1 /* Local definitions for the decNumber C Library.
2    Copyright (C) 2007 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 2, or (at your option) any later
10    version.
11 
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.)
20 
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
24    for more details.
25 
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
29    02110-1301, USA.  */
30 
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 /* ------------------------------------------------------------------ */
39 
40 #if !defined(DECNUMBERLOC)
41   #define DECNUMBERLOC
42   #define DECVERSION	"decNumber 3.53" /* Package Version [16 max.] */
43   #define DECNLAUTHOR	"Mike Cowlishaw"	      /* Who to blame */
44 
45   #include <stdlib.h>	      /* for abs			      */
46   #include <string.h>	      /* for memset, strcpy		      */
47   #include "libdecnumber/dconfig.h"
48 
49   /* Conditional code flag -- set this to match hardware platform     */
50   /* 1=little-endian, 0=big-endian	                              */
51   #if WORDS_BIGENDIAN
52   #define DECLITEND 0
53   #else
54   #define DECLITEND 1
55   #endif
56 
57   /* Conditional code flag -- set this to 1 for best performance      */
58   #define DECUSE64  1	      /* 1=use int64s, 0=int32 & smaller only */
59 
60   /* Conditional check flags -- set these to 0 for best performance   */
61   #define DECCHECK  0	      /* 1 to enable robust checking	      */
62   #define DECALLOC  0	      /* 1 to enable memory accounting	      */
63   #define DECTRACE  0	      /* 1 to trace certain internals, etc.   */
64 
65   /* Tuning parameter for decNumber (arbitrary precision) module      */
66   #define DECBUFFER 36	      /* Size basis for local buffers.	This  */
67 			      /* should be a common maximum precision */
68 			      /* rounded up to a multiple of 4; must  */
69 			      /* be zero or positive.		      */
70 
71   /* ---------------------------------------------------------------- */
72   /* Definitions for all modules (general-purpose)		      */
73   /* ---------------------------------------------------------------- */
74 
75   /* Local names for common types -- for safety, decNumber modules do */
76   /* not use int or long directly.				      */
77   #define Flag	 uint8_t
78   #define Byte	 int8_t
79   #define uByte	 uint8_t
80   #define Short	 int16_t
81   #define uShort uint16_t
82   #define Int	 int32_t
83   #define uInt	 uint32_t
84   #define Unit	 decNumberUnit
85   #if DECUSE64
86   #define Long	 int64_t
87   #define uLong	 uint64_t
88   #endif
89 
90   /* Development-use definitions				      */
91   typedef long int LI;	      /* for printf arguments only	      */
92   #define DECNOINT  0	      /* 1 to check no internal use of 'int'  */
93   #if DECNOINT
94     /* if these interfere with your C includes, do not set DECNOINT   */
95     #define  int ?	      /* enable to ensure that plain C 'int'  */
96     #define  long ??	      /* .. or 'long' types are not used      */
97   #endif
98 
99   /* Shared lookup tables					      */
100   extern const uByte  DECSTICKYTAB[10]; /* re-round digits if sticky  */
101   extern const uLong  DECPOWERS[19];    /* powers of ten table        */
102   /* The following are included from decDPD.h			      */
103   extern const uShort DPD2BIN[1024];	/* DPD -> 0-999		      */
104   extern const uShort BIN2DPD[1000];	/* 0-999 -> DPD		      */
105   extern const uInt   DPD2BINK[1024];	/* DPD -> 0-999000	      */
106   extern const uInt   DPD2BINM[1024];	/* DPD -> 0-999000000	      */
107   extern const uByte  DPD2BCD8[4096];	/* DPD -> ddd + len	      */
108   extern const uByte  BIN2BCD8[4000];	/* 0-999 -> ddd + len	      */
109   extern const uShort BCD2DPD[2458];	/* 0-0x999 -> DPD (0x999=2457)*/
110 
111   /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts      */
112   /* (that is, sets w to be the high-order word of the 64-bit result; */
113   /* the low-order word is simply u*v.)				      */
114   /* This version is derived from Knuth via Hacker's Delight;	      */
115   /* it seems to optimize better than some others tried		      */
116   #define LONGMUL32HI(w, u, v) {	     \
117     uInt u0, u1, v0, v1, w0, w1, w2, t;	     \
118     u0=u & 0xffff; u1=u>>16;		     \
119     v0=v & 0xffff; v1=v>>16;		     \
120     w0=u0*v0;				     \
121     t=u1*v0 + (w0>>16);			     \
122     w1=t & 0xffff; w2=t>>16;		     \
123     w1=u0*v1 + w1;			     \
124     (w)=u1*v1 + w2 + (w1>>16);}
125 
126   /* ROUNDUP -- round an integer up to a multiple of n		      */
127   #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
128 
129   /* ROUNDDOWN -- round an integer down to a multiple of n	      */
130   #define ROUNDDOWN(i, n) (((i)/n)*n)
131   #define ROUNDDOWN4(i)	  ((i)&~3)	/* special for n=4	      */
132 
133   /* References to multi-byte sequences under different sizes	      */
134   /* Refer to a uInt from four bytes starting at a char* or uByte*,   */
135   /* etc.							      */
136   #define UINTAT(b)   (*((uInt	 *)(b)))
137   #define USHORTAT(b) (*((uShort *)(b)))
138   #define UBYTEAT(b)  (*((uByte	 *)(b)))
139 
140   /* X10 and X100 -- multiply integer i by 10 or 100		      */
141   /* [shifts are usually faster than multiply; could be conditional]  */
142   #define X10(i)  (((i)<<1)+((i)<<3))
143   #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
144 
145   /* MAXI and MINI -- general max & min (not in ANSI) for integers    */
146   #define MAXI(x,y) ((x)<(y)?(y):(x))
147   #define MINI(x,y) ((x)>(y)?(y):(x))
148 
149   /* Useful constants						      */
150   #define BILLION      1000000000	     /* 10**9		      */
151   /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC	      */
152   #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
153 
154 
155   /* ---------------------------------------------------------------- */
156   /* Definitions for arbitrary-precision modules (only valid after    */
157   /* decNumber.h has been included)				      */
158   /* ---------------------------------------------------------------- */
159 
160   /* Limits and constants					      */
161   #define DECNUMMAXP 999999999	/* maximum precision code can handle  */
162   #define DECNUMMAXE 999999999	/* maximum adjusted exponent ditto    */
163   #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto    */
164   #if (DECNUMMAXP != DEC_MAX_DIGITS)
165     #error Maximum digits mismatch
166   #endif
167   #if (DECNUMMAXE != DEC_MAX_EMAX)
168     #error Maximum exponent mismatch
169   #endif
170   #if (DECNUMMINE != DEC_MIN_EMIN)
171     #error Minimum exponent mismatch
172   #endif
173 
174   /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN	      */
175   /* digits, and D2UTABLE -- the initializer for the D2U table	      */
176   #if	DECDPUN==1
177     #define DECDPUNMAX 9
178     #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,  \
179 		      18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
180 		      33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
181 		      48,49}
182   #elif DECDPUN==2
183     #define DECDPUNMAX 99
184     #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,  \
185 		      11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
186 		      18,19,19,20,20,21,21,22,22,23,23,24,24,25}
187   #elif DECDPUN==3
188     #define DECDPUNMAX 999
189     #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,  \
190 		      8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
191 		      13,14,14,14,15,15,15,16,16,16,17}
192   #elif DECDPUN==4
193     #define DECDPUNMAX 9999
194     #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,  \
195 		      6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
196 		      11,11,11,12,12,12,12,13}
197   #elif DECDPUN==5
198     #define DECDPUNMAX 99999
199     #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,  \
200 		      5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,  \
201 		      9,9,10,10,10,10}
202   #elif DECDPUN==6
203     #define DECDPUNMAX 999999
204     #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,  \
205 		      4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,  \
206 		      8,8,8,8,8,9}
207   #elif DECDPUN==7
208     #define DECDPUNMAX 9999999
209     #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,  \
210 		      4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,  \
211 		      7,7,7,7,7,7}
212   #elif DECDPUN==8
213     #define DECDPUNMAX 99999999
214     #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,  \
215 		      3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,  \
216 		      6,6,6,6,6,7}
217   #elif DECDPUN==9
218     #define DECDPUNMAX 999999999
219     #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,  \
220 		      3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,  \
221 		      5,5,6,6,6,6}
222   #elif defined(DECDPUN)
223     #error DECDPUN must be in the range 1-9
224   #endif
225 
226   /* ----- Shared data (in decNumber.c) ----- */
227   /* Public lookup table used by the D2U macro (see below)	      */
228   #define DECMAXD2U 49
229   extern const uByte d2utable[DECMAXD2U+1];
230 
231   /* ----- Macros ----- */
232   /* ISZERO -- return true if decNumber dn is a zero		      */
233   /* [performance-critical in some situations]			      */
234   #define ISZERO(dn) decNumberIsZero(dn)     /* now just a local name */
235 
236   /* D2U -- return the number of Units needed to hold d digits	      */
237   /* (runtime version, with table lookaside for small d)	      */
238   #if DECDPUN==8
239     #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
240   #elif DECDPUN==4
241     #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
242   #else
243     #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
244   #endif
245   /* SD2U -- static D2U macro (for compile-time calculation)	      */
246   #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
247 
248   /* MSUDIGITS -- returns digits in msu, from digits, calculated      */
249   /* using D2U							      */
250   #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
251 
252   /* D2N -- return the number of decNumber structs that would be      */
253   /* needed to contain that number of digits (and the initial	      */
254   /* decNumber struct) safely.	Note that one Unit is included in the */
255   /* initial structure.	 Used for allocating space that is aligned on */
256   /* a decNumber struct boundary. */
257   #define D2N(d) \
258     ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
259 
260   /* TODIGIT -- macro to remove the leading digit from the unsigned   */
261   /* integer u at column cut (counting from the right, LSD=0) and     */
262   /* place it as an ASCII character into the character pointed to by  */
263   /* c.	 Note that cut must be <= 9, and the maximum value for u is   */
264   /* 2,000,000,000 (as is needed for negative exponents of	      */
265   /* subnormals).  The unsigned integer pow is used as a temporary    */
266   /* variable. */
267   #define TODIGIT(u, cut, c, pow) {	  \
268     *(c)='0';				  \
269     pow=DECPOWERS[cut]*2;		  \
270     if ((u)>pow) {			  \
271       pow*=4;				  \
272       if ((u)>=pow) {(u)-=pow; *(c)+=8;}  \
273       pow/=2;				  \
274       if ((u)>=pow) {(u)-=pow; *(c)+=4;}  \
275       pow/=2;				  \
276       }					  \
277     if ((u)>=pow) {(u)-=pow; *(c)+=2;}	  \
278     pow/=2;				  \
279     if ((u)>=pow) {(u)-=pow; *(c)+=1;}	  \
280     }
281 
282   /* ---------------------------------------------------------------- */
283   /* Definitions for fixed-precision modules (only valid after	      */
284   /* decSingle.h, decDouble.h, or decQuad.h has been included)	      */
285   /* ---------------------------------------------------------------- */
286 
287   /* bcdnum -- a structure describing a format-independent finite     */
288   /* number, whose coefficient is a string of bcd8 uBytes	      */
289   typedef struct {
290     uByte   *msd;	      /* -> most significant digit	      */
291     uByte   *lsd;	      /* -> least ditto			      */
292     uInt     sign;	      /* 0=positive, DECFLOAT_Sign=negative   */
293     Int	     exponent;	      /* Unadjusted signed exponent (q), or   */
294 			      /* DECFLOAT_NaN etc. for a special      */
295     } bcdnum;
296 
297   /* Test if exponent or bcdnum exponent must be a special, etc.      */
298   #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
299   #define EXPISINF(exp) (exp==DECFLOAT_Inf)
300   #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
301   #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
302 
303   /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian  */
304   /* (array) notation (the 0 word or byte contains the sign bit),     */
305   /* automatically adjusting for endianness; similarly address a word */
306   /* in the next-wider format (decFloatWider, or dfw)		      */
307   #define DECWORDS  (DECBYTES/4)
308   #define DECWWORDS (DECWBYTES/4)
309   #if DECLITEND
310     #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
311     #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
312     #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
313   #else
314     #define DFWORD(df, off) ((df)->words[off])
315     #define DFBYTE(df, off) ((df)->bytes[off])
316     #define DFWWORD(dfw, off) ((dfw)->words[off])
317   #endif
318 
319   /* Tests for sign or specials, directly on DECFLOATs		      */
320   #define DFISSIGNED(df)   (DFWORD(df, 0)&0x80000000)
321   #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
322   #define DFISINF(df)	  ((DFWORD(df, 0)&0x7c000000)==0x78000000)
323   #define DFISNAN(df)	  ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
324   #define DFISQNAN(df)	  ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
325   #define DFISSNAN(df)	  ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
326 
327   /* Shared lookup tables					      */
328   extern const uInt   DECCOMBMSD[64];	/* Combination field -> MSD   */
329   extern const uInt   DECCOMBFROM[48];	/* exp+msd -> Combination     */
330 
331   /* Private generic (utility) routine				      */
332   #if DECCHECK || DECTRACE
333     extern void decShowNum(const bcdnum *, const char *);
334   #endif
335 
336   /* Format-dependent macros and constants			      */
337   #if defined(DECPMAX)
338 
339     /* Useful constants						      */
340     #define DECPMAX9  (ROUNDUP(DECPMAX, 9)/9)  /* 'Pmax' in 10**9s    */
341     /* Top words for a zero					      */
342     #define SINGLEZERO	 0x22500000
343     #define DOUBLEZERO	 0x22380000
344     #define QUADZERO	 0x22080000
345     /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
346 
347     /* Format-dependent common tests:				      */
348     /*	 DFISZERO   -- test for (any) zero			      */
349     /*	 DFISCCZERO -- test for coefficient continuation being zero   */
350     /*	 DFISCC01   -- test for coefficient contains only 0s and 1s   */
351     /*	 DFISINT    -- test for finite and exponent q=0		      */
352     /*	 DFISUINT01 -- test for sign=0, finite, exponent q=0, and     */
353     /*		       MSD=0 or 1				      */
354     /*	 ZEROWORD is also defined here.				      */
355     /* In DFISZERO the first test checks the least-significant word   */
356     /* (most likely to be non-zero); the penultimate tests MSD and    */
357     /* DPDs in the signword, and the final test excludes specials and */
358     /* MSD>7.  DFISINT similarly has to allow for the two forms of    */
359     /* MSD codes.  DFISUINT01 only has to allow for one form of MSD   */
360     /* code.							      */
361     #if DECPMAX==7
362       #define ZEROWORD SINGLEZERO
363       /* [test macros not needed except for Zero]		      */
364       #define DFISZERO(df)  ((DFWORD(df, 0)&0x1c0fffff)==0	   \
365 			  && (DFWORD(df, 0)&0x60000000)!=0x60000000)
366     #elif DECPMAX==16
367       #define ZEROWORD DOUBLEZERO
368       #define DFISZERO(df)  ((DFWORD(df, 1)==0			   \
369 			  && (DFWORD(df, 0)&0x1c03ffff)==0	   \
370 			  && (DFWORD(df, 0)&0x60000000)!=0x60000000))
371       #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000  \
372 			 ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
373       #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
374       #define DFISCCZERO(df) (DFWORD(df, 1)==0			   \
375 			  && (DFWORD(df, 0)&0x0003ffff)==0)
376       #define DFISCC01(df)  ((DFWORD(df, 0)&~0xfffc9124)==0	   \
377 			  && (DFWORD(df, 1)&~0x49124491)==0)
378     #elif DECPMAX==34
379       #define ZEROWORD QUADZERO
380       #define DFISZERO(df)  ((DFWORD(df, 3)==0			   \
381 			  &&  DFWORD(df, 2)==0			   \
382 			  &&  DFWORD(df, 1)==0			   \
383 			  && (DFWORD(df, 0)&0x1c003fff)==0	   \
384 			  && (DFWORD(df, 0)&0x60000000)!=0x60000000))
385       #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000  \
386 			 ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
387       #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
388       #define DFISCCZERO(df) (DFWORD(df, 3)==0			   \
389 			  &&  DFWORD(df, 2)==0			   \
390 			  &&  DFWORD(df, 1)==0			   \
391 			  && (DFWORD(df, 0)&0x00003fff)==0)
392 
393       #define DFISCC01(df)   ((DFWORD(df, 0)&~0xffffc912)==0	   \
394 			  &&  (DFWORD(df, 1)&~0x44912449)==0	   \
395 			  &&  (DFWORD(df, 2)&~0x12449124)==0	   \
396 			  &&  (DFWORD(df, 3)&~0x49124491)==0)
397     #endif
398 
399     /* Macros to test if a certain 10 bits of a uInt or pair of uInts */
400     /* are a canonical declet [higher or lower bits are ignored].     */
401     /* declet is at offset 0 (from the right) in a uInt:	      */
402     #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
403     /* declet is at offset k (a multiple of 2) in a uInt:	      */
404     #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0	    \
405       || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
406     /* declet is at offset k (a multiple of 2) in a pair of uInts:    */
407     /* [the top 2 bits will always be in the more-significant uInt]   */
408     #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0	    \
409       || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k)))		    \
410       || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
411 
412     /* Macro to test whether a full-length (length DECPMAX) BCD8      */
413     /* coefficient is zero					      */
414     /* test just the LSWord first, then the remainder		      */
415     #if DECPMAX==7
416       #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0		    \
417 	&& UINTAT((u)+DECPMAX-7)==0)
418     #elif DECPMAX==16
419       #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0		    \
420 	&& (UINTAT((u)+DECPMAX-8)+UINTAT((u)+DECPMAX-12)	    \
421 	   +UINTAT((u)+DECPMAX-16))==0)
422     #elif DECPMAX==34
423       #define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0		    \
424 	&& (UINTAT((u)+DECPMAX-8) +UINTAT((u)+DECPMAX-12)	    \
425 	   +UINTAT((u)+DECPMAX-16)+UINTAT((u)+DECPMAX-20)	    \
426 	   +UINTAT((u)+DECPMAX-24)+UINTAT((u)+DECPMAX-28)	    \
427 	   +UINTAT((u)+DECPMAX-32)+USHORTAT((u)+DECPMAX-34))==0)
428     #endif
429 
430     /* Macros and masks for the exponent continuation field and MSD   */
431     /* Get the exponent continuation from a decFloat *df as an Int    */
432     #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
433     /* Ditto, from the next-wider format			      */
434     #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
435     /* Get the biased exponent similarly			      */
436     #define GETEXP(df)	((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
437     /* Get the unbiased exponent similarly			      */
438     #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
439     /* Get the MSD similarly (as uInt)				      */
440     #define GETMSD(df)	 (DECCOMBMSD[DFWORD((df), 0)>>26])
441 
442     /* Compile-time computes of the exponent continuation field masks */
443     /* full exponent continuation field:			      */
444     #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
445     /* same, not including its first digit (the qNaN/sNaN selector):  */
446     #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
447 
448     /* Macros to decode the coefficient in a finite decFloat *df into */
449     /* a BCD string (uByte *bcdin) of length DECPMAX uBytes	      */
450 
451     /* In-line sequence to convert 10 bits at right end of uInt dpd   */
452     /* to three BCD8 digits starting at uByte u.  Note that an extra  */
453     /* byte is written to the right of the three digits because this  */
454     /* moves four at a time for speed; the alternative macro moves    */
455     /* exactly three bytes					      */
456     #define dpd2bcd8(u, dpd) {				 \
457       UINTAT(u)=UINTAT(&DPD2BCD8[((dpd)&0x3ff)*4]);}
458 
459     #define dpd2bcd83(u, dpd) {				 \
460       *(u)=DPD2BCD8[((dpd)&0x3ff)*4];			 \
461       *(u+1)=DPD2BCD8[((dpd)&0x3ff)*4+1];		 \
462       *(u+2)=DPD2BCD8[((dpd)&0x3ff)*4+2];}
463 
464     /* Decode the declets.  After extracting each one, it is decoded  */
465     /* to BCD8 using a table lookup (also used for variable-length    */
466     /* decode).	 Each DPD decode is 3 bytes BCD8 plus a one-byte      */
467     /* length which is not used, here).	 Fixed-length 4-byte moves    */
468     /* are fast, however, almost everywhere, and so are used except   */
469     /* for the final three bytes (to avoid overrun).  The code below  */
470     /* is 36 instructions for Doubles and about 70 for Quads, even    */
471     /* on IA32.							      */
472 
473     /* Two macros are defined for each format:			      */
474     /*	 GETCOEFF extracts the coefficient of the current format      */
475     /*	 GETWCOEFF extracts the coefficient of the next-wider format. */
476     /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
477 
478     #if DECPMAX==7
479     #define GETCOEFF(df, bcd) {				 \
480       uInt sourhi=DFWORD(df, 0);			 \
481       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];		 \
482       dpd2bcd8(bcd+1, sourhi>>10);			 \
483       dpd2bcd83(bcd+4, sourhi);}
484     #define GETWCOEFF(df, bcd) {			 \
485       uInt sourhi=DFWWORD(df, 0);			 \
486       uInt sourlo=DFWWORD(df, 1);			 \
487       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];		 \
488       dpd2bcd8(bcd+1, sourhi>>8);			 \
489       dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));	 \
490       dpd2bcd8(bcd+7, sourlo>>20);			 \
491       dpd2bcd8(bcd+10, sourlo>>10);			 \
492       dpd2bcd83(bcd+13, sourlo);}
493 
494     #elif DECPMAX==16
495     #define GETCOEFF(df, bcd) {				 \
496       uInt sourhi=DFWORD(df, 0);			 \
497       uInt sourlo=DFWORD(df, 1);			 \
498       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];		 \
499       dpd2bcd8(bcd+1, sourhi>>8);			 \
500       dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30));	 \
501       dpd2bcd8(bcd+7, sourlo>>20);			 \
502       dpd2bcd8(bcd+10, sourlo>>10);			 \
503       dpd2bcd83(bcd+13, sourlo);}
504     #define GETWCOEFF(df, bcd) {			 \
505       uInt sourhi=DFWWORD(df, 0);			 \
506       uInt sourmh=DFWWORD(df, 1);			 \
507       uInt sourml=DFWWORD(df, 2);			 \
508       uInt sourlo=DFWWORD(df, 3);			 \
509       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];		 \
510       dpd2bcd8(bcd+1, sourhi>>4);			 \
511       dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));	 \
512       dpd2bcd8(bcd+7, sourmh>>16);			 \
513       dpd2bcd8(bcd+10, sourmh>>6);			 \
514       dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));	 \
515       dpd2bcd8(bcd+16, sourml>>18);			 \
516       dpd2bcd8(bcd+19, sourml>>8);			 \
517       dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));	 \
518       dpd2bcd8(bcd+25, sourlo>>20);			 \
519       dpd2bcd8(bcd+28, sourlo>>10);			 \
520       dpd2bcd83(bcd+31, sourlo);}
521 
522     #elif DECPMAX==34
523     #define GETCOEFF(df, bcd) {				 \
524       uInt sourhi=DFWORD(df, 0);			 \
525       uInt sourmh=DFWORD(df, 1);			 \
526       uInt sourml=DFWORD(df, 2);			 \
527       uInt sourlo=DFWORD(df, 3);			 \
528       *(bcd)=(uByte)DECCOMBMSD[sourhi>>26];		 \
529       dpd2bcd8(bcd+1, sourhi>>4);			 \
530       dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26));	 \
531       dpd2bcd8(bcd+7, sourmh>>16);			 \
532       dpd2bcd8(bcd+10, sourmh>>6);			 \
533       dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28));	 \
534       dpd2bcd8(bcd+16, sourml>>18);			 \
535       dpd2bcd8(bcd+19, sourml>>8);			 \
536       dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30));	 \
537       dpd2bcd8(bcd+25, sourlo>>20);			 \
538       dpd2bcd8(bcd+28, sourlo>>10);			 \
539       dpd2bcd83(bcd+31, sourlo);}
540 
541       #define GETWCOEFF(df, bcd) {??} /* [should never be used]	      */
542     #endif
543 
544     /* Macros to decode the coefficient in a finite decFloat *df into */
545     /* a base-billion uInt array, with the least-significant	      */
546     /* 0-999999999 'digit' at offset 0.				      */
547 
548     /* Decode the declets.  After extracting each one, it is decoded  */
549     /* to binary using a table lookup.	Three tables are used; one    */
550     /* the usual DPD to binary, the other two pre-multiplied by 1000  */
551     /* and 1000000 to avoid multiplication during decode.  These      */
552     /* tables can also be used for multiplying up the MSD as the DPD  */
553     /* code for 0 through 9 is the identity.			      */
554     #define DPD2BIN0 DPD2BIN	     /* for prettier code	      */
555 
556     #if DECPMAX==7
557     #define GETCOEFFBILL(df, buf) {			      \
558       uInt sourhi=DFWORD(df, 0);			      \
559       (buf)[0]=DPD2BIN0[sourhi&0x3ff]			      \
560 	      +DPD2BINK[(sourhi>>10)&0x3ff]		      \
561 	      +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
562 
563     #elif DECPMAX==16
564     #define GETCOEFFBILL(df, buf) {			      \
565       uInt sourhi, sourlo;				      \
566       sourlo=DFWORD(df, 1);				      \
567       (buf)[0]=DPD2BIN0[sourlo&0x3ff]			      \
568 	      +DPD2BINK[(sourlo>>10)&0x3ff]		      \
569 	      +DPD2BINM[(sourlo>>20)&0x3ff];		      \
570       sourhi=DFWORD(df, 0);				      \
571       (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff]   \
572 	      +DPD2BINK[(sourhi>>8)&0x3ff]		      \
573 	      +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
574 
575     #elif DECPMAX==34
576     #define GETCOEFFBILL(df, buf) {			      \
577       uInt sourhi, sourmh, sourml, sourlo;		      \
578       sourlo=DFWORD(df, 3);				      \
579       (buf)[0]=DPD2BIN0[sourlo&0x3ff]			      \
580 	      +DPD2BINK[(sourlo>>10)&0x3ff]		      \
581 	      +DPD2BINM[(sourlo>>20)&0x3ff];		      \
582       sourml=DFWORD(df, 2);				      \
583       (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff]   \
584 	      +DPD2BINK[(sourml>>8)&0x3ff]		      \
585 	      +DPD2BINM[(sourml>>18)&0x3ff];		      \
586       sourmh=DFWORD(df, 1);				      \
587       (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff]   \
588 	      +DPD2BINK[(sourmh>>6)&0x3ff]		      \
589 	      +DPD2BINM[(sourmh>>16)&0x3ff];		      \
590       sourhi=DFWORD(df, 0);				      \
591       (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff]   \
592 	      +DPD2BINK[(sourhi>>4)&0x3ff]		      \
593 	      +DPD2BINM[DECCOMBMSD[sourhi>>26]];}
594 
595     #endif
596 
597     /* Macros to decode the coefficient in a finite decFloat *df into */
598     /* a base-thousand uInt array, with the least-significant 0-999   */
599     /* 'digit' at offset 0.					      */
600 
601     /* Decode the declets.  After extracting each one, it is decoded  */
602     /* to binary using a table lookup.				      */
603     #if DECPMAX==7
604     #define GETCOEFFTHOU(df, buf) {			      \
605       uInt sourhi=DFWORD(df, 0);			      \
606       (buf)[0]=DPD2BIN[sourhi&0x3ff];			      \
607       (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff];		      \
608       (buf)[2]=DECCOMBMSD[sourhi>>26];}
609 
610     #elif DECPMAX==16
611     #define GETCOEFFTHOU(df, buf) {			      \
612       uInt sourhi, sourlo;				      \
613       sourlo=DFWORD(df, 1);				      \
614       (buf)[0]=DPD2BIN[sourlo&0x3ff];			      \
615       (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];		      \
616       (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];		      \
617       sourhi=DFWORD(df, 0);				      \
618       (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff];   \
619       (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff];		      \
620       (buf)[5]=DECCOMBMSD[sourhi>>26];}
621 
622     #elif DECPMAX==34
623     #define GETCOEFFTHOU(df, buf) {			      \
624       uInt sourhi, sourmh, sourml, sourlo;		      \
625       sourlo=DFWORD(df, 3);				      \
626       (buf)[0]=DPD2BIN[sourlo&0x3ff];			      \
627       (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff];		      \
628       (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff];		      \
629       sourml=DFWORD(df, 2);				      \
630       (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff];   \
631       (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff];		      \
632       (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff];		      \
633       sourmh=DFWORD(df, 1);				      \
634       (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff];   \
635       (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff];		      \
636       (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff];		      \
637       sourhi=DFWORD(df, 0);				      \
638       (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff];   \
639       (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff];		      \
640       (buf)[11]=DECCOMBMSD[sourhi>>26];}
641 
642     #endif
643 
644     /* Set a decFloat to the maximum positive finite number (Nmax)    */
645     #if DECPMAX==7
646     #define DFSETNMAX(df)	     \
647       {DFWORD(df, 0)=0x77f3fcff;}
648     #elif DECPMAX==16
649     #define DFSETNMAX(df)	     \
650       {DFWORD(df, 0)=0x77fcff3f;     \
651        DFWORD(df, 1)=0xcff3fcff;}
652     #elif DECPMAX==34
653     #define DFSETNMAX(df)	     \
654       {DFWORD(df, 0)=0x77ffcff3;     \
655        DFWORD(df, 1)=0xfcff3fcf;     \
656        DFWORD(df, 2)=0xf3fcff3f;     \
657        DFWORD(df, 3)=0xcff3fcff;}
658     #endif
659 
660   /* [end of format-dependent macros and constants]		      */
661   #endif
662 
663 #else
664   #error decNumberLocal included more than once
665 #endif
666