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