Mercurial > hg > CbC > CbC_gcc
annotate libdecnumber/decNumberLocal.h @ 111:04ced10e8804
gcc 7
author | kono |
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date | Fri, 27 Oct 2017 22:46:09 +0900 |
parents | 77e2b8dfacca |
children | 84e7813d76e9 |
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0 | 1 /* Local definitions for the decNumber C Library. |
111 | 2 Copyright (C) 2007-2017 Free Software Foundation, Inc. |
0 | 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 | |
17 Under Section 7 of GPL version 3, you are granted additional | |
18 permissions described in the GCC Runtime Library Exception, version | |
19 3.1, as published by the Free Software Foundation. | |
20 | |
21 You should have received a copy of the GNU General Public License and | |
22 a copy of the GCC Runtime Library Exception along with this program; | |
23 see 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 /* ------------------------------------------------------------------ */ | |
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29 /* This header file is included by all modules in the decNumber */ |
0 | 30 /* library, and contains local type definitions, tuning parameters, */ |
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31 /* etc. It should not need to be used by application programs. */ |
0 | 32 /* decNumber.h or one of decDouble (etc.) must be included first. */ |
33 /* ------------------------------------------------------------------ */ | |
34 | |
35 #if !defined(DECNUMBERLOC) | |
36 #define DECNUMBERLOC | |
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37 #define DECVERSION "decNumber 3.61" /* Package Version [16 max.] */ |
0 | 38 #define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */ |
39 | |
40 #include <stdlib.h> /* for abs */ | |
41 #include <string.h> /* for memset, strcpy */ | |
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42 #include "dconfig.h" /* for WORDS_BIGENDIAN */ |
0 | 43 |
44 /* Conditional code flag -- set this to match hardware platform */ | |
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45 /* 1=little-endian, 0=big-endian */ |
0 | 46 #if WORDS_BIGENDIAN |
47 #define DECLITEND 0 | |
48 #else | |
49 #define DECLITEND 1 | |
50 #endif | |
51 | |
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52 #if !defined(DECLITEND) |
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53 #define DECLITEND 1 /* 1=little-endian, 0=big-endian */ |
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54 #endif |
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55 |
0 | 56 /* Conditional code flag -- set this to 1 for best performance */ |
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57 #if !defined(DECUSE64) |
0 | 58 #define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */ |
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59 #endif |
0 | 60 |
61 /* Conditional check flags -- set these to 0 for best performance */ | |
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62 #if !defined(DECCHECK) |
0 | 63 #define DECCHECK 0 /* 1 to enable robust checking */ |
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64 #endif |
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65 #if !defined(DECALLOC) |
0 | 66 #define DECALLOC 0 /* 1 to enable memory accounting */ |
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67 #endif |
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68 #if !defined(DECTRACE) |
0 | 69 #define DECTRACE 0 /* 1 to trace certain internals, etc. */ |
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70 #endif |
0 | 71 |
72 /* Tuning parameter for decNumber (arbitrary precision) module */ | |
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73 #if !defined(DECBUFFER) |
0 | 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. */ | |
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78 #endif |
0 | 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 | |
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88 #define uByte uint8_t |
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89 #define Short int16_t |
0 | 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 | |
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96 #define uLong uint64_t |
0 | 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' */ | |
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102 /* or stdint types */ |
0 | 103 #if DECNOINT |
104 /* if these interfere with your C includes, do not set DECNOINT */ | |
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105 #define int ? /* enable to ensure that plain C 'int' */ |
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106 #define long ?? /* .. or 'long' types are not used */ |
0 | 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 */ | |
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113 #include "decDPDSymbols.h" |
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114 extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */ |
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115 extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */ |
0 | 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; */ | |
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124 /* the low-order word is simply u*v.) */ |
0 | 125 /* This version is derived from Knuth via Hacker's Delight; */ |
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126 /* it seems to optimize better than some others tried */ |
0 | 127 #define LONGMUL32HI(w, u, v) { \ |
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128 uInt u0, u1, v0, v1, w0, w1, w2, t; \ |
0 | 129 u0=u & 0xffff; u1=u>>16; \ |
130 v0=v & 0xffff; v1=v>>16; \ | |
131 w0=u0*v0; \ | |
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132 t=u1*v0 + (w0>>16); \ |
0 | 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) | |
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139 #define ROUNDUP4(i) (((i)+3)&~3) /* special for n=4 */ |
0 | 140 |
141 /* ROUNDDOWN -- round an integer down to a multiple of n */ | |
142 #define ROUNDDOWN(i, n) (((i)/n)*n) | |
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143 #define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */ |
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144 |
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145 /* References to multi-byte sequences under different sizes; these */ |
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146 /* require locally declared variables, but do not violate strict */ |
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147 /* aliasing or alignment (as did the UINTAT simple cast to uInt). */ |
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148 /* Variables needed are uswork, uiwork, etc. [so do not use at same */ |
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149 /* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail]. */ |
0 | 150 |
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151 /* Return a uInt, etc., from bytes starting at a char* or uByte* */ |
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152 #define UBTOUS(b) (memcpy((void *)&uswork, b, 2), uswork) |
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153 #define UBTOUI(b) (memcpy((void *)&uiwork, b, 4), uiwork) |
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154 |
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155 /* Store a uInt, etc., into bytes starting at a char* or uByte*. */ |
111 | 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)) | |
0 | 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 */ | |
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171 /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */ |
0 | 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 | |
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194 /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */ |
0 | 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 */ | |
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275 /* initial structure. Used for allocating space that is aligned on */ |
0 | 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 */ | |
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283 /* c. Note that cut must be <= 9, and the maximum value for u is */ |
0 | 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; \ | |
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296 } \ |
0 | 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 */ | |
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311 uByte *lsd; /* -> least ditto */ |
0 | 312 uInt sign; /* 0=positive, DECFLOAT_Sign=negative */ |
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313 Int exponent; /* Unadjusted signed exponent (q), or */ |
0 | 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 | |
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330 #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)]) |
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331 #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)]) |
0 | 332 #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)]) |
333 #else | |
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334 #define DFBYTE(df, off) ((df)->bytes[off]) |
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335 #define DFWORD(df, off) ((df)->words[off]) |
0 | 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 | |
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360 /* Useful constants */ |
0 | 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 */ | |
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372 /* DFISINT -- test for finite and exponent q=0 */ |
0 | 373 /* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */ |
374 /* MSD=0 or 1 */ | |
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375 /* ZEROWORD is also defined here. */ |
0 | 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] */ | |
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429 #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \ |
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 */ | |
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434 /* coefficient, starting at uByte u, is all zeros */ |
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435 /* Test just the LSWord first, then the remainder as a sequence */ |
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436 /* of tests in order to avoid same-level use of UBTOUI */ |
0 | 437 #if DECPMAX==7 |
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438 #define ISCOEFFZERO(u) ( \ |
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439 UBTOUI((u)+DECPMAX-4)==0 \ |
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440 && UBTOUS((u)+DECPMAX-6)==0 \ |
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441 && *(u)==0) |
0 | 442 #elif DECPMAX==16 |
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443 #define ISCOEFFZERO(u) ( \ |
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444 UBTOUI((u)+DECPMAX-4)==0 \ |
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445 && UBTOUI((u)+DECPMAX-8)==0 \ |
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446 && UBTOUI((u)+DECPMAX-12)==0 \ |
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447 && UBTOUI(u)==0) |
0 | 448 #elif DECPMAX==34 |
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449 #define ISCOEFFZERO(u) ( \ |
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450 UBTOUI((u)+DECPMAX-4)==0 \ |
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451 && UBTOUI((u)+DECPMAX-8)==0 \ |
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452 && UBTOUI((u)+DECPMAX-12)==0 \ |
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453 && UBTOUI((u)+DECPMAX-16)==0 \ |
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454 && UBTOUI((u)+DECPMAX-20)==0 \ |
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455 && UBTOUI((u)+DECPMAX-24)==0 \ |
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456 && UBTOUI((u)+DECPMAX-28)==0 \ |
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457 && UBTOUI((u)+DECPMAX-32)==0 \ |
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458 && UBTOUS(u)==0) |
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 */ | |
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480 /* a BCD string (uByte *bcdin) of length DECPMAX uBytes. */ |
0 | 481 |
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482 /* In-line sequence to convert least significant 10 bits of uInt */ |
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483 /* dpd to three BCD8 digits starting at uByte u. Note that an */ |
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484 /* extra byte is written to the right of the three digits because */ |
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485 /* four bytes are moved at a time for speed; the alternative */ |
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486 /* macro moves exactly three bytes (usually slower). */ |
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487 #define dpd2bcd8(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4) |
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488 #define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3) |
0 | 489 |
490 /* Decode the declets. After extracting each one, it is decoded */ | |
491 /* to BCD8 using a table lookup (also used for variable-length */ | |
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492 /* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */ |
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493 /* length which is not used, here). Fixed-length 4-byte moves */ |
0 | 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 */ | |
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497 /* on IA32. */ |
0 | 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 | |
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505 #define GETCOEFF(df, bcd) { \ |
0 | 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 | |
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521 #define GETCOEFF(df, bcd) { \ |
0 | 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 | |
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549 #define GETCOEFF(df, bcd) { \ |
0 | 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 | |
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567 #define GETWCOEFF(df, bcd) {??} /* [should never be used] */ |
0 | 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 */ | |
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572 /* 0-999999999 'digit' at offset 0. */ |
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 */ | |
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624 /* a base-thousand uInt array (of size DECLETS+1, to allow for */ |
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625 /* the MSD), with the least-significant 0-999 'digit' at offset 0.*/ |
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];} | |
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667 #endif |
0 | 668 |
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669 |
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670 /* Macros to decode the coefficient in a finite decFloat *df and */ |
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671 /* add to a base-thousand uInt array (as for GETCOEFFTHOU). */ |
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672 /* After the addition then most significant 'digit' in the array */ |
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673 /* might have a value larger then 10 (with a maximum of 19). */ |
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674 #if DECPMAX==7 |
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675 #define ADDCOEFFTHOU(df, buf) { \ |
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676 uInt sourhi=DFWORD(df, 0); \ |
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677 (buf)[0]+=DPD2BIN[sourhi&0x3ff]; \ |
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678 if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ |
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679 (buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff]; \ |
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680 if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ |
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681 (buf)[2]+=DECCOMBMSD[sourhi>>26];} |
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682 |
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683 #elif DECPMAX==16 |
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684 #define ADDCOEFFTHOU(df, buf) { \ |
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685 uInt sourhi, sourlo; \ |
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686 sourlo=DFWORD(df, 1); \ |
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687 (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \ |
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688 if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ |
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689 (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \ |
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690 if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ |
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691 (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \ |
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692 if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \ |
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693 sourhi=DFWORD(df, 0); \ |
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694 (buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \ |
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695 if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \ |
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696 (buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff]; \ |
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697 if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \ |
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698 (buf)[5]+=DECCOMBMSD[sourhi>>26];} |
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699 |
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700 #elif DECPMAX==34 |
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701 #define ADDCOEFFTHOU(df, buf) { \ |
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702 uInt sourhi, sourmh, sourml, sourlo; \ |
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703 sourlo=DFWORD(df, 3); \ |
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704 (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \ |
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705 if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ |
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706 (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \ |
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707 if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ |
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708 (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \ |
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709 if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \ |
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710 sourml=DFWORD(df, 2); \ |
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711 (buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \ |
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712 if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \ |
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713 (buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff]; \ |
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714 if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \ |
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715 (buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff]; \ |
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716 if (buf[5]>999) {buf[5]-=1000; buf[6]++;} \ |
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717 sourmh=DFWORD(df, 1); \ |
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718 (buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \ |
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719 if (buf[6]>999) {buf[6]-=1000; buf[7]++;} \ |
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720 (buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff]; \ |
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721 if (buf[7]>999) {buf[7]-=1000; buf[8]++;} \ |
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722 (buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff]; \ |
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723 if (buf[8]>999) {buf[8]-=1000; buf[9]++;} \ |
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724 sourhi=DFWORD(df, 0); \ |
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725 (buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \ |
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726 if (buf[9]>999) {buf[9]-=1000; buf[10]++;} \ |
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727 (buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff]; \ |
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728 if (buf[10]>999) {buf[10]-=1000; buf[11]++;} \ |
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729 (buf)[11]+=DECCOMBMSD[sourhi>>26];} |
0 | 730 #endif |
731 | |
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732 |
0 | 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 |