 'n') {
1681                 prt_fctn = 'l';
1682             }
1684             /* remove exess space from the end of the legend for \g */
1685             while (prt_fctn == 'g' &&
1686                    leg_cc > 0 && im->gdes[i].legend[leg_cc - 1] == ' ') {
1687                 leg_cc--;
1688                 im->gdes[i].legend[leg_cc] = '\0';
1689             }
1691             if (leg_cc != 0) {
1693                 /* no interleg space if string ends in \g */
1694                 legspace[i] = (prt_fctn == 'g' ? 0 : interleg);
1695                 if (fill > 0) {
1696                     fill += legspace[i];
1697                 }
1698                 fill +=
1699                     gfx_get_text_width(im,
1700                                        fill + border,
1701                                        im->
1702                                        text_prop
1703                                        [TEXT_PROP_LEGEND].
1704                                        font,
1705                                        im->
1706                                        text_prop
1707                                        [TEXT_PROP_LEGEND].
1708                                        size,
1709                                        im->tabwidth, im->gdes[i].legend);
1710                 leg_c++;
1711             } else {
1712                 legspace[i] = 0;
1713             }
1714             /* who said there was a special tag ... ? */
1715             if (prt_fctn == 'g') {
1716                 prt_fctn = '\0';
1717             }
1719             if (prt_fctn == '\0') {
1720                 if (i == im->gdes_c - 1 || fill > im->ximg - 2 * border) {
1721                     /* just one legend item is left right or center */
1722                     switch (default_txtalign) {
1723                     case TXA_RIGHT:
1724                         prt_fctn = 'r';
1725                         break;
1726                     case TXA_CENTER:
1727                         prt_fctn = 'c';
1728                         break;
1729                     case TXA_JUSTIFIED:
1730                         prt_fctn = 'j';
1731                         break;
1732                     default:
1733                         prt_fctn = 'l';
1734                         break;
1735                     }
1736                 }
1737                 /* is it time to place the legends ? */
1738                 if (fill > im->ximg - 2 * border) {
1739                     if (leg_c > 1) {
1740                         /* go back one */
1741                         i--;
1742                         fill = fill_last;
1743                         leg_c--;
1744                     }
1745                 }
1746                 if (leg_c == 1 && prt_fctn == 'j') {
1747                     prt_fctn = 'l';
1748                 }
1749             }
1752             if (prt_fctn != '\0') {
1753                 leg_x = border;
1754                 if (leg_c >= 2 && prt_fctn == 'j') {
1755                     glue = (im->ximg - fill - 2 * border) / (leg_c - 1);
1756                 } else {
1757                     glue = 0;
1758                 }
1759                 if (prt_fctn == 'c')
1760                     leg_x = (im->ximg - fill) / 2.0;
1761                 if (prt_fctn == 'r')
1762                     leg_x = im->ximg - fill - border;
1763                 for (ii = mark; ii <= i; ii++) {
1764                     if (im->gdes[ii].legend[0] == '\0')
1765                         continue;   /* skip empty legends */
1766                     im->gdes[ii].leg_x = leg_x;
1767                     im->gdes[ii].leg_y = leg_y;
1768                     leg_x +=
1769                         gfx_get_text_width(im, leg_x,
1770                                            im->
1771                                            text_prop
1772                                            [TEXT_PROP_LEGEND].
1773                                            font,
1774                                            im->
1775                                            text_prop
1776                                            [TEXT_PROP_LEGEND].
1777                                            size,
1778                                            im->tabwidth, im->gdes[ii].legend)
1779                         + legspace[ii]
1780                         + glue;
1781                 }
1782                 leg_y_prev = leg_y;
1783                 if (im->extra_flags & FULL_SIZE_MODE) {
1784                     /* only add y space if there was text on the line */
1785                     if (leg_x > border || prt_fctn == 's')
1786                         leg_y -= im->text_prop[TEXT_PROP_LEGEND].size * 1.8;
1787                     if (prt_fctn == 's')
1788                         leg_y += im->text_prop[TEXT_PROP_LEGEND].size;
1789                 } else {
1790                     if (leg_x > border || prt_fctn == 's')
1791                         leg_y += im->text_prop[TEXT_PROP_LEGEND].size * 1.8;
1792                     if (prt_fctn == 's')
1793                         leg_y -= im->text_prop[TEXT_PROP_LEGEND].size;
1794                 }
1795                 fill = 0;
1796                 leg_c = 0;
1797                 mark = ii;
1798             }
1799         }
1801         if (im->extra_flags & FULL_SIZE_MODE) {
1802             if (leg_y != leg_y_prev) {
1803                 *gY = leg_y - im->text_prop[TEXT_PROP_LEGEND].size * 1.8;
1804                 im->yorigin =
1805                     leg_y - im->text_prop[TEXT_PROP_LEGEND].size * 1.8;
1806             }
1807         } else {
1808             im->yimg =
1809                 leg_y - im->text_prop[TEXT_PROP_LEGEND].size * 1.8 +
1810                 border * 0.6;
1811         }
1812         free(legspace);
1813     }
1814     return 0;
1817 /* create a grid on the graph. it determines what to do
1818    from the values of xsize, start and end */
1820 /* the xaxis labels are determined from the number of seconds per pixel
1821    in the requested graph */
1823 int calc_horizontal_grid(
1824     image_desc_t
1825     *im)
1827     double    range;
1828     double    scaledrange;
1829     int       pixel, i;
1830     int       gridind = 0;
1831     int       decimals, fractionals;
1833     im->ygrid_scale.labfact = 2;
1834     range = im->maxval - im->minval;
1835     scaledrange = range / im->magfact;
1836     /* does the scale of this graph make it impossible to put lines
1837        on it? If so, give up. */
1838     if (isnan(scaledrange)) {
1839         return 0;
1840     }
1842     /* find grid spaceing */
1843     pixel = 1;
1844     if (isnan(im->ygridstep)) {
1845         if (im->extra_flags & ALTYGRID) {
1846             /* find the value with max number of digits. Get number of digits */
1847             decimals =
1848                 ceil(log10
1849                      (max(fabs(im->maxval), fabs(im->minval)) *
1850                       im->viewfactor / im->magfact));
1851             if (decimals <= 0)  /* everything is small. make place for zero */
1852                 decimals = 1;
1853             im->ygrid_scale.gridstep =
1854                 pow((double) 10,
1855                     floor(log10(range * im->viewfactor / im->magfact))) /
1856                 im->viewfactor * im->magfact;
1857             if (im->ygrid_scale.gridstep == 0)  /* range is one -> 0.1 is reasonable scale */
1858                 im->ygrid_scale.gridstep = 0.1;
1859             /* should have at least 5 lines but no more then 15 */
1860             if (range / im->ygrid_scale.gridstep < 5
1861                 && im->ygrid_scale.gridstep >= 30)
1862                 im->ygrid_scale.gridstep /= 10;
1863             if (range / im->ygrid_scale.gridstep > 15)
1864                 im->ygrid_scale.gridstep *= 10;
1865             if (range / im->ygrid_scale.gridstep > 5) {
1866                 im->ygrid_scale.labfact = 1;
1867                 if (range / im->ygrid_scale.gridstep > 8
1868                     || im->ygrid_scale.gridstep <
1869                     1.8 * im->text_prop[TEXT_PROP_AXIS].size)
1870                     im->ygrid_scale.labfact = 2;
1871             } else {
1872                 im->ygrid_scale.gridstep /= 5;
1873                 im->ygrid_scale.labfact = 5;
1874             }
1875             fractionals =
1876                 floor(log10
1877                       (im->ygrid_scale.gridstep *
1878                        (double) im->ygrid_scale.labfact * im->viewfactor /
1879                        im->magfact));
1880             if (fractionals < 0) {  /* small amplitude. */
1881                 int       len = decimals - fractionals + 1;
1883                 if (im->unitslength < len + 2)
1884                     im->unitslength = len + 2;
1885                 sprintf(im->ygrid_scale.labfmt,
1886                         "%%%d.%df%s", len,
1887                         -fractionals, (im->symbol != ' ' ? " %c" : ""));
1888             } else {
1889                 int       len = decimals + 1;
1891                 if (im->unitslength < len + 2)
1892                     im->unitslength = len + 2;
1893                 sprintf(im->ygrid_scale.labfmt,
1894                         "%%%d.0f%s", len, (im->symbol != ' ' ? " %c" : ""));
1895             }
1896         } else {        /* classic rrd grid */
1897             for (i = 0; ylab[i].grid > 0; i++) {
1898                 pixel = im->ysize / (scaledrange / ylab[i].grid);
1899                 gridind = i;
1900                 if (pixel >= 5)
1901                     break;
1902             }
1904             for (i = 0; i < 4; i++) {
1905                 if (pixel * ylab[gridind].lfac[i] >=
1906                     1.8 * im->text_prop[TEXT_PROP_AXIS].size) {
1907                     im->ygrid_scale.labfact = ylab[gridind].lfac[i];
1908                     break;
1909                 }
1910             }
1912             im->ygrid_scale.gridstep = ylab[gridind].grid * im->magfact;
1913         }
1914     } else {
1915         im->ygrid_scale.gridstep = im->ygridstep;
1916         im->ygrid_scale.labfact = im->ylabfact;
1917     }
1918     return 1;
1921 int draw_horizontal_grid(
1922     image_desc_t
1923     *im)
1925     int       i;
1926     double    scaledstep;
1927     char      graph_label[100];
1928     int       nlabels = 0;
1929     double    X0 = im->xorigin;
1930     double    X1 = im->xorigin + im->xsize;
1931     int       sgrid = (int) (im->minval / im->ygrid_scale.gridstep - 1);
1932     int       egrid = (int) (im->maxval / im->ygrid_scale.gridstep + 1);
1933     double    MaxY;
1935     scaledstep =
1936         im->ygrid_scale.gridstep /
1937         (double) im->magfact * (double) im->viewfactor;
1938     MaxY = scaledstep * (double) egrid;
1939     for (i = sgrid; i <= egrid; i++) {
1940         double    Y0 = ytr(im,
1941                            im->ygrid_scale.gridstep * i);
1942         double    YN = ytr(im,
1943                            im->ygrid_scale.gridstep * (i + 1));
1945         if (floor(Y0 + 0.5) >=
1946             im->yorigin - im->ysize && floor(Y0 + 0.5) <= im->yorigin) {
1947             /* Make sure at least 2 grid labels are shown, even if it doesn't agree
1948                with the chosen settings. Add a label if required by settings, or if
1949                there is only one label so far and the next grid line is out of bounds. */
1950             if (i % im->ygrid_scale.labfact == 0
1951                 || (nlabels == 1
1952                     && (YN < im->yorigin - im->ysize || YN > im->yorigin))) {
1953                 if (im->symbol == ' ') {
1954                     if (im->extra_flags & ALTYGRID) {
1955                         sprintf(graph_label,
1956                                 im->ygrid_scale.labfmt,
1957                                 scaledstep * (double) i);
1958                     } else {
1959                         if (MaxY < 10) {
1960                             sprintf(graph_label, "%4.1f",
1961                                     scaledstep * (double) i);
1962                         } else {
1963                             sprintf(graph_label, "%4.0f",
1964                                     scaledstep * (double) i);
1965                         }
1966                     }
1967                 } else {
1968                     char      sisym = (i == 0 ? ' ' : im->symbol);
1970                     if (im->extra_flags & ALTYGRID) {
1971                         sprintf(graph_label,
1972                                 im->ygrid_scale.labfmt,
1973                                 scaledstep * (double) i, sisym);
1974                     } else {
1975                         if (MaxY < 10) {
1976                             sprintf(graph_label, "%4.1f %c",
1977                                     scaledstep * (double) i, sisym);
1978                         } else {
1979                             sprintf(graph_label, "%4.0f %c",
1980                                     scaledstep * (double) i, sisym);
1981                         }
1982                     }
1983                 }
1984                 nlabels++;
1985                 gfx_text(im,
1986                          X0 -
1987                          im->
1988                          text_prop[TEXT_PROP_AXIS].
1989                          size, Y0,
1990                          im->graph_col[GRC_FONT],
1991                          im->
1992                          text_prop[TEXT_PROP_AXIS].
1993                          font,
1994                          im->
1995                          text_prop[TEXT_PROP_AXIS].
1996                          size, im->tabwidth, 0.0,
1997                          GFX_H_RIGHT, GFX_V_CENTER, graph_label);
1998                 gfx_line(im, X0 - 2, Y0, X0, Y0,
1999                          MGRIDWIDTH, im->graph_col[GRC_MGRID]);
2000                 gfx_line(im, X1, Y0, X1 + 2, Y0,
2001                          MGRIDWIDTH, im->graph_col[GRC_MGRID]);
2002                 gfx_dashed_line(im, X0 - 2, Y0,
2003                                 X1 + 2, Y0,
2004                                 MGRIDWIDTH,
2005                                 im->
2006                                 graph_col
2007                                 [GRC_MGRID],
2008                                 im->grid_dash_on, im->grid_dash_off);
2009             } else if (!(im->extra_flags & NOMINOR)) {
2010                 gfx_line(im,
2011                          X0 - 2, Y0,
2012                          X0, Y0, GRIDWIDTH, im->graph_col[GRC_GRID]);
2013                 gfx_line(im, X1, Y0, X1 + 2, Y0,
2014                          GRIDWIDTH, im->graph_col[GRC_GRID]);
2015                 gfx_dashed_line(im, X0 - 1, Y0,
2016                                 X1 + 1, Y0,
2017                                 GRIDWIDTH,
2018                                 im->
2019                                 graph_col[GRC_GRID],
2020                                 im->grid_dash_on, im->grid_dash_off);
2021             }
2022         }
2023     }
2024     return 1;
2027 /* this is frexp for base 10 */
2028 double    frexp10(
2029     double,
2030     double *);
2031 double frexp10(
2032     double x,
2033     double *e)
2035     double    mnt;
2036     int       iexp;
2038     iexp = floor(log(fabs(x)) / log(10));
2039     mnt = x / pow(10.0, iexp);
2040     if (mnt >= 10.0) {
2041         iexp++;
2042         mnt = x / pow(10.0, iexp);
2043     }
2044     *e = iexp;
2045     return mnt;
2049 /* logaritmic horizontal grid */
2050 int horizontal_log_grid(
2051     image_desc_t
2052     *im)
2054     double    yloglab[][10] = {
2055         {
2056          1.0, 10., 0.0, 0.0, 0.0, 0.0, 0.0,
2057          0.0, 0.0, 0.0}, {
2058                           1.0, 5.0, 10., 0.0, 0.0, 0.0, 0.0,
2059                           0.0, 0.0, 0.0}, {
2060                                            1.0, 2.0, 5.0, 7.0, 10., 0.0, 0.0,
2061                                            0.0, 0.0, 0.0}, {
2062                                                             1.0, 2.0, 4.0,
2063                                                             6.0, 8.0, 10.,
2064                                                             0.0,
2065                                                             0.0, 0.0, 0.0}, {
2066                                                                              1.0,
2067                                                                              2.0,
2068                                                                              3.0,
2069                                                                              4.0,
2070                                                                              5.0,
2071                                                                              6.0,
2072                                                                              7.0,
2073                                                                              8.0,
2074                                                                              9.0,
2075                                                                              10.},
2076         {
2077          0, 0, 0, 0, 0, 0, 0, 0, 0, 0}  /* last line */
2078     };
2079     int       i, j, val_exp, min_exp;
2080     double    nex;      /* number of decades in data */
2081     double    logscale; /* scale in logarithmic space */
2082     int       exfrac = 1;   /* decade spacing */
2083     int       mid = -1; /* row in yloglab for major grid */
2084     double    mspac;    /* smallest major grid spacing (pixels) */
2085     int       flab;     /* first value in yloglab to use */
2086     double    value, tmp, pre_value;
2087     double    X0, X1, Y0;
2088     char      graph_label[100];
2090     nex = log10(im->maxval / im->minval);
2091     logscale = im->ysize / nex;
2092     /* major spacing for data with high dynamic range */
2093     while (logscale * exfrac < 3 * im->text_prop[TEXT_PROP_LEGEND].size) {
2094         if (exfrac == 1)
2095             exfrac = 3;
2096         else
2097             exfrac += 3;
2098     }
2100     /* major spacing for less dynamic data */
2101     do {
2102         /* search best row in yloglab */
2103         mid++;
2104         for (i = 0; yloglab[mid][i + 1] < 10.0; i++);
2105         mspac = logscale * log10(10.0 / yloglab[mid][i]);
2106     }
2107     while (mspac >
2108            2 * im->text_prop[TEXT_PROP_LEGEND].size && yloglab[mid][0] > 0);
2109     if (mid)
2110         mid--;
2111     /* find first value in yloglab */
2112     for (flab = 0;
2113          yloglab[mid][flab] < 10
2114          && frexp10(im->minval, &tmp) > yloglab[mid][flab]; flab++);
2115     if (yloglab[mid][flab] == 10.0) {
2116         tmp += 1.0;
2117         flab = 0;
2118     }
2119     val_exp = tmp;
2120     if (val_exp % exfrac)
2121         val_exp += abs(-val_exp % exfrac);
2122     X0 = im->xorigin;
2123     X1 = im->xorigin + im->xsize;
2124     /* draw grid */
2125     pre_value = DNAN;
2126     while (1) {
2128         value = yloglab[mid][flab] * pow(10.0, val_exp);
2129         if (AlmostEqual2sComplement(value, pre_value, 4))
2130             break;      /* it seems we are not converging */
2131         pre_value = value;
2132         Y0 = ytr(im, value);
2133         if (floor(Y0 + 0.5) <= im->yorigin - im->ysize)
2134             break;
2135         /* major grid line */
2136         gfx_line(im,
2137                  X0 - 2, Y0, X0, Y0, MGRIDWIDTH, im->graph_col[GRC_MGRID]);
2138         gfx_line(im, X1, Y0, X1 + 2, Y0,
2139                  MGRIDWIDTH, im->graph_col[GRC_MGRID]);
2140         gfx_dashed_line(im, X0 - 2, Y0,
2141                         X1 + 2, Y0,
2142                         MGRIDWIDTH,
2143                         im->
2144                         graph_col
2145                         [GRC_MGRID], im->grid_dash_on, im->grid_dash_off);
2146         /* label */
2147         if (im->extra_flags & FORCE_UNITS_SI) {
2148             int       scale;
2149             double    pvalue;
2150             char      symbol;
2152             scale = floor(val_exp / 3.0);
2153             if (value >= 1.0)
2154                 pvalue = pow(10.0, val_exp % 3);
2155             else
2156                 pvalue = pow(10.0, ((val_exp + 1) % 3) + 2);
2157             pvalue *= yloglab[mid][flab];
2158             if (((scale + si_symbcenter) < (int) sizeof(si_symbol))
2159                 && ((scale + si_symbcenter) >= 0))
2160                 symbol = si_symbol[scale + si_symbcenter];
2161             else
2162                 symbol = '?';
2163             sprintf(graph_label, "%3.0f %c", pvalue, symbol);
2164         } else
2165             sprintf(graph_label, "%3.0e", value);
2166         gfx_text(im,
2167                  X0 -
2168                  im->
2169                  text_prop[TEXT_PROP_AXIS].
2170                  size, Y0,
2171                  im->graph_col[GRC_FONT],
2172                  im->
2173                  text_prop[TEXT_PROP_AXIS].
2174                  font,
2175                  im->
2176                  text_prop[TEXT_PROP_AXIS].
2177                  size, im->tabwidth, 0.0,
2178                  GFX_H_RIGHT, GFX_V_CENTER, graph_label);
2179         /* minor grid */
2180         if (mid < 4 && exfrac == 1) {
2181             /* find first and last minor line behind current major line
2182              * i is the first line and j tha last */
2183             if (flab == 0) {
2184                 min_exp = val_exp - 1;
2185                 for (i = 1; yloglab[mid][i] < 10.0; i++);
2186                 i = yloglab[mid][i - 1] + 1;
2187                 j = 10;
2188             } else {
2189                 min_exp = val_exp;
2190                 i = yloglab[mid][flab - 1] + 1;
2191                 j = yloglab[mid][flab];
2192             }
2194             /* draw minor lines below current major line */
2195             for (; i < j; i++) {
2197                 value = i * pow(10.0, min_exp);
2198                 if (value < im->minval)
2199                     continue;
2200                 Y0 = ytr(im, value);
2201                 if (floor(Y0 + 0.5) <= im->yorigin - im->ysize)
2202                     break;
2203                 /* draw lines */
2204                 gfx_line(im,
2205                          X0 - 2, Y0,
2206                          X0, Y0, GRIDWIDTH, im->graph_col[GRC_GRID]);
2207                 gfx_line(im, X1, Y0, X1 + 2, Y0,
2208                          GRIDWIDTH, im->graph_col[GRC_GRID]);
2209                 gfx_dashed_line(im, X0 - 1, Y0,
2210                                 X1 + 1, Y0,
2211                                 GRIDWIDTH,
2212                                 im->
2213                                 graph_col[GRC_GRID],
2214                                 im->grid_dash_on, im->grid_dash_off);
2215             }
2216         } else if (exfrac > 1) {
2217             for (i = val_exp - exfrac / 3 * 2; i < val_exp; i += exfrac / 3) {
2218                 value = pow(10.0, i);
2219                 if (value < im->minval)
2220                     continue;
2221                 Y0 = ytr(im, value);
2222                 if (floor(Y0 + 0.5) <= im->yorigin - im->ysize)
2223                     break;
2224                 /* draw lines */
2225                 gfx_line(im,
2226                          X0 - 2, Y0,
2227                          X0, Y0, GRIDWIDTH, im->graph_col[GRC_GRID]);
2228                 gfx_line(im, X1, Y0, X1 + 2, Y0,
2229                          GRIDWIDTH, im->graph_col[GRC_GRID]);
2230                 gfx_dashed_line(im, X0 - 1, Y0,
2231                                 X1 + 1, Y0,
2232                                 GRIDWIDTH,
2233                                 im->
2234                                 graph_col[GRC_GRID],
2235                                 im->grid_dash_on, im->grid_dash_off);
2236             }
2237         }
2239         /* next decade */
2240         if (yloglab[mid][++flab] == 10.0) {
2241             flab = 0;
2242             val_exp += exfrac;
2243         }
2244     }
2246     /* draw minor lines after highest major line */
2247     if (mid < 4 && exfrac == 1) {
2248         /* find first and last minor line below current major line
2249          * i is the first line and j tha last */
2250         if (flab == 0) {
2251             min_exp = val_exp - 1;
2252             for (i = 1; yloglab[mid][i] < 10.0; i++);
2253             i = yloglab[mid][i - 1] + 1;
2254             j = 10;
2255         } else {
2256             min_exp = val_exp;
2257             i = yloglab[mid][flab - 1] + 1;
2258             j = yloglab[mid][flab];
2259         }
2261         /* draw minor lines below current major line */
2262         for (; i < j; i++) {
2264             value = i * pow(10.0, min_exp);
2265             if (value < im->minval)
2266                 continue;
2267             Y0 = ytr(im, value);
2268             if (floor(Y0 + 0.5) <= im->yorigin - im->ysize)
2269                 break;
2270             /* draw lines */
2271             gfx_line(im,
2272                      X0 - 2, Y0, X0, Y0, GRIDWIDTH, im->graph_col[GRC_GRID]);
2273             gfx_line(im, X1, Y0, X1 + 2, Y0,
2274                      GRIDWIDTH, im->graph_col[GRC_GRID]);
2275             gfx_dashed_line(im, X0 - 1, Y0,
2276                             X1 + 1, Y0,
2277                             GRIDWIDTH,
2278                             im->
2279                             graph_col[GRC_GRID],
2280                             im->grid_dash_on, im->grid_dash_off);
2281         }
2282     }
2283     /* fancy minor gridlines */
2284     else if (exfrac > 1) {
2285         for (i = val_exp - exfrac / 3 * 2; i < val_exp; i += exfrac / 3) {
2286             value = pow(10.0, i);
2287             if (value < im->minval)
2288                 continue;
2289             Y0 = ytr(im, value);
2290             if (floor(Y0 + 0.5) <= im->yorigin - im->ysize)
2291                 break;
2292             /* draw lines */
2293             gfx_line(im,
2294                      X0 - 2, Y0, X0, Y0, GRIDWIDTH, im->graph_col[GRC_GRID]);
2295             gfx_line(im, X1, Y0, X1 + 2, Y0,
2296                      GRIDWIDTH, im->graph_col[GRC_GRID]);
2297             gfx_dashed_line(im, X0 - 1, Y0,
2298                             X1 + 1, Y0,
2299                             GRIDWIDTH,
2300                             im->
2301                             graph_col[GRC_GRID],
2302                             im->grid_dash_on, im->grid_dash_off);
2303         }
2304     }
2306     return 1;
2310 void vertical_grid(
2311     image_desc_t *im)
2313     int       xlab_sel; /* which sort of label and grid ? */
2314     time_t    ti, tilab, timajor;
2315     long      factor;
2316     char      graph_label[100];
2317     double    X0, Y0, Y1;   /* points for filled graph and more */
2318     struct tm tm;
2320     /* the type of time grid is determined by finding
2321        the number of seconds per pixel in the graph */
2322     if (im->xlab_user.minsec == -1) {
2323         factor = (im->end - im->start) / im->xsize;
2324         xlab_sel = 0;
2325         while (xlab[xlab_sel + 1].minsec !=
2326                -1 && xlab[xlab_sel + 1].minsec <= factor) {
2327             xlab_sel++;
2328         }               /* pick the last one */
2329         while (xlab[xlab_sel - 1].minsec ==
2330                xlab[xlab_sel].minsec
2331                && xlab[xlab_sel].length > (im->end - im->start)) {
2332             xlab_sel--;
2333         }               /* go back to the smallest size */
2334         im->xlab_user.gridtm = xlab[xlab_sel].gridtm;
2335         im->xlab_user.gridst = xlab[xlab_sel].gridst;
2336         im->xlab_user.mgridtm = xlab[xlab_sel].mgridtm;
2337         im->xlab_user.mgridst = xlab[xlab_sel].mgridst;
2338         im->xlab_user.labtm = xlab[xlab_sel].labtm;
2339         im->xlab_user.labst = xlab[xlab_sel].labst;
2340         im->xlab_user.precis = xlab[xlab_sel].precis;
2341         im->xlab_user.stst = xlab[xlab_sel].stst;
2342     }
2344     /* y coords are the same for every line ... */
2345     Y0 = im->yorigin;
2346     Y1 = im->yorigin - im->ysize;
2347     /* paint the minor grid */
2348     if (!(im->extra_flags & NOMINOR)) {
2349         for (ti = find_first_time(im->start,
2350                                   im->
2351                                   xlab_user.
2352                                   gridtm,
2353                                   im->
2354                                   xlab_user.
2355                                   gridst),
2356              timajor =
2357              find_first_time(im->start,
2358                              im->xlab_user.
2359                              mgridtm,
2360                              im->xlab_user.
2361                              mgridst);
2362              ti < im->end;
2363              ti =
2364              find_next_time(ti, im->xlab_user.gridtm, im->xlab_user.gridst)
2365             ) {
2366             /* are we inside the graph ? */
2367             if (ti < im->start || ti > im->end)
2368                 continue;
2369             while (timajor < ti) {
2370                 timajor = find_next_time(timajor,
2371                                          im->
2372                                          xlab_user.
2373                                          mgridtm, im->xlab_user.mgridst);
2374             }
2375             if (ti == timajor)
2376                 continue;   /* skip as falls on major grid line */
2377             X0 = xtr(im, ti);
2378             gfx_line(im, X0, Y1 - 2, X0, Y1,
2379                      GRIDWIDTH, im->graph_col[GRC_GRID]);
2380             gfx_line(im, X0, Y0, X0, Y0 + 2,
2381                      GRIDWIDTH, im->graph_col[GRC_GRID]);
2382             gfx_dashed_line(im, X0, Y0 + 1, X0,
2383                             Y1 - 1, GRIDWIDTH,
2384                             im->
2385                             graph_col[GRC_GRID],
2386                             im->grid_dash_on, im->grid_dash_off);
2387         }
2388     }
2390     /* paint the major grid */
2391     for (ti = find_first_time(im->start,
2392                               im->
2393                               xlab_user.
2394                               mgridtm,
2395                               im->
2396                               xlab_user.
2397                               mgridst);
2398          ti < im->end;
2399          ti = find_next_time(ti, im->xlab_user.mgridtm, im->xlab_user.mgridst)
2400         ) {
2401         /* are we inside the graph ? */
2402         if (ti < im->start || ti > im->end)
2403             continue;
2404         X0 = xtr(im, ti);
2405         gfx_line(im, X0, Y1 - 2, X0, Y1,
2406                  MGRIDWIDTH, im->graph_col[GRC_MGRID]);
2407         gfx_line(im, X0, Y0, X0, Y0 + 3,
2408                  MGRIDWIDTH, im->graph_col[GRC_MGRID]);
2409         gfx_dashed_line(im, X0, Y0 + 3, X0,
2410                         Y1 - 2, MGRIDWIDTH,
2411                         im->
2412                         graph_col
2413                         [GRC_MGRID], im->grid_dash_on, im->grid_dash_off);
2414     }
2415     /* paint the labels below the graph */
2416     for (ti =
2417          find_first_time(im->start -
2418                          im->xlab_user.
2419                          precis / 2,
2420                          im->xlab_user.
2421                          labtm,
2422                          im->xlab_user.
2423                          labst);
2424          ti <=
2425          im->end -
2426          im->xlab_user.precis / 2;
2427          ti = find_next_time(ti, im->xlab_user.labtm, im->xlab_user.labst)
2428         ) {
2429         tilab = ti + im->xlab_user.precis / 2;  /* correct time for the label */
2430         /* are we inside the graph ? */
2431         if (tilab < im->start || tilab > im->end)
2432             continue;
2433 #if HAVE_STRFTIME
2434         localtime_r(&tilab, &tm);
2435         strftime(graph_label, 99, im->xlab_user.stst, &tm);
2436 #else
2437 # error "your libc has no strftime I guess we'll abort the exercise here."
2438 #endif
2439         gfx_text(im,
2440                  xtr(im, tilab),
2441                  Y0 + 3,
2442                  im->graph_col[GRC_FONT],
2443                  im->
2444                  text_prop[TEXT_PROP_AXIS].
2445                  font,
2446                  im->
2447                  text_prop[TEXT_PROP_AXIS].
2448                  size, im->tabwidth, 0.0,
2449                  GFX_H_CENTER, GFX_V_TOP, graph_label);
2450     }
2455 void axis_paint(
2456     image_desc_t *im)
2458     /* draw x and y axis */
2459     /* gfx_line ( im->canvas, im->xorigin+im->xsize,im->yorigin,
2460        im->xorigin+im->xsize,im->yorigin-im->ysize,
2461        GRIDWIDTH, im->graph_col[GRC_AXIS]);
2463        gfx_line ( im->canvas, im->xorigin,im->yorigin-im->ysize,
2464        im->xorigin+im->xsize,im->yorigin-im->ysize,
2465        GRIDWIDTH, im->graph_col[GRC_AXIS]); */
2467     gfx_line(im, im->xorigin - 4,
2468              im->yorigin,
2469              im->xorigin + im->xsize +
2470              4, im->yorigin, MGRIDWIDTH, im->graph_col[GRC_AXIS]);
2471     gfx_line(im, im->xorigin,
2472              im->yorigin + 4,
2473              im->xorigin,
2474              im->yorigin - im->ysize -
2475              4, MGRIDWIDTH, im->graph_col[GRC_AXIS]);
2476     /* arrow for X and Y axis direction */
2477     gfx_new_area(im, im->xorigin + im->xsize + 2, im->yorigin - 3, im->xorigin + im->xsize + 2, im->yorigin + 3, im->xorigin + im->xsize + 7, im->yorigin,  /* horyzontal */
2478                  im->graph_col[GRC_ARROW]);
2479     gfx_close_path(im);
2480     gfx_new_area(im, im->xorigin - 3, im->yorigin - im->ysize - 2, im->xorigin + 3, im->yorigin - im->ysize - 2, im->xorigin, im->yorigin - im->ysize - 7,  /* vertical */
2481                  im->graph_col[GRC_ARROW]);
2482     gfx_close_path(im);
2485 void grid_paint(
2486     image_desc_t *im)
2488     long      i;
2489     int       res = 0;
2490     double    X0, Y0;   /* points for filled graph and more */
2491     struct gfx_color_t water_color;
2493     /* draw 3d border */
2494     gfx_new_area(im, 0, im->yimg,
2495                  2, im->yimg - 2, 2, 2, im->graph_col[GRC_SHADEA]);
2496     gfx_add_point(im, im->ximg - 2, 2);
2497     gfx_add_point(im, im->ximg, 0);
2498     gfx_add_point(im, 0, 0);
2499     gfx_close_path(im);
2500     gfx_new_area(im, 2, im->yimg - 2,
2501                  im->ximg - 2,
2502                  im->yimg - 2, im->ximg - 2, 2, im->graph_col[GRC_SHADEB]);
2503     gfx_add_point(im, im->ximg, 0);
2504     gfx_add_point(im, im->ximg, im->yimg);
2505     gfx_add_point(im, 0, im->yimg);
2506     gfx_close_path(im);
2507     if (im->draw_x_grid == 1)
2508         vertical_grid(im);
2509     if (im->draw_y_grid == 1) {
2510         if (im->logarithmic) {
2511             res = horizontal_log_grid(im);
2512         } else {
2513             res = draw_horizontal_grid(im);
2514         }
2516         /* dont draw horizontal grid if there is no min and max val */
2517         if (!res) {
2518             char     *nodata = "No Data found";
2520             gfx_text(im, im->ximg / 2,
2521                      (2 * im->yorigin -
2522                       im->ysize) / 2,
2523                      im->graph_col[GRC_FONT],
2524                      im->
2525                      text_prop[TEXT_PROP_AXIS].
2526                      font,
2527                      im->
2528                      text_prop[TEXT_PROP_AXIS].
2529                      size, im->tabwidth, 0.0,
2530                      GFX_H_CENTER, GFX_V_CENTER, nodata);
2531         }
2532     }
2534     /* yaxis unit description */
2535     gfx_text(im,
2536              10,
2537              (im->yorigin -
2538               im->ysize / 2),
2539              im->graph_col[GRC_FONT],
2540              im->
2541              text_prop[TEXT_PROP_UNIT].
2542              font,
2543              im->
2544              text_prop[TEXT_PROP_UNIT].
2545              size, im->tabwidth,
2546              RRDGRAPH_YLEGEND_ANGLE, GFX_H_CENTER, GFX_V_CENTER, im->ylegend);
2547     /* graph title */
2548     gfx_text(im,
2549              im->ximg / 2, 6,
2550              im->graph_col[GRC_FONT],
2551              im->
2552              text_prop[TEXT_PROP_TITLE].
2553              font,
2554              im->
2555              text_prop[TEXT_PROP_TITLE].
2556              size, im->tabwidth, 0.0, GFX_H_CENTER, GFX_V_TOP, im->title);
2557     /* rrdtool 'logo' */
2558     water_color = im->graph_col[GRC_FONT];
2559     water_color.alpha = 0.3;
2560     gfx_text(im, im->ximg - 4, 5,
2561              water_color,
2562              im->
2563              text_prop[TEXT_PROP_AXIS].
2564              font, 5.5, im->tabwidth,
2565              -90, GFX_H_LEFT, GFX_V_TOP, "RRDTOOL / TOBI OETIKER");
2566     /* graph watermark */
2567     if (im->watermark[0] != '\0') {
2568         gfx_text(im,
2569                  im->ximg / 2, im->yimg - 6,
2570                  water_color,
2571                  im->
2572                  text_prop[TEXT_PROP_AXIS].
2573                  font, 5.5, im->tabwidth, 0,
2574                  GFX_H_CENTER, GFX_V_BOTTOM, im->watermark);
2575     }
2577     /* graph labels */
2578     if (!(im->extra_flags & NOLEGEND) & !(im->extra_flags & ONLY_GRAPH)) {
2579         for (i = 0; i < im->gdes_c; i++) {
2580             if (im->gdes[i].legend[0] == '\0')
2581                 continue;
2582             /* im->gdes[i].leg_y is the bottom of the legend */
2583             X0 = im->gdes[i].leg_x;
2584             Y0 = im->gdes[i].leg_y;
2585             gfx_text(im, X0, Y0,
2586                      im->graph_col[GRC_FONT],
2587                      im->
2588                      text_prop
2589                      [TEXT_PROP_LEGEND].font,
2590                      im->
2591                      text_prop
2592                      [TEXT_PROP_LEGEND].size,
2593                      im->tabwidth, 0.0,
2594                      GFX_H_LEFT, GFX_V_BOTTOM, im->gdes[i].legend);
2595             /* The legend for GRAPH items starts with "M " to have
2596                enough space for the box */
2597             if (im->gdes[i].gf != GF_PRINT &&
2598                 im->gdes[i].gf != GF_GPRINT && im->gdes[i].gf != GF_COMMENT) {
2599                 double    boxH, boxV;
2600                 double    X1, Y1;
2602                 boxH = gfx_get_text_width(im, 0,
2603                                           im->
2604                                           text_prop
2605                                           [TEXT_PROP_LEGEND].
2606                                           font,
2607                                           im->
2608                                           text_prop
2609                                           [TEXT_PROP_LEGEND].
2610                                           size, im->tabwidth, "o") * 1.2;
2611                 boxV = boxH;
2612                 /* shift the box up a bit */
2613                 Y0 -= boxV * 0.4;
2614                 /* make sure transparent colors show up the same way as in the graph */
2615                 gfx_new_area(im,
2616                              X0, Y0 - boxV,
2617                              X0, Y0, X0 + boxH, Y0, im->graph_col[GRC_BACK]);
2618                 gfx_add_point(im, X0 + boxH, Y0 - boxV);
2619                 gfx_close_path(im);
2620                 gfx_new_area(im, X0, Y0 - boxV, X0,
2621                              Y0, X0 + boxH, Y0, im->gdes[i].col);
2622                 gfx_add_point(im, X0 + boxH, Y0 - boxV);
2623                 gfx_close_path(im);
2624                 cairo_save(im->cr);
2625                 cairo_new_path(im->cr);
2626                 cairo_set_line_width(im->cr, 1.0);
2627                 X1 = X0 + boxH;
2628                 Y1 = Y0 - boxV;
2629                 gfx_line_fit(im, &X0, &Y0);
2630                 gfx_line_fit(im, &X1, &Y1);
2631                 cairo_move_to(im->cr, X0, Y0);
2632                 cairo_line_to(im->cr, X1, Y0);
2633                 cairo_line_to(im->cr, X1, Y1);
2634                 cairo_line_to(im->cr, X0, Y1);
2635                 cairo_close_path(im->cr);
2636                 cairo_set_source_rgba(im->cr,
2637                                       im->
2638                                       graph_col
2639                                       [GRC_FRAME].
2640                                       red,
2641                                       im->
2642                                       graph_col
2643                                       [GRC_FRAME].
2644                                       green,
2645                                       im->
2646                                       graph_col
2647                                       [GRC_FRAME].
2648                                       blue, im->graph_col[GRC_FRAME].alpha);
2649                 if (im->gdes[i].dash) {
2650                     /* make box borders in legend dashed if the graph is dashed */
2651                     double    dashes[] = {
2652                         3.0
2653                     };
2654                     cairo_set_dash(im->cr, dashes, 1, 0.0);
2655                 }
2656                 cairo_stroke(im->cr);
2657                 cairo_restore(im->cr);
2658             }
2659         }
2660     }
2664 /*****************************************************
2665  * lazy check make sure we rely need to create this graph
2666  *****************************************************/
2668 int lazy_check(
2669     image_desc_t *im)
2671     FILE     *fd = NULL;
2672     int       size = 1;
2673     struct stat imgstat;
2675     if (im->lazy == 0)
2676         return 0;       /* no lazy option */
2677     if (strlen(im->graphfile) == 0)
2678         return 0;       /* inmemory option */
2679     if (stat(im->graphfile, &imgstat) != 0)
2680         return 0;       /* can't stat */
2681     /* one pixel in the existing graph is more then what we would
2682        change here ... */
2683     if (time(NULL) - imgstat.st_mtime > (im->end - im->start) / im->xsize)
2684         return 0;
2685     if ((fd = fopen(im->graphfile, "rb")) == NULL)
2686         return 0;       /* the file does not exist */
2687     switch (im->imgformat) {
2688     case IF_PNG:
2689         size = PngSize(fd, &(im->ximg), &(im->yimg));
2690         break;
2691     default:
2692         size = 1;
2693     }
2694     fclose(fd);
2695     return size;
2699 int graph_size_location(
2700     image_desc_t
2701     *im,
2702     int elements)
2704     /* The actual size of the image to draw is determined from
2705      ** several sources.  The size given on the command line is
2706      ** the graph area but we need more as we have to draw labels
2707      ** and other things outside the graph area
2708      */
2710     int       Xvertical = 0, Ytitle =
2711         0, Xylabel = 0, Xmain = 0, Ymain =
2712         0, Yxlabel = 0, Xspacing = 15, Yspacing = 15, Ywatermark = 4;
2714     if (im->extra_flags & ONLY_GRAPH) {
2715         im->xorigin = 0;
2716         im->ximg = im->xsize;
2717         im->yimg = im->ysize;
2718         im->yorigin = im->ysize;
2719         ytr(im, DNAN);
2720         return 0;
2721     }
2723     /** +---+--------------------------------------------+
2724      ** | y |...............graph title..................|
2725      ** |   +---+-------------------------------+--------+
2726      ** | a | y |                               |        |
2727      ** | x |   |                               |        |
2728      ** | i | a |                               |  pie   |
2729      ** | s | x |       main graph area         | chart  |
2730      ** |   | i |                               |  area  |
2731      ** | t | s |                               |        |
2732      ** | i |   |                               |        |
2733      ** | t | l |                               |        |
2734      ** | l | b +-------------------------------+--------+
2735      ** | e | l |       x axis labels           |        |
2736      ** +---+---+-------------------------------+--------+
2737      ** |....................legends.....................|
2738      ** +------------------------------------------------+
2739      ** |                   watermark                    |
2740      ** +------------------------------------------------+
2741      */
2743     if (im->ylegend[0] != '\0') {
2744         Xvertical = im->text_prop[TEXT_PROP_UNIT].size * 2;
2745     }
2747     if (im->title[0] != '\0') {
2748         /* The title is placed "inbetween" two text lines so it
2749          ** automatically has some vertical spacing.  The horizontal
2750          ** spacing is added here, on each side.
2751          */
2752         /* if necessary, reduce the font size of the title until it fits the image width */
2753         Ytitle = im->text_prop[TEXT_PROP_TITLE].size * 2.6 + 10;
2754     }
2756     if (elements) {
2757         if (im->draw_x_grid) {
2758             Yxlabel = im->text_prop[TEXT_PROP_AXIS].size * 2.5;
2759         }
2760         if (im->draw_y_grid || im->forceleftspace) {
2761             Xylabel =
2762                 gfx_get_text_width(im, 0,
2763                                    im->
2764                                    text_prop
2765                                    [TEXT_PROP_AXIS].
2766                                    font,
2767                                    im->
2768                                    text_prop
2769                                    [TEXT_PROP_AXIS].
2770                                    size, im->tabwidth, "0") * im->unitslength;
2771         }
2772     }
2774     if (im->extra_flags & FULL_SIZE_MODE) {
2775         /* The actual size of the image to draw has been determined by the user.
2776          ** The graph area is the space remaining after accounting for the legend,
2777          ** the watermark, the pie chart, the axis labels, and the title.
2778          */
2779         im->xorigin = 0;
2780         im->ximg = im->xsize;
2781         im->yimg = im->ysize;
2782         im->yorigin = im->ysize;
2783         Xmain = im->ximg;
2784         Ymain = im->yimg;
2785         im->yorigin += Ytitle;
2786         /* Now calculate the total size.  Insert some spacing where
2787            desired.  im->xorigin and im->yorigin need to correspond
2788            with the lower left corner of the main graph area or, if
2789            this one is not set, the imaginary box surrounding the
2790            pie chart area. */
2791         /* Initial size calculation for the main graph area */
2792         Xmain = im->ximg - (Xylabel + 2 * Xspacing);
2793         if (Xmain)
2794             Xmain -= Xspacing;  /* put space between main graph area and right edge */
2795         im->xorigin = Xspacing + Xylabel;
2796         /* the length of the title should not influence with width of the graph
2797            if (Xtitle > im->ximg) im->ximg = Xtitle; */
2798         if (Xvertical) {    /* unit description */
2799             Xmain -= Xvertical;
2800             im->xorigin += Xvertical;
2801         }
2802         im->xsize = Xmain;
2803         xtr(im, 0);
2804         /* The vertical size of the image is known in advance.  The main graph area
2805          ** (Ymain) and im->yorigin must be set according to the space requirements
2806          ** of the legend and the axis labels.
2807          */
2808         if (im->extra_flags & NOLEGEND) {
2809             /* set dimensions correctly if using full size mode with no legend */
2810             im->yorigin =
2811                 im->yimg -
2812                 im->text_prop[TEXT_PROP_AXIS].size * 2.5 - Yspacing;
2813             Ymain = im->yorigin;
2814         } else {
2815             /* Determine where to place the legends onto the image.
2816              ** Set Ymain and adjust im->yorigin to match the space requirements.
2817              */
2818             if (leg_place(im, &Ymain) == -1)
2819                 return -1;
2820         }
2823         /* remove title space *or* some padding above the graph from the main graph area */
2824         if (Ytitle) {
2825             Ymain -= Ytitle;
2826         } else {
2827             Ymain -= 1.5 * Yspacing;
2828         }
2830         /* watermark doesn't seem to effect the vertical size of the main graph area, oh well! */
2831         if (im->watermark[0] != '\0') {
2832             Ymain -= Ywatermark;
2833         }
2835         im->ysize = Ymain;
2836     } else {            /* dimension options -width and -height refer to the dimensions of the main graph area */
2838         /* The actual size of the image to draw is determined from
2839          ** several sources.  The size given on the command line is
2840          ** the graph area but we need more as we have to draw labels
2841          ** and other things outside the graph area.
2842          */
2844         if (im->ylegend[0] != '\0') {
2845             Xvertical = im->text_prop[TEXT_PROP_UNIT].size * 2;
2846         }
2849         if (im->title[0] != '\0') {
2850             /* The title is placed "inbetween" two text lines so it
2851              ** automatically has some vertical spacing.  The horizontal
2852              ** spacing is added here, on each side.
2853              */
2854             /* don't care for the with of the title
2855                Xtitle = gfx_get_text_width(im->canvas, 0,
2856                im->text_prop[TEXT_PROP_TITLE].font,
2857                im->text_prop[TEXT_PROP_TITLE].size,
2858                im->tabwidth,
2859                im->title, 0) + 2*Xspacing; */
2860             Ytitle = im->text_prop[TEXT_PROP_TITLE].size * 2.6 + 10;
2861         }
2863         if (elements) {
2864             Xmain = im->xsize;
2865             Ymain = im->ysize;
2866         }
2867         /* Now calculate the total size.  Insert some spacing where
2868            desired.  im->xorigin and im->yorigin need to correspond
2869            with the lower left corner of the main graph area or, if
2870            this one is not set, the imaginary box surrounding the
2871            pie chart area. */
2873         /* The legend width cannot yet be determined, as a result we
2874          ** have problems adjusting the image to it.  For now, we just
2875          ** forget about it at all; the legend will have to fit in the
2876          ** size already allocated.
2877          */
2878         im->ximg = Xylabel + Xmain + 2 * Xspacing;
2879         if (Xmain)
2880             im->ximg += Xspacing;
2881         im->xorigin = Xspacing + Xylabel;
2882         /* the length of the title should not influence with width of the graph
2883            if (Xtitle > im->ximg) im->ximg = Xtitle; */
2884         if (Xvertical) {    /* unit description */
2885             im->ximg += Xvertical;
2886             im->xorigin += Xvertical;
2887         }
2888         xtr(im, 0);
2889         /* The vertical size is interesting... we need to compare
2890          ** the sum of {Ytitle, Ymain, Yxlabel, Ylegend, Ywatermark} with 
2891          ** Yvertical however we need to know {Ytitle+Ymain+Yxlabel}
2892          ** in order to start even thinking about Ylegend or Ywatermark.
2893          **
2894          ** Do it in three portions: First calculate the inner part,
2895          ** then do the legend, then adjust the total height of the img,
2896          ** adding space for a watermark if one exists;
2897          */
2898         /* reserve space for main and/or pie */
2899         im->yimg = Ymain + Yxlabel;
2900         im->yorigin = im->yimg - Yxlabel;
2901         /* reserve space for the title *or* some padding above the graph */
2902         if (Ytitle) {
2903             im->yimg += Ytitle;
2904             im->yorigin += Ytitle;
2905         } else {
2906             im->yimg += 1.5 * Yspacing;
2907             im->yorigin += 1.5 * Yspacing;
2908         }
2909         /* reserve space for padding below the graph */
2910         im->yimg += Yspacing;
2911         /* Determine where to place the legends onto the image.
2912          ** Adjust im->yimg to match the space requirements.
2913          */
2914         if (leg_place(im, 0) == -1)
2915             return -1;
2916         if (im->watermark[0] != '\0') {
2917             im->yimg += Ywatermark;
2918         }
2919     }
2921     ytr(im, DNAN);
2922     return 0;
2925 static cairo_status_t cairo_output(
2926     void *closure,
2927     const unsigned char
2928     *data,
2929     unsigned int length)
2931     image_desc_t *im = closure;
2933     im->rendered_image =
2934         realloc(im->rendered_image, im->rendered_image_size + length);
2935     if (im->rendered_image == NULL)
2936         return CAIRO_STATUS_WRITE_ERROR;
2937     memcpy(im->rendered_image + im->rendered_image_size, data, length);
2938     im->rendered_image_size += length;
2939     return CAIRO_STATUS_SUCCESS;
2942 /* draw that picture thing ... */
2943 int graph_paint(
2944     image_desc_t *im)
2946     int       i, ii;
2947     int       lazy = lazy_check(im);
2948     double    areazero = 0.0;
2949     graph_desc_t *lastgdes = NULL;
2950     rrd_infoval_t info;
2951     PangoFontMap *font_map = pango_cairo_font_map_get_default();
2953     /* if we are lazy and there is nothing to PRINT ... quit now */
2954     if (lazy && im->prt_c == 0)
2955         return 0;
2956     /* pull the data from the rrd files ... */
2957     if (data_fetch(im) == -1)
2958         return -1;
2959     /* evaluate VDEF and CDEF operations ... */
2960     if (data_calc(im) == -1)
2961         return -1;
2962     /* calculate and PRINT and GPRINT definitions. We have to do it at
2963      * this point because it will affect the length of the legends
2964      * if there are no graph elements we stop here ... 
2965      * if we are lazy, try to quit ... 
2966      */
2967     i = print_calc(im);
2968     if (i < 0)
2969         return -1;
2970     if ((i == 0) || lazy)
2971         return 0;
2972 /**************************************************************
2973  *** Calculating sizes and locations became a bit confusing ***
2974  *** so I moved this into a separate function.              ***
2975  **************************************************************/
2976     if (graph_size_location(im, i) == -1)
2977         return -1;
2979     info.u_cnt = im->xorigin;
2980     grinfo_push(im, sprintf_alloc("graph_left"), RD_I_CNT, info);
2981     info.u_cnt = im->yorigin - im->ysize;
2982     grinfo_push(im, sprintf_alloc("graph_top"), RD_I_CNT, info);
2983     info.u_cnt = im->xsize;
2984     grinfo_push(im, sprintf_alloc("graph_width"), RD_I_CNT, info);
2985     info.u_cnt = im->ysize;
2986     grinfo_push(im, sprintf_alloc("graph_height"), RD_I_CNT, info);
2987     info.u_cnt = im->ximg;
2988     grinfo_push(im, sprintf_alloc("image_width"), RD_I_CNT, info);
2989     info.u_cnt = im->yimg;
2990     grinfo_push(im, sprintf_alloc("image_height"), RD_I_CNT, info);
2992     /* get actual drawing data and find min and max values */
2993     if (data_proc(im) == -1)
2994         return -1;
2995     if (!im->logarithmic) {
2996         si_unit(im);
2997     }
2999     /* identify si magnitude Kilo, Mega Giga ? */
3000     if (!im->rigid && !im->logarithmic)
3001         expand_range(im);   /* make sure the upper and lower limit are
3002                                sensible values */
3004     info.u_val = im->minval;
3005     grinfo_push(im, sprintf_alloc("value_min"), RD_I_VAL, info);
3006     info.u_val = im->maxval;
3007     grinfo_push(im, sprintf_alloc("value_max"), RD_I_VAL, info);
3009     if (!calc_horizontal_grid(im))
3010         return -1;
3011     /* reset precalc */
3012     ytr(im, DNAN);
3013 /*   if (im->gridfit)
3014      apply_gridfit(im); */
3015     /* the actual graph is created by going through the individual
3016        graph elements and then drawing them */
3017     cairo_surface_destroy(im->surface);
3018     switch (im->imgformat) {
3019     case IF_PNG:
3020         im->surface =
3021             cairo_image_surface_create(CAIRO_FORMAT_ARGB32,
3022                                        im->ximg * im->zoom,
3023                                        im->yimg * im->zoom);
3024         break;
3025     case IF_PDF:
3026         im->gridfit = 0;
3027         im->surface = strlen(im->graphfile)
3028             ? cairo_pdf_surface_create(im->graphfile, im->ximg * im->zoom,
3029                                        im->yimg * im->zoom)
3030             : cairo_pdf_surface_create_for_stream
3031             (&cairo_output, im, im->ximg * im->zoom, im->yimg * im->zoom);
3032         break;
3033     case IF_EPS:
3034         im->gridfit = 0;
3035         im->surface = strlen(im->graphfile)
3036             ?
3037             cairo_ps_surface_create(im->graphfile, im->ximg * im->zoom,
3038                                     im->yimg * im->zoom)
3039             : cairo_ps_surface_create_for_stream
3040             (&cairo_output, im, im->ximg * im->zoom, im->yimg * im->zoom);
3041         break;
3042     case IF_SVG:
3043         im->gridfit = 0;
3044         im->surface = strlen(im->graphfile)
3045             ?
3046             cairo_svg_surface_create(im->
3047                                      graphfile,
3048                                      im->ximg * im->zoom, im->yimg * im->zoom)
3049             : cairo_svg_surface_create_for_stream
3050             (&cairo_output, im, im->ximg * im->zoom, im->yimg * im->zoom);
3051         cairo_svg_surface_restrict_to_version
3052             (im->surface, CAIRO_SVG_VERSION_1_1);
3053         break;
3054     };
3055     im->cr = cairo_create(im->surface);
3056     cairo_set_antialias(im->cr, im->graph_antialias);
3057     cairo_scale(im->cr, im->zoom, im->zoom);
3058     pango_cairo_font_map_set_resolution(PANGO_CAIRO_FONT_MAP(font_map), 100);
3059     gfx_new_area(im, 0, 0, 0, im->yimg,
3060                  im->ximg, im->yimg, im->graph_col[GRC_BACK]);
3061     gfx_add_point(im, im->ximg, 0);
3062     gfx_close_path(im);
3063     gfx_new_area(im, im->xorigin,
3064                  im->yorigin,
3065                  im->xorigin +
3066                  im->xsize, im->yorigin,
3067                  im->xorigin +
3068                  im->xsize,
3069                  im->yorigin - im->ysize, im->graph_col[GRC_CANVAS]);
3070     gfx_add_point(im, im->xorigin, im->yorigin - im->ysize);
3071     gfx_close_path(im);
3072     cairo_rectangle(im->cr, im->xorigin, im->yorigin - im->ysize - 1.0,
3073                     im->xsize, im->ysize + 2.0);
3074     cairo_clip(im->cr);
3075     if (im->minval > 0.0)
3076         areazero = im->minval;
3077     if (im->maxval < 0.0)
3078         areazero = im->maxval;
3079     for (i = 0; i < im->gdes_c; i++) {
3080         switch (im->gdes[i].gf) {
3081         case GF_CDEF:
3082         case GF_VDEF:
3083         case GF_DEF:
3084         case GF_PRINT:
3085         case GF_GPRINT:
3086         case GF_COMMENT:
3087         case GF_TEXTALIGN:
3088         case GF_HRULE:
3089         case GF_VRULE:
3090         case GF_XPORT:
3091         case GF_SHIFT:
3092             break;
3093         case GF_TICK:
3094             for (ii = 0; ii < im->xsize; ii++) {
3095                 if (!isnan(im->gdes[i].p_data[ii])
3096                     && im->gdes[i].p_data[ii] != 0.0) {
3097                     if (im->gdes[i].yrule > 0) {
3098                         gfx_line(im,
3099                                  im->xorigin + ii,
3100                                  im->yorigin,
3101                                  im->xorigin + ii,
3102                                  im->yorigin -
3103                                  im->gdes[i].yrule *
3104                                  im->ysize, 1.0, im->gdes[i].col);
3105                     } else if (im->gdes[i].yrule < 0) {
3106                         gfx_line(im,
3107                                  im->xorigin + ii,
3108                                  im->yorigin - im->ysize,
3109                                  im->xorigin + ii,
3110                                  im->yorigin - (1 -
3111                                                 im->gdes[i].
3112                                                 yrule) *
3113                                  im->ysize, 1.0, im->gdes[i].col);
3114                     }
3115                 }
3116             }
3117             break;
3118         case GF_LINE:
3119         case GF_AREA:
3120             /* fix data points at oo and -oo */
3121             for (ii = 0; ii < im->xsize; ii++) {
3122                 if (isinf(im->gdes[i].p_data[ii])) {
3123                     if (im->gdes[i].p_data[ii] > 0) {
3124                         im->gdes[i].p_data[ii] = im->maxval;
3125                     } else {
3126                         im->gdes[i].p_data[ii] = im->minval;
3127                     }
3129                 }
3130             }           /* for */
3132             /* *******************************************************
3133                a           ___. (a,t) 
3134                |   |    ___
3135                ____|   |   |   |
3136                |       |___|
3137                -------|--t-1--t--------------------------------      
3139                if we know the value at time t was a then 
3140                we draw a square from t-1 to t with the value a.
3142                ********************************************************* */
3143             if (im->gdes[i].col.alpha != 0.0) {
3144                 /* GF_LINE and friend */
3145                 if (im->gdes[i].gf == GF_LINE) {
3146                     double    last_y = 0.0;
3147                     int       draw_on = 0;
3149                     cairo_save(im->cr);
3150                     cairo_new_path(im->cr);
3151                     cairo_set_line_width(im->cr, im->gdes[i].linewidth);
3152                     if (im->gdes[i].dash) {
3153                         cairo_set_dash(im->cr,
3154                                        im->gdes[i].p_dashes,
3155                                        im->gdes[i].ndash, im->gdes[i].offset);
3156                     }
3158                     for (ii = 1; ii < im->xsize; ii++) {
3159                         if (isnan(im->gdes[i].p_data[ii])
3160                             || (im->slopemode == 1
3161                                 && isnan(im->gdes[i].p_data[ii - 1]))) {
3162                             draw_on = 0;
3163                             continue;
3164                         }
3165                         if (draw_on == 0) {
3166                             last_y = ytr(im, im->gdes[i].p_data[ii]);
3167                             if (im->slopemode == 0) {
3168                                 double    x = ii - 1 + im->xorigin;
3169                                 double    y = last_y;
3171                                 gfx_line_fit(im, &x, &y);
3172                                 cairo_move_to(im->cr, x, y);
3173                                 x = ii + im->xorigin;
3174                                 y = last_y;
3175                                 gfx_line_fit(im, &x, &y);
3176                                 cairo_line_to(im->cr, x, y);
3177                             } else {
3178                                 double    x = ii - 1 + im->xorigin;
3179                                 double    y =
3180                                     ytr(im, im->gdes[i].p_data[ii - 1]);
3181                                 gfx_line_fit(im, &x, &y);
3182                                 cairo_move_to(im->cr, x, y);
3183                                 x = ii + im->xorigin;
3184                                 y = last_y;
3185                                 gfx_line_fit(im, &x, &y);
3186                                 cairo_line_to(im->cr, x, y);
3187                             }
3188                             draw_on = 1;
3189                         } else {
3190                             double    x1 = ii + im->xorigin;
3191                             double    y1 = ytr(im, im->gdes[i].p_data[ii]);
3193                             if (im->slopemode == 0
3194                                 && !AlmostEqual2sComplement(y1, last_y, 4)) {
3195                                 double    x = ii - 1 + im->xorigin;
3196                                 double    y = y1;
3198                                 gfx_line_fit(im, &x, &y);
3199                                 cairo_line_to(im->cr, x, y);
3200                             };
3201                             last_y = y1;
3202                             gfx_line_fit(im, &x1, &y1);
3203                             cairo_line_to(im->cr, x1, y1);
3204                         };
3205                     }
3206                     cairo_set_source_rgba(im->cr,
3207                                           im->gdes[i].
3208                                           col.red,
3209                                           im->gdes[i].
3210                                           col.green,
3211                                           im->gdes[i].
3212                                           col.blue, im->gdes[i].col.alpha);
3213                     cairo_set_line_cap(im->cr, CAIRO_LINE_CAP_ROUND);
3214                     cairo_set_line_join(im->cr, CAIRO_LINE_JOIN_ROUND);
3215                     cairo_stroke(im->cr);
3216                     cairo_restore(im->cr);
3217                 } else {
3218                     int       idxI = -1;
3219                     double   *foreY =
3220                         (double *) malloc(sizeof(double) * im->xsize * 2);
3221                     double   *foreX =
3222                         (double *) malloc(sizeof(double) * im->xsize * 2);
3223                     double   *backY =
3224                         (double *) malloc(sizeof(double) * im->xsize * 2);
3225                     double   *backX =
3226                         (double *) malloc(sizeof(double) * im->xsize * 2);
3227                     int       drawem = 0;
3229                     for (ii = 0; ii <= im->xsize; ii++) {
3230                         double    ybase, ytop;
3232                         if (idxI > 0 && (drawem != 0 || ii == im->xsize)) {
3233                             int       cntI = 1;
3234                             int       lastI = 0;
3236                             while (cntI < idxI
3237                                    &&
3238                                    AlmostEqual2sComplement(foreY
3239                                                            [lastI],
3240                                                            foreY[cntI], 4)
3241                                    &&
3242                                    AlmostEqual2sComplement(foreY
3243                                                            [lastI],
3244                                                            foreY
3245                                                            [cntI + 1], 4)) {
3246                                 cntI++;
3247                             }
3248                             gfx_new_area(im,
3249                                          backX[0], backY[0],
3250                                          foreX[0], foreY[0],
3251                                          foreX[cntI],
3252                                          foreY[cntI], im->gdes[i].col);
3253                             while (cntI < idxI) {
3254                                 lastI = cntI;
3255                                 cntI++;
3256                                 while (cntI < idxI
3257                                        &&
3258                                        AlmostEqual2sComplement(foreY
3259                                                                [lastI],
3260                                                                foreY[cntI], 4)
3261                                        &&
3262                                        AlmostEqual2sComplement(foreY
3263                                                                [lastI],
3264                                                                foreY
3265                                                                [cntI
3266                                                                 + 1], 4)) {
3267                                     cntI++;
3268                                 }
3269                                 gfx_add_point(im, foreX[cntI], foreY[cntI]);
3270                             }
3271                             gfx_add_point(im, backX[idxI], backY[idxI]);
3272                             while (idxI > 1) {
3273                                 lastI = idxI;
3274                                 idxI--;
3275                                 while (idxI > 1
3276                                        &&
3277                                        AlmostEqual2sComplement(backY
3278                                                                [lastI],
3279                                                                backY[idxI], 4)
3280                                        &&
3281                                        AlmostEqual2sComplement(backY
3282                                                                [lastI],
3283                                                                backY
3284                                                                [idxI
3285                                                                 - 1], 4)) {
3286                                     idxI--;
3287                                 }
3288                                 gfx_add_point(im, backX[idxI], backY[idxI]);
3289                             }
3290                             idxI = -1;
3291                             drawem = 0;
3292                             gfx_close_path(im);
3293                         }
3294                         if (drawem != 0) {
3295                             drawem = 0;
3296                             idxI = -1;
3297                         }
3298                         if (ii == im->xsize)
3299                             break;
3300                         if (im->slopemode == 0 && ii == 0) {
3301                             continue;
3302                         }
3303                         if (isnan(im->gdes[i].p_data[ii])) {
3304                             drawem = 1;
3305                             continue;
3306                         }
3307                         ytop = ytr(im, im->gdes[i].p_data[ii]);
3308                         if (lastgdes && im->gdes[i].stack) {
3309                             ybase = ytr(im, lastgdes->p_data[ii]);
3310                         } else {
3311                             ybase = ytr(im, areazero);
3312                         }
3313                         if (ybase == ytop) {
3314                             drawem = 1;
3315                             continue;
3316                         }
3318                         if (ybase > ytop) {
3319                             double    extra = ytop;
3321                             ytop = ybase;
3322                             ybase = extra;
3323                         }
3324                         if (im->slopemode == 0) {
3325                             backY[++idxI] = ybase - 0.2;
3326                             backX[idxI] = ii + im->xorigin - 1;
3327                             foreY[idxI] = ytop + 0.2;
3328                             foreX[idxI] = ii + im->xorigin - 1;
3329                         }
3330                         backY[++idxI] = ybase - 0.2;
3331                         backX[idxI] = ii + im->xorigin;
3332                         foreY[idxI] = ytop + 0.2;
3333                         foreX[idxI] = ii + im->xorigin;
3334                     }
3335                     /* close up any remaining area */
3336                     free(foreY);
3337                     free(foreX);
3338                     free(backY);
3339                     free(backX);
3340                 }       /* else GF_LINE */
3341             }
3342             /* if color != 0x0 */
3343             /* make sure we do not run into trouble when stacking on NaN */
3344             for (ii = 0; ii < im->xsize; ii++) {
3345                 if (isnan(im->gdes[i].p_data[ii])) {
3346                     if (lastgdes && (im->gdes[i].stack)) {
3347                         im->gdes[i].p_data[ii] = lastgdes->p_data[ii];
3348                     } else {
3349                         im->gdes[i].p_data[ii] = areazero;
3350                     }
3351                 }
3352             }
3353             lastgdes = &(im->gdes[i]);
3354             break;
3355         case GF_STACK:
3356             rrd_set_error
3357                 ("STACK should already be turned into LINE or AREA here");
3358             return -1;
3359             break;
3360         }               /* switch */
3361     }
3362     cairo_reset_clip(im->cr);
3364     /* grid_paint also does the text */
3365     if (!(im->extra_flags & ONLY_GRAPH))
3366         grid_paint(im);
3367     if (!(im->extra_flags & ONLY_GRAPH))
3368         axis_paint(im);
3369     /* the RULES are the last thing to paint ... */
3370     for (i = 0; i < im->gdes_c; i++) {
3372         switch (im->gdes[i].gf) {
3373         case GF_HRULE:
3374             if (im->gdes[i].yrule >= im->minval
3375                 && im->gdes[i].yrule <= im->maxval) {
3376                 cairo_save(im->cr);
3377                 if (im->gdes[i].dash) {
3378                     cairo_set_dash(im->cr,
3379                                    im->gdes[i].p_dashes,
3380                                    im->gdes[i].ndash, im->gdes[i].offset);
3381                 }
3382                 gfx_line(im, im->xorigin,
3383                          ytr(im, im->gdes[i].yrule),
3384                          im->xorigin + im->xsize,
3385                          ytr(im, im->gdes[i].yrule), 1.0, im->gdes[i].col);
3386                 cairo_stroke(im->cr);
3387                 cairo_restore(im->cr);
3388             }
3389             break;
3390         case GF_VRULE:
3391             if (im->gdes[i].xrule >= im->start
3392                 && im->gdes[i].xrule <= im->end) {
3393                 cairo_save(im->cr);
3394                 if (im->gdes[i].dash) {
3395                     cairo_set_dash(im->cr,
3396                                    im->gdes[i].p_dashes,
3397                                    im->gdes[i].ndash, im->gdes[i].offset);
3398                 }
3399                 gfx_line(im,
3400                          xtr(im, im->gdes[i].xrule),
3401                          im->yorigin, xtr(im,
3402                                           im->
3403                                           gdes[i].
3404                                           xrule),
3405                          im->yorigin - im->ysize, 1.0, im->gdes[i].col);
3406                 cairo_stroke(im->cr);
3407                 cairo_restore(im->cr);
3408             }
3409             break;
3410         default:
3411             break;
3412         }
3413     }
3416     switch (im->imgformat) {
3417     case IF_PNG:
3418     {
3419         cairo_status_t status;
3421         status = strlen(im->graphfile) ?
3422             cairo_surface_write_to_png(im->surface, im->graphfile)
3423             : cairo_surface_write_to_png_stream(im->surface, &cairo_output,
3424                                                 im);
3426         if (status != CAIRO_STATUS_SUCCESS) {
3427             rrd_set_error("Could not save png to '%s'", im->graphfile);
3428             return 1;
3429         }
3430         break;
3431     }
3432     default:
3433         if (strlen(im->graphfile)) {
3434             cairo_show_page(im->cr);
3435         } else {
3436             cairo_surface_finish(im->surface);
3437         }
3438         break;
3439     }
3441     return 0;
3445 /*****************************************************
3446  * graph stuff 
3447  *****************************************************/
3449 int gdes_alloc(
3450     image_desc_t *im)
3453     im->gdes_c++;
3454     if ((im->gdes = (graph_desc_t *)
3455          rrd_realloc(im->gdes, (im->gdes_c)
3456                      * sizeof(graph_desc_t))) == NULL) {
3457         rrd_set_error("realloc graph_descs");
3458         return -1;
3459     }
3462     im->gdes[im->gdes_c - 1].step = im->step;
3463     im->gdes[im->gdes_c - 1].step_orig = im->step;
3464     im->gdes[im->gdes_c - 1].stack = 0;
3465     im->gdes[im->gdes_c - 1].linewidth = 0;
3466     im->gdes[im->gdes_c - 1].debug = 0;
3467     im->gdes[im->gdes_c - 1].start = im->start;
3468     im->gdes[im->gdes_c - 1].start_orig = im->start;
3469     im->gdes[im->gdes_c - 1].end = im->end;
3470     im->gdes[im->gdes_c - 1].end_orig = im->end;
3471     im->gdes[im->gdes_c - 1].vname[0] = '\0';
3472     im->gdes[im->gdes_c - 1].data = NULL;
3473     im->gdes[im->gdes_c - 1].ds_namv = NULL;
3474     im->gdes[im->gdes_c - 1].data_first = 0;
3475     im->gdes[im->gdes_c - 1].p_data = NULL;
3476     im->gdes[im->gdes_c - 1].rpnp = NULL;
3477     im->gdes[im->gdes_c - 1].p_dashes = NULL;
3478     im->gdes[im->gdes_c - 1].shift = 0.0;
3479     im->gdes[im->gdes_c - 1].dash = 0;
3480     im->gdes[im->gdes_c - 1].ndash = 0;
3481     im->gdes[im->gdes_c - 1].offset = 0;
3482     im->gdes[im->gdes_c - 1].col.red = 0.0;
3483     im->gdes[im->gdes_c - 1].col.green = 0.0;
3484     im->gdes[im->gdes_c - 1].col.blue = 0.0;
3485     im->gdes[im->gdes_c - 1].col.alpha = 0.0;
3486     im->gdes[im->gdes_c - 1].legend[0] = '\0';
3487     im->gdes[im->gdes_c - 1].format[0] = '\0';
3488     im->gdes[im->gdes_c - 1].strftm = 0;
3489     im->gdes[im->gdes_c - 1].rrd[0] = '\0';
3490     im->gdes[im->gdes_c - 1].ds = -1;
3491     im->gdes[im->gdes_c - 1].cf_reduce = CF_AVERAGE;
3492     im->gdes[im->gdes_c - 1].cf = CF_AVERAGE;
3493     im->gdes[im->gdes_c - 1].yrule = DNAN;
3494     im->gdes[im->gdes_c - 1].xrule = 0;
3495     return 0;
3498 /* copies input untill the first unescaped colon is found
3499    or until input ends. backslashes have to be escaped as well */
3500 int scan_for_col(
3501     const char *const input,
3502     int len,
3503     char *const output)
3505     int       inp, outp = 0;
3507     for (inp = 0; inp < len && input[inp] != ':' && input[inp] != '\0'; inp++) {
3508         if (input[inp] == '\\'
3509             && input[inp + 1] != '\0'
3510             && (input[inp + 1] == '\\' || input[inp + 1] == ':')) {
3511             output[outp++] = input[++inp];
3512         } else {
3513             output[outp++] = input[inp];
3514         }
3515     }
3516     output[outp] = '\0';
3517     return inp;
3520 /* Now just a wrapper around rrd_graph_v */
3521 int rrd_graph(
3522     int argc,
3523     char **argv,
3524     char ***prdata,
3525     int *xsize,
3526     int *ysize,
3527     FILE * stream,
3528     double *ymin,
3529     double *ymax)
3531     int       prlines = 0;
3532     rrd_info_t *grinfo = NULL;
3533     rrd_info_t *walker;
3535     grinfo = rrd_graph_v(argc, argv);
3536     if (grinfo == NULL)
3537         return -1;
3538     walker = grinfo;
3539     (*prdata) = NULL;
3540     while (walker) {
3541         if (strcmp(walker->key, "image_info") == 0) {
3542             prlines++;
3543             if (((*prdata) =
3544                  rrd_realloc((*prdata),
3545                              (prlines + 1) * sizeof(char *))) == NULL) {
3546                 rrd_set_error("realloc prdata");
3547                 return 0;
3548             }
3549             /* imginfo goes to position 0 in the prdata array */
3550             (*prdata)[prlines - 1] = malloc((strlen(walker->value.u_str)
3551                                              + 2) * sizeof(char));
3552             strcpy((*prdata)[prlines - 1], walker->value.u_str);
3553             (*prdata)[prlines] = NULL;
3554         }
3555         /* skip anything else */
3556         walker = walker->next;
3557     }
3558     walker = grinfo;
3559     while (walker) {
3560         if (strcmp(walker->key, "image_width") == 0) {
3561             *xsize = walker->value.u_int;
3562         } else if (strcmp(walker->key, "image_height") == 0) {
3563             *ysize = walker->value.u_int;
3564         } else if (strcmp(walker->key, "value_min") == 0) {
3565             *ymin = walker->value.u_val;
3566         } else if (strcmp(walker->key, "value_max") == 0) {
3567             *ymax = walker->value.u_val;
3568         } else if (strncmp(walker->key, "print", 5) == 0) { /* keys are prdate[0..] */
3569             prlines++;
3570             if (((*prdata) =
3571                  rrd_realloc((*prdata),
3572                              (prlines + 1) * sizeof(char *))) == NULL) {
3573                 rrd_set_error("realloc prdata");
3574                 return 0;
3575             }
3576             (*prdata)[prlines - 1] = malloc((strlen(walker->value.u_str)
3577                                              + 2) * sizeof(char));
3578             (*prdata)[prlines] = NULL;
3579             strcpy((*prdata)[prlines - 1], walker->value.u_str);
3580         } else if (strcmp(walker->key, "image") == 0) {
3581             fwrite(walker->value.u_blo.ptr, walker->value.u_blo.size, 1,
3582                    (stream ? stream : stdout));
3583         }
3584         /* skip anything else */
3585         walker = walker->next;
3586     }
3587     rrd_info_free(grinfo);
3588     return 0;
3592 /* Some surgery done on this function, it became ridiculously big.
3593 ** Things moved:
3594 ** - initializing     now in rrd_graph_init()
3595 ** - options parsing  now in rrd_graph_options()
3596 ** - script parsing   now in rrd_graph_script()
3597 */
3598 rrd_info_t *rrd_graph_v(
3599     int argc,
3600     char **argv)
3602     image_desc_t im;
3603     rrd_info_t *grinfo;
3605     rrd_graph_init(&im);
3606     /* a dummy surface so that we can measure text sizes for placements */
3607     im.surface = cairo_image_surface_create(CAIRO_FORMAT_ARGB32, 10, 10);
3608     im.cr = cairo_create(im.surface);
3609     rrd_graph_options(argc, argv, &im);
3610     if (rrd_test_error()) {
3611         rrd_info_free(im.grinfo);
3612         im_free(&im);
3613         return NULL;
3614     }
3616     if (optind >= argc) {
3617         rrd_info_free(im.grinfo);
3618         im_free(&im);
3619         rrd_set_error("missing filename");
3620         return NULL;
3621     }
3623     if (strlen(argv[optind]) >= MAXPATH) {
3624         rrd_set_error("filename (including path) too long");
3625         rrd_info_free(im.grinfo);
3626         im_free(&im);
3627         return NULL;
3628     }
3630     strncpy(im.graphfile, argv[optind], MAXPATH - 1);
3631     im.graphfile[MAXPATH - 1] = '\0';
3633     if (strcmp(im.graphfile, "-") == 0) {
3634         im.graphfile[0] = '\0';
3635     }
3637     rrd_graph_script(argc, argv, &im, 1);
3638     if (rrd_test_error()) {
3639         rrd_info_free(im.grinfo);
3640         im_free(&im);
3641         return NULL;
3642     }
3644     /* Everything is now read and the actual work can start */
3646     if (graph_paint(&im) == -1) {
3647         rrd_info_free(im.grinfo);
3648         im_free(&im);
3649         return NULL;
3650     }
3653     /* The image is generated and needs to be output.
3654      ** Also, if needed, print a line with information about the image.
3655      */
3657     if (im.imginfo) {
3658         rrd_infoval_t info;
3660         info.u_str =
3661             sprintf_alloc(im.imginfo,
3662                           im.graphfile,
3663                           (long) (im.zoom *
3664                                   im.ximg), (long) (im.zoom * im.yimg));
3665         grinfo_push(&im, sprintf_alloc("image_info"), RD_I_STR, info);
3666         free(info.u_str);
3667     }
3668     if (im.rendered_image) {
3669         rrd_infoval_t img;
3671         img.u_blo.size = im.rendered_image_size;
3672         img.u_blo.ptr = im.rendered_image;
3673         grinfo_push(&im, sprintf_alloc("image"), RD_I_BLO, img);
3674     }
3675     grinfo = im.grinfo;
3676     im_free(&im);
3677     return grinfo;
3680 void rrd_graph_init(
3681     image_desc_t
3682     *im)
3684     unsigned int i;
3686 #ifdef HAVE_TZSET
3687     tzset();
3688 #endif
3689 #ifdef HAVE_SETLOCALE
3690     setlocale(LC_TIME, "");
3691 #ifdef HAVE_MBSTOWCS
3692     setlocale(LC_CTYPE, "");
3693 #endif
3694 #endif
3695     im->base = 1000;
3696     im->cr = NULL;
3697     im->draw_x_grid = 1;
3698     im->draw_y_grid = 1;
3699     im->extra_flags = 0;
3700     im->font_options = cairo_font_options_create();
3701     im->forceleftspace = 0;
3702     im->gdes_c = 0;
3703     im->gdes = NULL;
3704     im->graph_antialias = CAIRO_ANTIALIAS_GRAY;
3705     im->grid_dash_off = 1;
3706     im->grid_dash_on = 1;
3707     im->gridfit = 1;
3708     im->grinfo = (rrd_info_t *) NULL;
3709     im->grinfo_current = (rrd_info_t *) NULL;
3710     im->imgformat = IF_PNG;
3711     im->imginfo = NULL;
3712     im->lazy = 0;
3713     im->logarithmic = 0;
3714     im->maxval = DNAN;
3715     im->minval = 0;
3716     im->minval = DNAN;
3717     im->prt_c = 0;
3718     im->rigid = 0;
3719     im->rendered_image_size = 0;
3720     im->rendered_image = NULL;
3721     im->slopemode = 0;
3722     im->step = 0;
3723     im->surface = NULL;
3724     im->symbol = ' ';
3725     im->tabwidth = 40.0;
3726     im->title[0] = '\0';
3727     im->unitsexponent = 9999;
3728     im->unitslength = 6;
3729     im->viewfactor = 1.0;
3730     im->watermark[0] = '\0';
3731     im->with_markup = 0;
3732     im->ximg = 0;
3733     im->xlab_user.minsec = -1;
3734     im->xorigin = 0;
3735     im->xsize = 400;
3736     im->ygridstep = DNAN;
3737     im->yimg = 0;
3738     im->ylegend[0] = '\0';
3739     im->yorigin = 0;
3740     im->ysize = 100;
3741     im->zoom = 1;
3742     cairo_font_options_set_hint_style
3743         (im->font_options, CAIRO_HINT_STYLE_FULL);
3744     cairo_font_options_set_hint_metrics
3745         (im->font_options, CAIRO_HINT_METRICS_ON);
3746     cairo_font_options_set_antialias(im->font_options, CAIRO_ANTIALIAS_GRAY);
3747     for (i = 0; i < DIM(graph_col); i++)
3748         im->graph_col[i] = graph_col[i];
3749     {
3750         char     *deffont;
3752         deffont = getenv("RRD_DEFAULT_FONT");
3753         if (deffont != NULL) {
3754             for (i = 0; i < DIM(text_prop); i++) {
3755                 strncpy(text_prop[i].font, deffont,
3756                         sizeof(text_prop[i].font) - 1);
3757                 text_prop[i].font[sizeof(text_prop[i].font) - 1] = '\0';
3758             }
3759         }
3760     }
3761     for (i = 0; i < DIM(text_prop); i++) {
3762         im->text_prop[i].size = text_prop[i].size;
3763         strcpy(im->text_prop[i].font, text_prop[i].font);
3764     }
3767 void rrd_graph_options(
3768     int argc,
3769     char *argv[],
3770     image_desc_t
3771     *im)
3773     int       stroff;
3774     char     *parsetime_error = NULL;
3775     char      scan_gtm[12], scan_mtm[12], scan_ltm[12], col_nam[12];
3776     time_t    start_tmp = 0, end_tmp = 0;
3777     long      long_tmp;
3778     rrd_time_value_t start_tv, end_tv;
3779     long unsigned int color;
3780     char     *old_locale = "";
3782     /* defines for long options without a short equivalent. should be bytes,
3783        and may not collide with (the ASCII value of) short options */
3784 #define LONGOPT_UNITS_SI 255
3786 /* *INDENT-OFF* */
3787     struct option long_options[] = {
3788         { "start",              required_argument, 0, 's'}, 
3789         { "end",                required_argument, 0, 'e'},
3790         { "x-grid",             required_argument, 0, 'x'},
3791         { "y-grid",             required_argument, 0, 'y'},
3792         { "vertical-label",     required_argument, 0, 'v'},
3793         { "width",              required_argument, 0, 'w'},
3794         { "height",             required_argument, 0, 'h'},
3795         { "full-size-mode",     no_argument,       0, 'D'},
3796         { "interlaced",         no_argument,       0, 'i'},
3797         { "upper-limit",        required_argument, 0, 'u'},
3798         { "lower-limit",        required_argument, 0, 'l'},
3799         { "rigid",              no_argument,       0, 'r'},
3800         { "base",               required_argument, 0, 'b'},
3801         { "logarithmic",        no_argument,       0, 'o'},
3802         { "color",              required_argument, 0, 'c'},
3803         { "font",               required_argument, 0, 'n'},
3804         { "title",              required_argument, 0, 't'},
3805         { "imginfo",            required_argument, 0, 'f'},
3806         { "imgformat",          required_argument, 0, 'a'},
3807         { "lazy",               no_argument,       0, 'z'},
3808         { "zoom",               required_argument, 0, 'm'},
3809         { "no-legend",          no_argument,       0, 'g'},
3810         { "force-rules-legend", no_argument,       0, 'F'},
3811         { "only-graph",         no_argument,       0, 'j'},
3812         { "alt-y-grid",         no_argument,       0, 'Y'},
3813         { "no-minor",           no_argument,       0, 'I'}, 
3814         { "slope-mode",         no_argument,       0, 'E'},
3815         { "alt-autoscale",      no_argument,       0, 'A'},
3816         { "alt-autoscale-min",  no_argument,       0, 'J'},
3817         { "alt-autoscale-max",  no_argument,       0, 'M'},
3818         { "no-gridfit",         no_argument,       0, 'N'},
3819         { "units-exponent",     required_argument, 0, 'X'},
3820         { "units-length",       required_argument, 0, 'L'},
3821         { "units",              required_argument, 0, LONGOPT_UNITS_SI},
3822         { "step",               required_argument, 0, 'S'},
3823         { "tabwidth",           required_argument, 0, 'T'},
3824         { "font-render-mode",   required_argument, 0, 'R'},
3825         { "graph-render-mode",  required_argument, 0, 'G'},
3826         { "font-smoothing-threshold", required_argument, 0, 'B'},
3827         { "watermark",          required_argument, 0, 'W'},
3828         { "alt-y-mrtg",         no_argument,       0, 1000},    /* this has no effect it is just here to save old apps from crashing when they use it */
3829         { "pango-markup",       no_argument,       0, 'P'},
3830         {  0, 0, 0, 0}
3831 };
3832 /* *INDENT-ON* */
3834     optind = 0;
3835     opterr = 0;         /* initialize getopt */
3836     rrd_parsetime("end-24h", &start_tv);
3837     rrd_parsetime("now", &end_tv);
3838     while (1) {
3839         int       option_index = 0;
3840         int       opt;
3841         int       col_start, col_end;
3843         opt = getopt_long(argc, argv,
3844                           "s:e:x:y:v:w:h:D:iu:l:rb:oc:n:m:t:f:a:I:zgjFYAMEX:L:S:T:NR:B:W:kP",
3845                           long_options, &option_index);
3846         if (opt == EOF)
3847             break;
3848         switch (opt) {
3849         case 'I':
3850             im->extra_flags |= NOMINOR;
3851             break;
3852         case 'Y':
3853             im->extra_flags |= ALTYGRID;
3854             break;
3855         case 'A':
3856             im->extra_flags |= ALTAUTOSCALE;
3857             break;
3858         case 'J':
3859             im->extra_flags |= ALTAUTOSCALE_MIN;
3860             break;
3861         case 'M':
3862             im->extra_flags |= ALTAUTOSCALE_MAX;
3863             break;
3864         case 'j':
3865             im->extra_flags |= ONLY_GRAPH;
3866             break;
3867         case 'g':
3868             im->extra_flags |= NOLEGEND;
3869             break;
3870         case 'F':
3871             im->extra_flags |= FORCE_RULES_LEGEND;
3872             break;
3873         case LONGOPT_UNITS_SI:
3874             if (im->extra_flags & FORCE_UNITS) {
3875                 rrd_set_error("--units can only be used once!");
3876                 setlocale(LC_NUMERIC, old_locale);
3877                 return;
3878             }
3879             if (strcmp(optarg, "si") == 0)
3880                 im->extra_flags |= FORCE_UNITS_SI;
3881             else {
3882                 rrd_set_error("invalid argument for --units: %s", optarg);
3883                 return;
3884             }
3885             break;
3886         case 'X':
3887             im->unitsexponent = atoi(optarg);
3888             break;
3889         case 'L':
3890             im->unitslength = atoi(optarg);
3891             im->forceleftspace = 1;
3892             break;
3893         case 'T':
3894             old_locale = setlocale(LC_NUMERIC, "C");
3895             im->tabwidth = atof(optarg);
3896             setlocale(LC_NUMERIC, old_locale);
3897             break;
3898         case 'S':
3899             old_locale = setlocale(LC_NUMERIC, "C");
3900             im->step = atoi(optarg);
3901             setlocale(LC_NUMERIC, old_locale);
3902             break;
3903         case 'N':
3904             im->gridfit = 0;
3905             break;
3906         case 'P':
3907             im->with_markup = 1;
3908             break;
3909         case 's':
3910             if ((parsetime_error = rrd_parsetime(optarg, &start_tv))) {
3911                 rrd_set_error("start time: %s", parsetime_error);
3912                 return;
3913             }
3914             break;
3915         case 'e':
3916             if ((parsetime_error = rrd_parsetime(optarg, &end_tv))) {
3917                 rrd_set_error("end time: %s", parsetime_error);
3918                 return;
3919             }
3920             break;
3921         case 'x':
3922             if (strcmp(optarg, "none") == 0) {
3923                 im->draw_x_grid = 0;
3924                 break;
3925             };
3926             if (sscanf(optarg,
3927                        "%10[A-Z]:%ld:%10[A-Z]:%ld:%10[A-Z]:%ld:%ld:%n",
3928                        scan_gtm,
3929                        &im->xlab_user.gridst,
3930                        scan_mtm,
3931                        &im->xlab_user.mgridst,
3932                        scan_ltm,
3933                        &im->xlab_user.labst,
3934                        &im->xlab_user.precis, &stroff) == 7 && stroff != 0) {
3935                 strncpy(im->xlab_form, optarg + stroff,
3936                         sizeof(im->xlab_form) - 1);
3937                 im->xlab_form[sizeof(im->xlab_form) - 1] = '\0';
3938                 if ((int)
3939                     (im->xlab_user.gridtm = tmt_conv(scan_gtm)) == -1) {
3940                     rrd_set_error("unknown keyword %s", scan_gtm);
3941                     return;
3942                 } else if ((int)
3943                            (im->xlab_user.mgridtm = tmt_conv(scan_mtm))
3944                            == -1) {
3945                     rrd_set_error("unknown keyword %s", scan_mtm);
3946                     return;
3947                 } else if ((int)
3948                            (im->xlab_user.labtm = tmt_conv(scan_ltm)) == -1) {
3949                     rrd_set_error("unknown keyword %s", scan_ltm);
3950                     return;
3951                 }
3952                 im->xlab_user.minsec = 1;
3953                 im->xlab_user.stst = im->xlab_form;
3954             } else {
3955                 rrd_set_error("invalid x-grid format");
3956                 return;
3957             }
3958             break;
3959         case 'y':
3961             if (strcmp(optarg, "none") == 0) {
3962                 im->draw_y_grid = 0;
3963                 break;
3964             };
3965             old_locale = setlocale(LC_NUMERIC, "C");
3966             if (sscanf(optarg, "%lf:%d", &im->ygridstep, &im->ylabfact) == 2) {
3967                 setlocale(LC_NUMERIC, old_locale);
3968                 if (im->ygridstep <= 0) {
3969                     rrd_set_error("grid step must be > 0");
3970                     return;
3971                 } else if (im->ylabfact < 1) {
3972                     rrd_set_error("label factor must be > 0");
3973                     return;
3974                 }
3975             } else {
3976                 setlocale(LC_NUMERIC, old_locale);
3977                 rrd_set_error("invalid y-grid format");
3978                 return;
3979             }
3980             break;
3981         case 'v':
3982             strncpy(im->ylegend, optarg, 150);
3983             im->ylegend[150] = '\0';
3984             break;
3985         case 'u':
3986             old_locale = setlocale(LC_NUMERIC, "C");
3987             im->maxval = atof(optarg);
3988             setlocale(LC_NUMERIC, old_locale);
3989             break;
3990         case 'l':
3991             old_locale = setlocale(LC_NUMERIC, "C");
3992             im->minval = atof(optarg);
3993             setlocale(LC_NUMERIC, old_locale);
3994             break;
3995         case 'b':
3996             im->base = atol(optarg);
3997             if (im->base != 1024 && im->base != 1000) {
3998                 rrd_set_error
3999                     ("the only sensible value for base apart from 1000 is 1024");
4000                 return;
4001             }
4002             break;
4003         case 'w':
4004             long_tmp = atol(optarg);
4005             if (long_tmp < 10) {
4006                 rrd_set_error("width below 10 pixels");
4007                 return;
4008             }
4009             im->xsize = long_tmp;
4010             break;
4011         case 'h':
4012             long_tmp = atol(optarg);
4013             if (long_tmp < 10) {
4014                 rrd_set_error("height below 10 pixels");
4015                 return;
4016             }
4017             im->ysize = long_tmp;
4018             break;
4019         case 'D':
4020             im->extra_flags |= FULL_SIZE_MODE;
4021             break;
4022         case 'i':
4023             /* interlaced png not supported at the moment */
4024             break;
4025         case 'r':
4026             im->rigid = 1;
4027             break;
4028         case 'f':
4029             im->imginfo = optarg;
4030             break;
4031         case 'a':
4032             if ((int)
4033                 (im->imgformat = if_conv(optarg)) == -1) {
4034                 rrd_set_error("unsupported graphics format '%s'", optarg);
4035                 return;
4036             }
4037             break;
4038         case 'z':
4039             im->lazy = 1;
4040             break;
4041         case 'E':
4042             im->slopemode = 1;
4043             break;
4044         case 'o':
4045             im->logarithmic = 1;
4046             break;
4047         case 'c':
4048             if (sscanf(optarg,
4049                        "%10[A-Z]#%n%8lx%n",
4050                        col_nam, &col_start, &color, &col_end) == 2) {
4051                 int       ci;
4052                 int       col_len = col_end - col_start;
4054                 switch (col_len) {
4055                 case 3:
4056                     color =
4057                         (((color & 0xF00) * 0x110000) | ((color & 0x0F0) *
4058                                                          0x011000) |
4059                          ((color & 0x00F)
4060                           * 0x001100)
4061                          | 0x000000FF);
4062                     break;
4063                 case 4:
4064                     color =
4065                         (((color & 0xF000) *
4066                           0x11000) | ((color & 0x0F00) *
4067                                       0x01100) | ((color &
4068                                                    0x00F0) *
4069                                                   0x00110) |
4070                          ((color & 0x000F) * 0x00011)
4071                         );
4072                     break;
4073                 case 6:
4074                     color = (color << 8) + 0xff /* shift left by 8 */ ;
4075                     break;
4076                 case 8:
4077                     break;
4078                 default:
4079                     rrd_set_error("the color format is #RRGGBB[AA]");
4080                     return;
4081                 }
4082                 if ((ci = grc_conv(col_nam)) != -1) {
4083                     im->graph_col[ci] = gfx_hex_to_col(color);
4084                 } else {
4085                     rrd_set_error("invalid color name '%s'", col_nam);
4086                     return;
4087                 }
4088             } else {
4089                 rrd_set_error("invalid color def format");
4090                 return;
4091             }
4092             break;
4093         case 'n':{
4094             char      prop[15];
4095             double    size = 1;
4096             int       end;
4098             old_locale = setlocale(LC_NUMERIC, "C");
4099             if (sscanf(optarg, "%10[A-Z]:%lf%n", prop, &size, &end) >= 2) {
4100                 int       sindex, propidx;
4102                 setlocale(LC_NUMERIC, old_locale);
4103                 if ((sindex = text_prop_conv(prop)) != -1) {
4104                     for (propidx = sindex;
4105                          propidx < TEXT_PROP_LAST; propidx++) {
4106                         if (size > 0) {
4107                             im->text_prop[propidx].size = size;
4108                         }
4109                         if ((int) strlen(optarg) > end) {
4110                             if (optarg[end] == ':') {
4111                                 strncpy(im->text_prop[propidx].font,
4112                                         optarg + end + 1, 255);
4113                                 im->text_prop[propidx].font[255] = '\0';
4114                             } else {
4115                                 rrd_set_error
4116                                     ("expected : after font size in '%s'",
4117                                      optarg);
4118                                 return;
4119                             }
4120                         }
4121                         /* only run the for loop for DEFAULT (0) for
4122                            all others, we break here. woodo programming */
4123                         if (propidx == sindex && sindex != 0)
4124                             break;
4125                     }
4126                 } else {
4127                     rrd_set_error("invalid fonttag '%s'", prop);
4128                     return;
4129                 }
4130             } else {
4131                 setlocale(LC_NUMERIC, old_locale);
4132                 rrd_set_error("invalid text property format");
4133                 return;
4134             }
4135             break;
4136         }
4137         case 'm':
4138             old_locale = setlocale(LC_NUMERIC, "C");
4139             im->zoom = atof(optarg);
4140             setlocale(LC_NUMERIC, old_locale);
4141             if (im->zoom <= 0.0) {
4142                 rrd_set_error("zoom factor must be > 0");
4143                 return;
4144             }
4145             break;
4146         case 't':
4147             strncpy(im->title, optarg, 150);
4148             im->title[150] = '\0';
4149             break;
4150         case 'R':
4151             if (strcmp(optarg, "normal") == 0) {
4152                 cairo_font_options_set_antialias
4153                     (im->font_options, CAIRO_ANTIALIAS_GRAY);
4154                 cairo_font_options_set_hint_style
4155                     (im->font_options, CAIRO_HINT_STYLE_FULL);
4156             } else if (strcmp(optarg, "light") == 0) {
4157                 cairo_font_options_set_antialias
4158                     (im->font_options, CAIRO_ANTIALIAS_GRAY);
4159                 cairo_font_options_set_hint_style
4160                     (im->font_options, CAIRO_HINT_STYLE_SLIGHT);
4161             } else if (strcmp(optarg, "mono") == 0) {
4162                 cairo_font_options_set_antialias
4163                     (im->font_options, CAIRO_ANTIALIAS_NONE);
4164                 cairo_font_options_set_hint_style
4165                     (im->font_options, CAIRO_HINT_STYLE_FULL);
4166             } else {
4167                 rrd_set_error("unknown font-render-mode '%s'", optarg);
4168                 return;
4169             }
4170             break;
4171         case 'G':
4172             if (strcmp(optarg, "normal") == 0)
4173                 im->graph_antialias = CAIRO_ANTIALIAS_GRAY;
4174             else if (strcmp(optarg, "mono") == 0)
4175                 im->graph_antialias = CAIRO_ANTIALIAS_NONE;
4176             else {
4177                 rrd_set_error("unknown graph-render-mode '%s'", optarg);
4178                 return;
4179             }
4180             break;
4181         case 'B':
4182             /* not supported curently */
4183             break;
4184         case 'W':
4185             strncpy(im->watermark, optarg, 100);
4186             im->watermark[99] = '\0';
4187             break;
4188         case '?':
4189             if (optopt != 0)
4190                 rrd_set_error("unknown option '%c'", optopt);
4191             else
4192                 rrd_set_error("unknown option '%s'", argv[optind - 1]);
4193             return;
4194         }
4195     }
4197     if (im->logarithmic && im->minval <= 0) {
4198         rrd_set_error
4199             ("for a logarithmic yaxis you must specify a lower-limit > 0");
4200         return;
4201     }
4203     if (rrd_proc_start_end(&start_tv, &end_tv, &start_tmp, &end_tmp) == -1) {
4204         /* error string is set in rrd_parsetime.c */
4205         return;
4206     }
4208     if (start_tmp < 3600 * 24 * 365 * 10) {
4209         rrd_set_error
4210             ("the first entry to fetch should be after 1980 (%ld)",
4211              start_tmp);
4212         return;
4213     }
4215     if (end_tmp < start_tmp) {
4216         rrd_set_error
4217             ("start (%ld) should be less than end (%ld)", start_tmp, end_tmp);
4218         return;
4219     }
4221     im->start = start_tmp;
4222     im->end = end_tmp;
4223     im->step = max((long) im->step, (im->end - im->start) / im->xsize);
4226 int rrd_graph_color(
4227     image_desc_t
4228     *im,
4229     char *var,
4230     char *err,
4231     int optional)
4233     char     *color;
4234     graph_desc_t *gdp = &im->gdes[im->gdes_c - 1];
4236     color = strstr(var, "#");
4237     if (color == NULL) {
4238         if (optional == 0) {
4239             rrd_set_error("Found no color in %s", err);
4240             return 0;
4241         }
4242         return 0;
4243     } else {
4244         int       n = 0;
4245         char     *rest;
4246         long unsigned int col;
4248         rest = strstr(color, ":");
4249         if (rest != NULL)
4250             n = rest - color;
4251         else
4252             n = strlen(color);
4253         switch (n) {
4254         case 7:
4255             sscanf(color, "#%6lx%n", &col, &n);
4256             col = (col << 8) + 0xff /* shift left by 8 */ ;
4257             if (n != 7)
4258                 rrd_set_error("Color problem in %s", err);
4259             break;
4260         case 9:
4261             sscanf(color, "#%8lx%n", &col, &n);
4262             if (n == 9)
4263                 break;
4264         default:
4265             rrd_set_error("Color problem in %s", err);
4266         }
4267         if (rrd_test_error())
4268             return 0;
4269         gdp->col = gfx_hex_to_col(col);
4270         return n;
4271     }
4275 int bad_format(
4276     char *fmt)
4278     char     *ptr;
4279     int       n = 0;
4281     ptr = fmt;
4282     while (*ptr != '\0')
4283         if (*ptr++ == '%') {
4285             /* line cannot end with percent char */
4286             if (*ptr == '\0')
4287                 return 1;
4288             /* '%s', '%S' and '%%' are allowed */
4289             if (*ptr == 's' || *ptr == 'S' || *ptr == '%')
4290                 ptr++;
4291             /* %c is allowed (but use only with vdef!) */
4292             else if (*ptr == 'c') {
4293                 ptr++;
4294                 n = 1;
4295             }
4297             /* or else '% 6.2lf' and such are allowed */
4298             else {
4299                 /* optional padding character */
4300                 if (*ptr == ' ' || *ptr == '+' || *ptr == '-')
4301                     ptr++;
4302                 /* This should take care of 'm.n' with all three optional */
4303                 while (*ptr >= '0' && *ptr <= '9')
4304                     ptr++;
4305                 if (*ptr == '.')
4306                     ptr++;
4307                 while (*ptr >= '0' && *ptr <= '9')
4308                     ptr++;
4309                 /* Either 'le', 'lf' or 'lg' must follow here */
4310                 if (*ptr++ != 'l')
4311                     return 1;
4312                 if (*ptr == 'e' || *ptr == 'f' || *ptr == 'g')
4313                     ptr++;
4314                 else
4315                     return 1;
4316                 n++;
4317             }
4318         }
4320     return (n != 1);
4324 int vdef_parse(
4325     struct graph_desc_t
4326     *gdes,
4327     const char *const str)
4329     /* A VDEF currently is either "func" or "param,func"
4330      * so the parsing is rather simple.  Change if needed.
4331      */
4332     double    param;
4333     char      func[30];
4334     int       n;
4335     char     *old_locale;
4337     n = 0;
4338     old_locale = setlocale(LC_NUMERIC, "C");
4339     sscanf(str, "%le,%29[A-Z]%n", &param, func, &n);
4340     setlocale(LC_NUMERIC, old_locale);
4341     if (n == (int) strlen(str)) {   /* matched */
4342         ;
4343     } else {
4344         n = 0;
4345         sscanf(str, "%29[A-Z]%n", func, &n);
4346         if (n == (int) strlen(str)) {   /* matched */
4347             param = DNAN;
4348         } else {
4349             rrd_set_error
4350                 ("Unknown function string '%s' in VDEF '%s'",
4351                  str, gdes->vname);
4352             return -1;
4353         }
4354     }
4355     if (!strcmp("PERCENT", func))
4356         gdes->vf.op = VDEF_PERCENT;
4357     else if (!strcmp("MAXIMUM", func))
4358         gdes->vf.op = VDEF_MAXIMUM;
4359     else if (!strcmp("AVERAGE", func))
4360         gdes->vf.op = VDEF_AVERAGE;
4361     else if (!strcmp("STDEV", func))
4362         gdes->vf.op = VDEF_STDEV;
4363     else if (!strcmp("MINIMUM", func))
4364         gdes->vf.op = VDEF_MINIMUM;
4365     else if (!strcmp("TOTAL", func))
4366         gdes->vf.op = VDEF_TOTAL;
4367     else if (!strcmp("FIRST", func))
4368         gdes->vf.op = VDEF_FIRST;
4369     else if (!strcmp("LAST", func))
4370         gdes->vf.op = VDEF_LAST;
4371     else if (!strcmp("LSLSLOPE", func))
4372         gdes->vf.op = VDEF_LSLSLOPE;
4373     else if (!strcmp("LSLINT", func))
4374         gdes->vf.op = VDEF_LSLINT;
4375     else if (!strcmp("LSLCORREL", func))
4376         gdes->vf.op = VDEF_LSLCORREL;
4377     else {
4378         rrd_set_error
4379             ("Unknown function '%s' in VDEF '%s'\n", func, gdes->vname);
4380         return -1;
4381     };
4382     switch (gdes->vf.op) {
4383     case VDEF_PERCENT:
4384         if (isnan(param)) { /* no parameter given */
4385             rrd_set_error
4386                 ("Function '%s' needs parameter in VDEF '%s'\n",
4387                  func, gdes->vname);
4388             return -1;
4389         };
4390         if (param >= 0.0 && param <= 100.0) {
4391             gdes->vf.param = param;
4392             gdes->vf.val = DNAN;    /* undefined */
4393             gdes->vf.when = 0;  /* undefined */
4394         } else {
4395             rrd_set_error
4396                 ("Parameter '%f' out of range in VDEF '%s'\n",
4397                  param, gdes->vname);
4398             return -1;
4399         };
4400         break;
4401     case VDEF_MAXIMUM:
4402     case VDEF_AVERAGE:
4403     case VDEF_STDEV:
4404     case VDEF_MINIMUM:
4405     case VDEF_TOTAL:
4406     case VDEF_FIRST:
4407     case VDEF_LAST:
4408     case VDEF_LSLSLOPE:
4409     case VDEF_LSLINT:
4410     case VDEF_LSLCORREL:
4411         if (isnan(param)) {
4412             gdes->vf.param = DNAN;
4413             gdes->vf.val = DNAN;
4414             gdes->vf.when = 0;
4415         } else {
4416             rrd_set_error
4417                 ("Function '%s' needs no parameter in VDEF '%s'\n",
4418                  func, gdes->vname);
4419             return -1;
4420         };
4421         break;
4422     };
4423     return 0;
4427 int vdef_calc(
4428     image_desc_t *im,
4429     int gdi)
4431     graph_desc_t *src, *dst;
4432     rrd_value_t *data;
4433     long      step, steps;
4434     unsigned long end;
4436     dst = &im->gdes[gdi];
4437     src = &im->gdes[dst->vidx];
4438     data = src->data + src->ds;
4439     end =
4440         src->end_orig % src->step ==
4441         0 ? src->end_orig : (src->end_orig + src->step -
4442                              src->end_orig % src->step);
4444     steps = (end - src->start) / src->step;
4445 #if 0
4446     printf
4447         ("DEBUG: start == %lu, end == %lu, %lu steps\n",
4448          src->start, src->end_orig, steps);
4449 #endif
4450     switch (dst->vf.op) {
4451     case VDEF_PERCENT:{
4452         rrd_value_t *array;
4453         int       field;
4454         if ((array = malloc(steps * sizeof(double))) == NULL) {
4455             rrd_set_error("malloc VDEV_PERCENT");
4456             return -1;
4457         }
4458         for (step = 0; step < steps; step++) {
4459             array[step] = data[step * src->ds_cnt];
4460         }
4461         qsort(array, step, sizeof(double), vdef_percent_compar);
4462         field = (steps - 1) * dst->vf.param / 100;
4463         dst->vf.val = array[field];
4464         dst->vf.when = 0;   /* no time component */
4465         free(array);
4466 #if 0
4467         for (step = 0; step < steps; step++)
4468             printf("DEBUG: %3li:%10.2f %c\n",
4469                    step, array[step], step == field ? '*' : ' ');
4470 #endif
4471     }
4472         break;
4473     case VDEF_MAXIMUM:
4474         step = 0;
4475         while (step != steps && isnan(data[step * src->ds_cnt]))
4476             step++;
4477         if (step == steps) {
4478             dst->vf.val = DNAN;
4479             dst->vf.when = 0;
4480         } else {
4481             dst->vf.val = data[step * src->ds_cnt];
4482             dst->vf.when = src->start + (step + 1) * src->step;
4483         }
4484         while (step != steps) {
4485             if (finite(data[step * src->ds_cnt])) {
4486                 if (data[step * src->ds_cnt] > dst->vf.val) {
4487                     dst->vf.val = data[step * src->ds_cnt];
4488                     dst->vf.when = src->start + (step + 1) * src->step;
4489                 }
4490             }
4491             step++;
4492         }
4493         break;
4494     case VDEF_TOTAL:
4495     case VDEF_STDEV:
4496     case VDEF_AVERAGE:{
4497         int       cnt = 0;
4498         double    sum = 0.0;
4499         double    average = 0.0;
4501         for (step = 0; step < steps; step++) {
4502             if (finite(data[step * src->ds_cnt])) {
4503                 sum += data[step * src->ds_cnt];
4504                 cnt++;
4505             };
4506         }
4507         if (cnt) {
4508             if (dst->vf.op == VDEF_TOTAL) {
4509                 dst->vf.val = sum * src->step;
4510                 dst->vf.when = 0;   /* no time component */
4511             } else if (dst->vf.op == VDEF_AVERAGE) {
4512                 dst->vf.val = sum / cnt;
4513                 dst->vf.when = 0;   /* no time component */
4514             } else {
4515                 average = sum / cnt;
4516                 sum = 0.0;
4517                 for (step = 0; step < steps; step++) {
4518                     if (finite(data[step * src->ds_cnt])) {
4519                         sum += pow((data[step * src->ds_cnt] - average), 2.0);
4520                     };
4521                 }
4522                 dst->vf.val = pow(sum / cnt, 0.5);
4523                 dst->vf.when = 0;   /* no time component */
4524             };
4525         } else {
4526             dst->vf.val = DNAN;
4527             dst->vf.when = 0;
4528         }
4529     }
4530         break;
4531     case VDEF_MINIMUM:
4532         step = 0;
4533         while (step != steps && isnan(data[step * src->ds_cnt]))
4534             step++;
4535         if (step == steps) {
4536             dst->vf.val = DNAN;
4537             dst->vf.when = 0;
4538         } else {
4539             dst->vf.val = data[step * src->ds_cnt];
4540             dst->vf.when = src->start + (step + 1) * src->step;
4541         }
4542         while (step != steps) {
4543             if (finite(data[step * src->ds_cnt])) {
4544                 if (data[step * src->ds_cnt] < dst->vf.val) {
4545                     dst->vf.val = data[step * src->ds_cnt];
4546                     dst->vf.when = src->start + (step + 1) * src->step;
4547                 }
4548             }
4549             step++;
4550         }
4551         break;
4552     case VDEF_FIRST:
4553         /* The time value returned here is one step before the
4554          * actual time value.  This is the start of the first
4555          * non-NaN interval.
4556          */
4557         step = 0;
4558         while (step != steps && isnan(data[step * src->ds_cnt]))
4559             step++;
4560         if (step == steps) {    /* all entries were NaN */
4561             dst->vf.val = DNAN;
4562             dst->vf.when = 0;
4563         } else {
4564             dst->vf.val = data[step * src->ds_cnt];
4565             dst->vf.when = src->start + step * src->step;
4566         }
4567         break;
4568     case VDEF_LAST:
4569         /* The time value returned here is the
4570          * actual time value.  This is the end of the last
4571          * non-NaN interval.
4572          */
4573         step = steps - 1;
4574         while (step >= 0 && isnan(data[step * src->ds_cnt]))
4575             step--;
4576         if (step < 0) { /* all entries were NaN */
4577             dst->vf.val = DNAN;
4578             dst->vf.when = 0;
4579         } else {
4580             dst->vf.val = data[step * src->ds_cnt];
4581             dst->vf.when = src->start + (step + 1) * src->step;
4582         }
4583         break;
4584     case VDEF_LSLSLOPE:
4585     case VDEF_LSLINT:
4586     case VDEF_LSLCORREL:{
4587         /* Bestfit line by linear least squares method */
4589         int       cnt = 0;
4590         double    SUMx, SUMy, SUMxy, SUMxx, SUMyy, slope, y_intercept, correl;
4592         SUMx = 0;
4593         SUMy = 0;
4594         SUMxy = 0;
4595         SUMxx = 0;
4596         SUMyy = 0;
4597         for (step = 0; step < steps; step++) {
4598             if (finite(data[step * src->ds_cnt])) {
4599                 cnt++;
4600                 SUMx += step;
4601                 SUMxx += step * step;
4602                 SUMxy += step * data[step * src->ds_cnt];
4603                 SUMy += data[step * src->ds_cnt];
4604                 SUMyy += data[step * src->ds_cnt] * data[step * src->ds_cnt];
4605             };
4606         }
4608         slope = (SUMx * SUMy - cnt * SUMxy) / (SUMx * SUMx - cnt * SUMxx);
4609         y_intercept = (SUMy - slope * SUMx) / cnt;
4610         correl =
4611             (SUMxy -
4612              (SUMx * SUMy) / cnt) /
4613             sqrt((SUMxx -
4614                   (SUMx * SUMx) / cnt) * (SUMyy - (SUMy * SUMy) / cnt));
4615         if (cnt) {
4616             if (dst->vf.op == VDEF_LSLSLOPE) {
4617                 dst->vf.val = slope;
4618                 dst->vf.when = 0;
4619             } else if (dst->vf.op == VDEF_LSLINT) {
4620                 dst->vf.val = y_intercept;
4621                 dst->vf.when = 0;
4622             } else if (dst->vf.op == VDEF_LSLCORREL) {
4623                 dst->vf.val = correl;
4624                 dst->vf.when = 0;
4625             };
4626         } else {
4627             dst->vf.val = DNAN;
4628             dst->vf.when = 0;
4629         }
4630     }
4631         break;
4632     }
4633     return 0;
4636 /* NaN < -INF < finite_values < INF */
4637 int vdef_percent_compar(
4638     const void
4639     *a,
4640     const void
4641     *b)
4643     /* Equality is not returned; this doesn't hurt except
4644      * (maybe) for a little performance.
4645      */
4647     /* First catch NaN values. They are smallest */
4648     if (isnan(*(double *) a))
4649         return -1;
4650     if (isnan(*(double *) b))
4651         return 1;
4652     /* NaN doesn't reach this part so INF and -INF are extremes.
4653      * The sign from isinf() is compatible with the sign we return
4654      */
4655     if (isinf(*(double *) a))
4656         return isinf(*(double *) a);
4657     if (isinf(*(double *) b))
4658         return isinf(*(double *) b);
4659     /* If we reach this, both values must be finite */
4660     if (*(double *) a < *(double *) b)
4661         return -1;
4662     else
4663         return 1;
4666 void grinfo_push(
4667     image_desc_t *im,
4668     char *key,
4669     rrd_info_type_t type,
4670     rrd_infoval_t value)
4672     im->grinfo_current = rrd_info_push(im->grinfo_current, key, type, value);
4673     if (im->grinfo == NULL) {
4674         im->grinfo = im->grinfo_current;
4675     }