1/* Local definitions for the decNumber C Library. 2 Copyright (C) 2007-2015 Free Software Foundation, Inc. 3 Contributed by IBM Corporation. Author Mike Cowlishaw. 4 5 This file is part of GCC. 6 7 GCC is free software; you can redistribute it and/or modify it under 8 the terms of the GNU General Public License as published by the Free 9 Software Foundation; either version 3, or (at your option) any later 10 version. 11 12 GCC is distributed in the hope that it will be useful, but WITHOUT ANY 13 WARRANTY; without even the implied warranty of MERCHANTABILITY or 14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License 15 for more details. 16 17Under Section 7 of GPL version 3, you are granted additional 18permissions described in the GCC Runtime Library Exception, version 193.1, as published by the Free Software Foundation. 20 21You should have received a copy of the GNU General Public License and 22a copy of the GCC Runtime Library Exception along with this program; 23see the files COPYING3 and COPYING.RUNTIME respectively. If not, see 24<http://www.gnu.org/licenses/>. */ 25 26/* ------------------------------------------------------------------ */ 27/* decNumber package local type, tuning, and macro definitions */ 28/* ------------------------------------------------------------------ */ 29/* This header file is included by all modules in the decNumber */ 30/* library, and contains local type definitions, tuning parameters, */ 31/* etc. It should not need to be used by application programs. */ 32/* decNumber.h or one of decDouble (etc.) must be included first. */ 33/* ------------------------------------------------------------------ */ 34 35#if !defined(DECNUMBERLOC) 36 #define DECNUMBERLOC 37 #define DECVERSION "decNumber 3.61" /* Package Version [16 max.] */ 38 #define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */ 39 40 #include <stdlib.h> /* for abs */ 41 #include <string.h> /* for memset, strcpy */ 42 #include "dconfig.h" /* for WORDS_BIGENDIAN */ 43 44 /* Conditional code flag -- set this to match hardware platform */ 45 /* 1=little-endian, 0=big-endian */ 46 #if WORDS_BIGENDIAN 47 #define DECLITEND 0 48 #else 49 #define DECLITEND 1 50 #endif 51 52 #if !defined(DECLITEND) 53 #define DECLITEND 1 /* 1=little-endian, 0=big-endian */ 54 #endif 55 56 /* Conditional code flag -- set this to 1 for best performance */ 57 #if !defined(DECUSE64) 58 #define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */ 59 #endif 60 61 /* Conditional check flags -- set these to 0 for best performance */ 62 #if !defined(DECCHECK) 63 #define DECCHECK 0 /* 1 to enable robust checking */ 64 #endif 65 #if !defined(DECALLOC) 66 #define DECALLOC 0 /* 1 to enable memory accounting */ 67 #endif 68 #if !defined(DECTRACE) 69 #define DECTRACE 0 /* 1 to trace certain internals, etc. */ 70 #endif 71 72 /* Tuning parameter for decNumber (arbitrary precision) module */ 73 #if !defined(DECBUFFER) 74 #define DECBUFFER 36 /* Size basis for local buffers. This */ 75 /* should be a common maximum precision */ 76 /* rounded up to a multiple of 4; must */ 77 /* be zero or positive. */ 78 #endif 79 80 /* ---------------------------------------------------------------- */ 81 /* Definitions for all modules (general-purpose) */ 82 /* ---------------------------------------------------------------- */ 83 84 /* Local names for common types -- for safety, decNumber modules do */ 85 /* not use int or long directly. */ 86 #define Flag uint8_t 87 #define Byte int8_t 88 #define uByte uint8_t 89 #define Short int16_t 90 #define uShort uint16_t 91 #define Int int32_t 92 #define uInt uint32_t 93 #define Unit decNumberUnit 94 #if DECUSE64 95 #define Long int64_t 96 #define uLong uint64_t 97 #endif 98 99 /* Development-use definitions */ 100 typedef long int LI; /* for printf arguments only */ 101 #define DECNOINT 0 /* 1 to check no internal use of 'int' */ 102 /* or stdint types */ 103 #if DECNOINT 104 /* if these interfere with your C includes, do not set DECNOINT */ 105 #define int ? /* enable to ensure that plain C 'int' */ 106 #define long ?? /* .. or 'long' types are not used */ 107 #endif 108 109 /* Shared lookup tables */ 110 extern const uByte DECSTICKYTAB[10]; /* re-round digits if sticky */ 111 extern const uInt DECPOWERS[10]; /* powers of ten table */ 112 /* The following are included from decDPD.h */ 113 #include "decDPDSymbols.h" 114 extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */ 115 extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */ 116 extern const uInt DPD2BINK[1024]; /* DPD -> 0-999000 */ 117 extern const uInt DPD2BINM[1024]; /* DPD -> 0-999000000 */ 118 extern const uByte DPD2BCD8[4096]; /* DPD -> ddd + len */ 119 extern const uByte BIN2BCD8[4000]; /* 0-999 -> ddd + len */ 120 extern const uShort BCD2DPD[2458]; /* 0-0x999 -> DPD (0x999=2457)*/ 121 122 /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts */ 123 /* (that is, sets w to be the high-order word of the 64-bit result; */ 124 /* the low-order word is simply u*v.) */ 125 /* This version is derived from Knuth via Hacker's Delight; */ 126 /* it seems to optimize better than some others tried */ 127 #define LONGMUL32HI(w, u, v) { \ 128 uInt u0, u1, v0, v1, w0, w1, w2, t; \ 129 u0=u & 0xffff; u1=u>>16; \ 130 v0=v & 0xffff; v1=v>>16; \ 131 w0=u0*v0; \ 132 t=u1*v0 + (w0>>16); \ 133 w1=t & 0xffff; w2=t>>16; \ 134 w1=u0*v1 + w1; \ 135 (w)=u1*v1 + w2 + (w1>>16);} 136 137 /* ROUNDUP -- round an integer up to a multiple of n */ 138 #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n) 139 #define ROUNDUP4(i) (((i)+3)&~3) /* special for n=4 */ 140 141 /* ROUNDDOWN -- round an integer down to a multiple of n */ 142 #define ROUNDDOWN(i, n) (((i)/n)*n) 143 #define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */ 144 145 /* References to multi-byte sequences under different sizes; these */ 146 /* require locally declared variables, but do not violate strict */ 147 /* aliasing or alignment (as did the UINTAT simple cast to uInt). */ 148 /* Variables needed are uswork, uiwork, etc. [so do not use at same */ 149 /* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail]. */ 150 151 /* Return a uInt, etc., from bytes starting at a char* or uByte* */ 152 #define UBTOUS(b) (memcpy((void *)&uswork, b, 2), uswork) 153 #define UBTOUI(b) (memcpy((void *)&uiwork, b, 4), uiwork) 154 155 /* Store a uInt, etc., into bytes starting at a char* or uByte*. */ 156 /* Has to use uiwork because i may be an expression. */ 157 #define UBFROMUS(b, i) (uswork=(i), memcpy(b, (void *)&uswork, 2)) 158 #define UBFROMUI(b, i) (uiwork=(i), memcpy(b, (void *)&uiwork, 4)) 159 160 /* X10 and X100 -- multiply integer i by 10 or 100 */ 161 /* [shifts are usually faster than multiply; could be conditional] */ 162 #define X10(i) (((i)<<1)+((i)<<3)) 163 #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6)) 164 165 /* MAXI and MINI -- general max & min (not in ANSI) for integers */ 166 #define MAXI(x,y) ((x)<(y)?(y):(x)) 167 #define MINI(x,y) ((x)>(y)?(y):(x)) 168 169 /* Useful constants */ 170 #define BILLION 1000000000 /* 10**9 */ 171 /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */ 172 #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0') 173 174 175 /* ---------------------------------------------------------------- */ 176 /* Definitions for arbitary-precision modules (only valid after */ 177 /* decNumber.h has been included) */ 178 /* ---------------------------------------------------------------- */ 179 180 /* Limits and constants */ 181 #define DECNUMMAXP 999999999 /* maximum precision code can handle */ 182 #define DECNUMMAXE 999999999 /* maximum adjusted exponent ditto */ 183 #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto */ 184 #if (DECNUMMAXP != DEC_MAX_DIGITS) 185 #error Maximum digits mismatch 186 #endif 187 #if (DECNUMMAXE != DEC_MAX_EMAX) 188 #error Maximum exponent mismatch 189 #endif 190 #if (DECNUMMINE != DEC_MIN_EMIN) 191 #error Minimum exponent mismatch 192 #endif 193 194 /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */ 195 /* digits, and D2UTABLE -- the initializer for the D2U table */ 196 #if DECDPUN==1 197 #define DECDPUNMAX 9 198 #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \ 199 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \ 200 33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \ 201 48,49} 202 #elif DECDPUN==2 203 #define DECDPUNMAX 99 204 #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10, \ 205 11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \ 206 18,19,19,20,20,21,21,22,22,23,23,24,24,25} 207 #elif DECDPUN==3 208 #define DECDPUNMAX 999 209 #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7, \ 210 8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \ 211 13,14,14,14,15,15,15,16,16,16,17} 212 #elif DECDPUN==4 213 #define DECDPUNMAX 9999 214 #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6, \ 215 6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \ 216 11,11,11,12,12,12,12,13} 217 #elif DECDPUN==5 218 #define DECDPUNMAX 99999 219 #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5, \ 220 5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9, \ 221 9,9,10,10,10,10} 222 #elif DECDPUN==6 223 #define DECDPUNMAX 999999 224 #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4, \ 225 4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8, \ 226 8,8,8,8,8,9} 227 #elif DECDPUN==7 228 #define DECDPUNMAX 9999999 229 #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3, \ 230 4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7, \ 231 7,7,7,7,7,7} 232 #elif DECDPUN==8 233 #define DECDPUNMAX 99999999 234 #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3, \ 235 3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6, \ 236 6,6,6,6,6,7} 237 #elif DECDPUN==9 238 #define DECDPUNMAX 999999999 239 #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3, \ 240 3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, \ 241 5,5,6,6,6,6} 242 #elif defined(DECDPUN) 243 #error DECDPUN must be in the range 1-9 244 #endif 245 246 /* ----- Shared data (in decNumber.c) ----- */ 247 /* Public lookup table used by the D2U macro (see below) */ 248 #define DECMAXD2U 49 249 extern const uByte d2utable[DECMAXD2U+1]; 250 251 /* ----- Macros ----- */ 252 /* ISZERO -- return true if decNumber dn is a zero */ 253 /* [performance-critical in some situations] */ 254 #define ISZERO(dn) decNumberIsZero(dn) /* now just a local name */ 255 256 /* D2U -- return the number of Units needed to hold d digits */ 257 /* (runtime version, with table lookaside for small d) */ 258 #if DECDPUN==8 259 #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3)) 260 #elif DECDPUN==4 261 #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2)) 262 #else 263 #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN) 264 #endif 265 /* SD2U -- static D2U macro (for compile-time calculation) */ 266 #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN) 267 268 /* MSUDIGITS -- returns digits in msu, from digits, calculated */ 269 /* using D2U */ 270 #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN) 271 272 /* D2N -- return the number of decNumber structs that would be */ 273 /* needed to contain that number of digits (and the initial */ 274 /* decNumber struct) safely. Note that one Unit is included in the */ 275 /* initial structure. Used for allocating space that is aligned on */ 276 /* a decNumber struct boundary. */ 277 #define D2N(d) \ 278 ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber)) 279 280 /* TODIGIT -- macro to remove the leading digit from the unsigned */ 281 /* integer u at column cut (counting from the right, LSD=0) and */ 282 /* place it as an ASCII character into the character pointed to by */ 283 /* c. Note that cut must be <= 9, and the maximum value for u is */ 284 /* 2,000,000,000 (as is needed for negative exponents of */ 285 /* subnormals). The unsigned integer pow is used as a temporary */ 286 /* variable. */ 287 #define TODIGIT(u, cut, c, pow) { \ 288 *(c)='0'; \ 289 pow=DECPOWERS[cut]*2; \ 290 if ((u)>pow) { \ 291 pow*=4; \ 292 if ((u)>=pow) {(u)-=pow; *(c)+=8;} \ 293 pow/=2; \ 294 if ((u)>=pow) {(u)-=pow; *(c)+=4;} \ 295 pow/=2; \ 296 } \ 297 if ((u)>=pow) {(u)-=pow; *(c)+=2;} \ 298 pow/=2; \ 299 if ((u)>=pow) {(u)-=pow; *(c)+=1;} \ 300 } 301 302 /* ---------------------------------------------------------------- */ 303 /* Definitions for fixed-precision modules (only valid after */ 304 /* decSingle.h, decDouble.h, or decQuad.h has been included) */ 305 /* ---------------------------------------------------------------- */ 306 307 /* bcdnum -- a structure describing a format-independent finite */ 308 /* number, whose coefficient is a string of bcd8 uBytes */ 309 typedef struct { 310 uByte *msd; /* -> most significant digit */ 311 uByte *lsd; /* -> least ditto */ 312 uInt sign; /* 0=positive, DECFLOAT_Sign=negative */ 313 Int exponent; /* Unadjusted signed exponent (q), or */ 314 /* DECFLOAT_NaN etc. for a special */ 315 } bcdnum; 316 317 /* Test if exponent or bcdnum exponent must be a special, etc. */ 318 #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp) 319 #define EXPISINF(exp) (exp==DECFLOAT_Inf) 320 #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN) 321 #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent)) 322 323 /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */ 324 /* (array) notation (the 0 word or byte contains the sign bit), */ 325 /* automatically adjusting for endianness; similarly address a word */ 326 /* in the next-wider format (decFloatWider, or dfw) */ 327 #define DECWORDS (DECBYTES/4) 328 #define DECWWORDS (DECWBYTES/4) 329 #if DECLITEND 330 #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)]) 331 #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)]) 332 #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)]) 333 #else 334 #define DFBYTE(df, off) ((df)->bytes[off]) 335 #define DFWORD(df, off) ((df)->words[off]) 336 #define DFWWORD(dfw, off) ((dfw)->words[off]) 337 #endif 338 339 /* Tests for sign or specials, directly on DECFLOATs */ 340 #define DFISSIGNED(df) (DFWORD(df, 0)&0x80000000) 341 #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000) 342 #define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000) 343 #define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000) 344 #define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000) 345 #define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000) 346 347 /* Shared lookup tables */ 348#include "decCommonSymbols.h" 349 extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */ 350 extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */ 351 352 /* Private generic (utility) routine */ 353 #if DECCHECK || DECTRACE 354 extern void decShowNum(const bcdnum *, const char *); 355 #endif 356 357 /* Format-dependent macros and constants */ 358 #if defined(DECPMAX) 359 360 /* Useful constants */ 361 #define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */ 362 /* Top words for a zero */ 363 #define SINGLEZERO 0x22500000 364 #define DOUBLEZERO 0x22380000 365 #define QUADZERO 0x22080000 366 /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */ 367 368 /* Format-dependent common tests: */ 369 /* DFISZERO -- test for (any) zero */ 370 /* DFISCCZERO -- test for coefficient continuation being zero */ 371 /* DFISCC01 -- test for coefficient contains only 0s and 1s */ 372 /* DFISINT -- test for finite and exponent q=0 */ 373 /* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */ 374 /* MSD=0 or 1 */ 375 /* ZEROWORD is also defined here. */ 376 /* In DFISZERO the first test checks the least-significant word */ 377 /* (most likely to be non-zero); the penultimate tests MSD and */ 378 /* DPDs in the signword, and the final test excludes specials and */ 379 /* MSD>7. DFISINT similarly has to allow for the two forms of */ 380 /* MSD codes. DFISUINT01 only has to allow for one form of MSD */ 381 /* code. */ 382 #if DECPMAX==7 383 #define ZEROWORD SINGLEZERO 384 /* [test macros not needed except for Zero] */ 385 #define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \ 386 && (DFWORD(df, 0)&0x60000000)!=0x60000000) 387 #elif DECPMAX==16 388 #define ZEROWORD DOUBLEZERO 389 #define DFISZERO(df) ((DFWORD(df, 1)==0 \ 390 && (DFWORD(df, 0)&0x1c03ffff)==0 \ 391 && (DFWORD(df, 0)&0x60000000)!=0x60000000)) 392 #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \ 393 ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000) 394 #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000) 395 #define DFISCCZERO(df) (DFWORD(df, 1)==0 \ 396 && (DFWORD(df, 0)&0x0003ffff)==0) 397 #define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \ 398 && (DFWORD(df, 1)&~0x49124491)==0) 399 #elif DECPMAX==34 400 #define ZEROWORD QUADZERO 401 #define DFISZERO(df) ((DFWORD(df, 3)==0 \ 402 && DFWORD(df, 2)==0 \ 403 && DFWORD(df, 1)==0 \ 404 && (DFWORD(df, 0)&0x1c003fff)==0 \ 405 && (DFWORD(df, 0)&0x60000000)!=0x60000000)) 406 #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000 \ 407 ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000) 408 #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000) 409 #define DFISCCZERO(df) (DFWORD(df, 3)==0 \ 410 && DFWORD(df, 2)==0 \ 411 && DFWORD(df, 1)==0 \ 412 && (DFWORD(df, 0)&0x00003fff)==0) 413 414 #define DFISCC01(df) ((DFWORD(df, 0)&~0xffffc912)==0 \ 415 && (DFWORD(df, 1)&~0x44912449)==0 \ 416 && (DFWORD(df, 2)&~0x12449124)==0 \ 417 && (DFWORD(df, 3)&~0x49124491)==0) 418 #endif 419 420 /* Macros to test if a certain 10 bits of a uInt or pair of uInts */ 421 /* are a canonical declet [higher or lower bits are ignored]. */ 422 /* declet is at offset 0 (from the right) in a uInt: */ 423 #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e) 424 /* declet is at offset k (a multiple of 2) in a uInt: */ 425 #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0 \ 426 || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k))) 427 /* declet is at offset k (a multiple of 2) in a pair of uInts: */ 428 /* [the top 2 bits will always be in the more-significant uInt] */ 429 #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \ 430 || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k))) \ 431 || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k))) 432 433 /* Macro to test whether a full-length (length DECPMAX) BCD8 */ 434 /* coefficient, starting at uByte u, is all zeros */ 435 /* Test just the LSWord first, then the remainder as a sequence */ 436 /* of tests in order to avoid same-level use of UBTOUI */ 437 #if DECPMAX==7 438 #define ISCOEFFZERO(u) ( \ 439 UBTOUI((u)+DECPMAX-4)==0 \ 440 && UBTOUS((u)+DECPMAX-6)==0 \ 441 && *(u)==0) 442 #elif DECPMAX==16 443 #define ISCOEFFZERO(u) ( \ 444 UBTOUI((u)+DECPMAX-4)==0 \ 445 && UBTOUI((u)+DECPMAX-8)==0 \ 446 && UBTOUI((u)+DECPMAX-12)==0 \ 447 && UBTOUI(u)==0) 448 #elif DECPMAX==34 449 #define ISCOEFFZERO(u) ( \ 450 UBTOUI((u)+DECPMAX-4)==0 \ 451 && UBTOUI((u)+DECPMAX-8)==0 \ 452 && UBTOUI((u)+DECPMAX-12)==0 \ 453 && UBTOUI((u)+DECPMAX-16)==0 \ 454 && UBTOUI((u)+DECPMAX-20)==0 \ 455 && UBTOUI((u)+DECPMAX-24)==0 \ 456 && UBTOUI((u)+DECPMAX-28)==0 \ 457 && UBTOUI((u)+DECPMAX-32)==0 \ 458 && UBTOUS(u)==0) 459 #endif 460 461 /* Macros and masks for the exponent continuation field and MSD */ 462 /* Get the exponent continuation from a decFloat *df as an Int */ 463 #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL))) 464 /* Ditto, from the next-wider format */ 465 #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL))) 466 /* Get the biased exponent similarly */ 467 #define GETEXP(df) ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df))) 468 /* Get the unbiased exponent similarly */ 469 #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS) 470 /* Get the MSD similarly (as uInt) */ 471 #define GETMSD(df) (DECCOMBMSD[DFWORD((df), 0)>>26]) 472 473 /* Compile-time computes of the exponent continuation field masks */ 474 /* full exponent continuation field: */ 475 #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL)) 476 /* same, not including its first digit (the qNaN/sNaN selector): */ 477 #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL)) 478 479 /* Macros to decode the coefficient in a finite decFloat *df into */ 480 /* a BCD string (uByte *bcdin) of length DECPMAX uBytes. */ 481 482 /* In-line sequence to convert least significant 10 bits of uInt */ 483 /* dpd to three BCD8 digits starting at uByte u. Note that an */ 484 /* extra byte is written to the right of the three digits because */ 485 /* four bytes are moved at a time for speed; the alternative */ 486 /* macro moves exactly three bytes (usually slower). */ 487 #define dpd2bcd8(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4) 488 #define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3) 489 490 /* Decode the declets. After extracting each one, it is decoded */ 491 /* to BCD8 using a table lookup (also used for variable-length */ 492 /* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */ 493 /* length which is not used, here). Fixed-length 4-byte moves */ 494 /* are fast, however, almost everywhere, and so are used except */ 495 /* for the final three bytes (to avoid overrun). The code below */ 496 /* is 36 instructions for Doubles and about 70 for Quads, even */ 497 /* on IA32. */ 498 499 /* Two macros are defined for each format: */ 500 /* GETCOEFF extracts the coefficient of the current format */ 501 /* GETWCOEFF extracts the coefficient of the next-wider format. */ 502 /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */ 503 504 #if DECPMAX==7 505 #define GETCOEFF(df, bcd) { \ 506 uInt sourhi=DFWORD(df, 0); \ 507 *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ 508 dpd2bcd8(bcd+1, sourhi>>10); \ 509 dpd2bcd83(bcd+4, sourhi);} 510 #define GETWCOEFF(df, bcd) { \ 511 uInt sourhi=DFWWORD(df, 0); \ 512 uInt sourlo=DFWWORD(df, 1); \ 513 *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ 514 dpd2bcd8(bcd+1, sourhi>>8); \ 515 dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \ 516 dpd2bcd8(bcd+7, sourlo>>20); \ 517 dpd2bcd8(bcd+10, sourlo>>10); \ 518 dpd2bcd83(bcd+13, sourlo);} 519 520 #elif DECPMAX==16 521 #define GETCOEFF(df, bcd) { \ 522 uInt sourhi=DFWORD(df, 0); \ 523 uInt sourlo=DFWORD(df, 1); \ 524 *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ 525 dpd2bcd8(bcd+1, sourhi>>8); \ 526 dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \ 527 dpd2bcd8(bcd+7, sourlo>>20); \ 528 dpd2bcd8(bcd+10, sourlo>>10); \ 529 dpd2bcd83(bcd+13, sourlo);} 530 #define GETWCOEFF(df, bcd) { \ 531 uInt sourhi=DFWWORD(df, 0); \ 532 uInt sourmh=DFWWORD(df, 1); \ 533 uInt sourml=DFWWORD(df, 2); \ 534 uInt sourlo=DFWWORD(df, 3); \ 535 *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ 536 dpd2bcd8(bcd+1, sourhi>>4); \ 537 dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \ 538 dpd2bcd8(bcd+7, sourmh>>16); \ 539 dpd2bcd8(bcd+10, sourmh>>6); \ 540 dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \ 541 dpd2bcd8(bcd+16, sourml>>18); \ 542 dpd2bcd8(bcd+19, sourml>>8); \ 543 dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \ 544 dpd2bcd8(bcd+25, sourlo>>20); \ 545 dpd2bcd8(bcd+28, sourlo>>10); \ 546 dpd2bcd83(bcd+31, sourlo);} 547 548 #elif DECPMAX==34 549 #define GETCOEFF(df, bcd) { \ 550 uInt sourhi=DFWORD(df, 0); \ 551 uInt sourmh=DFWORD(df, 1); \ 552 uInt sourml=DFWORD(df, 2); \ 553 uInt sourlo=DFWORD(df, 3); \ 554 *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ 555 dpd2bcd8(bcd+1, sourhi>>4); \ 556 dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \ 557 dpd2bcd8(bcd+7, sourmh>>16); \ 558 dpd2bcd8(bcd+10, sourmh>>6); \ 559 dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \ 560 dpd2bcd8(bcd+16, sourml>>18); \ 561 dpd2bcd8(bcd+19, sourml>>8); \ 562 dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \ 563 dpd2bcd8(bcd+25, sourlo>>20); \ 564 dpd2bcd8(bcd+28, sourlo>>10); \ 565 dpd2bcd83(bcd+31, sourlo);} 566 567 #define GETWCOEFF(df, bcd) {??} /* [should never be used] */ 568 #endif 569 570 /* Macros to decode the coefficient in a finite decFloat *df into */ 571 /* a base-billion uInt array, with the least-significant */ 572 /* 0-999999999 'digit' at offset 0. */ 573 574 /* Decode the declets. After extracting each one, it is decoded */ 575 /* to binary using a table lookup. Three tables are used; one */ 576 /* the usual DPD to binary, the other two pre-multiplied by 1000 */ 577 /* and 1000000 to avoid multiplication during decode. These */ 578 /* tables can also be used for multiplying up the MSD as the DPD */ 579 /* code for 0 through 9 is the identity. */ 580 #define DPD2BIN0 DPD2BIN /* for prettier code */ 581 582 #if DECPMAX==7 583 #define GETCOEFFBILL(df, buf) { \ 584 uInt sourhi=DFWORD(df, 0); \ 585 (buf)[0]=DPD2BIN0[sourhi&0x3ff] \ 586 +DPD2BINK[(sourhi>>10)&0x3ff] \ 587 +DPD2BINM[DECCOMBMSD[sourhi>>26]];} 588 589 #elif DECPMAX==16 590 #define GETCOEFFBILL(df, buf) { \ 591 uInt sourhi, sourlo; \ 592 sourlo=DFWORD(df, 1); \ 593 (buf)[0]=DPD2BIN0[sourlo&0x3ff] \ 594 +DPD2BINK[(sourlo>>10)&0x3ff] \ 595 +DPD2BINM[(sourlo>>20)&0x3ff]; \ 596 sourhi=DFWORD(df, 0); \ 597 (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff] \ 598 +DPD2BINK[(sourhi>>8)&0x3ff] \ 599 +DPD2BINM[DECCOMBMSD[sourhi>>26]];} 600 601 #elif DECPMAX==34 602 #define GETCOEFFBILL(df, buf) { \ 603 uInt sourhi, sourmh, sourml, sourlo; \ 604 sourlo=DFWORD(df, 3); \ 605 (buf)[0]=DPD2BIN0[sourlo&0x3ff] \ 606 +DPD2BINK[(sourlo>>10)&0x3ff] \ 607 +DPD2BINM[(sourlo>>20)&0x3ff]; \ 608 sourml=DFWORD(df, 2); \ 609 (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff] \ 610 +DPD2BINK[(sourml>>8)&0x3ff] \ 611 +DPD2BINM[(sourml>>18)&0x3ff]; \ 612 sourmh=DFWORD(df, 1); \ 613 (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff] \ 614 +DPD2BINK[(sourmh>>6)&0x3ff] \ 615 +DPD2BINM[(sourmh>>16)&0x3ff]; \ 616 sourhi=DFWORD(df, 0); \ 617 (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff] \ 618 +DPD2BINK[(sourhi>>4)&0x3ff] \ 619 +DPD2BINM[DECCOMBMSD[sourhi>>26]];} 620 621 #endif 622 623 /* Macros to decode the coefficient in a finite decFloat *df into */ 624 /* a base-thousand uInt array (of size DECLETS+1, to allow for */ 625 /* the MSD), with the least-significant 0-999 'digit' at offset 0.*/ 626 627 /* Decode the declets. After extracting each one, it is decoded */ 628 /* to binary using a table lookup. */ 629 #if DECPMAX==7 630 #define GETCOEFFTHOU(df, buf) { \ 631 uInt sourhi=DFWORD(df, 0); \ 632 (buf)[0]=DPD2BIN[sourhi&0x3ff]; \ 633 (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff]; \ 634 (buf)[2]=DECCOMBMSD[sourhi>>26];} 635 636 #elif DECPMAX==16 637 #define GETCOEFFTHOU(df, buf) { \ 638 uInt sourhi, sourlo; \ 639 sourlo=DFWORD(df, 1); \ 640 (buf)[0]=DPD2BIN[sourlo&0x3ff]; \ 641 (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \ 642 (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \ 643 sourhi=DFWORD(df, 0); \ 644 (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \ 645 (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff]; \ 646 (buf)[5]=DECCOMBMSD[sourhi>>26];} 647 648 #elif DECPMAX==34 649 #define GETCOEFFTHOU(df, buf) { \ 650 uInt sourhi, sourmh, sourml, sourlo; \ 651 sourlo=DFWORD(df, 3); \ 652 (buf)[0]=DPD2BIN[sourlo&0x3ff]; \ 653 (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \ 654 (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \ 655 sourml=DFWORD(df, 2); \ 656 (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \ 657 (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff]; \ 658 (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff]; \ 659 sourmh=DFWORD(df, 1); \ 660 (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \ 661 (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff]; \ 662 (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff]; \ 663 sourhi=DFWORD(df, 0); \ 664 (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \ 665 (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff]; \ 666 (buf)[11]=DECCOMBMSD[sourhi>>26];} 667 #endif 668 669 670 /* Macros to decode the coefficient in a finite decFloat *df and */ 671 /* add to a base-thousand uInt array (as for GETCOEFFTHOU). */ 672 /* After the addition then most significant 'digit' in the array */ 673 /* might have a value larger then 10 (with a maximum of 19). */ 674 #if DECPMAX==7 675 #define ADDCOEFFTHOU(df, buf) { \ 676 uInt sourhi=DFWORD(df, 0); \ 677 (buf)[0]+=DPD2BIN[sourhi&0x3ff]; \ 678 if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ 679 (buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff]; \ 680 if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ 681 (buf)[2]+=DECCOMBMSD[sourhi>>26];} 682 683 #elif DECPMAX==16 684 #define ADDCOEFFTHOU(df, buf) { \ 685 uInt sourhi, sourlo; \ 686 sourlo=DFWORD(df, 1); \ 687 (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \ 688 if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ 689 (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \ 690 if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ 691 (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \ 692 if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \ 693 sourhi=DFWORD(df, 0); \ 694 (buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \ 695 if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \ 696 (buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff]; \ 697 if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \ 698 (buf)[5]+=DECCOMBMSD[sourhi>>26];} 699 700 #elif DECPMAX==34 701 #define ADDCOEFFTHOU(df, buf) { \ 702 uInt sourhi, sourmh, sourml, sourlo; \ 703 sourlo=DFWORD(df, 3); \ 704 (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \ 705 if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ 706 (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \ 707 if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ 708 (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \ 709 if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \ 710 sourml=DFWORD(df, 2); \ 711 (buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \ 712 if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \ 713 (buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff]; \ 714 if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \ 715 (buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff]; \ 716 if (buf[5]>999) {buf[5]-=1000; buf[6]++;} \ 717 sourmh=DFWORD(df, 1); \ 718 (buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \ 719 if (buf[6]>999) {buf[6]-=1000; buf[7]++;} \ 720 (buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff]; \ 721 if (buf[7]>999) {buf[7]-=1000; buf[8]++;} \ 722 (buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff]; \ 723 if (buf[8]>999) {buf[8]-=1000; buf[9]++;} \ 724 sourhi=DFWORD(df, 0); \ 725 (buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \ 726 if (buf[9]>999) {buf[9]-=1000; buf[10]++;} \ 727 (buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff]; \ 728 if (buf[10]>999) {buf[10]-=1000; buf[11]++;} \ 729 (buf)[11]+=DECCOMBMSD[sourhi>>26];} 730 #endif 731 732 733 /* Set a decFloat to the maximum positive finite number (Nmax) */ 734 #if DECPMAX==7 735 #define DFSETNMAX(df) \ 736 {DFWORD(df, 0)=0x77f3fcff;} 737 #elif DECPMAX==16 738 #define DFSETNMAX(df) \ 739 {DFWORD(df, 0)=0x77fcff3f; \ 740 DFWORD(df, 1)=0xcff3fcff;} 741 #elif DECPMAX==34 742 #define DFSETNMAX(df) \ 743 {DFWORD(df, 0)=0x77ffcff3; \ 744 DFWORD(df, 1)=0xfcff3fcf; \ 745 DFWORD(df, 2)=0xf3fcff3f; \ 746 DFWORD(df, 3)=0xcff3fcff;} 747 #endif 748 749 /* [end of format-dependent macros and constants] */ 750 #endif 751 752#else 753 #error decNumberLocal included more than once 754#endif 755