| 1 |
#ifndef lint |
| 2 |
static const char RCSid[] = "$Id: calfunc.c,v 2.27 2021/09/27 23:30:53 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 |
*/ |
| 12 |
|
| 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 *); |
| 44 |
static double l_min(char *), l_max(char *); |
| 45 |
static double l_rand(char *); |
| 46 |
static double l_floor(char *), l_ceil(char *); |
| 47 |
static double l_sqrt(char *); |
| 48 |
static double l_sin(char *), l_cos(char *), l_tan(char *); |
| 49 |
static double l_asin(char *), l_acos(char *), l_atan(char *), l_atan2(char *); |
| 50 |
static double l_exp(char *), l_log(char *), l_log10(char *); |
| 51 |
|
| 52 |
/* functions must be listed alphabetically */ |
| 53 |
static LIBR library[MAXLIB] = { |
| 54 |
{ "acos", 1, ':', l_acos }, |
| 55 |
{ "asin", 1, ':', l_asin }, |
| 56 |
{ "atan", 1, ':', l_atan }, |
| 57 |
{ "atan2", 2, ':', l_atan2 }, |
| 58 |
{ "ceil", 1, ':', l_ceil }, |
| 59 |
{ "cos", 1, ':', l_cos }, |
| 60 |
{ "exp", 1, ':', l_exp }, |
| 61 |
{ "floor", 1, ':', l_floor }, |
| 62 |
{ "if", 3, ':', l_if }, |
| 63 |
{ "log", 1, ':', l_log }, |
| 64 |
{ "log10", 1, ':', l_log10 }, |
| 65 |
{ "max", 1, ':', l_max }, |
| 66 |
{ "min", 1, ':', l_min }, |
| 67 |
{ "rand", 1, ':', l_rand }, |
| 68 |
{ "select", 1, ':', l_select }, |
| 69 |
{ "sin", 1, ':', l_sin }, |
| 70 |
{ "sqrt", 1, ':', l_sqrt }, |
| 71 |
{ "tan", 1, ':', l_tan }, |
| 72 |
}; |
| 73 |
|
| 74 |
static int libsize = 18; |
| 75 |
|
| 76 |
#define resolve(ep) ((ep)->type==VAR?(ep)->v.ln:argf((ep)->v.chan)) |
| 77 |
|
| 78 |
|
| 79 |
int |
| 80 |
fundefined( /* return # of req'd arguments for function */ |
| 81 |
char *fname |
| 82 |
) |
| 83 |
{ |
| 84 |
LIBR *lp; |
| 85 |
VARDEF *vp; |
| 86 |
|
| 87 |
if ((vp = varlookup(fname)) != NULL && vp->def != NULL |
| 88 |
&& vp->def->v.kid->type == FUNC) |
| 89 |
return(nekids(vp->def->v.kid) - 1); |
| 90 |
lp = vp != NULL ? vp->lib : liblookup(fname); |
| 91 |
if (lp == NULL) |
| 92 |
return(0); |
| 93 |
return(lp->nargs); |
| 94 |
} |
| 95 |
|
| 96 |
|
| 97 |
double |
| 98 |
funvalue( /* return a function value to the user */ |
| 99 |
char *fname, |
| 100 |
int n, |
| 101 |
double *a |
| 102 |
) |
| 103 |
{ |
| 104 |
ACTIVATION act; |
| 105 |
VARDEF *vp; |
| 106 |
double rval; |
| 107 |
/* push environment */ |
| 108 |
act.name = fname; |
| 109 |
act.prev = curact; |
| 110 |
act.ap = a; |
| 111 |
if (n < AFLAGSIZ) |
| 112 |
act.an = (1L<<n)-1; |
| 113 |
else { |
| 114 |
act.an = ~0; |
| 115 |
if (n > AFLAGSIZ) |
| 116 |
wputs("Excess arguments in funvalue()\n"); |
| 117 |
} |
| 118 |
act.fun = NULL; |
| 119 |
curact = &act; |
| 120 |
|
| 121 |
if ((vp = varlookup(fname)) == NULL || vp->def == NULL |
| 122 |
|| vp->def->v.kid->type != FUNC) |
| 123 |
rval = libfunc(fname, vp); |
| 124 |
else |
| 125 |
rval = evalue(vp->def->v.kid->sibling); |
| 126 |
|
| 127 |
curact = act.prev; /* pop environment */ |
| 128 |
return(rval); |
| 129 |
} |
| 130 |
|
| 131 |
|
| 132 |
void |
| 133 |
funset( /* set a library function */ |
| 134 |
char *fname, |
| 135 |
int nargs, |
| 136 |
int assign, |
| 137 |
double (*fptr)(char *) |
| 138 |
) |
| 139 |
{ |
| 140 |
int oldlibsize = libsize; |
| 141 |
char *cp; |
| 142 |
LIBR *lp; |
| 143 |
/* check for context */ |
| 144 |
for (cp = fname; *cp; cp++) |
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; |
| 146 |
if (cp == fname) |
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return; |
| 148 |
while (cp[-1] == CNTXMARK) { |
| 149 |
*--cp = '\0'; |
| 150 |
if (cp == fname) return; |
| 151 |
} |
| 152 |
if ((lp = liblookup(fname)) == NULL) { /* insert */ |
| 153 |
if (fptr == NULL) |
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return; /* nothing! */ |
| 155 |
if (libsize >= MAXLIB) { |
| 156 |
eputs("Too many library functons!\n"); |
| 157 |
quit(1); |
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} |
| 159 |
for (lp = &library[libsize]; lp > library; lp--) |
| 160 |
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; |
| 164 |
libsize++; |
| 165 |
} |
| 166 |
if (fptr == NULL) { /* delete */ |
| 167 |
while (lp < &library[libsize-1]) { |
| 168 |
lp[0] = lp[1]; |
| 169 |
lp++; |
| 170 |
} |
| 171 |
libsize--; |
| 172 |
} else { /* or assign */ |
| 173 |
lp[0].fname = fname; /* string must be static! */ |
| 174 |
lp[0].nargs = nargs; |
| 175 |
lp[0].atyp = assign; |
| 176 |
lp[0].f = fptr; |
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} |
| 178 |
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 */ |
| 185 |
{ |
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int n; |
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|
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if (curact == NULL) |
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return(0); |
| 190 |
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); |
| 194 |
} |
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return(nekids(curact->fun) - 1); |
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} |
| 197 |
|
| 198 |
|
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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; |
| 205 |
|
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if (!n) /* asking for # arguments? */ |
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return((double)nargum()); |
| 208 |
|
| 209 |
if (!actp | (--n < 0)) { |
| 210 |
eputs("Bad call to argument!\n"); |
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quit(1); |
| 212 |
} |
| 213 |
if ((n < AFLAGSIZ) & actp->an >> n) /* already computed? */ |
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return(actp->ap[n]); |
| 215 |
|
| 216 |
if (!actp->fun || !(ep = ekid(actp->fun, n+1))) { |
| 217 |
eputs(actp->name); |
| 218 |
eputs(": too few arguments\n"); |
| 219 |
quit(1); |
| 220 |
} |
| 221 |
curact = actp->prev; /* previous context */ |
| 222 |
aval = evalue(ep); /* compute argument */ |
| 223 |
curact = actp; /* put back calling context */ |
| 224 |
if (n < ALISTSIZ) { /* save value if room */ |
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actp->ap[n] = aval; |
| 226 |
actp->an |= 1L<<n; |
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} |
| 228 |
return(aval); |
| 229 |
} |
| 230 |
|
| 231 |
|
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VARDEF * |
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argf(int n) /* return function def for nth argument */ |
| 234 |
{ |
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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) { |
| 239 |
|
| 240 |
if (n <= 0) |
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break; |
| 242 |
|
| 243 |
if (actp->fun == NULL) |
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goto badarg; |
| 245 |
|
| 246 |
if ((ep = ekid(actp->fun, n)) == NULL) { |
| 247 |
eputs(actp->name); |
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eputs(": too few arguments\n"); |
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quit(1); |
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} |
| 251 |
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; |
| 256 |
|
| 257 |
n = ep->v.chan; /* try previous context */ |
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} |
| 259 |
eputs("Bad call to argf!\n"); |
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quit(1); |
| 261 |
|
| 262 |
badarg: |
| 263 |
eputs(actp->name); |
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eputs(": argument not a function\n"); |
| 265 |
quit(1); |
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return NULL; /* pro forma return */ |
| 267 |
} |
| 268 |
|
| 269 |
|
| 270 |
char * |
| 271 |
argfun(int n) /* return function name for nth argument */ |
| 272 |
{ |
| 273 |
return(argf(n)->name); |
| 274 |
} |
| 275 |
|
| 276 |
|
| 277 |
double |
| 278 |
efunc(EPNODE *ep) /* evaluate a function */ |
| 279 |
{ |
| 280 |
ACTIVATION act; |
| 281 |
double alist[ALISTSIZ]; |
| 282 |
double rval; |
| 283 |
VARDEF *dp; |
| 284 |
/* push environment */ |
| 285 |
dp = resolve(ep->v.kid); |
| 286 |
act.name = dp->name; |
| 287 |
act.prev = curact; |
| 288 |
act.ap = alist; |
| 289 |
act.an = 0; |
| 290 |
act.fun = ep; |
| 291 |
curact = &act; |
| 292 |
|
| 293 |
if (dp->def == NULL || dp->def->v.kid->type != FUNC) |
| 294 |
rval = libfunc(act.name, dp); |
| 295 |
else |
| 296 |
rval = evalue(dp->def->v.kid->sibling); |
| 297 |
|
| 298 |
curact = act.prev; /* pop environment */ |
| 299 |
return(rval); |
| 300 |
} |
| 301 |
|
| 302 |
|
| 303 |
LIBR * |
| 304 |
liblookup(char *fname) /* look up a library function */ |
| 305 |
{ |
| 306 |
int upper, lower; |
| 307 |
int cm, i; |
| 308 |
|
| 309 |
lower = 0; |
| 310 |
upper = cm = libsize; |
| 311 |
|
| 312 |
while ((i = (lower + upper) >> 1) != cm) { |
| 313 |
cm = strcmp(fname, library[i].fname); |
| 314 |
if (cm > 0) |
| 315 |
lower = i; |
| 316 |
else if (cm < 0) |
| 317 |
upper = i; |
| 318 |
else |
| 319 |
return(&library[i]); |
| 320 |
cm = i; |
| 321 |
} |
| 322 |
return(NULL); |
| 323 |
} |
| 324 |
|
| 325 |
|
| 326 |
/* |
| 327 |
* The following routines are for internal use: |
| 328 |
*/ |
| 329 |
|
| 330 |
|
| 331 |
static double |
| 332 |
libfunc( /* execute library function */ |
| 333 |
char *fname, |
| 334 |
VARDEF *vp |
| 335 |
) |
| 336 |
{ |
| 337 |
LIBR *lp; |
| 338 |
double d; |
| 339 |
int lasterrno; |
| 340 |
|
| 341 |
if (vp != NULL) |
| 342 |
lp = vp->lib; |
| 343 |
else |
| 344 |
lp = liblookup(fname); |
| 345 |
if (lp == NULL) { |
| 346 |
eputs(fname); |
| 347 |
eputs(": undefined function\n"); |
| 348 |
quit(1); |
| 349 |
} |
| 350 |
lasterrno = errno; |
| 351 |
errno = 0; |
| 352 |
d = (*lp->f)(lp->fname); |
| 353 |
#ifdef isnan |
| 354 |
if (errno == 0) { |
| 355 |
if (isnan(d)) |
| 356 |
errno = EDOM; |
| 357 |
else if (isinf(d)) |
| 358 |
errno = ERANGE; |
| 359 |
} |
| 360 |
#endif |
| 361 |
if ((errno == EDOM) | (errno == ERANGE)) { |
| 362 |
wputs(fname); |
| 363 |
if (errno == EDOM) |
| 364 |
wputs(": domain error\n"); |
| 365 |
else if (errno == ERANGE) |
| 366 |
wputs(": range error\n"); |
| 367 |
else |
| 368 |
wputs(": error in call\n"); |
| 369 |
return(0.0); |
| 370 |
} |
| 371 |
errno = lasterrno; |
| 372 |
return(d); |
| 373 |
} |
| 374 |
|
| 375 |
|
| 376 |
/* |
| 377 |
* Library functions: |
| 378 |
*/ |
| 379 |
|
| 380 |
|
| 381 |
static double |
| 382 |
l_if(char *nm) /* if(cond, then, else) conditional expression */ |
| 383 |
/* cond evaluates true if greater than zero */ |
| 384 |
{ |
| 385 |
if (argument(1) > 0.0) |
| 386 |
return(argument(2)); |
| 387 |
else |
| 388 |
return(argument(3)); |
| 389 |
} |
| 390 |
|
| 391 |
|
| 392 |
static double |
| 393 |
l_select(char *nm) /* return argument #(A1+1) */ |
| 394 |
{ |
| 395 |
int narg = nargum(); |
| 396 |
double a1 = argument(1); |
| 397 |
int n = (int)(a1 + .5); |
| 398 |
|
| 399 |
if ((a1 < -.5) | (n >= narg)) { |
| 400 |
errno = EDOM; |
| 401 |
return(0.0); |
| 402 |
} |
| 403 |
if (!n) /* asking max index? */ |
| 404 |
return(narg-1); |
| 405 |
return(argument(n+1)); |
| 406 |
} |
| 407 |
|
| 408 |
|
| 409 |
static double |
| 410 |
l_max(char *nm) /* general maximum function */ |
| 411 |
{ |
| 412 |
int n = nargum(); |
| 413 |
double vmax = argument(1); |
| 414 |
|
| 415 |
while (n > 1) { |
| 416 |
double v = argument(n--); |
| 417 |
if (vmax < v) |
| 418 |
vmax = v; |
| 419 |
} |
| 420 |
return(vmax); |
| 421 |
} |
| 422 |
|
| 423 |
|
| 424 |
static double |
| 425 |
l_min(char *nm) /* general minimum function */ |
| 426 |
{ |
| 427 |
int n = nargum(); |
| 428 |
double vmin = argument(1); |
| 429 |
|
| 430 |
while (n > 1) { |
| 431 |
double v = argument(n--); |
| 432 |
if (vmin > v) |
| 433 |
vmin = v; |
| 434 |
} |
| 435 |
return(vmin); |
| 436 |
} |
| 437 |
|
| 438 |
|
| 439 |
static double |
| 440 |
l_rand(char *nm) /* random function between 0 and 1 */ |
| 441 |
{ |
| 442 |
double x; |
| 443 |
|
| 444 |
x = argument(1); |
| 445 |
x *= 1.0/(1.0 + x*x) + 2.71828182845904; |
| 446 |
x += .785398163397447 - floor(x); |
| 447 |
x = 1e5 / x; |
| 448 |
return(x - floor(x)); |
| 449 |
} |
| 450 |
|
| 451 |
|
| 452 |
static double |
| 453 |
l_floor(char *nm) /* return largest integer not greater than arg1 */ |
| 454 |
{ |
| 455 |
return(floor(argument(1))); |
| 456 |
} |
| 457 |
|
| 458 |
|
| 459 |
static double |
| 460 |
l_ceil(char *nm) /* return smallest integer not less than arg1 */ |
| 461 |
{ |
| 462 |
return(ceil(argument(1))); |
| 463 |
} |
| 464 |
|
| 465 |
|
| 466 |
static double |
| 467 |
l_sqrt(char *nm) |
| 468 |
{ |
| 469 |
return(sqrt(argument(1))); |
| 470 |
} |
| 471 |
|
| 472 |
|
| 473 |
static double |
| 474 |
l_sin(char *nm) |
| 475 |
{ |
| 476 |
return(sin(argument(1))); |
| 477 |
} |
| 478 |
|
| 479 |
|
| 480 |
static double |
| 481 |
l_cos(char *nm) |
| 482 |
{ |
| 483 |
return(cos(argument(1))); |
| 484 |
} |
| 485 |
|
| 486 |
|
| 487 |
static double |
| 488 |
l_tan(char *nm) |
| 489 |
{ |
| 490 |
return(tan(argument(1))); |
| 491 |
} |
| 492 |
|
| 493 |
|
| 494 |
static double |
| 495 |
l_asin(char *nm) |
| 496 |
{ |
| 497 |
return(asin(argument(1))); |
| 498 |
} |
| 499 |
|
| 500 |
|
| 501 |
static double |
| 502 |
l_acos(char *nm) |
| 503 |
{ |
| 504 |
return(acos(argument(1))); |
| 505 |
} |
| 506 |
|
| 507 |
|
| 508 |
static double |
| 509 |
l_atan(char *nm) |
| 510 |
{ |
| 511 |
return(atan(argument(1))); |
| 512 |
} |
| 513 |
|
| 514 |
|
| 515 |
static double |
| 516 |
l_atan2(char *nm) |
| 517 |
{ |
| 518 |
return(atan2(argument(1), argument(2))); |
| 519 |
} |
| 520 |
|
| 521 |
|
| 522 |
static double |
| 523 |
l_exp(char *nm) |
| 524 |
{ |
| 525 |
return(exp(argument(1))); |
| 526 |
} |
| 527 |
|
| 528 |
|
| 529 |
static double |
| 530 |
l_log(char *nm) |
| 531 |
{ |
| 532 |
return(log(argument(1))); |
| 533 |
} |
| 534 |
|
| 535 |
|
| 536 |
static double |
| 537 |
l_log10(char *nm) |
| 538 |
{ |
| 539 |
return(log10(argument(1))); |
| 540 |
} |
