1 |
greg |
1.1 |
#ifndef lint |
2 |
greg |
2.20 |
static const char RCSid[] = "$Id: calfunc.c,v 2.19 2019/03/04 18:16:18 greg Exp $"; |
3 |
greg |
1.1 |
#endif |
4 |
|
|
/* |
5 |
|
|
* calfunc.c - routines for calcomp using functions. |
6 |
|
|
* |
7 |
greg |
2.8 |
* If VARIABLE is not set, only library functions |
8 |
|
|
* can be accessed. |
9 |
|
|
* |
10 |
|
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* 2/19/03 Eliminated conditional compiles in favor of esupport extern. |
11 |
|
|
*/ |
12 |
|
|
|
13 |
greg |
2.9 |
#include "copyright.h" |
14 |
greg |
1.1 |
|
15 |
|
|
#include <stdio.h> |
16 |
schorsch |
2.11 |
#include <string.h> |
17 |
greg |
1.1 |
#include <errno.h> |
18 |
greg |
2.5 |
#include <math.h> |
19 |
|
|
|
20 |
schorsch |
2.12 |
#include "rterror.h" |
21 |
greg |
1.1 |
#include "calcomp.h" |
22 |
|
|
|
23 |
greg |
1.5 |
/* bits in argument flag (better be right!) */ |
24 |
|
|
#define AFLAGSIZ (8*sizeof(unsigned long)) |
25 |
greg |
2.19 |
#define ALISTSIZ 8 /* maximum saved argument list */ |
26 |
greg |
1.1 |
|
27 |
|
|
typedef struct activation { |
28 |
|
|
char *name; /* function name */ |
29 |
|
|
struct activation *prev; /* previous activation */ |
30 |
|
|
double *ap; /* argument list */ |
31 |
|
|
unsigned long an; /* computed argument flags */ |
32 |
|
|
EPNODE *fun; /* argument function */ |
33 |
|
|
} ACTIVATION; /* an activation record */ |
34 |
|
|
|
35 |
|
|
static ACTIVATION *curact = NULL; |
36 |
|
|
|
37 |
schorsch |
2.12 |
static double libfunc(char *fname, VARDEF *vp); |
38 |
greg |
1.1 |
|
39 |
greg |
2.8 |
#ifndef MAXLIB |
40 |
greg |
1.1 |
#define MAXLIB 64 /* maximum number of library functions */ |
41 |
greg |
2.8 |
#endif |
42 |
greg |
1.1 |
|
43 |
greg |
2.13 |
static double l_if(char *), l_select(char *), l_rand(char *); |
44 |
|
|
static double l_floor(char *), l_ceil(char *); |
45 |
|
|
static double l_sqrt(char *); |
46 |
|
|
static double l_sin(char *), l_cos(char *), l_tan(char *); |
47 |
|
|
static double l_asin(char *), l_acos(char *), l_atan(char *), l_atan2(char *); |
48 |
|
|
static double l_exp(char *), l_log(char *), l_log10(char *); |
49 |
greg |
1.1 |
|
50 |
|
|
/* functions must be listed alphabetically */ |
51 |
|
|
static LIBR library[MAXLIB] = { |
52 |
greg |
1.4 |
{ "acos", 1, ':', l_acos }, |
53 |
|
|
{ "asin", 1, ':', l_asin }, |
54 |
|
|
{ "atan", 1, ':', l_atan }, |
55 |
|
|
{ "atan2", 2, ':', l_atan2 }, |
56 |
|
|
{ "ceil", 1, ':', l_ceil }, |
57 |
|
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{ "cos", 1, ':', l_cos }, |
58 |
|
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{ "exp", 1, ':', l_exp }, |
59 |
|
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{ "floor", 1, ':', l_floor }, |
60 |
|
|
{ "if", 3, ':', l_if }, |
61 |
|
|
{ "log", 1, ':', l_log }, |
62 |
|
|
{ "log10", 1, ':', l_log10 }, |
63 |
|
|
{ "rand", 1, ':', l_rand }, |
64 |
|
|
{ "select", 1, ':', l_select }, |
65 |
|
|
{ "sin", 1, ':', l_sin }, |
66 |
|
|
{ "sqrt", 1, ':', l_sqrt }, |
67 |
|
|
{ "tan", 1, ':', l_tan }, |
68 |
greg |
1.1 |
}; |
69 |
|
|
|
70 |
|
|
static int libsize = 16; |
71 |
|
|
|
72 |
|
|
#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
73 |
|
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|
74 |
|
|
|
75 |
|
|
int |
76 |
greg |
2.16 |
fundefined( /* return # of arguments for function */ |
77 |
|
|
char *fname |
78 |
|
|
) |
79 |
greg |
1.1 |
{ |
80 |
greg |
2.16 |
LIBR *lp; |
81 |
|
|
VARDEF *vp; |
82 |
greg |
1.1 |
|
83 |
greg |
2.7 |
if ((vp = varlookup(fname)) != NULL && vp->def != NULL |
84 |
|
|
&& vp->def->v.kid->type == FUNC) |
85 |
greg |
1.1 |
return(nekids(vp->def->v.kid) - 1); |
86 |
greg |
2.7 |
lp = vp != NULL ? vp->lib : liblookup(fname); |
87 |
|
|
if (lp == NULL) |
88 |
|
|
return(0); |
89 |
|
|
return(lp->nargs); |
90 |
greg |
1.1 |
} |
91 |
|
|
|
92 |
|
|
|
93 |
|
|
double |
94 |
greg |
2.16 |
funvalue( /* return a function value to the user */ |
95 |
|
|
char *fname, |
96 |
|
|
int n, |
97 |
|
|
double *a |
98 |
|
|
) |
99 |
greg |
1.1 |
{ |
100 |
|
|
ACTIVATION act; |
101 |
greg |
2.16 |
VARDEF *vp; |
102 |
greg |
1.1 |
double rval; |
103 |
|
|
/* push environment */ |
104 |
|
|
act.name = fname; |
105 |
|
|
act.prev = curact; |
106 |
|
|
act.ap = a; |
107 |
greg |
2.19 |
if (n < AFLAGSIZ) |
108 |
|
|
act.an = (1L<<n)-1; |
109 |
|
|
else { |
110 |
greg |
1.5 |
act.an = ~0; |
111 |
greg |
2.19 |
if (n > AFLAGSIZ) |
112 |
|
|
wputs("Excess arguments in funvalue()\n"); |
113 |
|
|
} |
114 |
greg |
1.1 |
act.fun = NULL; |
115 |
|
|
curact = &act; |
116 |
|
|
|
117 |
|
|
if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
118 |
|
|
|| vp->def->v.kid->type != FUNC) |
119 |
|
|
rval = libfunc(fname, vp); |
120 |
|
|
else |
121 |
|
|
rval = evalue(vp->def->v.kid->sibling); |
122 |
|
|
|
123 |
|
|
curact = act.prev; /* pop environment */ |
124 |
|
|
return(rval); |
125 |
|
|
} |
126 |
|
|
|
127 |
|
|
|
128 |
greg |
2.8 |
void |
129 |
greg |
2.16 |
funset( /* set a library function */ |
130 |
|
|
char *fname, |
131 |
|
|
int nargs, |
132 |
|
|
int assign, |
133 |
|
|
double (*fptr)(char *) |
134 |
|
|
) |
135 |
greg |
1.1 |
{ |
136 |
greg |
2.6 |
int oldlibsize = libsize; |
137 |
greg |
2.8 |
char *cp; |
138 |
greg |
2.16 |
LIBR *lp; |
139 |
greg |
2.8 |
/* check for context */ |
140 |
|
|
for (cp = fname; *cp; cp++) |
141 |
|
|
; |
142 |
|
|
if (cp == fname) |
143 |
|
|
return; |
144 |
|
|
if (cp[-1] == CNTXMARK) |
145 |
|
|
*--cp = '\0'; |
146 |
greg |
2.2 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
147 |
greg |
1.1 |
if (libsize >= MAXLIB) { |
148 |
|
|
eputs("Too many library functons!\n"); |
149 |
|
|
quit(1); |
150 |
|
|
} |
151 |
|
|
for (lp = &library[libsize]; lp > library; lp--) |
152 |
greg |
2.17 |
if (strcmp(lp[-1].fname, fname) > 0) |
153 |
|
|
lp[0] = lp[-1]; |
154 |
|
|
else |
155 |
greg |
1.1 |
break; |
156 |
|
|
libsize++; |
157 |
|
|
} |
158 |
greg |
2.2 |
if (fptr == NULL) { /* delete */ |
159 |
|
|
while (lp < &library[libsize-1]) { |
160 |
greg |
2.17 |
lp[0] = lp[1]; |
161 |
greg |
2.2 |
lp++; |
162 |
|
|
} |
163 |
|
|
libsize--; |
164 |
|
|
} else { /* or assign */ |
165 |
|
|
lp[0].fname = fname; /* string must be static! */ |
166 |
|
|
lp[0].nargs = nargs; |
167 |
|
|
lp[0].atyp = assign; |
168 |
|
|
lp[0].f = fptr; |
169 |
|
|
} |
170 |
greg |
2.6 |
if (libsize != oldlibsize) |
171 |
|
|
libupdate(fname); /* relink library */ |
172 |
greg |
1.1 |
} |
173 |
|
|
|
174 |
|
|
|
175 |
|
|
int |
176 |
greg |
2.16 |
nargum(void) /* return number of available arguments */ |
177 |
greg |
1.1 |
{ |
178 |
greg |
2.16 |
int n; |
179 |
greg |
1.1 |
|
180 |
|
|
if (curact == NULL) |
181 |
|
|
return(0); |
182 |
|
|
if (curact->fun == NULL) { |
183 |
|
|
for (n = 0; (1L<<n) & curact->an; n++) |
184 |
|
|
; |
185 |
|
|
return(n); |
186 |
|
|
} |
187 |
|
|
return(nekids(curact->fun) - 1); |
188 |
|
|
} |
189 |
|
|
|
190 |
|
|
|
191 |
|
|
double |
192 |
greg |
2.16 |
argument(int n) /* return nth argument for active function */ |
193 |
greg |
1.1 |
{ |
194 |
greg |
2.16 |
ACTIVATION *actp = curact; |
195 |
|
|
EPNODE *ep = NULL; |
196 |
greg |
1.1 |
double aval; |
197 |
|
|
|
198 |
greg |
2.19 |
if (!actp | (--n < 0)) { |
199 |
greg |
1.1 |
eputs("Bad call to argument!\n"); |
200 |
|
|
quit(1); |
201 |
|
|
} |
202 |
greg |
2.20 |
if ((n < AFLAGSIZ) & actp->an >> n) /* already computed? */ |
203 |
greg |
1.1 |
return(actp->ap[n]); |
204 |
|
|
|
205 |
greg |
2.19 |
if (!actp->fun || !(ep = ekid(actp->fun, n+1))) { |
206 |
greg |
1.1 |
eputs(actp->name); |
207 |
|
|
eputs(": too few arguments\n"); |
208 |
|
|
quit(1); |
209 |
|
|
} |
210 |
greg |
2.19 |
curact = actp->prev; /* previous context */ |
211 |
greg |
1.1 |
aval = evalue(ep); /* compute argument */ |
212 |
greg |
2.20 |
curact = actp; /* put back calling context */ |
213 |
|
|
if (n < ALISTSIZ) { /* save value if room */ |
214 |
greg |
1.1 |
actp->ap[n] = aval; |
215 |
|
|
actp->an |= 1L<<n; |
216 |
|
|
} |
217 |
|
|
return(aval); |
218 |
|
|
} |
219 |
|
|
|
220 |
|
|
|
221 |
|
|
VARDEF * |
222 |
greg |
2.16 |
argf(int n) /* return function def for nth argument */ |
223 |
greg |
1.1 |
{ |
224 |
greg |
2.16 |
ACTIVATION *actp; |
225 |
|
|
EPNODE *ep; |
226 |
greg |
1.1 |
|
227 |
|
|
for (actp = curact; actp != NULL; actp = actp->prev) { |
228 |
|
|
|
229 |
|
|
if (n <= 0) |
230 |
|
|
break; |
231 |
|
|
|
232 |
|
|
if (actp->fun == NULL) |
233 |
|
|
goto badarg; |
234 |
|
|
|
235 |
|
|
if ((ep = ekid(actp->fun, n)) == NULL) { |
236 |
|
|
eputs(actp->name); |
237 |
|
|
eputs(": too few arguments\n"); |
238 |
|
|
quit(1); |
239 |
|
|
} |
240 |
|
|
if (ep->type == VAR) |
241 |
|
|
return(ep->v.ln); /* found it */ |
242 |
|
|
|
243 |
|
|
if (ep->type != ARG) |
244 |
|
|
goto badarg; |
245 |
|
|
|
246 |
|
|
n = ep->v.chan; /* try previous context */ |
247 |
|
|
} |
248 |
|
|
eputs("Bad call to argf!\n"); |
249 |
|
|
quit(1); |
250 |
|
|
|
251 |
|
|
badarg: |
252 |
|
|
eputs(actp->name); |
253 |
|
|
eputs(": argument not a function\n"); |
254 |
|
|
quit(1); |
255 |
schorsch |
2.11 |
return NULL; /* pro forma return */ |
256 |
greg |
1.1 |
} |
257 |
|
|
|
258 |
|
|
|
259 |
|
|
char * |
260 |
greg |
2.16 |
argfun(int n) /* return function name for nth argument */ |
261 |
greg |
1.1 |
{ |
262 |
|
|
return(argf(n)->name); |
263 |
|
|
} |
264 |
|
|
|
265 |
|
|
|
266 |
|
|
double |
267 |
greg |
2.16 |
efunc(EPNODE *ep) /* evaluate a function */ |
268 |
greg |
1.1 |
{ |
269 |
|
|
ACTIVATION act; |
270 |
|
|
double alist[ALISTSIZ]; |
271 |
|
|
double rval; |
272 |
greg |
2.16 |
VARDEF *dp; |
273 |
greg |
1.1 |
/* push environment */ |
274 |
|
|
dp = resolve(ep->v.kid); |
275 |
|
|
act.name = dp->name; |
276 |
|
|
act.prev = curact; |
277 |
|
|
act.ap = alist; |
278 |
|
|
act.an = 0; |
279 |
|
|
act.fun = ep; |
280 |
|
|
curact = &act; |
281 |
|
|
|
282 |
|
|
if (dp->def == NULL || dp->def->v.kid->type != FUNC) |
283 |
|
|
rval = libfunc(act.name, dp); |
284 |
|
|
else |
285 |
|
|
rval = evalue(dp->def->v.kid->sibling); |
286 |
|
|
|
287 |
|
|
curact = act.prev; /* pop environment */ |
288 |
|
|
return(rval); |
289 |
|
|
} |
290 |
|
|
|
291 |
|
|
|
292 |
|
|
LIBR * |
293 |
greg |
2.16 |
liblookup(char *fname) /* look up a library function */ |
294 |
greg |
1.1 |
{ |
295 |
|
|
int upper, lower; |
296 |
greg |
2.16 |
int cm, i; |
297 |
greg |
1.1 |
|
298 |
|
|
lower = 0; |
299 |
|
|
upper = cm = libsize; |
300 |
|
|
|
301 |
|
|
while ((i = (lower + upper) >> 1) != cm) { |
302 |
|
|
cm = strcmp(fname, library[i].fname); |
303 |
|
|
if (cm > 0) |
304 |
|
|
lower = i; |
305 |
|
|
else if (cm < 0) |
306 |
|
|
upper = i; |
307 |
|
|
else |
308 |
|
|
return(&library[i]); |
309 |
|
|
cm = i; |
310 |
|
|
} |
311 |
|
|
return(NULL); |
312 |
|
|
} |
313 |
|
|
|
314 |
|
|
|
315 |
|
|
/* |
316 |
|
|
* The following routines are for internal use: |
317 |
|
|
*/ |
318 |
|
|
|
319 |
|
|
|
320 |
|
|
static double |
321 |
greg |
2.16 |
libfunc( /* execute library function */ |
322 |
|
|
char *fname, |
323 |
|
|
VARDEF *vp |
324 |
|
|
) |
325 |
greg |
1.1 |
{ |
326 |
greg |
2.16 |
LIBR *lp; |
327 |
greg |
1.1 |
double d; |
328 |
|
|
int lasterrno; |
329 |
|
|
|
330 |
greg |
2.3 |
if (vp != NULL) |
331 |
|
|
lp = vp->lib; |
332 |
|
|
else |
333 |
|
|
lp = liblookup(fname); |
334 |
|
|
if (lp == NULL) { |
335 |
greg |
1.1 |
eputs(fname); |
336 |
|
|
eputs(": undefined function\n"); |
337 |
|
|
quit(1); |
338 |
|
|
} |
339 |
|
|
lasterrno = errno; |
340 |
|
|
errno = 0; |
341 |
greg |
2.3 |
d = (*lp->f)(lp->fname); |
342 |
greg |
2.15 |
#ifdef isnan |
343 |
greg |
2.18 |
if (errno == 0) { |
344 |
greg |
1.9 |
if (isnan(d)) |
345 |
|
|
errno = EDOM; |
346 |
|
|
else if (isinf(d)) |
347 |
|
|
errno = ERANGE; |
348 |
greg |
2.18 |
} |
349 |
greg |
1.1 |
#endif |
350 |
greg |
2.10 |
if (errno == EDOM || errno == ERANGE) { |
351 |
greg |
1.1 |
wputs(fname); |
352 |
greg |
1.8 |
if (errno == EDOM) |
353 |
|
|
wputs(": domain error\n"); |
354 |
|
|
else if (errno == ERANGE) |
355 |
|
|
wputs(": range error\n"); |
356 |
|
|
else |
357 |
|
|
wputs(": error in call\n"); |
358 |
greg |
1.1 |
return(0.0); |
359 |
|
|
} |
360 |
|
|
errno = lasterrno; |
361 |
|
|
return(d); |
362 |
|
|
} |
363 |
|
|
|
364 |
|
|
|
365 |
|
|
/* |
366 |
|
|
* Library functions: |
367 |
|
|
*/ |
368 |
|
|
|
369 |
|
|
|
370 |
|
|
static double |
371 |
greg |
2.13 |
l_if(char *nm) /* if(cond, then, else) conditional expression */ |
372 |
greg |
1.1 |
/* cond evaluates true if greater than zero */ |
373 |
|
|
{ |
374 |
|
|
if (argument(1) > 0.0) |
375 |
|
|
return(argument(2)); |
376 |
|
|
else |
377 |
|
|
return(argument(3)); |
378 |
|
|
} |
379 |
|
|
|
380 |
|
|
|
381 |
|
|
static double |
382 |
greg |
2.13 |
l_select(char *nm) /* return argument #(A1+1) */ |
383 |
greg |
1.1 |
{ |
384 |
greg |
2.16 |
int n; |
385 |
greg |
1.1 |
|
386 |
schorsch |
2.11 |
n = (int)(argument(1) + .5); |
387 |
greg |
1.1 |
if (n == 0) |
388 |
|
|
return(nargum()-1); |
389 |
|
|
if (n < 1 || n > nargum()-1) { |
390 |
|
|
errno = EDOM; |
391 |
|
|
return(0.0); |
392 |
|
|
} |
393 |
|
|
return(argument(n+1)); |
394 |
|
|
} |
395 |
|
|
|
396 |
|
|
|
397 |
|
|
static double |
398 |
greg |
2.13 |
l_rand(char *nm) /* random function between 0 and 1 */ |
399 |
greg |
1.1 |
{ |
400 |
|
|
double x; |
401 |
|
|
|
402 |
|
|
x = argument(1); |
403 |
|
|
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
404 |
|
|
x += .785398163397447 - floor(x); |
405 |
|
|
x = 1e5 / x; |
406 |
|
|
return(x - floor(x)); |
407 |
|
|
} |
408 |
|
|
|
409 |
|
|
|
410 |
|
|
static double |
411 |
greg |
2.13 |
l_floor(char *nm) /* return largest integer not greater than arg1 */ |
412 |
greg |
1.1 |
{ |
413 |
|
|
return(floor(argument(1))); |
414 |
|
|
} |
415 |
|
|
|
416 |
|
|
|
417 |
|
|
static double |
418 |
greg |
2.13 |
l_ceil(char *nm) /* return smallest integer not less than arg1 */ |
419 |
greg |
1.1 |
{ |
420 |
|
|
return(ceil(argument(1))); |
421 |
|
|
} |
422 |
|
|
|
423 |
|
|
|
424 |
|
|
static double |
425 |
greg |
2.13 |
l_sqrt(char *nm) |
426 |
greg |
1.1 |
{ |
427 |
|
|
return(sqrt(argument(1))); |
428 |
|
|
} |
429 |
|
|
|
430 |
|
|
|
431 |
|
|
static double |
432 |
greg |
2.13 |
l_sin(char *nm) |
433 |
greg |
1.1 |
{ |
434 |
|
|
return(sin(argument(1))); |
435 |
|
|
} |
436 |
|
|
|
437 |
|
|
|
438 |
|
|
static double |
439 |
greg |
2.13 |
l_cos(char *nm) |
440 |
greg |
1.1 |
{ |
441 |
|
|
return(cos(argument(1))); |
442 |
|
|
} |
443 |
|
|
|
444 |
|
|
|
445 |
|
|
static double |
446 |
greg |
2.13 |
l_tan(char *nm) |
447 |
greg |
1.1 |
{ |
448 |
|
|
return(tan(argument(1))); |
449 |
|
|
} |
450 |
|
|
|
451 |
|
|
|
452 |
|
|
static double |
453 |
greg |
2.13 |
l_asin(char *nm) |
454 |
greg |
1.1 |
{ |
455 |
|
|
return(asin(argument(1))); |
456 |
|
|
} |
457 |
|
|
|
458 |
|
|
|
459 |
|
|
static double |
460 |
greg |
2.13 |
l_acos(char *nm) |
461 |
greg |
1.1 |
{ |
462 |
|
|
return(acos(argument(1))); |
463 |
|
|
} |
464 |
|
|
|
465 |
|
|
|
466 |
|
|
static double |
467 |
greg |
2.13 |
l_atan(char *nm) |
468 |
greg |
1.1 |
{ |
469 |
|
|
return(atan(argument(1))); |
470 |
|
|
} |
471 |
|
|
|
472 |
|
|
|
473 |
|
|
static double |
474 |
greg |
2.13 |
l_atan2(char *nm) |
475 |
greg |
1.1 |
{ |
476 |
|
|
return(atan2(argument(1), argument(2))); |
477 |
|
|
} |
478 |
|
|
|
479 |
|
|
|
480 |
|
|
static double |
481 |
greg |
2.13 |
l_exp(char *nm) |
482 |
greg |
1.1 |
{ |
483 |
|
|
return(exp(argument(1))); |
484 |
|
|
} |
485 |
|
|
|
486 |
|
|
|
487 |
|
|
static double |
488 |
greg |
2.13 |
l_log(char *nm) |
489 |
greg |
1.1 |
{ |
490 |
|
|
return(log(argument(1))); |
491 |
|
|
} |
492 |
|
|
|
493 |
|
|
|
494 |
|
|
static double |
495 |
greg |
2.13 |
l_log10(char *nm) |
496 |
greg |
1.1 |
{ |
497 |
|
|
return(log10(argument(1))); |
498 |
|
|
} |