1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568
|
/*
NrrdIO: stand-alone code for basic nrrd functionality
Copyright (C) 2008, 2007, 2006, 2005 Gordon Kindlmann
Copyright (C) 2004, 2003, 2002, 2001, 2000, 1999, 1998 University of Utah
This software is provided 'as-is', without any express or implied
warranty. In no event will the authors be held liable for any
damages arising from the use of this software.
Permission is granted to anyone to use this software for any
purpose, including commercial applications, and to alter it and
redistribute it freely, subject to the following restrictions:
1. The origin of this software must not be misrepresented; you must
not claim that you wrote the original software. If you use this
software in a product, an acknowledgment in the product
documentation would be appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must
not be misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
*/
#include "NrrdIO.h"
#include "privateAir.h"
#include "teemEndian.h"
#include "teemQnanhibit.h"
/*
** all this is based on a reading of
** Hennessy + Patterson "Computer Architecture, A Quantitative Approach"
** pages A-13 - A-17
**
** and some assorted web pages
*/
/*
** The hex numbers in braces are examples of C's "initial member of a union"
** aggregate initialization.
*/
#if TEEM_QNANHIBIT == 1
const int airMyQNaNHiBit = 1;
const airFloat airFloatQNaN = {0x7fffffff};
const airFloat airFloatSNaN = {0x7fbfffff};
#else
const int airMyQNaNHiBit = 0;
const airFloat airFloatQNaN = {0x7fbfffff};
const airFloat airFloatSNaN = {0x7fffffff};
#endif
const airFloat airFloatPosInf = {0x7f800000};
const airFloat airFloatNegInf = {0xff800000}; /* why does solaris whine? */
/*
** these shouldn't be needed, but here they are if need be:
in this file:
const airFloat airFloatMax = {0x7f7fffff};
const airFloat airFloatMin = {0x00800000};
const airDouble airDoubleMax = {AIR_ULLONG(0x7fefffffffffffff)};
const airDouble airDoubleMin = {AIR_ULLONG(0x0010000000000000)};
in air.h:
extern air_export const airFloat airFloatMax;
extern air_export const airFloat airFloatMin;
extern air_export const airDouble airDoubleMax;
extern air_export const airDouble airDoubleMin;
#define AIR_FLT_MIN (airFloatMin.f)
#define AIR_FLT_MAX (airFloatMax.f)
#define AIR_DBL_MIN (airDoubleMin.d)
#define AIR_DBL_MAX (airDoubleMax.d)
*/
#define FP_SET_F(flt, s, e, m) \
flt.c.sign = (s); \
flt.c.expo = (e); \
flt.c.mant = (m)
#define FP_GET_F(s, e, m, flt) \
(s) = flt.c.sign; \
(e) = flt.c.expo; \
(m) = flt.c.mant
#define FP_SET_D(dbl, s, e, m0, m1) \
dbl.c.sign = (s); \
dbl.c.expo = (e); \
dbl.c.mant0 = (m0); \
dbl.c.mant1 = (m1)
#define FP_GET_D(s, e, m0, m1, dbl) \
(s) = dbl.c.sign; \
(e) = dbl.c.expo; \
(m0) = dbl.c.mant0; \
(m1) = dbl.c.mant1
float
airFPPartsToVal_f(unsigned int sign,
unsigned int expo,
unsigned int mant) {
_airFloat f;
FP_SET_F(f, sign, expo, mant);
return f.v;
}
void
airFPValToParts_f(unsigned int *signP,
unsigned int *expoP,
unsigned int *mantP, float v) {
_airFloat f;
f.v = v;
FP_GET_F(*signP, *expoP, *mantP, f);
}
double
airFPPartsToVal_d(unsigned int sign,
unsigned int expo,
unsigned int mant0,
unsigned int mant1) {
_airDouble d;
FP_SET_D(d, sign, expo, mant0, mant1);
return d.v;
}
/*
** Disable the 'local variable used without having been initialized'
** warning produced by the MSVC compiler
*/
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable : 4700)
#endif
void
airFPValToParts_d(unsigned int *signP,
unsigned int *expoP,
unsigned int *mant0P,
unsigned int *mant1P, double v) {
_airDouble d;
d.v = v;
FP_GET_D(*signP, *expoP, *mant0P, *mant1P, d);
}
#ifdef _MSC_VER
#pragma warning(pop)
#endif
/*
******** airFPGen_f()
**
** generates a floating point value which is a member of the given class
*/
float
airFPGen_f(int cls) {
_airFloat f;
switch(cls) {
case airFP_SNAN:
/* sgn: anything, mant: anything non-zero with high bit !TEEM_QNANHIBIT */
FP_SET_F(f, 0, 0xff, (!TEEM_QNANHIBIT << 22) | 0x3fffff);
break;
case airFP_QNAN:
/* sgn: anything, mant: anything non-zero with high bit TEEM_QNANHIBIT */
FP_SET_F(f, 0, 0xff, (TEEM_QNANHIBIT << 22) | 0x3fffff);
break;
case airFP_POS_INF:
FP_SET_F(f, 0, 0xff, 0);
break;
case airFP_NEG_INF:
FP_SET_F(f, 1, 0xff, 0);
break;
case airFP_POS_NORM:
/* exp: anything non-zero but < 0xff, mant: anything */
FP_SET_F(f, 0, 0x80, 0x7ff000);
break;
case airFP_NEG_NORM:
/* exp: anything non-zero but < 0xff, mant: anything */
FP_SET_F(f, 1, 0x80, 0x7ff000);
break;
case airFP_POS_DENORM:
/* mant: anything non-zero */
FP_SET_F(f, 0, 0, 0xff);
break;
case airFP_NEG_DENORM:
/* mant: anything non-zero */
FP_SET_F(f, 1, 0, 0xff);
break;
case airFP_POS_ZERO:
FP_SET_F(f, 0, 0, 0);
break;
case airFP_NEG_ZERO:
FP_SET_F(f, 1, 0, 0);
break;
default:
/* User is a moron. What can you do? */
f.v = 42;
break;
}
return f.v;
}
/*
******** airFPGen_d()
**
** generates a floating point value which is a member of the given class
*/
double
airFPGen_d(int cls) {
_airDouble f;
switch(cls) {
case airFP_SNAN:
/* sgn: anything, mant: anything non-zero with high bit !TEEM_QNANHIBIT */
FP_SET_D(f, 0, 0x7ff, (!TEEM_QNANHIBIT << 19) | 0x7ffff, 0xffffffff);
break;
case airFP_QNAN:
/* sgn: anything, mant anything non-zero with high bit TEEM_QNANHIBIT */
FP_SET_D(f, 0, 0x7ff, (TEEM_QNANHIBIT << 19) | 0x7ffff, 0xffffffff);
break;
case airFP_POS_INF:
FP_SET_D(f, 0, 0x7ff, 0, 0);
break;
case airFP_NEG_INF:
FP_SET_D(f, 1, 0x7ff, 0, 0);
break;
case airFP_POS_NORM:
/* exp: anything non-zero but < 0xff, mant: anything */
FP_SET_D(f, 0, 0x400, 0x0ff00, 0);
break;
case airFP_NEG_NORM:
/* exp: anything non-zero but < 0xff, mant: anything */
FP_SET_D(f, 1, 0x400, 0x0ff00, 0);
break;
case airFP_POS_DENORM:
/* mant: anything non-zero */
FP_SET_D(f, 0, 0, 0xff, 0);
break;
case airFP_NEG_DENORM:
/* mant: anything non-zero */
FP_SET_D(f, 1, 0, 0xff, 0);
break;
case airFP_POS_ZERO:
FP_SET_D(f, 0, 0, 0, 0);
break;
case airFP_NEG_ZERO:
FP_SET_D(f, 1, 0, 0, 0);
break;
default:
/* User is a moron. What can you do? */
f.v = 42;
break;
}
return f.v;
}
/*
******** airFPClass_f()
**
** given a floating point number, tells which class its in
*/
int
airFPClass_f(float val) {
_airFloat f;
unsigned int sign, expv, mant;
int indexv, ret = 0;
f.v = val;
FP_GET_F(sign, expv, mant, f);
indexv = ((!!sign) << 2) | ((!!expv) << 1) | (!!mant);
switch(indexv) {
case 0:
/* all fields are zero */
ret = airFP_POS_ZERO;
break;
case 1:
/* only mantissa is non-zero */
ret = airFP_POS_DENORM;
break;
case 2:
/* only exponent field is non-zero */
if (0xff == expv) {
ret = airFP_POS_INF;
} else {
ret = airFP_POS_NORM;
}
break;
case 3:
/* exponent and mantissa fields are non-zero */
if (0xff == expv) {
if (TEEM_QNANHIBIT == mant >> 22) {
ret = airFP_QNAN;
} else {
ret = airFP_SNAN;
}
} else {
ret = airFP_POS_NORM;
}
break;
case 4:
/* only sign field is non-zero */
ret = airFP_NEG_ZERO;
break;
case 5:
/* sign and mantissa fields are non-zero */
ret = airFP_NEG_DENORM;
break;
case 6:
/* sign and exponent fields are non-zero */
if (0xff > expv) {
ret = airFP_NEG_NORM;
} else {
ret = airFP_NEG_INF;
}
break;
case 7:
/* all fields are non-zero */
if (0xff > expv) {
ret = airFP_NEG_NORM;
} else {
if (TEEM_QNANHIBIT == mant >> 22) {
ret = airFP_QNAN;
} else {
ret = airFP_SNAN;
}
}
break;
}
return ret;
}
/*
** Disable the 'local variable used without having been initialized'
** warning produced by the MSVC compiler
*/
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable : 4700)
#endif
/*
******** airFPClass_d()
**
** given a double, tells which class its in
*/
int
airFPClass_d(double val) {
_airDouble f;
unsigned int sign, expo, mant0, mant1;
int hibit, indexv, ret=0;
f.v = val;
sign = f.c.sign;
expo = f.c.expo; /* this seems to be a WIN32 bug: on a quiet-NaN, f.c.exp
should be non-zero, but it was completely zero, so
that this function returned airFP_NEG_DENORM instead
of airFP_QNAN */
mant0 = f.c.mant0;
mant1 = f.c.mant1;
hibit = mant0 >> 19;
indexv = ((!!sign) << 2) | ((!!expo) << 1) | (!!mant0 || !!mant1);
switch(indexv) {
case 0:
/* all fields are zero */
ret = airFP_POS_ZERO;
break;
case 1:
/* only fractional field is non-zero */
ret = airFP_POS_DENORM;
break;
case 2:
/* only exponent field is non-zero */
if (0x7ff > expo) {
ret = airFP_POS_NORM;
} else {
ret = airFP_POS_INF;
}
break;
case 3:
/* exponent and fractional fields are non-zero */
if (0x7ff > expo) {
ret = airFP_POS_NORM;
} else {
if (TEEM_QNANHIBIT == hibit) {
ret = airFP_QNAN;
} else {
ret = airFP_SNAN;
}
}
break;
case 4:
/* only sign field is non-zero */
ret = airFP_NEG_ZERO;
break;
case 5:
/* sign and fractional fields are non-zero */
ret = airFP_NEG_DENORM;
break;
case 6:
/* sign and exponent fields are non-zero */
if (0x7ff > expo) {
ret = airFP_NEG_NORM;
} else {
ret = airFP_NEG_INF;
}
break;
case 7:
/* all fields are non-zero */
if (0x7ff > expo)
ret = airFP_NEG_NORM;
else {
if (TEEM_QNANHIBIT == hibit) {
ret = airFP_QNAN;
} else {
ret = airFP_SNAN;
}
}
break;
}
return ret;
}
#ifdef _MSC_VER
#pragma warning(pop)
#endif
/*
******** airIsNaN()
**
** returns 1 if input is either kind of NaN, 0 otherwise. It is okay
** to only have a double version of this function, as opposed to
** having one for float and one for double, because Section 6.2 of the
** 754 spec tells us that that NaN is to be preserved across precision
** changes (and airSanity() explicitly checks for this).
*/
int
airIsNaN(double g) {
_airFloat f;
f.v = (float)g;
return (0xff == f.c.expo && f.c.mant);
}
/*
******** airIsInf_f(), airIsInf_d()
**
** returns 1 if input is positive infinity,
** -1 if negative infinity,
** or 0 otherwise (including NaN)
**
** thus the non-zero-ness of the return is an easy way to do a
** boolean check of whether the value is infinite
*/
int
airIsInf_f(float f) {
int c, ret;
c = airFPClass_f(f);
if (airFP_POS_INF == c) {
ret = 1;
} else if (airFP_NEG_INF == c) {
ret = -1;
} else {
ret = 0;
}
return ret;
}
int
airIsInf_d(double d) {
int c, ret;
c = airFPClass_d(d);
if (airFP_POS_INF == c) {
ret = 1;
} else if (airFP_NEG_INF == c) {
ret = -1;
} else {
ret = 0;
}
return ret;
}
/* airExists_f() airExists_d() were nixed because they weren't used-
you can just use AIR_EXISTS_F and AIR_EXISTS_D directly */
/*
******** airExists()
**
** an optimization-proof alternative to AIR_EXISTS
*/
int
airExists(double val) {
_airDouble d;
d.v = val;
return 0x7ff != d.c.expo;
}
/*
******** airNaN()
**
** returns a float quiet NaN
*/
float
airNaN(void) {
return airFPGen_f(airFP_QNAN);
}
/*
******** airFPFprintf_f()
**
** prints out the bits of a "float", indicating the three different fields
*/
void
airFPFprintf_f(FILE *file, float val) {
int i;
unsigned int sign, expo, mant;
_airFloat f;
if (file) {
f.v = val;
FP_GET_F(sign, expo, mant, f);
fprintf(file, "%f: class %d; 0x%08x = ",val, airFPClass_f(val), f.i);
fprintf(file, "sign:0x%x, expo:0x%02x, mant:0x%06x = \n",
sign, expo, mant);
fprintf(file, " S [ . . Exp . . ] "
"[ . . . . . . . . . Mant. . . . . . . . . . ]\n");
fprintf(file, " %d ", sign);
for (i=7; i>=0; i--) {
fprintf(file, "%d ", (expo >> i) & 1);
}
for (i=22; i>=0; i--) {
fprintf(file, "%d ", (mant >> i) & 1);
}
fprintf(file, "\n");
}
}
/*
******** airFPFprintf_d()
**
** prints out the bits of a "double", indicating the three different fields
*/
void
airFPFprintf_d(FILE *file, double val) {
int i;
_airDouble d;
if (file) {
d.v = val;
fprintf(file, "%f: class %d; 0x%08x %08x = \n",
val, airFPClass_d(val), d.h.half1, d.h.half0);
fprintf(file, "sign:0x%x, expo:0x%03x, mant:0x%05x %08x = \n",
d.c.sign, d.c.expo, d.c.mant0, d.c.mant1);
fprintf(file, "S[...Exp...][.......................Mant.......................]\n");
fprintf(file, "%d", d.c.sign);
for (i=10; i>=0; i--) {
fprintf(file, "%d", (d.c.expo >> i) & 1);
}
for (i=19; i>=0; i--) {
fprintf(file, "%d", (d.c.mant0 >> i) & 1);
}
for (i=31; i>=0; i--) {
fprintf(file, "%d", (d.c.mant1 >> i) & 1);
}
fprintf(file, "\n");
}
}
|