| 1 |
greg |
1.5 |
/* Copyright (c) 1991 Regents of the University of California */ |
| 2 |
greg |
1.1 |
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| 3 |
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#ifndef lint |
| 4 |
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static char SCCSid[] = "$SunId$ LBL"; |
| 5 |
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#endif |
| 6 |
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| 7 |
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/* |
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* calfunc.c - routines for calcomp using functions. |
| 9 |
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* |
| 10 |
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* The define BIGLIB pulls in a large number of the |
| 11 |
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* available math routines. |
| 12 |
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* |
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* If VARIABLE is not defined, only library functions |
| 14 |
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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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| 21 |
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#include <errno.h> |
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| 23 |
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#include "calcomp.h" |
| 24 |
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| 25 |
greg |
1.5 |
/* bits in argument flag (better be right!) */ |
| 26 |
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#define AFLAGSIZ (8*sizeof(unsigned long)) |
| 27 |
greg |
1.1 |
#define ALISTSIZ 6 /* maximum saved argument list */ |
| 28 |
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| 29 |
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typedef struct activation { |
| 30 |
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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(); |
| 40 |
greg |
1.1 |
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| 41 |
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#define MAXLIB 64 /* maximum number of library functions */ |
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| 43 |
greg |
1.2 |
static double l_if(), l_select(), l_rand(); |
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static double l_floor(), l_ceil(); |
| 45 |
greg |
1.1 |
#ifdef BIGLIB |
| 46 |
greg |
1.2 |
static double l_sqrt(); |
| 47 |
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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(); |
| 50 |
greg |
1.1 |
#endif |
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#ifdef BIGLIB |
| 53 |
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/* functions must be listed alphabetically */ |
| 54 |
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static LIBR library[MAXLIB] = { |
| 55 |
greg |
1.4 |
{ "acos", 1, ':', l_acos }, |
| 56 |
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{ "asin", 1, ':', l_asin }, |
| 57 |
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{ "atan", 1, ':', l_atan }, |
| 58 |
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{ "atan2", 2, ':', l_atan2 }, |
| 59 |
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{ "ceil", 1, ':', l_ceil }, |
| 60 |
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{ "cos", 1, ':', l_cos }, |
| 61 |
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{ "exp", 1, ':', l_exp }, |
| 62 |
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{ "floor", 1, ':', l_floor }, |
| 63 |
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{ "if", 3, ':', l_if }, |
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{ "log", 1, ':', l_log }, |
| 65 |
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{ "log10", 1, ':', l_log10 }, |
| 66 |
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{ "rand", 1, ':', l_rand }, |
| 67 |
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{ "select", 1, ':', l_select }, |
| 68 |
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{ "sin", 1, ':', l_sin }, |
| 69 |
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{ "sqrt", 1, ':', l_sqrt }, |
| 70 |
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{ "tan", 1, ':', l_tan }, |
| 71 |
greg |
1.1 |
}; |
| 72 |
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| 73 |
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static int libsize = 16; |
| 74 |
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| 75 |
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#else |
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/* functions must be listed alphabetically */ |
| 77 |
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static LIBR library[MAXLIB] = { |
| 78 |
greg |
1.4 |
{ "ceil", 1, ':', l_ceil }, |
| 79 |
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{ "floor", 1, ':', l_floor }, |
| 80 |
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{ "if", 3, ':', l_if }, |
| 81 |
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{ "rand", 1, ':', l_rand }, |
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{ "select", 1, ':', l_select }, |
| 83 |
greg |
1.1 |
}; |
| 84 |
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static int libsize = 5; |
| 86 |
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| 87 |
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#endif |
| 88 |
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| 89 |
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extern char *savestr(), *emalloc(); |
| 90 |
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| 91 |
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extern VARDEF *argf(); |
| 92 |
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| 93 |
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#ifdef VARIABLE |
| 94 |
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#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
| 95 |
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#else |
| 96 |
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#define resolve(ep) ((ep)->v.ln) |
| 97 |
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#define varlookup(name) NULL |
| 98 |
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#endif |
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int |
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fundefined(fname) /* return # of arguments for function */ |
| 103 |
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char *fname; |
| 104 |
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{ |
| 105 |
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LIBR *lp; |
| 106 |
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register VARDEF *vp; |
| 107 |
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| 108 |
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
| 109 |
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|| vp->def->v.kid->type != FUNC) |
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if ((lp = liblookup(fname)) == NULL) |
| 111 |
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return(0); |
| 112 |
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else |
| 113 |
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return(lp->nargs); |
| 114 |
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else |
| 115 |
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return(nekids(vp->def->v.kid) - 1); |
| 116 |
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} |
| 117 |
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| 118 |
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| 119 |
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double |
| 120 |
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funvalue(fname, n, a) /* return a function value to the user */ |
| 121 |
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char *fname; |
| 122 |
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int n; |
| 123 |
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double *a; |
| 124 |
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{ |
| 125 |
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ACTIVATION act; |
| 126 |
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register VARDEF *vp; |
| 127 |
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double rval; |
| 128 |
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/* push environment */ |
| 129 |
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act.name = fname; |
| 130 |
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act.prev = curact; |
| 131 |
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act.ap = a; |
| 132 |
greg |
1.5 |
if (n >= AFLAGSIZ) |
| 133 |
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act.an = ~0; |
| 134 |
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else |
| 135 |
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act.an = (1L<<n)-1; |
| 136 |
greg |
1.1 |
act.fun = NULL; |
| 137 |
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curact = &act; |
| 138 |
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| 139 |
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if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
| 140 |
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|| vp->def->v.kid->type != FUNC) |
| 141 |
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rval = libfunc(fname, vp); |
| 142 |
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else |
| 143 |
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rval = evalue(vp->def->v.kid->sibling); |
| 144 |
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| 145 |
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curact = act.prev; /* pop environment */ |
| 146 |
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return(rval); |
| 147 |
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} |
| 148 |
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| 149 |
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| 150 |
greg |
1.4 |
funset(fname, nargs, assign, fptr) /* set a library function */ |
| 151 |
greg |
1.1 |
char *fname; |
| 152 |
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int nargs; |
| 153 |
greg |
1.4 |
int assign; |
| 154 |
greg |
1.1 |
double (*fptr)(); |
| 155 |
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{ |
| 156 |
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register LIBR *lp; |
| 157 |
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| 158 |
greg |
2.2 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
| 159 |
greg |
1.1 |
if (libsize >= MAXLIB) { |
| 160 |
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eputs("Too many library functons!\n"); |
| 161 |
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quit(1); |
| 162 |
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} |
| 163 |
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for (lp = &library[libsize]; lp > library; lp--) |
| 164 |
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if (strcmp(lp[-1].fname, fname) > 0) { |
| 165 |
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lp[0].fname = lp[-1].fname; |
| 166 |
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lp[0].nargs = lp[-1].nargs; |
| 167 |
greg |
1.4 |
lp[0].atyp = lp[-1].atyp; |
| 168 |
greg |
1.1 |
lp[0].f = lp[-1].f; |
| 169 |
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} else |
| 170 |
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break; |
| 171 |
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libsize++; |
| 172 |
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} |
| 173 |
greg |
2.2 |
if (fptr == NULL) { /* delete */ |
| 174 |
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while (lp < &library[libsize-1]) { |
| 175 |
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lp[0].fname = lp[1].fname; |
| 176 |
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lp[0].nargs = lp[1].nargs; |
| 177 |
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lp[0].atyp = lp[1].atyp; |
| 178 |
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lp[0].f = lp[1].f; |
| 179 |
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lp++; |
| 180 |
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} |
| 181 |
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libsize--; |
| 182 |
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} else { /* or assign */ |
| 183 |
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lp[0].fname = fname; /* string must be static! */ |
| 184 |
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lp[0].nargs = nargs; |
| 185 |
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lp[0].atyp = assign; |
| 186 |
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lp[0].f = fptr; |
| 187 |
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} |
| 188 |
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libupdate(fname); /* relink library */ |
| 189 |
greg |
1.1 |
} |
| 190 |
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| 191 |
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| 192 |
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int |
| 193 |
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nargum() /* return number of available arguments */ |
| 194 |
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{ |
| 195 |
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register int n; |
| 196 |
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| 197 |
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if (curact == NULL) |
| 198 |
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return(0); |
| 199 |
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if (curact->fun == NULL) { |
| 200 |
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for (n = 0; (1L<<n) & curact->an; n++) |
| 201 |
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; |
| 202 |
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return(n); |
| 203 |
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} |
| 204 |
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return(nekids(curact->fun) - 1); |
| 205 |
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} |
| 206 |
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| 207 |
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| 208 |
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double |
| 209 |
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argument(n) /* return nth argument for active function */ |
| 210 |
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register int n; |
| 211 |
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{ |
| 212 |
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register ACTIVATION *actp = curact; |
| 213 |
greg |
1.7 |
register EPNODE *ep; |
| 214 |
greg |
1.1 |
double aval; |
| 215 |
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| 216 |
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if (actp == NULL || --n < 0) { |
| 217 |
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eputs("Bad call to argument!\n"); |
| 218 |
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quit(1); |
| 219 |
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} |
| 220 |
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/* already computed? */ |
| 221 |
greg |
1.5 |
if (n < AFLAGSIZ && 1L<<n & actp->an) |
| 222 |
greg |
1.1 |
return(actp->ap[n]); |
| 223 |
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| 224 |
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if (actp->fun == NULL || (ep = ekid(actp->fun, n+1)) == NULL) { |
| 225 |
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eputs(actp->name); |
| 226 |
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eputs(": too few arguments\n"); |
| 227 |
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quit(1); |
| 228 |
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} |
| 229 |
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curact = actp->prev; /* pop environment */ |
| 230 |
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aval = evalue(ep); /* compute argument */ |
| 231 |
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curact = actp; /* push back environment */ |
| 232 |
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if (n < ALISTSIZ) { /* save value */ |
| 233 |
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actp->ap[n] = aval; |
| 234 |
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actp->an |= 1L<<n; |
| 235 |
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} |
| 236 |
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return(aval); |
| 237 |
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} |
| 238 |
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| 239 |
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| 240 |
|
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#ifdef VARIABLE |
| 241 |
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VARDEF * |
| 242 |
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argf(n) /* return function def for nth argument */ |
| 243 |
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int n; |
| 244 |
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{ |
| 245 |
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register ACTIVATION *actp; |
| 246 |
|
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register EPNODE *ep; |
| 247 |
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| 248 |
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for (actp = curact; actp != NULL; actp = actp->prev) { |
| 249 |
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| 250 |
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if (n <= 0) |
| 251 |
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break; |
| 252 |
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| 253 |
|
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if (actp->fun == NULL) |
| 254 |
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goto badarg; |
| 255 |
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| 256 |
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if ((ep = ekid(actp->fun, n)) == NULL) { |
| 257 |
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eputs(actp->name); |
| 258 |
|
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eputs(": too few arguments\n"); |
| 259 |
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quit(1); |
| 260 |
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} |
| 261 |
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if (ep->type == VAR) |
| 262 |
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return(ep->v.ln); /* found it */ |
| 263 |
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| 264 |
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if (ep->type != ARG) |
| 265 |
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goto badarg; |
| 266 |
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| 267 |
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n = ep->v.chan; /* try previous context */ |
| 268 |
|
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} |
| 269 |
|
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eputs("Bad call to argf!\n"); |
| 270 |
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quit(1); |
| 271 |
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| 272 |
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badarg: |
| 273 |
|
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eputs(actp->name); |
| 274 |
|
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eputs(": argument not a function\n"); |
| 275 |
|
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quit(1); |
| 276 |
|
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} |
| 277 |
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| 278 |
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| 279 |
|
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char * |
| 280 |
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argfun(n) /* return function name for nth argument */ |
| 281 |
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int n; |
| 282 |
|
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{ |
| 283 |
|
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return(argf(n)->name); |
| 284 |
|
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} |
| 285 |
|
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#endif |
| 286 |
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| 287 |
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| 288 |
|
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double |
| 289 |
|
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efunc(ep) /* evaluate a function */ |
| 290 |
|
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register EPNODE *ep; |
| 291 |
|
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{ |
| 292 |
|
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ACTIVATION act; |
| 293 |
|
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double alist[ALISTSIZ]; |
| 294 |
|
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double rval; |
| 295 |
|
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register VARDEF *dp; |
| 296 |
|
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/* push environment */ |
| 297 |
|
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dp = resolve(ep->v.kid); |
| 298 |
|
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act.name = dp->name; |
| 299 |
|
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act.prev = curact; |
| 300 |
|
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act.ap = alist; |
| 301 |
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act.an = 0; |
| 302 |
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act.fun = ep; |
| 303 |
|
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curact = &act; |
| 304 |
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|
| 305 |
|
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if (dp->def == NULL || dp->def->v.kid->type != FUNC) |
| 306 |
|
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rval = libfunc(act.name, dp); |
| 307 |
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else |
| 308 |
|
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rval = evalue(dp->def->v.kid->sibling); |
| 309 |
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|
| 310 |
|
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curact = act.prev; /* pop environment */ |
| 311 |
|
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return(rval); |
| 312 |
|
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} |
| 313 |
|
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|
| 314 |
|
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| 315 |
|
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LIBR * |
| 316 |
|
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liblookup(fname) /* look up a library function */ |
| 317 |
|
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char *fname; |
| 318 |
|
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{ |
| 319 |
|
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int upper, lower; |
| 320 |
|
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register int cm, i; |
| 321 |
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|
| 322 |
|
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lower = 0; |
| 323 |
|
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upper = cm = libsize; |
| 324 |
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|
|
| 325 |
|
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while ((i = (lower + upper) >> 1) != cm) { |
| 326 |
|
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cm = strcmp(fname, library[i].fname); |
| 327 |
|
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if (cm > 0) |
| 328 |
|
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lower = i; |
| 329 |
|
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else if (cm < 0) |
| 330 |
|
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upper = i; |
| 331 |
|
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else |
| 332 |
|
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return(&library[i]); |
| 333 |
|
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cm = i; |
| 334 |
|
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} |
| 335 |
|
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return(NULL); |
| 336 |
|
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} |
| 337 |
|
|
|
| 338 |
|
|
|
| 339 |
|
|
#ifndef VARIABLE |
| 340 |
|
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VARDEF * |
| 341 |
|
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varinsert(vname) /* dummy variable insert */ |
| 342 |
|
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char *vname; |
| 343 |
|
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{ |
| 344 |
|
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register VARDEF *vp; |
| 345 |
|
|
|
| 346 |
|
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vp = (VARDEF *)emalloc(sizeof(VARDEF)); |
| 347 |
|
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vp->name = savestr(vname); |
| 348 |
|
|
vp->nlinks = 1; |
| 349 |
|
|
vp->def = NULL; |
| 350 |
|
|
vp->lib = NULL; |
| 351 |
|
|
vp->next = NULL; |
| 352 |
|
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return(vp); |
| 353 |
|
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} |
| 354 |
|
|
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| 355 |
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|
|
| 356 |
|
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varfree(vp) /* free dummy variable */ |
| 357 |
|
|
register VARDEF *vp; |
| 358 |
|
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{ |
| 359 |
|
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freestr(vp->name); |
| 360 |
|
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efree((char *)vp); |
| 361 |
|
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} |
| 362 |
|
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#endif |
| 363 |
|
|
|
| 364 |
|
|
|
| 365 |
|
|
|
| 366 |
|
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/* |
| 367 |
|
|
* The following routines are for internal use: |
| 368 |
|
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*/ |
| 369 |
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| 370 |
|
|
|
| 371 |
|
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static double |
| 372 |
|
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libfunc(fname, vp) /* execute library function */ |
| 373 |
|
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char *fname; |
| 374 |
|
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register VARDEF *vp; |
| 375 |
|
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{ |
| 376 |
|
|
VARDEF dumdef; |
| 377 |
|
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double d; |
| 378 |
|
|
int lasterrno; |
| 379 |
|
|
|
| 380 |
|
|
if (vp == NULL) { |
| 381 |
|
|
vp = &dumdef; |
| 382 |
greg |
2.2 |
vp->lib = liblookup(fname); |
| 383 |
greg |
1.1 |
} |
| 384 |
greg |
2.2 |
if (vp->lib == NULL) { |
| 385 |
greg |
1.1 |
eputs(fname); |
| 386 |
|
|
eputs(": undefined function\n"); |
| 387 |
|
|
quit(1); |
| 388 |
|
|
} |
| 389 |
|
|
lasterrno = errno; |
| 390 |
|
|
errno = 0; |
| 391 |
greg |
1.6 |
d = (*vp->lib->f)(vp->lib->fname); |
| 392 |
greg |
1.1 |
#ifdef IEEE |
| 393 |
greg |
1.9 |
if (errno == 0) |
| 394 |
|
|
if (isnan(d)) |
| 395 |
|
|
errno = EDOM; |
| 396 |
|
|
else if (isinf(d)) |
| 397 |
|
|
errno = ERANGE; |
| 398 |
greg |
1.1 |
#endif |
| 399 |
|
|
if (errno) { |
| 400 |
|
|
wputs(fname); |
| 401 |
greg |
1.8 |
if (errno == EDOM) |
| 402 |
|
|
wputs(": domain error\n"); |
| 403 |
|
|
else if (errno == ERANGE) |
| 404 |
|
|
wputs(": range error\n"); |
| 405 |
|
|
else |
| 406 |
|
|
wputs(": error in call\n"); |
| 407 |
greg |
1.1 |
return(0.0); |
| 408 |
|
|
} |
| 409 |
|
|
errno = lasterrno; |
| 410 |
|
|
return(d); |
| 411 |
|
|
} |
| 412 |
|
|
|
| 413 |
|
|
|
| 414 |
|
|
/* |
| 415 |
|
|
* Library functions: |
| 416 |
|
|
*/ |
| 417 |
|
|
|
| 418 |
|
|
|
| 419 |
|
|
static double |
| 420 |
|
|
l_if() /* if(cond, then, else) conditional expression */ |
| 421 |
|
|
/* cond evaluates true if greater than zero */ |
| 422 |
|
|
{ |
| 423 |
|
|
if (argument(1) > 0.0) |
| 424 |
|
|
return(argument(2)); |
| 425 |
|
|
else |
| 426 |
|
|
return(argument(3)); |
| 427 |
|
|
} |
| 428 |
|
|
|
| 429 |
|
|
|
| 430 |
|
|
static double |
| 431 |
|
|
l_select() /* return argument #(A1+1) */ |
| 432 |
|
|
{ |
| 433 |
|
|
register int n; |
| 434 |
|
|
|
| 435 |
|
|
n = argument(1) + .5; |
| 436 |
|
|
if (n == 0) |
| 437 |
|
|
return(nargum()-1); |
| 438 |
|
|
if (n < 1 || n > nargum()-1) { |
| 439 |
|
|
errno = EDOM; |
| 440 |
|
|
return(0.0); |
| 441 |
|
|
} |
| 442 |
|
|
return(argument(n+1)); |
| 443 |
|
|
} |
| 444 |
|
|
|
| 445 |
|
|
|
| 446 |
|
|
static double |
| 447 |
|
|
l_rand() /* random function between 0 and 1 */ |
| 448 |
|
|
{ |
| 449 |
|
|
extern double floor(); |
| 450 |
|
|
double x; |
| 451 |
|
|
|
| 452 |
|
|
x = argument(1); |
| 453 |
|
|
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
| 454 |
|
|
x += .785398163397447 - floor(x); |
| 455 |
|
|
x = 1e5 / x; |
| 456 |
|
|
return(x - floor(x)); |
| 457 |
|
|
} |
| 458 |
|
|
|
| 459 |
|
|
|
| 460 |
|
|
static double |
| 461 |
|
|
l_floor() /* return largest integer not greater than arg1 */ |
| 462 |
|
|
{ |
| 463 |
|
|
extern double floor(); |
| 464 |
|
|
|
| 465 |
|
|
return(floor(argument(1))); |
| 466 |
|
|
} |
| 467 |
|
|
|
| 468 |
|
|
|
| 469 |
|
|
static double |
| 470 |
|
|
l_ceil() /* return smallest integer not less than arg1 */ |
| 471 |
|
|
{ |
| 472 |
|
|
extern double ceil(); |
| 473 |
|
|
|
| 474 |
|
|
return(ceil(argument(1))); |
| 475 |
|
|
} |
| 476 |
|
|
|
| 477 |
|
|
|
| 478 |
|
|
#ifdef BIGLIB |
| 479 |
|
|
static double |
| 480 |
|
|
l_sqrt() |
| 481 |
|
|
{ |
| 482 |
|
|
extern double sqrt(); |
| 483 |
|
|
|
| 484 |
|
|
return(sqrt(argument(1))); |
| 485 |
|
|
} |
| 486 |
|
|
|
| 487 |
|
|
|
| 488 |
|
|
static double |
| 489 |
|
|
l_sin() |
| 490 |
|
|
{ |
| 491 |
|
|
extern double sin(); |
| 492 |
|
|
|
| 493 |
|
|
return(sin(argument(1))); |
| 494 |
|
|
} |
| 495 |
|
|
|
| 496 |
|
|
|
| 497 |
|
|
static double |
| 498 |
|
|
l_cos() |
| 499 |
|
|
{ |
| 500 |
|
|
extern double cos(); |
| 501 |
|
|
|
| 502 |
|
|
return(cos(argument(1))); |
| 503 |
|
|
} |
| 504 |
|
|
|
| 505 |
|
|
|
| 506 |
|
|
static double |
| 507 |
|
|
l_tan() |
| 508 |
|
|
{ |
| 509 |
|
|
extern double tan(); |
| 510 |
|
|
|
| 511 |
|
|
return(tan(argument(1))); |
| 512 |
|
|
} |
| 513 |
|
|
|
| 514 |
|
|
|
| 515 |
|
|
static double |
| 516 |
|
|
l_asin() |
| 517 |
|
|
{ |
| 518 |
|
|
extern double asin(); |
| 519 |
|
|
|
| 520 |
|
|
return(asin(argument(1))); |
| 521 |
|
|
} |
| 522 |
|
|
|
| 523 |
|
|
|
| 524 |
|
|
static double |
| 525 |
|
|
l_acos() |
| 526 |
|
|
{ |
| 527 |
|
|
extern double acos(); |
| 528 |
|
|
|
| 529 |
|
|
return(acos(argument(1))); |
| 530 |
|
|
} |
| 531 |
|
|
|
| 532 |
|
|
|
| 533 |
|
|
static double |
| 534 |
|
|
l_atan() |
| 535 |
|
|
{ |
| 536 |
|
|
extern double atan(); |
| 537 |
|
|
|
| 538 |
|
|
return(atan(argument(1))); |
| 539 |
|
|
} |
| 540 |
|
|
|
| 541 |
|
|
|
| 542 |
|
|
static double |
| 543 |
|
|
l_atan2() |
| 544 |
|
|
{ |
| 545 |
|
|
extern double atan2(); |
| 546 |
|
|
|
| 547 |
|
|
return(atan2(argument(1), argument(2))); |
| 548 |
|
|
} |
| 549 |
|
|
|
| 550 |
|
|
|
| 551 |
|
|
static double |
| 552 |
|
|
l_exp() |
| 553 |
|
|
{ |
| 554 |
|
|
extern double exp(); |
| 555 |
|
|
|
| 556 |
|
|
return(exp(argument(1))); |
| 557 |
|
|
} |
| 558 |
|
|
|
| 559 |
|
|
|
| 560 |
|
|
static double |
| 561 |
|
|
l_log() |
| 562 |
|
|
{ |
| 563 |
|
|
extern double log(); |
| 564 |
|
|
|
| 565 |
|
|
return(log(argument(1))); |
| 566 |
|
|
} |
| 567 |
|
|
|
| 568 |
|
|
|
| 569 |
|
|
static double |
| 570 |
|
|
l_log10() |
| 571 |
|
|
{ |
| 572 |
|
|
extern double log10(); |
| 573 |
|
|
|
| 574 |
|
|
return(log10(argument(1))); |
| 575 |
|
|
} |
| 576 |
|
|
#endif |
