1/* ------------------------------------------------------------------ */
2/* Decimal Context module                                             */
3/* ------------------------------------------------------------------ */
4/* Copyright (c) IBM Corporation, 2000-2010.  All rights reserved.    */
5/*                                                                    */
6/* This software is made available under the terms of the             */
7/* ICU License -- ICU 1.8.1 and later.                                */
8/*                                                                    */
9/* The description and User's Guide ("The decNumber C Library") for   */
10/* this software is called decNumber.pdf.  This document is           */
11/* available, together with arithmetic and format specifications,     */
12/* testcases, and Web links, on the General Decimal Arithmetic page.  */
13/*                                                                    */
14/* Please send comments, suggestions, and corrections to the author:  */
15/*   mfc@uk.ibm.com                                                   */
16/*   Mike Cowlishaw, IBM Fellow                                       */
17/*   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         */
18/* ------------------------------------------------------------------ */
19/* This module comprises the routines for handling arithmetic         */
20/* context structures.                                                */
21/* ------------------------------------------------------------------ */
22
23#include <string.h>           /* for strcmp  */
24#include <stdio.h>            /* for printf if DECCHECK  */
25#include "decContext.h"       /* context and base types  */
26#include "decNumberLocal.h"   /* decNumber local types, etc.  */
27
28/* compile-time endian tester [assumes sizeof(Int)>1] */
29static  const  Int mfcone=1;                 /* constant 1  */
30static  const  Flag *mfctop=(Flag *)&mfcone; /* -> top byte  */
31#define LITEND *mfctop             /* named flag; 1=little-endian  */
32
33/* ------------------------------------------------------------------ */
34/* round-for-reround digits                                           */
35/* ------------------------------------------------------------------ */
36const uByte DECSTICKYTAB[10]={1,1,2,3,4,6,6,7,8,9}; /* used if sticky */
37
38/* ------------------------------------------------------------------ */
39/* Powers of ten (powers[n]==10**n, 0<=n<=9)                          */
40/* ------------------------------------------------------------------ */
41const uInt DECPOWERS[10]={1, 10, 100, 1000, 10000, 100000, 1000000,
42                          10000000, 100000000, 1000000000};
43
44/* ------------------------------------------------------------------ */
45/* decContextClearStatus -- clear bits in current status              */
46/*                                                                    */
47/*  context is the context structure to be queried                    */
48/*  mask indicates the bits to be cleared (the status bit that        */
49/*    corresponds to each 1 bit in the mask is cleared)               */
50/*  returns context                                                   */
51/*                                                                    */
52/* No error is possible.                                              */
53/* ------------------------------------------------------------------ */
54U_CAPI decContext * U_EXPORT2 uprv_decContextClearStatus(decContext *context, uInt mask) {
55  context->status&=~mask;
56  return context;
57  } /* decContextClearStatus  */
58
59/* ------------------------------------------------------------------ */
60/* decContextDefault -- initialize a context structure                */
61/*                                                                    */
62/*  context is the structure to be initialized                        */
63/*  kind selects the required set of default values, one of:          */
64/*      DEC_INIT_BASE       -- select ANSI X3-274 defaults            */
65/*      DEC_INIT_DECIMAL32  -- select IEEE 754 defaults, 32-bit       */
66/*      DEC_INIT_DECIMAL64  -- select IEEE 754 defaults, 64-bit       */
67/*      DEC_INIT_DECIMAL128 -- select IEEE 754 defaults, 128-bit      */
68/*      For any other value a valid context is returned, but with     */
69/*      Invalid_operation set in the status field.                    */
70/*  returns a context structure with the appropriate initial values.  */
71/* ------------------------------------------------------------------ */
72U_CAPI decContext *  U_EXPORT2 uprv_decContextDefault(decContext *context, Int kind) {
73  /* set defaults...  */
74  context->digits=9;                         /* 9 digits  */
75  context->emax=DEC_MAX_EMAX;                /* 9-digit exponents  */
76  context->emin=DEC_MIN_EMIN;                /* .. balanced  */
77  context->round=DEC_ROUND_HALF_UP;          /* 0.5 rises  */
78  context->traps=DEC_Errors;                 /* all but informational  */
79  context->status=0;                         /* cleared  */
80  context->clamp=0;                          /* no clamping  */
81  #if DECSUBSET
82  context->extended=0;                       /* cleared  */
83  #endif
84  switch (kind) {
85    case DEC_INIT_BASE:
86      /* [use defaults]  */
87      break;
88    case DEC_INIT_DECIMAL32:
89      context->digits=7;                     /* digits  */
90      context->emax=96;                      /* Emax  */
91      context->emin=-95;                     /* Emin  */
92      context->round=DEC_ROUND_HALF_EVEN;    /* 0.5 to nearest even  */
93      context->traps=0;                      /* no traps set  */
94      context->clamp=1;                      /* clamp exponents  */
95      #if DECSUBSET
96      context->extended=1;                   /* set  */
97      #endif
98      break;
99    case DEC_INIT_DECIMAL64:
100      context->digits=16;                    /* digits  */
101      context->emax=384;                     /* Emax  */
102      context->emin=-383;                    /* Emin  */
103      context->round=DEC_ROUND_HALF_EVEN;    /* 0.5 to nearest even  */
104      context->traps=0;                      /* no traps set  */
105      context->clamp=1;                      /* clamp exponents  */
106      #if DECSUBSET
107      context->extended=1;                   /* set  */
108      #endif
109      break;
110    case DEC_INIT_DECIMAL128:
111      context->digits=34;                    /* digits  */
112      context->emax=6144;                    /* Emax  */
113      context->emin=-6143;                   /* Emin  */
114      context->round=DEC_ROUND_HALF_EVEN;    /* 0.5 to nearest even  */
115      context->traps=0;                      /* no traps set  */
116      context->clamp=1;                      /* clamp exponents  */
117      #if DECSUBSET
118      context->extended=1;                   /* set  */
119      #endif
120      break;
121
122    default:                                 /* invalid Kind  */
123      /* use defaults, and ..  */
124      uprv_decContextSetStatus(context, DEC_Invalid_operation); /* trap  */
125    }
126
127  return context;} /* decContextDefault  */
128
129/* ------------------------------------------------------------------ */
130/* decContextGetRounding -- return current rounding mode              */
131/*                                                                    */
132/*  context is the context structure to be queried                    */
133/*  returns the rounding mode                                         */
134/*                                                                    */
135/* No error is possible.                                              */
136/* ------------------------------------------------------------------ */
137U_CAPI enum rounding  U_EXPORT2 uprv_decContextGetRounding(decContext *context) {
138  return context->round;
139  } /* decContextGetRounding  */
140
141/* ------------------------------------------------------------------ */
142/* decContextGetStatus -- return current status                       */
143/*                                                                    */
144/*  context is the context structure to be queried                    */
145/*  returns status                                                    */
146/*                                                                    */
147/* No error is possible.                                              */
148/* ------------------------------------------------------------------ */
149U_CAPI uInt  U_EXPORT2 uprv_decContextGetStatus(decContext *context) {
150  return context->status;
151  } /* decContextGetStatus  */
152
153/* ------------------------------------------------------------------ */
154/* decContextRestoreStatus -- restore bits in current status          */
155/*                                                                    */
156/*  context is the context structure to be updated                    */
157/*  newstatus is the source for the bits to be restored               */
158/*  mask indicates the bits to be restored (the status bit that       */
159/*    corresponds to each 1 bit in the mask is set to the value of    */
160/*    the correspnding bit in newstatus)                              */
161/*  returns context                                                   */
162/*                                                                    */
163/* No error is possible.                                              */
164/* ------------------------------------------------------------------ */
165U_CAPI decContext * U_EXPORT2 uprv_decContextRestoreStatus(decContext *context,
166                                    uInt newstatus, uInt mask) {
167  context->status&=~mask;               /* clear the selected bits  */
168  context->status|=(mask&newstatus);    /* or in the new bits  */
169  return context;
170  } /* decContextRestoreStatus  */
171
172/* ------------------------------------------------------------------ */
173/* decContextSaveStatus -- save bits in current status                */
174/*                                                                    */
175/*  context is the context structure to be queried                    */
176/*  mask indicates the bits to be saved (the status bits that         */
177/*    correspond to each 1 bit in the mask are saved)                 */
178/*  returns the AND of the mask and the current status                */
179/*                                                                    */
180/* No error is possible.                                              */
181/* ------------------------------------------------------------------ */
182U_CAPI uInt  U_EXPORT2 uprv_decContextSaveStatus(decContext *context, uInt mask) {
183  return context->status&mask;
184  } /* decContextSaveStatus  */
185
186/* ------------------------------------------------------------------ */
187/* decContextSetRounding -- set current rounding mode                 */
188/*                                                                    */
189/*  context is the context structure to be updated                    */
190/*  newround is the value which will replace the current mode         */
191/*  returns context                                                   */
192/*                                                                    */
193/* No error is possible.                                              */
194/* ------------------------------------------------------------------ */
195U_CAPI decContext * U_EXPORT2 uprv_decContextSetRounding(decContext *context,
196                                  enum rounding newround) {
197  context->round=newround;
198  return context;
199  } /* decContextSetRounding  */
200
201/* ------------------------------------------------------------------ */
202/* decContextSetStatus -- set status and raise trap if appropriate    */
203/*                                                                    */
204/*  context is the context structure to be updated                    */
205/*  status  is the DEC_ exception code                                */
206/*  returns the context structure                                     */
207/*                                                                    */
208/* Control may never return from this routine, if there is a signal   */
209/* handler and it takes a long jump.                                  */
210/* ------------------------------------------------------------------ */
211U_CAPI decContext *  U_EXPORT2 uprv_decContextSetStatus(decContext *context, uInt status) {
212  context->status|=status;
213  if (status & context->traps) raise(SIGFPE);
214  return context;} /* decContextSetStatus  */
215
216/* ------------------------------------------------------------------ */
217/* decContextSetStatusFromString -- set status from a string + trap   */
218/*                                                                    */
219/*  context is the context structure to be updated                    */
220/*  string is a string exactly equal to one that might be returned    */
221/*            by decContextStatusToString                             */
222/*                                                                    */
223/*  The status bit corresponding to the string is set, and a trap     */
224/*  is raised if appropriate.                                         */
225/*                                                                    */
226/*  returns the context structure, unless the string is equal to      */
227/*    DEC_Condition_MU or is not recognized.  In these cases NULL is  */
228/*    returned.                                                       */
229/* ------------------------------------------------------------------ */
230U_CAPI decContext *  U_EXPORT2 uprv_decContextSetStatusFromString(decContext *context,
231                                           const char *string) {
232  if (strcmp(string, DEC_Condition_CS)==0)
233    return uprv_decContextSetStatus(context, DEC_Conversion_syntax);
234  if (strcmp(string, DEC_Condition_DZ)==0)
235    return uprv_decContextSetStatus(context, DEC_Division_by_zero);
236  if (strcmp(string, DEC_Condition_DI)==0)
237    return uprv_decContextSetStatus(context, DEC_Division_impossible);
238  if (strcmp(string, DEC_Condition_DU)==0)
239    return uprv_decContextSetStatus(context, DEC_Division_undefined);
240  if (strcmp(string, DEC_Condition_IE)==0)
241    return uprv_decContextSetStatus(context, DEC_Inexact);
242  if (strcmp(string, DEC_Condition_IS)==0)
243    return uprv_decContextSetStatus(context, DEC_Insufficient_storage);
244  if (strcmp(string, DEC_Condition_IC)==0)
245    return uprv_decContextSetStatus(context, DEC_Invalid_context);
246  if (strcmp(string, DEC_Condition_IO)==0)
247    return uprv_decContextSetStatus(context, DEC_Invalid_operation);
248  #if DECSUBSET
249  if (strcmp(string, DEC_Condition_LD)==0)
250    return uprv_decContextSetStatus(context, DEC_Lost_digits);
251  #endif
252  if (strcmp(string, DEC_Condition_OV)==0)
253    return uprv_decContextSetStatus(context, DEC_Overflow);
254  if (strcmp(string, DEC_Condition_PA)==0)
255    return uprv_decContextSetStatus(context, DEC_Clamped);
256  if (strcmp(string, DEC_Condition_RO)==0)
257    return uprv_decContextSetStatus(context, DEC_Rounded);
258  if (strcmp(string, DEC_Condition_SU)==0)
259    return uprv_decContextSetStatus(context, DEC_Subnormal);
260  if (strcmp(string, DEC_Condition_UN)==0)
261    return uprv_decContextSetStatus(context, DEC_Underflow);
262  if (strcmp(string, DEC_Condition_ZE)==0)
263    return context;
264  return NULL;  /* Multiple status, or unknown  */
265  } /* decContextSetStatusFromString  */
266
267/* ------------------------------------------------------------------ */
268/* decContextSetStatusFromStringQuiet -- set status from a string     */
269/*                                                                    */
270/*  context is the context structure to be updated                    */
271/*  string is a string exactly equal to one that might be returned    */
272/*            by decContextStatusToString                             */
273/*                                                                    */
274/*  The status bit corresponding to the string is set; no trap is     */
275/*  raised.                                                           */
276/*                                                                    */
277/*  returns the context structure, unless the string is equal to      */
278/*    DEC_Condition_MU or is not recognized.  In these cases NULL is  */
279/*    returned.                                                       */
280/* ------------------------------------------------------------------ */
281U_CAPI decContext *  U_EXPORT2 uprv_decContextSetStatusFromStringQuiet(decContext *context,
282                                                const char *string) {
283  if (strcmp(string, DEC_Condition_CS)==0)
284    return uprv_decContextSetStatusQuiet(context, DEC_Conversion_syntax);
285  if (strcmp(string, DEC_Condition_DZ)==0)
286    return uprv_decContextSetStatusQuiet(context, DEC_Division_by_zero);
287  if (strcmp(string, DEC_Condition_DI)==0)
288    return uprv_decContextSetStatusQuiet(context, DEC_Division_impossible);
289  if (strcmp(string, DEC_Condition_DU)==0)
290    return uprv_decContextSetStatusQuiet(context, DEC_Division_undefined);
291  if (strcmp(string, DEC_Condition_IE)==0)
292    return uprv_decContextSetStatusQuiet(context, DEC_Inexact);
293  if (strcmp(string, DEC_Condition_IS)==0)
294    return uprv_decContextSetStatusQuiet(context, DEC_Insufficient_storage);
295  if (strcmp(string, DEC_Condition_IC)==0)
296    return uprv_decContextSetStatusQuiet(context, DEC_Invalid_context);
297  if (strcmp(string, DEC_Condition_IO)==0)
298    return uprv_decContextSetStatusQuiet(context, DEC_Invalid_operation);
299  #if DECSUBSET
300  if (strcmp(string, DEC_Condition_LD)==0)
301    return uprv_decContextSetStatusQuiet(context, DEC_Lost_digits);
302  #endif
303  if (strcmp(string, DEC_Condition_OV)==0)
304    return uprv_decContextSetStatusQuiet(context, DEC_Overflow);
305  if (strcmp(string, DEC_Condition_PA)==0)
306    return uprv_decContextSetStatusQuiet(context, DEC_Clamped);
307  if (strcmp(string, DEC_Condition_RO)==0)
308    return uprv_decContextSetStatusQuiet(context, DEC_Rounded);
309  if (strcmp(string, DEC_Condition_SU)==0)
310    return uprv_decContextSetStatusQuiet(context, DEC_Subnormal);
311  if (strcmp(string, DEC_Condition_UN)==0)
312    return uprv_decContextSetStatusQuiet(context, DEC_Underflow);
313  if (strcmp(string, DEC_Condition_ZE)==0)
314    return context;
315  return NULL;  /* Multiple status, or unknown  */
316  } /* decContextSetStatusFromStringQuiet  */
317
318/* ------------------------------------------------------------------ */
319/* decContextSetStatusQuiet -- set status without trap                */
320/*                                                                    */
321/*  context is the context structure to be updated                    */
322/*  status  is the DEC_ exception code                                */
323/*  returns the context structure                                     */
324/*                                                                    */
325/* No error is possible.                                              */
326/* ------------------------------------------------------------------ */
327U_CAPI decContext *  U_EXPORT2 uprv_decContextSetStatusQuiet(decContext *context, uInt status) {
328  context->status|=status;
329  return context;} /* decContextSetStatusQuiet  */
330
331/* ------------------------------------------------------------------ */
332/* decContextStatusToString -- convert status flags to a string       */
333/*                                                                    */
334/*  context is a context with valid status field                      */
335/*                                                                    */
336/*  returns a constant string describing the condition.  If multiple  */
337/*    (or no) flags are set, a generic constant message is returned.  */
338/* ------------------------------------------------------------------ */
339U_CAPI const char * U_EXPORT2 uprv_decContextStatusToString(const decContext *context) {
340  Int status=context->status;
341
342  /* test the five IEEE first, as some of the others are ambiguous when  */
343  /* DECEXTFLAG=0  */
344  if (status==DEC_Invalid_operation    ) return DEC_Condition_IO;
345  if (status==DEC_Division_by_zero     ) return DEC_Condition_DZ;
346  if (status==DEC_Overflow             ) return DEC_Condition_OV;
347  if (status==DEC_Underflow            ) return DEC_Condition_UN;
348  if (status==DEC_Inexact              ) return DEC_Condition_IE;
349
350  if (status==DEC_Division_impossible  ) return DEC_Condition_DI;
351  if (status==DEC_Division_undefined   ) return DEC_Condition_DU;
352  if (status==DEC_Rounded              ) return DEC_Condition_RO;
353  if (status==DEC_Clamped              ) return DEC_Condition_PA;
354  if (status==DEC_Subnormal            ) return DEC_Condition_SU;
355  if (status==DEC_Conversion_syntax    ) return DEC_Condition_CS;
356  if (status==DEC_Insufficient_storage ) return DEC_Condition_IS;
357  if (status==DEC_Invalid_context      ) return DEC_Condition_IC;
358  #if DECSUBSET
359  if (status==DEC_Lost_digits          ) return DEC_Condition_LD;
360  #endif
361  if (status==0                        ) return DEC_Condition_ZE;
362  return DEC_Condition_MU;  /* Multiple errors  */
363  } /* decContextStatusToString  */
364
365/* ------------------------------------------------------------------ */
366/* decContextTestEndian -- test whether DECLITEND is set correctly    */
367/*                                                                    */
368/*  quiet is 1 to suppress message; 0 otherwise                       */
369/*  returns 0 if DECLITEND is correct                                 */
370/*          1 if DECLITEND is incorrect and should be 1               */
371/*         -1 if DECLITEND is incorrect and should be 0               */
372/*                                                                    */
373/* A message is displayed if the return value is not 0 and quiet==0.  */
374/*                                                                    */
375/* No error is possible.                                              */
376/* ------------------------------------------------------------------ */
377U_CAPI Int  U_EXPORT2 uprv_decContextTestEndian(Flag quiet) {
378  Int res=0;                  /* optimist  */
379  uInt dle=(uInt)DECLITEND;   /* unsign  */
380  if (dle>1) dle=1;           /* ensure 0 or 1  */
381
382  if (LITEND!=DECLITEND) {
383    const char *adj;
384    if (!quiet) {
385      if (LITEND) adj="little";
386             else adj="big";
387      printf("Warning: DECLITEND is set to %d, but this computer appears to be %s-endian\n",
388             DECLITEND, adj);
389      }
390    res=(Int)LITEND-dle;
391    }
392  return res;
393  } /* decContextTestEndian  */
394
395/* ------------------------------------------------------------------ */
396/* decContextTestSavedStatus -- test bits in saved status             */
397/*                                                                    */
398/*  oldstatus is the status word to be tested                         */
399/*  mask indicates the bits to be tested (the oldstatus bits that     */
400/*    correspond to each 1 bit in the mask are tested)                */
401/*  returns 1 if any of the tested bits are 1, or 0 otherwise         */
402/*                                                                    */
403/* No error is possible.                                              */
404/* ------------------------------------------------------------------ */
405U_CAPI  uInt U_EXPORT2 uprv_decContextTestSavedStatus(uInt oldstatus, uInt mask) {
406  return (oldstatus&mask)!=0;
407  } /* decContextTestSavedStatus  */
408
409/* ------------------------------------------------------------------ */
410/* decContextTestStatus -- test bits in current status                */
411/*                                                                    */
412/*  context is the context structure to be updated                    */
413/*  mask indicates the bits to be tested (the status bits that        */
414/*    correspond to each 1 bit in the mask are tested)                */
415/*  returns 1 if any of the tested bits are 1, or 0 otherwise         */
416/*                                                                    */
417/* No error is possible.                                              */
418/* ------------------------------------------------------------------ */
419U_CAPI uInt  U_EXPORT2 uprv_decContextTestStatus(decContext *context, uInt mask) {
420  return (context->status&mask)!=0;
421  } /* decContextTestStatus  */
422
423/* ------------------------------------------------------------------ */
424/* decContextZeroStatus -- clear all status bits                      */
425/*                                                                    */
426/*  context is the context structure to be updated                    */
427/*  returns context                                                   */
428/*                                                                    */
429/* No error is possible.                                              */
430/* ------------------------------------------------------------------ */
431U_CAPI decContext * U_EXPORT2 uprv_decContextZeroStatus(decContext *context) {
432  context->status=0;
433  return context;
434  } /* decContextZeroStatus  */
435
436