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72ac97cd TM |
1 | /* Decimal context module for the decNumber C Library. |
2 | Copyright (C) 2005, 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 | /* Decimal Context module */ | |
33 | /* ------------------------------------------------------------------ */ | |
34 | /* This module comprises the routines for handling arithmetic */ | |
35 | /* context structures. */ | |
36 | /* ------------------------------------------------------------------ */ | |
37 | ||
38 | #include <string.h> /* for strcmp */ | |
39 | #include <stdio.h> /* for printf if DECCHECK */ | |
0f2d3732 TM |
40 | #include "libdecnumber/dconfig.h" |
41 | #include "libdecnumber/decContext.h" | |
42 | #include "libdecnumber/decNumberLocal.h" | |
72ac97cd TM |
43 | |
44 | #if DECCHECK | |
45 | /* compile-time endian tester [assumes sizeof(Int)>1] */ | |
46 | static const Int mfcone=1; /* constant 1 */ | |
47 | static const Flag *mfctop=(Flag *)&mfcone; /* -> top byte */ | |
48 | #define LITEND *mfctop /* named flag; 1=little-endian */ | |
49 | #endif | |
50 | ||
51 | /* ------------------------------------------------------------------ */ | |
52 | /* round-for-reround digits */ | |
53 | /* ------------------------------------------------------------------ */ | |
54 | const uByte DECSTICKYTAB[10]={1,1,2,3,4,6,6,7,8,9}; /* used if sticky */ | |
55 | ||
56 | /* ------------------------------------------------------------------ */ | |
57 | /* Powers of ten (powers[n]==10**n, 0<=n<=9) */ | |
58 | /* ------------------------------------------------------------------ */ | |
79af3572 TM |
59 | const uLong DECPOWERS[19] = {1, 10, 100, 1000, 10000, 100000, 1000000, |
60 | 10000000, 100000000, 1000000000, 10000000000ULL, 100000000000ULL, | |
61 | 1000000000000ULL, 10000000000000ULL, 100000000000000ULL, 1000000000000000ULL, | |
62 | 10000000000000000ULL, 100000000000000000ULL, 1000000000000000000ULL, }; | |
72ac97cd TM |
63 | |
64 | /* ------------------------------------------------------------------ */ | |
65 | /* decContextClearStatus -- clear bits in current status */ | |
66 | /* */ | |
67 | /* context is the context structure to be queried */ | |
68 | /* mask indicates the bits to be cleared (the status bit that */ | |
69 | /* corresponds to each 1 bit in the mask is cleared) */ | |
70 | /* returns context */ | |
71 | /* */ | |
72 | /* No error is possible. */ | |
73 | /* ------------------------------------------------------------------ */ | |
74 | decContext *decContextClearStatus(decContext *context, uInt mask) { | |
75 | context->status&=~mask; | |
76 | return context; | |
77 | } /* decContextClearStatus */ | |
78 | ||
79 | /* ------------------------------------------------------------------ */ | |
80 | /* decContextDefault -- initialize a context structure */ | |
81 | /* */ | |
82 | /* context is the structure to be initialized */ | |
83 | /* kind selects the required set of default values, one of: */ | |
84 | /* DEC_INIT_BASE -- select ANSI X3-274 defaults */ | |
85 | /* DEC_INIT_DECIMAL32 -- select IEEE 754r defaults, 32-bit */ | |
86 | /* DEC_INIT_DECIMAL64 -- select IEEE 754r defaults, 64-bit */ | |
87 | /* DEC_INIT_DECIMAL128 -- select IEEE 754r defaults, 128-bit */ | |
88 | /* For any other value a valid context is returned, but with */ | |
89 | /* Invalid_operation set in the status field. */ | |
90 | /* returns a context structure with the appropriate initial values. */ | |
91 | /* ------------------------------------------------------------------ */ | |
92 | decContext * decContextDefault(decContext *context, Int kind) { | |
93 | /* set defaults... */ | |
94 | context->digits=9; /* 9 digits */ | |
95 | context->emax=DEC_MAX_EMAX; /* 9-digit exponents */ | |
96 | context->emin=DEC_MIN_EMIN; /* .. balanced */ | |
97 | context->round=DEC_ROUND_HALF_UP; /* 0.5 rises */ | |
98 | context->traps=DEC_Errors; /* all but informational */ | |
99 | context->status=0; /* cleared */ | |
100 | context->clamp=0; /* no clamping */ | |
101 | #if DECSUBSET | |
102 | context->extended=0; /* cleared */ | |
103 | #endif | |
104 | switch (kind) { | |
105 | case DEC_INIT_BASE: | |
106 | /* [use defaults] */ | |
107 | break; | |
108 | case DEC_INIT_DECIMAL32: | |
109 | context->digits=7; /* digits */ | |
110 | context->emax=96; /* Emax */ | |
111 | context->emin=-95; /* Emin */ | |
112 | context->round=DEC_ROUND_HALF_EVEN; /* 0.5 to nearest even */ | |
113 | context->traps=0; /* no traps set */ | |
114 | context->clamp=1; /* clamp exponents */ | |
115 | #if DECSUBSET | |
116 | context->extended=1; /* set */ | |
117 | #endif | |
118 | break; | |
119 | case DEC_INIT_DECIMAL64: | |
120 | context->digits=16; /* digits */ | |
121 | context->emax=384; /* Emax */ | |
122 | context->emin=-383; /* Emin */ | |
123 | context->round=DEC_ROUND_HALF_EVEN; /* 0.5 to nearest even */ | |
124 | context->traps=0; /* no traps set */ | |
125 | context->clamp=1; /* clamp exponents */ | |
126 | #if DECSUBSET | |
127 | context->extended=1; /* set */ | |
128 | #endif | |
129 | break; | |
130 | case DEC_INIT_DECIMAL128: | |
131 | context->digits=34; /* digits */ | |
132 | context->emax=6144; /* Emax */ | |
133 | context->emin=-6143; /* Emin */ | |
134 | context->round=DEC_ROUND_HALF_EVEN; /* 0.5 to nearest even */ | |
135 | context->traps=0; /* no traps set */ | |
136 | context->clamp=1; /* clamp exponents */ | |
137 | #if DECSUBSET | |
138 | context->extended=1; /* set */ | |
139 | #endif | |
140 | break; | |
141 | ||
142 | default: /* invalid Kind */ | |
143 | /* use defaults, and .. */ | |
144 | decContextSetStatus(context, DEC_Invalid_operation); /* trap */ | |
145 | } | |
146 | ||
147 | #if DECCHECK | |
148 | if (LITEND!=DECLITEND) { | |
149 | const char *adj; | |
150 | if (LITEND) adj="little"; | |
151 | else adj="big"; | |
152 | printf("Warning: DECLITEND is set to %d, but this computer appears to be %s-endian\n", | |
153 | DECLITEND, adj); | |
154 | } | |
155 | #endif | |
156 | return context;} /* decContextDefault */ | |
157 | ||
158 | /* ------------------------------------------------------------------ */ | |
159 | /* decContextGetRounding -- return current rounding mode */ | |
160 | /* */ | |
161 | /* context is the context structure to be queried */ | |
162 | /* returns the rounding mode */ | |
163 | /* */ | |
164 | /* No error is possible. */ | |
165 | /* ------------------------------------------------------------------ */ | |
166 | enum rounding decContextGetRounding(decContext *context) { | |
167 | return context->round; | |
168 | } /* decContextGetRounding */ | |
169 | ||
170 | /* ------------------------------------------------------------------ */ | |
171 | /* decContextGetStatus -- return current status */ | |
172 | /* */ | |
173 | /* context is the context structure to be queried */ | |
174 | /* returns status */ | |
175 | /* */ | |
176 | /* No error is possible. */ | |
177 | /* ------------------------------------------------------------------ */ | |
178 | uInt decContextGetStatus(decContext *context) { | |
179 | return context->status; | |
180 | } /* decContextGetStatus */ | |
181 | ||
182 | /* ------------------------------------------------------------------ */ | |
183 | /* decContextRestoreStatus -- restore bits in current status */ | |
184 | /* */ | |
185 | /* context is the context structure to be updated */ | |
186 | /* newstatus is the source for the bits to be restored */ | |
187 | /* mask indicates the bits to be restored (the status bit that */ | |
188 | /* corresponds to each 1 bit in the mask is set to the value of */ | |
189 | /* the correspnding bit in newstatus) */ | |
190 | /* returns context */ | |
191 | /* */ | |
192 | /* No error is possible. */ | |
193 | /* ------------------------------------------------------------------ */ | |
194 | decContext *decContextRestoreStatus(decContext *context, | |
195 | uInt newstatus, uInt mask) { | |
196 | context->status&=~mask; /* clear the selected bits */ | |
197 | context->status|=(mask&newstatus); /* or in the new bits */ | |
198 | return context; | |
199 | } /* decContextRestoreStatus */ | |
200 | ||
201 | /* ------------------------------------------------------------------ */ | |
202 | /* decContextSaveStatus -- save bits in current status */ | |
203 | /* */ | |
204 | /* context is the context structure to be queried */ | |
205 | /* mask indicates the bits to be saved (the status bits that */ | |
206 | /* correspond to each 1 bit in the mask are saved) */ | |
207 | /* returns the AND of the mask and the current status */ | |
208 | /* */ | |
209 | /* No error is possible. */ | |
210 | /* ------------------------------------------------------------------ */ | |
211 | uInt decContextSaveStatus(decContext *context, uInt mask) { | |
212 | return context->status&mask; | |
213 | } /* decContextSaveStatus */ | |
214 | ||
215 | /* ------------------------------------------------------------------ */ | |
216 | /* decContextSetRounding -- set current rounding mode */ | |
217 | /* */ | |
218 | /* context is the context structure to be updated */ | |
219 | /* newround is the value which will replace the current mode */ | |
220 | /* returns context */ | |
221 | /* */ | |
222 | /* No error is possible. */ | |
223 | /* ------------------------------------------------------------------ */ | |
224 | decContext *decContextSetRounding(decContext *context, | |
225 | enum rounding newround) { | |
226 | context->round=newround; | |
227 | return context; | |
228 | } /* decContextSetRounding */ | |
229 | ||
230 | /* ------------------------------------------------------------------ */ | |
231 | /* decContextSetStatus -- set status and raise trap if appropriate */ | |
232 | /* */ | |
233 | /* context is the context structure to be updated */ | |
234 | /* status is the DEC_ exception code */ | |
235 | /* returns the context structure */ | |
236 | /* */ | |
237 | /* Control may never return from this routine, if there is a signal */ | |
238 | /* handler and it takes a long jump. */ | |
239 | /* ------------------------------------------------------------------ */ | |
240 | decContext * decContextSetStatus(decContext *context, uInt status) { | |
241 | context->status|=status; | |
242 | if (status & context->traps) raise(SIGFPE); | |
243 | return context;} /* decContextSetStatus */ | |
244 | ||
245 | /* ------------------------------------------------------------------ */ | |
246 | /* decContextSetStatusFromString -- set status from a string + trap */ | |
247 | /* */ | |
248 | /* context is the context structure to be updated */ | |
249 | /* string is a string exactly equal to one that might be returned */ | |
250 | /* by decContextStatusToString */ | |
251 | /* */ | |
252 | /* The status bit corresponding to the string is set, and a trap */ | |
253 | /* is raised if appropriate. */ | |
254 | /* */ | |
255 | /* returns the context structure, unless the string is equal to */ | |
256 | /* DEC_Condition_MU or is not recognized. In these cases NULL is */ | |
257 | /* returned. */ | |
258 | /* ------------------------------------------------------------------ */ | |
259 | decContext * decContextSetStatusFromString(decContext *context, | |
260 | const char *string) { | |
261 | if (strcmp(string, DEC_Condition_CS)==0) | |
262 | return decContextSetStatus(context, DEC_Conversion_syntax); | |
263 | if (strcmp(string, DEC_Condition_DZ)==0) | |
264 | return decContextSetStatus(context, DEC_Division_by_zero); | |
265 | if (strcmp(string, DEC_Condition_DI)==0) | |
266 | return decContextSetStatus(context, DEC_Division_impossible); | |
267 | if (strcmp(string, DEC_Condition_DU)==0) | |
268 | return decContextSetStatus(context, DEC_Division_undefined); | |
269 | if (strcmp(string, DEC_Condition_IE)==0) | |
270 | return decContextSetStatus(context, DEC_Inexact); | |
271 | if (strcmp(string, DEC_Condition_IS)==0) | |
272 | return decContextSetStatus(context, DEC_Insufficient_storage); | |
273 | if (strcmp(string, DEC_Condition_IC)==0) | |
274 | return decContextSetStatus(context, DEC_Invalid_context); | |
275 | if (strcmp(string, DEC_Condition_IO)==0) | |
276 | return decContextSetStatus(context, DEC_Invalid_operation); | |
277 | #if DECSUBSET | |
278 | if (strcmp(string, DEC_Condition_LD)==0) | |
279 | return decContextSetStatus(context, DEC_Lost_digits); | |
280 | #endif | |
281 | if (strcmp(string, DEC_Condition_OV)==0) | |
282 | return decContextSetStatus(context, DEC_Overflow); | |
283 | if (strcmp(string, DEC_Condition_PA)==0) | |
284 | return decContextSetStatus(context, DEC_Clamped); | |
285 | if (strcmp(string, DEC_Condition_RO)==0) | |
286 | return decContextSetStatus(context, DEC_Rounded); | |
287 | if (strcmp(string, DEC_Condition_SU)==0) | |
288 | return decContextSetStatus(context, DEC_Subnormal); | |
289 | if (strcmp(string, DEC_Condition_UN)==0) | |
290 | return decContextSetStatus(context, DEC_Underflow); | |
291 | if (strcmp(string, DEC_Condition_ZE)==0) | |
292 | return context; | |
293 | return NULL; /* Multiple status, or unknown */ | |
294 | } /* decContextSetStatusFromString */ | |
295 | ||
296 | /* ------------------------------------------------------------------ */ | |
297 | /* decContextSetStatusFromStringQuiet -- set status from a string */ | |
298 | /* */ | |
299 | /* context is the context structure to be updated */ | |
300 | /* string is a string exactly equal to one that might be returned */ | |
301 | /* by decContextStatusToString */ | |
302 | /* */ | |
303 | /* The status bit corresponding to the string is set; no trap is */ | |
304 | /* raised. */ | |
305 | /* */ | |
306 | /* returns the context structure, unless the string is equal to */ | |
307 | /* DEC_Condition_MU or is not recognized. In these cases NULL is */ | |
308 | /* returned. */ | |
309 | /* ------------------------------------------------------------------ */ | |
310 | decContext * decContextSetStatusFromStringQuiet(decContext *context, | |
311 | const char *string) { | |
312 | if (strcmp(string, DEC_Condition_CS)==0) | |
313 | return decContextSetStatusQuiet(context, DEC_Conversion_syntax); | |
314 | if (strcmp(string, DEC_Condition_DZ)==0) | |
315 | return decContextSetStatusQuiet(context, DEC_Division_by_zero); | |
316 | if (strcmp(string, DEC_Condition_DI)==0) | |
317 | return decContextSetStatusQuiet(context, DEC_Division_impossible); | |
318 | if (strcmp(string, DEC_Condition_DU)==0) | |
319 | return decContextSetStatusQuiet(context, DEC_Division_undefined); | |
320 | if (strcmp(string, DEC_Condition_IE)==0) | |
321 | return decContextSetStatusQuiet(context, DEC_Inexact); | |
322 | if (strcmp(string, DEC_Condition_IS)==0) | |
323 | return decContextSetStatusQuiet(context, DEC_Insufficient_storage); | |
324 | if (strcmp(string, DEC_Condition_IC)==0) | |
325 | return decContextSetStatusQuiet(context, DEC_Invalid_context); | |
326 | if (strcmp(string, DEC_Condition_IO)==0) | |
327 | return decContextSetStatusQuiet(context, DEC_Invalid_operation); | |
328 | #if DECSUBSET | |
329 | if (strcmp(string, DEC_Condition_LD)==0) | |
330 | return decContextSetStatusQuiet(context, DEC_Lost_digits); | |
331 | #endif | |
332 | if (strcmp(string, DEC_Condition_OV)==0) | |
333 | return decContextSetStatusQuiet(context, DEC_Overflow); | |
334 | if (strcmp(string, DEC_Condition_PA)==0) | |
335 | return decContextSetStatusQuiet(context, DEC_Clamped); | |
336 | if (strcmp(string, DEC_Condition_RO)==0) | |
337 | return decContextSetStatusQuiet(context, DEC_Rounded); | |
338 | if (strcmp(string, DEC_Condition_SU)==0) | |
339 | return decContextSetStatusQuiet(context, DEC_Subnormal); | |
340 | if (strcmp(string, DEC_Condition_UN)==0) | |
341 | return decContextSetStatusQuiet(context, DEC_Underflow); | |
342 | if (strcmp(string, DEC_Condition_ZE)==0) | |
343 | return context; | |
344 | return NULL; /* Multiple status, or unknown */ | |
345 | } /* decContextSetStatusFromStringQuiet */ | |
346 | ||
347 | /* ------------------------------------------------------------------ */ | |
348 | /* decContextSetStatusQuiet -- set status without trap */ | |
349 | /* */ | |
350 | /* context is the context structure to be updated */ | |
351 | /* status is the DEC_ exception code */ | |
352 | /* returns the context structure */ | |
353 | /* */ | |
354 | /* No error is possible. */ | |
355 | /* ------------------------------------------------------------------ */ | |
356 | decContext * decContextSetStatusQuiet(decContext *context, uInt status) { | |
357 | context->status|=status; | |
358 | return context;} /* decContextSetStatusQuiet */ | |
359 | ||
360 | /* ------------------------------------------------------------------ */ | |
361 | /* decContextStatusToString -- convert status flags to a string */ | |
362 | /* */ | |
363 | /* context is a context with valid status field */ | |
364 | /* */ | |
365 | /* returns a constant string describing the condition. If multiple */ | |
366 | /* (or no) flags are set, a generic constant message is returned. */ | |
367 | /* ------------------------------------------------------------------ */ | |
368 | const char *decContextStatusToString(const decContext *context) { | |
369 | Int status=context->status; | |
370 | ||
371 | /* test the five IEEE first, as some of the others are ambiguous when */ | |
372 | /* DECEXTFLAG=0 */ | |
373 | if (status==DEC_Invalid_operation ) return DEC_Condition_IO; | |
374 | if (status==DEC_Division_by_zero ) return DEC_Condition_DZ; | |
375 | if (status==DEC_Overflow ) return DEC_Condition_OV; | |
376 | if (status==DEC_Underflow ) return DEC_Condition_UN; | |
377 | if (status==DEC_Inexact ) return DEC_Condition_IE; | |
378 | ||
379 | if (status==DEC_Division_impossible ) return DEC_Condition_DI; | |
380 | if (status==DEC_Division_undefined ) return DEC_Condition_DU; | |
381 | if (status==DEC_Rounded ) return DEC_Condition_RO; | |
382 | if (status==DEC_Clamped ) return DEC_Condition_PA; | |
383 | if (status==DEC_Subnormal ) return DEC_Condition_SU; | |
384 | if (status==DEC_Conversion_syntax ) return DEC_Condition_CS; | |
385 | if (status==DEC_Insufficient_storage ) return DEC_Condition_IS; | |
386 | if (status==DEC_Invalid_context ) return DEC_Condition_IC; | |
387 | #if DECSUBSET | |
388 | if (status==DEC_Lost_digits ) return DEC_Condition_LD; | |
389 | #endif | |
390 | if (status==0 ) return DEC_Condition_ZE; | |
391 | return DEC_Condition_MU; /* Multiple errors */ | |
392 | } /* decContextStatusToString */ | |
393 | ||
394 | /* ------------------------------------------------------------------ */ | |
395 | /* decContextTestSavedStatus -- test bits in saved status */ | |
396 | /* */ | |
397 | /* oldstatus is the status word to be tested */ | |
398 | /* mask indicates the bits to be tested (the oldstatus bits that */ | |
399 | /* correspond to each 1 bit in the mask are tested) */ | |
400 | /* returns 1 if any of the tested bits are 1, or 0 otherwise */ | |
401 | /* */ | |
402 | /* No error is possible. */ | |
403 | /* ------------------------------------------------------------------ */ | |
404 | uInt decContextTestSavedStatus(uInt oldstatus, uInt mask) { | |
405 | return (oldstatus&mask)!=0; | |
406 | } /* decContextTestSavedStatus */ | |
407 | ||
408 | /* ------------------------------------------------------------------ */ | |
409 | /* decContextTestStatus -- test bits in current status */ | |
410 | /* */ | |
411 | /* context is the context structure to be updated */ | |
412 | /* mask indicates the bits to be tested (the status bits that */ | |
413 | /* correspond to each 1 bit in the mask are tested) */ | |
414 | /* returns 1 if any of the tested bits are 1, or 0 otherwise */ | |
415 | /* */ | |
416 | /* No error is possible. */ | |
417 | /* ------------------------------------------------------------------ */ | |
418 | uInt decContextTestStatus(decContext *context, uInt mask) { | |
419 | return (context->status&mask)!=0; | |
420 | } /* decContextTestStatus */ | |
421 | ||
422 | /* ------------------------------------------------------------------ */ | |
423 | /* decContextZeroStatus -- clear all status bits */ | |
424 | /* */ | |
425 | /* context is the context structure to be updated */ | |
426 | /* returns context */ | |
427 | /* */ | |
428 | /* No error is possible. */ | |
429 | /* ------------------------------------------------------------------ */ | |
430 | decContext *decContextZeroStatus(decContext *context) { | |
431 | context->status=0; | |
432 | return context; | |
433 | } /* decContextZeroStatus */ |