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f5bc1778 | 1 | /* Decimal 64-bit format module for the decNumber C Library. |
168a2f77 | 2 | Copyright (C) 2005, 2007, 2009 Free Software Foundation, Inc. |
f5bc1778 DJ |
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 | |
168a2f77 | 9 | Software Foundation; either version 3, or (at your option) any later |
f5bc1778 DJ |
10 | version. |
11 | ||
f5bc1778 DJ |
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 | ||
168a2f77 DD |
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/>. */ | |
f5bc1778 DJ |
25 | |
26 | /* ------------------------------------------------------------------ */ | |
87d32bb7 | 27 | /* Decimal 64-bit format module */ |
f5bc1778 DJ |
28 | /* ------------------------------------------------------------------ */ |
29 | /* This module comprises the routines for decimal64 format numbers. */ | |
30 | /* Conversions are supplied to and from decNumber and String. */ | |
31 | /* */ | |
32 | /* This is used when decNumber provides operations, either for all */ | |
33 | /* operations or as a proxy between decNumber and decSingle. */ | |
34 | /* */ | |
35 | /* Error handling is the same as decNumber (qv.). */ | |
36 | /* ------------------------------------------------------------------ */ | |
37 | #include <string.h> /* [for memset/memcpy] */ | |
38 | #include <stdio.h> /* [for printf] */ | |
39 | ||
87d32bb7 DD |
40 | #include "dconfig.h" /* GCC definitions */ |
41 | #define DECNUMDIGITS 16 /* make decNumbers with space for 16 */ | |
f5bc1778 DJ |
42 | #include "decNumber.h" /* base number library */ |
43 | #include "decNumberLocal.h" /* decNumber local types, etc. */ | |
44 | #include "decimal64.h" /* our primary include */ | |
45 | ||
46 | /* Utility routines and tables [in decimal64.c]; externs for C++ */ | |
f5bc1778 DJ |
47 | extern const uInt COMBEXP[32], COMBMSD[32]; |
48 | extern const uShort DPD2BIN[1024]; | |
49 | extern const uShort BIN2DPD[1000]; | |
50 | extern const uByte BIN2CHAR[4001]; | |
51 | ||
52 | extern void decDigitsFromDPD(decNumber *, const uInt *, Int); | |
53 | extern void decDigitsToDPD(const decNumber *, uInt *, Int); | |
54 | ||
55 | #if DECTRACE || DECCHECK | |
56 | void decimal64Show(const decimal64 *); /* for debug */ | |
57 | extern void decNumberShow(const decNumber *); /* .. */ | |
58 | #endif | |
59 | ||
60 | /* Useful macro */ | |
61 | /* Clear a structure (e.g., a decNumber) */ | |
62 | #define DEC_clear(d) memset(d, 0, sizeof(*d)) | |
63 | ||
64 | /* define and include the tables to use for conversions */ | |
65 | #define DEC_BIN2CHAR 1 | |
66 | #define DEC_DPD2BIN 1 | |
67 | #define DEC_BIN2DPD 1 /* used for all sizes */ | |
68 | #include "decDPD.h" /* lookup tables */ | |
69 | ||
70 | /* ------------------------------------------------------------------ */ | |
71 | /* decimal64FromNumber -- convert decNumber to decimal64 */ | |
72 | /* */ | |
87d32bb7 | 73 | /* ds is the target decimal64 */ |
f5bc1778 | 74 | /* dn is the source number (assumed valid) */ |
87d32bb7 | 75 | /* set is the context, used only for reporting errors */ |
f5bc1778 DJ |
76 | /* */ |
77 | /* The set argument is used only for status reporting and for the */ | |
78 | /* rounding mode (used if the coefficient is more than DECIMAL64_Pmax */ | |
79 | /* digits or an overflow is detected). If the exponent is out of the */ | |
80 | /* valid range then Overflow or Underflow will be raised. */ | |
81 | /* After Underflow a subnormal result is possible. */ | |
82 | /* */ | |
83 | /* DEC_Clamped is set if the number has to be 'folded down' to fit, */ | |
84 | /* by reducing its exponent and multiplying the coefficient by a */ | |
85 | /* power of ten, or if the exponent on a zero had to be clamped. */ | |
86 | /* ------------------------------------------------------------------ */ | |
87 | decimal64 * decimal64FromNumber(decimal64 *d64, const decNumber *dn, | |
88 | decContext *set) { | |
89 | uInt status=0; /* status accumulator */ | |
90 | Int ae; /* adjusted exponent */ | |
91 | decNumber dw; /* work */ | |
92 | decContext dc; /* .. */ | |
f5bc1778 | 93 | uInt comb, exp; /* .. */ |
87d32bb7 | 94 | uInt uiwork; /* for macros */ |
f5bc1778 DJ |
95 | uInt targar[2]={0, 0}; /* target 64-bit */ |
96 | #define targhi targar[1] /* name the word with the sign */ | |
97 | #define targlo targar[0] /* and the other */ | |
98 | ||
99 | /* If the number has too many digits, or the exponent could be */ | |
100 | /* out of range then reduce the number under the appropriate */ | |
101 | /* constraints. This could push the number to Infinity or zero, */ | |
102 | /* so this check and rounding must be done before generating the */ | |
103 | /* decimal64] */ | |
87d32bb7 DD |
104 | ae=dn->exponent+dn->digits-1; /* [0 if special] */ |
105 | if (dn->digits>DECIMAL64_Pmax /* too many digits */ | |
106 | || ae>DECIMAL64_Emax /* likely overflow */ | |
f5bc1778 DJ |
107 | || ae<DECIMAL64_Emin) { /* likely underflow */ |
108 | decContextDefault(&dc, DEC_INIT_DECIMAL64); /* [no traps] */ | |
109 | dc.round=set->round; /* use supplied rounding */ | |
110 | decNumberPlus(&dw, dn, &dc); /* (round and check) */ | |
111 | /* [this changes -0 to 0, so enforce the sign...] */ | |
112 | dw.bits|=dn->bits&DECNEG; | |
113 | status=dc.status; /* save status */ | |
114 | dn=&dw; /* use the work number */ | |
115 | } /* maybe out of range */ | |
116 | ||
117 | if (dn->bits&DECSPECIAL) { /* a special value */ | |
118 | if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24; | |
119 | else { /* sNaN or qNaN */ | |
87d32bb7 | 120 | if ((*dn->lsu!=0 || dn->digits>1) /* non-zero coefficient */ |
f5bc1778 DJ |
121 | && (dn->digits<DECIMAL64_Pmax)) { /* coefficient fits */ |
122 | decDigitsToDPD(dn, targar, 0); | |
123 | } | |
124 | if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24; | |
125 | else targhi|=DECIMAL_sNaN<<24; | |
126 | } /* a NaN */ | |
127 | } /* special */ | |
128 | ||
129 | else { /* is finite */ | |
130 | if (decNumberIsZero(dn)) { /* is a zero */ | |
131 | /* set and clamp exponent */ | |
132 | if (dn->exponent<-DECIMAL64_Bias) { | |
133 | exp=0; /* low clamp */ | |
134 | status|=DEC_Clamped; | |
135 | } | |
136 | else { | |
137 | exp=dn->exponent+DECIMAL64_Bias; /* bias exponent */ | |
138 | if (exp>DECIMAL64_Ehigh) { /* top clamp */ | |
139 | exp=DECIMAL64_Ehigh; | |
140 | status|=DEC_Clamped; | |
141 | } | |
142 | } | |
143 | comb=(exp>>5) & 0x18; /* msd=0, exp top 2 bits .. */ | |
144 | } | |
145 | else { /* non-zero finite number */ | |
87d32bb7 | 146 | uInt msd; /* work */ |
f5bc1778 DJ |
147 | Int pad=0; /* coefficient pad digits */ |
148 | ||
149 | /* the dn is known to fit, but it may need to be padded */ | |
150 | exp=(uInt)(dn->exponent+DECIMAL64_Bias); /* bias exponent */ | |
151 | if (exp>DECIMAL64_Ehigh) { /* fold-down case */ | |
152 | pad=exp-DECIMAL64_Ehigh; | |
153 | exp=DECIMAL64_Ehigh; /* [to maximum] */ | |
154 | status|=DEC_Clamped; | |
155 | } | |
156 | ||
157 | /* fastpath common case */ | |
158 | if (DECDPUN==3 && pad==0) { | |
159 | uInt dpd[6]={0,0,0,0,0,0}; | |
160 | uInt i; | |
161 | Int d=dn->digits; | |
162 | for (i=0; d>0; i++, d-=3) dpd[i]=BIN2DPD[dn->lsu[i]]; | |
163 | targlo =dpd[0]; | |
164 | targlo|=dpd[1]<<10; | |
165 | targlo|=dpd[2]<<20; | |
166 | if (dn->digits>6) { | |
167 | targlo|=dpd[3]<<30; | |
168 | targhi =dpd[3]>>2; | |
169 | targhi|=dpd[4]<<8; | |
170 | } | |
171 | msd=dpd[5]; /* [did not really need conversion] */ | |
172 | } | |
173 | else { /* general case */ | |
174 | decDigitsToDPD(dn, targar, pad); | |
175 | /* save and clear the top digit */ | |
176 | msd=targhi>>18; | |
177 | targhi&=0x0003ffff; | |
178 | } | |
179 | ||
180 | /* create the combination field */ | |
181 | if (msd>=8) comb=0x18 | ((exp>>7) & 0x06) | (msd & 0x01); | |
182 | else comb=((exp>>5) & 0x18) | msd; | |
183 | } | |
184 | targhi|=comb<<26; /* add combination field .. */ | |
185 | targhi|=(exp&0xff)<<18; /* .. and exponent continuation */ | |
186 | } /* finite */ | |
187 | ||
188 | if (dn->bits&DECNEG) targhi|=0x80000000; /* add sign bit */ | |
189 | ||
190 | /* now write to storage; this is now always endian */ | |
f5bc1778 | 191 | if (DECLITEND) { |
87d32bb7 DD |
192 | /* lo int then hi */ |
193 | UBFROMUI(d64->bytes, targar[0]); | |
194 | UBFROMUI(d64->bytes+4, targar[1]); | |
f5bc1778 DJ |
195 | } |
196 | else { | |
87d32bb7 DD |
197 | /* hi int then lo */ |
198 | UBFROMUI(d64->bytes, targar[1]); | |
199 | UBFROMUI(d64->bytes+4, targar[0]); | |
f5bc1778 DJ |
200 | } |
201 | ||
202 | if (status!=0) decContextSetStatus(set, status); /* pass on status */ | |
203 | /* decimal64Show(d64); */ | |
204 | return d64; | |
205 | } /* decimal64FromNumber */ | |
206 | ||
207 | /* ------------------------------------------------------------------ */ | |
208 | /* decimal64ToNumber -- convert decimal64 to decNumber */ | |
209 | /* d64 is the source decimal64 */ | |
210 | /* dn is the target number, with appropriate space */ | |
211 | /* No error is possible. */ | |
212 | /* ------------------------------------------------------------------ */ | |
213 | decNumber * decimal64ToNumber(const decimal64 *d64, decNumber *dn) { | |
214 | uInt msd; /* coefficient MSD */ | |
215 | uInt exp; /* exponent top two bits */ | |
216 | uInt comb; /* combination field */ | |
87d32bb7 DD |
217 | Int need; /* work */ |
218 | uInt uiwork; /* for macros */ | |
f5bc1778 DJ |
219 | uInt sourar[2]; /* source 64-bit */ |
220 | #define sourhi sourar[1] /* name the word with the sign */ | |
221 | #define sourlo sourar[0] /* and the lower word */ | |
222 | ||
223 | /* load source from storage; this is endian */ | |
f5bc1778 | 224 | if (DECLITEND) { |
87d32bb7 DD |
225 | sourlo=UBTOUI(d64->bytes ); /* directly load the low int */ |
226 | sourhi=UBTOUI(d64->bytes+4); /* then the high int */ | |
f5bc1778 DJ |
227 | } |
228 | else { | |
87d32bb7 DD |
229 | sourhi=UBTOUI(d64->bytes ); /* directly load the high int */ |
230 | sourlo=UBTOUI(d64->bytes+4); /* then the low int */ | |
f5bc1778 DJ |
231 | } |
232 | ||
233 | comb=(sourhi>>26)&0x1f; /* combination field */ | |
234 | ||
235 | decNumberZero(dn); /* clean number */ | |
236 | if (sourhi&0x80000000) dn->bits=DECNEG; /* set sign if negative */ | |
237 | ||
238 | msd=COMBMSD[comb]; /* decode the combination field */ | |
239 | exp=COMBEXP[comb]; /* .. */ | |
240 | ||
87d32bb7 | 241 | if (exp==3) { /* is a special */ |
f5bc1778 DJ |
242 | if (msd==0) { |
243 | dn->bits|=DECINF; | |
244 | return dn; /* no coefficient needed */ | |
245 | } | |
246 | else if (sourhi&0x02000000) dn->bits|=DECSNAN; | |
247 | else dn->bits|=DECNAN; | |
248 | msd=0; /* no top digit */ | |
249 | } | |
250 | else { /* is a finite number */ | |
251 | dn->exponent=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; /* unbiased */ | |
252 | } | |
253 | ||
254 | /* get the coefficient */ | |
255 | sourhi&=0x0003ffff; /* clean coefficient continuation */ | |
256 | if (msd) { /* non-zero msd */ | |
257 | sourhi|=msd<<18; /* prefix to coefficient */ | |
258 | need=6; /* process 6 declets */ | |
259 | } | |
260 | else { /* msd=0 */ | |
261 | if (!sourhi) { /* top word 0 */ | |
262 | if (!sourlo) return dn; /* easy: coefficient is 0 */ | |
263 | need=3; /* process at least 3 declets */ | |
264 | if (sourlo&0xc0000000) need++; /* process 4 declets */ | |
265 | /* [could reduce some more, here] */ | |
266 | } | |
267 | else { /* some bits in top word, msd=0 */ | |
268 | need=4; /* process at least 4 declets */ | |
269 | if (sourhi&0x0003ff00) need++; /* top declet!=0, process 5 */ | |
270 | } | |
271 | } /*msd=0 */ | |
272 | ||
273 | decDigitsFromDPD(dn, sourar, need); /* process declets */ | |
274 | return dn; | |
275 | } /* decimal64ToNumber */ | |
276 | ||
277 | ||
278 | /* ------------------------------------------------------------------ */ | |
87d32bb7 | 279 | /* to-scientific-string -- conversion to numeric string */ |
f5bc1778 DJ |
280 | /* to-engineering-string -- conversion to numeric string */ |
281 | /* */ | |
282 | /* decimal64ToString(d64, string); */ | |
87d32bb7 | 283 | /* decimal64ToEngString(d64, string); */ |
f5bc1778 DJ |
284 | /* */ |
285 | /* d64 is the decimal64 format number to convert */ | |
286 | /* string is the string where the result will be laid out */ | |
287 | /* */ | |
288 | /* string must be at least 24 characters */ | |
289 | /* */ | |
290 | /* No error is possible, and no status can be set. */ | |
291 | /* ------------------------------------------------------------------ */ | |
292 | char * decimal64ToEngString(const decimal64 *d64, char *string){ | |
87d32bb7 | 293 | decNumber dn; /* work */ |
f5bc1778 DJ |
294 | decimal64ToNumber(d64, &dn); |
295 | decNumberToEngString(&dn, string); | |
296 | return string; | |
297 | } /* decimal64ToEngString */ | |
298 | ||
299 | char * decimal64ToString(const decimal64 *d64, char *string){ | |
300 | uInt msd; /* coefficient MSD */ | |
301 | Int exp; /* exponent top two bits or full */ | |
302 | uInt comb; /* combination field */ | |
87d32bb7 | 303 | char *cstart; /* coefficient start */ |
f5bc1778 | 304 | char *c; /* output pointer in string */ |
87d32bb7 | 305 | const uByte *u; /* work */ |
f5bc1778 DJ |
306 | char *s, *t; /* .. (source, target) */ |
307 | Int dpd; /* .. */ | |
308 | Int pre, e; /* .. */ | |
87d32bb7 | 309 | uInt uiwork; /* for macros */ |
f5bc1778 DJ |
310 | |
311 | uInt sourar[2]; /* source 64-bit */ | |
312 | #define sourhi sourar[1] /* name the word with the sign */ | |
313 | #define sourlo sourar[0] /* and the lower word */ | |
314 | ||
315 | /* load source from storage; this is endian */ | |
f5bc1778 | 316 | if (DECLITEND) { |
87d32bb7 DD |
317 | sourlo=UBTOUI(d64->bytes ); /* directly load the low int */ |
318 | sourhi=UBTOUI(d64->bytes+4); /* then the high int */ | |
f5bc1778 DJ |
319 | } |
320 | else { | |
87d32bb7 DD |
321 | sourhi=UBTOUI(d64->bytes ); /* directly load the high int */ |
322 | sourlo=UBTOUI(d64->bytes+4); /* then the low int */ | |
f5bc1778 DJ |
323 | } |
324 | ||
325 | c=string; /* where result will go */ | |
326 | if (((Int)sourhi)<0) *c++='-'; /* handle sign */ | |
327 | ||
328 | comb=(sourhi>>26)&0x1f; /* combination field */ | |
329 | msd=COMBMSD[comb]; /* decode the combination field */ | |
330 | exp=COMBEXP[comb]; /* .. */ | |
331 | ||
332 | if (exp==3) { | |
333 | if (msd==0) { /* infinity */ | |
87d32bb7 | 334 | strcpy(c, "Inf"); |
f5bc1778 DJ |
335 | strcpy(c+3, "inity"); |
336 | return string; /* easy */ | |
337 | } | |
338 | if (sourhi&0x02000000) *c++='s'; /* sNaN */ | |
339 | strcpy(c, "NaN"); /* complete word */ | |
340 | c+=3; /* step past */ | |
341 | if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; /* zero payload */ | |
342 | /* otherwise drop through to add integer; set correct exp */ | |
343 | exp=0; msd=0; /* setup for following code */ | |
344 | } | |
345 | else exp=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; | |
346 | ||
347 | /* convert 16 digits of significand to characters */ | |
348 | cstart=c; /* save start of coefficient */ | |
349 | if (msd) *c++='0'+(char)msd; /* non-zero most significant digit */ | |
350 | ||
351 | /* Now decode the declets. After extracting each one, it is */ | |
352 | /* decoded to binary and then to a 4-char sequence by table lookup; */ | |
353 | /* the 4-chars are a 1-char length (significant digits, except 000 */ | |
354 | /* has length 0). This allows us to left-align the first declet */ | |
355 | /* with non-zero content, then remaining ones are full 3-char */ | |
356 | /* length. We use fixed-length memcpys because variable-length */ | |
357 | /* causes a subroutine call in GCC. (These are length 4 for speed */ | |
358 | /* and are safe because the array has an extra terminator byte.) */ | |
87d32bb7 | 359 | #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \ |
f5bc1778 DJ |
360 | if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \ |
361 | else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;} | |
362 | ||
363 | dpd=(sourhi>>8)&0x3ff; /* declet 1 */ | |
364 | dpd2char; | |
365 | dpd=((sourhi&0xff)<<2) | (sourlo>>30); /* declet 2 */ | |
366 | dpd2char; | |
367 | dpd=(sourlo>>20)&0x3ff; /* declet 3 */ | |
368 | dpd2char; | |
369 | dpd=(sourlo>>10)&0x3ff; /* declet 4 */ | |
370 | dpd2char; | |
371 | dpd=(sourlo)&0x3ff; /* declet 5 */ | |
372 | dpd2char; | |
373 | ||
374 | if (c==cstart) *c++='0'; /* all zeros -- make 0 */ | |
375 | ||
87d32bb7 | 376 | if (exp==0) { /* integer or NaN case -- easy */ |
f5bc1778 DJ |
377 | *c='\0'; /* terminate */ |
378 | return string; | |
379 | } | |
380 | ||
381 | /* non-0 exponent */ | |
382 | e=0; /* assume no E */ | |
383 | pre=c-cstart+exp; | |
384 | /* [here, pre-exp is the digits count (==1 for zero)] */ | |
385 | if (exp>0 || pre<-5) { /* need exponential form */ | |
386 | e=pre-1; /* calculate E value */ | |
387 | pre=1; /* assume one digit before '.' */ | |
388 | } /* exponential form */ | |
389 | ||
390 | /* modify the coefficient, adding 0s, '.', and E+nn as needed */ | |
391 | s=c-1; /* source (LSD) */ | |
392 | if (pre>0) { /* ddd.ddd (plain), perhaps with E */ | |
393 | char *dotat=cstart+pre; | |
394 | if (dotat<c) { /* if embedded dot needed... */ | |
395 | t=c; /* target */ | |
396 | for (; s>=dotat; s--, t--) *t=*s; /* open the gap; leave t at gap */ | |
397 | *t='.'; /* insert the dot */ | |
398 | c++; /* length increased by one */ | |
399 | } | |
400 | ||
401 | /* finally add the E-part, if needed; it will never be 0, and has */ | |
402 | /* a maximum length of 3 digits */ | |
403 | if (e!=0) { | |
87d32bb7 DD |
404 | *c++='E'; /* starts with E */ |
405 | *c++='+'; /* assume positive */ | |
f5bc1778 DJ |
406 | if (e<0) { |
407 | *(c-1)='-'; /* oops, need '-' */ | |
408 | e=-e; /* uInt, please */ | |
409 | } | |
87d32bb7 | 410 | u=&BIN2CHAR[e*4]; /* -> length byte */ |
f5bc1778 DJ |
411 | memcpy(c, u+4-*u, 4); /* copy fixed 4 characters [is safe] */ |
412 | c+=*u; /* bump pointer appropriately */ | |
413 | } | |
414 | *c='\0'; /* add terminator */ | |
415 | /*printf("res %s\n", string); */ | |
416 | return string; | |
417 | } /* pre>0 */ | |
418 | ||
419 | /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */ | |
420 | t=c+1-pre; | |
421 | *(t+1)='\0'; /* can add terminator now */ | |
422 | for (; s>=cstart; s--, t--) *t=*s; /* shift whole coefficient right */ | |
423 | c=cstart; | |
424 | *c++='0'; /* always starts with 0. */ | |
425 | *c++='.'; | |
426 | for (; pre<0; pre++) *c++='0'; /* add any 0's after '.' */ | |
427 | /*printf("res %s\n", string); */ | |
428 | return string; | |
429 | } /* decimal64ToString */ | |
430 | ||
431 | /* ------------------------------------------------------------------ */ | |
432 | /* to-number -- conversion from numeric string */ | |
433 | /* */ | |
434 | /* decimal64FromString(result, string, set); */ | |
435 | /* */ | |
436 | /* result is the decimal64 format number which gets the result of */ | |
437 | /* the conversion */ | |
438 | /* *string is the character string which should contain a valid */ | |
439 | /* number (which may be a special value) */ | |
87d32bb7 | 440 | /* set is the context */ |
f5bc1778 DJ |
441 | /* */ |
442 | /* The context is supplied to this routine is used for error handling */ | |
443 | /* (setting of status and traps) and for the rounding mode, only. */ | |
444 | /* If an error occurs, the result will be a valid decimal64 NaN. */ | |
445 | /* ------------------------------------------------------------------ */ | |
446 | decimal64 * decimal64FromString(decimal64 *result, const char *string, | |
447 | decContext *set) { | |
448 | decContext dc; /* work */ | |
87d32bb7 | 449 | decNumber dn; /* .. */ |
f5bc1778 DJ |
450 | |
451 | decContextDefault(&dc, DEC_INIT_DECIMAL64); /* no traps, please */ | |
452 | dc.round=set->round; /* use supplied rounding */ | |
453 | ||
454 | decNumberFromString(&dn, string, &dc); /* will round if needed */ | |
455 | ||
456 | decimal64FromNumber(result, &dn, &dc); | |
457 | if (dc.status!=0) { /* something happened */ | |
458 | decContextSetStatus(set, dc.status); /* .. pass it on */ | |
459 | } | |
460 | return result; | |
461 | } /* decimal64FromString */ | |
462 | ||
463 | /* ------------------------------------------------------------------ */ | |
464 | /* decimal64IsCanonical -- test whether encoding is canonical */ | |
465 | /* d64 is the source decimal64 */ | |
87d32bb7 | 466 | /* returns 1 if the encoding of d64 is canonical, 0 otherwise */ |
f5bc1778 DJ |
467 | /* No error is possible. */ |
468 | /* ------------------------------------------------------------------ */ | |
87d32bb7 DD |
469 | uInt decimal64IsCanonical(const decimal64 *d64) { |
470 | decNumber dn; /* work */ | |
f5bc1778 DJ |
471 | decimal64 canon; /* .. */ |
472 | decContext dc; /* .. */ | |
473 | decContextDefault(&dc, DEC_INIT_DECIMAL64); | |
474 | decimal64ToNumber(d64, &dn); | |
475 | decimal64FromNumber(&canon, &dn, &dc);/* canon will now be canonical */ | |
476 | return memcmp(d64, &canon, DECIMAL64_Bytes)==0; | |
477 | } /* decimal64IsCanonical */ | |
478 | ||
479 | /* ------------------------------------------------------------------ */ | |
480 | /* decimal64Canonical -- copy an encoding, ensuring it is canonical */ | |
481 | /* d64 is the source decimal64 */ | |
482 | /* result is the target (may be the same decimal64) */ | |
483 | /* returns result */ | |
484 | /* No error is possible. */ | |
485 | /* ------------------------------------------------------------------ */ | |
486 | decimal64 * decimal64Canonical(decimal64 *result, const decimal64 *d64) { | |
87d32bb7 | 487 | decNumber dn; /* work */ |
f5bc1778 DJ |
488 | decContext dc; /* .. */ |
489 | decContextDefault(&dc, DEC_INIT_DECIMAL64); | |
490 | decimal64ToNumber(d64, &dn); | |
491 | decimal64FromNumber(result, &dn, &dc);/* result will now be canonical */ | |
492 | return result; | |
493 | } /* decimal64Canonical */ | |
494 | ||
495 | #if DECTRACE || DECCHECK | |
496 | /* Macros for accessing decimal64 fields. These assume the | |
497 | argument is a reference (pointer) to the decimal64 structure, | |
498 | and the decimal64 is in network byte order (big-endian) */ | |
499 | /* Get sign */ | |
500 | #define decimal64Sign(d) ((unsigned)(d)->bytes[0]>>7) | |
501 | ||
502 | /* Get combination field */ | |
503 | #define decimal64Comb(d) (((d)->bytes[0] & 0x7c)>>2) | |
504 | ||
505 | /* Get exponent continuation [does not remove bias] */ | |
506 | #define decimal64ExpCon(d) ((((d)->bytes[0] & 0x03)<<6) \ | |
507 | | ((unsigned)(d)->bytes[1]>>2)) | |
508 | ||
509 | /* Set sign [this assumes sign previously 0] */ | |
510 | #define decimal64SetSign(d, b) { \ | |
511 | (d)->bytes[0]|=((unsigned)(b)<<7);} | |
512 | ||
513 | /* Set exponent continuation [does not apply bias] */ | |
514 | /* This assumes range has been checked and exponent previously 0; */ | |
515 | /* type of exponent must be unsigned */ | |
516 | #define decimal64SetExpCon(d, e) { \ | |
87d32bb7 DD |
517 | (d)->bytes[0]|=(uByte)((e)>>6); \ |
518 | (d)->bytes[1]|=(uByte)(((e)&0x3F)<<2);} | |
f5bc1778 DJ |
519 | |
520 | /* ------------------------------------------------------------------ */ | |
521 | /* decimal64Show -- display a decimal64 in hexadecimal [debug aid] */ | |
522 | /* d64 -- the number to show */ | |
523 | /* ------------------------------------------------------------------ */ | |
524 | /* Also shows sign/cob/expconfields extracted */ | |
525 | void decimal64Show(const decimal64 *d64) { | |
526 | char buf[DECIMAL64_Bytes*2+1]; | |
527 | Int i, j=0; | |
528 | ||
529 | if (DECLITEND) { | |
530 | for (i=0; i<DECIMAL64_Bytes; i++, j+=2) { | |
531 | sprintf(&buf[j], "%02x", d64->bytes[7-i]); | |
532 | } | |
533 | printf(" D64> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf, | |
534 | d64->bytes[7]>>7, (d64->bytes[7]>>2)&0x1f, | |
535 | ((d64->bytes[7]&0x3)<<6)| (d64->bytes[6]>>2)); | |
536 | } | |
537 | else { /* big-endian */ | |
538 | for (i=0; i<DECIMAL64_Bytes; i++, j+=2) { | |
539 | sprintf(&buf[j], "%02x", d64->bytes[i]); | |
540 | } | |
541 | printf(" D64> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf, | |
542 | decimal64Sign(d64), decimal64Comb(d64), decimal64ExpCon(d64)); | |
543 | } | |
544 | } /* decimal64Show */ | |
545 | #endif | |
546 | ||
547 | /* ================================================================== */ | |
548 | /* Shared utility routines and tables */ | |
549 | /* ================================================================== */ | |
550 | /* define and include the conversion tables to use for shared code */ | |
551 | #if DECDPUN==3 | |
552 | #define DEC_DPD2BIN 1 | |
553 | #else | |
554 | #define DEC_DPD2BCD 1 | |
555 | #endif | |
556 | #include "decDPD.h" /* lookup tables */ | |
557 | ||
558 | /* The maximum number of decNumberUnits needed for a working copy of */ | |
559 | /* the units array is the ceiling of digits/DECDPUN, where digits is */ | |
560 | /* the maximum number of digits in any of the formats for which this */ | |
561 | /* is used. decimal128.h must not be included in this module, so, as */ | |
562 | /* a very special case, that number is defined as a literal here. */ | |
563 | #define DECMAX754 34 | |
564 | #define DECMAXUNITS ((DECMAX754+DECDPUN-1)/DECDPUN) | |
565 | ||
566 | /* ------------------------------------------------------------------ */ | |
567 | /* Combination field lookup tables (uInts to save measurable work) */ | |
568 | /* */ | |
569 | /* COMBEXP - 2-bit most-significant-bits of exponent */ | |
570 | /* [11 if an Infinity or NaN] */ | |
571 | /* COMBMSD - 4-bit most-significant-digit */ | |
572 | /* [0=Infinity, 1=NaN if COMBEXP=11] */ | |
573 | /* */ | |
574 | /* Both are indexed by the 5-bit combination field (0-31) */ | |
575 | /* ------------------------------------------------------------------ */ | |
576 | const uInt COMBEXP[32]={0, 0, 0, 0, 0, 0, 0, 0, | |
577 | 1, 1, 1, 1, 1, 1, 1, 1, | |
578 | 2, 2, 2, 2, 2, 2, 2, 2, | |
579 | 0, 0, 1, 1, 2, 2, 3, 3}; | |
580 | const uInt COMBMSD[32]={0, 1, 2, 3, 4, 5, 6, 7, | |
581 | 0, 1, 2, 3, 4, 5, 6, 7, | |
582 | 0, 1, 2, 3, 4, 5, 6, 7, | |
583 | 8, 9, 8, 9, 8, 9, 0, 1}; | |
584 | ||
585 | /* ------------------------------------------------------------------ */ | |
586 | /* decDigitsToDPD -- pack coefficient into DPD form */ | |
587 | /* */ | |
87d32bb7 | 588 | /* dn is the source number (assumed valid, max DECMAX754 digits) */ |
f5bc1778 | 589 | /* targ is 1, 2, or 4-element uInt array, which the caller must */ |
87d32bb7 | 590 | /* have cleared to zeros */ |
f5bc1778 DJ |
591 | /* shift is the number of 0 digits to add on the right (normally 0) */ |
592 | /* */ | |
87d32bb7 | 593 | /* The coefficient must be known small enough to fit. The full */ |
f5bc1778 DJ |
594 | /* coefficient is copied, including the leading 'odd' digit. This */ |
595 | /* digit is retrieved and packed into the combination field by the */ | |
596 | /* caller. */ | |
597 | /* */ | |
598 | /* The target uInts are altered only as necessary to receive the */ | |
599 | /* digits of the decNumber. When more than one uInt is needed, they */ | |
600 | /* are filled from left to right (that is, the uInt at offset 0 will */ | |
601 | /* end up with the least-significant digits). */ | |
602 | /* */ | |
603 | /* shift is used for 'fold-down' padding. */ | |
604 | /* */ | |
605 | /* No error is possible. */ | |
606 | /* ------------------------------------------------------------------ */ | |
607 | #if DECDPUN<=4 | |
608 | /* Constant multipliers for divide-by-power-of five using reciprocal */ | |
609 | /* multiply, after removing powers of 2 by shifting, and final shift */ | |
610 | /* of 17 [we only need up to **4] */ | |
611 | static const uInt multies[]={131073, 26215, 5243, 1049, 210}; | |
612 | /* QUOT10 -- macro to return the quotient of unit u divided by 10**n */ | |
613 | #define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17) | |
614 | #endif | |
615 | void decDigitsToDPD(const decNumber *dn, uInt *targ, Int shift) { | |
616 | Int cut; /* work */ | |
617 | Int n; /* output bunch counter */ | |
618 | Int digits=dn->digits; /* digit countdown */ | |
619 | uInt dpd; /* densely packed decimal value */ | |
620 | uInt bin; /* binary value 0-999 */ | |
621 | uInt *uout=targ; /* -> current output uInt */ | |
87d32bb7 | 622 | uInt uoff=0; /* -> current output offset [from right] */ |
f5bc1778 DJ |
623 | const Unit *inu=dn->lsu; /* -> current input unit */ |
624 | Unit uar[DECMAXUNITS]; /* working copy of units, iff shifted */ | |
625 | #if DECDPUN!=3 /* not fast path */ | |
626 | Unit in; /* current unit */ | |
627 | #endif | |
628 | ||
629 | if (shift!=0) { /* shift towards most significant required */ | |
630 | /* shift the units array to the left by pad digits and copy */ | |
631 | /* [this code is a special case of decShiftToMost, which could */ | |
632 | /* be used instead if exposed and the array were copied first] */ | |
87d32bb7 | 633 | const Unit *source; /* .. */ |
f5bc1778 DJ |
634 | Unit *target, *first; /* .. */ |
635 | uInt next=0; /* work */ | |
636 | ||
637 | source=dn->lsu+D2U(digits)-1; /* where msu comes from */ | |
638 | target=uar+D2U(digits)-1+D2U(shift);/* where upper part of first cut goes */ | |
639 | cut=DECDPUN-MSUDIGITS(shift); /* where to slice */ | |
640 | if (cut==0) { /* unit-boundary case */ | |
641 | for (; source>=dn->lsu; source--, target--) *target=*source; | |
642 | } | |
643 | else { | |
644 | first=uar+D2U(digits+shift)-1; /* where msu will end up */ | |
645 | for (; source>=dn->lsu; source--, target--) { | |
646 | /* split the source Unit and accumulate remainder for next */ | |
647 | #if DECDPUN<=4 | |
648 | uInt quot=QUOT10(*source, cut); | |
649 | uInt rem=*source-quot*DECPOWERS[cut]; | |
650 | next+=quot; | |
651 | #else | |
652 | uInt rem=*source%DECPOWERS[cut]; | |
653 | next+=*source/DECPOWERS[cut]; | |
654 | #endif | |
655 | if (target<=first) *target=(Unit)next; /* write to target iff valid */ | |
656 | next=rem*DECPOWERS[DECDPUN-cut]; /* save remainder for next Unit */ | |
657 | } | |
658 | } /* shift-move */ | |
659 | /* propagate remainder to one below and clear the rest */ | |
660 | for (; target>=uar; target--) { | |
661 | *target=(Unit)next; | |
662 | next=0; | |
663 | } | |
664 | digits+=shift; /* add count (shift) of zeros added */ | |
665 | inu=uar; /* use units in working array */ | |
666 | } | |
667 | ||
668 | /* now densely pack the coefficient into DPD declets */ | |
669 | ||
670 | #if DECDPUN!=3 /* not fast path */ | |
671 | in=*inu; /* current unit */ | |
672 | cut=0; /* at lowest digit */ | |
673 | bin=0; /* [keep compiler quiet] */ | |
674 | #endif | |
675 | ||
676 | for(n=0; digits>0; n++) { /* each output bunch */ | |
677 | #if DECDPUN==3 /* fast path, 3-at-a-time */ | |
87d32bb7 | 678 | bin=*inu; /* 3 digits ready for convert */ |
f5bc1778 DJ |
679 | digits-=3; /* [may go negative] */ |
680 | inu++; /* may need another */ | |
681 | ||
682 | #else /* must collect digit-by-digit */ | |
87d32bb7 | 683 | Unit dig; /* current digit */ |
f5bc1778 DJ |
684 | Int j; /* digit-in-declet count */ |
685 | for (j=0; j<3; j++) { | |
686 | #if DECDPUN<=4 | |
687 | Unit temp=(Unit)((uInt)(in*6554)>>16); | |
688 | dig=(Unit)(in-X10(temp)); | |
689 | in=temp; | |
690 | #else | |
691 | dig=in%10; | |
692 | in=in/10; | |
693 | #endif | |
694 | if (j==0) bin=dig; | |
87d32bb7 | 695 | else if (j==1) bin+=X10(dig); |
f5bc1778 DJ |
696 | else /* j==2 */ bin+=X100(dig); |
697 | digits--; | |
698 | if (digits==0) break; /* [also protects *inu below] */ | |
699 | cut++; | |
700 | if (cut==DECDPUN) {inu++; in=*inu; cut=0;} | |
701 | } | |
702 | #endif | |
703 | /* here there are 3 digits in bin, or have used all input digits */ | |
704 | ||
705 | dpd=BIN2DPD[bin]; | |
706 | ||
707 | /* write declet to uInt array */ | |
708 | *uout|=dpd<<uoff; | |
709 | uoff+=10; | |
710 | if (uoff<32) continue; /* no uInt boundary cross */ | |
711 | uout++; | |
712 | uoff-=32; | |
713 | *uout|=dpd>>(10-uoff); /* collect top bits */ | |
714 | } /* n declets */ | |
715 | return; | |
716 | } /* decDigitsToDPD */ | |
717 | ||
718 | /* ------------------------------------------------------------------ */ | |
719 | /* decDigitsFromDPD -- unpack a format's coefficient */ | |
720 | /* */ | |
721 | /* dn is the target number, with 7, 16, or 34-digit space. */ | |
722 | /* sour is a 1, 2, or 4-element uInt array containing only declets */ | |
723 | /* declets is the number of (right-aligned) declets in sour to */ | |
724 | /* be processed. This may be 1 more than the obvious number in */ | |
725 | /* a format, as any top digit is prefixed to the coefficient */ | |
726 | /* continuation field. It also may be as small as 1, as the */ | |
727 | /* caller may pre-process leading zero declets. */ | |
728 | /* */ | |
729 | /* When doing the 'extra declet' case care is taken to avoid writing */ | |
730 | /* extra digits when there are leading zeros, as these could overflow */ | |
731 | /* the units array when DECDPUN is not 3. */ | |
732 | /* */ | |
733 | /* The target uInts are used only as necessary to process declets */ | |
734 | /* declets into the decNumber. When more than one uInt is needed, */ | |
735 | /* they are used from left to right (that is, the uInt at offset 0 */ | |
736 | /* provides the least-significant digits). */ | |
737 | /* */ | |
738 | /* dn->digits is set, but not the sign or exponent. */ | |
739 | /* No error is possible [the redundant 888 codes are allowed]. */ | |
740 | /* ------------------------------------------------------------------ */ | |
741 | void decDigitsFromDPD(decNumber *dn, const uInt *sour, Int declets) { | |
742 | ||
743 | uInt dpd; /* collector for 10 bits */ | |
744 | Int n; /* counter */ | |
745 | Unit *uout=dn->lsu; /* -> current output unit */ | |
746 | Unit *last=uout; /* will be unit containing msd */ | |
87d32bb7 DD |
747 | const uInt *uin=sour; /* -> current input uInt */ |
748 | uInt uoff=0; /* -> current input offset [from right] */ | |
f5bc1778 DJ |
749 | |
750 | #if DECDPUN!=3 | |
751 | uInt bcd; /* BCD result */ | |
87d32bb7 | 752 | uInt nibble; /* work */ |
f5bc1778 DJ |
753 | Unit out=0; /* accumulator */ |
754 | Int cut=0; /* power of ten in current unit */ | |
755 | #endif | |
756 | #if DECDPUN>4 | |
757 | uInt const *pow; /* work */ | |
758 | #endif | |
759 | ||
760 | /* Expand the densely-packed integer, right to left */ | |
761 | for (n=declets-1; n>=0; n--) { /* count down declets of 10 bits */ | |
762 | dpd=*uin>>uoff; | |
763 | uoff+=10; | |
764 | if (uoff>32) { /* crossed uInt boundary */ | |
765 | uin++; | |
766 | uoff-=32; | |
767 | dpd|=*uin<<(10-uoff); /* get waiting bits */ | |
768 | } | |
87d32bb7 | 769 | dpd&=0x3ff; /* clear uninteresting bits */ |
f5bc1778 DJ |
770 | |
771 | #if DECDPUN==3 | |
772 | if (dpd==0) *uout=0; | |
773 | else { | |
774 | *uout=DPD2BIN[dpd]; /* convert 10 bits to binary 0-999 */ | |
775 | last=uout; /* record most significant unit */ | |
776 | } | |
777 | uout++; | |
778 | } /* n */ | |
779 | ||
780 | #else /* DECDPUN!=3 */ | |
781 | if (dpd==0) { /* fastpath [e.g., leading zeros] */ | |
782 | /* write out three 0 digits (nibbles); out may have digit(s) */ | |
783 | cut++; | |
784 | if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} | |
785 | if (n==0) break; /* [as below, works even if MSD=0] */ | |
786 | cut++; | |
787 | if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} | |
788 | cut++; | |
789 | if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} | |
790 | continue; | |
791 | } | |
792 | ||
793 | bcd=DPD2BCD[dpd]; /* convert 10 bits to 12 bits BCD */ | |
794 | ||
795 | /* now accumulate the 3 BCD nibbles into units */ | |
796 | nibble=bcd & 0x00f; | |
797 | if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]); | |
798 | cut++; | |
799 | if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} | |
800 | bcd>>=4; | |
801 | ||
802 | /* if this is the last declet and the remaining nibbles in bcd */ | |
803 | /* are 00 then process no more nibbles, because this could be */ | |
804 | /* the 'odd' MSD declet and writing any more Units would then */ | |
805 | /* overflow the unit array */ | |
806 | if (n==0 && !bcd) break; | |
807 | ||
808 | nibble=bcd & 0x00f; | |
809 | if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]); | |
810 | cut++; | |
811 | if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} | |
812 | bcd>>=4; | |
813 | ||
814 | nibble=bcd & 0x00f; | |
815 | if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]); | |
816 | cut++; | |
817 | if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} | |
818 | } /* n */ | |
87d32bb7 | 819 | if (cut!=0) { /* some more left over */ |
f5bc1778 | 820 | *uout=out; /* write out final unit */ |
87d32bb7 | 821 | if (out) last=uout; /* and note if non-zero */ |
f5bc1778 DJ |
822 | } |
823 | #endif | |
824 | ||
825 | /* here, last points to the most significant unit with digits; */ | |
826 | /* inspect it to get the final digits count -- this is essentially */ | |
827 | /* the same code as decGetDigits in decNumber.c */ | |
828 | dn->digits=(last-dn->lsu)*DECDPUN+1; /* floor of digits, plus */ | |
829 | /* must be at least 1 digit */ | |
830 | #if DECDPUN>1 | |
87d32bb7 DD |
831 | if (*last<10) return; /* common odd digit or 0 */ |
832 | dn->digits++; /* must be 2 at least */ | |
f5bc1778 DJ |
833 | #if DECDPUN>2 |
834 | if (*last<100) return; /* 10-99 */ | |
87d32bb7 | 835 | dn->digits++; /* must be 3 at least */ |
f5bc1778 DJ |
836 | #if DECDPUN>3 |
837 | if (*last<1000) return; /* 100-999 */ | |
87d32bb7 | 838 | dn->digits++; /* must be 4 at least */ |
f5bc1778 DJ |
839 | #if DECDPUN>4 |
840 | for (pow=&DECPOWERS[4]; *last>=*pow; pow++) dn->digits++; | |
841 | #endif | |
842 | #endif | |
843 | #endif | |
844 | #endif | |
845 | return; | |
846 | } /*decDigitsFromDPD */ |