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greg |
1.5 |
/* Copyright (c) 1991 Regents of the University of California */ |
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greg |
1.1 |
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#ifndef lint |
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static char SCCSid[] = "$SunId$ LBL"; |
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#endif |
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/* |
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* calfunc.c - routines for calcomp using functions. |
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* |
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* The define BIGLIB pulls in a large number of the |
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* available math routines. |
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* |
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* If VARIABLE is not defined, only library functions |
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* can be accessed. |
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* |
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* 4/2/86 |
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*/ |
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#include <stdio.h> |
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#include <errno.h> |
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greg |
2.5 |
#include <math.h> |
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greg |
1.1 |
#include "calcomp.h" |
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greg |
1.5 |
/* bits in argument flag (better be right!) */ |
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#define AFLAGSIZ (8*sizeof(unsigned long)) |
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greg |
1.1 |
#define ALISTSIZ 6 /* maximum saved argument list */ |
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typedef struct activation { |
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char *name; /* function name */ |
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struct activation *prev; /* previous activation */ |
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double *ap; /* argument list */ |
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unsigned long an; /* computed argument flags */ |
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EPNODE *fun; /* argument function */ |
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} ACTIVATION; /* an activation record */ |
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static ACTIVATION *curact = NULL; |
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greg |
1.2 |
static double libfunc(); |
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greg |
1.1 |
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#define MAXLIB 64 /* maximum number of library functions */ |
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greg |
1.2 |
static double l_if(), l_select(), l_rand(); |
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static double l_floor(), l_ceil(); |
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greg |
1.1 |
#ifdef BIGLIB |
48 |
greg |
1.2 |
static double l_sqrt(); |
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static double l_sin(), l_cos(), l_tan(); |
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static double l_asin(), l_acos(), l_atan(), l_atan2(); |
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static double l_exp(), l_log(), l_log10(); |
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greg |
1.1 |
#endif |
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#ifdef BIGLIB |
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/* functions must be listed alphabetically */ |
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static LIBR library[MAXLIB] = { |
57 |
greg |
1.4 |
{ "acos", 1, ':', l_acos }, |
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{ "asin", 1, ':', l_asin }, |
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{ "atan", 1, ':', l_atan }, |
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{ "atan2", 2, ':', l_atan2 }, |
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{ "ceil", 1, ':', l_ceil }, |
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{ "cos", 1, ':', l_cos }, |
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{ "exp", 1, ':', l_exp }, |
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{ "floor", 1, ':', l_floor }, |
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{ "if", 3, ':', l_if }, |
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{ "log", 1, ':', l_log }, |
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{ "log10", 1, ':', l_log10 }, |
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{ "rand", 1, ':', l_rand }, |
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{ "select", 1, ':', l_select }, |
70 |
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{ "sin", 1, ':', l_sin }, |
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{ "sqrt", 1, ':', l_sqrt }, |
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{ "tan", 1, ':', l_tan }, |
73 |
greg |
1.1 |
}; |
74 |
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75 |
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static int libsize = 16; |
76 |
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#else |
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/* functions must be listed alphabetically */ |
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static LIBR library[MAXLIB] = { |
80 |
greg |
1.4 |
{ "ceil", 1, ':', l_ceil }, |
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{ "floor", 1, ':', l_floor }, |
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{ "if", 3, ':', l_if }, |
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{ "rand", 1, ':', l_rand }, |
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{ "select", 1, ':', l_select }, |
85 |
greg |
1.1 |
}; |
86 |
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87 |
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static int libsize = 5; |
88 |
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89 |
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#endif |
90 |
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91 |
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extern char *savestr(), *emalloc(); |
92 |
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93 |
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extern VARDEF *argf(); |
94 |
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95 |
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#ifdef VARIABLE |
96 |
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#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
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#else |
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#define resolve(ep) ((ep)->v.ln) |
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#define varlookup(name) NULL |
100 |
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#endif |
101 |
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102 |
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103 |
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int |
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fundefined(fname) /* return # of arguments for function */ |
105 |
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char *fname; |
106 |
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{ |
107 |
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LIBR *lp; |
108 |
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register VARDEF *vp; |
109 |
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110 |
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
111 |
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|| vp->def->v.kid->type != FUNC) |
112 |
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if ((lp = liblookup(fname)) == NULL) |
113 |
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return(0); |
114 |
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else |
115 |
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return(lp->nargs); |
116 |
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else |
117 |
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return(nekids(vp->def->v.kid) - 1); |
118 |
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} |
119 |
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120 |
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121 |
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double |
122 |
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funvalue(fname, n, a) /* return a function value to the user */ |
123 |
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char *fname; |
124 |
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int n; |
125 |
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double *a; |
126 |
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{ |
127 |
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ACTIVATION act; |
128 |
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register VARDEF *vp; |
129 |
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double rval; |
130 |
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/* push environment */ |
131 |
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act.name = fname; |
132 |
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act.prev = curact; |
133 |
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act.ap = a; |
134 |
greg |
1.5 |
if (n >= AFLAGSIZ) |
135 |
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act.an = ~0; |
136 |
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else |
137 |
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act.an = (1L<<n)-1; |
138 |
greg |
1.1 |
act.fun = NULL; |
139 |
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curact = &act; |
140 |
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141 |
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
142 |
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|| vp->def->v.kid->type != FUNC) |
143 |
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rval = libfunc(fname, vp); |
144 |
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else |
145 |
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rval = evalue(vp->def->v.kid->sibling); |
146 |
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147 |
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curact = act.prev; /* pop environment */ |
148 |
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return(rval); |
149 |
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} |
150 |
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151 |
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152 |
greg |
1.4 |
funset(fname, nargs, assign, fptr) /* set a library function */ |
153 |
greg |
1.1 |
char *fname; |
154 |
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int nargs; |
155 |
greg |
1.4 |
int assign; |
156 |
greg |
1.1 |
double (*fptr)(); |
157 |
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{ |
158 |
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register LIBR *lp; |
159 |
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160 |
greg |
2.2 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
161 |
greg |
1.1 |
if (libsize >= MAXLIB) { |
162 |
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eputs("Too many library functons!\n"); |
163 |
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quit(1); |
164 |
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} |
165 |
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for (lp = &library[libsize]; lp > library; lp--) |
166 |
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if (strcmp(lp[-1].fname, fname) > 0) { |
167 |
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lp[0].fname = lp[-1].fname; |
168 |
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lp[0].nargs = lp[-1].nargs; |
169 |
greg |
1.4 |
lp[0].atyp = lp[-1].atyp; |
170 |
greg |
1.1 |
lp[0].f = lp[-1].f; |
171 |
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} else |
172 |
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break; |
173 |
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libsize++; |
174 |
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} |
175 |
greg |
2.2 |
if (fptr == NULL) { /* delete */ |
176 |
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while (lp < &library[libsize-1]) { |
177 |
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lp[0].fname = lp[1].fname; |
178 |
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lp[0].nargs = lp[1].nargs; |
179 |
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lp[0].atyp = lp[1].atyp; |
180 |
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lp[0].f = lp[1].f; |
181 |
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lp++; |
182 |
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} |
183 |
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libsize--; |
184 |
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} else { /* or assign */ |
185 |
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lp[0].fname = fname; /* string must be static! */ |
186 |
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lp[0].nargs = nargs; |
187 |
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lp[0].atyp = assign; |
188 |
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lp[0].f = fptr; |
189 |
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} |
190 |
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libupdate(fname); /* relink library */ |
191 |
greg |
1.1 |
} |
192 |
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193 |
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194 |
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int |
195 |
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nargum() /* return number of available arguments */ |
196 |
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{ |
197 |
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register int n; |
198 |
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199 |
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if (curact == NULL) |
200 |
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return(0); |
201 |
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if (curact->fun == NULL) { |
202 |
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for (n = 0; (1L<<n) & curact->an; n++) |
203 |
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; |
204 |
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return(n); |
205 |
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} |
206 |
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return(nekids(curact->fun) - 1); |
207 |
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} |
208 |
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209 |
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210 |
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double |
211 |
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argument(n) /* return nth argument for active function */ |
212 |
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register int n; |
213 |
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{ |
214 |
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register ACTIVATION *actp = curact; |
215 |
greg |
1.7 |
register EPNODE *ep; |
216 |
greg |
1.1 |
double aval; |
217 |
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218 |
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if (actp == NULL || --n < 0) { |
219 |
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eputs("Bad call to argument!\n"); |
220 |
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quit(1); |
221 |
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} |
222 |
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/* already computed? */ |
223 |
greg |
1.5 |
if (n < AFLAGSIZ && 1L<<n & actp->an) |
224 |
greg |
1.1 |
return(actp->ap[n]); |
225 |
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226 |
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if (actp->fun == NULL || (ep = ekid(actp->fun, n+1)) == NULL) { |
227 |
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eputs(actp->name); |
228 |
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eputs(": too few arguments\n"); |
229 |
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quit(1); |
230 |
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} |
231 |
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curact = actp->prev; /* pop environment */ |
232 |
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aval = evalue(ep); /* compute argument */ |
233 |
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curact = actp; /* push back environment */ |
234 |
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if (n < ALISTSIZ) { /* save value */ |
235 |
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actp->ap[n] = aval; |
236 |
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actp->an |= 1L<<n; |
237 |
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} |
238 |
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return(aval); |
239 |
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} |
240 |
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241 |
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242 |
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#ifdef VARIABLE |
243 |
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VARDEF * |
244 |
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argf(n) /* return function def for nth argument */ |
245 |
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int n; |
246 |
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{ |
247 |
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register ACTIVATION *actp; |
248 |
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register EPNODE *ep; |
249 |
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250 |
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for (actp = curact; actp != NULL; actp = actp->prev) { |
251 |
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252 |
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if (n <= 0) |
253 |
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break; |
254 |
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255 |
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if (actp->fun == NULL) |
256 |
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goto badarg; |
257 |
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258 |
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if ((ep = ekid(actp->fun, n)) == NULL) { |
259 |
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eputs(actp->name); |
260 |
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eputs(": too few arguments\n"); |
261 |
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quit(1); |
262 |
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} |
263 |
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if (ep->type == VAR) |
264 |
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return(ep->v.ln); /* found it */ |
265 |
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266 |
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if (ep->type != ARG) |
267 |
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goto badarg; |
268 |
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269 |
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n = ep->v.chan; /* try previous context */ |
270 |
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} |
271 |
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eputs("Bad call to argf!\n"); |
272 |
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quit(1); |
273 |
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274 |
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badarg: |
275 |
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eputs(actp->name); |
276 |
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eputs(": argument not a function\n"); |
277 |
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quit(1); |
278 |
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} |
279 |
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280 |
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281 |
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char * |
282 |
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argfun(n) /* return function name for nth argument */ |
283 |
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int n; |
284 |
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{ |
285 |
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return(argf(n)->name); |
286 |
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} |
287 |
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#endif |
288 |
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289 |
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290 |
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double |
291 |
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efunc(ep) /* evaluate a function */ |
292 |
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register EPNODE *ep; |
293 |
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{ |
294 |
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ACTIVATION act; |
295 |
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double alist[ALISTSIZ]; |
296 |
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double rval; |
297 |
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register VARDEF *dp; |
298 |
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/* push environment */ |
299 |
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dp = resolve(ep->v.kid); |
300 |
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act.name = dp->name; |
301 |
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act.prev = curact; |
302 |
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act.ap = alist; |
303 |
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act.an = 0; |
304 |
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act.fun = ep; |
305 |
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curact = &act; |
306 |
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307 |
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if (dp->def == NULL || dp->def->v.kid->type != FUNC) |
308 |
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rval = libfunc(act.name, dp); |
309 |
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else |
310 |
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rval = evalue(dp->def->v.kid->sibling); |
311 |
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312 |
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curact = act.prev; /* pop environment */ |
313 |
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return(rval); |
314 |
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} |
315 |
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316 |
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317 |
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LIBR * |
318 |
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liblookup(fname) /* look up a library function */ |
319 |
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char *fname; |
320 |
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{ |
321 |
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int upper, lower; |
322 |
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register int cm, i; |
323 |
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324 |
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lower = 0; |
325 |
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upper = cm = libsize; |
326 |
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327 |
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while ((i = (lower + upper) >> 1) != cm) { |
328 |
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cm = strcmp(fname, library[i].fname); |
329 |
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if (cm > 0) |
330 |
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lower = i; |
331 |
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else if (cm < 0) |
332 |
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upper = i; |
333 |
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else |
334 |
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return(&library[i]); |
335 |
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cm = i; |
336 |
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} |
337 |
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return(NULL); |
338 |
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} |
339 |
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340 |
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341 |
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#ifndef VARIABLE |
342 |
greg |
2.4 |
static VARDEF *varlist = NULL; /* our list of dummy variables */ |
343 |
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|
344 |
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|
345 |
greg |
1.1 |
VARDEF * |
346 |
|
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varinsert(vname) /* dummy variable insert */ |
347 |
|
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char *vname; |
348 |
|
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{ |
349 |
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register VARDEF *vp; |
350 |
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|
351 |
|
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vp = (VARDEF *)emalloc(sizeof(VARDEF)); |
352 |
|
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vp->name = savestr(vname); |
353 |
|
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vp->nlinks = 1; |
354 |
|
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vp->def = NULL; |
355 |
greg |
2.4 |
vp->lib = liblookup(vname); |
356 |
|
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vp->next = varlist; |
357 |
|
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varlist = vp; |
358 |
greg |
1.1 |
return(vp); |
359 |
|
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} |
360 |
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361 |
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|
362 |
|
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varfree(vp) /* free dummy variable */ |
363 |
|
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register VARDEF *vp; |
364 |
|
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{ |
365 |
greg |
2.4 |
register VARDEF *vp2; |
366 |
|
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|
367 |
|
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if (vp == varlist) |
368 |
|
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varlist = vp->next; |
369 |
|
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else { |
370 |
|
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for (vp2 = varlist; vp2->next != vp; vp2 = vp2->next) |
371 |
|
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; |
372 |
|
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vp2->next = vp->next; |
373 |
|
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} |
374 |
greg |
1.1 |
freestr(vp->name); |
375 |
|
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efree((char *)vp); |
376 |
greg |
2.4 |
} |
377 |
|
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378 |
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|
379 |
|
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libupdate(nm) /* update library */ |
380 |
|
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char *nm; |
381 |
|
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{ |
382 |
|
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register VARDEF *vp; |
383 |
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|
384 |
|
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for (vp = varlist; vp != NULL; vp = vp->next) |
385 |
|
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vp->lib = liblookup(vp->name); |
386 |
greg |
1.1 |
} |
387 |
|
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#endif |
388 |
|
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389 |
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|
390 |
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|
391 |
|
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/* |
392 |
|
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* The following routines are for internal use: |
393 |
|
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*/ |
394 |
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|
395 |
|
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|
396 |
|
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static double |
397 |
|
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libfunc(fname, vp) /* execute library function */ |
398 |
|
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char *fname; |
399 |
greg |
2.3 |
VARDEF *vp; |
400 |
greg |
1.1 |
{ |
401 |
greg |
2.3 |
register LIBR *lp; |
402 |
greg |
1.1 |
double d; |
403 |
|
|
int lasterrno; |
404 |
|
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|
405 |
greg |
2.3 |
if (vp != NULL) |
406 |
|
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lp = vp->lib; |
407 |
|
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else |
408 |
|
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lp = liblookup(fname); |
409 |
|
|
if (lp == NULL) { |
410 |
greg |
1.1 |
eputs(fname); |
411 |
|
|
eputs(": undefined function\n"); |
412 |
|
|
quit(1); |
413 |
|
|
} |
414 |
|
|
lasterrno = errno; |
415 |
|
|
errno = 0; |
416 |
greg |
2.3 |
d = (*lp->f)(lp->fname); |
417 |
greg |
1.1 |
#ifdef IEEE |
418 |
greg |
1.9 |
if (errno == 0) |
419 |
|
|
if (isnan(d)) |
420 |
|
|
errno = EDOM; |
421 |
|
|
else if (isinf(d)) |
422 |
|
|
errno = ERANGE; |
423 |
greg |
1.1 |
#endif |
424 |
|
|
if (errno) { |
425 |
|
|
wputs(fname); |
426 |
greg |
1.8 |
if (errno == EDOM) |
427 |
|
|
wputs(": domain error\n"); |
428 |
|
|
else if (errno == ERANGE) |
429 |
|
|
wputs(": range error\n"); |
430 |
|
|
else |
431 |
|
|
wputs(": error in call\n"); |
432 |
greg |
1.1 |
return(0.0); |
433 |
|
|
} |
434 |
|
|
errno = lasterrno; |
435 |
|
|
return(d); |
436 |
|
|
} |
437 |
|
|
|
438 |
|
|
|
439 |
|
|
/* |
440 |
|
|
* Library functions: |
441 |
|
|
*/ |
442 |
|
|
|
443 |
|
|
|
444 |
|
|
static double |
445 |
|
|
l_if() /* if(cond, then, else) conditional expression */ |
446 |
|
|
/* cond evaluates true if greater than zero */ |
447 |
|
|
{ |
448 |
|
|
if (argument(1) > 0.0) |
449 |
|
|
return(argument(2)); |
450 |
|
|
else |
451 |
|
|
return(argument(3)); |
452 |
|
|
} |
453 |
|
|
|
454 |
|
|
|
455 |
|
|
static double |
456 |
|
|
l_select() /* return argument #(A1+1) */ |
457 |
|
|
{ |
458 |
|
|
register int n; |
459 |
|
|
|
460 |
|
|
n = argument(1) + .5; |
461 |
|
|
if (n == 0) |
462 |
|
|
return(nargum()-1); |
463 |
|
|
if (n < 1 || n > nargum()-1) { |
464 |
|
|
errno = EDOM; |
465 |
|
|
return(0.0); |
466 |
|
|
} |
467 |
|
|
return(argument(n+1)); |
468 |
|
|
} |
469 |
|
|
|
470 |
|
|
|
471 |
|
|
static double |
472 |
|
|
l_rand() /* random function between 0 and 1 */ |
473 |
|
|
{ |
474 |
|
|
double x; |
475 |
|
|
|
476 |
|
|
x = argument(1); |
477 |
|
|
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
478 |
|
|
x += .785398163397447 - floor(x); |
479 |
|
|
x = 1e5 / x; |
480 |
|
|
return(x - floor(x)); |
481 |
|
|
} |
482 |
|
|
|
483 |
|
|
|
484 |
|
|
static double |
485 |
|
|
l_floor() /* return largest integer not greater than arg1 */ |
486 |
|
|
{ |
487 |
|
|
return(floor(argument(1))); |
488 |
|
|
} |
489 |
|
|
|
490 |
|
|
|
491 |
|
|
static double |
492 |
|
|
l_ceil() /* return smallest integer not less than arg1 */ |
493 |
|
|
{ |
494 |
|
|
return(ceil(argument(1))); |
495 |
|
|
} |
496 |
|
|
|
497 |
|
|
|
498 |
|
|
#ifdef BIGLIB |
499 |
|
|
static double |
500 |
|
|
l_sqrt() |
501 |
|
|
{ |
502 |
|
|
return(sqrt(argument(1))); |
503 |
|
|
} |
504 |
|
|
|
505 |
|
|
|
506 |
|
|
static double |
507 |
|
|
l_sin() |
508 |
|
|
{ |
509 |
|
|
return(sin(argument(1))); |
510 |
|
|
} |
511 |
|
|
|
512 |
|
|
|
513 |
|
|
static double |
514 |
|
|
l_cos() |
515 |
|
|
{ |
516 |
|
|
return(cos(argument(1))); |
517 |
|
|
} |
518 |
|
|
|
519 |
|
|
|
520 |
|
|
static double |
521 |
|
|
l_tan() |
522 |
|
|
{ |
523 |
|
|
return(tan(argument(1))); |
524 |
|
|
} |
525 |
|
|
|
526 |
|
|
|
527 |
|
|
static double |
528 |
|
|
l_asin() |
529 |
|
|
{ |
530 |
|
|
return(asin(argument(1))); |
531 |
|
|
} |
532 |
|
|
|
533 |
|
|
|
534 |
|
|
static double |
535 |
|
|
l_acos() |
536 |
|
|
{ |
537 |
|
|
return(acos(argument(1))); |
538 |
|
|
} |
539 |
|
|
|
540 |
|
|
|
541 |
|
|
static double |
542 |
|
|
l_atan() |
543 |
|
|
{ |
544 |
|
|
return(atan(argument(1))); |
545 |
|
|
} |
546 |
|
|
|
547 |
|
|
|
548 |
|
|
static double |
549 |
|
|
l_atan2() |
550 |
|
|
{ |
551 |
|
|
return(atan2(argument(1), argument(2))); |
552 |
|
|
} |
553 |
|
|
|
554 |
|
|
|
555 |
|
|
static double |
556 |
|
|
l_exp() |
557 |
|
|
{ |
558 |
|
|
return(exp(argument(1))); |
559 |
|
|
} |
560 |
|
|
|
561 |
|
|
|
562 |
|
|
static double |
563 |
|
|
l_log() |
564 |
|
|
{ |
565 |
|
|
return(log(argument(1))); |
566 |
|
|
} |
567 |
|
|
|
568 |
|
|
|
569 |
|
|
static double |
570 |
|
|
l_log10() |
571 |
|
|
{ |
572 |
|
|
return(log10(argument(1))); |
573 |
|
|
} |
574 |
|
|
#endif |