| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id: calfunc.c,v 2.19 2019/03/04 18:16:18 greg Exp $"; |
| 3 |
#endif |
| 4 |
/* |
| 5 |
* calfunc.c - routines for calcomp using functions. |
| 6 |
* |
| 7 |
* If VARIABLE is not set, only library functions |
| 8 |
* can be accessed. |
| 9 |
* |
| 10 |
* 2/19/03 Eliminated conditional compiles in favor of esupport extern. |
| 11 |
*/ |
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|
| 13 |
#include "copyright.h" |
| 14 |
|
| 15 |
#include <stdio.h> |
| 16 |
#include <string.h> |
| 17 |
#include <errno.h> |
| 18 |
#include <math.h> |
| 19 |
|
| 20 |
#include "rterror.h" |
| 21 |
#include "calcomp.h" |
| 22 |
|
| 23 |
/* bits in argument flag (better be right!) */ |
| 24 |
#define AFLAGSIZ (8*sizeof(unsigned long)) |
| 25 |
#define ALISTSIZ 8 /* maximum saved argument list */ |
| 26 |
|
| 27 |
typedef struct activation { |
| 28 |
char *name; /* function name */ |
| 29 |
struct activation *prev; /* previous activation */ |
| 30 |
double *ap; /* argument list */ |
| 31 |
unsigned long an; /* computed argument flags */ |
| 32 |
EPNODE *fun; /* argument function */ |
| 33 |
} ACTIVATION; /* an activation record */ |
| 34 |
|
| 35 |
static ACTIVATION *curact = NULL; |
| 36 |
|
| 37 |
static double libfunc(char *fname, VARDEF *vp); |
| 38 |
|
| 39 |
#ifndef MAXLIB |
| 40 |
#define MAXLIB 64 /* maximum number of library functions */ |
| 41 |
#endif |
| 42 |
|
| 43 |
static double l_if(char *), l_select(char *), l_rand(char *); |
| 44 |
static double l_floor(char *), l_ceil(char *); |
| 45 |
static double l_sqrt(char *); |
| 46 |
static double l_sin(char *), l_cos(char *), l_tan(char *); |
| 47 |
static double l_asin(char *), l_acos(char *), l_atan(char *), l_atan2(char *); |
| 48 |
static double l_exp(char *), l_log(char *), l_log10(char *); |
| 49 |
|
| 50 |
/* functions must be listed alphabetically */ |
| 51 |
static LIBR library[MAXLIB] = { |
| 52 |
{ "acos", 1, ':', l_acos }, |
| 53 |
{ "asin", 1, ':', l_asin }, |
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{ "atan", 1, ':', l_atan }, |
| 55 |
{ "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 }, |
| 61 |
{ "log", 1, ':', l_log }, |
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{ "log10", 1, ':', l_log10 }, |
| 63 |
{ "rand", 1, ':', l_rand }, |
| 64 |
{ "select", 1, ':', l_select }, |
| 65 |
{ "sin", 1, ':', l_sin }, |
| 66 |
{ "sqrt", 1, ':', l_sqrt }, |
| 67 |
{ "tan", 1, ':', l_tan }, |
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}; |
| 69 |
|
| 70 |
static int libsize = 16; |
| 71 |
|
| 72 |
#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
| 73 |
|
| 74 |
|
| 75 |
int |
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fundefined( /* return # of arguments for function */ |
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char *fname |
| 78 |
) |
| 79 |
{ |
| 80 |
LIBR *lp; |
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VARDEF *vp; |
| 82 |
|
| 83 |
if ((vp = varlookup(fname)) != NULL && vp->def != NULL |
| 84 |
&& vp->def->v.kid->type == FUNC) |
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return(nekids(vp->def->v.kid) - 1); |
| 86 |
lp = vp != NULL ? vp->lib : liblookup(fname); |
| 87 |
if (lp == NULL) |
| 88 |
return(0); |
| 89 |
return(lp->nargs); |
| 90 |
} |
| 91 |
|
| 92 |
|
| 93 |
double |
| 94 |
funvalue( /* return a function value to the user */ |
| 95 |
char *fname, |
| 96 |
int n, |
| 97 |
double *a |
| 98 |
) |
| 99 |
{ |
| 100 |
ACTIVATION act; |
| 101 |
VARDEF *vp; |
| 102 |
double rval; |
| 103 |
/* push environment */ |
| 104 |
act.name = fname; |
| 105 |
act.prev = curact; |
| 106 |
act.ap = a; |
| 107 |
if (n < AFLAGSIZ) |
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act.an = (1L<<n)-1; |
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else { |
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act.an = ~0; |
| 111 |
if (n > AFLAGSIZ) |
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wputs("Excess arguments in funvalue()\n"); |
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} |
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act.fun = NULL; |
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curact = &act; |
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|
| 117 |
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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} |
| 126 |
|
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|
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void |
| 129 |
funset( /* set a library function */ |
| 130 |
char *fname, |
| 131 |
int nargs, |
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int assign, |
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double (*fptr)(char *) |
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) |
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{ |
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int oldlibsize = libsize; |
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char *cp; |
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LIBR *lp; |
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/* check for context */ |
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for (cp = fname; *cp; cp++) |
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; |
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if (cp == fname) |
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return; |
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if (cp[-1] == CNTXMARK) |
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*--cp = '\0'; |
| 146 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
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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] = lp[-1]; |
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else |
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break; |
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libsize++; |
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} |
| 158 |
if (fptr == NULL) { /* delete */ |
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while (lp < &library[libsize-1]) { |
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lp[0] = lp[1]; |
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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(void) /* return number of available arguments */ |
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{ |
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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(int n) /* return nth argument for active function */ |
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{ |
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ACTIVATION *actp = curact; |
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EPNODE *ep = NULL; |
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double aval; |
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|
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if (!actp | (--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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if ((n < AFLAGSIZ) & actp->an >> n) /* already computed? */ |
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return(actp->ap[n]); |
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|
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if (!actp->fun || !(ep = ekid(actp->fun, n+1))) { |
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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; /* previous context */ |
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aval = evalue(ep); /* compute argument */ |
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curact = actp; /* put back calling context */ |
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if (n < ALISTSIZ) { /* save value if room */ |
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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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VARDEF * |
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argf(int n) /* return function def for nth argument */ |
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{ |
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ACTIVATION *actp; |
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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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return NULL; /* pro forma return */ |
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} |
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|
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|
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char * |
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argfun(int n) /* return function name for nth argument */ |
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{ |
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return(argf(n)->name); |
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} |
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|
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|
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double |
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efunc(EPNODE *ep) /* evaluate a function */ |
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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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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 * |
| 293 |
liblookup(char *fname) /* look up a library function */ |
| 294 |
{ |
| 295 |
int upper, lower; |
| 296 |
int cm, i; |
| 297 |
|
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lower = 0; |
| 299 |
upper = cm = libsize; |
| 300 |
|
| 301 |
while ((i = (lower + upper) >> 1) != cm) { |
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cm = strcmp(fname, library[i].fname); |
| 303 |
if (cm > 0) |
| 304 |
lower = i; |
| 305 |
else if (cm < 0) |
| 306 |
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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/* |
| 316 |
* The following routines are for internal use: |
| 317 |
*/ |
| 318 |
|
| 319 |
|
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static double |
| 321 |
libfunc( /* execute library function */ |
| 322 |
char *fname, |
| 323 |
VARDEF *vp |
| 324 |
) |
| 325 |
{ |
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LIBR *lp; |
| 327 |
double d; |
| 328 |
int lasterrno; |
| 329 |
|
| 330 |
if (vp != NULL) |
| 331 |
lp = vp->lib; |
| 332 |
else |
| 333 |
lp = liblookup(fname); |
| 334 |
if (lp == NULL) { |
| 335 |
eputs(fname); |
| 336 |
eputs(": undefined function\n"); |
| 337 |
quit(1); |
| 338 |
} |
| 339 |
lasterrno = errno; |
| 340 |
errno = 0; |
| 341 |
d = (*lp->f)(lp->fname); |
| 342 |
#ifdef isnan |
| 343 |
if (errno == 0) { |
| 344 |
if (isnan(d)) |
| 345 |
errno = EDOM; |
| 346 |
else if (isinf(d)) |
| 347 |
errno = ERANGE; |
| 348 |
} |
| 349 |
#endif |
| 350 |
if (errno == EDOM || errno == ERANGE) { |
| 351 |
wputs(fname); |
| 352 |
if (errno == EDOM) |
| 353 |
wputs(": domain error\n"); |
| 354 |
else if (errno == ERANGE) |
| 355 |
wputs(": range error\n"); |
| 356 |
else |
| 357 |
wputs(": error in call\n"); |
| 358 |
return(0.0); |
| 359 |
} |
| 360 |
errno = lasterrno; |
| 361 |
return(d); |
| 362 |
} |
| 363 |
|
| 364 |
|
| 365 |
/* |
| 366 |
* Library functions: |
| 367 |
*/ |
| 368 |
|
| 369 |
|
| 370 |
static double |
| 371 |
l_if(char *nm) /* if(cond, then, else) conditional expression */ |
| 372 |
/* cond evaluates true if greater than zero */ |
| 373 |
{ |
| 374 |
if (argument(1) > 0.0) |
| 375 |
return(argument(2)); |
| 376 |
else |
| 377 |
return(argument(3)); |
| 378 |
} |
| 379 |
|
| 380 |
|
| 381 |
static double |
| 382 |
l_select(char *nm) /* return argument #(A1+1) */ |
| 383 |
{ |
| 384 |
int n; |
| 385 |
|
| 386 |
n = (int)(argument(1) + .5); |
| 387 |
if (n == 0) |
| 388 |
return(nargum()-1); |
| 389 |
if (n < 1 || n > nargum()-1) { |
| 390 |
errno = EDOM; |
| 391 |
return(0.0); |
| 392 |
} |
| 393 |
return(argument(n+1)); |
| 394 |
} |
| 395 |
|
| 396 |
|
| 397 |
static double |
| 398 |
l_rand(char *nm) /* random function between 0 and 1 */ |
| 399 |
{ |
| 400 |
double x; |
| 401 |
|
| 402 |
x = argument(1); |
| 403 |
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
| 404 |
x += .785398163397447 - floor(x); |
| 405 |
x = 1e5 / x; |
| 406 |
return(x - floor(x)); |
| 407 |
} |
| 408 |
|
| 409 |
|
| 410 |
static double |
| 411 |
l_floor(char *nm) /* return largest integer not greater than arg1 */ |
| 412 |
{ |
| 413 |
return(floor(argument(1))); |
| 414 |
} |
| 415 |
|
| 416 |
|
| 417 |
static double |
| 418 |
l_ceil(char *nm) /* return smallest integer not less than arg1 */ |
| 419 |
{ |
| 420 |
return(ceil(argument(1))); |
| 421 |
} |
| 422 |
|
| 423 |
|
| 424 |
static double |
| 425 |
l_sqrt(char *nm) |
| 426 |
{ |
| 427 |
return(sqrt(argument(1))); |
| 428 |
} |
| 429 |
|
| 430 |
|
| 431 |
static double |
| 432 |
l_sin(char *nm) |
| 433 |
{ |
| 434 |
return(sin(argument(1))); |
| 435 |
} |
| 436 |
|
| 437 |
|
| 438 |
static double |
| 439 |
l_cos(char *nm) |
| 440 |
{ |
| 441 |
return(cos(argument(1))); |
| 442 |
} |
| 443 |
|
| 444 |
|
| 445 |
static double |
| 446 |
l_tan(char *nm) |
| 447 |
{ |
| 448 |
return(tan(argument(1))); |
| 449 |
} |
| 450 |
|
| 451 |
|
| 452 |
static double |
| 453 |
l_asin(char *nm) |
| 454 |
{ |
| 455 |
return(asin(argument(1))); |
| 456 |
} |
| 457 |
|
| 458 |
|
| 459 |
static double |
| 460 |
l_acos(char *nm) |
| 461 |
{ |
| 462 |
return(acos(argument(1))); |
| 463 |
} |
| 464 |
|
| 465 |
|
| 466 |
static double |
| 467 |
l_atan(char *nm) |
| 468 |
{ |
| 469 |
return(atan(argument(1))); |
| 470 |
} |
| 471 |
|
| 472 |
|
| 473 |
static double |
| 474 |
l_atan2(char *nm) |
| 475 |
{ |
| 476 |
return(atan2(argument(1), argument(2))); |
| 477 |
} |
| 478 |
|
| 479 |
|
| 480 |
static double |
| 481 |
l_exp(char *nm) |
| 482 |
{ |
| 483 |
return(exp(argument(1))); |
| 484 |
} |
| 485 |
|
| 486 |
|
| 487 |
static double |
| 488 |
l_log(char *nm) |
| 489 |
{ |
| 490 |
return(log(argument(1))); |
| 491 |
} |
| 492 |
|
| 493 |
|
| 494 |
static double |
| 495 |
l_log10(char *nm) |
| 496 |
{ |
| 497 |
return(log10(argument(1))); |
| 498 |
} |
