| 1 |
24 |
jeremybenn |
/* Decimal 128-bit format module for the decNumber C Library.
|
| 2 |
|
|
Copyright (C) 2005, 2007 Free Software Foundation, Inc.
|
| 3 |
|
|
Contributed by IBM Corporation. Author Mike Cowlishaw.
|
| 4 |
|
|
|
| 5 |
|
|
This file is part of GCC.
|
| 6 |
|
|
|
| 7 |
|
|
GCC is free software; you can redistribute it and/or modify it under
|
| 8 |
|
|
the terms of the GNU General Public License as published by the Free
|
| 9 |
|
|
Software Foundation; either version 2, or (at your option) any later
|
| 10 |
|
|
version.
|
| 11 |
|
|
|
| 12 |
|
|
In addition to the permissions in the GNU General Public License,
|
| 13 |
|
|
the Free Software Foundation gives you unlimited permission to link
|
| 14 |
|
|
the compiled version of this file into combinations with other
|
| 15 |
|
|
programs, and to distribute those combinations without any
|
| 16 |
|
|
restriction coming from the use of this file. (The General Public
|
| 17 |
|
|
License restrictions do apply in other respects; for example, they
|
| 18 |
|
|
cover modification of the file, and distribution when not linked
|
| 19 |
|
|
into a combine executable.)
|
| 20 |
|
|
|
| 21 |
|
|
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
|
| 22 |
|
|
WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
| 23 |
|
|
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
|
| 24 |
|
|
for more details.
|
| 25 |
|
|
|
| 26 |
|
|
You should have received a copy of the GNU General Public License
|
| 27 |
|
|
along with GCC; see the file COPYING. If not, write to the Free
|
| 28 |
|
|
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
|
| 29 |
|
|
02110-1301, USA. */
|
| 30 |
|
|
|
| 31 |
|
|
/* ------------------------------------------------------------------ */
|
| 32 |
|
|
/* Decimal 128-bit format module */
|
| 33 |
|
|
/* ------------------------------------------------------------------ */
|
| 34 |
|
|
/* This module comprises the routines for decimal128 format numbers. */
|
| 35 |
|
|
/* Conversions are supplied to and from decNumber and String. */
|
| 36 |
|
|
/* */
|
| 37 |
|
|
/* This is used when decNumber provides operations, either for all */
|
| 38 |
|
|
/* operations or as a proxy between decNumber and decSingle. */
|
| 39 |
|
|
/* */
|
| 40 |
|
|
/* Error handling is the same as decNumber (qv.). */
|
| 41 |
|
|
/* ------------------------------------------------------------------ */
|
| 42 |
|
|
#include <string.h> /* [for memset/memcpy] */
|
| 43 |
|
|
#include <stdio.h> /* [for printf] */
|
| 44 |
|
|
|
| 45 |
|
|
#include "config.h" /* GCC definitions */
|
| 46 |
|
|
#define DECNUMDIGITS 34 /* make decNumbers with space for 34 */
|
| 47 |
|
|
#include "decNumber.h" /* base number library */
|
| 48 |
|
|
#include "decNumberLocal.h" /* decNumber local types, etc. */
|
| 49 |
|
|
#include "decimal128.h" /* our primary include */
|
| 50 |
|
|
|
| 51 |
|
|
/* Utility routines and tables [in decimal64.c] */
|
| 52 |
|
|
extern const uInt COMBEXP[32], COMBMSD[32];
|
| 53 |
|
|
extern const uShort DPD2BIN[1024];
|
| 54 |
|
|
extern const uShort BIN2DPD[1000]; /* [not used] */
|
| 55 |
|
|
extern const uByte BIN2CHAR[4001];
|
| 56 |
|
|
|
| 57 |
|
|
extern void decDigitsFromDPD(decNumber *, const uInt *, Int);
|
| 58 |
|
|
extern void decDigitsToDPD(const decNumber *, uInt *, Int);
|
| 59 |
|
|
|
| 60 |
|
|
#if DECTRACE || DECCHECK
|
| 61 |
|
|
void decimal128Show(const decimal128 *); /* for debug */
|
| 62 |
|
|
extern void decNumberShow(const decNumber *); /* .. */
|
| 63 |
|
|
#endif
|
| 64 |
|
|
|
| 65 |
|
|
/* Useful macro */
|
| 66 |
|
|
/* Clear a structure (e.g., a decNumber) */
|
| 67 |
|
|
#define DEC_clear(d) memset(d, 0, sizeof(*d))
|
| 68 |
|
|
|
| 69 |
|
|
/* ------------------------------------------------------------------ */
|
| 70 |
|
|
/* decimal128FromNumber -- convert decNumber to decimal128 */
|
| 71 |
|
|
/* */
|
| 72 |
|
|
/* ds is the target decimal128 */
|
| 73 |
|
|
/* dn is the source number (assumed valid) */
|
| 74 |
|
|
/* set is the context, used only for reporting errors */
|
| 75 |
|
|
/* */
|
| 76 |
|
|
/* The set argument is used only for status reporting and for the */
|
| 77 |
|
|
/* rounding mode (used if the coefficient is more than DECIMAL128_Pmax*/
|
| 78 |
|
|
/* digits or an overflow is detected). If the exponent is out of the */
|
| 79 |
|
|
/* valid range then Overflow or Underflow will be raised. */
|
| 80 |
|
|
/* After Underflow a subnormal result is possible. */
|
| 81 |
|
|
/* */
|
| 82 |
|
|
/* DEC_Clamped is set if the number has to be 'folded down' to fit, */
|
| 83 |
|
|
/* by reducing its exponent and multiplying the coefficient by a */
|
| 84 |
|
|
/* power of ten, or if the exponent on a zero had to be clamped. */
|
| 85 |
|
|
/* ------------------------------------------------------------------ */
|
| 86 |
|
|
decimal128 * decimal128FromNumber(decimal128 *d128, const decNumber *dn,
|
| 87 |
|
|
decContext *set) {
|
| 88 |
|
|
uInt status=0; /* status accumulator */
|
| 89 |
|
|
Int ae; /* adjusted exponent */
|
| 90 |
|
|
decNumber dw; /* work */
|
| 91 |
|
|
decContext dc; /* .. */
|
| 92 |
|
|
uInt *pu; /* .. */
|
| 93 |
|
|
uInt comb, exp; /* .. */
|
| 94 |
|
|
uInt targar[4]={0,0,0,0}; /* target 128-bit */
|
| 95 |
|
|
#define targhi targar[3] /* name the word with the sign */
|
| 96 |
|
|
#define targmh targar[2] /* name the words */
|
| 97 |
|
|
#define targml targar[1] /* .. */
|
| 98 |
|
|
#define targlo targar[0] /* .. */
|
| 99 |
|
|
|
| 100 |
|
|
/* If the number has too many digits, or the exponent could be */
|
| 101 |
|
|
/* out of range then reduce the number under the appropriate */
|
| 102 |
|
|
/* constraints. This could push the number to Infinity or zero, */
|
| 103 |
|
|
/* so this check and rounding must be done before generating the */
|
| 104 |
|
|
/* decimal128] */
|
| 105 |
|
|
ae=dn->exponent+dn->digits-1; /* [0 if special] */
|
| 106 |
|
|
if (dn->digits>DECIMAL128_Pmax /* too many digits */
|
| 107 |
|
|
|| ae>DECIMAL128_Emax /* likely overflow */
|
| 108 |
|
|
|| ae<DECIMAL128_Emin) { /* likely underflow */
|
| 109 |
|
|
decContextDefault(&dc, DEC_INIT_DECIMAL128); /* [no traps] */
|
| 110 |
|
|
dc.round=set->round; /* use supplied rounding */
|
| 111 |
|
|
decNumberPlus(&dw, dn, &dc); /* (round and check) */
|
| 112 |
|
|
/* [this changes -0 to 0, so enforce the sign...] */
|
| 113 |
|
|
dw.bits|=dn->bits&DECNEG;
|
| 114 |
|
|
status=dc.status; /* save status */
|
| 115 |
|
|
dn=&dw; /* use the work number */
|
| 116 |
|
|
} /* maybe out of range */
|
| 117 |
|
|
|
| 118 |
|
|
if (dn->bits&DECSPECIAL) { /* a special value */
|
| 119 |
|
|
if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24;
|
| 120 |
|
|
else { /* sNaN or qNaN */
|
| 121 |
|
|
if ((*dn->lsu!=0 || dn->digits>1) /* non-zero coefficient */
|
| 122 |
|
|
&& (dn->digits<DECIMAL128_Pmax)) { /* coefficient fits */
|
| 123 |
|
|
decDigitsToDPD(dn, targar, 0);
|
| 124 |
|
|
}
|
| 125 |
|
|
if (dn->bits&DECNAN) targhi|=DECIMAL_NaN<<24;
|
| 126 |
|
|
else targhi|=DECIMAL_sNaN<<24;
|
| 127 |
|
|
} /* a NaN */
|
| 128 |
|
|
} /* special */
|
| 129 |
|
|
|
| 130 |
|
|
else { /* is finite */
|
| 131 |
|
|
if (decNumberIsZero(dn)) { /* is a zero */
|
| 132 |
|
|
/* set and clamp exponent */
|
| 133 |
|
|
if (dn->exponent<-DECIMAL128_Bias) {
|
| 134 |
|
|
exp=0; /* low clamp */
|
| 135 |
|
|
status|=DEC_Clamped;
|
| 136 |
|
|
}
|
| 137 |
|
|
else {
|
| 138 |
|
|
exp=dn->exponent+DECIMAL128_Bias; /* bias exponent */
|
| 139 |
|
|
if (exp>DECIMAL128_Ehigh) { /* top clamp */
|
| 140 |
|
|
exp=DECIMAL128_Ehigh;
|
| 141 |
|
|
status|=DEC_Clamped;
|
| 142 |
|
|
}
|
| 143 |
|
|
}
|
| 144 |
|
|
comb=(exp>>9) & 0x18; /* msd=0, exp top 2 bits .. */
|
| 145 |
|
|
}
|
| 146 |
|
|
else { /* non-zero finite number */
|
| 147 |
|
|
uInt msd; /* work */
|
| 148 |
|
|
Int pad=0; /* coefficient pad digits */
|
| 149 |
|
|
|
| 150 |
|
|
/* the dn is known to fit, but it may need to be padded */
|
| 151 |
|
|
exp=(uInt)(dn->exponent+DECIMAL128_Bias); /* bias exponent */
|
| 152 |
|
|
if (exp>DECIMAL128_Ehigh) { /* fold-down case */
|
| 153 |
|
|
pad=exp-DECIMAL128_Ehigh;
|
| 154 |
|
|
exp=DECIMAL128_Ehigh; /* [to maximum] */
|
| 155 |
|
|
status|=DEC_Clamped;
|
| 156 |
|
|
}
|
| 157 |
|
|
|
| 158 |
|
|
/* [fastpath for common case is not a win, here] */
|
| 159 |
|
|
decDigitsToDPD(dn, targar, pad);
|
| 160 |
|
|
/* save and clear the top digit */
|
| 161 |
|
|
msd=targhi>>14;
|
| 162 |
|
|
targhi&=0x00003fff;
|
| 163 |
|
|
|
| 164 |
|
|
/* create the combination field */
|
| 165 |
|
|
if (msd>=8) comb=0x18 | ((exp>>11) & 0x06) | (msd & 0x01);
|
| 166 |
|
|
else comb=((exp>>9) & 0x18) | msd;
|
| 167 |
|
|
}
|
| 168 |
|
|
targhi|=comb<<26; /* add combination field .. */
|
| 169 |
|
|
targhi|=(exp&0xfff)<<14; /* .. and exponent continuation */
|
| 170 |
|
|
} /* finite */
|
| 171 |
|
|
|
| 172 |
|
|
if (dn->bits&DECNEG) targhi|=0x80000000; /* add sign bit */
|
| 173 |
|
|
|
| 174 |
|
|
/* now write to storage; this is endian */
|
| 175 |
|
|
pu=(uInt *)d128->bytes; /* overlay */
|
| 176 |
|
|
if (DECLITEND) {
|
| 177 |
|
|
pu[0]=targlo; /* directly store the low int */
|
| 178 |
|
|
pu[1]=targml; /* then the mid-low */
|
| 179 |
|
|
pu[2]=targmh; /* then the mid-high */
|
| 180 |
|
|
pu[3]=targhi; /* then the high int */
|
| 181 |
|
|
}
|
| 182 |
|
|
else {
|
| 183 |
|
|
pu[0]=targhi; /* directly store the high int */
|
| 184 |
|
|
pu[1]=targmh; /* then the mid-high */
|
| 185 |
|
|
pu[2]=targml; /* then the mid-low */
|
| 186 |
|
|
pu[3]=targlo; /* then the low int */
|
| 187 |
|
|
}
|
| 188 |
|
|
|
| 189 |
|
|
if (status!=0) decContextSetStatus(set, status); /* pass on status */
|
| 190 |
|
|
/* decimal128Show(d128); */
|
| 191 |
|
|
return d128;
|
| 192 |
|
|
} /* decimal128FromNumber */
|
| 193 |
|
|
|
| 194 |
|
|
/* ------------------------------------------------------------------ */
|
| 195 |
|
|
/* decimal128ToNumber -- convert decimal128 to decNumber */
|
| 196 |
|
|
/* d128 is the source decimal128 */
|
| 197 |
|
|
/* dn is the target number, with appropriate space */
|
| 198 |
|
|
/* No error is possible. */
|
| 199 |
|
|
/* ------------------------------------------------------------------ */
|
| 200 |
|
|
decNumber * decimal128ToNumber(const decimal128 *d128, decNumber *dn) {
|
| 201 |
|
|
uInt msd; /* coefficient MSD */
|
| 202 |
|
|
uInt exp; /* exponent top two bits */
|
| 203 |
|
|
uInt comb; /* combination field */
|
| 204 |
|
|
const uInt *pu; /* work */
|
| 205 |
|
|
Int need; /* .. */
|
| 206 |
|
|
uInt sourar[4]; /* source 128-bit */
|
| 207 |
|
|
#define sourhi sourar[3] /* name the word with the sign */
|
| 208 |
|
|
#define sourmh sourar[2] /* and the mid-high word */
|
| 209 |
|
|
#define sourml sourar[1] /* and the mod-low word */
|
| 210 |
|
|
#define sourlo sourar[0] /* and the lowest word */
|
| 211 |
|
|
|
| 212 |
|
|
/* load source from storage; this is endian */
|
| 213 |
|
|
pu=(const uInt *)d128->bytes; /* overlay */
|
| 214 |
|
|
if (DECLITEND) {
|
| 215 |
|
|
sourlo=pu[0]; /* directly load the low int */
|
| 216 |
|
|
sourml=pu[1]; /* then the mid-low */
|
| 217 |
|
|
sourmh=pu[2]; /* then the mid-high */
|
| 218 |
|
|
sourhi=pu[3]; /* then the high int */
|
| 219 |
|
|
}
|
| 220 |
|
|
else {
|
| 221 |
|
|
sourhi=pu[0]; /* directly load the high int */
|
| 222 |
|
|
sourmh=pu[1]; /* then the mid-high */
|
| 223 |
|
|
sourml=pu[2]; /* then the mid-low */
|
| 224 |
|
|
sourlo=pu[3]; /* then the low int */
|
| 225 |
|
|
}
|
| 226 |
|
|
|
| 227 |
|
|
comb=(sourhi>>26)&0x1f; /* combination field */
|
| 228 |
|
|
|
| 229 |
|
|
decNumberZero(dn); /* clean number */
|
| 230 |
|
|
if (sourhi&0x80000000) dn->bits=DECNEG; /* set sign if negative */
|
| 231 |
|
|
|
| 232 |
|
|
msd=COMBMSD[comb]; /* decode the combination field */
|
| 233 |
|
|
exp=COMBEXP[comb]; /* .. */
|
| 234 |
|
|
|
| 235 |
|
|
if (exp==3) { /* is a special */
|
| 236 |
|
|
if (msd==0) {
|
| 237 |
|
|
dn->bits|=DECINF;
|
| 238 |
|
|
return dn; /* no coefficient needed */
|
| 239 |
|
|
}
|
| 240 |
|
|
else if (sourhi&0x02000000) dn->bits|=DECSNAN;
|
| 241 |
|
|
else dn->bits|=DECNAN;
|
| 242 |
|
|
msd=0; /* no top digit */
|
| 243 |
|
|
}
|
| 244 |
|
|
else { /* is a finite number */
|
| 245 |
|
|
dn->exponent=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; /* unbiased */
|
| 246 |
|
|
}
|
| 247 |
|
|
|
| 248 |
|
|
/* get the coefficient */
|
| 249 |
|
|
sourhi&=0x00003fff; /* clean coefficient continuation */
|
| 250 |
|
|
if (msd) { /* non-zero msd */
|
| 251 |
|
|
sourhi|=msd<<14; /* prefix to coefficient */
|
| 252 |
|
|
need=12; /* process 12 declets */
|
| 253 |
|
|
}
|
| 254 |
|
|
else { /* msd=0 */
|
| 255 |
|
|
if (sourhi) need=11; /* declets to process */
|
| 256 |
|
|
else if (sourmh) need=10;
|
| 257 |
|
|
else if (sourml) need=7;
|
| 258 |
|
|
else if (sourlo) need=4;
|
| 259 |
|
|
else return dn; /* easy: coefficient is 0 */
|
| 260 |
|
|
} /*msd=0 */
|
| 261 |
|
|
|
| 262 |
|
|
decDigitsFromDPD(dn, sourar, need); /* process declets */
|
| 263 |
|
|
/* decNumberShow(dn); */
|
| 264 |
|
|
return dn;
|
| 265 |
|
|
} /* decimal128ToNumber */
|
| 266 |
|
|
|
| 267 |
|
|
/* ------------------------------------------------------------------ */
|
| 268 |
|
|
/* to-scientific-string -- conversion to numeric string */
|
| 269 |
|
|
/* to-engineering-string -- conversion to numeric string */
|
| 270 |
|
|
/* */
|
| 271 |
|
|
/* decimal128ToString(d128, string); */
|
| 272 |
|
|
/* decimal128ToEngString(d128, string); */
|
| 273 |
|
|
/* */
|
| 274 |
|
|
/* d128 is the decimal128 format number to convert */
|
| 275 |
|
|
/* string is the string where the result will be laid out */
|
| 276 |
|
|
/* */
|
| 277 |
|
|
/* string must be at least 24 characters */
|
| 278 |
|
|
/* */
|
| 279 |
|
|
/* No error is possible, and no status can be set. */
|
| 280 |
|
|
/* ------------------------------------------------------------------ */
|
| 281 |
|
|
char * decimal128ToEngString(const decimal128 *d128, char *string){
|
| 282 |
|
|
decNumber dn; /* work */
|
| 283 |
|
|
decimal128ToNumber(d128, &dn);
|
| 284 |
|
|
decNumberToEngString(&dn, string);
|
| 285 |
|
|
return string;
|
| 286 |
|
|
} /* decimal128ToEngString */
|
| 287 |
|
|
|
| 288 |
|
|
char * decimal128ToString(const decimal128 *d128, char *string){
|
| 289 |
|
|
uInt msd; /* coefficient MSD */
|
| 290 |
|
|
Int exp; /* exponent top two bits or full */
|
| 291 |
|
|
uInt comb; /* combination field */
|
| 292 |
|
|
char *cstart; /* coefficient start */
|
| 293 |
|
|
char *c; /* output pointer in string */
|
| 294 |
|
|
const uInt *pu; /* work */
|
| 295 |
|
|
char *s, *t; /* .. (source, target) */
|
| 296 |
|
|
Int dpd; /* .. */
|
| 297 |
|
|
Int pre, e; /* .. */
|
| 298 |
|
|
const uByte *u; /* .. */
|
| 299 |
|
|
|
| 300 |
|
|
uInt sourar[4]; /* source 128-bit */
|
| 301 |
|
|
#define sourhi sourar[3] /* name the word with the sign */
|
| 302 |
|
|
#define sourmh sourar[2] /* and the mid-high word */
|
| 303 |
|
|
#define sourml sourar[1] /* and the mod-low word */
|
| 304 |
|
|
#define sourlo sourar[0] /* and the lowest word */
|
| 305 |
|
|
|
| 306 |
|
|
/* load source from storage; this is endian */
|
| 307 |
|
|
pu=(const uInt *)d128->bytes; /* overlay */
|
| 308 |
|
|
if (DECLITEND) {
|
| 309 |
|
|
sourlo=pu[0]; /* directly load the low int */
|
| 310 |
|
|
sourml=pu[1]; /* then the mid-low */
|
| 311 |
|
|
sourmh=pu[2]; /* then the mid-high */
|
| 312 |
|
|
sourhi=pu[3]; /* then the high int */
|
| 313 |
|
|
}
|
| 314 |
|
|
else {
|
| 315 |
|
|
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
|
