1 |
greg |
1.1 |
#ifndef lint |
2 |
schorsch |
2.11 |
static const char RCSid[] = "$Id: calfunc.c,v 2.10 2003/03/05 16:16:52 greg Exp $"; |
3 |
greg |
1.1 |
#endif |
4 |
|
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/* |
5 |
|
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* calfunc.c - routines for calcomp using functions. |
6 |
|
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* |
7 |
greg |
2.8 |
* If VARIABLE is not set, only library functions |
8 |
|
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* can be accessed. |
9 |
|
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* |
10 |
|
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* 2/19/03 Eliminated conditional compiles in favor of esupport extern. |
11 |
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*/ |
12 |
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13 |
greg |
2.9 |
#include "copyright.h" |
14 |
greg |
1.1 |
|
15 |
|
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#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 |
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|
20 |
greg |
1.1 |
#include "calcomp.h" |
21 |
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|
22 |
greg |
1.5 |
/* bits in argument flag (better be right!) */ |
23 |
|
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#define AFLAGSIZ (8*sizeof(unsigned long)) |
24 |
greg |
1.1 |
#define ALISTSIZ 6 /* maximum saved argument list */ |
25 |
|
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|
26 |
|
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typedef struct activation { |
27 |
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char *name; /* function name */ |
28 |
|
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struct activation *prev; /* previous activation */ |
29 |
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double *ap; /* argument list */ |
30 |
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unsigned long an; /* computed argument flags */ |
31 |
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EPNODE *fun; /* argument function */ |
32 |
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} ACTIVATION; /* an activation record */ |
33 |
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|
34 |
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static ACTIVATION *curact = NULL; |
35 |
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|
36 |
greg |
1.2 |
static double libfunc(); |
37 |
greg |
1.1 |
|
38 |
greg |
2.8 |
#ifndef MAXLIB |
39 |
greg |
1.1 |
#define MAXLIB 64 /* maximum number of library functions */ |
40 |
greg |
2.8 |
#endif |
41 |
greg |
1.1 |
|
42 |
greg |
1.2 |
static double l_if(), l_select(), l_rand(); |
43 |
|
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static double l_floor(), l_ceil(); |
44 |
|
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static double l_sqrt(); |
45 |
|
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static double l_sin(), l_cos(), l_tan(); |
46 |
|
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static double l_asin(), l_acos(), l_atan(), l_atan2(); |
47 |
|
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static double l_exp(), l_log(), l_log10(); |
48 |
greg |
1.1 |
|
49 |
|
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/* functions must be listed alphabetically */ |
50 |
|
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static LIBR library[MAXLIB] = { |
51 |
greg |
1.4 |
{ "acos", 1, ':', l_acos }, |
52 |
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{ "asin", 1, ':', l_asin }, |
53 |
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{ "atan", 1, ':', l_atan }, |
54 |
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{ "atan2", 2, ':', l_atan2 }, |
55 |
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{ "ceil", 1, ':', l_ceil }, |
56 |
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{ "cos", 1, ':', l_cos }, |
57 |
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{ "exp", 1, ':', l_exp }, |
58 |
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{ "floor", 1, ':', l_floor }, |
59 |
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{ "if", 3, ':', l_if }, |
60 |
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{ "log", 1, ':', l_log }, |
61 |
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{ "log10", 1, ':', l_log10 }, |
62 |
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{ "rand", 1, ':', l_rand }, |
63 |
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{ "select", 1, ':', l_select }, |
64 |
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{ "sin", 1, ':', l_sin }, |
65 |
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{ "sqrt", 1, ':', l_sqrt }, |
66 |
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{ "tan", 1, ':', l_tan }, |
67 |
greg |
1.1 |
}; |
68 |
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|
69 |
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static int libsize = 16; |
70 |
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71 |
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#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
72 |
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73 |
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74 |
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int |
75 |
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fundefined(fname) /* return # of arguments for function */ |
76 |
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char *fname; |
77 |
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{ |
78 |
greg |
2.7 |
register LIBR *lp; |
79 |
greg |
1.1 |
register VARDEF *vp; |
80 |
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|
81 |
greg |
2.7 |
if ((vp = varlookup(fname)) != NULL && vp->def != NULL |
82 |
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&& vp->def->v.kid->type == FUNC) |
83 |
greg |
1.1 |
return(nekids(vp->def->v.kid) - 1); |
84 |
greg |
2.7 |
lp = vp != NULL ? vp->lib : liblookup(fname); |
85 |
|
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if (lp == NULL) |
86 |
|
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return(0); |
87 |
|
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return(lp->nargs); |
88 |
greg |
1.1 |
} |
89 |
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|
90 |
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|
91 |
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double |
92 |
|
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funvalue(fname, n, a) /* return a function value to the user */ |
93 |
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char *fname; |
94 |
|
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int n; |
95 |
|
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double *a; |
96 |
|
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{ |
97 |
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ACTIVATION act; |
98 |
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register VARDEF *vp; |
99 |
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double rval; |
100 |
|
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/* push environment */ |
101 |
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act.name = fname; |
102 |
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act.prev = curact; |
103 |
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act.ap = a; |
104 |
greg |
1.5 |
if (n >= AFLAGSIZ) |
105 |
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act.an = ~0; |
106 |
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else |
107 |
|
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act.an = (1L<<n)-1; |
108 |
greg |
1.1 |
act.fun = NULL; |
109 |
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curact = &act; |
110 |
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|
111 |
|
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
112 |
|
|
|| vp->def->v.kid->type != FUNC) |
113 |
|
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rval = libfunc(fname, vp); |
114 |
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else |
115 |
|
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rval = evalue(vp->def->v.kid->sibling); |
116 |
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|
117 |
|
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curact = act.prev; /* pop environment */ |
118 |
|
|
return(rval); |
119 |
|
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} |
120 |
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|
121 |
|
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|
122 |
greg |
2.8 |
void |
123 |
greg |
1.4 |
funset(fname, nargs, assign, fptr) /* set a library function */ |
124 |
greg |
1.1 |
char *fname; |
125 |
|
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int nargs; |
126 |
greg |
1.4 |
int assign; |
127 |
greg |
1.1 |
double (*fptr)(); |
128 |
|
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{ |
129 |
greg |
2.6 |
int oldlibsize = libsize; |
130 |
greg |
2.8 |
char *cp; |
131 |
greg |
1.1 |
register LIBR *lp; |
132 |
greg |
2.8 |
/* check for context */ |
133 |
|
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for (cp = fname; *cp; cp++) |
134 |
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; |
135 |
|
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if (cp == fname) |
136 |
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return; |
137 |
|
|
if (cp[-1] == CNTXMARK) |
138 |
|
|
*--cp = '\0'; |
139 |
greg |
2.2 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
140 |
greg |
1.1 |
if (libsize >= MAXLIB) { |
141 |
|
|
eputs("Too many library functons!\n"); |
142 |
|
|
quit(1); |
143 |
|
|
} |
144 |
|
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for (lp = &library[libsize]; lp > library; lp--) |
145 |
|
|
if (strcmp(lp[-1].fname, fname) > 0) { |
146 |
|
|
lp[0].fname = lp[-1].fname; |
147 |
|
|
lp[0].nargs = lp[-1].nargs; |
148 |
greg |
1.4 |
lp[0].atyp = lp[-1].atyp; |
149 |
greg |
1.1 |
lp[0].f = lp[-1].f; |
150 |
|
|
} else |
151 |
|
|
break; |
152 |
|
|
libsize++; |
153 |
|
|
} |
154 |
greg |
2.2 |
if (fptr == NULL) { /* delete */ |
155 |
|
|
while (lp < &library[libsize-1]) { |
156 |
|
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lp[0].fname = lp[1].fname; |
157 |
|
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lp[0].nargs = lp[1].nargs; |
158 |
|
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lp[0].atyp = lp[1].atyp; |
159 |
|
|
lp[0].f = lp[1].f; |
160 |
|
|
lp++; |
161 |
|
|
} |
162 |
|
|
libsize--; |
163 |
|
|
} else { /* or assign */ |
164 |
|
|
lp[0].fname = fname; /* string must be static! */ |
165 |
|
|
lp[0].nargs = nargs; |
166 |
|
|
lp[0].atyp = assign; |
167 |
|
|
lp[0].f = fptr; |
168 |
|
|
} |
169 |
greg |
2.6 |
if (libsize != oldlibsize) |
170 |
|
|
libupdate(fname); /* relink library */ |
171 |
greg |
1.1 |
} |
172 |
|
|
|
173 |
|
|
|
174 |
|
|
int |
175 |
|
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nargum() /* return number of available arguments */ |
176 |
|
|
{ |
177 |
|
|
register int n; |
178 |
|
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|
179 |
|
|
if (curact == NULL) |
180 |
|
|
return(0); |
181 |
|
|
if (curact->fun == NULL) { |
182 |
|
|
for (n = 0; (1L<<n) & curact->an; n++) |
183 |
|
|
; |
184 |
|
|
return(n); |
185 |
|
|
} |
186 |
|
|
return(nekids(curact->fun) - 1); |
187 |
|
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} |
188 |
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|
189 |
|
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|
190 |
|
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double |
191 |
|
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argument(n) /* return nth argument for active function */ |
192 |
|
|
register int n; |
193 |
|
|
{ |
194 |
|
|
register ACTIVATION *actp = curact; |
195 |
greg |
1.7 |
register EPNODE *ep; |
196 |
greg |
1.1 |
double aval; |
197 |
|
|
|
198 |
|
|
if (actp == NULL || --n < 0) { |
199 |
|
|
eputs("Bad call to argument!\n"); |
200 |
|
|
quit(1); |
201 |
|
|
} |
202 |
|
|
/* already computed? */ |
203 |
greg |
1.5 |
if (n < AFLAGSIZ && 1L<<n & actp->an) |
204 |
greg |
1.1 |
return(actp->ap[n]); |
205 |
|
|
|
206 |
|
|
if (actp->fun == NULL || (ep = ekid(actp->fun, n+1)) == NULL) { |
207 |
|
|
eputs(actp->name); |
208 |
|
|
eputs(": too few arguments\n"); |
209 |
|
|
quit(1); |
210 |
|
|
} |
211 |
|
|
curact = actp->prev; /* pop environment */ |
212 |
|
|
aval = evalue(ep); /* compute argument */ |
213 |
|
|
curact = actp; /* push back environment */ |
214 |
|
|
if (n < ALISTSIZ) { /* save value */ |
215 |
|
|
actp->ap[n] = aval; |
216 |
|
|
actp->an |= 1L<<n; |
217 |
|
|
} |
218 |
|
|
return(aval); |
219 |
|
|
} |
220 |
|
|
|
221 |
|
|
|
222 |
|
|
VARDEF * |
223 |
|
|
argf(n) /* return function def for nth argument */ |
224 |
|
|
int n; |
225 |
|
|
{ |
226 |
|
|
register ACTIVATION *actp; |
227 |
|
|
register EPNODE *ep; |
228 |
|
|
|
229 |
|
|
for (actp = curact; actp != NULL; actp = actp->prev) { |
230 |
|
|
|
231 |
|
|
if (n <= 0) |
232 |
|
|
break; |
233 |
|
|
|
234 |
|
|
if (actp->fun == NULL) |
235 |
|
|
goto badarg; |
236 |
|
|
|
237 |
|
|
if ((ep = ekid(actp->fun, n)) == NULL) { |
238 |
|
|
eputs(actp->name); |
239 |
|
|
eputs(": too few arguments\n"); |
240 |
|
|
quit(1); |
241 |
|
|
} |
242 |
|
|
if (ep->type == VAR) |
243 |
|
|
return(ep->v.ln); /* found it */ |
244 |
|
|
|
245 |
|
|
if (ep->type != ARG) |
246 |
|
|
goto badarg; |
247 |
|
|
|
248 |
|
|
n = ep->v.chan; /* try previous context */ |
249 |
|
|
} |
250 |
|
|
eputs("Bad call to argf!\n"); |
251 |
|
|
quit(1); |
252 |
|
|
|
253 |
|
|
badarg: |
254 |
|
|
eputs(actp->name); |
255 |
|
|
eputs(": argument not a function\n"); |
256 |
|
|
quit(1); |
257 |
schorsch |
2.11 |
return NULL; /* pro forma return */ |
258 |
greg |
1.1 |
} |
259 |
|
|
|
260 |
|
|
|
261 |
|
|
char * |
262 |
|
|
argfun(n) /* return function name for nth argument */ |
263 |
|
|
int n; |
264 |
|
|
{ |
265 |
|
|
return(argf(n)->name); |
266 |
|
|
} |
267 |
|
|
|
268 |
|
|
|
269 |
|
|
double |
270 |
|
|
efunc(ep) /* evaluate a function */ |
271 |
|
|
register EPNODE *ep; |
272 |
|
|
{ |
273 |
|
|
ACTIVATION act; |
274 |
|
|
double alist[ALISTSIZ]; |
275 |
|
|
double rval; |
276 |
|
|
register VARDEF *dp; |
277 |
|
|
/* push environment */ |
278 |
|
|
dp = resolve(ep->v.kid); |
279 |
|
|
act.name = dp->name; |
280 |
|
|
act.prev = curact; |
281 |
|
|
act.ap = alist; |
282 |
|
|
act.an = 0; |
283 |
|
|
act.fun = ep; |
284 |
|
|
curact = &act; |
285 |
|
|
|
286 |
|
|
if (dp->def == NULL || dp->def->v.kid->type != FUNC) |
287 |
|
|
rval = libfunc(act.name, dp); |
288 |
|
|
else |
289 |
|
|
rval = evalue(dp->def->v.kid->sibling); |
290 |
|
|
|
291 |
|
|
curact = act.prev; /* pop environment */ |
292 |
|
|
return(rval); |
293 |
|
|
} |
294 |
|
|
|
295 |
|
|
|
296 |
|
|
LIBR * |
297 |
|
|
liblookup(fname) /* look up a library function */ |
298 |
|
|
char *fname; |
299 |
|
|
{ |
300 |
|
|
int upper, lower; |
301 |
|
|
register int cm, i; |
302 |
|
|
|
303 |
|
|
lower = 0; |
304 |
|
|
upper = cm = libsize; |
305 |
|
|
|
306 |
|
|
while ((i = (lower + upper) >> 1) != cm) { |
307 |
|
|
cm = strcmp(fname, library[i].fname); |
308 |
|
|
if (cm > 0) |
309 |
|
|
lower = i; |
310 |
|
|
else if (cm < 0) |
311 |
|
|
upper = i; |
312 |
|
|
else |
313 |
|
|
return(&library[i]); |
314 |
|
|
cm = i; |
315 |
|
|
} |
316 |
|
|
return(NULL); |
317 |
|
|
} |
318 |
|
|
|
319 |
|
|
|
320 |
|
|
/* |
321 |
|
|
* The following routines are for internal use: |
322 |
|
|
*/ |
323 |
|
|
|
324 |
|
|
|
325 |
|
|
static double |
326 |
|
|
libfunc(fname, vp) /* execute library function */ |
327 |
|
|
char *fname; |
328 |
greg |
2.3 |
VARDEF *vp; |
329 |
greg |
1.1 |
{ |
330 |
greg |
2.3 |
register LIBR *lp; |
331 |
greg |
1.1 |
double d; |
332 |
|
|
int lasterrno; |
333 |
|
|
|
334 |
greg |
2.3 |
if (vp != NULL) |
335 |
|
|
lp = vp->lib; |
336 |
|
|
else |
337 |
|
|
lp = liblookup(fname); |
338 |
|
|
if (lp == NULL) { |
339 |
greg |
1.1 |
eputs(fname); |
340 |
|
|
eputs(": undefined function\n"); |
341 |
|
|
quit(1); |
342 |
|
|
} |
343 |
|
|
lasterrno = errno; |
344 |
|
|
errno = 0; |
345 |
greg |
2.3 |
d = (*lp->f)(lp->fname); |
346 |
greg |
1.1 |
#ifdef IEEE |
347 |
greg |
1.9 |
if (errno == 0) |
348 |
|
|
if (isnan(d)) |
349 |
|
|
errno = EDOM; |
350 |
|
|
else if (isinf(d)) |
351 |
|
|
errno = ERANGE; |
352 |
greg |
1.1 |
#endif |
353 |
greg |
2.10 |
if (errno == EDOM || errno == ERANGE) { |
354 |
greg |
1.1 |
wputs(fname); |
355 |
greg |
1.8 |
if (errno == EDOM) |
356 |
|
|
wputs(": domain error\n"); |
357 |
|
|
else if (errno == ERANGE) |
358 |
|
|
wputs(": range error\n"); |
359 |
|
|
else |
360 |
|
|
wputs(": error in call\n"); |
361 |
greg |
1.1 |
return(0.0); |
362 |
|
|
} |
363 |
|
|
errno = lasterrno; |
364 |
|
|
return(d); |
365 |
|
|
} |
366 |
|
|
|
367 |
|
|
|
368 |
|
|
/* |
369 |
|
|
* Library functions: |
370 |
|
|
*/ |
371 |
|
|
|
372 |
|
|
|
373 |
|
|
static double |
374 |
|
|
l_if() /* if(cond, then, else) conditional expression */ |
375 |
|
|
/* cond evaluates true if greater than zero */ |
376 |
|
|
{ |
377 |
|
|
if (argument(1) > 0.0) |
378 |
|
|
return(argument(2)); |
379 |
|
|
else |
380 |
|
|
return(argument(3)); |
381 |
|
|
} |
382 |
|
|
|
383 |
|
|
|
384 |
|
|
static double |
385 |
|
|
l_select() /* return argument #(A1+1) */ |
386 |
|
|
{ |
387 |
|
|
register int n; |
388 |
|
|
|
389 |
schorsch |
2.11 |
n = (int)(argument(1) + .5); |
390 |
greg |
1.1 |
if (n == 0) |
391 |
|
|
return(nargum()-1); |
392 |
|
|
if (n < 1 || n > nargum()-1) { |
393 |
|
|
errno = EDOM; |
394 |
|
|
return(0.0); |
395 |
|
|
} |
396 |
|
|
return(argument(n+1)); |
397 |
|
|
} |
398 |
|
|
|
399 |
|
|
|
400 |
|
|
static double |
401 |
|
|
l_rand() /* random function between 0 and 1 */ |
402 |
|
|
{ |
403 |
|
|
double x; |
404 |
|
|
|
405 |
|
|
x = argument(1); |
406 |
|
|
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
407 |
|
|
x += .785398163397447 - floor(x); |
408 |
|
|
x = 1e5 / x; |
409 |
|
|
return(x - floor(x)); |
410 |
|
|
} |
411 |
|
|
|
412 |
|
|
|
413 |
|
|
static double |
414 |
|
|
l_floor() /* return largest integer not greater than arg1 */ |
415 |
|
|
{ |
416 |
|
|
return(floor(argument(1))); |
417 |
|
|
} |
418 |
|
|
|
419 |
|
|
|
420 |
|
|
static double |
421 |
|
|
l_ceil() /* return smallest integer not less than arg1 */ |
422 |
|
|
{ |
423 |
|
|
return(ceil(argument(1))); |
424 |
|
|
} |
425 |
|
|
|
426 |
|
|
|
427 |
|
|
static double |
428 |
|
|
l_sqrt() |
429 |
|
|
{ |
430 |
|
|
return(sqrt(argument(1))); |
431 |
|
|
} |
432 |
|
|
|
433 |
|
|
|
434 |
|
|
static double |
435 |
|
|
l_sin() |
436 |
|
|
{ |
437 |
|
|
return(sin(argument(1))); |
438 |
|
|
} |
439 |
|
|
|
440 |
|
|
|
441 |
|
|
static double |
442 |
|
|
l_cos() |
443 |
|
|
{ |
444 |
|
|
return(cos(argument(1))); |
445 |
|
|
} |
446 |
|
|
|
447 |
|
|
|
448 |
|
|
static double |
449 |
|
|
l_tan() |
450 |
|
|
{ |
451 |
|
|
return(tan(argument(1))); |
452 |
|
|
} |
453 |
|
|
|
454 |
|
|
|
455 |
|
|
static double |
456 |
|
|
l_asin() |
457 |
|
|
{ |
458 |
|
|
return(asin(argument(1))); |
459 |
|
|
} |
460 |
|
|
|
461 |
|
|
|
462 |
|
|
static double |
463 |
|
|
l_acos() |
464 |
|
|
{ |
465 |
|
|
return(acos(argument(1))); |
466 |
|
|
} |
467 |
|
|
|
468 |
|
|
|
469 |
|
|
static double |
470 |
|
|
l_atan() |
471 |
|
|
{ |
472 |
|
|
return(atan(argument(1))); |
473 |
|
|
} |
474 |
|
|
|
475 |
|
|
|
476 |
|
|
static double |
477 |
|
|
l_atan2() |
478 |
|
|
{ |
479 |
|
|
return(atan2(argument(1), argument(2))); |
480 |
|
|
} |
481 |
|
|
|
482 |
|
|
|
483 |
|
|
static double |
484 |
|
|
l_exp() |
485 |
|
|
{ |
486 |
|
|
return(exp(argument(1))); |
487 |
|
|
} |
488 |
|
|
|
489 |
|
|
|
490 |
|
|
static double |
491 |
|
|
l_log() |
492 |
|
|
{ |
493 |
|
|
return(log(argument(1))); |
494 |
|
|
} |
495 |
|
|
|
496 |
|
|
|
497 |
|
|
static double |
498 |
|
|
l_log10() |
499 |
|
|
{ |
500 |
|
|
return(log10(argument(1))); |
501 |
|
|
} |