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jlechner |
/* Decimal 128-bit format module for the decNumber C Library.
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Copyright (C) 2005, 2007 Free Software Foundation, Inc.
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Contributed by IBM Corporation. Author Mike Cowlishaw.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 2, or (at your option) any later
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version.
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In addition to the permissions in the GNU General Public License,
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the Free Software Foundation gives you unlimited permission to link
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the compiled version of this file into combinations with other
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programs, and to distribute those combinations without any
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restriction coming from the use of this file. (The General Public
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License restrictions do apply in other respects; for example, they
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cover modification of the file, and distribution when not linked
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into a combine executable.)
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with GCC; see the file COPYING. If not, write to the Free
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Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
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02110-1301, USA. */
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/* ------------------------------------------------------------------ */
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/* Decimal 128-bit format module */
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/* ------------------------------------------------------------------ */
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/* This module comprises the routines for decimal128 format numbers. */
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/* Conversions are supplied to and from decNumber and String. */
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/* */
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/* This is used when decNumber provides operations, either for all */
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/* operations or as a proxy between decNumber and decSingle. */
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/* */
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/* Error handling is the same as decNumber (qv.). */
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/* ------------------------------------------------------------------ */
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#include <string.h> /* [for memset/memcpy] */
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#include <stdio.h> /* [for printf] */
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#include "config.h" /* GCC definitions */
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#define DECNUMDIGITS 34 /* make decNumbers with space for 34 */
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#include "decNumber.h" /* base number library */
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#include "decNumberLocal.h" /* decNumber local types, etc. */
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#include "decimal128.h" /* our primary include */
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/* Utility routines and tables [in decimal64.c] */
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extern const uInt COMBEXP[32], COMBMSD[32];
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extern const uShort DPD2BIN[1024];
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extern const uShort BIN2DPD[1000]; /* [not used] */
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extern const uByte BIN2CHAR[4001];
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extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
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extern void decDigitsToDPD(const decNumber *, uInt *, Int);
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#if DECTRACE || DECCHECK
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void decimal128Show(const decimal128 *); /* for debug */
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extern void decNumberShow(const decNumber *); /* .. */
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#endif
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/* Useful macro */
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/* Clear a structure (e.g., a decNumber) */
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#define DEC_clear(d) memset(d, 0, sizeof(*d))
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/* ------------------------------------------------------------------ */
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/* decimal128FromNumber -- convert decNumber to decimal128 */
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/* */
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/* ds is the target decimal128 */
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/* dn is the source number (assumed valid) */
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/* set is the context, used only for reporting errors */
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/* */
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/* The set argument is used only for status reporting and for the */
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/* rounding mode (used if the coefficient is more than DECIMAL128_Pmax*/
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/* digits or an overflow is detected). If the exponent is out of the */
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/* valid range then Overflow or Underflow will be raised. */
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/* After Underflow a subnormal result is possible. */
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/* */
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/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
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/* by reducing its exponent and multiplying the coefficient by a */
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/* power of ten, or if the exponent on a zero had to be clamped. */
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/* ------------------------------------------------------------------ */
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decimal128 * decimal128FromNumber(decimal128 *d128, const decNumber *dn,
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decContext *set) {
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uInt status=0; /* status accumulator */
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Int ae; /* adjusted exponent */
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decNumber dw; /* work */
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decContext dc; /* .. */
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uInt *pu; /* .. */
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uInt comb, exp; /* .. */
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uInt targar[4]={0,0,0,0}; /* target 128-bit */
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#define targhi targar[3] /* name the word with the sign */
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#define targmh targar[2] /* name the words */
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#define targml targar[1] /* .. */
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#define targlo targar[0] /* .. */
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/* If the number has too many digits, or the exponent could be */
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/* out of range then reduce the number under the appropriate */
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/* constraints. This could push the number to Infinity or zero, */
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/* so this check and rounding must be done before generating the */
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/* decimal128] */
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ae=dn->exponent+dn->digits-1; /* [0 if special] */
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if (dn->digits>DECIMAL128_Pmax /* too many digits */
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|| ae>DECIMAL128_Emax /* likely overflow */
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|| ae<DECIMAL128_Emin) { /* likely underflow */
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decContextDefault(&dc, DEC_INIT_DECIMAL128); /* [no traps] */
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dc.round=set->round; /* use supplied rounding */
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decNumberPlus(&dw, dn, &dc); /* (round and check) */
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/* [this changes -0 to 0, so enforce the sign...] */
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dw.bits|=dn->bits&DECNEG;
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status=dc.status; /* save status */
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dn=&dw; /* use the work number */
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} /* maybe out of range */
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if (dn->bits&DECSPECIAL) { /* a special value */
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if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
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else { /* sNaN or qNaN */
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if ((*dn->lsu!=0 || dn->digits>1) /* non-zero coefficient */
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&& (dn->digits<DECIMAL128_Pmax)) { /* coefficient fits */
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decDigitsToDPD(dn, targar, 0);
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}
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if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24;
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else targhi|=DECIMAL_sNaN<<24;
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} /* a NaN */
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} /* special */
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else { /* is finite */
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if (decNumberIsZero(dn)) { /* is a zero */
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/* set and clamp exponent */
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if (dn->exponent<-DECIMAL128_Bias) {
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exp=0; /* low clamp */
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status|=DEC_Clamped;
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}
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else {
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exp=dn->exponent+DECIMAL128_Bias; /* bias exponent */
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if (exp>DECIMAL128_Ehigh) { /* top clamp */
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exp=DECIMAL128_Ehigh;
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status|=DEC_Clamped;
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}
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}
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comb=(exp>>9) & 0x18; /* msd=0, exp top 2 bits .. */
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}
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else { /* non-zero finite number */
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uInt msd; /* work */
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Int pad=0; /* coefficient pad digits */
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/* the dn is known to fit, but it may need to be padded */
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exp=(uInt)(dn->exponent+DECIMAL128_Bias); /* bias exponent */
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if (exp>DECIMAL128_Ehigh) { /* fold-down case */
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pad=exp-DECIMAL128_Ehigh;
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exp=DECIMAL128_Ehigh; /* [to maximum] */
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status|=DEC_Clamped;
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}
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/* [fastpath for common case is not a win, here] */
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decDigitsToDPD(dn, targar, pad);
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/* save and clear the top digit */
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msd=targhi>>14;
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targhi&=0x00003fff;
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/* create the combination field */
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if (msd>=8) comb=0x18 | ((exp>>11) & 0x06) | (msd & 0x01);
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else comb=((exp>>9) & 0x18) | msd;
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}
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targhi|=comb<<26; /* add combination field .. */
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targhi|=(exp&0xfff)<<14; /* .. and exponent continuation */
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} /* finite */
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if (dn->bits&DECNEG) targhi|=0x80000000; /* add sign bit */
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/* now write to storage; this is endian */
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pu=(uInt *)d128->bytes; /* overlay */
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if (DECLITEND) {
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pu[0]=targlo; /* directly store the low int */
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pu[1]=targml; /* then the mid-low */
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pu[2]=targmh; /* then the mid-high */
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pu[3]=targhi; /* then the high int */
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}
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else {
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pu[0]=targhi; /* directly store the high int */
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pu[1]=targmh; /* then the mid-high */
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pu[2]=targml; /* then the mid-low */
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pu[3]=targlo; /* then the low int */
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}
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if (status!=0) decContextSetStatus(set, status); /* pass on status */
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/* decimal128Show(d128); */
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return d128;
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} /* decimal128FromNumber */
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/* ------------------------------------------------------------------ */
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/* decimal128ToNumber -- convert decimal128 to decNumber */
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/* d128 is the source decimal128 */
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/* dn is the target number, with appropriate space */
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/* No error is possible. */
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/* ------------------------------------------------------------------ */
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decNumber * decimal128ToNumber(const decimal128 *d128, decNumber *dn) {
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uInt msd; /* coefficient MSD */
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uInt exp; /* exponent top two bits */
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uInt comb; /* combination field */
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const uInt *pu; /* work */
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Int need; /* .. */
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uInt sourar[4]; /* source 128-bit */
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#define sourhi sourar[3] /* name the word with the sign */
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#define sourmh sourar[2] /* and the mid-high word */
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#define sourml sourar[1] /* and the mod-low word */
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#define sourlo sourar[0] /* and the lowest word */
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/* load source from storage; this is endian */
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pu=(const uInt *)d128->bytes; /* overlay */
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if (DECLITEND) {
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sourlo=pu[0]; /* directly load the low int */
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sourml=pu[1]; /* then the mid-low */
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sourmh=pu[2]; /* then the mid-high */
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sourhi=pu[3]; /* then the high int */
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}
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else {
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sourhi=pu[0]; /* directly load the high int */
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sourmh=pu[1]; /* then the mid-high */
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sourml=pu[2]; /* then the mid-low */
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sourlo=pu[3]; /* then the low int */
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}
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comb=(sourhi>>26)&0x1f; /* combination field */
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decNumberZero(dn); /* clean number */
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if (sourhi&0x80000000) dn->bits=DECNEG; /* set sign if negative */
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msd=COMBMSD[comb]; /* decode the combination field */
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exp=COMBEXP[comb]; /* .. */
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if (exp==3) { /* is a special */
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if (msd==0) {
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dn->bits|=DECINF;
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return dn; /* no coefficient needed */
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}
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else if (sourhi&0x02000000) dn->bits|=DECSNAN;
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else dn->bits|=DECNAN;
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msd=0; /* no top digit */
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}
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else { /* is a finite number */
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dn->exponent=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; /* unbiased */
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}
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/* get the coefficient */
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sourhi&=0x00003fff; /* clean coefficient continuation */
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if (msd) { /* non-zero msd */
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sourhi|=msd<<14; /* prefix to coefficient */
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need=12; /* process 12 declets */
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}
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else { /* msd=0 */
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if (sourhi) need=11; /* declets to process */
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else if (sourmh) need=10;
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else if (sourml) need=7;
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else if (sourlo) need=4;
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else return dn; /* easy: coefficient is 0 */
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} /*msd=0 */
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decDigitsFromDPD(dn, sourar, need); /* process declets */
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/* decNumberShow(dn); */
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return dn;
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} /* decimal128ToNumber */
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/* ------------------------------------------------------------------ */
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/* to-scientific-string -- conversion to numeric string */
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/* to-engineering-string -- conversion to numeric string */
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/* */
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/* decimal128ToString(d128, string); */
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/* decimal128ToEngString(d128, string); */
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/* */
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/* d128 is the decimal128 format number to convert */
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/* string is the string where the result will be laid out */
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/* */
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/* string must be at least 24 characters */
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/* */
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/* No error is possible, and no status can be set. */
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/* ------------------------------------------------------------------ */
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char * decimal128ToEngString(const decimal128 *d128, char *string){
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decNumber dn; /* work */
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decimal128ToNumber(d128, &dn);
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decNumberToEngString(&dn, string);
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return string;
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} /* decimal128ToEngString */
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| 287 |
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char * decimal128ToString(const decimal128 *d128, char *string){
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uInt msd; /* coefficient MSD */
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Int exp; /* exponent top two bits or full */
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uInt comb; /* combination field */
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char *cstart; /* coefficient start */
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char *c; /* output pointer in string */
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const uInt *pu; /* work */
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char *s, *t; /* .. (source, target) */
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Int dpd; /* .. */
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Int pre, e; /* .. */
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const uByte *u; /* .. */
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uInt sourar[4]; /* source 128-bit */
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| 301 |
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#define sourhi sourar[3] /* name the word with the sign */
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| 302 |
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#define sourmh sourar[2] /* and the mid-high word */
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#define sourml sourar[1] /* and the mod-low word */
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#define sourlo sourar[0] /* and the lowest word */
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| 306 |
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/* load source from storage; this is endian */
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| 307 |
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pu=(const uInt *)d128->bytes; /* overlay */
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| 308 |
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if (DECLITEND) {
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sourlo=pu[0]; /* directly load the low int */
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sourml=pu[1]; /* then the mid-low */
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sourmh=pu[2]; /* then the mid-high */
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sourhi=pu[3]; /* then the high int */
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| 313 |
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}
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else {
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|
sourhi=pu[0]; /* directly load the high int */
|
| 316 |
|
|
sourmh=pu[1]; /* then the mid-high */
|
| 317 |
|
|
sourml=pu[2]; /* then the mid-low */
|
| 318 |
|
|
sourlo=pu[3]; /* then the low int */
|
| 319 |
|
|
}
|
| 320 |
|
|
|
| 321 |
|
|
c=string; /* where result will go */
|
| 322 |
|
|
if (((Int)sourhi)<0) *c++='-'; /* handle sign */
|
| 323 |
|
|
|
| 324 |
|
|
comb=(sourhi>>26)&0x1f; /* combination field */
|
| 325 |
|
|
msd=COMBMSD[comb]; /* decode the combination field */
|
| 326 |
|
|
exp=COMBEXP[comb]; /* .. */
|
| 327 |
|
|
|
| 328 |
|
|
if (exp==3) {
|
| 329 |
|
|
if (msd==0) { /* infinity */
|
| 330 |
|
|
strcpy(c, "Inf");
|
| 331 |
|
|
strcpy(c+3, "inity");
|
| 332 |
|
|
return string; /* easy */
|
| 333 |
|
|
}
|
| 334 |
|
|
if (sourhi&0x02000000) *c++='s'; /* sNaN */
|
| 335 |
|
|
strcpy(c, "NaN"); /* complete word */
|
| 336 |
|
|
c+=3; /* step past */
|
| 337 |
|
|
if (sourlo==0 && sourml==0 && sourmh==0
|
| 338 |
|
|
&& (sourhi&0x0003ffff)==0) return string; /* zero payload */
|
| 339 |
|
|
/* otherwise drop through to add integer; set correct exp */
|
| 340 |
|
|
exp=0; msd=0; /* setup for following code */
|
| 341 |
|
|
}
|
| 342 |
|
|
else exp=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; /* unbiased */
|
| 343 |
|
|
|
| 344 |
|
|
/* convert 34 digits of significand to characters */
|
| 345 |
|
|
cstart=c; /* save start of coefficient */
|
| 346 |
|
|
if (msd) *c++='0'+(char)msd; /* non-zero most significant digit */
|
| 347 |
|
|
|
| 348 |
|
|
/* Now decode the declets. After extracting each one, it is */
|
| 349 |
|
|
/* decoded to binary and then to a 4-char sequence by table lookup; */
|
| 350 |
|
|
/* the 4-chars are a 1-char length (significant digits, except 000 */
|
| 351 |
|
|
/* has length 0). This allows us to left-align the first declet */
|
| 352 |
|
|
/* with non-zero content, then remaining ones are full 3-char */
|
| 353 |
|
|
/* length. We use fixed-length memcpys because variable-length */
|
| 354 |
|
|
/* causes a subroutine call in GCC. (These are length 4 for speed */
|
| 355 |
|
|
/* and are safe because the array has an extra terminator byte.) */
|
| 356 |
|
|
#define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
|
| 357 |
|
|
if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
|
| 358 |
|
|
else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
|
| 359 |
|
|
dpd=(sourhi>>4)&0x3ff; /* declet 1 */
|
| 360 |
|
|
dpd2char;
|
| 361 |
|
|
dpd=((sourhi&0xf)<<6) | (sourmh>>26); /* declet 2 */
|
| 362 |
|
|
dpd2char;
|
| 363 |
|
|
dpd=(sourmh>>16)&0x3ff; /* declet 3 */
|
| 364 |
|
|
dpd2char;
|
| 365 |
|
|
dpd=(sourmh>>6)&0x3ff; /* declet 4 */
|
| 366 |
|
|
dpd2char;
|
| 367 |
|
|
dpd=((sourmh&0x3f)<<4) | (sourml>>28); /* declet 5 */
|
| 368 |
|
|
dpd2char;
|
| 369 |
|
|
dpd=(sourml>>18)&0x3ff; /* declet 6 */
|
| 370 |
|
|
dpd2char;
|
| 371 |
|
|
dpd=(sourml>>8)&0x3ff; /* declet 7 */
|
| 372 |
|
|
dpd2char;
|
| 373 |
|
|
dpd=((sourml&0xff)<<2) | (sourlo>>30); /* declet 8 */
|
| 374 |
|
|
dpd2char;
|
| 375 |
|
|
dpd=(sourlo>>20)&0x3ff; /* declet 9 */
|
| 376 |
|
|
dpd2char;
|
| 377 |
|
|
dpd=(sourlo>>10)&0x3ff; /* declet 10 */
|
| 378 |
|
|
dpd2char;
|
| 379 |
|
|
dpd=(sourlo)&0x3ff; /* declet 11 */
|
| 380 |
|
|
dpd2char;
|
| 381 |
|
|
|
| 382 |
|
|
if (c==cstart) *c++='0'; /* all zeros -- make 0 */
|
| 383 |
|
|
|
| 384 |
|
|
if (exp==0) { /* integer or NaN case -- easy */
|
| 385 |
|
|
*c='\0'; /* terminate */
|
| 386 |
|
|
return string;
|
| 387 |
|
|
}
|
| 388 |
|
|
|
| 389 |
|
|
/* non-0 exponent */
|
| 390 |
|
|
e=0; /* assume no E */
|
| 391 |
|
|
pre=c-cstart+exp;
|
| 392 |
|
|
/* [here, pre-exp is the digits count (==1 for zero)] */
|
| 393 |
|
|
if (exp>0 || pre<-5) { /* need exponential form */
|
| 394 |
|
|
e=pre-1; /* calculate E value */
|
| 395 |
|
|
pre=1; /* assume one digit before '.' */
|
| 396 |
|
|
} /* exponential form */
|
| 397 |
|
|
|
| 398 |
|
|
/* modify the coefficient, adding 0s, '.', and E+nn as needed */
|
| 399 |
|
|
s=c-1; /* source (LSD) */
|
| 400 |
|
|
if (pre>0) { /* ddd.ddd (plain), perhaps with E */
|
| 401 |
|
|
char *dotat=cstart+pre;
|
| 402 |
|
|
if (dotat<c) { /* if embedded dot needed... */
|
| 403 |
|
|
t=c; /* target */
|
| 404 |
|
|
for (; s>=dotat; s--, t--) *t=*s; /* open the gap; leave t at gap */
|
| 405 |
|
|
*t='.'; /* insert the dot */
|
| 406 |
|
|
c++; /* length increased by one */
|
| 407 |
|
|
}
|
| 408 |
|
|
|
| 409 |
|
|
/* finally add the E-part, if needed; it will never be 0, and has */
|
| 410 |
|
|
/* a maximum length of 4 digits */
|
| 411 |
|
|
if (e!=0) {
|
| 412 |
|
|
*c++='E'; /* starts with E */
|
| 413 |
|
|
*c++='+'; /* assume positive */
|
| 414 |
|
|
if (e<0) {
|
| 415 |
|
|
*(c-1)='-'; /* oops, need '-' */
|
| 416 |
|
|
e=-e; /* uInt, please */
|
| 417 |
|
|
}
|
| 418 |
|
|
if (e<1000) { /* 3 (or fewer) digits case */
|
| 419 |
|
|
u=&BIN2CHAR[e*4]; /* -> length byte */
|
| 420 |
|
|
memcpy(c, u+4-*u, 4); /* copy fixed 4 characters [is safe] */
|
| 421 |
|
|
c+=*u; /* bump pointer appropriately */
|
| 422 |
|
|
}
|
| 423 |
|
|
else { /* 4-digits */
|
| 424 |
|
|
Int thou=((e>>3)*1049)>>17; /* e/1000 */
|
| 425 |
|
|
Int rem=e-(1000*thou); /* e%1000 */
|
| 426 |
|
|
*c++='0'+(char)thou;
|
| 427 |
|
|
u=&BIN2CHAR[rem*4]; /* -> length byte */
|
| 428 |
|
|
memcpy(c, u+1, 4); /* copy fixed 3+1 characters [is safe] */
|
| 429 |
|
|
c+=3; /* bump pointer, always 3 digits */
|
| 430 |
|
|
}
|
| 431 |
|
|
}
|
| 432 |
|
|
*c='\0'; /* add terminator */
|
| 433 |
|
|
/*printf("res %s\n", string); */
|
| 434 |
|
|
return string;
|
| 435 |
|
|
} /* pre>0 */
|
| 436 |
|
|
|
| 437 |
|
|
/* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
|
| 438 |
|
|
t=c+1-pre;
|
| 439 |
|
|
*(t+1)='\0'; /* can add terminator now */
|
| 440 |
|
|
for (; s>=cstart; s--, t--) *t=*s; /* shift whole coefficient right */
|
| 441 |
|
|
c=cstart;
|
| 442 |
|
|
*c++='0'; /* always starts with 0. */
|
| 443 |
|
|
*c++='.';
|
| 444 |
|
|
for (; pre<0; pre++) *c++='0'; /* add any 0's after '.' */
|
| 445 |
|
|
/*printf("res %s\n", string); */
|
| 446 |
|
|
return string;
|
| 447 |
|
|
} /* decimal128ToString */
|
| 448 |
|
|
|
| 449 |
|
|
/* ------------------------------------------------------------------ */
|
| 450 |
|
|
/* to-number -- conversion from numeric string */
|
| 451 |
|
|
/* */
|
| 452 |
|
|
/* decimal128FromString(result, string, set); */
|
| 453 |
|
|
/* */
|
| 454 |
|
|
/* result is the decimal128 format number which gets the result of */
|
| 455 |
|
|
/* the conversion */
|
| 456 |
|
|
/* *string is the character string which should contain a valid */
|
| 457 |
|
|
/* number (which may be a special value) */
|
| 458 |
|
|
/* set is the context */
|
| 459 |
|
|
/* */
|
| 460 |
|
|
/* The context is supplied to this routine is used for error handling */
|
| 461 |
|
|
/* (setting of status and traps) and for the rounding mode, only. */
|
| 462 |
|
|
/* If an error occurs, the result will be a valid decimal128 NaN. */
|
| 463 |
|
|
/* ------------------------------------------------------------------ */
|
| 464 |
|
|
decimal128 * decimal128FromString(decimal128 *result, const char *string,
|
| 465 |
|
|
decContext *set) {
|
| 466 |
|
|
decContext dc; /* work */
|
| 467 |
|
|
decNumber dn; /* .. */
|
| 468 |
|
|
|
| 469 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL128); /* no traps, please */
|
| 470 |
|
|
dc.round=set->round; /* use supplied rounding */
|
| 471 |
|
|
|
| 472 |
|
|
decNumberFromString(&dn, string, &dc); /* will round if needed */
|
| 473 |
|
|
decimal128FromNumber(result, &dn, &dc);
|
| 474 |
|
|
if (dc.status!=0) { /* something happened */
|
| 475 |
|
|
decContextSetStatus(set, dc.status); /* .. pass it on */
|
| 476 |
|
|
}
|
| 477 |
|
|
return result;
|
| 478 |
|
|
} /* decimal128FromString */
|
| 479 |
|
|
|
| 480 |
|
|
/* ------------------------------------------------------------------ */
|
| 481 |
|
|
/* decimal128IsCanonical -- test whether encoding is canonical */
|
| 482 |
|
|
/* d128 is the source decimal128 */
|
| 483 |
|
|
/* returns 1 if the encoding of d128 is canonical, 0 otherwise */
|
| 484 |
|
|
/* No error is possible. */
|
| 485 |
|
|
/* ------------------------------------------------------------------ */
|
| 486 |
|
|
uint32_t decimal128IsCanonical(const decimal128 *d128) {
|
| 487 |
|
|
decNumber dn; /* work */
|
| 488 |
|
|
decimal128 canon; /* .. */
|
| 489 |
|
|
decContext dc; /* .. */
|
| 490 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL128);
|
| 491 |
|
|
decimal128ToNumber(d128, &dn);
|
| 492 |
|
|
decimal128FromNumber(&canon, &dn, &dc);/* canon will now be canonical */
|
| 493 |
|
|
return memcmp(d128, &canon, DECIMAL128_Bytes)==0;
|
| 494 |
|
|
} /* decimal128IsCanonical */
|
| 495 |
|
|
|
| 496 |
|
|
/* ------------------------------------------------------------------ */
|
| 497 |
|
|
/* decimal128Canonical -- copy an encoding, ensuring it is canonical */
|
| 498 |
|
|
/* d128 is the source decimal128 */
|
| 499 |
|
|
/* result is the target (may be the same decimal128) */
|
| 500 |
|
|
/* returns result */
|
| 501 |
|
|
/* No error is possible. */
|
| 502 |
|
|
/* ------------------------------------------------------------------ */
|
| 503 |
|
|
decimal128 * decimal128Canonical(decimal128 *result, const decimal128 *d128) {
|
| 504 |
|
|
decNumber dn; /* work */
|
| 505 |
|
|
decContext dc; /* .. */
|
| 506 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL128);
|
| 507 |
|
|
decimal128ToNumber(d128, &dn);
|
| 508 |
|
|
decimal128FromNumber(result, &dn, &dc);/* result will now be canonical */
|
| 509 |
|
|
return result;
|
| 510 |
|
|
} /* decimal128Canonical */
|
| 511 |
|
|
|
| 512 |
|
|
#if DECTRACE || DECCHECK
|
| 513 |
|
|
/* Macros for accessing decimal128 fields. These assume the argument
|
| 514 |
|
|
is a reference (pointer) to the decimal128 structure, and the
|
| 515 |
|
|
decimal128 is in network byte order (big-endian) */
|
| 516 |
|
|
/* Get sign */
|
| 517 |
|
|
#define decimal128Sign(d) ((unsigned)(d)->bytes[0]>>7)
|
| 518 |
|
|
|
| 519 |
|
|
/* Get combination field */
|
| 520 |
|
|
#define decimal128Comb(d) (((d)->bytes[0] & 0x7c)>>2)
|
| 521 |
|
|
|
| 522 |
|
|
/* Get exponent continuation [does not remove bias] */
|
| 523 |
|
|
#define decimal128ExpCon(d) ((((d)->bytes[0] & 0x03)<<10) \
|
| 524 |
|
|
| ((unsigned)(d)->bytes[1]<<2) \
|
| 525 |
|
|
| ((unsigned)(d)->bytes[2]>>6))
|
| 526 |
|
|
|
| 527 |
|
|
/* Set sign [this assumes sign previously 0] */
|
| 528 |
|
|
#define decimal128SetSign(d, b) { \
|
| 529 |
|
|
(d)->bytes[0]|=((unsigned)(b)<<7);}
|
| 530 |
|
|
|
| 531 |
|
|
/* Set exponent continuation [does not apply bias] */
|
| 532 |
|
|
/* This assumes range has been checked and exponent previously 0; */
|
| 533 |
|
|
/* type of exponent must be unsigned */
|
| 534 |
|
|
#define decimal128SetExpCon(d, e) { \
|
| 535 |
|
|
(d)->bytes[0]|=(uint8_t)((e)>>10); \
|
| 536 |
|
|
(d)->bytes[1] =(uint8_t)(((e)&0x3fc)>>2); \
|
| 537 |
|
|
(d)->bytes[2]|=(uint8_t)(((e)&0x03)<<6);}
|
| 538 |
|
|
|
| 539 |
|
|
/* ------------------------------------------------------------------ */
|
| 540 |
|
|
/* decimal128Show -- display a decimal128 in hexadecimal [debug aid] */
|
| 541 |
|
|
/* d128 -- the number to show */
|
| 542 |
|
|
/* ------------------------------------------------------------------ */
|
| 543 |
|
|
/* Also shows sign/cob/expconfields extracted */
|
| 544 |
|
|
void decimal128Show(const decimal128 *d128) {
|
| 545 |
|
|
char buf[DECIMAL128_Bytes*2+1];
|
| 546 |
|
|
Int i, j=0;
|
| 547 |
|
|
|
| 548 |
|
|
if (DECLITEND) {
|
| 549 |
|
|
for (i=0; i<DECIMAL128_Bytes; i++, j+=2) {
|
| 550 |
|
|
sprintf(&buf[j], "%02x", d128->bytes[15-i]);
|
| 551 |
|
|
}
|
| 552 |
|
|
printf(" D128> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
|
| 553 |
|
|
d128->bytes[15]>>7, (d128->bytes[15]>>2)&0x1f,
|
| 554 |
|
|
((d128->bytes[15]&0x3)<<10)|(d128->bytes[14]<<2)|
|
| 555 |
|
|
(d128->bytes[13]>>6));
|
| 556 |
|
|
}
|
| 557 |
|
|
else {
|
| 558 |
|
|
for (i=0; i<DECIMAL128_Bytes; i++, j+=2) {
|
| 559 |
|
|
sprintf(&buf[j], "%02x", d128->bytes[i]);
|
| 560 |
|
|
}
|
| 561 |
|
|
printf(" D128> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
|
| 562 |
|
|
decimal128Sign(d128), decimal128Comb(d128),
|
| 563 |
|
|
decimal128ExpCon(d128));
|
| 564 |
|
|
}
|
| 565 |
|
|
} /* decimal128Show */
|
| 566 |
|
|
#endif
|
