/* ------------------------------------------------------------------ */
/* Decimal Context module */
/* ------------------------------------------------------------------ */
/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */
/* */
/* This software is made available under the terms of the */
/* ICU License -- ICU 1.8.1 and later. */
/* */
/* The description and User's Guide ("The decNumber C Library") for */
/* this software is called decNumber.pdf. This document is */
/* available, together with arithmetic and format specifications, */
/* testcases, and Web links, on the General Decimal Arithmetic page. */
/* */
/* Please send comments, suggestions, and corrections to the author: */
/* mfc@uk.ibm.com */
/* Mike Cowlishaw, IBM Fellow */
/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
/* ------------------------------------------------------------------ */
/* This module comprises the routines for handling arithmetic */
/* context structures. */
/* ------------------------------------------------------------------ */
#include <string.h> // for strcmp
#include <stdio.h> // for printf if DECCHECK
#include "decContext.h" // context and base types
#include "decNumberLocal.h" // decNumber local types, etc.
/* compile-time endian tester [assumes sizeof(Int)>1] */
static
const
Int mfcone=1;
// constant 1
static
const
Flag *mfctop=(
const
Flag *)&mfcone;
// -> top byte
#define LITEND *mfctop // named flag; 1=little-endian
/* ------------------------------------------------------------------ */
/* round-for-reround digits */
/* ------------------------------------------------------------------ */
const
uByte DECSTICKYTAB[10]={1,1,2,3,4,6,6,7,8,9};
/* used if sticky */
/* ------------------------------------------------------------------ */
/* Powers of ten (powers[n]==10**n, 0<=n<=9) */
/* ------------------------------------------------------------------ */
const
uInt DECPOWERS[10]={1, 10, 100, 1000, 10000, 100000, 1000000,
10000000, 100000000, 1000000000};
/* ------------------------------------------------------------------ */
/* decContextClearStatus -- clear bits in current status */
/* */
/* context is the context structure to be queried */
/* mask indicates the bits to be cleared (the status bit that */
/* corresponds to each 1 bit in the mask is cleared) */
/* returns context */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decContext *decContextClearStatus(decContext *context, uInt mask) {
context->status&=~mask;
return
context;
}
// decContextClearStatus
/* ------------------------------------------------------------------ */
/* decContextDefault -- initialize a context structure */
/* */
/* context is the structure to be initialized */
/* kind selects the required set of default values, one of: */
/* DEC_INIT_BASE -- select ANSI X3-274 defaults */
/* DEC_INIT_DECIMAL32 -- select IEEE 754 defaults, 32-bit */
/* DEC_INIT_DECIMAL64 -- select IEEE 754 defaults, 64-bit */
/* DEC_INIT_DECIMAL128 -- select IEEE 754 defaults, 128-bit */
/* For any other value a valid context is returned, but with */
/* Invalid_operation set in the status field. */
/* returns a context structure with the appropriate initial values. */
/* ------------------------------------------------------------------ */
decContext * decContextDefault(decContext *context, Int kind) {
// set defaults...
context->digits=9;
// 9 digits
context->emax=DEC_MAX_EMAX;
// 9-digit exponents
context->emin=DEC_MIN_EMIN;
// .. balanced
context->round=DEC_ROUND_HALF_UP;
// 0.5 rises
context->traps=DEC_Errors;
// all but informational
context->status=0;
// cleared
context->clamp=0;
// no clamping
#if DECSUBSET
context->extended=0;
// cleared
#endif
switch
(kind) {
case
DEC_INIT_BASE:
// [use defaults]
break
;
case
DEC_INIT_DECIMAL32:
context->digits=7;
// digits
context->emax=96;
// Emax
context->emin=-95;
// Emin
context->round=DEC_ROUND_HALF_EVEN;
// 0.5 to nearest even
context->traps=0;
// no traps set
context->clamp=1;
// clamp exponents
#if DECSUBSET
context->extended=1;
// set
#endif
break
;
case
DEC_INIT_DECIMAL64:
context->digits=16;
// digits
context->emax=384;
// Emax
context->emin=-383;
// Emin
context->round=DEC_ROUND_HALF_EVEN;
// 0.5 to nearest even
context->traps=0;
// no traps set
context->clamp=1;
// clamp exponents
#if DECSUBSET
context->extended=1;
// set
#endif
break
;
case
DEC_INIT_DECIMAL128:
context->digits=34;
// digits
context->emax=6144;
// Emax
context->emin=-6143;
// Emin
context->round=DEC_ROUND_HALF_EVEN;
// 0.5 to nearest even
context->traps=0;
// no traps set
context->clamp=1;
// clamp exponents
#if DECSUBSET
context->extended=1;
// set
#endif
break
;
default
:
// invalid Kind
// use defaults, and ..
decContextSetStatus(context, DEC_Invalid_operation);
// trap
}
return
context;}
// decContextDefault
/* ------------------------------------------------------------------ */
/* decContextGetRounding -- return current rounding mode */
/* */
/* context is the context structure to be queried */
/* returns the rounding mode */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
enum
rounding decContextGetRounding(decContext *context) {
return
context->round;
}
// decContextGetRounding
/* ------------------------------------------------------------------ */
/* decContextGetStatus -- return current status */
/* */
/* context is the context structure to be queried */
/* returns status */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uInt decContextGetStatus(decContext *context) {
return
context->status;
}
// decContextGetStatus
/* ------------------------------------------------------------------ */
/* decContextRestoreStatus -- restore bits in current status */
/* */
/* context is the context structure to be updated */
/* newstatus is the source for the bits to be restored */
/* mask indicates the bits to be restored (the status bit that */
/* corresponds to each 1 bit in the mask is set to the value of */
/* the correspnding bit in newstatus) */
/* returns context */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decContext *decContextRestoreStatus(decContext *context,
uInt newstatus, uInt mask) {
context->status&=~mask;
// clear the selected bits
context->status|=(mask&newstatus);
// or in the new bits
return
context;
}
// decContextRestoreStatus
/* ------------------------------------------------------------------ */
/* decContextSaveStatus -- save bits in current status */
/* */
/* context is the context structure to be queried */
/* mask indicates the bits to be saved (the status bits that */
/* correspond to each 1 bit in the mask are saved) */
/* returns the AND of the mask and the current status */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uInt decContextSaveStatus(decContext *context, uInt mask) {
return
context->status&mask;
}
// decContextSaveStatus
/* ------------------------------------------------------------------ */
/* decContextSetRounding -- set current rounding mode */
/* */
/* context is the context structure to be updated */
/* newround is the value which will replace the current mode */
/* returns context */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decContext *decContextSetRounding(decContext *context,
enum
rounding newround) {
context->round=newround;
return
context;
}
// decContextSetRounding
/* ------------------------------------------------------------------ */
/* decContextSetStatus -- set status and raise trap if appropriate */
/* */
/* context is the context structure to be updated */
/* status is the DEC_ exception code */
/* returns the context structure */
/* */
/* Control may never return from this routine, if there is a signal */
/* handler and it takes a long jump. */
/* ------------------------------------------------------------------ */
decContext * decContextSetStatus(decContext *context, uInt status) {
context->status|=status;
if
(status & context->traps)
raise
(SIGFPE);
return
context;}
// decContextSetStatus
/* ------------------------------------------------------------------ */
/* decContextSetStatusFromString -- set status from a string + trap */
/* */
/* context is the context structure to be updated */
/* string is a string exactly equal to one that might be returned */
/* by decContextStatusToString */
/* */
/* The status bit corresponding to the string is set, and a trap */
/* is raised if appropriate. */
/* */
/* returns the context structure, unless the string is equal to */
/* DEC_Condition_MU or is not recognized. In these cases NULL is */
/* returned. */
/* ------------------------------------------------------------------ */
decContext * decContextSetStatusFromString(decContext *context,
const
char
*string) {
if
(
strcmp
(string, DEC_Condition_CS)==0)
return
decContextSetStatus(context, DEC_Conversion_syntax);
if
(
strcmp
(string, DEC_Condition_DZ)==0)
return
decContextSetStatus(context, DEC_Division_by_zero);
if
(
strcmp
(string, DEC_Condition_DI)==0)
return
decContextSetStatus(context, DEC_Division_impossible);
if
(
strcmp
(string, DEC_Condition_DU)==0)
return
decContextSetStatus(context, DEC_Division_undefined);
if
(
strcmp
(string, DEC_Condition_IE)==0)
return
decContextSetStatus(context, DEC_Inexact);
if
(
strcmp
(string, DEC_Condition_IS)==0)
return
decContextSetStatus(context, DEC_Insufficient_storage);
if
(
strcmp
(string, DEC_Condition_IC)==0)
return
decContextSetStatus(context, DEC_Invalid_context);
if
(
strcmp
(string, DEC_Condition_IO)==0)
return
decContextSetStatus(context, DEC_Invalid_operation);
#if DECSUBSET
if
(
strcmp
(string, DEC_Condition_LD)==0)
return
decContextSetStatus(context, DEC_Lost_digits);
#endif
if
(
strcmp
(string, DEC_Condition_OV)==0)
return
decContextSetStatus(context, DEC_Overflow);
if
(
strcmp
(string, DEC_Condition_PA)==0)
return
decContextSetStatus(context, DEC_Clamped);
if
(
strcmp
(string, DEC_Condition_RO)==0)
return
decContextSetStatus(context, DEC_Rounded);
if
(
strcmp
(string, DEC_Condition_SU)==0)
return
decContextSetStatus(context, DEC_Subnormal);
if
(
strcmp
(string, DEC_Condition_UN)==0)
return
decContextSetStatus(context, DEC_Underflow);
if
(
strcmp
(string, DEC_Condition_ZE)==0)
return
context;
return
NULL;
// Multiple status, or unknown
}
// decContextSetStatusFromString
/* ------------------------------------------------------------------ */
/* decContextSetStatusFromStringQuiet -- set status from a string */
/* */
/* context is the context structure to be updated */
/* string is a string exactly equal to one that might be returned */
/* by decContextStatusToString */
/* */
/* The status bit corresponding to the string is set; no trap is */
/* raised. */
/* */
/* returns the context structure, unless the string is equal to */
/* DEC_Condition_MU or is not recognized. In these cases NULL is */
/* returned. */
/* ------------------------------------------------------------------ */
decContext * decContextSetStatusFromStringQuiet(decContext *context,
const
char
*string) {
if
(
strcmp
(string, DEC_Condition_CS)==0)
return
decContextSetStatusQuiet(context, DEC_Conversion_syntax);
if
(
strcmp
(string, DEC_Condition_DZ)==0)
return
decContextSetStatusQuiet(context, DEC_Division_by_zero);
if
(
strcmp
(string, DEC_Condition_DI)==0)
return
decContextSetStatusQuiet(context, DEC_Division_impossible);
if
(
strcmp
(string, DEC_Condition_DU)==0)
return
decContextSetStatusQuiet(context, DEC_Division_undefined);
if
(
strcmp
(string, DEC_Condition_IE)==0)
return
decContextSetStatusQuiet(context, DEC_Inexact);
if
(
strcmp
(string, DEC_Condition_IS)==0)
return
decContextSetStatusQuiet(context, DEC_Insufficient_storage);
if
(
strcmp
(string, DEC_Condition_IC)==0)
return
decContextSetStatusQuiet(context, DEC_Invalid_context);
if
(
strcmp
(string, DEC_Condition_IO)==0)
return
decContextSetStatusQuiet(context, DEC_Invalid_operation);
#if DECSUBSET
if
(
strcmp
(string, DEC_Condition_LD)==0)
return
decContextSetStatusQuiet(context, DEC_Lost_digits);
#endif
if
(
strcmp
(string, DEC_Condition_OV)==0)
return
decContextSetStatusQuiet(context, DEC_Overflow);
if
(
strcmp
(string, DEC_Condition_PA)==0)
return
decContextSetStatusQuiet(context, DEC_Clamped);
if
(
strcmp
(string, DEC_Condition_RO)==0)
return
decContextSetStatusQuiet(context, DEC_Rounded);
if
(
strcmp
(string, DEC_Condition_SU)==0)
return
decContextSetStatusQuiet(context, DEC_Subnormal);
if
(
strcmp
(string, DEC_Condition_UN)==0)
return
decContextSetStatusQuiet(context, DEC_Underflow);
if
(
strcmp
(string, DEC_Condition_ZE)==0)
return
context;
return
NULL;
// Multiple status, or unknown
}
// decContextSetStatusFromStringQuiet
/* ------------------------------------------------------------------ */
/* decContextSetStatusQuiet -- set status without trap */
/* */
/* context is the context structure to be updated */
/* status is the DEC_ exception code */
/* returns the context structure */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decContext * decContextSetStatusQuiet(decContext *context, uInt status) {
context->status|=status;
return
context;}
// decContextSetStatusQuiet
/* ------------------------------------------------------------------ */
/* decContextStatusToString -- convert status flags to a string */
/* */
/* context is a context with valid status field */
/* */
/* returns a constant string describing the condition. If multiple */
/* (or no) flags are set, a generic constant message is returned. */
/* ------------------------------------------------------------------ */
const
char
*decContextStatusToString(
const
decContext *context) {
Int status=context->status;
// test the five IEEE first, as some of the others are ambiguous when
// DECEXTFLAG=0
if
(status==DEC_Invalid_operation )
return
DEC_Condition_IO;
if
(status==DEC_Division_by_zero )
return
DEC_Condition_DZ;
if
(status==DEC_Overflow )
return
DEC_Condition_OV;
if
(status==DEC_Underflow )
return
DEC_Condition_UN;
if
(status==DEC_Inexact )
return
DEC_Condition_IE;
if
(status==DEC_Division_impossible )
return
DEC_Condition_DI;
if
(status==DEC_Division_undefined )
return
DEC_Condition_DU;
if
(status==DEC_Rounded )
return
DEC_Condition_RO;
if
(status==DEC_Clamped )
return
DEC_Condition_PA;
if
(status==DEC_Subnormal )
return
DEC_Condition_SU;
if
(status==DEC_Conversion_syntax )
return
DEC_Condition_CS;
if
(status==DEC_Insufficient_storage )
return
DEC_Condition_IS;
if
(status==DEC_Invalid_context )
return
DEC_Condition_IC;
#if DECSUBSET
if
(status==DEC_Lost_digits )
return
DEC_Condition_LD;
#endif
if
(status==0 )
return
DEC_Condition_ZE;
return
DEC_Condition_MU;
// Multiple errors
}
// decContextStatusToString
/* ------------------------------------------------------------------ */
/* decContextTestEndian -- test whether DECLITEND is set correctly */
/* */
/* quiet is 1 to suppress message; 0 otherwise */
/* returns 0 if DECLITEND is correct */
/* 1 if DECLITEND is incorrect and should be 1 */
/* -1 if DECLITEND is incorrect and should be 0 */
/* */
/* A message is displayed if the return value is not 0 and quiet==0. */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
Int decContextTestEndian(Flag quiet) {
Int res=0;
// optimist
uInt dle=(uInt)DECLITEND;
// unsign
if
(dle>1) dle=1;
// ensure 0 or 1
if
(LITEND!=DECLITEND) {
if
(!quiet) {
// always refer to this
#if DECPRINT
const
char
*adj;
if
(LITEND) adj=
"little"
;
else
adj=
"big"
;
printf
(
"Warning: DECLITEND is set to %d, but this computer appears to be %s-endian\n"
,
DECLITEND, adj);
#endif
}
res=(Int)LITEND-dle;
}
return
res;
}
// decContextTestEndian
/* ------------------------------------------------------------------ */
/* decContextTestSavedStatus -- test bits in saved status */
/* */
/* oldstatus is the status word to be tested */
/* mask indicates the bits to be tested (the oldstatus bits that */
/* correspond to each 1 bit in the mask are tested) */
/* returns 1 if any of the tested bits are 1, or 0 otherwise */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uInt decContextTestSavedStatus(uInt oldstatus, uInt mask) {
return
(oldstatus&mask)!=0;
}
// decContextTestSavedStatus
/* ------------------------------------------------------------------ */
/* decContextTestStatus -- test bits in current status */
/* */
/* context is the context structure to be updated */
/* mask indicates the bits to be tested (the status bits that */
/* correspond to each 1 bit in the mask are tested) */
/* returns 1 if any of the tested bits are 1, or 0 otherwise */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uInt decContextTestStatus(decContext *context, uInt mask) {
return
(context->status&mask)!=0;
}
// decContextTestStatus
/* ------------------------------------------------------------------ */
/* decContextZeroStatus -- clear all status bits */
/* */
/* context is the context structure to be updated */
/* returns context */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decContext *decContextZeroStatus(decContext *context) {
context->status=0;
return
context;
}
// decContextZeroStatus