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libdecnumber: Introduce libdecnumber Code

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Add files from the libdecnumber decimal floating point library to QEMU.  The libdecnumber
library was originally part of GCC and contains code that is useful in emulating the PowerPC
decimal floating point (DFP) instructions.  This particular copy of the source comes from
GCC 4.3 and is licensed at GPLv2+.

Signed-off-by: Tom Musta <tommusta@gmail.com>
Signed-off-by: Alexander Graf <agraf@suse.de>
This commit is contained in:
Tom Musta 2014-04-21 15:54:45 -05:00 committed by Alexander Graf
parent 9d1c128341
commit 72ac97cdfc
15 changed files with 13244 additions and 0 deletions
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52
include/libdecnumber/dconfig.h Normal file
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/* Configure decNumber for either host or target.
Copyright (C) 2008 Free Software Foundation, Inc.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
#ifdef IN_LIBGCC2
#include "tconfig.h"
#include "coretypes.h"
#include "tm.h"
#ifndef LIBGCC2_WORDS_BIG_ENDIAN
#define LIBGCC2_WORDS_BIG_ENDIAN WORDS_BIG_ENDIAN
#endif
#ifndef LIBGCC2_FLOAT_WORDS_BIG_ENDIAN
#define LIBGCC2_FLOAT_WORDS_BIG_ENDIAN LIBGCC2_WORDS_BIG_ENDIAN
#endif
#if LIBGCC2_FLOAT_WORDS_BIG_ENDIAN
#define WORDS_BIGENDIAN 1
#endif
#else
#include "config.h"
#endif

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include/libdecnumber/decContext.h Normal file
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/* Decimal context header module for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal Context module header */
/* ------------------------------------------------------------------ */
/* */
/* Context variables must always have valid values: */
/* */
/* status -- [any bits may be cleared, but not set, by user] */
/* round -- must be one of the enumerated rounding modes */
/* */
/* The following variables are implied for fixed size formats (i.e., */
/* they are ignored) but should still be set correctly in case used */
/* with decNumber functions: */
/* */
/* clamp -- must be either 0 or 1 */
/* digits -- must be in the range 1 through 999999999 */
/* emax -- must be in the range 0 through 999999999 */
/* emin -- must be in the range 0 through -999999999 */
/* extended -- must be either 0 or 1 [present only if DECSUBSET] */
/* traps -- only defined bits may be set */
/* */
/* ------------------------------------------------------------------ */
#if !defined(DECCONTEXT)
#define DECCONTEXT
#define DECCNAME "decContext" /* Short name */
#define DECCFULLNAME "Decimal Context Descriptor" /* Verbose name */
#define DECCAUTHOR "Mike Cowlishaw" /* Who to blame */
#include "gstdint.h" /* C99 standard integers */
#include <stdio.h> /* for printf, etc. */
#include <signal.h> /* for traps */
/* Extended flags setting -- set this to 0 to use only IEEE flags */
#define DECEXTFLAG 1 /* 1=enable extended flags */
/* Conditional code flag -- set this to 0 for best performance */
#define DECSUBSET 0 /* 1=enable subset arithmetic */
/* Context for operations, with associated constants */
enum rounding {
DEC_ROUND_CEILING, /* round towards +infinity */
DEC_ROUND_UP, /* round away from 0 */
DEC_ROUND_HALF_UP, /* 0.5 rounds up */
DEC_ROUND_HALF_EVEN, /* 0.5 rounds to nearest even */
DEC_ROUND_HALF_DOWN, /* 0.5 rounds down */
DEC_ROUND_DOWN, /* round towards 0 (truncate) */
DEC_ROUND_FLOOR, /* round towards -infinity */
DEC_ROUND_05UP, /* round for reround */
DEC_ROUND_MAX /* enum must be less than this */
};
#define DEC_ROUND_DEFAULT DEC_ROUND_HALF_EVEN;
typedef struct {
int32_t digits; /* working precision */
int32_t emax; /* maximum positive exponent */
int32_t emin; /* minimum negative exponent */
enum rounding round; /* rounding mode */
uint32_t traps; /* trap-enabler flags */
uint32_t status; /* status flags */
uint8_t clamp; /* flag: apply IEEE exponent clamp */
#if DECSUBSET
uint8_t extended; /* flag: special-values allowed */
#endif
} decContext;
/* Maxima and Minima for context settings */
#define DEC_MAX_DIGITS 999999999
#define DEC_MIN_DIGITS 1
#define DEC_MAX_EMAX 999999999
#define DEC_MIN_EMAX 0
#define DEC_MAX_EMIN 0
#define DEC_MIN_EMIN -999999999
#define DEC_MAX_MATH 999999 /* max emax, etc., for math funcs. */
/* Classifications for decimal numbers, aligned with 754r (note */
/* that 'normal' and 'subnormal' are meaningful only with a */
/* decContext or a fixed size format). */
enum decClass {
DEC_CLASS_SNAN,
DEC_CLASS_QNAN,
DEC_CLASS_NEG_INF,
DEC_CLASS_NEG_NORMAL,
DEC_CLASS_NEG_SUBNORMAL,
DEC_CLASS_NEG_ZERO,
DEC_CLASS_POS_ZERO,
DEC_CLASS_POS_SUBNORMAL,
DEC_CLASS_POS_NORMAL,
DEC_CLASS_POS_INF
};
/* Strings for the decClasses */
#define DEC_ClassString_SN "sNaN"
#define DEC_ClassString_QN "NaN"
#define DEC_ClassString_NI "-Infinity"
#define DEC_ClassString_NN "-Normal"
#define DEC_ClassString_NS "-Subnormal"
#define DEC_ClassString_NZ "-Zero"
#define DEC_ClassString_PZ "+Zero"
#define DEC_ClassString_PS "+Subnormal"
#define DEC_ClassString_PN "+Normal"
#define DEC_ClassString_PI "+Infinity"
#define DEC_ClassString_UN "Invalid"
/* Trap-enabler and Status flags (exceptional conditions), and */
/* their names. The top byte is reserved for internal use */
#if DECEXTFLAG
/* Extended flags */
#define DEC_Conversion_syntax 0x00000001
#define DEC_Division_by_zero 0x00000002
#define DEC_Division_impossible 0x00000004
#define DEC_Division_undefined 0x00000008
#define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */
#define DEC_Inexact 0x00000020
#define DEC_Invalid_context 0x00000040
#define DEC_Invalid_operation 0x00000080
#if DECSUBSET
#define DEC_Lost_digits 0x00000100
#endif
#define DEC_Overflow 0x00000200
#define DEC_Clamped 0x00000400
#define DEC_Rounded 0x00000800
#define DEC_Subnormal 0x00001000
#define DEC_Underflow 0x00002000
#else
/* IEEE flags only */
#define DEC_Conversion_syntax 0x00000010
#define DEC_Division_by_zero 0x00000002
#define DEC_Division_impossible 0x00000010
#define DEC_Division_undefined 0x00000010
#define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */
#define DEC_Inexact 0x00000001
#define DEC_Invalid_context 0x00000010
#define DEC_Invalid_operation 0x00000010
#if DECSUBSET
#define DEC_Lost_digits 0x00000000
#endif
#define DEC_Overflow 0x00000008
#define DEC_Clamped 0x00000000
#define DEC_Rounded 0x00000000
#define DEC_Subnormal 0x00000000
#define DEC_Underflow 0x00000004
#endif
/* IEEE 854 groupings for the flags */
/* [DEC_Clamped, DEC_Lost_digits, DEC_Rounded, and DEC_Subnormal */
/* are not in IEEE 854] */
#define DEC_IEEE_854_Division_by_zero (DEC_Division_by_zero)
#if DECSUBSET
#define DEC_IEEE_854_Inexact (DEC_Inexact | DEC_Lost_digits)
#else
#define DEC_IEEE_854_Inexact (DEC_Inexact)
#endif
#define DEC_IEEE_854_Invalid_operation (DEC_Conversion_syntax | \
DEC_Division_impossible | \
DEC_Division_undefined | \
DEC_Insufficient_storage | \
DEC_Invalid_context | \
DEC_Invalid_operation)
#define DEC_IEEE_854_Overflow (DEC_Overflow)
#define DEC_IEEE_854_Underflow (DEC_Underflow)
/* flags which are normally errors (result is qNaN, infinite, or 0) */
#define DEC_Errors (DEC_IEEE_854_Division_by_zero | \
DEC_IEEE_854_Invalid_operation | \
DEC_IEEE_854_Overflow | DEC_IEEE_854_Underflow)
/* flags which cause a result to become qNaN */
#define DEC_NaNs DEC_IEEE_854_Invalid_operation
/* flags which are normally for information only (finite results) */
#if DECSUBSET
#define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact \
| DEC_Lost_digits)
#else
#define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact)
#endif
/* Name strings for the exceptional conditions */
#define DEC_Condition_CS "Conversion syntax"
#define DEC_Condition_DZ "Division by zero"
#define DEC_Condition_DI "Division impossible"
#define DEC_Condition_DU "Division undefined"
#define DEC_Condition_IE "Inexact"
#define DEC_Condition_IS "Insufficient storage"
#define DEC_Condition_IC "Invalid context"
#define DEC_Condition_IO "Invalid operation"
#if DECSUBSET
#define DEC_Condition_LD "Lost digits"
#endif
#define DEC_Condition_OV "Overflow"
#define DEC_Condition_PA "Clamped"
#define DEC_Condition_RO "Rounded"
#define DEC_Condition_SU "Subnormal"
#define DEC_Condition_UN "Underflow"
#define DEC_Condition_ZE "No status"
#define DEC_Condition_MU "Multiple status"
#define DEC_Condition_Length 21 /* length of the longest string, */
/* including terminator */
/* Initialization descriptors, used by decContextDefault */
#define DEC_INIT_BASE 0
#define DEC_INIT_DECIMAL32 32
#define DEC_INIT_DECIMAL64 64
#define DEC_INIT_DECIMAL128 128
/* Synonyms */
#define DEC_INIT_DECSINGLE DEC_INIT_DECIMAL32
#define DEC_INIT_DECDOUBLE DEC_INIT_DECIMAL64
#define DEC_INIT_DECQUAD DEC_INIT_DECIMAL128
/* decContext routines */
#include "decContextSymbols.h"
extern decContext * decContextClearStatus(decContext *, uint32_t);
extern decContext * decContextDefault(decContext *, int32_t);
extern enum rounding decContextGetRounding(decContext *);
extern uint32_t decContextGetStatus(decContext *);
extern decContext * decContextRestoreStatus(decContext *, uint32_t, uint32_t);
extern uint32_t decContextSaveStatus(decContext *, uint32_t);
extern decContext * decContextSetRounding(decContext *, enum rounding);
extern decContext * decContextSetStatus(decContext *, uint32_t);
extern decContext * decContextSetStatusFromString(decContext *, const char *);
extern decContext * decContextSetStatusFromStringQuiet(decContext *, const char *);
extern decContext * decContextSetStatusQuiet(decContext *, uint32_t);
extern const char * decContextStatusToString(const decContext *);
extern uint32_t decContextTestSavedStatus(uint32_t, uint32_t);
extern uint32_t decContextTestStatus(decContext *, uint32_t);
extern decContext * decContextZeroStatus(decContext *);
#endif

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include/libdecnumber/decDPD.h Normal file
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include/libdecnumber/decNumber.h Normal file
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/* Decimal number arithmetic module header for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal Number arithmetic module header */
/* ------------------------------------------------------------------ */
#if !defined(DECNUMBER)
#define DECNUMBER
#define DECNAME "decNumber" /* Short name */
#define DECFULLNAME "Decimal Number Module" /* Verbose name */
#define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
#if !defined(DECCONTEXT)
#include "decContext.h"
#endif
/* Bit settings for decNumber.bits */
#define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
#define DECINF 0x40 /* 1=Infinity */
#define DECNAN 0x20 /* 1=NaN */
#define DECSNAN 0x10 /* 1=sNaN */
/* The remaining bits are reserved; they must be 0 */
#define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
/* Define the decNumber data structure. The size and shape of the */
/* units array in the structure is determined by the following */
/* constant. This must not be changed without recompiling the */
/* decNumber library modules. */
#define DECDPUN 3 /* DECimal Digits Per UNit [must be >0 */
/* and <10; 3 or powers of 2 are best]. */
/* DECNUMDIGITS is the default number of digits that can be held in */
/* the structure. If undefined, 1 is assumed and it is assumed */
/* that the structure will be immediately followed by extra space, */
/* as required. DECNUMDIGITS is always >0. */
#if !defined(DECNUMDIGITS)
#define DECNUMDIGITS 1
#endif
/* The size (integer data type) of each unit is determined by the */
/* number of digits it will hold. */
#if DECDPUN<=2
#define decNumberUnit uint8_t
#elif DECDPUN<=4
#define decNumberUnit uint16_t
#else
#define decNumberUnit uint32_t
#endif
/* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
#define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
/* The data structure... */
typedef struct {
int32_t digits; /* Count of digits in the coefficient; >0 */
int32_t exponent; /* Unadjusted exponent, unbiased, in */
/* range: -1999999997 through 999999999 */
uint8_t bits; /* Indicator bits (see above) */
/* Coefficient, from least significant unit */
decNumberUnit lsu[DECNUMUNITS];
} decNumber;
/* Notes: */
/* 1. If digits is > DECDPUN then there will one or more */
/* decNumberUnits immediately following the first element of lsu.*/
/* These contain the remaining (more significant) digits of the */
/* number, and may be in the lsu array, or may be guaranteed by */
/* some other mechanism (such as being contained in another */
/* structure, or being overlaid on dynamically allocated */
/* storage). */
/* */
/* Each integer of the coefficient (except potentially the last) */
/* contains DECDPUN digits (e.g., a value in the range 0 through */
/* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
/* */
/* 2. A decNumber converted to a string may need up to digits+14 */
/* characters. The worst cases (non-exponential and exponential */
/* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
/* (where # is '\0') */
/* ---------------------------------------------------------------- */
/* decNumber public functions and macros */
/* ---------------------------------------------------------------- */
#include "decNumberSymbols.h"
/* Conversions */
decNumber * decNumberFromInt32(decNumber *, int32_t);
decNumber * decNumberFromUInt32(decNumber *, uint32_t);
decNumber * decNumberFromString(decNumber *, const char *, decContext *);
char * decNumberToString(const decNumber *, char *);
char * decNumberToEngString(const decNumber *, char *);
uint32_t decNumberToUInt32(const decNumber *, decContext *);
int32_t decNumberToInt32(const decNumber *, decContext *);
uint8_t * decNumberGetBCD(const decNumber *, uint8_t *);
decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
/* Operators and elementary functions */
decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *);
decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberExp(decNumber *, const decNumber *, decContext *);
decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *);
decNumber * decNumberLn(decNumber *, const decNumber *, decContext *);
decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *);
decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *);
decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *);
decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *);
decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
/* Utilities */
enum decClass decNumberClass(const decNumber *, decContext *);
const char * decNumberClassToString(enum decClass);
decNumber * decNumberCopy(decNumber *, const decNumber *);
decNumber * decNumberCopyAbs(decNumber *, const decNumber *);
decNumber * decNumberCopyNegate(decNumber *, const decNumber *);
decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *);
decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
decNumber * decNumberTrim(decNumber *);
const char * decNumberVersion(void);
decNumber * decNumberZero(decNumber *);
/* Functions for testing decNumbers (normality depends on context) */
int32_t decNumberIsNormal(const decNumber *, decContext *);
int32_t decNumberIsSubnormal(const decNumber *, decContext *);
/* Macros for testing decNumber *dn */
#define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
#define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
#define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
#define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
#define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
#define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
#define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
#define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
#define decNumberIsZero(dn) (*(dn)->lsu==0 \
&& (dn)->digits==1 \
&& (((dn)->bits&DECSPECIAL)==0))
#define decNumberRadix(dn) (10)
#endif

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/* Local definitions for the decNumber C Library.
Copyright (C) 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* decNumber package local type, tuning, and macro definitions */
/* ------------------------------------------------------------------ */
/* This header file is included by all modules in the decNumber */
/* library, and contains local type definitions, tuning parameters, */
/* etc. It should not need to be used by application programs. */
/* decNumber.h or one of decDouble (etc.) must be included first. */
/* ------------------------------------------------------------------ */
#if !defined(DECNUMBERLOC)
#define DECNUMBERLOC
#define DECVERSION "decNumber 3.53" /* Package Version [16 max.] */
#define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */
#include <stdlib.h> /* for abs */
#include <string.h> /* for memset, strcpy */
#include "dconfig.h" /* for WORDS_BIGENDIAN */
/* Conditional code flag -- set this to match hardware platform */
/* 1=little-endian, 0=big-endian */
#if WORDS_BIGENDIAN
#define DECLITEND 0
#else
#define DECLITEND 1
#endif
/* Conditional code flag -- set this to 1 for best performance */
#define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */
/* Conditional check flags -- set these to 0 for best performance */
#define DECCHECK 0 /* 1 to enable robust checking */
#define DECALLOC 0 /* 1 to enable memory accounting */
#define DECTRACE 0 /* 1 to trace certain internals, etc. */
/* Tuning parameter for decNumber (arbitrary precision) module */
#define DECBUFFER 36 /* Size basis for local buffers. This */
/* should be a common maximum precision */
/* rounded up to a multiple of 4; must */
/* be zero or positive. */
/* ---------------------------------------------------------------- */
/* Definitions for all modules (general-purpose) */
/* ---------------------------------------------------------------- */
/* Local names for common types -- for safety, decNumber modules do */
/* not use int or long directly. */
#define Flag uint8_t
#define Byte int8_t
#define uByte uint8_t
#define Short int16_t
#define uShort uint16_t
#define Int int32_t
#define uInt uint32_t
#define Unit decNumberUnit
#if DECUSE64
#define Long int64_t
#define uLong uint64_t
#endif
/* Development-use definitions */
typedef long int LI; /* for printf arguments only */
#define DECNOINT 0 /* 1 to check no internal use of 'int' */
#if DECNOINT
/* if these interfere with your C includes, do not set DECNOINT */
#define int ? /* enable to ensure that plain C 'int' */
#define long ?? /* .. or 'long' types are not used */
#endif
/* Shared lookup tables */
extern const uByte DECSTICKYTAB[10]; /* re-round digits if sticky */
extern const uInt DECPOWERS[10]; /* powers of ten table */
/* The following are included from decDPD.h */
#include "decDPDSymbols.h"
extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */
extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */
extern const uInt DPD2BINK[1024]; /* DPD -> 0-999000 */
extern const uInt DPD2BINM[1024]; /* DPD -> 0-999000000 */
extern const uByte DPD2BCD8[4096]; /* DPD -> ddd + len */
extern const uByte BIN2BCD8[4000]; /* 0-999 -> ddd + len */
extern const uShort BCD2DPD[2458]; /* 0-0x999 -> DPD (0x999=2457)*/
/* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts */
/* (that is, sets w to be the high-order word of the 64-bit result; */
/* the low-order word is simply u*v.) */
/* This version is derived from Knuth via Hacker's Delight; */
/* it seems to optimize better than some others tried */
#define LONGMUL32HI(w, u, v) { \
uInt u0, u1, v0, v1, w0, w1, w2, t; \
u0=u & 0xffff; u1=u>>16; \
v0=v & 0xffff; v1=v>>16; \
w0=u0*v0; \
t=u1*v0 + (w0>>16); \
w1=t & 0xffff; w2=t>>16; \
w1=u0*v1 + w1; \
(w)=u1*v1 + w2 + (w1>>16);}
/* ROUNDUP -- round an integer up to a multiple of n */
#define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n)
/* ROUNDDOWN -- round an integer down to a multiple of n */
#define ROUNDDOWN(i, n) (((i)/n)*n)
#define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */
/* References to multi-byte sequences under different sizes */
/* Refer to a uInt from four bytes starting at a char* or uByte*, */
/* etc. */
#define UINTAT(b) (*((uInt *)(b)))
#define USHORTAT(b) (*((uShort *)(b)))
#define UBYTEAT(b) (*((uByte *)(b)))
/* X10 and X100 -- multiply integer i by 10 or 100 */
/* [shifts are usually faster than multiply; could be conditional] */
#define X10(i) (((i)<<1)+((i)<<3))
#define X100(i) (((i)<<2)+((i)<<5)+((i)<<6))
/* MAXI and MINI -- general max & min (not in ANSI) for integers */
#define MAXI(x,y) ((x)<(y)?(y):(x))
#define MINI(x,y) ((x)>(y)?(y):(x))
/* Useful constants */
#define BILLION 1000000000 /* 10**9 */
/* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */
#define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0')
/* ---------------------------------------------------------------- */
/* Definitions for arbitary-precision modules (only valid after */
/* decNumber.h has been included) */
/* ---------------------------------------------------------------- */
/* Limits and constants */
#define DECNUMMAXP 999999999 /* maximum precision code can handle */
#define DECNUMMAXE 999999999 /* maximum adjusted exponent ditto */
#define DECNUMMINE -999999999 /* minimum adjusted exponent ditto */
#if (DECNUMMAXP != DEC_MAX_DIGITS)
#error Maximum digits mismatch
#endif
#if (DECNUMMAXE != DEC_MAX_EMAX)
#error Maximum exponent mismatch
#endif
#if (DECNUMMINE != DEC_MIN_EMIN)
#error Minimum exponent mismatch
#endif
/* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */
/* digits, and D2UTABLE -- the initializer for the D2U table */
#if DECDPUN==1
#define DECDPUNMAX 9
#define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \
48,49}
#elif DECDPUN==2
#define DECDPUNMAX 99
#define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10, \
11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \
18,19,19,20,20,21,21,22,22,23,23,24,24,25}
#elif DECDPUN==3
#define DECDPUNMAX 999
#define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7, \
8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \
13,14,14,14,15,15,15,16,16,16,17}
#elif DECDPUN==4
#define DECDPUNMAX 9999
#define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6, \
6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \
11,11,11,12,12,12,12,13}
#elif DECDPUN==5
#define DECDPUNMAX 99999
#define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5, \
5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9, \
9,9,10,10,10,10}
#elif DECDPUN==6
#define DECDPUNMAX 999999
#define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4, \
4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8, \
8,8,8,8,8,9}
#elif DECDPUN==7
#define DECDPUNMAX 9999999
#define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3, \
4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7, \
7,7,7,7,7,7}
#elif DECDPUN==8
#define DECDPUNMAX 99999999
#define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3, \
3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6, \
6,6,6,6,6,7}
#elif DECDPUN==9
#define DECDPUNMAX 999999999
#define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3, \
3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, \
5,5,6,6,6,6}
#elif defined(DECDPUN)
#error DECDPUN must be in the range 1-9
#endif
/* ----- Shared data (in decNumber.c) ----- */
/* Public lookup table used by the D2U macro (see below) */
#define DECMAXD2U 49
extern const uByte d2utable[DECMAXD2U+1];
/* ----- Macros ----- */
/* ISZERO -- return true if decNumber dn is a zero */
/* [performance-critical in some situations] */
#define ISZERO(dn) decNumberIsZero(dn) /* now just a local name */
/* D2U -- return the number of Units needed to hold d digits */
/* (runtime version, with table lookaside for small d) */
#if DECDPUN==8
#define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3))
#elif DECDPUN==4
#define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2))
#else
#define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN)
#endif
/* SD2U -- static D2U macro (for compile-time calculation) */
#define SD2U(d) (((d)+DECDPUN-1)/DECDPUN)
/* MSUDIGITS -- returns digits in msu, from digits, calculated */
/* using D2U */
#define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN)
/* D2N -- return the number of decNumber structs that would be */
/* needed to contain that number of digits (and the initial */
/* decNumber struct) safely. Note that one Unit is included in the */
/* initial structure. Used for allocating space that is aligned on */
/* a decNumber struct boundary. */
#define D2N(d) \
((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber))
/* TODIGIT -- macro to remove the leading digit from the unsigned */
/* integer u at column cut (counting from the right, LSD=0) and */
/* place it as an ASCII character into the character pointed to by */
/* c. Note that cut must be <= 9, and the maximum value for u is */
/* 2,000,000,000 (as is needed for negative exponents of */
/* subnormals). The unsigned integer pow is used as a temporary */
/* variable. */
#define TODIGIT(u, cut, c, pow) { \
*(c)='0'; \
pow=DECPOWERS[cut]*2; \
if ((u)>pow) { \
pow*=4; \
if ((u)>=pow) {(u)-=pow; *(c)+=8;} \
pow/=2; \
if ((u)>=pow) {(u)-=pow; *(c)+=4;} \
pow/=2; \
} \
if ((u)>=pow) {(u)-=pow; *(c)+=2;} \
pow/=2; \
if ((u)>=pow) {(u)-=pow; *(c)+=1;} \
}
/* ---------------------------------------------------------------- */
/* Definitions for fixed-precision modules (only valid after */
/* decSingle.h, decDouble.h, or decQuad.h has been included) */
/* ---------------------------------------------------------------- */
/* bcdnum -- a structure describing a format-independent finite */
/* number, whose coefficient is a string of bcd8 uBytes */
typedef struct {
uByte *msd; /* -> most significant digit */
uByte *lsd; /* -> least ditto */
uInt sign; /* 0=positive, DECFLOAT_Sign=negative */
Int exponent; /* Unadjusted signed exponent (q), or */
/* DECFLOAT_NaN etc. for a special */
} bcdnum;
/* Test if exponent or bcdnum exponent must be a special, etc. */
#define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp)
#define EXPISINF(exp) (exp==DECFLOAT_Inf)
#define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN)
#define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent))
/* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */
/* (array) notation (the 0 word or byte contains the sign bit), */
/* automatically adjusting for endianness; similarly address a word */
/* in the next-wider format (decFloatWider, or dfw) */
#define DECWORDS (DECBYTES/4)
#define DECWWORDS (DECWBYTES/4)
#if DECLITEND
#define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)])
#define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)])
#define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)])
#else
#define DFWORD(df, off) ((df)->words[off])
#define DFBYTE(df, off) ((df)->bytes[off])
#define DFWWORD(dfw, off) ((dfw)->words[off])
#endif
/* Tests for sign or specials, directly on DECFLOATs */
#define DFISSIGNED(df) (DFWORD(df, 0)&0x80000000)
#define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000)
#define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000)
#define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000)
#define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000)
#define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000)
/* Shared lookup tables */
#include "decCommonSymbols.h"
extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */
extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */
/* Private generic (utility) routine */
#if DECCHECK || DECTRACE
extern void decShowNum(const bcdnum *, const char *);
#endif
/* Format-dependent macros and constants */
#if defined(DECPMAX)
/* Useful constants */
#define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */
/* Top words for a zero */
#define SINGLEZERO 0x22500000
#define DOUBLEZERO 0x22380000
#define QUADZERO 0x22080000
/* [ZEROWORD is defined to be one of these in the DFISZERO macro] */
/* Format-dependent common tests: */
/* DFISZERO -- test for (any) zero */
/* DFISCCZERO -- test for coefficient continuation being zero */
/* DFISCC01 -- test for coefficient contains only 0s and 1s */
/* DFISINT -- test for finite and exponent q=0 */
/* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */
/* MSD=0 or 1 */
/* ZEROWORD is also defined here. */
/* In DFISZERO the first test checks the least-significant word */
/* (most likely to be non-zero); the penultimate tests MSD and */
/* DPDs in the signword, and the final test excludes specials and */
/* MSD>7. DFISINT similarly has to allow for the two forms of */
/* MSD codes. DFISUINT01 only has to allow for one form of MSD */
/* code. */
#if DECPMAX==7
#define ZEROWORD SINGLEZERO
/* [test macros not needed except for Zero] */
#define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \
&& (DFWORD(df, 0)&0x60000000)!=0x60000000)
#elif DECPMAX==16
#define ZEROWORD DOUBLEZERO
#define DFISZERO(df) ((DFWORD(df, 1)==0 \
&& (DFWORD(df, 0)&0x1c03ffff)==0 \
&& (DFWORD(df, 0)&0x60000000)!=0x60000000))
#define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \
||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000)
#define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000)
#define DFISCCZERO(df) (DFWORD(df, 1)==0 \
&& (DFWORD(df, 0)&0x0003ffff)==0)
#define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \
&& (DFWORD(df, 1)&~0x49124491)==0)
#elif DECPMAX==34
#define ZEROWORD QUADZERO
#define DFISZERO(df) ((DFWORD(df, 3)==0 \
&& DFWORD(df, 2)==0 \
&& DFWORD(df, 1)==0 \
&& (DFWORD(df, 0)&0x1c003fff)==0 \
&& (DFWORD(df, 0)&0x60000000)!=0x60000000))
#define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000 \
||(DFWORD(df, 0)&0x7bffc000)==0x6a080000)
#define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000)
#define DFISCCZERO(df) (DFWORD(df, 3)==0 \
&& DFWORD(df, 2)==0 \
&& DFWORD(df, 1)==0 \
&& (DFWORD(df, 0)&0x00003fff)==0)
#define DFISCC01(df) ((DFWORD(df, 0)&~0xffffc912)==0 \
&& (DFWORD(df, 1)&~0x44912449)==0 \
&& (DFWORD(df, 2)&~0x12449124)==0 \
&& (DFWORD(df, 3)&~0x49124491)==0)
#endif
/* Macros to test if a certain 10 bits of a uInt or pair of uInts */
/* are a canonical declet [higher or lower bits are ignored]. */
/* declet is at offset 0 (from the right) in a uInt: */
#define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e)
/* declet is at offset k (a multiple of 2) in a uInt: */
#define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0 \
|| ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
/* declet is at offset k (a multiple of 2) in a pair of uInts: */
/* [the top 2 bits will always be in the more-significant uInt] */
#define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \
|| ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k))) \
|| ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k)))
/* Macro to test whether a full-length (length DECPMAX) BCD8 */
/* coefficient is zero */
/* test just the LSWord first, then the remainder */
#if DECPMAX==7
#define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0 \
&& UINTAT((u)+DECPMAX-7)==0)
#elif DECPMAX==16
#define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0 \
&& (UINTAT((u)+DECPMAX-8)+UINTAT((u)+DECPMAX-12) \
+UINTAT((u)+DECPMAX-16))==0)
#elif DECPMAX==34
#define ISCOEFFZERO(u) (UINTAT((u)+DECPMAX-4)==0 \
&& (UINTAT((u)+DECPMAX-8) +UINTAT((u)+DECPMAX-12) \
+UINTAT((u)+DECPMAX-16)+UINTAT((u)+DECPMAX-20) \
+UINTAT((u)+DECPMAX-24)+UINTAT((u)+DECPMAX-28) \
+UINTAT((u)+DECPMAX-32)+USHORTAT((u)+DECPMAX-34))==0)
#endif
/* Macros and masks for the exponent continuation field and MSD */
/* Get the exponent continuation from a decFloat *df as an Int */
#define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL)))
/* Ditto, from the next-wider format */
#define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL)))
/* Get the biased exponent similarly */
#define GETEXP(df) ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df)))
/* Get the unbiased exponent similarly */
#define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS)
/* Get the MSD similarly (as uInt) */
#define GETMSD(df) (DECCOMBMSD[DFWORD((df), 0)>>26])
/* Compile-time computes of the exponent continuation field masks */
/* full exponent continuation field: */
#define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
/* same, not including its first digit (the qNaN/sNaN selector): */
#define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL))
/* Macros to decode the coefficient in a finite decFloat *df into */
/* a BCD string (uByte *bcdin) of length DECPMAX uBytes */
/* In-line sequence to convert 10 bits at right end of uInt dpd */
/* to three BCD8 digits starting at uByte u. Note that an extra */
/* byte is written to the right of the three digits because this */
/* moves four at a time for speed; the alternative macro moves */
/* exactly three bytes */
#define dpd2bcd8(u, dpd) { \
UINTAT(u)=UINTAT(&DPD2BCD8[((dpd)&0x3ff)*4]);}
#define dpd2bcd83(u, dpd) { \
*(u)=DPD2BCD8[((dpd)&0x3ff)*4]; \
*(u+1)=DPD2BCD8[((dpd)&0x3ff)*4+1]; \
*(u+2)=DPD2BCD8[((dpd)&0x3ff)*4+2];}
/* Decode the declets. After extracting each one, it is decoded */
/* to BCD8 using a table lookup (also used for variable-length */
/* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */
/* length which is not used, here). Fixed-length 4-byte moves */
/* are fast, however, almost everywhere, and so are used except */
/* for the final three bytes (to avoid overrun). The code below */
/* is 36 instructions for Doubles and about 70 for Quads, even */
/* on IA32. */
/* Two macros are defined for each format: */
/* GETCOEFF extracts the coefficient of the current format */
/* GETWCOEFF extracts the coefficient of the next-wider format. */
/* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */
#if DECPMAX==7
#define GETCOEFF(df, bcd) { \
uInt sourhi=DFWORD(df, 0); \
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
dpd2bcd8(bcd+1, sourhi>>10); \
dpd2bcd83(bcd+4, sourhi);}
#define GETWCOEFF(df, bcd) { \
uInt sourhi=DFWWORD(df, 0); \
uInt sourlo=DFWWORD(df, 1); \
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
dpd2bcd8(bcd+1, sourhi>>8); \
dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
dpd2bcd8(bcd+7, sourlo>>20); \
dpd2bcd8(bcd+10, sourlo>>10); \
dpd2bcd83(bcd+13, sourlo);}
#elif DECPMAX==16
#define GETCOEFF(df, bcd) { \
uInt sourhi=DFWORD(df, 0); \
uInt sourlo=DFWORD(df, 1); \
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
dpd2bcd8(bcd+1, sourhi>>8); \
dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \
dpd2bcd8(bcd+7, sourlo>>20); \
dpd2bcd8(bcd+10, sourlo>>10); \
dpd2bcd83(bcd+13, sourlo);}
#define GETWCOEFF(df, bcd) { \
uInt sourhi=DFWWORD(df, 0); \
uInt sourmh=DFWWORD(df, 1); \
uInt sourml=DFWWORD(df, 2); \
uInt sourlo=DFWWORD(df, 3); \
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
dpd2bcd8(bcd+1, sourhi>>4); \
dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
dpd2bcd8(bcd+7, sourmh>>16); \
dpd2bcd8(bcd+10, sourmh>>6); \
dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
dpd2bcd8(bcd+16, sourml>>18); \
dpd2bcd8(bcd+19, sourml>>8); \
dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
dpd2bcd8(bcd+25, sourlo>>20); \
dpd2bcd8(bcd+28, sourlo>>10); \
dpd2bcd83(bcd+31, sourlo);}
#elif DECPMAX==34
#define GETCOEFF(df, bcd) { \
uInt sourhi=DFWORD(df, 0); \
uInt sourmh=DFWORD(df, 1); \
uInt sourml=DFWORD(df, 2); \
uInt sourlo=DFWORD(df, 3); \
*(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \
dpd2bcd8(bcd+1, sourhi>>4); \
dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \
dpd2bcd8(bcd+7, sourmh>>16); \
dpd2bcd8(bcd+10, sourmh>>6); \
dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \
dpd2bcd8(bcd+16, sourml>>18); \
dpd2bcd8(bcd+19, sourml>>8); \
dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \
dpd2bcd8(bcd+25, sourlo>>20); \
dpd2bcd8(bcd+28, sourlo>>10); \
dpd2bcd83(bcd+31, sourlo);}
#define GETWCOEFF(df, bcd) {??} /* [should never be used] */
#endif
/* Macros to decode the coefficient in a finite decFloat *df into */
/* a base-billion uInt array, with the least-significant */
/* 0-999999999 'digit' at offset 0. */
/* Decode the declets. After extracting each one, it is decoded */
/* to binary using a table lookup. Three tables are used; one */
/* the usual DPD to binary, the other two pre-multiplied by 1000 */
/* and 1000000 to avoid multiplication during decode. These */
/* tables can also be used for multiplying up the MSD as the DPD */
/* code for 0 through 9 is the identity. */
#define DPD2BIN0 DPD2BIN /* for prettier code */
#if DECPMAX==7
#define GETCOEFFBILL(df, buf) { \
uInt sourhi=DFWORD(df, 0); \
(buf)[0]=DPD2BIN0[sourhi&0x3ff] \
+DPD2BINK[(sourhi>>10)&0x3ff] \
+DPD2BINM[DECCOMBMSD[sourhi>>26]];}
#elif DECPMAX==16
#define GETCOEFFBILL(df, buf) { \
uInt sourhi, sourlo; \
sourlo=DFWORD(df, 1); \
(buf)[0]=DPD2BIN0[sourlo&0x3ff] \
+DPD2BINK[(sourlo>>10)&0x3ff] \
+DPD2BINM[(sourlo>>20)&0x3ff]; \
sourhi=DFWORD(df, 0); \
(buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff] \
+DPD2BINK[(sourhi>>8)&0x3ff] \
+DPD2BINM[DECCOMBMSD[sourhi>>26]];}
#elif DECPMAX==34
#define GETCOEFFBILL(df, buf) { \
uInt sourhi, sourmh, sourml, sourlo; \
sourlo=DFWORD(df, 3); \
(buf)[0]=DPD2BIN0[sourlo&0x3ff] \
+DPD2BINK[(sourlo>>10)&0x3ff] \
+DPD2BINM[(sourlo>>20)&0x3ff]; \
sourml=DFWORD(df, 2); \
(buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff] \
+DPD2BINK[(sourml>>8)&0x3ff] \
+DPD2BINM[(sourml>>18)&0x3ff]; \
sourmh=DFWORD(df, 1); \
(buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff] \
+DPD2BINK[(sourmh>>6)&0x3ff] \
+DPD2BINM[(sourmh>>16)&0x3ff]; \
sourhi=DFWORD(df, 0); \
(buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff] \
+DPD2BINK[(sourhi>>4)&0x3ff] \
+DPD2BINM[DECCOMBMSD[sourhi>>26]];}
#endif
/* Macros to decode the coefficient in a finite decFloat *df into */
/* a base-thousand uInt array, with the least-significant 0-999 */
/* 'digit' at offset 0. */
/* Decode the declets. After extracting each one, it is decoded */
/* to binary using a table lookup. */
#if DECPMAX==7
#define GETCOEFFTHOU(df, buf) { \
uInt sourhi=DFWORD(df, 0); \
(buf)[0]=DPD2BIN[sourhi&0x3ff]; \
(buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff]; \
(buf)[2]=DECCOMBMSD[sourhi>>26];}
#elif DECPMAX==16
#define GETCOEFFTHOU(df, buf) { \
uInt sourhi, sourlo; \
sourlo=DFWORD(df, 1); \
(buf)[0]=DPD2BIN[sourlo&0x3ff]; \
(buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
(buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
sourhi=DFWORD(df, 0); \
(buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \
(buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff]; \
(buf)[5]=DECCOMBMSD[sourhi>>26];}
#elif DECPMAX==34
#define GETCOEFFTHOU(df, buf) { \
uInt sourhi, sourmh, sourml, sourlo; \
sourlo=DFWORD(df, 3); \
(buf)[0]=DPD2BIN[sourlo&0x3ff]; \
(buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \
(buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \
sourml=DFWORD(df, 2); \
(buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \
(buf)[4]=DPD2BIN[(sourml>>8)&0x3ff]; \
(buf)[5]=DPD2BIN[(sourml>>18)&0x3ff]; \
sourmh=DFWORD(df, 1); \
(buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \
(buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff]; \
(buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff]; \
sourhi=DFWORD(df, 0); \
(buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \
(buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff]; \
(buf)[11]=DECCOMBMSD[sourhi>>26];}
#endif
/* Set a decFloat to the maximum positive finite number (Nmax) */
#if DECPMAX==7
#define DFSETNMAX(df) \
{DFWORD(df, 0)=0x77f3fcff;}
#elif DECPMAX==16
#define DFSETNMAX(df) \
{DFWORD(df, 0)=0x77fcff3f; \
DFWORD(df, 1)=0xcff3fcff;}
#elif DECPMAX==34
#define DFSETNMAX(df) \
{DFWORD(df, 0)=0x77ffcff3; \
DFWORD(df, 1)=0xfcff3fcf; \
DFWORD(df, 2)=0xf3fcff3f; \
DFWORD(df, 3)=0xcff3fcff;}
#endif
/* [end of format-dependent macros and constants] */
#endif
#else
#error decNumberLocal included more than once
#endif

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/* Decimal 128-bit format module header for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal 128-bit format module header */
/* ------------------------------------------------------------------ */
#if !defined(DECIMAL128)
#define DECIMAL128
#define DEC128NAME "decimal128" /* Short name */
#define DEC128FULLNAME "Decimal 128-bit Number" /* Verbose name */
#define DEC128AUTHOR "Mike Cowlishaw" /* Who to blame */
/* parameters for decimal128s */
#define DECIMAL128_Bytes 16 /* length */
#define DECIMAL128_Pmax 34 /* maximum precision (digits) */
#define DECIMAL128_Emax 6144 /* maximum adjusted exponent */
#define DECIMAL128_Emin -6143 /* minimum adjusted exponent */
#define DECIMAL128_Bias 6176 /* bias for the exponent */
#define DECIMAL128_String 43 /* maximum string length, +1 */
#define DECIMAL128_EconL 12 /* exp. continuation length */
/* highest biased exponent (Elimit-1) */
#define DECIMAL128_Ehigh (DECIMAL128_Emax+DECIMAL128_Bias-DECIMAL128_Pmax+1)
/* check enough digits, if pre-defined */
#if defined(DECNUMDIGITS)
#if (DECNUMDIGITS<DECIMAL128_Pmax)
#error decimal128.h needs pre-defined DECNUMDIGITS>=34 for safe use
#endif
#endif
#ifndef DECNUMDIGITS
#define DECNUMDIGITS DECIMAL128_Pmax /* size if not already defined*/
#endif
#ifndef DECNUMBER
#include "decNumber.h" /* context and number library */
#endif
/* Decimal 128-bit type, accessible by bytes */
typedef struct {
uint8_t bytes[DECIMAL128_Bytes]; /* decimal128: 1, 5, 12, 110 bits*/
} decimal128;
/* special values [top byte excluding sign bit; last two bits are */
/* don't-care for Infinity on input, last bit don't-care for NaN] */
#if !defined(DECIMAL_NaN)
#define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
#define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
#define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
#endif
#include "decimal128Local.h"
/* ---------------------------------------------------------------- */
/* Routines */
/* ---------------------------------------------------------------- */
#include "decimal128Symbols.h"
/* String conversions */
decimal128 * decimal128FromString(decimal128 *, const char *, decContext *);
char * decimal128ToString(const decimal128 *, char *);
char * decimal128ToEngString(const decimal128 *, char *);
/* decNumber conversions */
decimal128 * decimal128FromNumber(decimal128 *, const decNumber *,
decContext *);
decNumber * decimal128ToNumber(const decimal128 *, decNumber *);
/* Format-dependent utilities */
uint32_t decimal128IsCanonical(const decimal128 *);
decimal128 * decimal128Canonical(decimal128 *, const decimal128 *);
#endif

47
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/* Local definitions for use with the decNumber C Library.
Copyright (C) 2007 Free Software Foundation, Inc.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
#if !defined(DECIMAL128LOCAL)
/* The compiler needs sign manipulation functions for decimal128 which
are not part of the decNumber package. */
/* Set sign; this assumes the sign was previously zero. */
#define decimal128SetSign(d,b) \
{ (d)->bytes[WORDS_BIGENDIAN ? 0 : 15] |= ((unsigned) (b) << 7); }
/* Clear sign. */
#define decimal128ClearSign(d) \
{ (d)->bytes[WORDS_BIGENDIAN ? 0 : 15] &= ~0x80; }
/* Flip sign. */
#define decimal128FlipSign(d) \
{ (d)->bytes[WORDS_BIGENDIAN ? 0 : 15] ^= 0x80; }
#endif

99
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/* Decimal 32-bit format module header for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal 32-bit format module header */
/* ------------------------------------------------------------------ */
#if !defined(DECIMAL32)
#define DECIMAL32
#define DEC32NAME "decimal32" /* Short name */
#define DEC32FULLNAME "Decimal 32-bit Number" /* Verbose name */
#define DEC32AUTHOR "Mike Cowlishaw" /* Who to blame */
/* parameters for decimal32s */
#define DECIMAL32_Bytes 4 /* length */
#define DECIMAL32_Pmax 7 /* maximum precision (digits) */
#define DECIMAL32_Emax 96 /* maximum adjusted exponent */
#define DECIMAL32_Emin -95 /* minimum adjusted exponent */
#define DECIMAL32_Bias 101 /* bias for the exponent */
#define DECIMAL32_String 15 /* maximum string length, +1 */
#define DECIMAL32_EconL 6 /* exp. continuation length */
/* highest biased exponent (Elimit-1) */
#define DECIMAL32_Ehigh (DECIMAL32_Emax+DECIMAL32_Bias-DECIMAL32_Pmax+1)
/* check enough digits, if pre-defined */
#if defined(DECNUMDIGITS)
#if (DECNUMDIGITS<DECIMAL32_Pmax)
#error decimal32.h needs pre-defined DECNUMDIGITS>=7 for safe use
#endif
#endif
#ifndef DECNUMDIGITS
#define DECNUMDIGITS DECIMAL32_Pmax /* size if not already defined*/
#endif
#ifndef DECNUMBER
#include "decNumber.h" /* context and number library */
#endif
/* Decimal 32-bit type, accessible by bytes */
typedef struct {
uint8_t bytes[DECIMAL32_Bytes]; /* decimal32: 1, 5, 6, 20 bits*/
} decimal32;
/* special values [top byte excluding sign bit; last two bits are */
/* don't-care for Infinity on input, last bit don't-care for NaN] */
#if !defined(DECIMAL_NaN)
#define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
#define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
#define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
#endif
/* ---------------------------------------------------------------- */
/* Routines */
/* ---------------------------------------------------------------- */
#include "decimal32Symbols.h"
/* String conversions */
decimal32 * decimal32FromString(decimal32 *, const char *, decContext *);
char * decimal32ToString(const decimal32 *, char *);
char * decimal32ToEngString(const decimal32 *, char *);
/* decNumber conversions */
decimal32 * decimal32FromNumber(decimal32 *, const decNumber *,
decContext *);
decNumber * decimal32ToNumber(const decimal32 *, decNumber *);
/* Format-dependent utilities */
uint32_t decimal32IsCanonical(const decimal32 *);
decimal32 * decimal32Canonical(decimal32 *, const decimal32 *);
#endif

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/* Decimal 64-bit format module header for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal 64-bit format module header */
/* ------------------------------------------------------------------ */
#if !defined(DECIMAL64)
#define DECIMAL64
#define DEC64NAME "decimal64" /* Short name */
#define DEC64FULLNAME "Decimal 64-bit Number" /* Verbose name */
#define DEC64AUTHOR "Mike Cowlishaw" /* Who to blame */
/* parameters for decimal64s */
#define DECIMAL64_Bytes 8 /* length */
#define DECIMAL64_Pmax 16 /* maximum precision (digits) */
#define DECIMAL64_Emax 384 /* maximum adjusted exponent */
#define DECIMAL64_Emin -383 /* minimum adjusted exponent */
#define DECIMAL64_Bias 398 /* bias for the exponent */
#define DECIMAL64_String 24 /* maximum string length, +1 */
#define DECIMAL64_EconL 8 /* exp. continuation length */
/* highest biased exponent (Elimit-1) */
#define DECIMAL64_Ehigh (DECIMAL64_Emax+DECIMAL64_Bias-DECIMAL64_Pmax+1)
/* check enough digits, if pre-defined */
#if defined(DECNUMDIGITS)
#if (DECNUMDIGITS<DECIMAL64_Pmax)
#error decimal64.h needs pre-defined DECNUMDIGITS>=16 for safe use
#endif
#endif
#ifndef DECNUMDIGITS
#define DECNUMDIGITS DECIMAL64_Pmax /* size if not already defined*/
#endif
#ifndef DECNUMBER
#include "decNumber.h" /* context and number library */
#endif
/* Decimal 64-bit type, accessible by bytes */
typedef struct {
uint8_t bytes[DECIMAL64_Bytes]; /* decimal64: 1, 5, 8, 50 bits*/
} decimal64;
/* special values [top byte excluding sign bit; last two bits are */
/* don't-care for Infinity on input, last bit don't-care for NaN] */
#if !defined(DECIMAL_NaN)
#define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */
#define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */
#define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */
#endif
/* ---------------------------------------------------------------- */
/* Routines */
/* ---------------------------------------------------------------- */
#include "decimal64Symbols.h"
/* String conversions */
decimal64 * decimal64FromString(decimal64 *, const char *, decContext *);
char * decimal64ToString(const decimal64 *, char *);
char * decimal64ToEngString(const decimal64 *, char *);
/* decNumber conversions */
decimal64 * decimal64FromNumber(decimal64 *, const decNumber *,
decContext *);
decNumber * decimal64ToNumber(const decimal64 *, decNumber *);
/* Format-dependent utilities */
uint32_t decimal64IsCanonical(const decimal64 *);
decimal64 * decimal64Canonical(decimal64 *, const decimal64 *);
#endif

431
libdecnumber/decContext.c Normal file
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/* Decimal context module for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal Context module */
/* ------------------------------------------------------------------ */
/* This module comprises the routines for handling arithmetic */
/* context structures. */
/* ------------------------------------------------------------------ */
#include <string.h> /* for strcmp */
#include <stdio.h> /* for printf if DECCHECK */
#include "dconfig.h" /* for GCC definitions */
#include "decContext.h" /* context and base types */
#include "decNumberLocal.h" /* decNumber local types, etc. */
#if DECCHECK
/* compile-time endian tester [assumes sizeof(Int)>1] */
static const Int mfcone=1; /* constant 1 */
static const Flag *mfctop=(Flag *)&mfcone; /* -> top byte */
#define LITEND *mfctop /* named flag; 1=little-endian */
#endif
/* ------------------------------------------------------------------ */
/* 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 754r defaults, 32-bit */
/* DEC_INIT_DECIMAL64 -- select IEEE 754r defaults, 64-bit */
/* DEC_INIT_DECIMAL128 -- select IEEE 754r 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 */
}
#if DECCHECK
if (LITEND!=DECLITEND) {
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
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 */
/* ------------------------------------------------------------------ */
/* 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 */

8122
libdecnumber/decNumber.c Normal file
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566
libdecnumber/dpd/decimal128.c Normal file
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/* Decimal 128-bit format module for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal 128-bit format module */
/* ------------------------------------------------------------------ */
/* This module comprises the routines for decimal128 format numbers. */
/* Conversions are supplied to and from decNumber and String. */
/* */
/* This is used when decNumber provides operations, either for all */
/* operations or as a proxy between decNumber and decSingle. */
/* */
/* Error handling is the same as decNumber (qv.). */
/* ------------------------------------------------------------------ */
#include <string.h> /* [for memset/memcpy] */
#include <stdio.h> /* [for printf] */
#include "dconfig.h" /* GCC definitions */
#define DECNUMDIGITS 34 /* make decNumbers with space for 34 */
#include "decNumber.h" /* base number library */
#include "decNumberLocal.h" /* decNumber local types, etc. */
#include "decimal128.h" /* our primary include */
/* Utility routines and tables [in decimal64.c] */
extern const uInt COMBEXP[32], COMBMSD[32];
extern const uShort DPD2BIN[1024];
extern const uShort BIN2DPD[1000]; /* [not used] */
extern const uByte BIN2CHAR[4001];
extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
extern void decDigitsToDPD(const decNumber *, uInt *, Int);
#if DECTRACE || DECCHECK
void decimal128Show(const decimal128 *); /* for debug */
extern void decNumberShow(const decNumber *); /* .. */
#endif
/* Useful macro */
/* Clear a structure (e.g., a decNumber) */
#define DEC_clear(d) memset(d, 0, sizeof(*d))
/* ------------------------------------------------------------------ */
/* decimal128FromNumber -- convert decNumber to decimal128 */
/* */
/* ds is the target decimal128 */
/* dn is the source number (assumed valid) */
/* set is the context, used only for reporting errors */
/* */
/* The set argument is used only for status reporting and for the */
/* rounding mode (used if the coefficient is more than DECIMAL128_Pmax*/
/* digits or an overflow is detected). If the exponent is out of the */
/* valid range then Overflow or Underflow will be raised. */
/* After Underflow a subnormal result is possible. */
/* */
/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
/* by reducing its exponent and multiplying the coefficient by a */
/* power of ten, or if the exponent on a zero had to be clamped. */
/* ------------------------------------------------------------------ */
decimal128 * decimal128FromNumber(decimal128 *d128, const decNumber *dn,
decContext *set) {
uInt status=0; /* status accumulator */
Int ae; /* adjusted exponent */
decNumber dw; /* work */
decContext dc; /* .. */
uInt *pu; /* .. */
uInt comb, exp; /* .. */
uInt targar[4]={0,0,0,0}; /* target 128-bit */
#define targhi targar[3] /* name the word with the sign */
#define targmh targar[2] /* name the words */
#define targml targar[1] /* .. */
#define targlo targar[0] /* .. */
/* If the number has too many digits, or the exponent could be */
/* out of range then reduce the number under the appropriate */
/* constraints. This could push the number to Infinity or zero, */
/* so this check and rounding must be done before generating the */
/* decimal128] */
ae=dn->exponent+dn->digits-1; /* [0 if special] */
if (dn->digits>DECIMAL128_Pmax /* too many digits */
|| ae>DECIMAL128_Emax /* likely overflow */
|| ae<DECIMAL128_Emin) { /* likely underflow */
decContextDefault(&dc, DEC_INIT_DECIMAL128); /* [no traps] */
dc.round=set->round; /* use supplied rounding */
decNumberPlus(&dw, dn, &dc); /* (round and check) */
/* [this changes -0 to 0, so enforce the sign...] */
dw.bits|=dn->bits&DECNEG;
status=dc.status; /* save status */
dn=&dw; /* use the work number */
} /* maybe out of range */
if (dn->bits&DECSPECIAL) { /* a special value */
if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
else { /* sNaN or qNaN */
if ((*dn->lsu!=0 || dn->digits>1) /* non-zero coefficient */
&& (dn->digits<DECIMAL128_Pmax)) { /* coefficient fits */
decDigitsToDPD(dn, targar, 0);
}
if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24;
else targhi|=DECIMAL_sNaN<<24;
} /* a NaN */
} /* special */
else { /* is finite */
if (decNumberIsZero(dn)) { /* is a zero */
/* set and clamp exponent */
if (dn->exponent<-DECIMAL128_Bias) {
exp=0; /* low clamp */
status|=DEC_Clamped;
}
else {
exp=dn->exponent+DECIMAL128_Bias; /* bias exponent */
if (exp>DECIMAL128_Ehigh) { /* top clamp */
exp=DECIMAL128_Ehigh;
status|=DEC_Clamped;
}
}
comb=(exp>>9) & 0x18; /* msd=0, exp top 2 bits .. */
}
else { /* non-zero finite number */
uInt msd; /* work */
Int pad=0; /* coefficient pad digits */
/* the dn is known to fit, but it may need to be padded */
exp=(uInt)(dn->exponent+DECIMAL128_Bias); /* bias exponent */
if (exp>DECIMAL128_Ehigh) { /* fold-down case */
pad=exp-DECIMAL128_Ehigh;
exp=DECIMAL128_Ehigh; /* [to maximum] */
status|=DEC_Clamped;
}
/* [fastpath for common case is not a win, here] */
decDigitsToDPD(dn, targar, pad);
/* save and clear the top digit */
msd=targhi>>14;
targhi&=0x00003fff;
/* create the combination field */
if (msd>=8) comb=0x18 | ((exp>>11) & 0x06) | (msd & 0x01);
else comb=((exp>>9) & 0x18) | msd;
}
targhi|=comb<<26; /* add combination field .. */
targhi|=(exp&0xfff)<<14; /* .. and exponent continuation */
} /* finite */
if (dn->bits&DECNEG) targhi|=0x80000000; /* add sign bit */
/* now write to storage; this is endian */
pu=(uInt *)d128->bytes; /* overlay */
if (DECLITEND) {
pu[0]=targlo; /* directly store the low int */
pu[1]=targml; /* then the mid-low */
pu[2]=targmh; /* then the mid-high */
pu[3]=targhi; /* then the high int */
}
else {
pu[0]=targhi; /* directly store the high int */
pu[1]=targmh; /* then the mid-high */
pu[2]=targml; /* then the mid-low */
pu[3]=targlo; /* then the low int */
}
if (status!=0) decContextSetStatus(set, status); /* pass on status */
/* decimal128Show(d128); */
return d128;
} /* decimal128FromNumber */
/* ------------------------------------------------------------------ */
/* decimal128ToNumber -- convert decimal128 to decNumber */
/* d128 is the source decimal128 */
/* dn is the target number, with appropriate space */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decNumber * decimal128ToNumber(const decimal128 *d128, decNumber *dn) {
uInt msd; /* coefficient MSD */
uInt exp; /* exponent top two bits */
uInt comb; /* combination field */
const uInt *pu; /* work */
Int need; /* .. */
uInt sourar[4]; /* source 128-bit */
#define sourhi sourar[3] /* name the word with the sign */
#define sourmh sourar[2] /* and the mid-high word */
#define sourml sourar[1] /* and the mod-low word */
#define sourlo sourar[0] /* and the lowest word */
/* load source from storage; this is endian */
pu=(const uInt *)d128->bytes; /* overlay */
if (DECLITEND) {
sourlo=pu[0]; /* directly load the low int */
sourml=pu[1]; /* then the mid-low */
sourmh=pu[2]; /* then the mid-high */
sourhi=pu[3]; /* then the high int */
}
else {
sourhi=pu[0]; /* directly load the high int */
sourmh=pu[1]; /* then the mid-high */
sourml=pu[2]; /* then the mid-low */
sourlo=pu[3]; /* then the low int */
}
comb=(sourhi>>26)&0x1f; /* combination field */
decNumberZero(dn); /* clean number */
if (sourhi&0x80000000) dn->bits=DECNEG; /* set sign if negative */
msd=COMBMSD[comb]; /* decode the combination field */
exp=COMBEXP[comb]; /* .. */
if (exp==3) { /* is a special */
if (msd==0) {
dn->bits|=DECINF;
return dn; /* no coefficient needed */
}
else if (sourhi&0x02000000) dn->bits|=DECSNAN;
else dn->bits|=DECNAN;
msd=0; /* no top digit */
}
else { /* is a finite number */
dn->exponent=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; /* unbiased */
}
/* get the coefficient */
sourhi&=0x00003fff; /* clean coefficient continuation */
if (msd) { /* non-zero msd */
sourhi|=msd<<14; /* prefix to coefficient */
need=12; /* process 12 declets */
}
else { /* msd=0 */
if (sourhi) need=11; /* declets to process */
else if (sourmh) need=10;
else if (sourml) need=7;
else if (sourlo) need=4;
else return dn; /* easy: coefficient is 0 */
} /*msd=0 */
decDigitsFromDPD(dn, sourar, need); /* process declets */
/* decNumberShow(dn); */
return dn;
} /* decimal128ToNumber */
/* ------------------------------------------------------------------ */
/* to-scientific-string -- conversion to numeric string */
/* to-engineering-string -- conversion to numeric string */
/* */
/* decimal128ToString(d128, string); */
/* decimal128ToEngString(d128, string); */
/* */
/* d128 is the decimal128 format number to convert */
/* string is the string where the result will be laid out */
/* */
/* string must be at least 24 characters */
/* */
/* No error is possible, and no status can be set. */
/* ------------------------------------------------------------------ */
char * decimal128ToEngString(const decimal128 *d128, char *string){
decNumber dn; /* work */
decimal128ToNumber(d128, &dn);
decNumberToEngString(&dn, string);
return string;
} /* decimal128ToEngString */
char * decimal128ToString(const decimal128 *d128, char *string){
uInt msd; /* coefficient MSD */
Int exp; /* exponent top two bits or full */
uInt comb; /* combination field */
char *cstart; /* coefficient start */
char *c; /* output pointer in string */
const uInt *pu; /* work */
char *s, *t; /* .. (source, target) */
Int dpd; /* .. */
Int pre, e; /* .. */
const uByte *u; /* .. */
uInt sourar[4]; /* source 128-bit */
#define sourhi sourar[3] /* name the word with the sign */
#define sourmh sourar[2] /* and the mid-high word */
#define sourml sourar[1] /* and the mod-low word */
#define sourlo sourar[0] /* and the lowest word */
/* load source from storage; this is endian */
pu=(const uInt *)d128->bytes; /* overlay */
if (DECLITEND) {
sourlo=pu[0]; /* directly load the low int */
sourml=pu[1]; /* then the mid-low */
sourmh=pu[2]; /* then the mid-high */
sourhi=pu[3]; /* then the high int */
}
else {
sourhi=pu[0]; /* directly load the high int */
sourmh=pu[1]; /* then the mid-high */
sourml=pu[2]; /* then the mid-low */
sourlo=pu[3]; /* then the low int */
}
c=string; /* where result will go */
if (((Int)sourhi)<0) *c++='-'; /* handle sign */
comb=(sourhi>>26)&0x1f; /* combination field */
msd=COMBMSD[comb]; /* decode the combination field */
exp=COMBEXP[comb]; /* .. */
if (exp==3) {
if (msd==0) { /* infinity */
strcpy(c, "Inf");
strcpy(c+3, "inity");
return string; /* easy */
}
if (sourhi&0x02000000) *c++='s'; /* sNaN */
strcpy(c, "NaN"); /* complete word */
c+=3; /* step past */
if (sourlo==0 && sourml==0 && sourmh==0
&& (sourhi&0x0003ffff)==0) return string; /* zero payload */
/* otherwise drop through to add integer; set correct exp */
exp=0; msd=0; /* setup for following code */
}
else exp=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; /* unbiased */
/* convert 34 digits of significand to characters */
cstart=c; /* save start of coefficient */
if (msd) *c++='0'+(char)msd; /* non-zero most significant digit */
/* Now decode the declets. After extracting each one, it is */
/* decoded to binary and then to a 4-char sequence by table lookup; */
/* the 4-chars are a 1-char length (significant digits, except 000 */
/* has length 0). This allows us to left-align the first declet */
/* with non-zero content, then remaining ones are full 3-char */
/* length. We use fixed-length memcpys because variable-length */
/* causes a subroutine call in GCC. (These are length 4 for speed */
/* and are safe because the array has an extra terminator byte.) */
#define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
dpd=(sourhi>>4)&0x3ff; /* declet 1 */
dpd2char;
dpd=((sourhi&0xf)<<6) | (sourmh>>26); /* declet 2 */
dpd2char;
dpd=(sourmh>>16)&0x3ff; /* declet 3 */
dpd2char;
dpd=(sourmh>>6)&0x3ff; /* declet 4 */
dpd2char;
dpd=((sourmh&0x3f)<<4) | (sourml>>28); /* declet 5 */
dpd2char;
dpd=(sourml>>18)&0x3ff; /* declet 6 */
dpd2char;
dpd=(sourml>>8)&0x3ff; /* declet 7 */
dpd2char;
dpd=((sourml&0xff)<<2) | (sourlo>>30); /* declet 8 */
dpd2char;
dpd=(sourlo>>20)&0x3ff; /* declet 9 */
dpd2char;
dpd=(sourlo>>10)&0x3ff; /* declet 10 */
dpd2char;
dpd=(sourlo)&0x3ff; /* declet 11 */
dpd2char;
if (c==cstart) *c++='0'; /* all zeros -- make 0 */
if (exp==0) { /* integer or NaN case -- easy */
*c='\0'; /* terminate */
return string;
}
/* non-0 exponent */
e=0; /* assume no E */
pre=c-cstart+exp;
/* [here, pre-exp is the digits count (==1 for zero)] */
if (exp>0 || pre<-5) { /* need exponential form */
e=pre-1; /* calculate E value */
pre=1; /* assume one digit before '.' */
} /* exponential form */
/* modify the coefficient, adding 0s, '.', and E+nn as needed */
s=c-1; /* source (LSD) */
if (pre>0) { /* ddd.ddd (plain), perhaps with E */
char *dotat=cstart+pre;
if (dotat<c) { /* if embedded dot needed... */
t=c; /* target */
for (; s>=dotat; s--, t--) *t=*s; /* open the gap; leave t at gap */
*t='.'; /* insert the dot */
c++; /* length increased by one */
}
/* finally add the E-part, if needed; it will never be 0, and has */
/* a maximum length of 4 digits */
if (e!=0) {
*c++='E'; /* starts with E */
*c++='+'; /* assume positive */
if (e<0) {
*(c-1)='-'; /* oops, need '-' */
e=-e; /* uInt, please */
}
if (e<1000) { /* 3 (or fewer) digits case */
u=&BIN2CHAR[e*4]; /* -> length byte */
memcpy(c, u+4-*u, 4); /* copy fixed 4 characters [is safe] */
c+=*u; /* bump pointer appropriately */
}
else { /* 4-digits */
Int thou=((e>>3)*1049)>>17; /* e/1000 */
Int rem=e-(1000*thou); /* e%1000 */
*c++='0'+(char)thou;
u=&BIN2CHAR[rem*4]; /* -> length byte */
memcpy(c, u+1, 4); /* copy fixed 3+1 characters [is safe] */
c+=3; /* bump pointer, always 3 digits */
}
}
*c='\0'; /* add terminator */
/*printf("res %s\n", string); */
return string;
} /* pre>0 */
/* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
t=c+1-pre;
*(t+1)='\0'; /* can add terminator now */
for (; s>=cstart; s--, t--) *t=*s; /* shift whole coefficient right */
c=cstart;
*c++='0'; /* always starts with 0. */
*c++='.';
for (; pre<0; pre++) *c++='0'; /* add any 0's after '.' */
/*printf("res %s\n", string); */
return string;
} /* decimal128ToString */
/* ------------------------------------------------------------------ */
/* to-number -- conversion from numeric string */
/* */
/* decimal128FromString(result, string, set); */
/* */
/* result is the decimal128 format number which gets the result of */
/* the conversion */
/* *string is the character string which should contain a valid */
/* number (which may be a special value) */
/* set is the context */
/* */
/* The context is supplied to this routine is used for error handling */
/* (setting of status and traps) and for the rounding mode, only. */
/* If an error occurs, the result will be a valid decimal128 NaN. */
/* ------------------------------------------------------------------ */
decimal128 * decimal128FromString(decimal128 *result, const char *string,
decContext *set) {
decContext dc; /* work */
decNumber dn; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL128); /* no traps, please */
dc.round=set->round; /* use supplied rounding */
decNumberFromString(&dn, string, &dc); /* will round if needed */
decimal128FromNumber(result, &dn, &dc);
if (dc.status!=0) { /* something happened */
decContextSetStatus(set, dc.status); /* .. pass it on */
}
return result;
} /* decimal128FromString */
/* ------------------------------------------------------------------ */
/* decimal128IsCanonical -- test whether encoding is canonical */
/* d128 is the source decimal128 */
/* returns 1 if the encoding of d128 is canonical, 0 otherwise */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uint32_t decimal128IsCanonical(const decimal128 *d128) {
decNumber dn; /* work */
decimal128 canon; /* .. */
decContext dc; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL128);
decimal128ToNumber(d128, &dn);
decimal128FromNumber(&canon, &dn, &dc);/* canon will now be canonical */
return memcmp(d128, &canon, DECIMAL128_Bytes)==0;
} /* decimal128IsCanonical */
/* ------------------------------------------------------------------ */
/* decimal128Canonical -- copy an encoding, ensuring it is canonical */
/* d128 is the source decimal128 */
/* result is the target (may be the same decimal128) */
/* returns result */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decimal128 * decimal128Canonical(decimal128 *result, const decimal128 *d128) {
decNumber dn; /* work */
decContext dc; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL128);
decimal128ToNumber(d128, &dn);
decimal128FromNumber(result, &dn, &dc);/* result will now be canonical */
return result;
} /* decimal128Canonical */
#if DECTRACE || DECCHECK
/* Macros for accessing decimal128 fields. These assume the argument
is a reference (pointer) to the decimal128 structure, and the
decimal128 is in network byte order (big-endian) */
/* Get sign */
#define decimal128Sign(d) ((unsigned)(d)->bytes[0]>>7)
/* Get combination field */
#define decimal128Comb(d) (((d)->bytes[0] & 0x7c)>>2)
/* Get exponent continuation [does not remove bias] */
#define decimal128ExpCon(d) ((((d)->bytes[0] & 0x03)<<10) \
| ((unsigned)(d)->bytes[1]<<2) \
| ((unsigned)(d)->bytes[2]>>6))
/* Set sign [this assumes sign previously 0] */
#define decimal128SetSign(d, b) { \
(d)->bytes[0]|=((unsigned)(b)<<7);}
/* Set exponent continuation [does not apply bias] */
/* This assumes range has been checked and exponent previously 0; */
/* type of exponent must be unsigned */
#define decimal128SetExpCon(d, e) { \
(d)->bytes[0]|=(uint8_t)((e)>>10); \
(d)->bytes[1] =(uint8_t)(((e)&0x3fc)>>2); \
(d)->bytes[2]|=(uint8_t)(((e)&0x03)<<6);}
/* ------------------------------------------------------------------ */
/* decimal128Show -- display a decimal128 in hexadecimal [debug aid] */
/* d128 -- the number to show */
/* ------------------------------------------------------------------ */
/* Also shows sign/cob/expconfields extracted */
void decimal128Show(const decimal128 *d128) {
char buf[DECIMAL128_Bytes*2+1];
Int i, j=0;
if (DECLITEND) {
for (i=0; i<DECIMAL128_Bytes; i++, j+=2) {
sprintf(&buf[j], "%02x", d128->bytes[15-i]);
}
printf(" D128> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
d128->bytes[15]>>7, (d128->bytes[15]>>2)&0x1f,
((d128->bytes[15]&0x3)<<10)|(d128->bytes[14]<<2)|
(d128->bytes[13]>>6));
}
else {
for (i=0; i<DECIMAL128_Bytes; i++, j+=2) {
sprintf(&buf[j], "%02x", d128->bytes[i]);
}
printf(" D128> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
decimal128Sign(d128), decimal128Comb(d128),
decimal128ExpCon(d128));
}
} /* decimal128Show */
#endif

42
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/* Local definitions for use with the decNumber C Library.
Copyright (C) 2007, 2009 Free Software Foundation, Inc.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.
You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
<http://www.gnu.org/licenses/>. */
#if !defined(DECIMAL128LOCAL)
/* The compiler needs sign manipulation functions for decimal128 which
are not part of the decNumber package. */
/* Set sign; this assumes the sign was previously zero. */
#define decimal128SetSign(d,b) \
{ (d)->bytes[WORDS_BIGENDIAN ? 0 : 15] |= ((unsigned) (b) << 7); }
/* Clear sign. */
#define decimal128ClearSign(d) \
{ (d)->bytes[WORDS_BIGENDIAN ? 0 : 15] &= ~0x80; }
/* Flip sign. */
#define decimal128FlipSign(d) \
{ (d)->bytes[WORDS_BIGENDIAN ? 0 : 15] ^= 0x80; }
#endif

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/* Decimal 32-bit format module for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal 32-bit format module */
/* ------------------------------------------------------------------ */
/* This module comprises the routines for decimal32 format numbers. */
/* Conversions are supplied to and from decNumber and String. */
/* */
/* This is used when decNumber provides operations, either for all */
/* operations or as a proxy between decNumber and decSingle. */
/* */
/* Error handling is the same as decNumber (qv.). */
/* ------------------------------------------------------------------ */
#include <string.h> /* [for memset/memcpy] */
#include <stdio.h> /* [for printf] */
#include "dconfig.h" /* GCC definitions */
#define DECNUMDIGITS 7 /* make decNumbers with space for 7 */
#include "decNumber.h" /* base number library */
#include "decNumberLocal.h" /* decNumber local types, etc. */
#include "decimal32.h" /* our primary include */
/* Utility tables and routines [in decimal64.c] */
extern const uInt COMBEXP[32], COMBMSD[32];
extern const uShort DPD2BIN[1024];
extern const uShort BIN2DPD[1000];
extern const uByte BIN2CHAR[4001];
extern void decDigitsToDPD(const decNumber *, uInt *, Int);
extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
#if DECTRACE || DECCHECK
void decimal32Show(const decimal32 *); /* for debug */
extern void decNumberShow(const decNumber *); /* .. */
#endif
/* Useful macro */
/* Clear a structure (e.g., a decNumber) */
#define DEC_clear(d) memset(d, 0, sizeof(*d))
/* ------------------------------------------------------------------ */
/* decimal32FromNumber -- convert decNumber to decimal32 */
/* */
/* ds is the target decimal32 */
/* dn is the source number (assumed valid) */
/* set is the context, used only for reporting errors */
/* */
/* The set argument is used only for status reporting and for the */
/* rounding mode (used if the coefficient is more than DECIMAL32_Pmax */
/* digits or an overflow is detected). If the exponent is out of the */
/* valid range then Overflow or Underflow will be raised. */
/* After Underflow a subnormal result is possible. */
/* */
/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
/* by reducing its exponent and multiplying the coefficient by a */
/* power of ten, or if the exponent on a zero had to be clamped. */
/* ------------------------------------------------------------------ */
decimal32 * decimal32FromNumber(decimal32 *d32, const decNumber *dn,
decContext *set) {
uInt status=0; /* status accumulator */
Int ae; /* adjusted exponent */
decNumber dw; /* work */
decContext dc; /* .. */
uInt *pu; /* .. */
uInt comb, exp; /* .. */
uInt targ=0; /* target 32-bit */
/* If the number has too many digits, or the exponent could be */
/* out of range then reduce the number under the appropriate */
/* constraints. This could push the number to Infinity or zero, */
/* so this check and rounding must be done before generating the */
/* decimal32] */
ae=dn->exponent+dn->digits-1; /* [0 if special] */
if (dn->digits>DECIMAL32_Pmax /* too many digits */
|| ae>DECIMAL32_Emax /* likely overflow */
|| ae<DECIMAL32_Emin) { /* likely underflow */
decContextDefault(&dc, DEC_INIT_DECIMAL32); /* [no traps] */
dc.round=set->round; /* use supplied rounding */
decNumberPlus(&dw, dn, &dc); /* (round and check) */
/* [this changes -0 to 0, so enforce the sign...] */
dw.bits|=dn->bits&DECNEG;
status=dc.status; /* save status */
dn=&dw; /* use the work number */
} /* maybe out of range */
if (dn->bits&DECSPECIAL) { /* a special value */
if (dn->bits&DECINF) targ=DECIMAL_Inf<<24;
else { /* sNaN or qNaN */
if ((*dn->lsu!=0 || dn->digits>1) /* non-zero coefficient */
&& (dn->digits<DECIMAL32_Pmax)) { /* coefficient fits */
decDigitsToDPD(dn, &targ, 0);
}
if (dn->bits&DECNAN) targ|=DECIMAL_NaN<<24;
else targ|=DECIMAL_sNaN<<24;
} /* a NaN */
} /* special */
else { /* is finite */
if (decNumberIsZero(dn)) { /* is a zero */
/* set and clamp exponent */
if (dn->exponent<-DECIMAL32_Bias) {
exp=0; /* low clamp */
status|=DEC_Clamped;
}
else {
exp=dn->exponent+DECIMAL32_Bias; /* bias exponent */
if (exp>DECIMAL32_Ehigh) { /* top clamp */
exp=DECIMAL32_Ehigh;
status|=DEC_Clamped;
}
}
comb=(exp>>3) & 0x18; /* msd=0, exp top 2 bits .. */
}
else { /* non-zero finite number */
uInt msd; /* work */
Int pad=0; /* coefficient pad digits */
/* the dn is known to fit, but it may need to be padded */
exp=(uInt)(dn->exponent+DECIMAL32_Bias); /* bias exponent */
if (exp>DECIMAL32_Ehigh) { /* fold-down case */
pad=exp-DECIMAL32_Ehigh;
exp=DECIMAL32_Ehigh; /* [to maximum] */
status|=DEC_Clamped;
}
/* fastpath common case */
if (DECDPUN==3 && pad==0) {
targ=BIN2DPD[dn->lsu[0]];
if (dn->digits>3) targ|=(uInt)(BIN2DPD[dn->lsu[1]])<<10;
msd=(dn->digits==7 ? dn->lsu[2] : 0);
}
else { /* general case */
decDigitsToDPD(dn, &targ, pad);
/* save and clear the top digit */
msd=targ>>20;
targ&=0x000fffff;
}
/* create the combination field */
if (msd>=8) comb=0x18 | ((exp>>5) & 0x06) | (msd & 0x01);
else comb=((exp>>3) & 0x18) | msd;
}
targ|=comb<<26; /* add combination field .. */
targ|=(exp&0x3f)<<20; /* .. and exponent continuation */
} /* finite */
if (dn->bits&DECNEG) targ|=0x80000000; /* add sign bit */
/* now write to storage; this is endian */
pu=(uInt *)d32->bytes; /* overlay */
*pu=targ; /* directly store the int */
if (status!=0) decContextSetStatus(set, status); /* pass on status */
/* decimal32Show(d32); */
return d32;
} /* decimal32FromNumber */
/* ------------------------------------------------------------------ */
/* decimal32ToNumber -- convert decimal32 to decNumber */
/* d32 is the source decimal32 */
/* dn is the target number, with appropriate space */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decNumber * decimal32ToNumber(const decimal32 *d32, decNumber *dn) {
uInt msd; /* coefficient MSD */
uInt exp; /* exponent top two bits */
uInt comb; /* combination field */
uInt sour; /* source 32-bit */
const uInt *pu; /* work */
/* load source from storage; this is endian */
pu=(const uInt *)d32->bytes; /* overlay */
sour=*pu; /* directly load the int */
comb=(sour>>26)&0x1f; /* combination field */
decNumberZero(dn); /* clean number */
if (sour&0x80000000) dn->bits=DECNEG; /* set sign if negative */
msd=COMBMSD[comb]; /* decode the combination field */
exp=COMBEXP[comb]; /* .. */
if (exp==3) { /* is a special */
if (msd==0) {
dn->bits|=DECINF;
return dn; /* no coefficient needed */
}
else if (sour&0x02000000) dn->bits|=DECSNAN;
else dn->bits|=DECNAN;
msd=0; /* no top digit */
}
else { /* is a finite number */
dn->exponent=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; /* unbiased */
}
/* get the coefficient */
sour&=0x000fffff; /* clean coefficient continuation */
if (msd) { /* non-zero msd */
sour|=msd<<20; /* prefix to coefficient */
decDigitsFromDPD(dn, &sour, 3); /* process 3 declets */
return dn;
}
/* msd=0 */
if (!sour) return dn; /* easy: coefficient is 0 */
if (sour&0x000ffc00) /* need 2 declets? */
decDigitsFromDPD(dn, &sour, 2); /* process 2 declets */
else
decDigitsFromDPD(dn, &sour, 1); /* process 1 declet */
return dn;
} /* decimal32ToNumber */
/* ------------------------------------------------------------------ */
/* to-scientific-string -- conversion to numeric string */
/* to-engineering-string -- conversion to numeric string */
/* */
/* decimal32ToString(d32, string); */
/* decimal32ToEngString(d32, string); */
/* */
/* d32 is the decimal32 format number to convert */
/* string is the string where the result will be laid out */
/* */
/* string must be at least 24 characters */
/* */
/* No error is possible, and no status can be set. */
/* ------------------------------------------------------------------ */
char * decimal32ToEngString(const decimal32 *d32, char *string){
decNumber dn; /* work */
decimal32ToNumber(d32, &dn);
decNumberToEngString(&dn, string);
return string;
} /* decimal32ToEngString */
char * decimal32ToString(const decimal32 *d32, char *string){
uInt msd; /* coefficient MSD */
Int exp; /* exponent top two bits or full */
uInt comb; /* combination field */
char *cstart; /* coefficient start */
char *c; /* output pointer in string */
const uInt *pu; /* work */
const uByte *u; /* .. */
char *s, *t; /* .. (source, target) */
Int dpd; /* .. */
Int pre, e; /* .. */
uInt sour; /* source 32-bit */
/* load source from storage; this is endian */
pu=(const uInt *)d32->bytes; /* overlay */
sour=*pu; /* directly load the int */
c=string; /* where result will go */
if (((Int)sour)<0) *c++='-'; /* handle sign */
comb=(sour>>26)&0x1f; /* combination field */
msd=COMBMSD[comb]; /* decode the combination field */
exp=COMBEXP[comb]; /* .. */
if (exp==3) {
if (msd==0) { /* infinity */
strcpy(c, "Inf");
strcpy(c+3, "inity");
return string; /* easy */
}
if (sour&0x02000000) *c++='s'; /* sNaN */
strcpy(c, "NaN"); /* complete word */
c+=3; /* step past */
if ((sour&0x000fffff)==0) return string; /* zero payload */
/* otherwise drop through to add integer; set correct exp */
exp=0; msd=0; /* setup for following code */
}
else exp=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; /* unbiased */
/* convert 7 digits of significand to characters */
cstart=c; /* save start of coefficient */
if (msd) *c++='0'+(char)msd; /* non-zero most significant digit */
/* Now decode the declets. After extracting each one, it is */
/* decoded to binary and then to a 4-char sequence by table lookup; */
/* the 4-chars are a 1-char length (significant digits, except 000 */
/* has length 0). This allows us to left-align the first declet */
/* with non-zero content, then remaining ones are full 3-char */
/* length. We use fixed-length memcpys because variable-length */
/* causes a subroutine call in GCC. (These are length 4 for speed */
/* and are safe because the array has an extra terminator byte.) */
#define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
dpd=(sour>>10)&0x3ff; /* declet 1 */
dpd2char;
dpd=(sour)&0x3ff; /* declet 2 */
dpd2char;
if (c==cstart) *c++='0'; /* all zeros -- make 0 */
if (exp==0) { /* integer or NaN case -- easy */
*c='\0'; /* terminate */
return string;
}
/* non-0 exponent */
e=0; /* assume no E */
pre=c-cstart+exp;
/* [here, pre-exp is the digits count (==1 for zero)] */
if (exp>0 || pre<-5) { /* need exponential form */
e=pre-1; /* calculate E value */
pre=1; /* assume one digit before '.' */
} /* exponential form */
/* modify the coefficient, adding 0s, '.', and E+nn as needed */
s=c-1; /* source (LSD) */
if (pre>0) { /* ddd.ddd (plain), perhaps with E */
char *dotat=cstart+pre;
if (dotat<c) { /* if embedded dot needed... */
t=c; /* target */
for (; s>=dotat; s--, t--) *t=*s; /* open the gap; leave t at gap */
*t='.'; /* insert the dot */
c++; /* length increased by one */
}
/* finally add the E-part, if needed; it will never be 0, and has */
/* a maximum length of 3 digits (E-101 case) */
if (e!=0) {
*c++='E'; /* starts with E */
*c++='+'; /* assume positive */
if (e<0) {
*(c-1)='-'; /* oops, need '-' */
e=-e; /* uInt, please */
}
u=&BIN2CHAR[e*4]; /* -> length byte */
memcpy(c, u+4-*u, 4); /* copy fixed 4 characters [is safe] */
c+=*u; /* bump pointer appropriately */
}
*c='\0'; /* add terminator */
/*printf("res %s\n", string); */
return string;
} /* pre>0 */
/* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
t=c+1-pre;
*(t+1)='\0'; /* can add terminator now */
for (; s>=cstart; s--, t--) *t=*s; /* shift whole coefficient right */
c=cstart;
*c++='0'; /* always starts with 0. */
*c++='.';
for (; pre<0; pre++) *c++='0'; /* add any 0's after '.' */
/*printf("res %s\n", string); */
return string;
} /* decimal32ToString */
/* ------------------------------------------------------------------ */
/* to-number -- conversion from numeric string */
/* */
/* decimal32FromString(result, string, set); */
/* */
/* result is the decimal32 format number which gets the result of */
/* the conversion */
/* *string is the character string which should contain a valid */
/* number (which may be a special value) */
/* set is the context */
/* */
/* The context is supplied to this routine is used for error handling */
/* (setting of status and traps) and for the rounding mode, only. */
/* If an error occurs, the result will be a valid decimal32 NaN. */
/* ------------------------------------------------------------------ */
decimal32 * decimal32FromString(decimal32 *result, const char *string,
decContext *set) {
decContext dc; /* work */
decNumber dn; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL32); /* no traps, please */
dc.round=set->round; /* use supplied rounding */
decNumberFromString(&dn, string, &dc); /* will round if needed */
decimal32FromNumber(result, &dn, &dc);
if (dc.status!=0) { /* something happened */
decContextSetStatus(set, dc.status); /* .. pass it on */
}
return result;
} /* decimal32FromString */
/* ------------------------------------------------------------------ */
/* decimal32IsCanonical -- test whether encoding is canonical */
/* d32 is the source decimal32 */
/* returns 1 if the encoding of d32 is canonical, 0 otherwise */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uint32_t decimal32IsCanonical(const decimal32 *d32) {
decNumber dn; /* work */
decimal32 canon; /* .. */
decContext dc; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL32);
decimal32ToNumber(d32, &dn);
decimal32FromNumber(&canon, &dn, &dc);/* canon will now be canonical */
return memcmp(d32, &canon, DECIMAL32_Bytes)==0;
} /* decimal32IsCanonical */
/* ------------------------------------------------------------------ */
/* decimal32Canonical -- copy an encoding, ensuring it is canonical */
/* d32 is the source decimal32 */
/* result is the target (may be the same decimal32) */
/* returns result */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decimal32 * decimal32Canonical(decimal32 *result, const decimal32 *d32) {
decNumber dn; /* work */
decContext dc; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL32);
decimal32ToNumber(d32, &dn);
decimal32FromNumber(result, &dn, &dc);/* result will now be canonical */
return result;
} /* decimal32Canonical */
#if DECTRACE || DECCHECK
/* Macros for accessing decimal32 fields. These assume the argument
is a reference (pointer) to the decimal32 structure, and the
decimal32 is in network byte order (big-endian) */
/* Get sign */
#define decimal32Sign(d) ((unsigned)(d)->bytes[0]>>7)
/* Get combination field */
#define decimal32Comb(d) (((d)->bytes[0] & 0x7c)>>2)
/* Get exponent continuation [does not remove bias] */
#define decimal32ExpCon(d) ((((d)->bytes[0] & 0x03)<<4) \
| ((unsigned)(d)->bytes[1]>>4))
/* Set sign [this assumes sign previously 0] */
#define decimal32SetSign(d, b) { \
(d)->bytes[0]|=((unsigned)(b)<<7);}
/* Set exponent continuation [does not apply bias] */
/* This assumes range has been checked and exponent previously 0; */
/* type of exponent must be unsigned */
#define decimal32SetExpCon(d, e) { \
(d)->bytes[0]|=(uint8_t)((e)>>4); \
(d)->bytes[1]|=(uint8_t)(((e)&0x0F)<<4);}
/* ------------------------------------------------------------------ */
/* decimal32Show -- display a decimal32 in hexadecimal [debug aid] */
/* d32 -- the number to show */
/* ------------------------------------------------------------------ */
/* Also shows sign/cob/expconfields extracted - valid bigendian only */
void decimal32Show(const decimal32 *d32) {
char buf[DECIMAL32_Bytes*2+1];
Int i, j=0;
if (DECLITEND) {
for (i=0; i<DECIMAL32_Bytes; i++, j+=2) {
sprintf(&buf[j], "%02x", d32->bytes[3-i]);
}
printf(" D32> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
d32->bytes[3]>>7, (d32->bytes[3]>>2)&0x1f,
((d32->bytes[3]&0x3)<<4)| (d32->bytes[2]>>4));
}
else {
for (i=0; i<DECIMAL32_Bytes; i++, j+=2) {
sprintf(&buf[j], "%02x", d32->bytes[i]);
}
printf(" D32> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
decimal32Sign(d32), decimal32Comb(d32), decimal32ExpCon(d32));
}
} /* decimal32Show */
#endif

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/* Decimal 64-bit format module for the decNumber C Library.
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
Contributed by IBM Corporation. Author Mike Cowlishaw.
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
In addition to the permissions in the GNU General Public License,
the Free Software Foundation gives you unlimited permission to link
the compiled version of this file into combinations with other
programs, and to distribute those combinations without any
restriction coming from the use of this file. (The General Public
License restrictions do apply in other respects; for example, they
cover modification of the file, and distribution when not linked
into a combine executable.)
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* ------------------------------------------------------------------ */
/* Decimal 64-bit format module */
/* ------------------------------------------------------------------ */
/* This module comprises the routines for decimal64 format numbers. */
/* Conversions are supplied to and from decNumber and String. */
/* */
/* This is used when decNumber provides operations, either for all */
/* operations or as a proxy between decNumber and decSingle. */
/* */
/* Error handling is the same as decNumber (qv.). */
/* ------------------------------------------------------------------ */
#include <string.h> /* [for memset/memcpy] */
#include <stdio.h> /* [for printf] */
#include "dconfig.h" /* GCC definitions */
#define DECNUMDIGITS 16 /* make decNumbers with space for 16 */
#include "decNumber.h" /* base number library */
#include "decNumberLocal.h" /* decNumber local types, etc. */
#include "decimal64.h" /* our primary include */
/* Utility routines and tables [in decimal64.c]; externs for C++ */
extern const uInt COMBEXP[32], COMBMSD[32];
extern const uShort DPD2BIN[1024];
extern const uShort BIN2DPD[1000];
extern const uByte BIN2CHAR[4001];
extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
extern void decDigitsToDPD(const decNumber *, uInt *, Int);
#if DECTRACE || DECCHECK
void decimal64Show(const decimal64 *); /* for debug */
extern void decNumberShow(const decNumber *); /* .. */
#endif
/* Useful macro */
/* Clear a structure (e.g., a decNumber) */
#define DEC_clear(d) memset(d, 0, sizeof(*d))
/* define and include the tables to use for conversions */
#define DEC_BIN2CHAR 1
#define DEC_DPD2BIN 1
#define DEC_BIN2DPD 1 /* used for all sizes */
#include "decDPD.h" /* lookup tables */
/* ------------------------------------------------------------------ */
/* decimal64FromNumber -- convert decNumber to decimal64 */
/* */
/* ds is the target decimal64 */
/* dn is the source number (assumed valid) */
/* set is the context, used only for reporting errors */
/* */
/* The set argument is used only for status reporting and for the */
/* rounding mode (used if the coefficient is more than DECIMAL64_Pmax */
/* digits or an overflow is detected). If the exponent is out of the */
/* valid range then Overflow or Underflow will be raised. */
/* After Underflow a subnormal result is possible. */
/* */
/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
/* by reducing its exponent and multiplying the coefficient by a */
/* power of ten, or if the exponent on a zero had to be clamped. */
/* ------------------------------------------------------------------ */
decimal64 * decimal64FromNumber(decimal64 *d64, const decNumber *dn,
decContext *set) {
uInt status=0; /* status accumulator */
Int ae; /* adjusted exponent */
decNumber dw; /* work */
decContext dc; /* .. */
uInt *pu; /* .. */
uInt comb, exp; /* .. */
uInt targar[2]={0, 0}; /* target 64-bit */
#define targhi targar[1] /* name the word with the sign */
#define targlo targar[0] /* and the other */
/* If the number has too many digits, or the exponent could be */
/* out of range then reduce the number under the appropriate */
/* constraints. This could push the number to Infinity or zero, */
/* so this check and rounding must be done before generating the */
/* decimal64] */
ae=dn->exponent+dn->digits-1; /* [0 if special] */
if (dn->digits>DECIMAL64_Pmax /* too many digits */
|| ae>DECIMAL64_Emax /* likely overflow */
|| ae<DECIMAL64_Emin) { /* likely underflow */
decContextDefault(&dc, DEC_INIT_DECIMAL64); /* [no traps] */
dc.round=set->round; /* use supplied rounding */
decNumberPlus(&dw, dn, &dc); /* (round and check) */
/* [this changes -0 to 0, so enforce the sign...] */
dw.bits|=dn->bits&DECNEG;
status=dc.status; /* save status */
dn=&dw; /* use the work number */
} /* maybe out of range */
if (dn->bits&DECSPECIAL) { /* a special value */
if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
else { /* sNaN or qNaN */
if ((*dn->lsu!=0 || dn->digits>1) /* non-zero coefficient */
&& (dn->digits<DECIMAL64_Pmax)) { /* coefficient fits */
decDigitsToDPD(dn, targar, 0);
}
if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24;
else targhi|=DECIMAL_sNaN<<24;
} /* a NaN */
} /* special */
else { /* is finite */
if (decNumberIsZero(dn)) { /* is a zero */
/* set and clamp exponent */
if (dn->exponent<-DECIMAL64_Bias) {
exp=0; /* low clamp */
status|=DEC_Clamped;
}
else {
exp=dn->exponent+DECIMAL64_Bias; /* bias exponent */
if (exp>DECIMAL64_Ehigh) { /* top clamp */
exp=DECIMAL64_Ehigh;
status|=DEC_Clamped;
}
}
comb=(exp>>5) & 0x18; /* msd=0, exp top 2 bits .. */
}
else { /* non-zero finite number */
uInt msd; /* work */
Int pad=0; /* coefficient pad digits */
/* the dn is known to fit, but it may need to be padded */
exp=(uInt)(dn->exponent+DECIMAL64_Bias); /* bias exponent */
if (exp>DECIMAL64_Ehigh) { /* fold-down case */
pad=exp-DECIMAL64_Ehigh;
exp=DECIMAL64_Ehigh; /* [to maximum] */
status|=DEC_Clamped;
}
/* fastpath common case */
if (DECDPUN==3 && pad==0) {
uInt dpd[6]={0,0,0,0,0,0};
uInt i;
Int d=dn->digits;
for (i=0; d>0; i++, d-=3) dpd[i]=BIN2DPD[dn->lsu[i]];
targlo =dpd[0];
targlo|=dpd[1]<<10;
targlo|=dpd[2]<<20;
if (dn->digits>6) {
targlo|=dpd[3]<<30;
targhi =dpd[3]>>2;
targhi|=dpd[4]<<8;
}
msd=dpd[5]; /* [did not really need conversion] */
}
else { /* general case */
decDigitsToDPD(dn, targar, pad);
/* save and clear the top digit */
msd=targhi>>18;
targhi&=0x0003ffff;
}
/* create the combination field */
if (msd>=8) comb=0x18 | ((exp>>7) & 0x06) | (msd & 0x01);
else comb=((exp>>5) & 0x18) | msd;
}
targhi|=comb<<26; /* add combination field .. */
targhi|=(exp&0xff)<<18; /* .. and exponent continuation */
} /* finite */
if (dn->bits&DECNEG) targhi|=0x80000000; /* add sign bit */
/* now write to storage; this is now always endian */
pu=(uInt *)d64->bytes; /* overlay */
if (DECLITEND) {
pu[0]=targar[0]; /* directly store the low int */
pu[1]=targar[1]; /* then the high int */
}
else {
pu[0]=targar[1]; /* directly store the high int */
pu[1]=targar[0]; /* then the low int */
}
if (status!=0) decContextSetStatus(set, status); /* pass on status */
/* decimal64Show(d64); */
return d64;
} /* decimal64FromNumber */
/* ------------------------------------------------------------------ */
/* decimal64ToNumber -- convert decimal64 to decNumber */
/* d64 is the source decimal64 */
/* dn is the target number, with appropriate space */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decNumber * decimal64ToNumber(const decimal64 *d64, decNumber *dn) {
uInt msd; /* coefficient MSD */
uInt exp; /* exponent top two bits */
uInt comb; /* combination field */
const uInt *pu; /* work */
Int need; /* .. */
uInt sourar[2]; /* source 64-bit */
#define sourhi sourar[1] /* name the word with the sign */
#define sourlo sourar[0] /* and the lower word */
/* load source from storage; this is endian */
pu=(const uInt *)d64->bytes; /* overlay */
if (DECLITEND) {
sourlo=pu[0]; /* directly load the low int */
sourhi=pu[1]; /* then the high int */
}
else {
sourhi=pu[0]; /* directly load the high int */
sourlo=pu[1]; /* then the low int */
}
comb=(sourhi>>26)&0x1f; /* combination field */
decNumberZero(dn); /* clean number */
if (sourhi&0x80000000) dn->bits=DECNEG; /* set sign if negative */
msd=COMBMSD[comb]; /* decode the combination field */
exp=COMBEXP[comb]; /* .. */
if (exp==3) { /* is a special */
if (msd==0) {
dn->bits|=DECINF;
return dn; /* no coefficient needed */
}
else if (sourhi&0x02000000) dn->bits|=DECSNAN;
else dn->bits|=DECNAN;
msd=0; /* no top digit */
}
else { /* is a finite number */
dn->exponent=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; /* unbiased */
}
/* get the coefficient */
sourhi&=0x0003ffff; /* clean coefficient continuation */
if (msd) { /* non-zero msd */
sourhi|=msd<<18; /* prefix to coefficient */
need=6; /* process 6 declets */
}
else { /* msd=0 */
if (!sourhi) { /* top word 0 */
if (!sourlo) return dn; /* easy: coefficient is 0 */
need=3; /* process at least 3 declets */
if (sourlo&0xc0000000) need++; /* process 4 declets */
/* [could reduce some more, here] */
}
else { /* some bits in top word, msd=0 */
need=4; /* process at least 4 declets */
if (sourhi&0x0003ff00) need++; /* top declet!=0, process 5 */
}
} /*msd=0 */
decDigitsFromDPD(dn, sourar, need); /* process declets */
return dn;
} /* decimal64ToNumber */
/* ------------------------------------------------------------------ */
/* to-scientific-string -- conversion to numeric string */
/* to-engineering-string -- conversion to numeric string */
/* */
/* decimal64ToString(d64, string); */
/* decimal64ToEngString(d64, string); */
/* */
/* d64 is the decimal64 format number to convert */
/* string is the string where the result will be laid out */
/* */
/* string must be at least 24 characters */
/* */
/* No error is possible, and no status can be set. */
/* ------------------------------------------------------------------ */
char * decimal64ToEngString(const decimal64 *d64, char *string){
decNumber dn; /* work */
decimal64ToNumber(d64, &dn);
decNumberToEngString(&dn, string);
return string;
} /* decimal64ToEngString */
char * decimal64ToString(const decimal64 *d64, char *string){
uInt msd; /* coefficient MSD */
Int exp; /* exponent top two bits or full */
uInt comb; /* combination field */
char *cstart; /* coefficient start */
char *c; /* output pointer in string */
const uInt *pu; /* work */
char *s, *t; /* .. (source, target) */
Int dpd; /* .. */
Int pre, e; /* .. */
const uByte *u; /* .. */
uInt sourar[2]; /* source 64-bit */
#define sourhi sourar[1] /* name the word with the sign */
#define sourlo sourar[0] /* and the lower word */
/* load source from storage; this is endian */
pu=(const uInt *)d64->bytes; /* overlay */
if (DECLITEND) {
sourlo=pu[0]; /* directly load the low int */
sourhi=pu[1]; /* then the high int */
}
else {
sourhi=pu[0]; /* directly load the high int */
sourlo=pu[1]; /* then the low int */
}
c=string; /* where result will go */
if (((Int)sourhi)<0) *c++='-'; /* handle sign */
comb=(sourhi>>26)&0x1f; /* combination field */
msd=COMBMSD[comb]; /* decode the combination field */
exp=COMBEXP[comb]; /* .. */
if (exp==3) {
if (msd==0) { /* infinity */
strcpy(c, "Inf");
strcpy(c+3, "inity");
return string; /* easy */
}
if (sourhi&0x02000000) *c++='s'; /* sNaN */
strcpy(c, "NaN"); /* complete word */
c+=3; /* step past */
if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; /* zero payload */
/* otherwise drop through to add integer; set correct exp */
exp=0; msd=0; /* setup for following code */
}
else exp=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias;
/* convert 16 digits of significand to characters */
cstart=c; /* save start of coefficient */
if (msd) *c++='0'+(char)msd; /* non-zero most significant digit */
/* Now decode the declets. After extracting each one, it is */
/* decoded to binary and then to a 4-char sequence by table lookup; */
/* the 4-chars are a 1-char length (significant digits, except 000 */
/* has length 0). This allows us to left-align the first declet */
/* with non-zero content, then remaining ones are full 3-char */
/* length. We use fixed-length memcpys because variable-length */
/* causes a subroutine call in GCC. (These are length 4 for speed */
/* and are safe because the array has an extra terminator byte.) */
#define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
dpd=(sourhi>>8)&0x3ff; /* declet 1 */
dpd2char;
dpd=((sourhi&0xff)<<2) | (sourlo>>30); /* declet 2 */
dpd2char;
dpd=(sourlo>>20)&0x3ff; /* declet 3 */
dpd2char;
dpd=(sourlo>>10)&0x3ff; /* declet 4 */
dpd2char;
dpd=(sourlo)&0x3ff; /* declet 5 */
dpd2char;
if (c==cstart) *c++='0'; /* all zeros -- make 0 */
if (exp==0) { /* integer or NaN case -- easy */
*c='\0'; /* terminate */
return string;
}
/* non-0 exponent */
e=0; /* assume no E */
pre=c-cstart+exp;
/* [here, pre-exp is the digits count (==1 for zero)] */
if (exp>0 || pre<-5) { /* need exponential form */
e=pre-1; /* calculate E value */
pre=1; /* assume one digit before '.' */
} /* exponential form */
/* modify the coefficient, adding 0s, '.', and E+nn as needed */
s=c-1; /* source (LSD) */
if (pre>0) { /* ddd.ddd (plain), perhaps with E */
char *dotat=cstart+pre;
if (dotat<c) { /* if embedded dot needed... */
t=c; /* target */
for (; s>=dotat; s--, t--) *t=*s; /* open the gap; leave t at gap */
*t='.'; /* insert the dot */
c++; /* length increased by one */
}
/* finally add the E-part, if needed; it will never be 0, and has */
/* a maximum length of 3 digits */
if (e!=0) {
*c++='E'; /* starts with E */
*c++='+'; /* assume positive */
if (e<0) {
*(c-1)='-'; /* oops, need '-' */
e=-e; /* uInt, please */
}
u=&BIN2CHAR[e*4]; /* -> length byte */
memcpy(c, u+4-*u, 4); /* copy fixed 4 characters [is safe] */
c+=*u; /* bump pointer appropriately */
}
*c='\0'; /* add terminator */
/*printf("res %s\n", string); */
return string;
} /* pre>0 */
/* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
t=c+1-pre;
*(t+1)='\0'; /* can add terminator now */
for (; s>=cstart; s--, t--) *t=*s; /* shift whole coefficient right */
c=cstart;
*c++='0'; /* always starts with 0. */
*c++='.';
for (; pre<0; pre++) *c++='0'; /* add any 0's after '.' */
/*printf("res %s\n", string); */
return string;
} /* decimal64ToString */
/* ------------------------------------------------------------------ */
/* to-number -- conversion from numeric string */
/* */
/* decimal64FromString(result, string, set); */
/* */
/* result is the decimal64 format number which gets the result of */
/* the conversion */
/* *string is the character string which should contain a valid */
/* number (which may be a special value) */
/* set is the context */
/* */
/* The context is supplied to this routine is used for error handling */
/* (setting of status and traps) and for the rounding mode, only. */
/* If an error occurs, the result will be a valid decimal64 NaN. */
/* ------------------------------------------------------------------ */
decimal64 * decimal64FromString(decimal64 *result, const char *string,
decContext *set) {
decContext dc; /* work */
decNumber dn; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL64); /* no traps, please */
dc.round=set->round; /* use supplied rounding */
decNumberFromString(&dn, string, &dc); /* will round if needed */
decimal64FromNumber(result, &dn, &dc);
if (dc.status!=0) { /* something happened */
decContextSetStatus(set, dc.status); /* .. pass it on */
}
return result;
} /* decimal64FromString */
/* ------------------------------------------------------------------ */
/* decimal64IsCanonical -- test whether encoding is canonical */
/* d64 is the source decimal64 */
/* returns 1 if the encoding of d64 is canonical, 0 otherwise */
/* No error is possible. */
/* ------------------------------------------------------------------ */
uint32_t decimal64IsCanonical(const decimal64 *d64) {
decNumber dn; /* work */
decimal64 canon; /* .. */
decContext dc; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL64);
decimal64ToNumber(d64, &dn);
decimal64FromNumber(&canon, &dn, &dc);/* canon will now be canonical */
return memcmp(d64, &canon, DECIMAL64_Bytes)==0;
} /* decimal64IsCanonical */
/* ------------------------------------------------------------------ */
/* decimal64Canonical -- copy an encoding, ensuring it is canonical */
/* d64 is the source decimal64 */
/* result is the target (may be the same decimal64) */
/* returns result */
/* No error is possible. */
/* ------------------------------------------------------------------ */
decimal64 * decimal64Canonical(decimal64 *result, const decimal64 *d64) {
decNumber dn; /* work */
decContext dc; /* .. */
decContextDefault(&dc, DEC_INIT_DECIMAL64);
decimal64ToNumber(d64, &dn);
decimal64FromNumber(result, &dn, &dc);/* result will now be canonical */
return result;
} /* decimal64Canonical */
#if DECTRACE || DECCHECK
/* Macros for accessing decimal64 fields. These assume the
argument is a reference (pointer) to the decimal64 structure,
and the decimal64 is in network byte order (big-endian) */
/* Get sign */
#define decimal64Sign(d) ((unsigned)(d)->bytes[0]>>7)
/* Get combination field */
#define decimal64Comb(d) (((d)->bytes[0] & 0x7c)>>2)
/* Get exponent continuation [does not remove bias] */
#define decimal64ExpCon(d) ((((d)->bytes[0] & 0x03)<<6) \
| ((unsigned)(d)->bytes[1]>>2))
/* Set sign [this assumes sign previously 0] */
#define decimal64SetSign(d, b) { \
(d)->bytes[0]|=((unsigned)(b)<<7);}
/* Set exponent continuation [does not apply bias] */
/* This assumes range has been checked and exponent previously 0; */
/* type of exponent must be unsigned */
#define decimal64SetExpCon(d, e) { \
(d)->bytes[0]|=(uint8_t)((e)>>6); \
(d)->bytes[1]|=(uint8_t)(((e)&0x3F)<<2);}
/* ------------------------------------------------------------------ */
/* decimal64Show -- display a decimal64 in hexadecimal [debug aid] */
/* d64 -- the number to show */
/* ------------------------------------------------------------------ */
/* Also shows sign/cob/expconfields extracted */
void decimal64Show(const decimal64 *d64) {
char buf[DECIMAL64_Bytes*2+1];
Int i, j=0;
if (DECLITEND) {
for (i=0; i<DECIMAL64_Bytes; i++, j+=2) {
sprintf(&buf[j], "%02x", d64->bytes[7-i]);
}
printf(" D64> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
d64->bytes[7]>>7, (d64->bytes[7]>>2)&0x1f,
((d64->bytes[7]&0x3)<<6)| (d64->bytes[6]>>2));
}
else { /* big-endian */
for (i=0; i<DECIMAL64_Bytes; i++, j+=2) {
sprintf(&buf[j], "%02x", d64->bytes[i]);
}
printf(" D64> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
decimal64Sign(d64), decimal64Comb(d64), decimal64ExpCon(d64));
}
} /* decimal64Show */
#endif
/* ================================================================== */
/* Shared utility routines and tables */
/* ================================================================== */
/* define and include the conversion tables to use for shared code */
#if DECDPUN==3
#define DEC_DPD2BIN 1
#else
#define DEC_DPD2BCD 1
#endif
#include "decDPD.h" /* lookup tables */
/* The maximum number of decNumberUnits needed for a working copy of */
/* the units array is the ceiling of digits/DECDPUN, where digits is */
/* the maximum number of digits in any of the formats for which this */
/* is used. decimal128.h must not be included in this module, so, as */
/* a very special case, that number is defined as a literal here. */
#define DECMAX754 34
#define DECMAXUNITS ((DECMAX754+DECDPUN-1)/DECDPUN)
/* ------------------------------------------------------------------ */
/* Combination field lookup tables (uInts to save measurable work) */
/* */
/* COMBEXP - 2-bit most-significant-bits of exponent */
/* [11 if an Infinity or NaN] */
/* COMBMSD - 4-bit most-significant-digit */
/* [0=Infinity, 1=NaN if COMBEXP=11] */
/* */
/* Both are indexed by the 5-bit combination field (0-31) */
/* ------------------------------------------------------------------ */
const uInt COMBEXP[32]={0, 0, 0, 0, 0, 0, 0, 0,
1, 1, 1, 1, 1, 1, 1, 1,
2, 2, 2, 2, 2, 2, 2, 2,
0, 0, 1, 1, 2, 2, 3, 3};
const uInt COMBMSD[32]={0, 1, 2, 3, 4, 5, 6, 7,
0, 1, 2, 3, 4, 5, 6, 7,
0, 1, 2, 3, 4, 5, 6, 7,
8, 9, 8, 9, 8, 9, 0, 1};
/* ------------------------------------------------------------------ */
/* decDigitsToDPD -- pack coefficient into DPD form */
/* */
/* dn is the source number (assumed valid, max DECMAX754 digits) */
/* targ is 1, 2, or 4-element uInt array, which the caller must */
/* have cleared to zeros */
/* shift is the number of 0 digits to add on the right (normally 0) */
/* */
/* The coefficient must be known small enough to fit. The full */
/* coefficient is copied, including the leading 'odd' digit. This */
/* digit is retrieved and packed into the combination field by the */
/* caller. */
/* */
/* The target uInts are altered only as necessary to receive the */
/* digits of the decNumber. When more than one uInt is needed, they */
/* are filled from left to right (that is, the uInt at offset 0 will */
/* end up with the least-significant digits). */
/* */
/* shift is used for 'fold-down' padding. */
/* */
/* No error is possible. */
/* ------------------------------------------------------------------ */
#if DECDPUN<=4
/* Constant multipliers for divide-by-power-of five using reciprocal */
/* multiply, after removing powers of 2 by shifting, and final shift */
/* of 17 [we only need up to **4] */
static const uInt multies[]={131073, 26215, 5243, 1049, 210};
/* QUOT10 -- macro to return the quotient of unit u divided by 10**n */
#define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17)
#endif
void decDigitsToDPD(const decNumber *dn, uInt *targ, Int shift) {
Int cut; /* work */
Int n; /* output bunch counter */
Int digits=dn->digits; /* digit countdown */
uInt dpd; /* densely packed decimal value */
uInt bin; /* binary value 0-999 */
uInt *uout=targ; /* -> current output uInt */
uInt uoff=0; /* -> current output offset [from right] */
const Unit *inu=dn->lsu; /* -> current input unit */
Unit uar[DECMAXUNITS]; /* working copy of units, iff shifted */
#if DECDPUN!=3 /* not fast path */
Unit in; /* current unit */
#endif
if (shift!=0) { /* shift towards most significant required */
/* shift the units array to the left by pad digits and copy */
/* [this code is a special case of decShiftToMost, which could */
/* be used instead if exposed and the array were copied first] */
const Unit *source; /* .. */
Unit *target, *first; /* .. */
uInt next=0; /* work */
source=dn->lsu+D2U(digits)-1; /* where msu comes from */
target=uar+D2U(digits)-1+D2U(shift);/* where upper part of first cut goes */
cut=DECDPUN-MSUDIGITS(shift); /* where to slice */
if (cut==0) { /* unit-boundary case */
for (; source>=dn->lsu; source--, target--) *target=*source;
}
else {
first=uar+D2U(digits+shift)-1; /* where msu will end up */
for (; source>=dn->lsu; source--, target--) {
/* split the source Unit and accumulate remainder for next */
#if DECDPUN<=4
uInt quot=QUOT10(*source, cut);
uInt rem=*source-quot*DECPOWERS[cut];
next+=quot;
#else
uInt rem=*source%DECPOWERS[cut];
next+=*source/DECPOWERS[cut];
#endif
if (target<=first) *target=(Unit)next; /* write to target iff valid */
next=rem*DECPOWERS[DECDPUN-cut]; /* save remainder for next Unit */
}
} /* shift-move */
/* propagate remainder to one below and clear the rest */
for (; target>=uar; target--) {
*target=(Unit)next;
next=0;
}
digits+=shift; /* add count (shift) of zeros added */
inu=uar; /* use units in working array */
}
/* now densely pack the coefficient into DPD declets */
#if DECDPUN!=3 /* not fast path */
in=*inu; /* current unit */
cut=0; /* at lowest digit */
bin=0; /* [keep compiler quiet] */
#endif
for(n=0; digits>0; n++) { /* each output bunch */
#if DECDPUN==3 /* fast path, 3-at-a-time */
bin=*inu; /* 3 digits ready for convert */
digits-=3; /* [may go negative] */
inu++; /* may need another */
#else /* must collect digit-by-digit */
Unit dig; /* current digit */
Int j; /* digit-in-declet count */
for (j=0; j<3; j++) {
#if DECDPUN<=4
Unit temp=(Unit)((uInt)(in*6554)>>16);
dig=(Unit)(in-X10(temp));
in=temp;
#else
dig=in%10;
in=in/10;
#endif
if (j==0) bin=dig;
else if (j==1) bin+=X10(dig);
else /* j==2 */ bin+=X100(dig);
digits--;
if (digits==0) break; /* [also protects *inu below] */
cut++;
if (cut==DECDPUN) {inu++; in=*inu; cut=0;}
}
#endif
/* here there are 3 digits in bin, or have used all input digits */
dpd=BIN2DPD[bin];
/* write declet to uInt array */
*uout|=dpd<<uoff;
uoff+=10;
if (uoff<32) continue; /* no uInt boundary cross */
uout++;
uoff-=32;
*uout|=dpd>>(10-uoff); /* collect top bits */
} /* n declets */
return;
} /* decDigitsToDPD */
/* ------------------------------------------------------------------ */
/* decDigitsFromDPD -- unpack a format's coefficient */
/* */
/* dn is the target number, with 7, 16, or 34-digit space. */
/* sour is a 1, 2, or 4-element uInt array containing only declets */
/* declets is the number of (right-aligned) declets in sour to */
/* be processed. This may be 1 more than the obvious number in */
/* a format, as any top digit is prefixed to the coefficient */
/* continuation field. It also may be as small as 1, as the */
/* caller may pre-process leading zero declets. */
/* */
/* When doing the 'extra declet' case care is taken to avoid writing */
/* extra digits when there are leading zeros, as these could overflow */
/* the units array when DECDPUN is not 3. */
/* */
/* The target uInts are used only as necessary to process declets */
/* declets into the decNumber. When more than one uInt is needed, */
/* they are used from left to right (that is, the uInt at offset 0 */
/* provides the least-significant digits). */
/* */
/* dn->digits is set, but not the sign or exponent. */
/* No error is possible [the redundant 888 codes are allowed]. */
/* ------------------------------------------------------------------ */
void decDigitsFromDPD(decNumber *dn, const uInt *sour, Int declets) {
uInt dpd; /* collector for 10 bits */
Int n; /* counter */
Unit *uout=dn->lsu; /* -> current output unit */
Unit *last=uout; /* will be unit containing msd */
const uInt *uin=sour; /* -> current input uInt */
uInt uoff=0; /* -> current input offset [from right] */
#if DECDPUN!=3
uInt bcd; /* BCD result */
uInt nibble; /* work */
Unit out=0; /* accumulator */
Int cut=0; /* power of ten in current unit */
#endif
#if DECDPUN>4
uInt const *pow; /* work */
#endif
/* Expand the densely-packed integer, right to left */
for (n=declets-1; n>=0; n--) { /* count down declets of 10 bits */
dpd=*uin>>uoff;
uoff+=10;
if (uoff>32) { /* crossed uInt boundary */
uin++;
uoff-=32;
dpd|=*uin<<(10-uoff); /* get waiting bits */
}
dpd&=0x3ff; /* clear uninteresting bits */
#if DECDPUN==3
if (dpd==0) *uout=0;
else {
*uout=DPD2BIN[dpd]; /* convert 10 bits to binary 0-999 */
last=uout; /* record most significant unit */
}
uout++;
} /* n */
#else /* DECDPUN!=3 */
if (dpd==0) { /* fastpath [e.g., leading zeros] */
/* write out three 0 digits (nibbles); out may have digit(s) */
cut++;
if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
if (n==0) break; /* [as below, works even if MSD=0] */
cut++;
if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
cut++;
if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
continue;
}
bcd=DPD2BCD[dpd]; /* convert 10 bits to 12 bits BCD */
/* now accumulate the 3 BCD nibbles into units */
nibble=bcd & 0x00f;
if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
cut++;
if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
bcd>>=4;
/* if this is the last declet and the remaining nibbles in bcd */
/* are 00 then process no more nibbles, because this could be */
/* the 'odd' MSD declet and writing any more Units would then */
/* overflow the unit array */
if (n==0 && !bcd) break;
nibble=bcd & 0x00f;
if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
cut++;
if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
bcd>>=4;
nibble=bcd & 0x00f;
if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]);
cut++;
if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;}
} /* n */
if (cut!=0) { /* some more left over */
*uout=out; /* write out final unit */
if (out) last=uout; /* and note if non-zero */
}
#endif
/* here, last points to the most significant unit with digits; */
/* inspect it to get the final digits count -- this is essentially */
/* the same code as decGetDigits in decNumber.c */
dn->digits=(last-dn->lsu)*DECDPUN+1; /* floor of digits, plus */
/* must be at least 1 digit */
#if DECDPUN>1
if (*last<10) return; /* common odd digit or 0 */
dn->digits++; /* must be 2 at least */
#if DECDPUN>2
if (*last<100) return; /* 10-99 */
dn->digits++; /* must be 3 at least */
#if DECDPUN>3
if (*last<1000) return; /* 100-999 */
dn->digits++; /* must be 4 at least */
#if DECDPUN>4
for (pow=&DECPOWERS[4]; *last>=*pow; pow++) dn->digits++;
#endif
#endif
#endif
#endif
return;
} /*decDigitsFromDPD */