| 1 |
/* Copyright (c) 1992 Regents of the University of California */ |
| 2 |
|
| 3 |
#ifndef lint |
| 4 |
static char SCCSid[] = "$SunId$ LBL"; |
| 5 |
#endif |
| 6 |
|
| 7 |
/* |
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* calfunc.c - routines for calcomp using functions. |
| 9 |
* |
| 10 |
* The define BIGLIB pulls in a large number of the |
| 11 |
* available math routines. |
| 12 |
* |
| 13 |
* If VARIABLE is not defined, only library functions |
| 14 |
* can be accessed. |
| 15 |
* |
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* 4/2/86 |
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*/ |
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|
| 19 |
#include <stdio.h> |
| 20 |
|
| 21 |
#include <errno.h> |
| 22 |
|
| 23 |
#include <math.h> |
| 24 |
|
| 25 |
#include "calcomp.h" |
| 26 |
|
| 27 |
/* bits in argument flag (better be right!) */ |
| 28 |
#define AFLAGSIZ (8*sizeof(unsigned long)) |
| 29 |
#define ALISTSIZ 6 /* maximum saved argument list */ |
| 30 |
|
| 31 |
typedef struct activation { |
| 32 |
char *name; /* function name */ |
| 33 |
struct activation *prev; /* previous activation */ |
| 34 |
double *ap; /* argument list */ |
| 35 |
unsigned long an; /* computed argument flags */ |
| 36 |
EPNODE *fun; /* argument function */ |
| 37 |
} ACTIVATION; /* an activation record */ |
| 38 |
|
| 39 |
static ACTIVATION *curact = NULL; |
| 40 |
|
| 41 |
static double libfunc(); |
| 42 |
|
| 43 |
#define MAXLIB 64 /* maximum number of library functions */ |
| 44 |
|
| 45 |
static double l_if(), l_select(), l_rand(); |
| 46 |
static double l_floor(), l_ceil(); |
| 47 |
#ifdef BIGLIB |
| 48 |
static double l_sqrt(); |
| 49 |
static double l_sin(), l_cos(), l_tan(); |
| 50 |
static double l_asin(), l_acos(), l_atan(), l_atan2(); |
| 51 |
static double l_exp(), l_log(), l_log10(); |
| 52 |
#endif |
| 53 |
|
| 54 |
#ifdef BIGLIB |
| 55 |
/* functions must be listed alphabetically */ |
| 56 |
static LIBR library[MAXLIB] = { |
| 57 |
{ "acos", 1, ':', l_acos }, |
| 58 |
{ "asin", 1, ':', l_asin }, |
| 59 |
{ "atan", 1, ':', l_atan }, |
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{ "atan2", 2, ':', l_atan2 }, |
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{ "ceil", 1, ':', l_ceil }, |
| 62 |
{ "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 }, |
| 67 |
{ "log10", 1, ':', l_log10 }, |
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{ "rand", 1, ':', l_rand }, |
| 69 |
{ "select", 1, ':', l_select }, |
| 70 |
{ "sin", 1, ':', l_sin }, |
| 71 |
{ "sqrt", 1, ':', l_sqrt }, |
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{ "tan", 1, ':', l_tan }, |
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}; |
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|
| 75 |
static int libsize = 16; |
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|
| 77 |
#else |
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/* functions must be listed alphabetically */ |
| 79 |
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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|
| 89 |
#endif |
| 90 |
|
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extern char *savestr(), *emalloc(); |
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|
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extern VARDEF *argf(); |
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|
| 95 |
#ifdef VARIABLE |
| 96 |
#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
| 97 |
#else |
| 98 |
#define resolve(ep) ((ep)->v.ln) |
| 99 |
#define varlookup(name) NULL |
| 100 |
#endif |
| 101 |
|
| 102 |
|
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int |
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fundefined(fname) /* return # of arguments for function */ |
| 105 |
char *fname; |
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{ |
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LIBR *lp; |
| 108 |
register VARDEF *vp; |
| 109 |
|
| 110 |
if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
| 111 |
|| vp->def->v.kid->type != FUNC) |
| 112 |
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); |
| 118 |
} |
| 119 |
|
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|
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double |
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funvalue(fname, n, a) /* return a function value to the user */ |
| 123 |
char *fname; |
| 124 |
int n; |
| 125 |
double *a; |
| 126 |
{ |
| 127 |
ACTIVATION act; |
| 128 |
register VARDEF *vp; |
| 129 |
double rval; |
| 130 |
/* 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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if (n >= AFLAGSIZ) |
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act.an = ~0; |
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else |
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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, assign, fptr) /* set a library function */ |
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char *fname; |
| 154 |
int nargs; |
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int assign; |
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double (*fptr)(); |
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{ |
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int oldlibsize = libsize; |
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register LIBR *lp; |
| 160 |
|
| 161 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
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if (libsize >= MAXLIB) { |
| 163 |
eputs("Too many library functons!\n"); |
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quit(1); |
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} |
| 166 |
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].atyp = lp[-1].atyp; |
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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++; |
| 175 |
} |
| 176 |
if (fptr == NULL) { /* delete */ |
| 177 |
while (lp < &library[libsize-1]) { |
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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].atyp = lp[1].atyp; |
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lp[0].f = lp[1].f; |
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lp++; |
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} |
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libsize--; |
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} else { /* or assign */ |
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lp[0].fname = fname; /* string must be static! */ |
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lp[0].nargs = nargs; |
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lp[0].atyp = assign; |
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lp[0].f = fptr; |
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} |
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if (libsize != oldlibsize) |
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libupdate(fname); /* relink library */ |
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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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register 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 (n < AFLAGSIZ && 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 */ |
| 285 |
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) |
| 310 |
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 */ |
| 315 |
return(rval); |
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} |
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|
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|
| 319 |
LIBR * |
| 320 |
liblookup(fname) /* look up a library function */ |
| 321 |
char *fname; |
| 322 |
{ |
| 323 |
int upper, lower; |
| 324 |
register int cm, i; |
| 325 |
|
| 326 |
lower = 0; |
| 327 |
upper = cm = libsize; |
| 328 |
|
| 329 |
while ((i = (lower + upper) >> 1) != cm) { |
| 330 |
cm = strcmp(fname, library[i].fname); |
| 331 |
if (cm > 0) |
| 332 |
lower = i; |
| 333 |
else if (cm < 0) |
| 334 |
upper = i; |
| 335 |
else |
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return(&library[i]); |
| 337 |
cm = i; |
| 338 |
} |
| 339 |
return(NULL); |
| 340 |
} |
| 341 |
|
| 342 |
|
| 343 |
#ifndef VARIABLE |
| 344 |
static VARDEF *varlist = NULL; /* our list of dummy variables */ |
| 345 |
|
| 346 |
|
| 347 |
VARDEF * |
| 348 |
varinsert(vname) /* dummy variable insert */ |
| 349 |
char *vname; |
| 350 |
{ |
| 351 |
register VARDEF *vp; |
| 352 |
|
| 353 |
vp = (VARDEF *)emalloc(sizeof(VARDEF)); |
| 354 |
vp->name = savestr(vname); |
| 355 |
vp->nlinks = 1; |
| 356 |
vp->def = NULL; |
| 357 |
vp->lib = liblookup(vname); |
| 358 |
vp->next = varlist; |
| 359 |
varlist = vp; |
| 360 |
return(vp); |
| 361 |
} |
| 362 |
|
| 363 |
|
| 364 |
varfree(vp) /* free dummy variable */ |
| 365 |
register VARDEF *vp; |
| 366 |
{ |
| 367 |
register VARDEF *vp2; |
| 368 |
|
| 369 |
if (vp == varlist) |
| 370 |
varlist = vp->next; |
| 371 |
else { |
| 372 |
for (vp2 = varlist; vp2->next != vp; vp2 = vp2->next) |
| 373 |
; |
| 374 |
vp2->next = vp->next; |
| 375 |
} |
| 376 |
freestr(vp->name); |
| 377 |
efree((char *)vp); |
| 378 |
} |
| 379 |
|
| 380 |
|
| 381 |
libupdate(nm) /* update library */ |
| 382 |
char *nm; |
| 383 |
{ |
| 384 |
register VARDEF *vp; |
| 385 |
|
| 386 |
for (vp = varlist; vp != NULL; vp = vp->next) |
| 387 |
vp->lib = liblookup(vp->name); |
| 388 |
} |
| 389 |
#endif |
| 390 |
|
| 391 |
|
| 392 |
|
| 393 |
/* |
| 394 |
* The following routines are for internal use: |
| 395 |
*/ |
| 396 |
|
| 397 |
|
| 398 |
static double |
| 399 |
libfunc(fname, vp) /* execute library function */ |
| 400 |
char *fname; |
| 401 |
VARDEF *vp; |
| 402 |
{ |
| 403 |
register LIBR *lp; |
| 404 |
double d; |
| 405 |
int lasterrno; |
| 406 |
|
| 407 |
if (vp != NULL) |
| 408 |
lp = vp->lib; |
| 409 |
else |
| 410 |
lp = liblookup(fname); |
| 411 |
if (lp == NULL) { |
| 412 |
eputs(fname); |
| 413 |
eputs(": undefined function\n"); |
| 414 |
quit(1); |
| 415 |
} |
| 416 |
lasterrno = errno; |
| 417 |
errno = 0; |
| 418 |
d = (*lp->f)(lp->fname); |
| 419 |
#ifdef IEEE |
| 420 |
if (errno == 0) |
| 421 |
if (isnan(d)) |
| 422 |
errno = EDOM; |
| 423 |
else if (isinf(d)) |
| 424 |
errno = ERANGE; |
| 425 |
#endif |
| 426 |
if (errno) { |
| 427 |
wputs(fname); |
| 428 |
if (errno == EDOM) |
| 429 |
wputs(": domain error\n"); |
| 430 |
else if (errno == ERANGE) |
| 431 |
wputs(": range error\n"); |
| 432 |
else |
| 433 |
wputs(": error in call\n"); |
| 434 |
return(0.0); |
| 435 |
} |
| 436 |
errno = lasterrno; |
| 437 |
return(d); |
| 438 |
} |
| 439 |
|
| 440 |
|
| 441 |
/* |
| 442 |
* Library functions: |
| 443 |
*/ |
| 444 |
|
| 445 |
|
| 446 |
static double |
| 447 |
l_if() /* if(cond, then, else) conditional expression */ |
| 448 |
/* cond evaluates true if greater than zero */ |
| 449 |
{ |
| 450 |
if (argument(1) > 0.0) |
| 451 |
return(argument(2)); |
| 452 |
else |
| 453 |
return(argument(3)); |
| 454 |
} |
| 455 |
|
| 456 |
|
| 457 |
static double |
| 458 |
l_select() /* return argument #(A1+1) */ |
| 459 |
{ |
| 460 |
register int n; |
| 461 |
|
| 462 |
n = argument(1) + .5; |
| 463 |
if (n == 0) |
| 464 |
return(nargum()-1); |
| 465 |
if (n < 1 || n > nargum()-1) { |
| 466 |
errno = EDOM; |
| 467 |
return(0.0); |
| 468 |
} |
| 469 |
return(argument(n+1)); |
| 470 |
} |
| 471 |
|
| 472 |
|
| 473 |
static double |
| 474 |
l_rand() /* random function between 0 and 1 */ |
| 475 |
{ |
| 476 |
double x; |
| 477 |
|
| 478 |
x = argument(1); |
| 479 |
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
| 480 |
x += .785398163397447 - floor(x); |
| 481 |
x = 1e5 / x; |
| 482 |
return(x - floor(x)); |
| 483 |
} |
| 484 |
|
| 485 |
|
| 486 |
static double |
| 487 |
l_floor() /* return largest integer not greater than arg1 */ |
| 488 |
{ |
| 489 |
return(floor(argument(1))); |
| 490 |
} |
| 491 |
|
| 492 |
|
| 493 |
static double |
| 494 |
l_ceil() /* return smallest integer not less than arg1 */ |
| 495 |
{ |
| 496 |
return(ceil(argument(1))); |
| 497 |
} |
| 498 |
|
| 499 |
|
| 500 |
#ifdef BIGLIB |
| 501 |
static double |
| 502 |
l_sqrt() |
| 503 |
{ |
| 504 |
return(sqrt(argument(1))); |
| 505 |
} |
| 506 |
|
| 507 |
|
| 508 |
static double |
| 509 |
l_sin() |
| 510 |
{ |
| 511 |
return(sin(argument(1))); |
| 512 |
} |
| 513 |
|
| 514 |
|
| 515 |
static double |
| 516 |
l_cos() |
| 517 |
{ |
| 518 |
return(cos(argument(1))); |
| 519 |
} |
| 520 |
|
| 521 |
|
| 522 |
static double |
| 523 |
l_tan() |
| 524 |
{ |
| 525 |
return(tan(argument(1))); |
| 526 |
} |
| 527 |
|
| 528 |
|
| 529 |
static double |
| 530 |
l_asin() |
| 531 |
{ |
| 532 |
return(asin(argument(1))); |
| 533 |
} |
| 534 |
|
| 535 |
|
| 536 |
static double |
| 537 |
l_acos() |
| 538 |
{ |
| 539 |
return(acos(argument(1))); |
| 540 |
} |
| 541 |
|
| 542 |
|
| 543 |
static double |
| 544 |
l_atan() |
| 545 |
{ |
| 546 |
return(atan(argument(1))); |
| 547 |
} |
| 548 |
|
| 549 |
|
| 550 |
static double |
| 551 |
l_atan2() |
| 552 |
{ |
| 553 |
return(atan2(argument(1), argument(2))); |
| 554 |
} |
| 555 |
|
| 556 |
|
| 557 |
static double |
| 558 |
l_exp() |
| 559 |
{ |
| 560 |
return(exp(argument(1))); |
| 561 |
} |
| 562 |
|
| 563 |
|
| 564 |
static double |
| 565 |
l_log() |
| 566 |
{ |
| 567 |
return(log(argument(1))); |
| 568 |
} |
| 569 |
|
| 570 |
|
| 571 |
static double |
| 572 |
l_log10() |
| 573 |
{ |
| 574 |
return(log10(argument(1))); |
| 575 |
} |
| 576 |
#endif |
