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1 /*
2 * units.c Copyright (c) 1993 by Adrian Mariano (adrian@cam.cornell.edu)
3 *
4 * Redistribution and use in source and binary forms, with or without
5 * modification, are permitted provided that the following conditions
6 * are met:
7 * 1. Redistributions of source code must retain the above copyright
8 * notice, this list of conditions and the following disclaimer.
9 * 2. The name of the author may not be used to endorse or promote products
10 * derived from this software without specific prior written permission.
11 * Disclaimer: This software is provided by the author "as is". The author
12 * shall not be liable for any damages caused in any way by this software.
13 *
14 * I would appreciate (though I do not require) receiving a copy of any
15 * improvements you might make to this program.
16 */
17
18 #ifndef lint
19 static const char rcsid[] =
20 "$FreeBSD: src/usr.bin/units/units.c,v 1.11.2.1.2.1 2009/10/25 01:10:29 kensmith Exp $";
21 #endif /* not lint */
22
23 #include <ctype.h>
24 #include <err.h>
25 #include <stdio.h>
26 #include <stdlib.h>
27 #include <string.h>
28 #include <unistd.h>
29
30 #include "pathnames.h"
31
32 #define VERSION "1.0"
33
34 #ifndef UNITSFILE
35 #define UNITSFILE _PATH_UNITSLIB
36 #endif
37
38 #define MAXUNITS 1000
39 #define MAXPREFIXES 100
40
41 #define MAXSUBUNITS 500
42
43 #define PRIMITIVECHAR '!'
44
45 const char *powerstring = "^";
46
47 struct {
48 char *uname;
49 char *uval;
50 } unittable[MAXUNITS];
51
52 struct unittype {
53 char *numerator[MAXSUBUNITS];
54 char *denominator[MAXSUBUNITS];
55 double factor;
56 double offset;
57 int quantity;
58 };
59
60 struct {
61 char *prefixname;
62 char *prefixval;
63 } prefixtable[MAXPREFIXES];
64
65
66 char NULLUNIT[] = "";
67
68 #ifdef MSDOS
69 #define SEPARATOR ";"
70 #else
71 #define SEPARATOR ":"
72 #endif
73
74 int unitcount;
75 int prefixcount;
76
77 char *dupstr(const char *str);
78 void readunits(const char *userfile);
79 void initializeunit(struct unittype * theunit);
80 int addsubunit(char *product[], char *toadd);
81 void showunit(struct unittype * theunit);
82 void zeroerror(void);
83 int addunit(struct unittype *theunit, char *toadd, int flip, int quantity);
84 int compare(const void *item1, const void *item2);
85 void sortunit(struct unittype * theunit);
86 void cancelunit(struct unittype * theunit);
87 char *lookupunit(const char *unit);
88 int reduceproduct(struct unittype * theunit, int flip);
89 int reduceunit(struct unittype * theunit);
90 int compareproducts(char **one, char **two);
91 int compareunits(struct unittype * first, struct unittype * second);
92 int completereduce(struct unittype * unit);
93 void showanswer(struct unittype * have, struct unittype * want);
94 void usage(void);
95
96 char *
97 dupstr(const char *str)
98 {
99 char *ret;
100
101 ret = malloc(strlen(str) + 1);
102 if (!ret)
103 errx(3, "memory allocation error");
104 strcpy(ret, str);
105 return (ret);
106 }
107
108
109 void
110 readunits(const char *userfile)
111 {
112 FILE *unitfile;
113 char line[512], *lineptr;
114 int len, linenum, i;
115
116 unitcount = 0;
117 linenum = 0;
118
119 if (userfile) {
120 unitfile = fopen(userfile, "rt");
121 if (!unitfile)
122 errx(1, "unable to open units file '%s'", userfile);
123 }
124 else {
125 unitfile = fopen(UNITSFILE, "rt");
126 if (!unitfile) {
127 char *direc, *env;
128 char filename[1000];
129
130 env = getenv("PATH");
131 if (env) {
132 direc = strtok(env, SEPARATOR);
133 while (direc) {
134 snprintf(filename, sizeof(filename),
135 "%s/%s", direc, UNITSFILE);
136 unitfile = fopen(filename, "rt");
137 if (unitfile)
138 break;
139 direc = strtok(NULL, SEPARATOR);
140 }
141 }
142 if (!unitfile)
143 errx(1, "can't find units file '%s'", UNITSFILE);
144 }
145 }
146 while (!feof(unitfile)) {
147 if (!fgets(line, sizeof(line), unitfile))
148 break;
149 linenum++;
150 lineptr = line;
151 if (*lineptr == '/')
152 continue;
153 lineptr += strspn(lineptr, " \n\t");
154 len = strcspn(lineptr, " \n\t");
155 lineptr[len] = 0;
156 if (!strlen(lineptr))
157 continue;
158 if (lineptr[strlen(lineptr) - 1] == '-') { /* it's a prefix */
159 if (prefixcount == MAXPREFIXES) {
160 warnx("memory for prefixes exceeded in line %d", linenum);
161 continue;
162 }
163 lineptr[strlen(lineptr) - 1] = 0;
164 prefixtable[prefixcount].prefixname = dupstr(lineptr);
165 for (i = 0; i < prefixcount; i++)
166 if (!strcmp(prefixtable[i].prefixname, lineptr)) {
167 warnx("redefinition of prefix '%s' on line %d ignored",
168 lineptr, linenum);
169 continue;
170 }
171 lineptr += len + 1;
172 lineptr += strspn(lineptr, " \n\t");
173 len = strcspn(lineptr, "\n\t");
174 if (len == 0) {
175 warnx("unexpected end of prefix on line %d",
176 linenum);
177 continue;
178 }
179 lineptr[len] = 0;
180 prefixtable[prefixcount++].prefixval = dupstr(lineptr);
181 }
182 else { /* it's not a prefix */
183 if (unitcount == MAXUNITS) {
184 warnx("memory for units exceeded in line %d", linenum);
185 continue;
186 }
187 unittable[unitcount].uname = dupstr(lineptr);
188 for (i = 0; i < unitcount; i++)
189 if (!strcmp(unittable[i].uname, lineptr)) {
190 warnx("redefinition of unit '%s' on line %d ignored",
191 lineptr, linenum);
192 continue;
193 }
194 lineptr += len + 1;
195 lineptr += strspn(lineptr, " \n\t");
196 if (!strlen(lineptr)) {
197 warnx("unexpected end of unit on line %d",
198 linenum);
199 continue;
200 }
201 len = strcspn(lineptr, "\n\t");
202 lineptr[len] = 0;
203 unittable[unitcount++].uval = dupstr(lineptr);
204 }
205 }
206 fclose(unitfile);
207 }
208
209 void
210 initializeunit(struct unittype * theunit)
211 {
212 theunit->numerator[0] = theunit->denominator[0] = NULL;
213 theunit->factor = 1.0;
214 theunit->offset = 0.0;
215 theunit->quantity = 0;
216 }
217
218
219 int
220 addsubunit(char *product[], char *toadd)
221 {
222 char **ptr;
223
224 for (ptr = product; *ptr && *ptr != NULLUNIT; ptr++);
225 if (ptr >= product + MAXSUBUNITS) {
226 warnx("memory overflow in unit reduction");
227 return 1;
228 }
229 if (!*ptr)
230 *(ptr + 1) = 0;
231 *ptr = dupstr(toadd);
232 return 0;
233 }
234
235
236 void
237 showunit(struct unittype * theunit)
238 {
239 char **ptr;
240 int printedslash;
241 int counter = 1;
242
243 printf("\t%.8g", theunit->factor);
244 if (theunit->offset)
245 printf("&%.8g", theunit->offset);
246 for (ptr = theunit->numerator; *ptr; ptr++) {
247 if (ptr > theunit->numerator && **ptr &&
248 !strcmp(*ptr, *(ptr - 1)))
249 counter++;
250 else {
251 if (counter > 1)
252 printf("%s%d", powerstring, counter);
253 if (**ptr)
254 printf(" %s", *ptr);
255 counter = 1;
256 }
257 }
258 if (counter > 1)
259 printf("%s%d", powerstring, counter);
260 counter = 1;
261 printedslash = 0;
262 for (ptr = theunit->denominator; *ptr; ptr++) {
263 if (ptr > theunit->denominator && **ptr &&
264 !strcmp(*ptr, *(ptr - 1)))
265 counter++;
266 else {
267 if (counter > 1)
268 printf("%s%d", powerstring, counter);
269 if (**ptr) {
270 if (!printedslash)
271 printf(" /");
272 printedslash = 1;
273 printf(" %s", *ptr);
274 }
275 counter = 1;
276 }
277 }
278 if (counter > 1)
279 printf("%s%d", powerstring, counter);
280 printf("\n");
281 }
282
283
284 void
285 zeroerror(void)
286 {
287 warnx("unit reduces to zero");
288 }
289
290 /*
291 Adds the specified string to the unit.
292 Flip is 0 for adding normally, 1 for adding reciprocal.
293 Quantity is 1 if this is a quantity to be converted rather than a pure unit.
294
295 Returns 0 for successful addition, nonzero on error.
296 */
297
298 int
299 addunit(struct unittype * theunit, char *toadd, int flip, int quantity)
300 {
301 char *scratch, *savescr;
302 char *item;
303 char *divider, *slash, *offset;
304 int doingtop;
305
306 if (!strlen(toadd))
307 return 1;
308
309 savescr = scratch = dupstr(toadd);
310 for (slash = scratch + 1; *slash; slash++)
311 if (*slash == '-' &&
312 (tolower(*(slash - 1)) != 'e' ||
313 !strchr(".0123456789", *(slash + 1))))
314 *slash = ' ';
315 slash = strchr(scratch, '/');
316 if (slash)
317 *slash = 0;
318 doingtop = 1;
319 do {
320 item = strtok(scratch, " *\t\n/");
321 while (item) {
322 if (strchr("0123456789.", *item)) { /* item is a number */
323 double num, offsetnum;
324
325 if (quantity)
326 theunit->quantity = 1;
327
328 offset = strchr(item, '&');
329 if (offset) {
330 *offset = 0;
331 offsetnum = atof(offset+1);
332 } else
333 offsetnum = 0.0;
334
335 divider = strchr(item, '|');
336 if (divider) {
337 *divider = 0;
338 num = atof(item);
339 if (!num) {
340 zeroerror();
341 return 1;
342 }
343 if (doingtop ^ flip) {
344 theunit->factor *= num;
345 theunit->offset *= num;
346 } else {
347 theunit->factor /= num;
348 theunit->offset /= num;
349 }
350 num = atof(divider + 1);
351 if (!num) {
352 zeroerror();
353 return 1;
354 }
355 if (doingtop ^ flip) {
356 theunit->factor /= num;
357 theunit->offset /= num;
358 } else {
359 theunit->factor *= num;
360 theunit->offset *= num;
361 }
362 }
363 else {
364 num = atof(item);
365 if (!num) {
366 zeroerror();
367 return 1;
368 }
369 if (doingtop ^ flip) {
370 theunit->factor *= num;
371 theunit->offset *= num;
372 } else {
373 theunit->factor /= num;
374 theunit->offset /= num;
375 }
376 }
377 if (doingtop ^ flip)
378 theunit->offset += offsetnum;
379 }
380 else { /* item is not a number */
381 int repeat = 1;
382
383 if (strchr("23456789",
384 item[strlen(item) - 1])) {
385 repeat = item[strlen(item) - 1] - '0';
386 item[strlen(item) - 1] = 0;
387 }
388 for (; repeat; repeat--)
389 if (addsubunit(doingtop ^ flip ? theunit->numerator : theunit->denominator, item))
390 return 1;
391 }
392 item = strtok(NULL, " *\t/\n");
393 }
394 doingtop--;
395 if (slash) {
396 scratch = slash + 1;
397 }
398 else
399 doingtop--;
400 } while (doingtop >= 0);
401 free(savescr);
402 return 0;
403 }
404
405
406 int
407 compare(const void *item1, const void *item2)
408 {
409 return strcmp(*(const char * const *)item1, *(const char * const *)item2);
410 }
411
412
413 void
414 sortunit(struct unittype * theunit)
415 {
416 char **ptr;
417 unsigned int count;
418
419 for (count = 0, ptr = theunit->numerator; *ptr; ptr++, count++);
420 qsort(theunit->numerator, count, sizeof(char *), compare);
421 for (count = 0, ptr = theunit->denominator; *ptr; ptr++, count++);
422 qsort(theunit->denominator, count, sizeof(char *), compare);
423 }
424
425
426 void
427 cancelunit(struct unittype * theunit)
428 {
429 char **den, **num;
430 int comp;
431
432 den = theunit->denominator;
433 num = theunit->numerator;
434
435 while (*num && *den) {
436 comp = strcmp(*den, *num);
437 if (!comp) {
438 /* if (*den!=NULLUNIT) free(*den);
439 if (*num!=NULLUNIT) free(*num);*/
440 *den++ = NULLUNIT;
441 *num++ = NULLUNIT;
442 }
443 else if (comp < 0)
444 den++;
445 else
446 num++;
447 }
448 }
449
450
451
452
453 /*
454 Looks up the definition for the specified unit.
455 Returns a pointer to the definition or a null pointer
456 if the specified unit does not appear in the units table.
457 */
458
459 static char buffer[100]; /* buffer for lookupunit answers with
460 prefixes */
461
462 char *
463 lookupunit(const char *unit)
464 {
465 int i;
466 char *copy;
467
468 for (i = 0; i < unitcount; i++) {
469 if (!strcmp(unittable[i].uname, unit))
470 return unittable[i].uval;
471 }
472
473 if (unit[strlen(unit) - 1] == '^') {
474 copy = dupstr(unit);
475 copy[strlen(copy) - 1] = 0;
476 for (i = 0; i < unitcount; i++) {
477 if (!strcmp(unittable[i].uname, copy)) {
478 strlcpy(buffer, copy, sizeof(buffer));
479 free(copy);
480 return buffer;
481 }
482 }
483 free(copy);
484 }
485 if (unit[strlen(unit) - 1] == 's') {
486 copy = dupstr(unit);
487 copy[strlen(copy) - 1] = 0;
488 for (i = 0; i < unitcount; i++) {
489 if (!strcmp(unittable[i].uname, copy)) {
490 strlcpy(buffer, copy, sizeof(buffer));
491 free(copy);
492 return buffer;
493 }
494 }
495 if (copy[strlen(copy) - 1] == 'e') {
496 copy[strlen(copy) - 1] = 0;
497 for (i = 0; i < unitcount; i++) {
498 if (!strcmp(unittable[i].uname, copy)) {
499 strlcpy(buffer, copy, sizeof(buffer));
500 free(copy);
501 return buffer;
502 }
503 }
504 }
505 free(copy);
506 }
507 for (i = 0; i < prefixcount; i++) {
508 size_t len = strlen(prefixtable[i].prefixname);
509 if (len && !strncmp(prefixtable[i].prefixname, unit, len)) {
510 if (!strlen(unit + len) || lookupunit(unit + len)) {
511 snprintf(buffer, sizeof(buffer), "%s %s",
512 prefixtable[i].prefixval, unit + len);
513 return buffer;
514 }
515 }
516 }
517 return 0;
518 }
519
520
521
522 /*
523 reduces a product of symbolic units to primitive units.
524 The three low bits are used to return flags:
525
526 bit 0 (1) set on if reductions were performed without error.
527 bit 1 (2) set on if no reductions are performed.
528 bit 2 (4) set on if an unknown unit is discovered.
529 */
530
531
532 #define ERROR 4
533
534 int
535 reduceproduct(struct unittype * theunit, int flip)
536 {
537
538 char *toadd;
539 char **product;
540 int didsomething = 2;
541
542 if (flip)
543 product = theunit->denominator;
544 else
545 product = theunit->numerator;
546
547 for (; *product; product++) {
548
549 for (;;) {
550 if (!strlen(*product))
551 break;
552 toadd = lookupunit(*product);
553 if (!toadd) {
554 printf("unknown unit '%s'\n", *product);
555 return ERROR;
556 }
557 if (strchr(toadd, PRIMITIVECHAR))
558 break;
559 didsomething = 1;
560 if (*product != NULLUNIT) {
561 free(*product);
562 *product = NULLUNIT;
563 }
564 if (addunit(theunit, toadd, flip, 0))
565 return ERROR;
566 }
567 }
568 return didsomething;
569 }
570
571
572 /*
573 Reduces numerator and denominator of the specified unit.
574 Returns 0 on success, or 1 on unknown unit error.
575 */
576
577 int
578 reduceunit(struct unittype * theunit)
579 {
580 int ret;
581
582 ret = 1;
583 while (ret & 1) {
584 ret = reduceproduct(theunit, 0) | reduceproduct(theunit, 1);
585 if (ret & 4)
586 return 1;
587 }
588 return 0;
589 }
590
591
592 int
593 compareproducts(char **one, char **two)
594 {
595 while (*one || *two) {
596 if (!*one && *two != NULLUNIT)
597 return 1;
598 if (!*two && *one != NULLUNIT)
599 return 1;
600 if (*one == NULLUNIT)
601 one++;
602 else if (*two == NULLUNIT)
603 two++;
604 else if (strcmp(*one, *two))
605 return 1;
606 else
607 one++, two++;
608 }
609 return 0;
610 }
611
612
613 /* Return zero if units are compatible, nonzero otherwise */
614
615 int
616 compareunits(struct unittype * first, struct unittype * second)
617 {
618 return
619 compareproducts(first->numerator, second->numerator) ||
620 compareproducts(first->denominator, second->denominator);
621 }
622
623
624 int
625 completereduce(struct unittype * unit)
626 {
627 if (reduceunit(unit))
628 return 1;
629 sortunit(unit);
630 cancelunit(unit);
631 return 0;
632 }
633
634
635 void
636 showanswer(struct unittype * have, struct unittype * want)
637 {
638 if (compareunits(have, want)) {
639 printf("conformability error\n");
640 showunit(have);
641 showunit(want);
642 }
643 else if (have->offset != want->offset) {
644 if (want->quantity)
645 printf("WARNING: conversion of non-proportional quantities.\n");
646 printf("\t");
647 if (have->quantity)
648 printf("%.8g\n",
649 (have->factor + have->offset-want->offset)/want->factor);
650 else
651 printf(" (-> x*%.8g %+.8g)\n\t (<- y*%.8g %+.8g)\n",
652 have->factor / want->factor,
653 (have->offset-want->offset)/want->factor,
654 want->factor / have->factor,
655 (want->offset - have->offset)/have->factor);
656 }
657 else
658 printf("\t* %.8g\n\t/ %.8g\n", have->factor / want->factor,
659 want->factor / have->factor);
660 }
661
662
663 void
664 usage(void)
665 {
666 fprintf(stderr,
667 "usage: units [-f unitsfile] [-q] [-v] [from-unit to-unit]\n");
668 exit(3);
669 }
670
671
672 int
673 main(int argc, char **argv)
674 {
675
676 struct unittype have, want;
677 char havestr[81], wantstr[81];
678 int optchar;
679 char *userfile = 0;
680 int quiet = 0;
681
682 while ((optchar = getopt(argc, argv, "vqf:")) != -1) {
683 switch (optchar) {
684 case 'f':
685 userfile = optarg;
686 break;
687 case 'q':
688 quiet = 1;
689 break;
690 case 'v':
691 fprintf(stderr, "\n units version %s Copyright (c) 1993 by Adrian Mariano\n",
692 VERSION);
693 fprintf(stderr, " This program may be freely distributed\n");
694 usage();
695 default:
696 usage();
697 break;
698 }
699 }
700
701 if (optind != argc - 2 && optind != argc)
702 usage();
703
704 readunits(userfile);
705
706 if (optind == argc - 2) {
707 strlcpy(havestr, argv[optind], sizeof(havestr));
708 strlcpy(wantstr, argv[optind + 1], sizeof(wantstr));
709 initializeunit(&have);
710 addunit(&have, havestr, 0, 1);
711 completereduce(&have);
712 initializeunit(&want);
713 addunit(&want, wantstr, 0, 1);
714 completereduce(&want);
715 showanswer(&have, &want);
716 }
717 else {
718 if (!quiet)
719 printf("%d units, %d prefixes\n", unitcount,
720 prefixcount);
721 for (;;) {
722 do {
723 initializeunit(&have);
724 if (!quiet)
725 printf("You have: ");
726 if (!fgets(havestr, sizeof(havestr), stdin)) {
727 if (!quiet)
728 putchar('\n');
729 exit(0);
730 }
731 } while (addunit(&have, havestr, 0, 1) ||
732 completereduce(&have));
733 do {
734 initializeunit(&want);
735 if (!quiet)
736 printf("You want: ");
737 if (!fgets(wantstr, sizeof(wantstr), stdin)) {
738 if (!quiet)
739 putchar('\n');
740 exit(0);
741 }
742 } while (addunit(&want, wantstr, 0, 1) ||
743 completereduce(&want));
744 showanswer(&have, &want);
745 }
746 }
747
748 return(0);
749 }