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/* Copyright (c) 1986 Regents of the University of California */ |
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|
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#ifndef lint |
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static char SCCSid[] = "$SunId$ LBL"; |
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#endif |
| 6 |
|
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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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|
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#include <stdio.h> |
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|
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#include <errno.h> |
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|
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#include "calcomp.h" |
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|
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|
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#define ALISTSIZ 6 /* maximum saved argument list */ |
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|
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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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|
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static ACTIVATION *curact = NULL; |
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|
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static double libfunc(); |
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|
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#define MAXLIB 64 /* maximum number of library functions */ |
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|
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static double l_if(), l_select(), l_rand(); |
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static double l_floor(), l_ceil(); |
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#ifdef BIGLIB |
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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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#endif |
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|
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#ifdef BIGLIB |
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/* functions must be listed alphabetically */ |
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static LIBR library[MAXLIB] = { |
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{ "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 }, |
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{ "sin", 1, l_sin }, |
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{ "sqrt", 1, l_sqrt }, |
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{ "tan", 1, l_tan }, |
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}; |
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|
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static int libsize = 16; |
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|
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#else |
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/* functions must be listed alphabetically */ |
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static LIBR library[MAXLIB] = { |
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{ "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 }, |
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}; |
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|
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static int libsize = 5; |
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|
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#endif |
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|
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extern char *savestr(), *emalloc(); |
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|
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extern LIBR *liblookup(); |
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|
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extern VARDEF *argf(); |
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|
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#ifdef VARIABLE |
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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 |
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#endif |
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|
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|
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int |
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fundefined(fname) /* return # of arguments for function */ |
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char *fname; |
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{ |
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LIBR *lp; |
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register VARDEF *vp; |
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|
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
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|| vp->def->v.kid->type != FUNC) |
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if ((lp = liblookup(fname)) == NULL) |
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return(0); |
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else |
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return(lp->nargs); |
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else |
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return(nekids(vp->def->v.kid) - 1); |
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} |
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|
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|
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double |
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funvalue(fname, n, a) /* return a function value to the user */ |
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char *fname; |
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int n; |
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double *a; |
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{ |
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ACTIVATION act; |
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register VARDEF *vp; |
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double rval; |
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/* push environment */ |
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act.name = fname; |
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act.prev = curact; |
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act.ap = a; |
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act.an = (1L<<n)-1; |
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act.fun = NULL; |
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curact = &act; |
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|
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
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|| vp->def->v.kid->type != FUNC) |
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rval = libfunc(fname, vp); |
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else |
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rval = evalue(vp->def->v.kid->sibling); |
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|
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curact = act.prev; /* pop environment */ |
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return(rval); |
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} |
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|
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|
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funset(fname, nargs, fptr) /* set a library function */ |
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char *fname; |
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int nargs; |
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double (*fptr)(); |
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{ |
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register LIBR *lp; |
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|
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if ((lp = liblookup(fname)) == NULL) { |
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if (libsize >= MAXLIB) { |
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eputs("Too many library functons!\n"); |
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quit(1); |
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} |
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for (lp = &library[libsize]; lp > library; lp--) |
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if (strcmp(lp[-1].fname, fname) > 0) { |
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lp[0].fname = lp[-1].fname; |
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lp[0].nargs = lp[-1].nargs; |
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lp[0].f = lp[-1].f; |
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} else |
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break; |
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libsize++; |
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} |
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lp[0].fname = savestr(fname); |
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lp[0].nargs = nargs; |
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lp[0].f = fptr; |
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} |
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|
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|
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int |
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nargum() /* return number of available arguments */ |
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{ |
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register int n; |
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|
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if (curact == NULL) |
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return(0); |
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if (curact->fun == NULL) { |
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for (n = 0; (1L<<n) & curact->an; n++) |
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; |
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return(n); |
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} |
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return(nekids(curact->fun) - 1); |
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} |
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|
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|
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double |
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argument(n) /* return nth argument for active function */ |
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register int n; |
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{ |
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register ACTIVATION *actp = curact; |
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EPNODE *ep; |
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double aval; |
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|
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if (actp == NULL || --n < 0) { |
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eputs("Bad call to argument!\n"); |
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quit(1); |
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} |
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/* already computed? */ |
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if (1L<<n & actp->an) |
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return(actp->ap[n]); |
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|
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if (actp->fun == NULL || (ep = ekid(actp->fun, n+1)) == NULL) { |
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eputs(actp->name); |
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eputs(": too few arguments\n"); |
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quit(1); |
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} |
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curact = actp->prev; /* pop environment */ |
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aval = evalue(ep); /* compute argument */ |
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curact = actp; /* push back environment */ |
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if (n < ALISTSIZ) { /* save value */ |
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actp->ap[n] = aval; |
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actp->an |= 1L<<n; |
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} |
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return(aval); |
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} |
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|
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|
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#ifdef VARIABLE |
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VARDEF * |
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argf(n) /* return function def for nth argument */ |
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int n; |
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{ |
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register ACTIVATION *actp; |
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register EPNODE *ep; |
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|
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for (actp = curact; actp != NULL; actp = actp->prev) { |
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|
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if (n <= 0) |
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break; |
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|
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if (actp->fun == NULL) |
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goto badarg; |
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|
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if ((ep = ekid(actp->fun, n)) == NULL) { |
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eputs(actp->name); |
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eputs(": too few arguments\n"); |
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quit(1); |
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} |
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if (ep->type == VAR) |
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return(ep->v.ln); /* found it */ |
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|
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if (ep->type != ARG) |
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goto badarg; |
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|
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n = ep->v.chan; /* try previous context */ |
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} |
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eputs("Bad call to argf!\n"); |
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quit(1); |
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|
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badarg: |
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eputs(actp->name); |
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eputs(": argument not a function\n"); |
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quit(1); |
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} |
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|
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|
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char * |
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argfun(n) /* return function name for nth argument */ |
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int n; |
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{ |
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return(argf(n)->name); |
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} |
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#endif |
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|
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|
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double |
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efunc(ep) /* evaluate a function */ |
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register EPNODE *ep; |
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{ |
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ACTIVATION act; |
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double alist[ALISTSIZ]; |
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double rval; |
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register VARDEF *dp; |
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/* push environment */ |
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dp = resolve(ep->v.kid); |
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act.name = dp->name; |
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act.prev = curact; |
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act.ap = alist; |
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act.an = 0; |
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act.fun = ep; |
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curact = &act; |
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|
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if (dp->def == NULL || dp->def->v.kid->type != FUNC) |
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rval = libfunc(act.name, dp); |
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else |
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rval = evalue(dp->def->v.kid->sibling); |
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|
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curact = act.prev; /* pop environment */ |
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return(rval); |
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} |
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|
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|
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LIBR * |
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liblookup(fname) /* look up a library function */ |
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char *fname; |
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{ |
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int upper, lower; |
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register int cm, i; |
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|
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lower = 0; |
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upper = cm = libsize; |
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|
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while ((i = (lower + upper) >> 1) != cm) { |
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cm = strcmp(fname, library[i].fname); |
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if (cm > 0) |
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lower = i; |
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else if (cm < 0) |
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upper = i; |
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else |
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return(&library[i]); |
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cm = i; |
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} |
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return(NULL); |
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} |
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|
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|
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#ifndef VARIABLE |
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VARDEF * |
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varinsert(vname) /* dummy variable insert */ |
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char *vname; |
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{ |
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register VARDEF *vp; |
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|
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vp = (VARDEF *)emalloc(sizeof(VARDEF)); |
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vp->name = savestr(vname); |
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vp->nlinks = 1; |
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vp->def = NULL; |
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vp->lib = NULL; |
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vp->next = NULL; |
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return(vp); |
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} |
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|
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|
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varfree(vp) /* free dummy variable */ |
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register VARDEF *vp; |
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{ |
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freestr(vp->name); |
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efree((char *)vp); |
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} |
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#endif |
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|
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|
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|
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/* |
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* The following routines are for internal use: |
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*/ |
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|
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|
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static double |
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libfunc(fname, vp) /* execute library function */ |
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char *fname; |
| 357 |
register VARDEF *vp; |
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{ |
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VARDEF dumdef; |
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double d; |
| 361 |
int lasterrno; |
| 362 |
|
| 363 |
if (vp == NULL) { |
| 364 |
vp = &dumdef; |
| 365 |
vp->lib = NULL; |
| 366 |
} |
| 367 |
if (((vp->lib == NULL || strcmp(fname, vp->lib->fname)) && |
| 368 |
(vp->lib = liblookup(fname)) == NULL) || |
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vp->lib->f == NULL) { |
| 370 |
eputs(fname); |
| 371 |
eputs(": undefined function\n"); |
| 372 |
quit(1); |
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} |
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lasterrno = errno; |
| 375 |
errno = 0; |
| 376 |
d = (*vp->lib->f)(); |
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#ifdef IEEE |
| 378 |
if (!finite(d)) |
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errno = EDOM; |
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#endif |
| 381 |
if (errno) { |
| 382 |
wputs(fname); |
| 383 |
wputs(": bad call\n"); |
| 384 |
return(0.0); |
| 385 |
} |
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errno = lasterrno; |
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return(d); |
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} |
| 389 |
|
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|
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/* |
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* Library functions: |
| 393 |
*/ |
| 394 |
|
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|
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static double |
| 397 |
l_if() /* if(cond, then, else) conditional expression */ |
| 398 |
/* cond evaluates true if greater than zero */ |
| 399 |
{ |
| 400 |
if (argument(1) > 0.0) |
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return(argument(2)); |
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else |
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return(argument(3)); |
| 404 |
} |
| 405 |
|
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|
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static double |
| 408 |
l_select() /* return argument #(A1+1) */ |
| 409 |
{ |
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register int n; |
| 411 |
|
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n = argument(1) + .5; |
| 413 |
if (n == 0) |
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return(nargum()-1); |
| 415 |
if (n < 1 || n > nargum()-1) { |
| 416 |
errno = EDOM; |
| 417 |
return(0.0); |
| 418 |
} |
| 419 |
return(argument(n+1)); |
| 420 |
} |
| 421 |
|
| 422 |
|
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static double |
| 424 |
l_rand() /* random function between 0 and 1 */ |
| 425 |
{ |
| 426 |
extern double floor(); |
| 427 |
double x; |
| 428 |
|
| 429 |
x = argument(1); |
| 430 |
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
| 431 |
x += .785398163397447 - floor(x); |
| 432 |
x = 1e5 / x; |
| 433 |
return(x - floor(x)); |
| 434 |
} |
| 435 |
|
| 436 |
|
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static double |
| 438 |
l_floor() /* return largest integer not greater than arg1 */ |
| 439 |
{ |
| 440 |
extern double floor(); |
| 441 |
|
| 442 |
return(floor(argument(1))); |
| 443 |
} |
| 444 |
|
| 445 |
|
| 446 |
static double |
| 447 |
l_ceil() /* return smallest integer not less than arg1 */ |
| 448 |
{ |
| 449 |
extern double ceil(); |
| 450 |
|
| 451 |
return(ceil(argument(1))); |
| 452 |
} |
| 453 |
|
| 454 |
|
| 455 |
#ifdef BIGLIB |
| 456 |
static double |
| 457 |
l_sqrt() |
| 458 |
{ |
| 459 |
extern double sqrt(); |
| 460 |
|
| 461 |
return(sqrt(argument(1))); |
| 462 |
} |
| 463 |
|
| 464 |
|
| 465 |
static double |
| 466 |
l_sin() |
| 467 |
{ |
| 468 |
extern double sin(); |
| 469 |
|
| 470 |
return(sin(argument(1))); |
| 471 |
} |
| 472 |
|
| 473 |
|
| 474 |
static double |
| 475 |
l_cos() |
| 476 |
{ |
| 477 |
extern double cos(); |
| 478 |
|
| 479 |
return(cos(argument(1))); |
| 480 |
} |
| 481 |
|
| 482 |
|
| 483 |
static double |
| 484 |
l_tan() |
| 485 |
{ |
| 486 |
extern double tan(); |
| 487 |
|
| 488 |
return(tan(argument(1))); |
| 489 |
} |
| 490 |
|
| 491 |
|
| 492 |
static double |
| 493 |
l_asin() |
| 494 |
{ |
| 495 |
extern double asin(); |
| 496 |
|
| 497 |
return(asin(argument(1))); |
| 498 |
} |
| 499 |
|
| 500 |
|
| 501 |
static double |
| 502 |
l_acos() |
| 503 |
{ |
| 504 |
extern double acos(); |
| 505 |
|
| 506 |
return(acos(argument(1))); |
| 507 |
} |
| 508 |
|
| 509 |
|
| 510 |
static double |
| 511 |
l_atan() |
| 512 |
{ |
| 513 |
extern double atan(); |
| 514 |
|
| 515 |
return(atan(argument(1))); |
| 516 |
} |
| 517 |
|
| 518 |
|
| 519 |
static double |
| 520 |
l_atan2() |
| 521 |
{ |
| 522 |
extern double atan2(); |
| 523 |
|
| 524 |
return(atan2(argument(1), argument(2))); |
| 525 |
} |
| 526 |
|
| 527 |
|
| 528 |
static double |
| 529 |
l_exp() |
| 530 |
{ |
| 531 |
extern double exp(); |
| 532 |
|
| 533 |
return(exp(argument(1))); |
| 534 |
} |
| 535 |
|
| 536 |
|
| 537 |
static double |
| 538 |
l_log() |
| 539 |
{ |
| 540 |
extern double log(); |
| 541 |
|
| 542 |
return(log(argument(1))); |
| 543 |
} |
| 544 |
|
| 545 |
|
| 546 |
static double |
| 547 |
l_log10() |
| 548 |
{ |
| 549 |
extern double log10(); |
| 550 |
|
| 551 |
return(log10(argument(1))); |
| 552 |
} |
| 553 |
#endif |
