/* Decimal 64-bit format module for the decNumber C Library Copyright (C) 2005 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. 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. */ /* ------------------------------------------------------------------ */ /* This module comprises the routines for decimal64 format numbers. */ /* Conversions are supplied to and from decNumber and String. */ /* */ /* No arithmetic routines are included; decNumber provides these. */ /* */ /* Error handling is the same as decNumber (qv.). */ /* ------------------------------------------------------------------ */ #include /* [for memset/memcpy] */ #include /* [for printf] */ #define DECNUMDIGITS 16 /* we need decNumbers with space for 16 */ #include "config.h" #include "decNumber.h" /* base number library */ #include "decNumberLocal.h" /* decNumber local types, etc. */ #include "decimal64.h" /* our primary include */ #include "decUtility.h" /* utility routines */ #if DECTRACE || DECCHECK void decimal64Show (const decimal64 *); /* for debug */ void decNumberShow (const decNumber *); /* .. */ #endif /* Useful macro */ /* Clear a structure (e.g., a decNumber) */ #define DEC_clear(d) memset(d, 0, sizeof(*d)) /* ------------------------------------------------------------------ */ /* 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 pad = 0; /* coefficient pad digits */ decNumber dw; /* work */ decContext dc; /* .. */ uByte isneg = dn->bits & DECNEG; /* non-0 if original sign set */ uInt comb, exp; /* work */ /* If the number is finite, and has too many digits, or the exponent */ /* could be out of range then we reduce the number under the */ /* appropriate constraints */ if (!(dn->bits & DECSPECIAL)) { /* not a special value */ Int ae = dn->exponent + dn->digits - 1; /* adjusted exponent */ 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, but it will be restored below] */ status |= dc.status; /* save status */ dn = &dw; /* use the work number */ } /* [this could have pushed number to Infinity or zero, so this */ /* rounding must be done before we generate the decimal64] */ } DEC_clear (d64); /* clean the target */ if (dn->bits & DECSPECIAL) { /* a special value */ uByte top; /* work */ if (dn->bits & DECINF) top = DECIMAL_Inf; else { /* sNaN or qNaN */ if ((*dn->lsu != 0 || dn->digits > 1) /* non-zero coefficient */ && (dn->digits < DECIMAL64_Pmax)) { /* coefficient fits */ decDensePackCoeff (dn, d64->bytes, sizeof (d64->bytes), 0); } if (dn->bits & DECNAN) top = DECIMAL_NaN; else top = DECIMAL_sNaN; } d64->bytes[0] = top; } else if (decNumberIsZero (dn)) { /* a zero */ /* set and clamp exponent */ if (dn->exponent < -DECIMAL64_Bias) { exp = 0; 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; /* combination field */ d64->bytes[0] = (uByte) (comb << 2); exp &= 0xff; /* remaining exponent bits */ decimal64SetExpCon (d64, exp); } else { /* non-zero finite number */ uInt msd; /* work */ /* we have a dn that fits, 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; } decDensePackCoeff (dn, d64->bytes, sizeof (d64->bytes), pad); /* save and clear the top digit */ msd = ((unsigned) d64->bytes[1] >> 2) & 0x0f; d64->bytes[1] &= 0x03; /* create the combination field */ if (msd >= 8) comb = 0x18 | (msd & 0x01) | ((exp >> 7) & 0x06); else comb = (msd & 0x07) | ((exp >> 5) & 0x18); d64->bytes[0] = (uByte) (comb << 2); exp &= 0xff; /* remaining exponent bits */ decimal64SetExpCon (d64, exp); } if (isneg) decimal64SetSign (d64, 1); if (status != 0) decContextSetStatus (set, status); /* pass on status */ /*decimal64Show(d64); */ return d64; } /* ------------------------------------------------------------------ */ /* 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 */ decimal64 wk; /* working copy, if needed */ uInt top = d64->bytes[0] & 0x7f; /* top byte, less sign bit */ decNumberZero (dn); /* clean target */ /* set the sign if negative */ if (decimal64Sign (d64)) dn->bits = DECNEG; if (top >= 0x78) { /* is a special */ if ((top & 0x7c) == (DECIMAL_Inf & 0x7c)) dn->bits |= DECINF; else if ((top & 0x7e) == (DECIMAL_NaN & 0x7e)) dn->bits |= DECNAN; else dn->bits |= DECSNAN; msd = 0; /* no top digit */ } else { /* have a finite number */ uInt comb = top >> 2; /* combination field */ uInt exp; /* exponent */ if (comb >= 0x18) { msd = 8 + (comb & 0x01); exp = (comb & 0x06) << 7; /* MSBs */ } else { msd = comb & 0x07; exp = (comb & 0x18) << 5; } dn->exponent = exp + decimal64ExpCon (d64) - DECIMAL64_Bias; /* remove bias */ } /* get the coefficient, unless infinite */ if (!(dn->bits & DECINF)) { Int bunches = DECIMAL64_Pmax / 3; /* coefficient full bunches to convert */ Int odd = 0; /* assume MSD is 0 (no odd bunch) */ if (msd != 0) { /* coefficient has leading non-0 digit */ /* make a copy of the decimal64, with an extra bunch which has */ /* the top digit ready for conversion */ wk = *d64; /* take a copy */ wk.bytes[0] = 0; /* clear all but coecon */ wk.bytes[1] &= 0x03; /* .. */ wk.bytes[1] |= (msd << 2); /* and prefix MSD */ odd++; /* indicate the extra */ d64 = &wk; /* use the work copy */ } decDenseUnpackCoeff (d64->bytes, sizeof (d64->bytes), dn, bunches, odd); } return dn; } /* ------------------------------------------------------------------ */ /* 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 * decimal64ToString (const decimal64 * d64, char *string) { decNumber dn; /* work */ decimal64ToNumber (d64, &dn); decNumberToString (&dn, string); return string; } char * decimal64ToEngString (const decimal64 * d64, char *string) { decNumber dn; /* work */ decimal64ToNumber (d64, &dn); decNumberToEngString (&dn, string); return string; } /* ------------------------------------------------------------------ */ /* 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; } #if DECTRACE || DECCHECK /* ------------------------------------------------------------------ */ /* decimal64Show -- display a single 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; j = 0; for (i = 0; i < DECIMAL64_Bytes; i++) { sprintf (&buf[j], "%02x", d64->bytes[i]); j = j + 2; } printf (" D64> %s [S:%d Cb:%02x E:%d]\n", buf, decimal64Sign (d64), decimal64Comb (d64), decimal64ExpCon (d64)); } #endif