| 1 |
/* numeric.c |
| 2 |
* |
| 3 |
* Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 1999, |
| 4 |
* 2000, 2001, 2002, 2003, 2005 by Larry Wall and others |
| 5 |
* |
| 6 |
* You may distribute under the terms of either the GNU General Public |
| 7 |
* License or the Artistic License, as specified in the README file. |
| 8 |
* |
| 9 |
*/ |
| 10 |
|
| 11 |
/* |
| 12 |
* "That only makes eleven (plus one mislaid) and not fourteen, unless |
| 13 |
* wizards count differently to other people." |
| 14 |
*/ |
| 15 |
|
| 16 |
/* |
| 17 |
=head1 Numeric functions |
| 18 |
|
| 19 |
This file contains all the stuff needed by perl for manipulating numeric |
| 20 |
values, including such things as replacements for the OS's atof() function |
| 21 |
|
| 22 |
=cut |
| 23 |
|
| 24 |
*/ |
| 25 |
|
| 26 |
#include "EXTERN.h" |
| 27 |
#define PERL_IN_NUMERIC_C |
| 28 |
#include "perl.h" |
| 29 |
|
| 30 |
U32 |
| 31 |
Perl_cast_ulong(pTHX_ NV f) |
| 32 |
{ |
| 33 |
if (f < 0.0) |
| 34 |
return f < I32_MIN ? (U32) I32_MIN : (U32)(I32) f; |
| 35 |
if (f < U32_MAX_P1) { |
| 36 |
#if CASTFLAGS & 2 |
| 37 |
if (f < U32_MAX_P1_HALF) |
| 38 |
return (U32) f; |
| 39 |
f -= U32_MAX_P1_HALF; |
| 40 |
return ((U32) f) | (1 + U32_MAX >> 1); |
| 41 |
#else |
| 42 |
return (U32) f; |
| 43 |
#endif |
| 44 |
} |
| 45 |
return f > 0 ? U32_MAX : 0 /* NaN */; |
| 46 |
} |
| 47 |
|
| 48 |
I32 |
| 49 |
Perl_cast_i32(pTHX_ NV f) |
| 50 |
{ |
| 51 |
if (f < I32_MAX_P1) |
| 52 |
return f < I32_MIN ? I32_MIN : (I32) f; |
| 53 |
if (f < U32_MAX_P1) { |
| 54 |
#if CASTFLAGS & 2 |
| 55 |
if (f < U32_MAX_P1_HALF) |
| 56 |
return (I32)(U32) f; |
| 57 |
f -= U32_MAX_P1_HALF; |
| 58 |
return (I32)(((U32) f) | (1 + U32_MAX >> 1)); |
| 59 |
#else |
| 60 |
return (I32)(U32) f; |
| 61 |
#endif |
| 62 |
} |
| 63 |
return f > 0 ? (I32)U32_MAX : 0 /* NaN */; |
| 64 |
} |
| 65 |
|
| 66 |
IV |
| 67 |
Perl_cast_iv(pTHX_ NV f) |
| 68 |
{ |
| 69 |
if (f < IV_MAX_P1) |
| 70 |
return f < IV_MIN ? IV_MIN : (IV) f; |
| 71 |
if (f < UV_MAX_P1) { |
| 72 |
#if CASTFLAGS & 2 |
| 73 |
/* For future flexibility allowing for sizeof(UV) >= sizeof(IV) */ |
| 74 |
if (f < UV_MAX_P1_HALF) |
| 75 |
return (IV)(UV) f; |
| 76 |
f -= UV_MAX_P1_HALF; |
| 77 |
return (IV)(((UV) f) | (1 + UV_MAX >> 1)); |
| 78 |
#else |
| 79 |
return (IV)(UV) f; |
| 80 |
#endif |
| 81 |
} |
| 82 |
return f > 0 ? (IV)UV_MAX : 0 /* NaN */; |
| 83 |
} |
| 84 |
|
| 85 |
UV |
| 86 |
Perl_cast_uv(pTHX_ NV f) |
| 87 |
{ |
| 88 |
if (f < 0.0) |
| 89 |
return f < IV_MIN ? (UV) IV_MIN : (UV)(IV) f; |
| 90 |
if (f < UV_MAX_P1) { |
| 91 |
#if CASTFLAGS & 2 |
| 92 |
if (f < UV_MAX_P1_HALF) |
| 93 |
return (UV) f; |
| 94 |
f -= UV_MAX_P1_HALF; |
| 95 |
return ((UV) f) | (1 + UV_MAX >> 1); |
| 96 |
#else |
| 97 |
return (UV) f; |
| 98 |
#endif |
| 99 |
} |
| 100 |
return f > 0 ? UV_MAX : 0 /* NaN */; |
| 101 |
} |
| 102 |
|
| 103 |
#if defined(HUGE_VAL) || (defined(USE_LONG_DOUBLE) && defined(HUGE_VALL)) |
| 104 |
/* |
| 105 |
* This hack is to force load of "huge" support from libm.a |
| 106 |
* So it is in perl for (say) POSIX to use. |
| 107 |
* Needed for SunOS with Sun's 'acc' for example. |
| 108 |
*/ |
| 109 |
NV |
| 110 |
Perl_huge(void) |
| 111 |
{ |
| 112 |
# if defined(USE_LONG_DOUBLE) && defined(HUGE_VALL) |
| 113 |
return HUGE_VALL; |
| 114 |
# endif |
| 115 |
return HUGE_VAL; |
| 116 |
} |
| 117 |
#endif |
| 118 |
|
| 119 |
/* |
| 120 |
=for apidoc grok_bin |
| 121 |
|
| 122 |
converts a string representing a binary number to numeric form. |
| 123 |
|
| 124 |
On entry I<start> and I<*len> give the string to scan, I<*flags> gives |
| 125 |
conversion flags, and I<result> should be NULL or a pointer to an NV. |
| 126 |
The scan stops at the end of the string, or the first invalid character. |
| 127 |
Unless C<PERL_SCAN_SILENT_ILLDIGIT> is set in I<*flags>, encountering an |
| 128 |
invalid character will also trigger a warning. |
| 129 |
On return I<*len> is set to the length of the scanned string, |
| 130 |
and I<*flags> gives output flags. |
| 131 |
|
| 132 |
If the value is <= UV_MAX it is returned as a UV, the output flags are clear, |
| 133 |
and nothing is written to I<*result>. If the value is > UV_MAX C<grok_bin> |
| 134 |
returns UV_MAX, sets C<PERL_SCAN_GREATER_THAN_UV_MAX> in the output flags, |
| 135 |
and writes the value to I<*result> (or the value is discarded if I<result> |
| 136 |
is NULL). |
| 137 |
|
| 138 |
The binary number may optionally be prefixed with "0b" or "b" unless |
| 139 |
C<PERL_SCAN_DISALLOW_PREFIX> is set in I<*flags> on entry. If |
| 140 |
C<PERL_SCAN_ALLOW_UNDERSCORES> is set in I<*flags> then the binary |
| 141 |
number may use '_' characters to separate digits. |
| 142 |
|
| 143 |
=cut |
| 144 |
*/ |
| 145 |
|
| 146 |
UV |
| 147 |
Perl_grok_bin(pTHX_ char *start, STRLEN *len_p, I32 *flags, NV *result) { |
| 148 |
const char *s = start; |
| 149 |
STRLEN len = *len_p; |
| 150 |
UV value = 0; |
| 151 |
NV value_nv = 0; |
| 152 |
|
| 153 |
const UV max_div_2 = UV_MAX / 2; |
| 154 |
bool allow_underscores = *flags & PERL_SCAN_ALLOW_UNDERSCORES; |
| 155 |
bool overflowed = FALSE; |
| 156 |
|
| 157 |
if (!(*flags & PERL_SCAN_DISALLOW_PREFIX)) { |
| 158 |
/* strip off leading b or 0b. |
| 159 |
for compatibility silently suffer "b" and "0b" as valid binary |
| 160 |
numbers. */ |
| 161 |
if (len >= 1) { |
| 162 |
if (s[0] == 'b') { |
| 163 |
s++; |
| 164 |
len--; |
| 165 |
} |
| 166 |
else if (len >= 2 && s[0] == '0' && s[1] == 'b') { |
| 167 |
s+=2; |
| 168 |
len-=2; |
| 169 |
} |
| 170 |
} |
| 171 |
} |
| 172 |
|
| 173 |
for (; len-- && *s; s++) { |
| 174 |
char bit = *s; |
| 175 |
if (bit == '0' || bit == '1') { |
| 176 |
/* Write it in this wonky order with a goto to attempt to get the |
| 177 |
compiler to make the common case integer-only loop pretty tight. |
| 178 |
With gcc seems to be much straighter code than old scan_bin. */ |
| 179 |
redo: |
| 180 |
if (!overflowed) { |
| 181 |
if (value <= max_div_2) { |
| 182 |
value = (value << 1) | (bit - '0'); |
| 183 |
continue; |
| 184 |
} |
| 185 |
/* Bah. We're just overflowed. */ |
| 186 |
if (ckWARN_d(WARN_OVERFLOW)) |
| 187 |
Perl_warner(aTHX_ packWARN(WARN_OVERFLOW), |
| 188 |
"Integer overflow in binary number"); |
| 189 |
overflowed = TRUE; |
| 190 |
value_nv = (NV) value; |
| 191 |
} |
| 192 |
value_nv *= 2.0; |
| 193 |
/* If an NV has not enough bits in its mantissa to |
| 194 |
* represent a UV this summing of small low-order numbers |
| 195 |
* is a waste of time (because the NV cannot preserve |
| 196 |
* the low-order bits anyway): we could just remember when |
| 197 |
* did we overflow and in the end just multiply value_nv by the |
| 198 |
* right amount. */ |
| 199 |
value_nv += (NV)(bit - '0'); |
| 200 |
continue; |
| 201 |
} |
| 202 |
if (bit == '_' && len && allow_underscores && (bit = s[1]) |
| 203 |
&& (bit == '0' || bit == '1')) |
| 204 |
{ |
| 205 |
--len; |
| 206 |
++s; |
| 207 |
goto redo; |
| 208 |
} |
| 209 |
if (!(*flags & PERL_SCAN_SILENT_ILLDIGIT) && ckWARN(WARN_DIGIT)) |
| 210 |
Perl_warner(aTHX_ packWARN(WARN_DIGIT), |
| 211 |
"Illegal binary digit '%c' ignored", *s); |
| 212 |
break; |
| 213 |
} |
| 214 |
|
| 215 |
if ( ( overflowed && value_nv > 4294967295.0) |
| 216 |
#if UVSIZE > 4 |
| 217 |
|| (!overflowed && value > 0xffffffff ) |
| 218 |
#endif |
| 219 |
) { |
| 220 |
if (ckWARN(WARN_PORTABLE)) |
| 221 |
Perl_warner(aTHX_ packWARN(WARN_PORTABLE), |
| 222 |
"Binary number > 0b11111111111111111111111111111111 non-portable"); |
| 223 |
} |
| 224 |
*len_p = s - start; |
| 225 |
if (!overflowed) { |
| 226 |
*flags = 0; |
| 227 |
return value; |
| 228 |
} |
| 229 |
*flags = PERL_SCAN_GREATER_THAN_UV_MAX; |
| 230 |
if (result) |
| 231 |
*result = value_nv; |
| 232 |
return UV_MAX; |
| 233 |
} |
| 234 |
|
| 235 |
/* |
| 236 |
=for apidoc grok_hex |
| 237 |
|
| 238 |
converts a string representing a hex number to numeric form. |
| 239 |
|
| 240 |
On entry I<start> and I<*len> give the string to scan, I<*flags> gives |
| 241 |
conversion flags, and I<result> should be NULL or a pointer to an NV. |
| 242 |
The scan stops at the end of the string, or the first invalid character. |
| 243 |
Unless C<PERL_SCAN_SILENT_ILLDIGIT> is set in I<*flags>, encountering an |
| 244 |
invalid character will also trigger a warning. |
| 245 |
On return I<*len> is set to the length of the scanned string, |
| 246 |
and I<*flags> gives output flags. |
| 247 |
|
| 248 |
If the value is <= UV_MAX it is returned as a UV, the output flags are clear, |
| 249 |
and nothing is written to I<*result>. If the value is > UV_MAX C<grok_hex> |
| 250 |
returns UV_MAX, sets C<PERL_SCAN_GREATER_THAN_UV_MAX> in the output flags, |
| 251 |
and writes the value to I<*result> (or the value is discarded if I<result> |
| 252 |
is NULL). |
| 253 |
|
| 254 |
The hex number may optionally be prefixed with "0x" or "x" unless |
| 255 |
C<PERL_SCAN_DISALLOW_PREFIX> is set in I<*flags> on entry. If |
| 256 |
C<PERL_SCAN_ALLOW_UNDERSCORES> is set in I<*flags> then the hex |
| 257 |
number may use '_' characters to separate digits. |
| 258 |
|
| 259 |
=cut |
| 260 |
*/ |
| 261 |
|
| 262 |
UV |
| 263 |
Perl_grok_hex(pTHX_ char *start, STRLEN *len_p, I32 *flags, NV *result) { |
| 264 |
const char *s = start; |
| 265 |
STRLEN len = *len_p; |
| 266 |
UV value = 0; |
| 267 |
NV value_nv = 0; |
| 268 |
|
| 269 |
const UV max_div_16 = UV_MAX / 16; |
| 270 |
bool allow_underscores = *flags & PERL_SCAN_ALLOW_UNDERSCORES; |
| 271 |
bool overflowed = FALSE; |
| 272 |
const char *hexdigit; |
| 273 |
|
| 274 |
if (!(*flags & PERL_SCAN_DISALLOW_PREFIX)) { |
| 275 |
/* strip off leading x or 0x. |
| 276 |
for compatibility silently suffer "x" and "0x" as valid hex numbers. |
| 277 |
*/ |
| 278 |
if (len >= 1) { |
| 279 |
if (s[0] == 'x') { |
| 280 |
s++; |
| 281 |
len--; |
| 282 |
} |
| 283 |
else if (len >= 2 && s[0] == '0' && s[1] == 'x') { |
| 284 |
s+=2; |
| 285 |
len-=2; |
| 286 |
} |
| 287 |
} |
| 288 |
} |
| 289 |
|
| 290 |
for (; len-- && *s; s++) { |
| 291 |
hexdigit = strchr((char *) PL_hexdigit, *s); |
| 292 |
if (hexdigit) { |
| 293 |
/* Write it in this wonky order with a goto to attempt to get the |
| 294 |
compiler to make the common case integer-only loop pretty tight. |
| 295 |
With gcc seems to be much straighter code than old scan_hex. */ |
| 296 |
redo: |
| 297 |
if (!overflowed) { |
| 298 |
if (value <= max_div_16) { |
| 299 |
value = (value << 4) | ((hexdigit - PL_hexdigit) & 15); |
| 300 |
continue; |
| 301 |
} |
| 302 |
/* Bah. We're just overflowed. */ |
| 303 |
if (ckWARN_d(WARN_OVERFLOW)) |
| 304 |
Perl_warner(aTHX_ packWARN(WARN_OVERFLOW), |
| 305 |
"Integer overflow in hexadecimal number"); |
| 306 |
overflowed = TRUE; |
| 307 |
value_nv = (NV) value; |
| 308 |
} |
| 309 |
value_nv *= 16.0; |
| 310 |
/* If an NV has not enough bits in its mantissa to |
| 311 |
* represent a UV this summing of small low-order numbers |
| 312 |
* is a waste of time (because the NV cannot preserve |
| 313 |
* the low-order bits anyway): we could just remember when |
| 314 |
* did we overflow and in the end just multiply value_nv by the |
| 315 |
* right amount of 16-tuples. */ |
| 316 |
value_nv += (NV)((hexdigit - PL_hexdigit) & 15); |
| 317 |
continue; |
| 318 |
} |
| 319 |
if (*s == '_' && len && allow_underscores && s[1] |
| 320 |
&& (hexdigit = strchr((char *) PL_hexdigit, s[1]))) |
| 321 |
{ |
| 322 |
--len; |
| 323 |
++s; |
| 324 |
goto redo; |
| 325 |
} |
| 326 |
if (!(*flags & PERL_SCAN_SILENT_ILLDIGIT) && ckWARN(WARN_DIGIT)) |
| 327 |
Perl_warner(aTHX_ packWARN(WARN_DIGIT), |
| 328 |
"Illegal hexadecimal digit '%c' ignored", *s); |
| 329 |
break; |
| 330 |
} |
| 331 |
|
| 332 |
if ( ( overflowed && value_nv > 4294967295.0) |
| 333 |
#if UVSIZE > 4 |
| 334 |
|| (!overflowed && value > 0xffffffff ) |
| 335 |
#endif |
| 336 |
) { |
| 337 |
if (ckWARN(WARN_PORTABLE)) |
| 338 |
Perl_warner(aTHX_ packWARN(WARN_PORTABLE), |
| 339 |
"Hexadecimal number > 0xffffffff non-portable"); |
| 340 |
} |
| 341 |
*len_p = s - start; |
| 342 |
if (!overflowed) { |
| 343 |
*flags = 0; |
| 344 |
return value; |
| 345 |
} |
| 346 |
*flags = PERL_SCAN_GREATER_THAN_UV_MAX; |
| 347 |
if (result) |
| 348 |
*result = value_nv; |
| 349 |
return UV_MAX; |
| 350 |
} |
| 351 |
|
| 352 |
/* |
| 353 |
=for apidoc grok_oct |
| 354 |
|
| 355 |
converts a string representing an octal number to numeric form. |
| 356 |
|
| 357 |
On entry I<start> and I<*len> give the string to scan, I<*flags> gives |
| 358 |
conversion flags, and I<result> should be NULL or a pointer to an NV. |
| 359 |
The scan stops at the end of the string, or the first invalid character. |
| 360 |
Unless C<PERL_SCAN_SILENT_ILLDIGIT> is set in I<*flags>, encountering an |
| 361 |
invalid character will also trigger a warning. |
| 362 |
On return I<*len> is set to the length of the scanned string, |
| 363 |
and I<*flags> gives output flags. |
| 364 |
|
| 365 |
If the value is <= UV_MAX it is returned as a UV, the output flags are clear, |
| 366 |
and nothing is written to I<*result>. If the value is > UV_MAX C<grok_oct> |
| 367 |
returns UV_MAX, sets C<PERL_SCAN_GREATER_THAN_UV_MAX> in the output flags, |
| 368 |
and writes the value to I<*result> (or the value is discarded if I<result> |
| 369 |
is NULL). |
| 370 |
|
| 371 |
If C<PERL_SCAN_ALLOW_UNDERSCORES> is set in I<*flags> then the octal |
| 372 |
number may use '_' characters to separate digits. |
| 373 |
|
| 374 |
=cut |
| 375 |
*/ |
| 376 |
|
| 377 |
UV |
| 378 |
Perl_grok_oct(pTHX_ char *start, STRLEN *len_p, I32 *flags, NV *result) { |
| 379 |
const char *s = start; |
| 380 |
STRLEN len = *len_p; |
| 381 |
UV value = 0; |
| 382 |
NV value_nv = 0; |
| 383 |
|
| 384 |
const UV max_div_8 = UV_MAX / 8; |
| 385 |
bool allow_underscores = *flags & PERL_SCAN_ALLOW_UNDERSCORES; |
| 386 |
bool overflowed = FALSE; |
| 387 |
|
| 388 |
for (; len-- && *s; s++) { |
| 389 |
/* gcc 2.95 optimiser not smart enough to figure that this subtraction |
| 390 |
out front allows slicker code. */ |
| 391 |
int digit = *s - '0'; |
| 392 |
if (digit >= 0 && digit <= 7) { |
| 393 |
/* Write it in this wonky order with a goto to attempt to get the |
| 394 |
compiler to make the common case integer-only loop pretty tight. |
| 395 |
*/ |
| 396 |
redo: |
| 397 |
if (!overflowed) { |
| 398 |
if (value <= max_div_8) { |
| 399 |
value = (value << 3) | digit; |
| 400 |
continue; |
| 401 |
} |
| 402 |
/* Bah. We're just overflowed. */ |
| 403 |
if (ckWARN_d(WARN_OVERFLOW)) |
| 404 |
Perl_warner(aTHX_ packWARN(WARN_OVERFLOW), |
| 405 |
"Integer overflow in octal number"); |
| 406 |
overflowed = TRUE; |
| 407 |
value_nv = (NV) value; |
| 408 |
} |
| 409 |
value_nv *= 8.0; |
| 410 |
/* If an NV has not enough bits in its mantissa to |
| 411 |
* represent a UV this summing of small low-order numbers |
| 412 |
* is a waste of time (because the NV cannot preserve |
| 413 |
* the low-order bits anyway): we could just remember when |
| 414 |
* did we overflow and in the end just multiply value_nv by the |
| 415 |
* right amount of 8-tuples. */ |
| 416 |
value_nv += (NV)digit; |
| 417 |
continue; |
| 418 |
} |
| 419 |
if (digit == ('_' - '0') && len && allow_underscores |
| 420 |
&& (digit = s[1] - '0') && (digit >= 0 && digit <= 7)) |
| 421 |
{ |
| 422 |
--len; |
| 423 |
++s; |
| 424 |
goto redo; |
| 425 |
} |
| 426 |
/* Allow \octal to work the DWIM way (that is, stop scanning |
| 427 |
* as soon as non-octal characters are seen, complain only if |
| 428 |
* someone seems to want to use the digits eight and nine). */ |
| 429 |
if (digit == 8 || digit == 9) { |
| 430 |
if (!(*flags & PERL_SCAN_SILENT_ILLDIGIT) && ckWARN(WARN_DIGIT)) |
| 431 |
Perl_warner(aTHX_ packWARN(WARN_DIGIT), |
| 432 |
"Illegal octal digit '%c' ignored", *s); |
| 433 |
} |
| 434 |
break; |
| 435 |
} |
| 436 |
|
| 437 |
if ( ( overflowed && value_nv > 4294967295.0) |
| 438 |
#if UVSIZE > 4 |
| 439 |
|| (!overflowed && value > 0xffffffff ) |
| 440 |
#endif |
| 441 |
) { |
| 442 |
if (ckWARN(WARN_PORTABLE)) |
| 443 |
Perl_warner(aTHX_ packWARN(WARN_PORTABLE), |
| 444 |
"Octal number > 037777777777 non-portable"); |
| 445 |
} |
| 446 |
*len_p = s - start; |
| 447 |
if (!overflowed) { |
| 448 |
*flags = 0; |
| 449 |
return value; |
| 450 |
} |
| 451 |
*flags = PERL_SCAN_GREATER_THAN_UV_MAX; |
| 452 |
if (result) |
| 453 |
*result = value_nv; |
| 454 |
return UV_MAX; |
| 455 |
} |
| 456 |
|
| 457 |
/* |
| 458 |
=for apidoc scan_bin |
| 459 |
|
| 460 |
For backwards compatibility. Use C<grok_bin> instead. |
| 461 |
|
| 462 |
=for apidoc scan_hex |
| 463 |
|
| 464 |
For backwards compatibility. Use C<grok_hex> instead. |
| 465 |
|
| 466 |
=for apidoc scan_oct |
| 467 |
|
| 468 |
For backwards compatibility. Use C<grok_oct> instead. |
| 469 |
|
| 470 |
=cut |
| 471 |
*/ |
| 472 |
|
| 473 |
NV |
| 474 |
Perl_scan_bin(pTHX_ char *start, STRLEN len, STRLEN *retlen) |
| 475 |
{ |
| 476 |
NV rnv; |
| 477 |
I32 flags = *retlen ? PERL_SCAN_ALLOW_UNDERSCORES : 0; |
| 478 |
UV ruv = grok_bin (start, &len, &flags, &rnv); |
| 479 |
|
| 480 |
*retlen = len; |
| 481 |
return (flags & PERL_SCAN_GREATER_THAN_UV_MAX) ? rnv : (NV)ruv; |
| 482 |
} |
| 483 |
|
| 484 |
NV |
| 485 |
Perl_scan_oct(pTHX_ char *start, STRLEN len, STRLEN *retlen) |
| 486 |
{ |
| 487 |
NV rnv; |
| 488 |
I32 flags = *retlen ? PERL_SCAN_ALLOW_UNDERSCORES : 0; |
| 489 |
UV ruv = grok_oct (start, &len, &flags, &rnv); |
| 490 |
|
| 491 |
*retlen = len; |
| 492 |
return (flags & PERL_SCAN_GREATER_THAN_UV_MAX) ? rnv : (NV)ruv; |
| 493 |
} |
| 494 |
|
| 495 |
NV |
| 496 |
Perl_scan_hex(pTHX_ char *start, STRLEN len, STRLEN *retlen) |
| 497 |
{ |
| 498 |
NV rnv; |
| 499 |
I32 flags = *retlen ? PERL_SCAN_ALLOW_UNDERSCORES : 0; |
| 500 |
UV ruv = grok_hex (start, &len, &flags, &rnv); |
| 501 |
|
| 502 |
*retlen = len; |
| 503 |
return (flags & PERL_SCAN_GREATER_THAN_UV_MAX) ? rnv : (NV)ruv; |
| 504 |
} |
| 505 |
|
| 506 |
/* |
| 507 |
=for apidoc grok_numeric_radix |
| 508 |
|
| 509 |
Scan and skip for a numeric decimal separator (radix). |
| 510 |
|
| 511 |
=cut |
| 512 |
*/ |
| 513 |
bool |
| 514 |
Perl_grok_numeric_radix(pTHX_ const char **sp, const char *send) |
| 515 |
{ |
| 516 |
#ifdef USE_LOCALE_NUMERIC |
| 517 |
if (PL_numeric_radix_sv && IN_LOCALE) { |
| 518 |
STRLEN len; |
| 519 |
char* radix = SvPV(PL_numeric_radix_sv, len); |
| 520 |
if (*sp + len <= send && memEQ(*sp, radix, len)) { |
| 521 |
*sp += len; |
| 522 |
return TRUE; |
| 523 |
} |
| 524 |
} |
| 525 |
/* always try "." if numeric radix didn't match because |
| 526 |
* we may have data from different locales mixed */ |
| 527 |
#endif |
| 528 |
if (*sp < send && **sp == '.') { |
| 529 |
++*sp; |
| 530 |
return TRUE; |
| 531 |
} |
| 532 |
return FALSE; |
| 533 |
} |
| 534 |
|
| 535 |
/* |
| 536 |
=for apidoc grok_number |
| 537 |
|
| 538 |
Recognise (or not) a number. The type of the number is returned |
| 539 |
(0 if unrecognised), otherwise it is a bit-ORed combination of |
| 540 |
IS_NUMBER_IN_UV, IS_NUMBER_GREATER_THAN_UV_MAX, IS_NUMBER_NOT_INT, |
| 541 |
IS_NUMBER_NEG, IS_NUMBER_INFINITY, IS_NUMBER_NAN (defined in perl.h). |
| 542 |
|
| 543 |
If the value of the number can fit an in UV, it is returned in the *valuep |
| 544 |
IS_NUMBER_IN_UV will be set to indicate that *valuep is valid, IS_NUMBER_IN_UV |
| 545 |
will never be set unless *valuep is valid, but *valuep may have been assigned |
| 546 |
to during processing even though IS_NUMBER_IN_UV is not set on return. |
| 547 |
If valuep is NULL, IS_NUMBER_IN_UV will be set for the same cases as when |
| 548 |
valuep is non-NULL, but no actual assignment (or SEGV) will occur. |
| 549 |
|
| 550 |
IS_NUMBER_NOT_INT will be set with IS_NUMBER_IN_UV if trailing decimals were |
| 551 |
seen (in which case *valuep gives the true value truncated to an integer), and |
| 552 |
IS_NUMBER_NEG if the number is negative (in which case *valuep holds the |
| 553 |
absolute value). IS_NUMBER_IN_UV is not set if e notation was used or the |
| 554 |
number is larger than a UV. |
| 555 |
|
| 556 |
=cut |
| 557 |
*/ |
| 558 |
int |
| 559 |
Perl_grok_number(pTHX_ const char *pv, STRLEN len, UV *valuep) |
| 560 |
{ |
| 561 |
const char *s = pv; |
| 562 |
const char *send = pv + len; |
| 563 |
const UV max_div_10 = UV_MAX / 10; |
| 564 |
const char max_mod_10 = UV_MAX % 10; |
| 565 |
int numtype = 0; |
| 566 |
int sawinf = 0; |
| 567 |
int sawnan = 0; |
| 568 |
|
| 569 |
while (s < send && isSPACE(*s)) |
| 570 |
s++; |
| 571 |
if (s == send) { |
| 572 |
return 0; |
| 573 |
} else if (*s == '-') { |
| 574 |
s++; |
| 575 |
numtype = IS_NUMBER_NEG; |
| 576 |
} |
| 577 |
else if (*s == '+') |
| 578 |
s++; |
| 579 |
|
| 580 |
if (s == send) |
| 581 |
return 0; |
| 582 |
|
| 583 |
/* next must be digit or the radix separator or beginning of infinity */ |
| 584 |
if (isDIGIT(*s)) { |
| 585 |
/* UVs are at least 32 bits, so the first 9 decimal digits cannot |
| 586 |
overflow. */ |
| 587 |
UV value = *s - '0'; |
| 588 |
/* This construction seems to be more optimiser friendly. |
| 589 |
(without it gcc does the isDIGIT test and the *s - '0' separately) |
| 590 |
With it gcc on arm is managing 6 instructions (6 cycles) per digit. |
| 591 |
In theory the optimiser could deduce how far to unroll the loop |
| 592 |
before checking for overflow. */ |
| 593 |
if (++s < send) { |
| 594 |
int digit = *s - '0'; |
| 595 |
if (digit >= 0 && digit <= 9) { |
| 596 |
value = value * 10 + digit; |
| 597 |
if (++s < send) { |
| 598 |
digit = *s - '0'; |
| 599 |
if (digit >= 0 && digit <= 9) { |
| 600 |
value = value * 10 + digit; |
| 601 |
if (++s < send) { |
| 602 |
digit = *s - '0'; |
| 603 |
if (digit >= 0 && digit <= 9) { |
| 604 |
value = value * 10 + digit; |
| 605 |
if (++s < send) { |
| 606 |
digit = *s - '0'; |
| 607 |
if (digit >= 0 && digit <= 9) { |
| 608 |
value = value * 10 + digit; |
| 609 |
if (++s < send) { |
| 610 |
digit = *s - '0'; |
| 611 |
if (digit >= 0 && digit <= 9) { |
| 612 |
value = value * 10 + digit; |
| 613 |
if (++s < send) { |
| 614 |
digit = *s - '0'; |
| 615 |
if (digit >= 0 && digit <= 9) { |
| 616 |
value = value * 10 + digit; |
| 617 |
if (++s < send) { |
| 618 |
digit = *s - '0'; |
| 619 |
if (digit >= 0 && digit <= 9) { |
| 620 |
value = value * 10 + digit; |
| 621 |
if (++s < send) { |
| 622 |
digit = *s - '0'; |
| 623 |
if (digit >= 0 && digit <= 9) { |
| 624 |
value = value * 10 + digit; |
| 625 |
if (++s < send) { |
| 626 |
/* Now got 9 digits, so need to check |
| 627 |
each time for overflow. */ |
| 628 |
digit = *s - '0'; |
| 629 |
while (digit >= 0 && digit <= 9 |
| 630 |
&& (value < max_div_10 |
| 631 |
|| (value == max_div_10 |
| 632 |
&& digit <= max_mod_10))) { |
| 633 |
value = value * 10 + digit; |
| 634 |
if (++s < send) |
| 635 |
digit = *s - '0'; |
| 636 |
else |
| 637 |
break; |
| 638 |
} |
| 639 |
if (digit >= 0 && digit <= 9 |
| 640 |
&& (s < send)) { |
| 641 |
/* value overflowed. |
| 642 |
skip the remaining digits, don't |
| 643 |
worry about setting *valuep. */ |
| 644 |
do { |
| 645 |
s++; |
| 646 |
} while (s < send && isDIGIT(*s)); |
| 647 |
numtype |= |
| 648 |
IS_NUMBER_GREATER_THAN_UV_MAX; |
| 649 |
goto skip_value; |
| 650 |
} |
| 651 |
} |
| 652 |
} |
| 653 |
} |
| 654 |
} |
| 655 |
} |
| 656 |
} |
| 657 |
} |
| 658 |
} |
| 659 |
} |
| 660 |
} |
| 661 |
} |
| 662 |
} |
| 663 |
} |
| 664 |
} |
| 665 |
} |
| 666 |
} |
| 667 |
} |
| 668 |
numtype |= IS_NUMBER_IN_UV; |
| 669 |
if (valuep) |
| 670 |
*valuep = value; |
| 671 |
|
| 672 |
skip_value: |
| 673 |
if (GROK_NUMERIC_RADIX(&s, send)) { |
| 674 |
numtype |= IS_NUMBER_NOT_INT; |
| 675 |
while (s < send && isDIGIT(*s)) /* optional digits after the radix */ |
| 676 |
s++; |
| 677 |
} |
| 678 |
} |
| 679 |
else if (GROK_NUMERIC_RADIX(&s, send)) { |
| 680 |
numtype |= IS_NUMBER_NOT_INT | IS_NUMBER_IN_UV; /* valuep assigned below */ |
| 681 |
/* no digits before the radix means we need digits after it */ |
| 682 |
if (s < send && isDIGIT(*s)) { |
| 683 |
do { |
| 684 |
s++; |
| 685 |
} while (s < send && isDIGIT(*s)); |
| 686 |
if (valuep) { |
| 687 |
/* integer approximation is valid - it's 0. */ |
| 688 |
*valuep = 0; |
| 689 |
} |
| 690 |
} |
| 691 |
else |
| 692 |
return 0; |
| 693 |
} else if (*s == 'I' || *s == 'i') { |
| 694 |
s++; if (s == send || (*s != 'N' && *s != 'n')) return 0; |
| 695 |
s++; if (s == send || (*s != 'F' && *s != 'f')) return 0; |
| 696 |
s++; if (s < send && (*s == 'I' || *s == 'i')) { |
| 697 |
s++; if (s == send || (*s != 'N' && *s != 'n')) return 0; |
| 698 |
s++; if (s == send || (*s != 'I' && *s != 'i')) return 0; |
| 699 |
s++; if (s == send || (*s != 'T' && *s != 't')) return 0; |
| 700 |
s++; if (s == send || (*s != 'Y' && *s != 'y')) return 0; |
| 701 |
s++; |
| 702 |
} |
| 703 |
sawinf = 1; |
| 704 |
} else if (*s == 'N' || *s == 'n') { |
| 705 |
/* XXX TODO: There are signaling NaNs and quiet NaNs. */ |
| 706 |
s++; if (s == send || (*s != 'A' && *s != 'a')) return 0; |
| 707 |
s++; if (s == send || (*s != 'N' && *s != 'n')) return 0; |
| 708 |
s++; |
| 709 |
sawnan = 1; |
| 710 |
} else |
| 711 |
return 0; |
| 712 |
|
| 713 |
if (sawinf) { |
| 714 |
numtype &= IS_NUMBER_NEG; /* Keep track of sign */ |
| 715 |
numtype |= IS_NUMBER_INFINITY | IS_NUMBER_NOT_INT; |
| 716 |
} else if (sawnan) { |
| 717 |
numtype &= IS_NUMBER_NEG; /* Keep track of sign */ |
| 718 |
numtype |= IS_NUMBER_NAN | IS_NUMBER_NOT_INT; |
| 719 |
} else if (s < send) { |
| 720 |
/* we can have an optional exponent part */ |
| 721 |
if (*s == 'e' || *s == 'E') { |
| 722 |
/* The only flag we keep is sign. Blow away any "it's UV" */ |
| 723 |
numtype &= IS_NUMBER_NEG; |
| 724 |
numtype |= IS_NUMBER_NOT_INT; |
| 725 |
s++; |
| 726 |
if (s < send && (*s == '-' || *s == '+')) |
| 727 |
s++; |
| 728 |
if (s < send && isDIGIT(*s)) { |
| 729 |
do { |
| 730 |
s++; |
| 731 |
} while (s < send && isDIGIT(*s)); |
| 732 |
} |
| 733 |
else |
| 734 |
return 0; |
| 735 |
} |
| 736 |
} |
| 737 |
while (s < send && isSPACE(*s)) |
| 738 |
s++; |
| 739 |
if (s >= send) |
| 740 |
return numtype; |
| 741 |
if (len == 10 && memEQ(pv, "0 but true", 10)) { |
| 742 |
if (valuep) |
| 743 |
*valuep = 0; |
| 744 |
return IS_NUMBER_IN_UV; |
| 745 |
} |
| 746 |
return 0; |
| 747 |
} |
| 748 |
|
| 749 |
STATIC NV |
| 750 |
S_mulexp10(NV value, I32 exponent) |
| 751 |
{ |
| 752 |
NV result = 1.0; |
| 753 |
NV power = 10.0; |
| 754 |
bool negative = 0; |
| 755 |
I32 bit; |
| 756 |
|
| 757 |
if (exponent == 0) |
| 758 |
return value; |
| 759 |
if (value == 0) |
| 760 |
return 0; |
| 761 |
|
| 762 |
/* On OpenVMS VAX we by default use the D_FLOAT double format, |
| 763 |
* and that format does not have *easy* capabilities [1] for |
| 764 |
* overflowing doubles 'silently' as IEEE fp does. We also need |
| 765 |
* to support G_FLOAT on both VAX and Alpha, and though the exponent |
| 766 |
* range is much larger than D_FLOAT it still doesn't do silent |
| 767 |
* overflow. Therefore we need to detect early whether we would |
| 768 |
* overflow (this is the behaviour of the native string-to-float |
| 769 |
* conversion routines, and therefore of native applications, too). |
| 770 |
* |
| 771 |
* [1] Trying to establish a condition handler to trap floating point |
| 772 |
* exceptions is not a good idea. */ |
| 773 |
|
| 774 |
/* In UNICOS and in certain Cray models (such as T90) there is no |
| 775 |
* IEEE fp, and no way at all from C to catch fp overflows gracefully. |
| 776 |
* There is something you can do if you are willing to use some |
| 777 |
* inline assembler: the instruction is called DFI-- but that will |
| 778 |
* disable *all* floating point interrupts, a little bit too large |
| 779 |
* a hammer. Therefore we need to catch potential overflows before |
| 780 |
* it's too late. */ |
| 781 |
|
| 782 |
#if ((defined(VMS) && !defined(__IEEE_FP)) || defined(_UNICOS)) && defined(NV_MAX_10_EXP) |
| 783 |
STMT_START { |
| 784 |
NV exp_v = log10(value); |
| 785 |
if (exponent >= NV_MAX_10_EXP || exponent + exp_v >= NV_MAX_10_EXP) |
| 786 |
return NV_MAX; |
| 787 |
if (exponent < 0) { |
| 788 |
if (-(exponent + exp_v) >= NV_MAX_10_EXP) |
| 789 |
return 0.0; |
| 790 |
while (-exponent >= NV_MAX_10_EXP) { |
| 791 |
/* combination does not overflow, but 10^(-exponent) does */ |
| 792 |
value /= 10; |
| 793 |
++exponent; |
| 794 |
} |
| 795 |
} |
| 796 |
} STMT_END; |
| 797 |
#endif |
| 798 |
|
| 799 |
if (exponent < 0) { |
| 800 |
negative = 1; |
| 801 |
exponent = -exponent; |
| 802 |
} |
| 803 |
for (bit = 1; exponent; bit <<= 1) { |
| 804 |
if (exponent & bit) { |
| 805 |
exponent ^= bit; |
| 806 |
result *= power; |
| 807 |
/* Floating point exceptions are supposed to be turned off, |
| 808 |
* but if we're obviously done, don't risk another iteration. |
| 809 |
*/ |
| 810 |
if (exponent == 0) break; |
| 811 |
} |
| 812 |
power *= power; |
| 813 |
} |
| 814 |
return negative ? value / result : value * result; |
| 815 |
} |
| 816 |
|
| 817 |
NV |
| 818 |
Perl_my_atof(pTHX_ const char* s) |
| 819 |
{ |
| 820 |
NV x = 0.0; |
| 821 |
#ifdef USE_LOCALE_NUMERIC |
| 822 |
if (PL_numeric_local && IN_LOCALE) { |
| 823 |
NV y; |
| 824 |
|
| 825 |
/* Scan the number twice; once using locale and once without; |
| 826 |
* choose the larger result (in absolute value). */ |
| 827 |
Perl_atof2(s, x); |
| 828 |
SET_NUMERIC_STANDARD(); |
| 829 |
Perl_atof2(s, y); |
| 830 |
SET_NUMERIC_LOCAL(); |
| 831 |
if ((y < 0.0 && y < x) || (y > 0.0 && y > x)) |
| 832 |
return y; |
| 833 |
} |
| 834 |
else |
| 835 |
Perl_atof2(s, x); |
| 836 |
#else |
| 837 |
Perl_atof2(s, x); |
| 838 |
#endif |
| 839 |
return x; |
| 840 |
} |
| 841 |
|
| 842 |
char* |
| 843 |
Perl_my_atof2(pTHX_ const char* orig, NV* value) |
| 844 |
{ |
| 845 |
NV result[3] = {0.0, 0.0, 0.0}; |
| 846 |
char* s = (char*)orig; |
| 847 |
#ifdef USE_PERL_ATOF |
| 848 |
UV accumulator[2] = {0,0}; /* before/after dp */ |
| 849 |
bool negative = 0; |
| 850 |
char* send = s + strlen(orig) - 1; |
| 851 |
bool seen_digit = 0; |
| 852 |
I32 exp_adjust[2] = {0,0}; |
| 853 |
I32 exp_acc[2] = {-1, -1}; |
| 854 |
/* the current exponent adjust for the accumulators */ |
| 855 |
I32 exponent = 0; |
| 856 |
I32 seen_dp = 0; |
| 857 |
I32 digit = 0; |
| 858 |
I32 old_digit = 0; |
| 859 |
I32 sig_digits = 0; /* noof significant digits seen so far */ |
| 860 |
|
| 861 |
/* There is no point in processing more significant digits |
| 862 |
* than the NV can hold. Note that NV_DIG is a lower-bound value, |
| 863 |
* while we need an upper-bound value. We add 2 to account for this; |
| 864 |
* since it will have been conservative on both the first and last digit. |
| 865 |
* For example a 32-bit mantissa with an exponent of 4 would have |
| 866 |
* exact values in the set |
| 867 |
* 4 |
| 868 |
* 8 |
| 869 |
* .. |
| 870 |
* 17179869172 |
| 871 |
* 17179869176 |
| 872 |
* 17179869180 |
| 873 |
* |
| 874 |
* where for the purposes of calculating NV_DIG we would have to discount |
| 875 |
* both the first and last digit, since neither can hold all values from |
| 876 |
* 0..9; but for calculating the value we must examine those two digits. |
| 877 |
*/ |
| 878 |
#define MAX_SIG_DIGITS (NV_DIG+2) |
| 879 |
|
| 880 |
/* the max number we can accumulate in a UV, and still safely do 10*N+9 */ |
| 881 |
#define MAX_ACCUMULATE ( (UV) ((UV_MAX - 9)/10)) |
| 882 |
|
| 883 |
/* leading whitespace */ |
| 884 |
while (isSPACE(*s)) |
| 885 |
++s; |
| 886 |
|
| 887 |
/* sign */ |
| 888 |
switch (*s) { |
| 889 |
case '-': |
| 890 |
negative = 1; |
| 891 |
/* fall through */ |
| 892 |
case '+': |
| 893 |
++s; |
| 894 |
} |
| 895 |
|
| 896 |
/* we accumulate digits into an integer; when this becomes too |
| 897 |
* large, we add the total to NV and start again */ |
| 898 |
|
| 899 |
while (1) { |
| 900 |
if (isDIGIT(*s)) { |
| 901 |
seen_digit = 1; |
| 902 |
old_digit = digit; |
| 903 |
digit = *s++ - '0'; |
| 904 |
if (seen_dp) |
| 905 |
exp_adjust[1]++; |
| 906 |
|
| 907 |
/* don't start counting until we see the first significant |
| 908 |
* digit, eg the 5 in 0.00005... */ |
| 909 |
if (!sig_digits && digit == 0) |
| 910 |
continue; |
| 911 |
|
| 912 |
if (++sig_digits > MAX_SIG_DIGITS) { |
| 913 |
/* limits of precision reached */ |
| 914 |
if (digit > 5) { |
| 915 |
++accumulator[seen_dp]; |
| 916 |
} else if (digit == 5) { |
| 917 |
if (old_digit % 2) { /* round to even - Allen */ |
| 918 |
++accumulator[seen_dp]; |
| 919 |
} |
| 920 |
} |
| 921 |
if (seen_dp) { |
| 922 |
exp_adjust[1]--; |
| 923 |
} else { |
| 924 |
exp_adjust[0]++; |
| 925 |
} |
| 926 |
/* skip remaining digits */ |
| 927 |
while (isDIGIT(*s)) { |
| 928 |
++s; |
| 929 |
if (! seen_dp) { |
| 930 |
exp_adjust[0]++; |
| 931 |
} |
| 932 |
} |
| 933 |
/* warn of loss of precision? */ |
| 934 |
} |
| 935 |
else { |
| 936 |
if (accumulator[seen_dp] > MAX_ACCUMULATE) { |
| 937 |
/* add accumulator to result and start again */ |
| 938 |
result[seen_dp] = S_mulexp10(result[seen_dp], |
| 939 |
exp_acc[seen_dp]) |
| 940 |
+ (NV)accumulator[seen_dp]; |
| 941 |
accumulator[seen_dp] = 0; |
| 942 |
exp_acc[seen_dp] = 0; |
| 943 |
} |
| 944 |
accumulator[seen_dp] = accumulator[seen_dp] * 10 + digit; |
| 945 |
++exp_acc[seen_dp]; |
| 946 |
} |
| 947 |
} |
| 948 |
else if (!seen_dp && GROK_NUMERIC_RADIX((const char **)&s, send)) { |
| 949 |
seen_dp = 1; |
| 950 |
if (sig_digits > MAX_SIG_DIGITS) { |
| 951 |
++s; |
| 952 |
while (isDIGIT(*s)) { |
| 953 |
++s; |
| 954 |
} |
| 955 |
break; |
| 956 |
} |
| 957 |
} |
| 958 |
else { |
| 959 |
break; |
| 960 |
} |
| 961 |
} |
| 962 |
|
| 963 |
result[0] = S_mulexp10(result[0], exp_acc[0]) + (NV)accumulator[0]; |
| 964 |
if (seen_dp) { |
| 965 |
result[1] = S_mulexp10(result[1], exp_acc[1]) + (NV)accumulator[1]; |
| 966 |
} |
| 967 |
|
| 968 |
if (seen_digit && (*s == 'e' || *s == 'E')) { |
| 969 |
bool expnegative = 0; |
| 970 |
|
| 971 |
++s; |
| 972 |
switch (*s) { |
| 973 |
case '-': |
| 974 |
expnegative = 1; |
| 975 |
/* fall through */ |
| 976 |
case '+': |
| 977 |
++s; |
| 978 |
} |
| 979 |
while (isDIGIT(*s)) |
| 980 |
exponent = exponent * 10 + (*s++ - '0'); |
| 981 |
if (expnegative) |
| 982 |
exponent = -exponent; |
| 983 |
} |
| 984 |
|
| 985 |
|
| 986 |
|
| 987 |
/* now apply the exponent */ |
| 988 |
|
| 989 |
if (seen_dp) { |
| 990 |
result[2] = S_mulexp10(result[0],exponent+exp_adjust[0]) |
| 991 |
+ S_mulexp10(result[1],exponent-exp_adjust[1]); |
| 992 |
} else { |
| 993 |
result[2] = S_mulexp10(result[0],exponent+exp_adjust[0]); |
| 994 |
} |
| 995 |
|
| 996 |
/* now apply the sign */ |
| 997 |
if (negative) |
| 998 |
result[2] = -result[2]; |
| 999 |
#endif /* USE_PERL_ATOF */ |
| 1000 |
*value = result[2]; |
| 1001 |
return s; |
| 1002 |
} |
| 1003 |
|
| 1004 |
#if ! defined(HAS_MODFL) && defined(HAS_AINTL) && defined(HAS_COPYSIGNL) |
| 1005 |
long double |
| 1006 |
Perl_my_modfl(long double x, long double *ip) |
| 1007 |
{ |
| 1008 |
*ip = aintl(x); |
| 1009 |
return (x == *ip ? copysignl(0.0L, x) : x - *ip); |
| 1010 |
} |
| 1011 |
#endif |
| 1012 |
|
| 1013 |
#if ! defined(HAS_FREXPL) && defined(HAS_ILOGBL) && defined(HAS_SCALBNL) |
| 1014 |
long double |
| 1015 |
Perl_my_frexpl(long double x, int *e) { |
| 1016 |
*e = x == 0.0L ? 0 : ilogbl(x) + 1; |
| 1017 |
return (scalbnl(x, -*e)); |
| 1018 |
} |
| 1019 |
#endif |