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jeremybenn |
/* Decimal 32-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 32-bit format module */
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/* ------------------------------------------------------------------ */
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/* This module comprises the routines for decimal32 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 7 /* make decNumbers with space for 7 */
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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 "decimal32.h" /* our primary include */
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/* Utility tables and routines [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];
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extern const uByte BIN2CHAR[4001];
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extern void decDigitsToDPD(const decNumber *, uInt *, Int);
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extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
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#if DECTRACE || DECCHECK
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void decimal32Show(const decimal32 *); /* 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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/* decimal32FromNumber -- convert decNumber to decimal32 */
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/* */
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/* ds is the target decimal32 */
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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 DECIMAL32_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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decimal32 * decimal32FromNumber(decimal32 *d32, 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 targ=0; /* target 32-bit */
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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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/* decimal32] */
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ae=dn->exponent+dn->digits-1; /* [0 if special] */
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if (dn->digits>DECIMAL32_Pmax /* too many digits */
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|| ae>DECIMAL32_Emax /* likely overflow */
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|| ae<DECIMAL32_Emin) { /* likely underflow */
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decContextDefault(&dc, DEC_INIT_DECIMAL32); /* [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) targ=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<DECIMAL32_Pmax)) { /* coefficient fits */
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decDigitsToDPD(dn, &targ, 0);
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}
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if (dn->bits&DECNAN) targ|=DECIMAL_NaN<<24;
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else targ|=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<-DECIMAL32_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+DECIMAL32_Bias; /* bias exponent */
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if (exp>DECIMAL32_Ehigh) { /* top clamp */
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exp=DECIMAL32_Ehigh;
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status|=DEC_Clamped;
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}
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}
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comb=(exp>>3) & 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+DECIMAL32_Bias); /* bias exponent */
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if (exp>DECIMAL32_Ehigh) { /* fold-down case */
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pad=exp-DECIMAL32_Ehigh;
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exp=DECIMAL32_Ehigh; /* [to maximum] */
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status|=DEC_Clamped;
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}
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/* fastpath common case */
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if (DECDPUN==3 && pad==0) {
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targ=BIN2DPD[dn->lsu[0]];
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if (dn->digits>3) targ|=(uInt)(BIN2DPD[dn->lsu[1]])<<10;
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msd=(dn->digits==7 ? dn->lsu[2] : 0);
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}
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else { /* general case */
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decDigitsToDPD(dn, &targ, pad);
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/* save and clear the top digit */
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msd=targ>>20;
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targ&=0x000fffff;
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}
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/* create the combination field */
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if (msd>=8) comb=0x18 | ((exp>>5) & 0x06) | (msd & 0x01);
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else comb=((exp>>3) & 0x18) | msd;
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}
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targ|=comb<<26; /* add combination field .. */
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targ|=(exp&0x3f)<<20; /* .. and exponent continuation */
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} /* finite */
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if (dn->bits&DECNEG) targ|=0x80000000; /* add sign bit */
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/* now write to storage; this is endian */
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pu=(uInt *)d32->bytes; /* overlay */
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*pu=targ; /* directly store the int */
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if (status!=0) decContextSetStatus(set, status); /* pass on status */
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/* decimal32Show(d32); */
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return d32;
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} /* decimal32FromNumber */
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/* ------------------------------------------------------------------ */
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/* decimal32ToNumber -- convert decimal32 to decNumber */
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/* d32 is the source decimal32 */
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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 * decimal32ToNumber(const decimal32 *d32, 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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uInt sour; /* source 32-bit */
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const uInt *pu; /* work */
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/* load source from storage; this is endian */
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pu=(const uInt *)d32->bytes; /* overlay */
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sour=*pu; /* directly load the int */
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comb=(sour>>26)&0x1f; /* combination field */
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decNumberZero(dn); /* clean number */
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if (sour&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 (sour&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<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; /* unbiased */
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}
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/* get the coefficient */
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sour&=0x000fffff; /* clean coefficient continuation */
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if (msd) { /* non-zero msd */
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sour|=msd<<20; /* prefix to coefficient */
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decDigitsFromDPD(dn, &sour, 3); /* process 3 declets */
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return dn;
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}
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/* msd=0 */
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if (!sour) return dn; /* easy: coefficient is 0 */
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if (sour&0x000ffc00) /* need 2 declets? */
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decDigitsFromDPD(dn, &sour, 2); /* process 2 declets */
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else
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decDigitsFromDPD(dn, &sour, 1); /* process 1 declet */
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return dn;
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} /* decimal32ToNumber */
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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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/* decimal32ToString(d32, string); */
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/* decimal32ToEngString(d32, string); */
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/* */
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/* d32 is the decimal32 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 * decimal32ToEngString(const decimal32 *d32, char *string){
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decNumber dn; /* work */
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decimal32ToNumber(d32, &dn);
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decNumberToEngString(&dn, string);
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return string;
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} /* decimal32ToEngString */
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char * decimal32ToString(const decimal32 *d32, 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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const uByte *u; /* .. */
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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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uInt sour; /* source 32-bit */
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/* load source from storage; this is endian */
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pu=(const uInt *)d32->bytes; /* overlay */
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sour=*pu; /* directly load the int */
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c=string; /* where result will go */
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if (((Int)sour)<0) *c++='-'; /* handle sign */
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comb=(sour>>26)&0x1f; /* combination field */
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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) {
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if (msd==0) { /* infinity */
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strcpy(c, "Inf");
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strcpy(c+3, "inity");
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return string; /* easy */
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}
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if (sour&0x02000000) *c++='s'; /* sNaN */
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strcpy(c, "NaN"); /* complete word */
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c+=3; /* step past */
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if ((sour&0x000fffff)==0) return string; /* zero payload */
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/* otherwise drop through to add integer; set correct exp */
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exp=0; msd=0; /* setup for following code */
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}
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else exp=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; /* unbiased */
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/* convert 7 digits of significand to characters */
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cstart=c; /* save start of coefficient */
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if (msd) *c++='0'+(char)msd; /* non-zero most significant digit */
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/* Now decode the declets. After extracting each one, it is */
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/* decoded to binary and then to a 4-char sequence by table lookup; */
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/* the 4-chars are a 1-char length (significant digits, except 000 */
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/* has length 0). This allows us to left-align the first declet */
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/* with non-zero content, then remaining ones are full 3-char */
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| 309 |
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/* length. We use fixed-length memcpys because variable-length */
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/* causes a subroutine call in GCC. (These are length 4 for speed */
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/* and are safe because the array has an extra terminator byte.) */
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| 312 |
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#define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \
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| 313 |
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if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \
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| 314 |
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else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;}
|
| 315 |
|
|
|
| 316 |
|
|
dpd=(sour>>10)&0x3ff; /* declet 1 */
|
| 317 |
|
|
dpd2char;
|
| 318 |
|
|
dpd=(sour)&0x3ff; /* declet 2 */
|
| 319 |
|
|
dpd2char;
|
| 320 |
|
|
|
| 321 |
|
|
if (c==cstart) *c++='0'; /* all zeros -- make 0 */
|
| 322 |
|
|
|
| 323 |
|
|
if (exp==0) { /* integer or NaN case -- easy */
|
| 324 |
|
|
*c='\0'; /* terminate */
|
| 325 |
|
|
return string;
|
| 326 |
|
|
}
|
| 327 |
|
|
|
| 328 |
|
|
/* non-0 exponent */
|
| 329 |
|
|
e=0; /* assume no E */
|
| 330 |
|
|
pre=c-cstart+exp;
|
| 331 |
|
|
/* [here, pre-exp is the digits count (==1 for zero)] */
|
| 332 |
|
|
if (exp>0 || pre<-5) { /* need exponential form */
|
| 333 |
|
|
e=pre-1; /* calculate E value */
|
| 334 |
|
|
pre=1; /* assume one digit before '.' */
|
| 335 |
|
|
} /* exponential form */
|
| 336 |
|
|
|
| 337 |
|
|
/* modify the coefficient, adding 0s, '.', and E+nn as needed */
|
| 338 |
|
|
s=c-1; /* source (LSD) */
|
| 339 |
|
|
if (pre>0) { /* ddd.ddd (plain), perhaps with E */
|
| 340 |
|
|
char *dotat=cstart+pre;
|
| 341 |
|
|
if (dotat<c) { /* if embedded dot needed... */
|
| 342 |
|
|
t=c; /* target */
|
| 343 |
|
|
for (; s>=dotat; s--, t--) *t=*s; /* open the gap; leave t at gap */
|
| 344 |
|
|
*t='.'; /* insert the dot */
|
| 345 |
|
|
c++; /* length increased by one */
|
| 346 |
|
|
}
|
| 347 |
|
|
|
| 348 |
|
|
/* finally add the E-part, if needed; it will never be 0, and has */
|
| 349 |
|
|
/* a maximum length of 3 digits (E-101 case) */
|
| 350 |
|
|
if (e!=0) {
|
| 351 |
|
|
*c++='E'; /* starts with E */
|
| 352 |
|
|
*c++='+'; /* assume positive */
|
| 353 |
|
|
if (e<0) {
|
| 354 |
|
|
*(c-1)='-'; /* oops, need '-' */
|
| 355 |
|
|
e=-e; /* uInt, please */
|
| 356 |
|
|
}
|
| 357 |
|
|
u=&BIN2CHAR[e*4]; /* -> length byte */
|
| 358 |
|
|
memcpy(c, u+4-*u, 4); /* copy fixed 4 characters [is safe] */
|
| 359 |
|
|
c+=*u; /* bump pointer appropriately */
|
| 360 |
|
|
}
|
| 361 |
|
|
*c='\0'; /* add terminator */
|
| 362 |
|
|
/*printf("res %s\n", string); */
|
| 363 |
|
|
return string;
|
| 364 |
|
|
} /* pre>0 */
|
| 365 |
|
|
|
| 366 |
|
|
/* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */
|
| 367 |
|
|
t=c+1-pre;
|
| 368 |
|
|
*(t+1)='\0'; /* can add terminator now */
|
| 369 |
|
|
for (; s>=cstart; s--, t--) *t=*s; /* shift whole coefficient right */
|
| 370 |
|
|
c=cstart;
|
| 371 |
|
|
*c++='0'; /* always starts with 0. */
|
| 372 |
|
|
*c++='.';
|
| 373 |
|
|
for (; pre<0; pre++) *c++='0'; /* add any 0's after '.' */
|
| 374 |
|
|
/*printf("res %s\n", string); */
|
| 375 |
|
|
return string;
|
| 376 |
|
|
} /* decimal32ToString */
|
| 377 |
|
|
|
| 378 |
|
|
/* ------------------------------------------------------------------ */
|
| 379 |
|
|
/* to-number -- conversion from numeric string */
|
| 380 |
|
|
/* */
|
| 381 |
|
|
/* decimal32FromString(result, string, set); */
|
| 382 |
|
|
/* */
|
| 383 |
|
|
/* result is the decimal32 format number which gets the result of */
|
| 384 |
|
|
/* the conversion */
|
| 385 |
|
|
/* *string is the character string which should contain a valid */
|
| 386 |
|
|
/* number (which may be a special value) */
|
| 387 |
|
|
/* set is the context */
|
| 388 |
|
|
/* */
|
| 389 |
|
|
/* The context is supplied to this routine is used for error handling */
|
| 390 |
|
|
/* (setting of status and traps) and for the rounding mode, only. */
|
| 391 |
|
|
/* If an error occurs, the result will be a valid decimal32 NaN. */
|
| 392 |
|
|
/* ------------------------------------------------------------------ */
|
| 393 |
|
|
decimal32 * decimal32FromString(decimal32 *result, const char *string,
|
| 394 |
|
|
decContext *set) {
|
| 395 |
|
|
decContext dc; /* work */
|
| 396 |
|
|
decNumber dn; /* .. */
|
| 397 |
|
|
|
| 398 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL32); /* no traps, please */
|
| 399 |
|
|
dc.round=set->round; /* use supplied rounding */
|
| 400 |
|
|
|
| 401 |
|
|
decNumberFromString(&dn, string, &dc); /* will round if needed */
|
| 402 |
|
|
decimal32FromNumber(result, &dn, &dc);
|
| 403 |
|
|
if (dc.status!=0) { /* something happened */
|
| 404 |
|
|
decContextSetStatus(set, dc.status); /* .. pass it on */
|
| 405 |
|
|
}
|
| 406 |
|
|
return result;
|
| 407 |
|
|
} /* decimal32FromString */
|
| 408 |
|
|
|
| 409 |
|
|
/* ------------------------------------------------------------------ */
|
| 410 |
|
|
/* decimal32IsCanonical -- test whether encoding is canonical */
|
| 411 |
|
|
/* d32 is the source decimal32 */
|
| 412 |
|
|
/* returns 1 if the encoding of d32 is canonical, 0 otherwise */
|
| 413 |
|
|
/* No error is possible. */
|
| 414 |
|
|
/* ------------------------------------------------------------------ */
|
| 415 |
|
|
uint32_t decimal32IsCanonical(const decimal32 *d32) {
|
| 416 |
|
|
decNumber dn; /* work */
|
| 417 |
|
|
decimal32 canon; /* .. */
|
| 418 |
|
|
decContext dc; /* .. */
|
| 419 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL32);
|
| 420 |
|
|
decimal32ToNumber(d32, &dn);
|
| 421 |
|
|
decimal32FromNumber(&canon, &dn, &dc);/* canon will now be canonical */
|
| 422 |
|
|
return memcmp(d32, &canon, DECIMAL32_Bytes)==0;
|
| 423 |
|
|
} /* decimal32IsCanonical */
|
| 424 |
|
|
|
| 425 |
|
|
/* ------------------------------------------------------------------ */
|
| 426 |
|
|
/* decimal32Canonical -- copy an encoding, ensuring it is canonical */
|
| 427 |
|
|
/* d32 is the source decimal32 */
|
| 428 |
|
|
/* result is the target (may be the same decimal32) */
|
| 429 |
|
|
/* returns result */
|
| 430 |
|
|
/* No error is possible. */
|
| 431 |
|
|
/* ------------------------------------------------------------------ */
|
| 432 |
|
|
decimal32 * decimal32Canonical(decimal32 *result, const decimal32 *d32) {
|
| 433 |
|
|
decNumber dn; /* work */
|
| 434 |
|
|
decContext dc; /* .. */
|
| 435 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL32);
|
| 436 |
|
|
decimal32ToNumber(d32, &dn);
|
| 437 |
|
|
decimal32FromNumber(result, &dn, &dc);/* result will now be canonical */
|
| 438 |
|
|
return result;
|
| 439 |
|
|
} /* decimal32Canonical */
|
| 440 |
|
|
|
| 441 |
|
|
#if DECTRACE || DECCHECK
|
| 442 |
|
|
/* Macros for accessing decimal32 fields. These assume the argument
|
| 443 |
|
|
is a reference (pointer) to the decimal32 structure, and the
|
| 444 |
|
|
decimal32 is in network byte order (big-endian) */
|
| 445 |
|
|
/* Get sign */
|
| 446 |
|
|
#define decimal32Sign(d) ((unsigned)(d)->bytes[0]>>7)
|
| 447 |
|
|
|
| 448 |
|
|
/* Get combination field */
|
| 449 |
|
|
#define decimal32Comb(d) (((d)->bytes[0] & 0x7c)>>2)
|
| 450 |
|
|
|
| 451 |
|
|
/* Get exponent continuation [does not remove bias] */
|
| 452 |
|
|
#define decimal32ExpCon(d) ((((d)->bytes[0] & 0x03)<<4) \
|
| 453 |
|
|
| ((unsigned)(d)->bytes[1]>>4))
|
| 454 |
|
|
|
| 455 |
|
|
/* Set sign [this assumes sign previously 0] */
|
| 456 |
|
|
#define decimal32SetSign(d, b) { \
|
| 457 |
|
|
(d)->bytes[0]|=((unsigned)(b)<<7);}
|
| 458 |
|
|
|
| 459 |
|
|
/* Set exponent continuation [does not apply bias] */
|
| 460 |
|
|
/* This assumes range has been checked and exponent previously 0; */
|
| 461 |
|
|
/* type of exponent must be unsigned */
|
| 462 |
|
|
#define decimal32SetExpCon(d, e) { \
|
| 463 |
|
|
(d)->bytes[0]|=(uint8_t)((e)>>4); \
|
| 464 |
|
|
(d)->bytes[1]|=(uint8_t)(((e)&0x0F)<<4);}
|
| 465 |
|
|
|
| 466 |
|
|
/* ------------------------------------------------------------------ */
|
| 467 |
|
|
/* decimal32Show -- display a decimal32 in hexadecimal [debug aid] */
|
| 468 |
|
|
/* d32 -- the number to show */
|
| 469 |
|
|
/* ------------------------------------------------------------------ */
|
| 470 |
|
|
/* Also shows sign/cob/expconfields extracted - valid bigendian only */
|
| 471 |
|
|
void decimal32Show(const decimal32 *d32) {
|
| 472 |
|
|
char buf[DECIMAL32_Bytes*2+1];
|
| 473 |
|
|
Int i, j=0;
|
| 474 |
|
|
|
| 475 |
|
|
if (DECLITEND) {
|
| 476 |
|
|
for (i=0; i<DECIMAL32_Bytes; i++, j+=2) {
|
| 477 |
|
|
sprintf(&buf[j], "%02x", d32->bytes[3-i]);
|
| 478 |
|
|
}
|
| 479 |
|
|
printf(" D32> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf,
|
| 480 |
|
|
d32->bytes[3]>>7, (d32->bytes[3]>>2)&0x1f,
|
| 481 |
|
|
((d32->bytes[3]&0x3)<<4)| (d32->bytes[2]>>4));
|
| 482 |
|
|
}
|
| 483 |
|
|
else {
|
| 484 |
|
|
for (i=0; i<DECIMAL32_Bytes; i++, j+=2) {
|
| 485 |
|
|
sprintf(&buf[j], "%02x", d32->bytes[i]);
|
| 486 |
|
|
}
|
| 487 |
|
|
printf(" D32> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf,
|
| 488 |
|
|
decimal32Sign(d32), decimal32Comb(d32), decimal32ExpCon(d32));
|
| 489 |
|
|
}
|
| 490 |
|
|
} /* decimal32Show */
|
| 491 |
|
|
#endif
|
