2017-04-11 21:13:36 +00:00
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/* Extended precision arithmetic functions for long double I/O.
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* This program has been placed in the public domain.
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*/
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#include <_ansi.h>
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#include <reent.h>
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#include <string.h>
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#include <stdlib.h>
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#include "mprec.h"
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/* These are the externally visible entries. */
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/* linux name: long double _IO_strtold (char *, char **); */
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long double _strtold (char *, char **);
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2017-10-07 00:16:47 +00:00
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char *_ldtoa_r (struct _reent *, long double, int, int, int *, int *,
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char **);
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int _ldcheck (long double *);
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2017-04-11 21:13:36 +00:00
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#if 0
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2017-10-07 00:16:47 +00:00
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void _IO_ldtostr (long double *, char *, int, int, char);
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2017-04-11 21:13:36 +00:00
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#endif
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/* Number of 16 bit words in external x type format */
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2017-10-07 00:16:47 +00:00
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#define NE 10
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2017-04-11 21:13:36 +00:00
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/* Number of 16 bit words in internal format */
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2017-10-07 00:16:47 +00:00
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#define NI (NE+3)
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2017-04-11 21:13:36 +00:00
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/* Array offset to exponent */
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2017-10-07 00:16:47 +00:00
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#define E 1
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2017-04-11 21:13:36 +00:00
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/* Array offset to high guard word */
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2017-10-07 00:16:47 +00:00
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#define M 2
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2017-04-11 21:13:36 +00:00
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/* Number of bits of precision */
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2017-10-07 00:16:47 +00:00
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#define NBITS ((NI-4)*16)
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2017-04-11 21:13:36 +00:00
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/* Maximum number of decimal digits in ASCII conversion
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* = NBITS*log10(2)
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*/
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2017-10-07 00:16:47 +00:00
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#define NDEC (NBITS*8/27)
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2017-04-11 21:13:36 +00:00
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/* The exponent of 1.0 */
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2017-10-07 00:16:47 +00:00
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#define EXONE (0x3fff)
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2017-04-11 21:13:36 +00:00
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/* Maximum exponent digits - base 10 */
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2017-10-07 00:16:47 +00:00
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#define MAX_EXP_DIGITS 5
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2017-04-11 21:13:36 +00:00
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/* Control structure for long double conversion including rounding precision values.
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* rndprc can be set to 80 (if NE=6), 64, 56, 53, or 24 bits.
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*/
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typedef struct
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{
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int rlast;
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int rndprc;
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int rw;
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int re;
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int outexpon;
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unsigned short rmsk;
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unsigned short rmbit;
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unsigned short rebit;
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unsigned short rbit[NI];
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unsigned short equot[NI];
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} LDPARMS;
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2017-10-07 00:16:47 +00:00
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static void esub (_CONST short unsigned int *a, _CONST short unsigned int *b,
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short unsigned int *c, LDPARMS * ldp);
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static void emul (_CONST short unsigned int *a, _CONST short unsigned int *b,
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short unsigned int *c, LDPARMS * ldp);
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static void ediv (_CONST short unsigned int *a, _CONST short unsigned int *b,
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short unsigned int *c, LDPARMS * ldp);
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static int ecmp (_CONST short unsigned int *a, _CONST short unsigned int *b);
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static int enormlz (short unsigned int *x);
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static int eshift (short unsigned int *x, int sc);
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static void eshup1 (register short unsigned int *x);
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static void eshup8 (register short unsigned int *x);
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static void eshup6 (register short unsigned int *x);
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static void eshdn1 (register short unsigned int *x);
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static void eshdn8 (register short unsigned int *x);
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static void eshdn6 (register short unsigned int *x);
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static void eneg (short unsigned int *x);
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static void emov (register _CONST short unsigned int *a,
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register short unsigned int *b);
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static void eclear (register short unsigned int *x);
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static void einfin (register short unsigned int *x, register LDPARMS * ldp);
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static void efloor (short unsigned int *x, short unsigned int *y,
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LDPARMS * ldp);
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static void etoasc (short unsigned int *x, char *string, int ndigs,
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int outformat, LDPARMS * ldp);
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2017-04-11 21:13:36 +00:00
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union uconv
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{
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unsigned short pe;
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long double d;
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};
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#if LDBL_MANT_DIG == 24
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2017-10-07 00:16:47 +00:00
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static void e24toe (short unsigned int *pe, short unsigned int *y,
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LDPARMS * ldp);
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2017-04-11 21:13:36 +00:00
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#elif LDBL_MANT_DIG == 53
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2017-10-07 00:16:47 +00:00
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static void e53toe (short unsigned int *pe, short unsigned int *y,
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LDPARMS * ldp);
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2017-04-11 21:13:36 +00:00
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#elif LDBL_MANT_DIG == 64
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2017-10-07 00:16:47 +00:00
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static void e64toe (short unsigned int *pe, short unsigned int *y,
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LDPARMS * ldp);
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2017-04-11 21:13:36 +00:00
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#else
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2017-10-07 00:16:47 +00:00
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static void e113toe (short unsigned int *pe, short unsigned int *y,
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LDPARMS * ldp);
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2017-04-11 21:13:36 +00:00
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#endif
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/* econst.c */
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/* e type constants used by high precision check routines */
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#if NE == 10
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/* 0.0 */
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2017-10-07 00:16:47 +00:00
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static _CONST unsigned short ezero[NE] = { 0x0000, 0x0000, 0x0000, 0x0000,
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0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
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};
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2017-04-11 21:13:36 +00:00
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/* 1.0E0 */
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2017-10-07 00:16:47 +00:00
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static _CONST unsigned short eone[NE] = { 0x0000, 0x0000, 0x0000, 0x0000,
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0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,
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};
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2017-04-11 21:13:36 +00:00
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#else
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/* 0.0 */
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2017-10-07 00:16:47 +00:00
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static _CONST unsigned short ezero[NE] = {
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0, 0000000, 0000000, 0000000, 0000000, 0000000,
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};
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2017-04-11 21:13:36 +00:00
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/* 1.0E0 */
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2017-10-07 00:16:47 +00:00
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static _CONST unsigned short eone[NE] = {
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0, 0000000, 0000000, 0000000, 0100000, 0x3fff,
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};
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2017-04-11 21:13:36 +00:00
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#endif
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/* Debugging routine for displaying errors */
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#ifdef DEBUG
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/* Notice: the order of appearance of the following
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* messages is bound to the error codes defined
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* in mconf.h.
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*/
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2017-10-07 00:16:47 +00:00
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static _CONST char *_CONST ermsg[7] = {
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"unknown", /* error code 0 */
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"domain", /* error code 1 */
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"singularity", /* et seq. */
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"overflow",
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"underflow",
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"total loss of precision",
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"partial loss of precision"
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2017-04-11 21:13:36 +00:00
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};
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2017-10-07 00:16:47 +00:00
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2017-04-11 21:13:36 +00:00
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#define mtherr(name, code) printf( "\n%s %s error\n", name, ermsg[code] );
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#else
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#define mtherr(name, code)
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#endif
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/* ieee.c
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*
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* Extended precision IEEE binary floating point arithmetic routines
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*
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* Numbers are stored in C language as arrays of 16-bit unsigned
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* short integers. The arguments of the routines are pointers to
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* the arrays.
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*
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*
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* External e type data structure, simulates Intel 8087 chip
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* temporary real format but possibly with a larger significand:
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*
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* NE-1 significand words (least significant word first,
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* most significant bit is normally set)
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* exponent (value = EXONE for 1.0,
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* top bit is the sign)
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*
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*
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* Internal data structure of a number (a "word" is 16 bits):
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*
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* ei[0] sign word (0 for positive, 0xffff for negative)
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* ei[1] biased exponent (value = EXONE for the number 1.0)
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* ei[2] high guard word (always zero after normalization)
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* ei[3]
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* to ei[NI-2] significand (NI-4 significand words,
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* most significant word first,
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* most significant bit is set)
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* ei[NI-1] low guard word (0x8000 bit is rounding place)
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*
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*
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*
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* Routines for external format numbers
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*
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* asctoe( string, e ) ASCII string to extended double e type
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* asctoe64( string, &d ) ASCII string to long double
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* asctoe53( string, &d ) ASCII string to double
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* asctoe24( string, &f ) ASCII string to single
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* asctoeg( string, e, prec, ldp ) ASCII string to specified precision
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* e24toe( &f, e, ldp ) IEEE single precision to e type
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* e53toe( &d, e, ldp ) IEEE double precision to e type
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* e64toe( &d, e, ldp ) IEEE long double precision to e type
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* e113toe( &d, e, ldp ) IEEE long double precision to e type
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* eabs(e) absolute value
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* eadd( a, b, c ) c = b + a
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* eclear(e) e = 0
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* ecmp (a, b) Returns 1 if a > b, 0 if a == b,
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* -1 if a < b, -2 if either a or b is a NaN.
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* ediv( a, b, c, ldp ) c = b / a
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* efloor( a, b, ldp ) truncate to integer, toward -infinity
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* efrexp( a, exp, s ) extract exponent and significand
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* eifrac( e, &l, frac ) e to long integer and e type fraction
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* euifrac( e, &l, frac ) e to unsigned long integer and e type fraction
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* einfin( e, ldp ) set e to infinity, leaving its sign alone
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* eldexp( a, n, b ) multiply by 2**n
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* emov( a, b ) b = a
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* emul( a, b, c, ldp ) c = b * a
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* eneg(e) e = -e
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* eround( a, b ) b = nearest integer value to a
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* esub( a, b, c, ldp ) c = b - a
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* e24toasc( &f, str, n ) single to ASCII string, n digits after decimal
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* e53toasc( &d, str, n ) double to ASCII string, n digits after decimal
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* e64toasc( &d, str, n ) long double to ASCII string
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* etoasc(e,str,n,fmt,ldp)e to ASCII string, n digits after decimal
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* etoe24( e, &f ) convert e type to IEEE single precision
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* etoe53( e, &d ) convert e type to IEEE double precision
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* etoe64( e, &d ) convert e type to IEEE long double precision
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* ltoe( &l, e ) long (32 bit) integer to e type
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* ultoe( &l, e ) unsigned long (32 bit) integer to e type
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* eisneg( e ) 1 if sign bit of e != 0, else 0
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* eisinf( e ) 1 if e has maximum exponent (non-IEEE)
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* or is infinite (IEEE)
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* eisnan( e ) 1 if e is a NaN
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* esqrt( a, b ) b = square root of a
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*
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*
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* Routines for internal format numbers
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*
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* eaddm( ai, bi ) add significands, bi = bi + ai
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* ecleaz(ei) ei = 0
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* ecleazs(ei) set ei = 0 but leave its sign alone
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* ecmpm( ai, bi ) compare significands, return 1, 0, or -1
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* edivm( ai, bi, ldp ) divide significands, bi = bi / ai
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* emdnorm(ai,l,s,exp,ldp) normalize and round off
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* emovi( a, ai ) convert external a to internal ai
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* emovo( ai, a, ldp ) convert internal ai to external a
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* emovz( ai, bi ) bi = ai, low guard word of bi = 0
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* emulm( ai, bi, ldp ) multiply significands, bi = bi * ai
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* enormlz(ei) left-justify the significand
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* eshdn1( ai ) shift significand and guards down 1 bit
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* eshdn8( ai ) shift down 8 bits
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* eshdn6( ai ) shift down 16 bits
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* eshift( ai, n ) shift ai n bits up (or down if n < 0)
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* eshup1( ai ) shift significand and guards up 1 bit
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* eshup8( ai ) shift up 8 bits
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* eshup6( ai ) shift up 16 bits
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* esubm( ai, bi ) subtract significands, bi = bi - ai
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*
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*
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* The result is always normalized and rounded to NI-4 word precision
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* after each arithmetic operation.
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*
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* Exception flags are NOT fully supported.
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*
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* Define USE_INFINITY in mconf.h for support of infinity; otherwise a
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* saturation arithmetic is implemented.
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*
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* Define NANS for support of Not-a-Number items; otherwise the
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* arithmetic will never produce a NaN output, and might be confused
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* by a NaN input.
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* If NaN's are supported, the output of ecmp(a,b) is -2 if
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* either a or b is a NaN. This means asking if(ecmp(a,b) < 0)
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* may not be legitimate. Use if(ecmp(a,b) == -1) for less-than
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* if in doubt.
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* Signaling NaN's are NOT supported; they are treated the same
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* as quiet NaN's.
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*
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* Denormals are always supported here where appropriate (e.g., not
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* for conversion to DEC numbers).
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*/
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/*
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* Revision history:
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*
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* 5 Jan 84 PDP-11 assembly language version
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|
* 6 Dec 86 C language version
|
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|
|
|
* 30 Aug 88 100 digit version, improved rounding
|
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|
|
* 15 May 92 80-bit long double support
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|
|
* 22 Nov 00 Revised to fit into newlib by Jeff Johnston <jjohnstn@redhat.com>
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*
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* Author: S. L. Moshier.
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*
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* Copyright (c) 1984,2000 S.L. Moshier
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*
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* Permission to use, copy, modify, and distribute this software for any
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* purpose without fee is hereby granted, provided that this entire notice
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* is included in all copies of any software which is or includes a copy
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* or modification of this software and in all copies of the supporting
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* documentation for such software.
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*
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* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
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* WARRANTY. IN PARTICULAR, THE AUTHOR MAKES NO REPRESENTATION
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* OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY OF THIS
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* SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
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*
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*/
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#include <stdio.h>
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/* #include "\usr\include\stdio.h" */
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|
/*#include "ehead.h"*/
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/*#include "mconf.h"*/
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/* mconf.h
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*
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|
* Common include file for math routines
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*
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*
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*
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|
* SYNOPSIS:
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*
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|
* #include "mconf.h"
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|
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*
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*
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*
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|
* DESCRIPTION:
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*
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* This file contains definitions for error codes that are
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|
* passed to the common error handling routine mtherr()
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* (which see).
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*
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|
|
* The file also includes a conditional assembly definition
|
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|
|
* for the type of computer arithmetic (IEEE, DEC, Motorola
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|
|
* IEEE, or UNKnown).
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*
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|
|
* For Digital Equipment PDP-11 and VAX computers, certain
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|
|
* IBM systems, and others that use numbers with a 56-bit
|
|
|
|
|
* significand, the symbol DEC should be defined. In this
|
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|
|
* mode, most floating point constants are given as arrays
|
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|
|
|
* of octal integers to eliminate decimal to binary conversion
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|
|
* errors that might be introduced by the compiler.
|
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|
|
*
|
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|
|
* For computers, such as IBM PC, that follow the IEEE
|
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|
|
|
* Standard for Binary Floating Point Arithmetic (ANSI/IEEE
|
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|
|
|
* Std 754-1985), the symbol IBMPC should be defined. These
|
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|
|
|
* numbers have 53-bit significands. In this mode, constants
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|
|
* are provided as arrays of hexadecimal 16 bit integers.
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|
|
*
|
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|
|
* To accommodate other types of computer arithmetic, all
|
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|
|
* constants are also provided in a normal decimal radix
|
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|
|
* which one can hope are correctly converted to a suitable
|
|
|
|
|
* format by the available C language compiler. To invoke
|
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|
|
* this mode, the symbol UNK is defined.
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|
|
|
*
|
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|
|
|
* An important difference among these modes is a predefined
|
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|
|
* set of machine arithmetic constants for each. The numbers
|
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|
|
* MACHEP (the machine roundoff error), MAXNUM (largest number
|
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|
|
* represented), and several other parameters are preset by
|
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|
|
|
* the configuration symbol. Check the file const.c to
|
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|
|
* ensure that these values are correct for your computer.
|
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|
|
*
|
|
|
|
|
* For ANSI C compatibility, define ANSIC equal to 1. Currently
|
|
|
|
|
* this affects only the atan2() function and others that use it.
|
|
|
|
|
*/
|
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|
|
|
|
|
|
|
|
/* Constant definitions for math error conditions
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|
|
|
|
*/
|
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|
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|
|
|
|
#define DOMAIN 1 /* argument domain error */
|
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|
|
|
#define SING 2 /* argument singularity */
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|
|
|
#define OVERFLOW 3 /* overflow range error */
|
|
|
|
|
#define UNDERFLOW 4 /* underflow range error */
|
|
|
|
|
#define TLOSS 5 /* total loss of precision */
|
|
|
|
|
#define PLOSS 6 /* partial loss of precision */
|
|
|
|
|
|
|
|
|
|
#define EDOM 33
|
|
|
|
|
#define ERANGE 34
|
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|
|
|
|
|
|
|
|
typedef struct
|
2017-10-07 00:16:47 +00:00
|
|
|
|
{
|
|
|
|
|
double r;
|
|
|
|
|
double i;
|
|
|
|
|
} cmplx;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Type of computer arithmetic */
|
|
|
|
|
|
|
|
|
|
#ifndef DEC
|
|
|
|
|
#ifdef __IEEE_LITTLE_ENDIAN
|
|
|
|
|
#define IBMPC 1
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#else /* !__IEEE_LITTLE_ENDIAN */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#define MIEEE 1
|
|
|
|
|
#endif /* !__IEEE_LITTLE_ENDIAN */
|
|
|
|
|
#endif /* !DEC */
|
|
|
|
|
|
|
|
|
|
/* Define 1 for ANSI C atan2() function
|
|
|
|
|
* See atan.c and clog.c.
|
|
|
|
|
*/
|
|
|
|
|
#define ANSIC 1
|
|
|
|
|
|
|
|
|
|
/*define VOLATILE volatile*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#define VOLATILE
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#define NANS
|
|
|
|
|
#define USE_INFINITY
|
|
|
|
|
|
|
|
|
|
/* NaN's require infinity support. */
|
|
|
|
|
#ifdef NANS
|
|
|
|
|
#ifndef INFINITY
|
|
|
|
|
#define USE_INFINITY
|
|
|
|
|
#endif
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
/* This handles 64-bit long ints. */
|
|
|
|
|
#define LONGBITS (8 * sizeof(long))
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void eaddm (short unsigned int *x, short unsigned int *y);
|
|
|
|
|
static void esubm (short unsigned int *x, short unsigned int *y);
|
|
|
|
|
static void emdnorm (short unsigned int *s, int lost, int subflg,
|
|
|
|
|
long int exp, int rcntrl, LDPARMS * ldp);
|
|
|
|
|
static int asctoeg (char *ss, short unsigned int *y, int oprec,
|
|
|
|
|
LDPARMS * ldp);
|
|
|
|
|
static void enan (short unsigned int *nan, int size);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#if LDBL_MANT_DIG == 24
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void toe24 (short unsigned int *x, short unsigned int *y);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 53
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void toe53 (short unsigned int *x, short unsigned int *y);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 64
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void toe64 (short unsigned int *a, short unsigned int *b);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void toe113 (short unsigned int *a, short unsigned int *b);
|
|
|
|
|
#endif
|
|
|
|
|
static void eiremain (short unsigned int *den, short unsigned int *num,
|
|
|
|
|
LDPARMS * ldp);
|
|
|
|
|
static int ecmpm (register short unsigned int *a,
|
|
|
|
|
register short unsigned int *b);
|
|
|
|
|
static int edivm (short unsigned int *den, short unsigned int *num,
|
|
|
|
|
LDPARMS * ldp);
|
|
|
|
|
static int emulm (short unsigned int *a, short unsigned int *b,
|
|
|
|
|
LDPARMS * ldp);
|
|
|
|
|
static int eisneg (_CONST short unsigned int *x);
|
|
|
|
|
static int eisinf (_CONST short unsigned int *x);
|
|
|
|
|
static void emovi (_CONST short unsigned int *a, short unsigned int *b);
|
|
|
|
|
static void emovo (short unsigned int *a, short unsigned int *b,
|
|
|
|
|
LDPARMS * ldp);
|
|
|
|
|
static void emovz (register short unsigned int *a,
|
|
|
|
|
register short unsigned int *b);
|
|
|
|
|
static void ecleaz (register short unsigned int *xi);
|
|
|
|
|
static void eadd1 (_CONST short unsigned int *a, _CONST short unsigned int *b,
|
|
|
|
|
short unsigned int *c, int subflg, LDPARMS * ldp);
|
|
|
|
|
static int eisnan (_CONST short unsigned int *x);
|
|
|
|
|
static int eiisnan (short unsigned int *x);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void etodec (), todec (), dectoe ();
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Clear out entire external format number.
|
|
|
|
|
;
|
|
|
|
|
; unsigned short x[];
|
|
|
|
|
; eclear( x );
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eclear (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE; i++)
|
|
|
|
|
*x++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Move external format number from a to b.
|
|
|
|
|
*
|
|
|
|
|
* emov( a, b );
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
emov (register _CONST short unsigned int *a, register short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE; i++)
|
|
|
|
|
*b++ = *a++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Negate external format number
|
|
|
|
|
;
|
|
|
|
|
; unsigned short x[NE];
|
|
|
|
|
; eneg( x );
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eneg (short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (x))
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
x[NE - 1] ^= 0x8000; /* Toggle the sign bit */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Return 1 if external format number is negative,
|
|
|
|
|
* else return zero.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
eisneg (_CONST short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (x))
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (x[NE - 1] & 0x8000)
|
|
|
|
|
return (1);
|
|
|
|
|
else
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Return 1 if external format number has maximum possible exponent,
|
|
|
|
|
* else return zero.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
eisinf (_CONST short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((x[NE - 1] & 0x7fff) == 0x7fff)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (x))
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return (1);
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* Check if e-type number is not a number.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
eisnan (_CONST short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* NaN has maximum exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((x[NE - 1] & 0x7fff) != 0x7fff)
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* ... and non-zero significand field. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE - 1; i++)
|
|
|
|
|
{
|
|
|
|
|
if (*x++ != 0)
|
|
|
|
|
return (1);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Fill entire number, including exponent and significand, with
|
|
|
|
|
; largest possible number. These programs implement a saturation
|
|
|
|
|
; value that is an ordinary, legal number. A special value
|
|
|
|
|
; "infinity" may also be implemented; this would require tests
|
|
|
|
|
; for that value and implementation of special rules for arithmetic
|
|
|
|
|
; operations involving inifinity.
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
einfin (register short unsigned int *x, register LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE - 1; i++)
|
|
|
|
|
*x++ = 0;
|
|
|
|
|
*x |= 32767;
|
|
|
|
|
ldp = ldp;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE - 1; i++)
|
|
|
|
|
*x++ = 0xffff;
|
|
|
|
|
*x |= 32766;
|
|
|
|
|
if (ldp->rndprc < NBITS)
|
|
|
|
|
{
|
|
|
|
|
if (ldp->rndprc == 113)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(x - 9) = 0;
|
|
|
|
|
*(x - 8) = 0;
|
|
|
|
|
}
|
|
|
|
|
if (ldp->rndprc == 64)
|
|
|
|
|
{
|
|
|
|
|
*(x - 5) = 0;
|
|
|
|
|
}
|
|
|
|
|
if (ldp->rndprc == 53)
|
|
|
|
|
{
|
|
|
|
|
*(x - 4) = 0xf800;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
*(x - 4) = 0;
|
|
|
|
|
*(x - 3) = 0;
|
|
|
|
|
*(x - 2) = 0xff00;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* Move in external format number,
|
|
|
|
|
* converting it to internal format.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
emovi (_CONST short unsigned int *a, short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register _CONST unsigned short *p;
|
|
|
|
|
register unsigned short *q;
|
|
|
|
|
int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
q = b;
|
|
|
|
|
p = a + (NE - 1); /* point to last word of external number */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* get the sign bit */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*p & 0x8000)
|
|
|
|
|
*q++ = 0xffff;
|
|
|
|
|
else
|
|
|
|
|
*q++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* get the exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*q = *p--;
|
|
|
|
|
*q++ &= 0x7fff; /* delete the sign bit */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((*(q - 1) & 0x7fff) == 0x7fff)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (a))
|
|
|
|
|
{
|
|
|
|
|
*q++ = 0;
|
|
|
|
|
for (i = 3; i < NI; i++)
|
|
|
|
|
*q++ = *p--;
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#endif
|
|
|
|
|
for (i = 2; i < NI; i++)
|
|
|
|
|
*q++ = 0;
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
/* clear high guard word */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*q++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* move in the significand */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE - 1; i++)
|
|
|
|
|
*q++ = *p--;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* clear low guard word */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*q = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Move internal format number out,
|
|
|
|
|
* converting it to external format.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
emovo (short unsigned int *a, short unsigned int *b, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short *p, *q;
|
|
|
|
|
unsigned short i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = a;
|
|
|
|
|
q = b + (NE - 1); /* point to output exponent */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* combine sign and exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = *p++;
|
|
|
|
|
if (i)
|
|
|
|
|
*q-- = *p++ | 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*q-- = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*(p - 1) == 0x7fff)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eiisnan (a))
|
|
|
|
|
{
|
|
|
|
|
enan (b, NBITS);
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#endif
|
|
|
|
|
einfin (b, ldp);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
/* skip over guard word */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* move the significand */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE - 1; i++)
|
|
|
|
|
*q-- = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Clear out internal format number.
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
ecleaz (register short unsigned int *xi)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NI; i++)
|
|
|
|
|
*xi++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* same, but don't touch the sign. */
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
ecleazs (register short unsigned int *xi)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++xi;
|
|
|
|
|
for (i = 0; i < NI - 1; i++)
|
|
|
|
|
*xi++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Move internal format number from a to b.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
emovz (register short unsigned int *a, register short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NI - 1; i++)
|
|
|
|
|
*b++ = *a++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* clear low guard word */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*b = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* Return nonzero if internal format number is a NaN.
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
eiisnan (short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((x[E] & 0x7fff) == 0x7fff)
|
|
|
|
|
{
|
|
|
|
|
for (i = M + 1; i < NI; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (x[i] != 0)
|
|
|
|
|
return (1);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#if LDBL_MANT_DIG == 64
|
|
|
|
|
|
|
|
|
|
/* Return nonzero if internal format number is infinite. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
2017-04-11 21:13:36 +00:00
|
|
|
|
eiisinf (unsigned short x[])
|
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
|
|
|
|
if (eiisnan (x))
|
|
|
|
|
return (0);
|
|
|
|
|
#endif
|
|
|
|
|
if ((x[E] & 0x7fff) == 0x7fff)
|
|
|
|
|
return (1);
|
|
|
|
|
return (0);
|
|
|
|
|
}
|
|
|
|
|
#endif /* LDBL_MANT_DIG == 64 */
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Compare significands of numbers in internal format.
|
|
|
|
|
; Guard words are included in the comparison.
|
|
|
|
|
;
|
|
|
|
|
; unsigned short a[NI], b[NI];
|
|
|
|
|
; cmpm( a, b );
|
|
|
|
|
;
|
|
|
|
|
; for the significands:
|
|
|
|
|
; returns +1 if a > b
|
|
|
|
|
; 0 if a == b
|
|
|
|
|
; -1 if a < b
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
ecmpm (register short unsigned int *a, register short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
|
|
|
|
|
|
|
|
|
a += M; /* skip up to significand area */
|
|
|
|
|
b += M;
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
if (*a++ != *b++)
|
|
|
|
|
goto difrnt;
|
|
|
|
|
}
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
difrnt:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*(--a) > *(--b))
|
|
|
|
|
return (1);
|
|
|
|
|
else
|
|
|
|
|
return (-1);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand down by 1 bit
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eshdn1 (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short bits;
|
|
|
|
|
int i;
|
|
|
|
|
|
|
|
|
|
x += M; /* point to significand area */
|
|
|
|
|
|
|
|
|
|
bits = 0;
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
if (*x & 1)
|
|
|
|
|
bits |= 1;
|
|
|
|
|
*x >>= 1;
|
|
|
|
|
if (bits & 2)
|
|
|
|
|
*x |= 0x8000;
|
|
|
|
|
bits <<= 1;
|
|
|
|
|
++x;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand up by 1 bit
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eshup1 (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short bits;
|
|
|
|
|
int i;
|
|
|
|
|
|
|
|
|
|
x += NI - 1;
|
|
|
|
|
bits = 0;
|
|
|
|
|
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
if (*x & 0x8000)
|
|
|
|
|
bits |= 1;
|
|
|
|
|
*x <<= 1;
|
|
|
|
|
if (bits & 2)
|
|
|
|
|
*x |= 1;
|
|
|
|
|
bits <<= 1;
|
|
|
|
|
--x;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand down by 8 bits
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eshdn8 (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short newbyt, oldbyt;
|
|
|
|
|
int i;
|
|
|
|
|
|
|
|
|
|
x += M;
|
|
|
|
|
oldbyt = 0;
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
newbyt = *x << 8;
|
|
|
|
|
*x >>= 8;
|
|
|
|
|
*x |= oldbyt;
|
|
|
|
|
oldbyt = newbyt;
|
|
|
|
|
++x;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand up by 8 bits
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eshup8 (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
|
|
|
|
register unsigned short newbyt, oldbyt;
|
|
|
|
|
|
|
|
|
|
x += NI - 1;
|
|
|
|
|
oldbyt = 0;
|
|
|
|
|
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
newbyt = *x >> 8;
|
|
|
|
|
*x <<= 8;
|
|
|
|
|
*x |= oldbyt;
|
|
|
|
|
oldbyt = newbyt;
|
|
|
|
|
--x;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand up by 16 bits
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eshup6 (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
|
|
|
|
register unsigned short *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = x + M;
|
|
|
|
|
x += M + 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = M; i < NI - 1; i++)
|
|
|
|
|
*p++ = *x++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*p = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand down by 16 bits
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eshdn6 (register short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
|
|
|
|
register unsigned short *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
x += NI - 1;
|
|
|
|
|
p = x + 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = M; i < NI - 1; i++)
|
|
|
|
|
*(--p) = *(--x);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--p) = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Add significands
|
|
|
|
|
; x + y replaces y
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eaddm (short unsigned int *x, short unsigned int *y)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned long a;
|
|
|
|
|
int i;
|
|
|
|
|
unsigned int carry;
|
|
|
|
|
|
|
|
|
|
x += NI - 1;
|
|
|
|
|
y += NI - 1;
|
|
|
|
|
carry = 0;
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
a = (unsigned long) (*x) + (unsigned long) (*y) + carry;
|
|
|
|
|
if (a & 0x10000)
|
|
|
|
|
carry = 1;
|
|
|
|
|
else
|
|
|
|
|
carry = 0;
|
|
|
|
|
*y = (unsigned short) a;
|
|
|
|
|
--x;
|
|
|
|
|
--y;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Subtract significands
|
|
|
|
|
; y - x replaces y
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
esubm (short unsigned int *x, short unsigned int *y)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned long a;
|
|
|
|
|
int i;
|
|
|
|
|
unsigned int carry;
|
|
|
|
|
|
|
|
|
|
x += NI - 1;
|
|
|
|
|
y += NI - 1;
|
|
|
|
|
carry = 0;
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
a = (unsigned long) (*y) - (unsigned long) (*x) - carry;
|
|
|
|
|
if (a & 0x10000)
|
|
|
|
|
carry = 1;
|
|
|
|
|
else
|
|
|
|
|
carry = 0;
|
|
|
|
|
*y = (unsigned short) a;
|
|
|
|
|
--x;
|
|
|
|
|
--y;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Divide significands */
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Multiply significand of e-type number b
|
|
|
|
|
by 16-bit quantity a, e-type result to c. */
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
m16m (short unsigned int a, short unsigned int *b, short unsigned int *c)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short *pp;
|
|
|
|
|
register unsigned long carry;
|
|
|
|
|
unsigned short *ps;
|
|
|
|
|
unsigned short p[NI];
|
|
|
|
|
unsigned long aa, m;
|
|
|
|
|
int i;
|
|
|
|
|
|
|
|
|
|
aa = a;
|
|
|
|
|
pp = &p[NI - 2];
|
|
|
|
|
*pp++ = 0;
|
|
|
|
|
*pp = 0;
|
|
|
|
|
ps = &b[NI - 1];
|
|
|
|
|
|
|
|
|
|
for (i = M + 1; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
if (*ps == 0)
|
|
|
|
|
{
|
|
|
|
|
--ps;
|
|
|
|
|
--pp;
|
|
|
|
|
*(pp - 1) = 0;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
m = (unsigned long) aa **ps--;
|
|
|
|
|
carry = (m & 0xffff) + *pp;
|
|
|
|
|
*pp-- = (unsigned short) carry;
|
|
|
|
|
carry = (carry >> 16) + (m >> 16) + *pp;
|
|
|
|
|
*pp = (unsigned short) carry;
|
|
|
|
|
*(pp - 1) = carry >> 16;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
c[i] = p[i];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Divide significands. Neither the numerator nor the denominator
|
|
|
|
|
is permitted to have its high guard word nonzero. */
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
edivm (short unsigned int *den, short unsigned int *num, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i;
|
|
|
|
|
register unsigned short *p;
|
|
|
|
|
unsigned long tnum;
|
|
|
|
|
unsigned short j, tdenm, tquot;
|
|
|
|
|
unsigned short tprod[NI + 1];
|
|
|
|
|
unsigned short *equot = ldp->equot;
|
|
|
|
|
|
|
|
|
|
p = &equot[0];
|
|
|
|
|
*p++ = num[0];
|
|
|
|
|
*p++ = num[1];
|
|
|
|
|
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
*p++ = 0;
|
|
|
|
|
}
|
|
|
|
|
eshdn1 (num);
|
|
|
|
|
tdenm = den[M + 1];
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
/* Find trial quotient digit (the radix is 65536). */
|
|
|
|
|
tnum = (((unsigned long) num[M]) << 16) + num[M + 1];
|
|
|
|
|
|
|
|
|
|
/* Do not execute the divide instruction if it will overflow. */
|
|
|
|
|
if ((tdenm * 0xffffUL) < tnum)
|
|
|
|
|
tquot = 0xffff;
|
|
|
|
|
else
|
|
|
|
|
tquot = tnum / tdenm;
|
|
|
|
|
|
|
|
|
|
/* Prove that the divide worked. */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/*
|
|
|
|
|
tcheck = (unsigned long )tquot * tdenm;
|
|
|
|
|
if( tnum - tcheck > tdenm )
|
|
|
|
|
tquot = 0xffff;
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
/* Multiply denominator by trial quotient digit. */
|
|
|
|
|
m16m (tquot, den, tprod);
|
|
|
|
|
/* The quotient digit may have been overestimated. */
|
|
|
|
|
if (ecmpm (tprod, num) > 0)
|
|
|
|
|
{
|
|
|
|
|
tquot -= 1;
|
|
|
|
|
esubm (den, tprod);
|
|
|
|
|
if (ecmpm (tprod, num) > 0)
|
|
|
|
|
{
|
|
|
|
|
tquot -= 1;
|
|
|
|
|
esubm (den, tprod);
|
|
|
|
|
}
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/*
|
|
|
|
|
if( ecmpm( tprod, num ) > 0 )
|
|
|
|
|
{
|
|
|
|
|
eshow( "tprod", tprod );
|
|
|
|
|
eshow( "num ", num );
|
|
|
|
|
printf( "tnum = %08lx, tden = %04x, tquot = %04x\n",
|
|
|
|
|
tnum, den[M+1], tquot );
|
|
|
|
|
}
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
esubm (tprod, num);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/*
|
|
|
|
|
if( ecmpm( num, den ) >= 0 )
|
|
|
|
|
{
|
|
|
|
|
eshow( "num ", num );
|
|
|
|
|
eshow( "den ", den );
|
|
|
|
|
printf( "tnum = %08lx, tden = %04x, tquot = %04x\n",
|
|
|
|
|
tnum, den[M+1], tquot );
|
|
|
|
|
}
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
equot[i] = tquot;
|
|
|
|
|
eshup6 (num);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* test for nonzero remainder after roundoff bit */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = &num[M];
|
|
|
|
|
j = 0;
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
j |= *p++;
|
|
|
|
|
}
|
|
|
|
|
if (j)
|
|
|
|
|
j = 1;
|
|
|
|
|
|
|
|
|
|
for (i = 0; i < NI; i++)
|
|
|
|
|
num[i] = equot[i];
|
|
|
|
|
|
|
|
|
|
return ((int) j);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Multiply significands */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
emulm (short unsigned int *a, short unsigned int *b, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short *p, *q;
|
|
|
|
|
unsigned short pprod[NI];
|
|
|
|
|
unsigned short j;
|
|
|
|
|
int i;
|
|
|
|
|
unsigned short *equot = ldp->equot;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
equot[0] = b[0];
|
|
|
|
|
equot[1] = b[1];
|
|
|
|
|
for (i = M; i < NI; i++)
|
|
|
|
|
equot[i] = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
j = 0;
|
|
|
|
|
p = &a[NI - 1];
|
|
|
|
|
q = &equot[NI - 1];
|
|
|
|
|
for (i = M + 1; i < NI; i++)
|
|
|
|
|
{
|
|
|
|
|
if (*p == 0)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
--p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
m16m (*p--, b, pprod);
|
|
|
|
|
eaddm (pprod, equot);
|
|
|
|
|
}
|
|
|
|
|
j |= *q;
|
|
|
|
|
eshdn6 (equot);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NI; i++)
|
|
|
|
|
b[i] = equot[i];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* return flag for lost nonzero bits */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return ((int) j);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
static void eshow(str, x)
|
|
|
|
|
char *str;
|
|
|
|
|
unsigned short *x;
|
|
|
|
|
{
|
|
|
|
|
int i;
|
|
|
|
|
|
|
|
|
|
printf( "%s ", str );
|
|
|
|
|
for( i=0; i<NI; i++ )
|
|
|
|
|
printf( "%04x ", *x++ );
|
|
|
|
|
printf( "\n" );
|
|
|
|
|
}
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
* Normalize and round off.
|
|
|
|
|
*
|
|
|
|
|
* The internal format number to be rounded is "s".
|
|
|
|
|
* Input "lost" indicates whether the number is exact.
|
|
|
|
|
* This is the so-called sticky bit.
|
|
|
|
|
*
|
|
|
|
|
* Input "subflg" indicates whether the number was obtained
|
|
|
|
|
* by a subtraction operation. In that case if lost is nonzero
|
|
|
|
|
* then the number is slightly smaller than indicated.
|
|
|
|
|
*
|
|
|
|
|
* Input "exp" is the biased exponent, which may be negative.
|
|
|
|
|
* the exponent field of "s" is ignored but is replaced by
|
|
|
|
|
* "exp" as adjusted by normalization and rounding.
|
|
|
|
|
*
|
|
|
|
|
* Input "rcntrl" is the rounding control.
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
emdnorm (short unsigned int *s, int lost, int subflg, long int exp,
|
|
|
|
|
int rcntrl, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i, j;
|
|
|
|
|
unsigned short r;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Normalize */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
j = enormlz (s);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* a blank significand could mean either zero or infinity. */
|
|
|
|
|
#ifndef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (j > NBITS)
|
|
|
|
|
{
|
|
|
|
|
ecleazs (s);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
exp -= j;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifndef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (exp >= 32767L)
|
|
|
|
|
goto overf;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((j > NBITS) && (exp < 32767L))
|
|
|
|
|
{
|
|
|
|
|
ecleazs (s);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
if (exp < 0L)
|
|
|
|
|
{
|
|
|
|
|
if (exp > (long) (-NBITS - 1))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
j = (int) exp;
|
|
|
|
|
i = eshift (s, j);
|
|
|
|
|
if (i)
|
|
|
|
|
lost = 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
else
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
ecleazs (s);
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Round off, unless told not to by rcntrl. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (rcntrl == 0)
|
|
|
|
|
goto mdfin;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Set up rounding parameters if the control register changed. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ldp->rndprc != ldp->rlast)
|
|
|
|
|
{
|
|
|
|
|
ecleaz (ldp->rbit);
|
|
|
|
|
switch (ldp->rndprc)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
default:
|
|
|
|
|
case NBITS:
|
|
|
|
|
ldp->rw = NI - 1; /* low guard word */
|
|
|
|
|
ldp->rmsk = 0xffff;
|
|
|
|
|
ldp->rmbit = 0x8000;
|
|
|
|
|
ldp->rebit = 1;
|
|
|
|
|
ldp->re = ldp->rw - 1;
|
|
|
|
|
break;
|
|
|
|
|
case 113:
|
|
|
|
|
ldp->rw = 10;
|
|
|
|
|
ldp->rmsk = 0x7fff;
|
|
|
|
|
ldp->rmbit = 0x4000;
|
|
|
|
|
ldp->rebit = 0x8000;
|
|
|
|
|
ldp->re = ldp->rw;
|
|
|
|
|
break;
|
|
|
|
|
case 64:
|
|
|
|
|
ldp->rw = 7;
|
|
|
|
|
ldp->rmsk = 0xffff;
|
|
|
|
|
ldp->rmbit = 0x8000;
|
|
|
|
|
ldp->rebit = 1;
|
|
|
|
|
ldp->re = ldp->rw - 1;
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* For DEC arithmetic */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 56:
|
|
|
|
|
ldp->rw = 6;
|
|
|
|
|
ldp->rmsk = 0xff;
|
|
|
|
|
ldp->rmbit = 0x80;
|
|
|
|
|
ldp->rebit = 0x100;
|
|
|
|
|
ldp->re = ldp->rw;
|
|
|
|
|
break;
|
|
|
|
|
case 53:
|
|
|
|
|
ldp->rw = 6;
|
|
|
|
|
ldp->rmsk = 0x7ff;
|
|
|
|
|
ldp->rmbit = 0x0400;
|
|
|
|
|
ldp->rebit = 0x800;
|
|
|
|
|
ldp->re = ldp->rw;
|
|
|
|
|
break;
|
|
|
|
|
case 24:
|
|
|
|
|
ldp->rw = 4;
|
|
|
|
|
ldp->rmsk = 0xff;
|
|
|
|
|
ldp->rmbit = 0x80;
|
|
|
|
|
ldp->rebit = 0x100;
|
|
|
|
|
ldp->re = ldp->rw;
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
ldp->rbit[ldp->re] = ldp->rebit;
|
|
|
|
|
ldp->rlast = ldp->rndprc;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Shift down 1 temporarily if the data structure has an implied
|
|
|
|
|
* most significant bit and the number is denormal.
|
|
|
|
|
* For rndprc = 64 or NBITS, there is no implied bit.
|
|
|
|
|
* But Intel long double denormals lose one bit of significance even so.
|
|
|
|
|
*/
|
|
|
|
|
#if IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((exp <= 0) && (ldp->rndprc != NBITS))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((exp <= 0) && (ldp->rndprc != 64) && (ldp->rndprc != NBITS))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
{
|
|
|
|
|
lost |= s[NI - 1] & 1;
|
|
|
|
|
eshdn1 (s);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Clear out all bits below the rounding bit,
|
|
|
|
|
* remembering in r if any were nonzero.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
r = s[ldp->rw] & ldp->rmsk;
|
|
|
|
|
if (ldp->rndprc < NBITS)
|
|
|
|
|
{
|
|
|
|
|
i = ldp->rw + 1;
|
|
|
|
|
while (i < NI)
|
|
|
|
|
{
|
|
|
|
|
if (s[i])
|
|
|
|
|
r |= 1;
|
|
|
|
|
s[i] = 0;
|
|
|
|
|
++i;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
s[ldp->rw] &= ~ldp->rmsk;
|
|
|
|
|
if ((r & ldp->rmbit) != 0)
|
|
|
|
|
{
|
|
|
|
|
if (r == ldp->rmbit)
|
|
|
|
|
{
|
|
|
|
|
if (lost == 0)
|
|
|
|
|
{ /* round to even */
|
|
|
|
|
if ((s[ldp->re] & ldp->rebit) == 0)
|
|
|
|
|
goto mddone;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
if (subflg != 0)
|
|
|
|
|
goto mddone;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
eaddm (ldp->rbit, s);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
mddone:
|
|
|
|
|
#if IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((exp <= 0) && (ldp->rndprc != NBITS))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((exp <= 0) && (ldp->rndprc != 64) && (ldp->rndprc != NBITS))
|
|
|
|
|
#endif
|
|
|
|
|
{
|
|
|
|
|
eshup1 (s);
|
|
|
|
|
}
|
|
|
|
|
if (s[2] != 0)
|
|
|
|
|
{ /* overflow on roundoff */
|
|
|
|
|
eshdn1 (s);
|
|
|
|
|
exp += 1;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
mdfin:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
s[NI - 1] = 0;
|
|
|
|
|
if (exp >= 32767L)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifndef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
overf:
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
s[1] = 32767;
|
|
|
|
|
for (i = 2; i < NI - 1; i++)
|
|
|
|
|
s[i] = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
s[1] = 32766;
|
|
|
|
|
s[2] = 0;
|
|
|
|
|
for (i = M + 1; i < NI - 1; i++)
|
|
|
|
|
s[i] = 0xffff;
|
|
|
|
|
s[NI - 1] = 0;
|
|
|
|
|
if ((ldp->rndprc < 64) || (ldp->rndprc == 113))
|
|
|
|
|
{
|
|
|
|
|
s[ldp->rw] &= ~ldp->rmsk;
|
|
|
|
|
if (ldp->rndprc == 24)
|
|
|
|
|
{
|
|
|
|
|
s[5] = 0;
|
|
|
|
|
s[6] = 0;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (exp < 0)
|
|
|
|
|
s[1] = 0;
|
|
|
|
|
else
|
|
|
|
|
s[1] = (unsigned short) exp;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Subtract external format numbers.
|
|
|
|
|
;
|
|
|
|
|
; unsigned short a[NE], b[NE], c[NE];
|
|
|
|
|
; LDPARMS *ldp;
|
|
|
|
|
; esub( a, b, c, ldp ); c = b - a
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
esub (_CONST short unsigned int *a, _CONST short unsigned int *b,
|
|
|
|
|
short unsigned int *c, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (a))
|
|
|
|
|
{
|
|
|
|
|
emov (a, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (eisnan (b))
|
|
|
|
|
{
|
|
|
|
|
emov (b, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Infinity minus infinity is a NaN.
|
|
|
|
|
* Test for subtracting infinities of the same sign.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisinf (a) && eisinf (b) && ((eisneg (a) ^ eisneg (b)) == 0))
|
|
|
|
|
{
|
|
|
|
|
mtherr ("esub", DOMAIN);
|
|
|
|
|
enan (c, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
eadd1 (a, b, c, 1, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eadd1 (_CONST short unsigned int *a, _CONST short unsigned int *b,
|
|
|
|
|
short unsigned int *c, int subflg, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short ai[NI], bi[NI], ci[NI];
|
|
|
|
|
int i, lost, j, k;
|
|
|
|
|
long lt, lta, ltb;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisinf (a))
|
|
|
|
|
{
|
|
|
|
|
emov (a, c);
|
|
|
|
|
if (subflg)
|
|
|
|
|
eneg (c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (eisinf (b))
|
|
|
|
|
{
|
|
|
|
|
emov (b, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
emovi (a, ai);
|
|
|
|
|
emovi (b, bi);
|
|
|
|
|
if (subflg)
|
|
|
|
|
ai[0] = ~ai[0];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* compare exponents */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lta = ai[E];
|
|
|
|
|
ltb = bi[E];
|
|
|
|
|
lt = lta - ltb;
|
|
|
|
|
if (lt > 0L)
|
|
|
|
|
{ /* put the larger number in bi */
|
|
|
|
|
emovz (bi, ci);
|
|
|
|
|
emovz (ai, bi);
|
|
|
|
|
emovz (ci, ai);
|
|
|
|
|
ltb = bi[E];
|
|
|
|
|
lt = -lt;
|
|
|
|
|
}
|
|
|
|
|
lost = 0;
|
|
|
|
|
if (lt != 0L)
|
|
|
|
|
{
|
|
|
|
|
if (lt < (long) (-NBITS - 1))
|
|
|
|
|
goto done; /* answer same as larger addend */
|
|
|
|
|
k = (int) lt;
|
|
|
|
|
lost = eshift (ai, k); /* shift the smaller number down */
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* exponents were the same, so must compare significands */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = ecmpm (ai, bi);
|
|
|
|
|
if (i == 0)
|
|
|
|
|
{ /* the numbers are identical in magnitude */
|
|
|
|
|
/* if different signs, result is zero */
|
|
|
|
|
if (ai[0] != bi[0])
|
|
|
|
|
{
|
|
|
|
|
eclear (c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
/* if same sign, result is double */
|
|
|
|
|
/* double denomalized tiny number */
|
|
|
|
|
if ((bi[E] == 0) && ((bi[3] & 0x8000) == 0))
|
|
|
|
|
{
|
|
|
|
|
eshup1 (bi);
|
|
|
|
|
goto done;
|
|
|
|
|
}
|
|
|
|
|
/* add 1 to exponent unless both are zero! */
|
|
|
|
|
for (j = 1; j < NI - 1; j++)
|
|
|
|
|
{
|
|
|
|
|
if (bi[j] != 0)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* This could overflow, but let emovo take care of that. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
ltb += 1;
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
bi[E] = (unsigned short) ltb;
|
|
|
|
|
goto done;
|
|
|
|
|
}
|
|
|
|
|
if (i > 0)
|
|
|
|
|
{ /* put the larger number in bi */
|
|
|
|
|
emovz (bi, ci);
|
|
|
|
|
emovz (ai, bi);
|
|
|
|
|
emovz (ci, ai);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
if (ai[0] == bi[0])
|
|
|
|
|
{
|
|
|
|
|
eaddm (ai, bi);
|
|
|
|
|
subflg = 0;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
esubm (ai, bi);
|
|
|
|
|
subflg = 1;
|
|
|
|
|
}
|
|
|
|
|
emdnorm (bi, lost, subflg, ltb, 64, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
done:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
emovo (bi, c, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Divide.
|
|
|
|
|
;
|
|
|
|
|
; unsigned short a[NE], b[NE], c[NE];
|
|
|
|
|
; LDPARMS *ldp;
|
|
|
|
|
; ediv( a, b, c, ldp ); c = b / a
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
ediv (_CONST short unsigned int *a, _CONST short unsigned int *b,
|
|
|
|
|
short unsigned int *c, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short ai[NI], bi[NI];
|
|
|
|
|
int i;
|
|
|
|
|
long lt, lta, ltb;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
|
|
|
|
/* Return any NaN input. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (a))
|
|
|
|
|
{
|
|
|
|
|
emov (a, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (eisnan (b))
|
|
|
|
|
{
|
|
|
|
|
emov (b, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Zero over zero, or infinity over infinity, is a NaN. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (((ecmp (a, ezero) == 0) && (ecmp (b, ezero) == 0))
|
|
|
|
|
|| (eisinf (a) && eisinf (b)))
|
|
|
|
|
{
|
|
|
|
|
mtherr ("ediv", DOMAIN);
|
|
|
|
|
enan (c, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
/* Infinity over anything else is infinity. */
|
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisinf (b))
|
|
|
|
|
{
|
|
|
|
|
if (eisneg (a) ^ eisneg (b))
|
|
|
|
|
*(c + (NE - 1)) = 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*(c + (NE - 1)) = 0;
|
|
|
|
|
einfin (c, ldp);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (eisinf (a))
|
|
|
|
|
{
|
|
|
|
|
eclear (c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
emovi (a, ai);
|
|
|
|
|
emovi (b, bi);
|
|
|
|
|
lta = ai[E];
|
|
|
|
|
ltb = bi[E];
|
|
|
|
|
if (bi[E] == 0)
|
|
|
|
|
{ /* See if numerator is zero. */
|
|
|
|
|
for (i = 1; i < NI - 1; i++)
|
|
|
|
|
{
|
|
|
|
|
if (bi[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
ltb -= enormlz (bi);
|
|
|
|
|
goto dnzro1;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
eclear (c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
dnzro1:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ai[E] == 0)
|
|
|
|
|
{ /* possible divide by zero */
|
|
|
|
|
for (i = 1; i < NI - 1; i++)
|
|
|
|
|
{
|
|
|
|
|
if (ai[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
lta -= enormlz (ai);
|
|
|
|
|
goto dnzro2;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
if (ai[0] == bi[0])
|
|
|
|
|
*(c + (NE - 1)) = 0;
|
|
|
|
|
else
|
|
|
|
|
*(c + (NE - 1)) = 0x8000;
|
|
|
|
|
einfin (c, ldp);
|
|
|
|
|
mtherr ("ediv", SING);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
dnzro2:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = edivm (ai, bi, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* calculate exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lt = ltb - lta + EXONE;
|
|
|
|
|
emdnorm (bi, i, 0, lt, 64, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* set the sign */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ai[0] == bi[0])
|
|
|
|
|
bi[0] = 0;
|
|
|
|
|
else
|
|
|
|
|
bi[0] = 0Xffff;
|
|
|
|
|
emovo (bi, c, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Multiply.
|
|
|
|
|
;
|
|
|
|
|
; unsigned short a[NE], b[NE], c[NE];
|
|
|
|
|
; LDPARMS *ldp
|
|
|
|
|
; emul( a, b, c, ldp ); c = b * a
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
emul (_CONST short unsigned int *a, _CONST short unsigned int *b,
|
|
|
|
|
short unsigned int *c, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short ai[NI], bi[NI];
|
|
|
|
|
int i, j;
|
|
|
|
|
long lt, lta, ltb;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
|
|
|
|
/* NaN times anything is the same NaN. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (a))
|
|
|
|
|
{
|
|
|
|
|
emov (a, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (eisnan (b))
|
|
|
|
|
{
|
|
|
|
|
emov (b, c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Zero times infinity is a NaN. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((eisinf (a) && (ecmp (b, ezero) == 0))
|
|
|
|
|
|| (eisinf (b) && (ecmp (a, ezero) == 0)))
|
|
|
|
|
{
|
|
|
|
|
mtherr ("emul", DOMAIN);
|
|
|
|
|
enan (c, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
/* Infinity times anything else is infinity. */
|
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisinf (a) || eisinf (b))
|
|
|
|
|
{
|
|
|
|
|
if (eisneg (a) ^ eisneg (b))
|
|
|
|
|
*(c + (NE - 1)) = 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*(c + (NE - 1)) = 0;
|
|
|
|
|
einfin (c, ldp);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
emovi (a, ai);
|
|
|
|
|
emovi (b, bi);
|
|
|
|
|
lta = ai[E];
|
|
|
|
|
ltb = bi[E];
|
|
|
|
|
if (ai[E] == 0)
|
|
|
|
|
{
|
|
|
|
|
for (i = 1; i < NI - 1; i++)
|
|
|
|
|
{
|
|
|
|
|
if (ai[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
lta -= enormlz (ai);
|
|
|
|
|
goto mnzer1;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
eclear (c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
mnzer1:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (bi[E] == 0)
|
|
|
|
|
{
|
|
|
|
|
for (i = 1; i < NI - 1; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (bi[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
ltb -= enormlz (bi);
|
|
|
|
|
goto mnzer2;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
eclear (c);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
mnzer2:
|
|
|
|
|
|
|
|
|
|
/* Multiply significands */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
j = emulm (ai, bi, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* calculate exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lt = lta + ltb - (EXONE - 1);
|
|
|
|
|
emdnorm (bi, j, 0, lt, 64, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* calculate sign of product */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ai[0] == bi[0])
|
|
|
|
|
bi[0] = 0;
|
|
|
|
|
else
|
|
|
|
|
bi[0] = 0xffff;
|
|
|
|
|
emovo (bi, c, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#if LDBL_MANT_DIG > 64
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
e113toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short r;
|
|
|
|
|
unsigned short *e, *p;
|
|
|
|
|
unsigned short yy[NI];
|
|
|
|
|
int denorm, i;
|
|
|
|
|
|
|
|
|
|
e = pe;
|
|
|
|
|
denorm = 0;
|
|
|
|
|
ecleaz (yy);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e += 7;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
r = *e;
|
|
|
|
|
yy[0] = 0;
|
|
|
|
|
if (r & 0x8000)
|
|
|
|
|
yy[0] = 0xffff;
|
|
|
|
|
r &= 0x7fff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (r == 0x7fff)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 7; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (pe[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#else /* !IBMPC */
|
|
|
|
|
for (i = 1; i < 8; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (pe[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#endif /* !IBMPC */
|
|
|
|
|
#endif /* NANS */
|
|
|
|
|
eclear (y);
|
|
|
|
|
einfin (y, ldp);
|
|
|
|
|
if (*e & 0x8000)
|
|
|
|
|
eneg (y);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif /* INFINITY */
|
|
|
|
|
yy[E] = r;
|
|
|
|
|
p = &yy[M + 1];
|
|
|
|
|
#ifdef IBMPC
|
|
|
|
|
for (i = 0; i < 7; i++)
|
|
|
|
|
*p++ = *(--e);
|
|
|
|
|
#else /* IBMPC */
|
|
|
|
|
++e;
|
|
|
|
|
for (i = 0; i < 7; i++)
|
|
|
|
|
*p++ = *e++;
|
|
|
|
|
#endif /* IBMPC */
|
|
|
|
|
/* If denormal, remove the implied bit; else shift down 1. */
|
|
|
|
|
if (r == 0)
|
|
|
|
|
{
|
|
|
|
|
yy[M] = 0;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
yy[M] = 1;
|
|
|
|
|
eshift (yy, -1);
|
|
|
|
|
}
|
|
|
|
|
emovo (yy, y, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* move out internal format to ieee long double */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
toe113 (short unsigned int *a, short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short *p, *q;
|
|
|
|
|
unsigned short i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eiisnan (a))
|
|
|
|
|
{
|
|
|
|
|
enan (b, 113);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = a;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
q = b;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
q = b + 7; /* point to output exponent */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
/* If not denormal, delete the implied bit. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (a[E] != 0)
|
|
|
|
|
{
|
|
|
|
|
eshup1 (a);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* combine sign and exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (i)
|
|
|
|
|
*q++ = *p++ | 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*q++ = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (i)
|
|
|
|
|
*q-- = *p++ | 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*q-- = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
/* skip over guard word */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* move the significand */
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 7; i++)
|
|
|
|
|
*q++ = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 7; i++)
|
|
|
|
|
*q-- = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
}
|
|
|
|
|
#endif /* LDBL_MANT_DIG > 64 */
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#if LDBL_MANT_DIG == 64
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
e64toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short yy[NI];
|
|
|
|
|
unsigned short *p, *q, *e;
|
|
|
|
|
int i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e = pe;
|
|
|
|
|
p = yy;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < NE - 5; i++)
|
|
|
|
|
*p++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 5; i++)
|
|
|
|
|
*p++ = *e++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 5; i++)
|
|
|
|
|
*p++ = *e++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = &yy[0] + (NE - 1);
|
|
|
|
|
*p-- = *e++;
|
|
|
|
|
++e; /* MIEEE skips over 2nd short */
|
|
|
|
|
for (i = 0; i < 4; i++)
|
|
|
|
|
*p-- = *e++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
#ifdef IBMPC
|
|
|
|
|
/* For Intel long double, shift denormal significand up 1
|
|
|
|
|
-- but only if the top significand bit is zero. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((yy[NE - 1] & 0x7fff) == 0 && (yy[NE - 2] & 0x8000) == 0)
|
|
|
|
|
{
|
|
|
|
|
unsigned short temp[NI + 1];
|
|
|
|
|
emovi (yy, temp);
|
|
|
|
|
eshup1 (temp);
|
|
|
|
|
emovo (temp, y, ldp);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef USE_INFINITY
|
|
|
|
|
/* Point to the exponent field. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = &yy[NE - 1];
|
|
|
|
|
if ((*p & 0x7fff) == 0x7fff)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 4; i++)
|
|
|
|
|
{
|
|
|
|
|
if ((i != 3 && pe[i] != 0)
|
|
|
|
|
/* Check for Intel long double infinity pattern. */
|
|
|
|
|
|| (i == 3 && pe[i] != 0x8000))
|
|
|
|
|
{
|
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 2; i <= 5; i++)
|
|
|
|
|
{
|
|
|
|
|
if (pe[i] != 0)
|
|
|
|
|
{
|
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#endif /* NANS */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
eclear (y);
|
|
|
|
|
einfin (y, ldp);
|
|
|
|
|
if (*p & 0x8000)
|
|
|
|
|
eneg (y);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* USE_INFINITY */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = yy;
|
|
|
|
|
q = y;
|
|
|
|
|
for (i = 0; i < NE; i++)
|
|
|
|
|
*q++ = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* move out internal format to ieee long double */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
toe64 (short unsigned int *a, short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short *p, *q;
|
|
|
|
|
unsigned short i;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eiisnan (a))
|
|
|
|
|
{
|
|
|
|
|
enan (b, 64);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef IBMPC
|
|
|
|
|
/* Shift Intel denormal significand down 1. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (a[E] == 0)
|
|
|
|
|
eshdn1 (a);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = a;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
q = b;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
q = b + 4; /* point to output exponent */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* NOTE: Intel data type is 96 bits wide, clear the last word here. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(q + 1) = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
/* combine sign and exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (i)
|
|
|
|
|
*q++ = *p++ | 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*q++ = *p++;
|
|
|
|
|
*q++ = 0; /* leave 2nd short blank */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (i)
|
|
|
|
|
*q-- = *p++ | 0x8000;
|
|
|
|
|
else
|
|
|
|
|
*q-- = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
/* skip over guard word */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* move the significand */
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 4; i++)
|
|
|
|
|
*q++ = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
|
|
|
|
#ifdef USE_INFINITY
|
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eiisinf (a))
|
|
|
|
|
{
|
|
|
|
|
/* Intel long double infinity. */
|
|
|
|
|
*q-- = 0x8000;
|
|
|
|
|
*q-- = 0;
|
|
|
|
|
*q-- = 0;
|
|
|
|
|
*q = 0;
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* IBMPC */
|
|
|
|
|
#endif /* USE_INFINITY */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 0; i < 4; i++)
|
|
|
|
|
*q-- = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#endif /* LDBL_MANT_DIG == 64 */
|
|
|
|
|
|
|
|
|
|
#if LDBL_MANT_DIG == 53
|
|
|
|
|
/*
|
|
|
|
|
; Convert IEEE double precision to e type
|
|
|
|
|
; double d;
|
|
|
|
|
; unsigned short x[N+2];
|
|
|
|
|
; e53toe( &d, x );
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
e53toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
#ifdef DEC
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
dectoe (pe, y); /* see etodec.c */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#else
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short r;
|
|
|
|
|
register unsigned short *p, *e;
|
|
|
|
|
unsigned short yy[NI];
|
|
|
|
|
int denorm, k;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e = pe;
|
|
|
|
|
denorm = 0; /* flag if denormalized number */
|
|
|
|
|
ecleaz (yy);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e += 3;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e += 3;
|
|
|
|
|
#endif
|
|
|
|
|
r = *e;
|
|
|
|
|
yy[0] = 0;
|
|
|
|
|
if (r & 0x8000)
|
|
|
|
|
yy[0] = 0xffff;
|
|
|
|
|
yy[M] = (r & 0x0f) | 0x10;
|
|
|
|
|
r &= ~0x800f; /* strip sign and 4 significand bits */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (r == 0x7ff0)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (((pe[3] & 0xf) != 0) || (pe[2] != 0)
|
|
|
|
|
|| (pe[1] != 0) || (pe[0] != 0))
|
|
|
|
|
{
|
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#else /* !IBMPC */
|
|
|
|
|
if (((pe[0] & 0xf) != 0) || (pe[1] != 0)
|
|
|
|
|
|| (pe[2] != 0) || (pe[3] != 0))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#endif /* !IBMPC */
|
|
|
|
|
#endif /* NANS */
|
|
|
|
|
eclear (y);
|
|
|
|
|
einfin (y, ldp);
|
|
|
|
|
if (yy[0])
|
|
|
|
|
eneg (y);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
r >>= 4;
|
|
|
|
|
/* If zero exponent, then the significand is denormalized.
|
|
|
|
|
* So, take back the understood high significand bit. */
|
|
|
|
|
if (r == 0)
|
|
|
|
|
{
|
|
|
|
|
denorm = 1;
|
|
|
|
|
yy[M] &= ~0x10;
|
|
|
|
|
}
|
|
|
|
|
r += EXONE - 01777;
|
|
|
|
|
yy[E] = r;
|
|
|
|
|
p = &yy[M + 1];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*p++ = *(--e);
|
|
|
|
|
*p++ = *(--e);
|
|
|
|
|
*p++ = *(--e);
|
|
|
|
|
#else /* !IBMPC */
|
|
|
|
|
++e;
|
|
|
|
|
*p++ = *e++;
|
|
|
|
|
*p++ = *e++;
|
|
|
|
|
*p++ = *e++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* !IBMPC */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
(void) eshift (yy, -5);
|
|
|
|
|
if (denorm)
|
|
|
|
|
{ /* if zero exponent, then normalize the significand */
|
|
|
|
|
if ((k = enormlz (yy)) > NBITS)
|
|
|
|
|
ecleazs (yy);
|
|
|
|
|
else
|
|
|
|
|
yy[E] -= (unsigned short) (k - 1);
|
|
|
|
|
}
|
|
|
|
|
emovo (yy, y, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* !DEC */
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; e type to IEEE double precision
|
|
|
|
|
; double d;
|
|
|
|
|
; unsigned short x[NE];
|
|
|
|
|
; etoe53( x, &d );
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
#ifdef DEC
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
etoe53 (x, e)
|
|
|
|
|
unsigned short *x, *e;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
etodec (x, e); /* see etodec.c */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
toe53 (x, y)
|
|
|
|
|
unsigned short *x, *y;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
todec (x, y);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#else
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
toe53 (short unsigned int *x, short unsigned int *y)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short i;
|
|
|
|
|
unsigned short *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eiisnan (x))
|
|
|
|
|
{
|
|
|
|
|
enan (y, 53);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = &x[0];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
y += 3;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
y += 3;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*y = 0; /* output high order */
|
|
|
|
|
if (*p++)
|
|
|
|
|
*y = 0x8000; /* output sign bit */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = *p++;
|
|
|
|
|
if (i >= (unsigned int) 2047)
|
|
|
|
|
{ /* Saturate at largest number less than infinity. */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*y |= 0x7ff0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = 0;
|
|
|
|
|
*(--y) = 0;
|
|
|
|
|
*(--y) = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else /* !IBMPC */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++y;
|
|
|
|
|
*y++ = 0;
|
|
|
|
|
*y++ = 0;
|
|
|
|
|
*y++ = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* IBMPC */
|
|
|
|
|
#else /* !USE_INFINITY */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*y |= (unsigned short) 0x7fef;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = 0xffff;
|
|
|
|
|
*(--y) = 0xffff;
|
|
|
|
|
*(--y) = 0xffff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else /* !IBMPC */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++y;
|
|
|
|
|
*y++ = 0xffff;
|
|
|
|
|
*y++ = 0xffff;
|
|
|
|
|
*y++ = 0xffff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#endif /* !USE_INFINITY */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (i == 0)
|
|
|
|
|
{
|
|
|
|
|
(void) eshift (x, 4);
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
i <<= 4;
|
|
|
|
|
(void) eshift (x, 5);
|
|
|
|
|
}
|
|
|
|
|
i |= *p++ & (unsigned short) 0x0f; /* *p = xi[M] */
|
|
|
|
|
*y |= (unsigned short) i; /* high order output already has sign bit set */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = *p++;
|
|
|
|
|
*(--y) = *p++;
|
|
|
|
|
*(--y) = *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else /* !IBMPC */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++y;
|
|
|
|
|
*y++ = *p++;
|
|
|
|
|
*y++ = *p++;
|
|
|
|
|
*y++ = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* !IBMPC */
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#endif /* not DEC */
|
|
|
|
|
#endif /* LDBL_MANT_DIG == 53 */
|
|
|
|
|
|
|
|
|
|
#if LDBL_MANT_DIG == 24
|
|
|
|
|
/*
|
|
|
|
|
; Convert IEEE single precision to e type
|
|
|
|
|
; float d;
|
|
|
|
|
; unsigned short x[N+2];
|
|
|
|
|
; dtox( &d, x );
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
void
|
|
|
|
|
e24toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short r;
|
|
|
|
|
register unsigned short *p, *e;
|
|
|
|
|
unsigned short yy[NI];
|
|
|
|
|
int denorm, k;
|
|
|
|
|
|
|
|
|
|
e = pe;
|
|
|
|
|
denorm = 0; /* flag if denormalized number */
|
|
|
|
|
ecleaz (yy);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e += 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e += 1;
|
|
|
|
|
#endif
|
|
|
|
|
r = *e;
|
|
|
|
|
yy[0] = 0;
|
|
|
|
|
if (r & 0x8000)
|
|
|
|
|
yy[0] = 0xffff;
|
|
|
|
|
yy[M] = (r & 0x7f) | 0200;
|
|
|
|
|
r &= ~0x807f; /* strip sign and 7 significand bits */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (r == 0x7f80)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (((pe[0] & 0x7f) != 0) || (pe[1] != 0))
|
|
|
|
|
{
|
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#else /* !MIEEE */
|
|
|
|
|
if (((pe[1] & 0x7f) != 0) || (pe[0] != 0))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
enan (y, NBITS);
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#endif /* !MIEEE */
|
|
|
|
|
#endif /* NANS */
|
|
|
|
|
eclear (y);
|
|
|
|
|
einfin (y, ldp);
|
|
|
|
|
if (yy[0])
|
|
|
|
|
eneg (y);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
r >>= 7;
|
|
|
|
|
/* If zero exponent, then the significand is denormalized.
|
|
|
|
|
* So, take back the understood high significand bit. */
|
|
|
|
|
if (r == 0)
|
|
|
|
|
{
|
|
|
|
|
denorm = 1;
|
|
|
|
|
yy[M] &= ~0200;
|
|
|
|
|
}
|
|
|
|
|
r += EXONE - 0177;
|
|
|
|
|
yy[E] = r;
|
|
|
|
|
p = &yy[M + 1];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*p++ = *(--e);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*p++ = *(--e);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++e;
|
|
|
|
|
*p++ = *e++;
|
|
|
|
|
#endif
|
|
|
|
|
(void) eshift (yy, -8);
|
|
|
|
|
if (denorm)
|
|
|
|
|
{ /* if zero exponent, then normalize the significand */
|
|
|
|
|
if ((k = enormlz (yy)) > NBITS)
|
|
|
|
|
ecleazs (yy);
|
|
|
|
|
else
|
|
|
|
|
yy[E] -= (unsigned short) (k - 1);
|
|
|
|
|
}
|
|
|
|
|
emovo (yy, y, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
toe24 (short unsigned int *x, short unsigned int *y)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short i;
|
|
|
|
|
unsigned short *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eiisnan (x))
|
|
|
|
|
{
|
|
|
|
|
enan (y, 24);
|
|
|
|
|
return;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = &x[0];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
y += 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
y += 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*y = 0; /* output high order */
|
|
|
|
|
if (*p++)
|
|
|
|
|
*y = 0x8000; /* output sign bit */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = *p++;
|
|
|
|
|
if (i >= 255)
|
|
|
|
|
{ /* Saturate at largest number less than infinity. */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef USE_INFINITY
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*y |= (unsigned short) 0x7f80;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++y;
|
|
|
|
|
*y = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#else /* !USE_INFINITY */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*y |= (unsigned short) 0x7f7f;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = 0xffff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = 0xffff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++y;
|
|
|
|
|
*y = 0xffff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#endif /* !USE_INFINITY */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
if (i == 0)
|
|
|
|
|
{
|
|
|
|
|
(void) eshift (x, 7);
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
i <<= 7;
|
|
|
|
|
(void) eshift (x, 8);
|
|
|
|
|
}
|
|
|
|
|
i |= *p++ & (unsigned short) 0x7f; /* *p = xi[M] */
|
|
|
|
|
*y |= i; /* high order output already has sign bit set */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef IBMPC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*(--y) = *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++y;
|
|
|
|
|
*y = *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
}
|
|
|
|
|
#endif /* LDBL_MANT_DIG == 24 */
|
|
|
|
|
|
|
|
|
|
/* Compare two e type numbers.
|
|
|
|
|
*
|
|
|
|
|
* unsigned short a[NE], b[NE];
|
|
|
|
|
* ecmp( a, b );
|
|
|
|
|
*
|
|
|
|
|
* returns +1 if a > b
|
|
|
|
|
* 0 if a == b
|
|
|
|
|
* -1 if a < b
|
|
|
|
|
* -2 if either a or b is a NaN.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
ecmp (_CONST short unsigned int *a, _CONST short unsigned int *b)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short ai[NI], bi[NI];
|
|
|
|
|
register unsigned short *p, *q;
|
|
|
|
|
register int i;
|
|
|
|
|
int msign;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (a) || eisnan (b))
|
|
|
|
|
return (-2);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
emovi (a, ai);
|
|
|
|
|
p = ai;
|
|
|
|
|
emovi (b, bi);
|
|
|
|
|
q = bi;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*p != *q)
|
|
|
|
|
{ /* the signs are different */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* -0 equals + 0 */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (i = 1; i < NI - 1; i++)
|
|
|
|
|
{
|
|
|
|
|
if (ai[i] != 0)
|
|
|
|
|
goto nzro;
|
|
|
|
|
if (bi[i] != 0)
|
|
|
|
|
goto nzro;
|
|
|
|
|
}
|
|
|
|
|
return (0);
|
|
|
|
|
nzro:
|
|
|
|
|
if (*p == 0)
|
|
|
|
|
return (1);
|
|
|
|
|
else
|
|
|
|
|
return (-1);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* both are the same sign */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*p == 0)
|
|
|
|
|
msign = 1;
|
|
|
|
|
else
|
|
|
|
|
msign = -1;
|
|
|
|
|
i = NI - 1;
|
|
|
|
|
do
|
|
|
|
|
{
|
|
|
|
|
if (*p++ != *q++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
goto diff;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
while (--i > 0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return (0); /* equality */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
diff:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*(--p) > *(--q))
|
|
|
|
|
return (msign); /* p is bigger */
|
|
|
|
|
else
|
|
|
|
|
return (-msign); /* p is littler */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; Shift significand
|
|
|
|
|
;
|
|
|
|
|
; Shifts significand area up or down by the number of bits
|
|
|
|
|
; given by the variable sc.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
eshift (short unsigned int *x, int sc)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short lost;
|
|
|
|
|
unsigned short *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (sc == 0)
|
|
|
|
|
return (0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lost = 0;
|
|
|
|
|
p = x + NI - 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (sc < 0)
|
|
|
|
|
{
|
|
|
|
|
sc = -sc;
|
|
|
|
|
while (sc >= 16)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lost |= *p; /* remember lost bits */
|
|
|
|
|
eshdn6 (x);
|
|
|
|
|
sc -= 16;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (sc >= 8)
|
|
|
|
|
{
|
|
|
|
|
lost |= *p & 0xff;
|
|
|
|
|
eshdn8 (x);
|
|
|
|
|
sc -= 8;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (sc > 0)
|
|
|
|
|
{
|
|
|
|
|
lost |= *p & 1;
|
|
|
|
|
eshdn1 (x);
|
|
|
|
|
sc -= 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
while (sc >= 16)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
eshup6 (x);
|
|
|
|
|
sc -= 16;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (sc >= 8)
|
|
|
|
|
{
|
|
|
|
|
eshup8 (x);
|
|
|
|
|
sc -= 8;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (sc > 0)
|
|
|
|
|
{
|
|
|
|
|
eshup1 (x);
|
|
|
|
|
sc -= 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
if (lost)
|
|
|
|
|
lost = 1;
|
|
|
|
|
return ((int) lost);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; normalize
|
|
|
|
|
;
|
|
|
|
|
; Shift normalizes the significand area pointed to by argument
|
|
|
|
|
; shift count (up = positive) is returned.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static int
|
|
|
|
|
enormlz (short unsigned int *x)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short *p;
|
|
|
|
|
int sc;
|
|
|
|
|
|
|
|
|
|
sc = 0;
|
|
|
|
|
p = &x[M];
|
|
|
|
|
if (*p != 0)
|
|
|
|
|
goto normdn;
|
|
|
|
|
++p;
|
|
|
|
|
if (*p & 0x8000)
|
|
|
|
|
return (0); /* already normalized */
|
|
|
|
|
while (*p == 0)
|
|
|
|
|
{
|
|
|
|
|
eshup6 (x);
|
|
|
|
|
sc += 16;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* With guard word, there are NBITS+16 bits available.
|
|
|
|
|
* return true if all are zero.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (sc > NBITS)
|
|
|
|
|
return (sc);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* see if high byte is zero */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while ((*p & 0xff00) == 0)
|
|
|
|
|
{
|
|
|
|
|
eshup8 (x);
|
|
|
|
|
sc += 8;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* now shift 1 bit at a time */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while ((*p & 0x8000) == 0)
|
|
|
|
|
{
|
|
|
|
|
eshup1 (x);
|
|
|
|
|
sc += 1;
|
|
|
|
|
if (sc > (NBITS + 16))
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
mtherr ("enormlz", UNDERFLOW);
|
|
|
|
|
return (sc);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
return (sc);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Normalize by shifting down out of the high guard word
|
|
|
|
|
of the significand */
|
|
|
|
|
normdn:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*p & 0xff00)
|
|
|
|
|
{
|
|
|
|
|
eshdn8 (x);
|
|
|
|
|
sc -= 8;
|
|
|
|
|
}
|
|
|
|
|
while (*p != 0)
|
|
|
|
|
{
|
|
|
|
|
eshdn1 (x);
|
|
|
|
|
sc -= 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (sc < -NBITS)
|
|
|
|
|
{
|
|
|
|
|
mtherr ("enormlz", OVERFLOW);
|
|
|
|
|
return (sc);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
|
|
|
|
return (sc);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Convert e type number to decimal format ASCII string.
|
|
|
|
|
* The constants are for 64 bit precision.
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
#define NTEN 12
|
|
|
|
|
#define MAXP 4096
|
|
|
|
|
|
|
|
|
|
#if NE == 10
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static _CONST unsigned short etens[NTEN + 1][NE] = {
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{0x6576, 0x4a92, 0x804a, 0x153f,
|
|
|
|
|
0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */
|
|
|
|
|
{0x6a32, 0xce52, 0x329a, 0x28ce,
|
|
|
|
|
0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */
|
|
|
|
|
{0x526c, 0x50ce, 0xf18b, 0x3d28,
|
|
|
|
|
0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,},
|
|
|
|
|
{0x9c66, 0x58f8, 0xbc50, 0x5c54,
|
|
|
|
|
0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,},
|
|
|
|
|
{0x851e, 0xeab7, 0x98fe, 0x901b,
|
|
|
|
|
0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,},
|
|
|
|
|
{0x0235, 0x0137, 0x36b1, 0x336c,
|
|
|
|
|
0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,},
|
|
|
|
|
{0x50f8, 0x25fb, 0xc76b, 0x6b71,
|
|
|
|
|
0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000,
|
|
|
|
|
0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000,
|
|
|
|
|
0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000,
|
|
|
|
|
0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000,
|
|
|
|
|
0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000,
|
|
|
|
|
0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000,
|
|
|
|
|
0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */
|
|
|
|
|
};
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static _CONST unsigned short emtens[NTEN + 1][NE] = {
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{0x2030, 0xcffc, 0xa1c3, 0x8123,
|
|
|
|
|
0x2de3, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */
|
|
|
|
|
{0x8264, 0xd2cb, 0xf2ea, 0x12d4,
|
|
|
|
|
0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */
|
|
|
|
|
{0xf53f, 0xf698, 0x6bd3, 0x0158,
|
|
|
|
|
0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,},
|
|
|
|
|
{0xe731, 0x04d4, 0xe3f2, 0xd332,
|
|
|
|
|
0x7132, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,},
|
|
|
|
|
{0xa23e, 0x5308, 0xfefb, 0x1155,
|
|
|
|
|
0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,},
|
|
|
|
|
{0xe26d, 0xdbde, 0xd05d, 0xb3f6,
|
|
|
|
|
0xac7c, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,},
|
|
|
|
|
{0x2a20, 0x6224, 0x47b3, 0x98d7,
|
|
|
|
|
0x3f23, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,},
|
|
|
|
|
{0x0b5b, 0x4af2, 0xa581, 0x18ed,
|
|
|
|
|
0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,},
|
|
|
|
|
{0xbf71, 0xa9b3, 0x7989, 0xbe68,
|
|
|
|
|
0x4c2e, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,},
|
|
|
|
|
{0x3d4d, 0x7c3d, 0x36ba, 0x0d2b,
|
|
|
|
|
0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,},
|
|
|
|
|
{0xc155, 0xa4a8, 0x404e, 0x6113,
|
|
|
|
|
0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,},
|
|
|
|
|
{0xd70a, 0x70a3, 0x0a3d, 0xa3d7,
|
|
|
|
|
0x3d70, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,},
|
|
|
|
|
{0xcccd, 0xcccc, 0xcccc, 0xcccc,
|
|
|
|
|
0xcccc, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */
|
|
|
|
|
};
|
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static _CONST unsigned short etens[NTEN + 1][NE] = {
|
|
|
|
|
{0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */
|
|
|
|
|
{0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */
|
|
|
|
|
{0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,},
|
|
|
|
|
{0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,},
|
|
|
|
|
{0xddbc, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,},
|
|
|
|
|
{0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,},
|
|
|
|
|
{0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,},
|
|
|
|
|
{0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,},
|
|
|
|
|
{0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,},
|
|
|
|
|
{0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
};
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static _CONST unsigned short emtens[NTEN + 1][NE] = {
|
|
|
|
|
{0x2de4, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */
|
|
|
|
|
{0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */
|
|
|
|
|
{0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,},
|
|
|
|
|
{0x7133, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,},
|
|
|
|
|
{0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,},
|
|
|
|
|
{0xac7d, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,},
|
|
|
|
|
{0x3f24, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,},
|
|
|
|
|
{0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,},
|
|
|
|
|
{0x4c2f, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,},
|
|
|
|
|
{0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,},
|
|
|
|
|
{0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,},
|
|
|
|
|
{0x3d71, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,},
|
|
|
|
|
{0xcccd, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
};
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* ASCII string outputs for unix */
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#if 0
|
2017-10-07 00:16:47 +00:00
|
|
|
|
void
|
|
|
|
|
_IO_ldtostr (x, string, ndigs, flags, fmt)
|
|
|
|
|
long double *x;
|
|
|
|
|
char *string;
|
|
|
|
|
int ndigs;
|
|
|
|
|
int flags;
|
|
|
|
|
char fmt;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short w[NI];
|
|
|
|
|
char *t, *u;
|
|
|
|
|
LDPARMS rnd;
|
|
|
|
|
LDPARMS *ldp = &rnd;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
rnd.rlast = -1;
|
|
|
|
|
rnd.rndprc = NBITS;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (sizeof (long double) == 16)
|
|
|
|
|
e113toe ((unsigned short *) x, w, ldp);
|
|
|
|
|
else
|
|
|
|
|
e64toe ((unsigned short *) x, w, ldp);
|
|
|
|
|
|
|
|
|
|
etoasc (w, string, ndigs, -1, ldp);
|
|
|
|
|
if (ndigs == 0 && flags == 0)
|
|
|
|
|
{
|
|
|
|
|
/* Delete the decimal point unless alternate format. */
|
|
|
|
|
t = string;
|
|
|
|
|
while (*t != '.')
|
|
|
|
|
++t;
|
|
|
|
|
u = t + 1;
|
|
|
|
|
while (*t != '\0')
|
|
|
|
|
*t++ = *u++;
|
|
|
|
|
}
|
|
|
|
|
if (*string == ' ')
|
|
|
|
|
{
|
|
|
|
|
t = string;
|
|
|
|
|
u = t + 1;
|
|
|
|
|
while (*t != '\0')
|
|
|
|
|
*t++ = *u++;
|
|
|
|
|
}
|
|
|
|
|
if (fmt == 'E')
|
|
|
|
|
{
|
|
|
|
|
t = string;
|
|
|
|
|
while (*t != 'e')
|
|
|
|
|
++t;
|
|
|
|
|
*t = 'E';
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
/* This routine will not return more than NDEC+1 digits. */
|
|
|
|
|
|
|
|
|
|
char *
|
2017-10-07 00:16:47 +00:00
|
|
|
|
_ldtoa_r (struct _reent *ptr, long double d, int mode, int ndigits,
|
|
|
|
|
int *decpt, int *sign, char **rve)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short e[NI];
|
|
|
|
|
char *s, *p;
|
|
|
|
|
int i, j, k;
|
|
|
|
|
int orig_ndigits;
|
|
|
|
|
LDPARMS rnd;
|
|
|
|
|
LDPARMS *ldp = &rnd;
|
|
|
|
|
char *outstr;
|
|
|
|
|
char outbuf[NDEC + MAX_EXP_DIGITS + 10];
|
|
|
|
|
union uconv du;
|
|
|
|
|
du.d = d;
|
|
|
|
|
|
|
|
|
|
orig_ndigits = ndigits;
|
|
|
|
|
rnd.rlast = -1;
|
|
|
|
|
rnd.rndprc = NBITS;
|
|
|
|
|
|
|
|
|
|
_REENT_CHECK_MP (ptr);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* reentrancy addition to use mprec storage pool */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (_REENT_MP_RESULT (ptr))
|
|
|
|
|
{
|
|
|
|
|
_REENT_MP_RESULT (ptr)->_k = _REENT_MP_RESULT_K (ptr);
|
|
|
|
|
_REENT_MP_RESULT (ptr)->_maxwds = 1 << _REENT_MP_RESULT_K (ptr);
|
|
|
|
|
Bfree (ptr, _REENT_MP_RESULT (ptr));
|
|
|
|
|
_REENT_MP_RESULT (ptr) = 0;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
#if LDBL_MANT_DIG == 24
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e24toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 53
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e53toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 64
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e64toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e113toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisneg (e))
|
|
|
|
|
*sign = 1;
|
|
|
|
|
else
|
|
|
|
|
*sign = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Mode 3 is "f" format. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (mode != 3)
|
|
|
|
|
ndigits -= 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Mode 0 is for %.999 format, which is supposed to give a
|
|
|
|
|
minimum length string that will convert back to the same binary value.
|
|
|
|
|
For now, just ask for 20 digits which is enough but sometimes too many. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (mode == 0)
|
|
|
|
|
ndigits = 20;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* This sanity limit must agree with the corresponding one in etoasc, to
|
|
|
|
|
keep straight the returned value of outexpon. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ndigits > NDEC)
|
|
|
|
|
ndigits = NDEC;
|
|
|
|
|
|
|
|
|
|
etoasc (e, outbuf, ndigits, mode, ldp);
|
|
|
|
|
s = outbuf;
|
|
|
|
|
if (eisinf (e) || eisnan (e))
|
|
|
|
|
{
|
|
|
|
|
*decpt = 9999;
|
|
|
|
|
goto stripspaces;
|
|
|
|
|
}
|
|
|
|
|
*decpt = ldp->outexpon + 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Transform the string returned by etoasc into what the caller wants. */
|
|
|
|
|
|
|
|
|
|
/* Look for decimal point and delete it from the string. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
s = outbuf;
|
|
|
|
|
while (*s != '\0')
|
|
|
|
|
{
|
|
|
|
|
if (*s == '.')
|
|
|
|
|
goto yesdecpt;
|
|
|
|
|
++s;
|
|
|
|
|
}
|
|
|
|
|
goto nodecpt;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
yesdecpt:
|
|
|
|
|
|
|
|
|
|
/* Delete the decimal point. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (*s != '\0')
|
|
|
|
|
{
|
|
|
|
|
*s = *(s + 1);
|
|
|
|
|
++s;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
nodecpt:
|
|
|
|
|
|
|
|
|
|
/* Back up over the exponent field. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (*s != 'E' && s > outbuf)
|
|
|
|
|
--s;
|
|
|
|
|
*s = '\0';
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
stripspaces:
|
|
|
|
|
|
|
|
|
|
/* Strip leading spaces and sign. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = outbuf;
|
|
|
|
|
while (*p == ' ' || *p == '-')
|
|
|
|
|
++p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Find new end of string. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
s = outbuf;
|
|
|
|
|
while ((*s++ = *p++) != '\0')
|
|
|
|
|
;
|
|
|
|
|
--s;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Strip trailing zeros. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (mode == 2)
|
|
|
|
|
k = 1;
|
|
|
|
|
else if (ndigits > ldp->outexpon)
|
|
|
|
|
k = ndigits;
|
|
|
|
|
else
|
|
|
|
|
k = ldp->outexpon;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while (*(s - 1) == '0' && ((s - outbuf) > k))
|
|
|
|
|
*(--s) = '\0';
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* In f format, flush small off-scale values to zero.
|
|
|
|
|
Rounding has been taken care of by etoasc. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (mode == 3 && ((ndigits + ldp->outexpon) < 0))
|
|
|
|
|
{
|
|
|
|
|
s = outbuf;
|
|
|
|
|
*s = '\0';
|
|
|
|
|
*decpt = 0;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* reentrancy addition to use mprec storage pool */
|
|
|
|
|
/* we want to have enough space to hold the formatted result */
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (mode == 3) /* f format, account for sign + dec digits + decpt + frac */
|
|
|
|
|
i = *decpt + orig_ndigits + 3;
|
|
|
|
|
else /* account for sign + max precision digs + E + exp sign + exponent */
|
|
|
|
|
i = orig_ndigits + MAX_EXP_DIGITS + 4;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
j = sizeof (__ULong);
|
|
|
|
|
for (_REENT_MP_RESULT_K (ptr) = 0;
|
|
|
|
|
sizeof (_Bigint) - sizeof (__ULong) + j <= i; j <<= 1)
|
|
|
|
|
_REENT_MP_RESULT_K (ptr)++;
|
|
|
|
|
_REENT_MP_RESULT (ptr) = Balloc (ptr, _REENT_MP_RESULT_K (ptr));
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Copy from internal temporary buffer to permanent buffer. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
outstr = (char *) _REENT_MP_RESULT (ptr);
|
|
|
|
|
strcpy (outstr, outbuf);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (rve)
|
|
|
|
|
*rve = outstr + (s - outbuf);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return outstr;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* Routine used to tell if long double is NaN or Infinity or regular number.
|
|
|
|
|
Returns: 0 = regular number
|
|
|
|
|
1 = Nan
|
|
|
|
|
2 = Infinity
|
|
|
|
|
*/
|
|
|
|
|
int
|
|
|
|
|
_ldcheck (long double *d)
|
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short e[NI];
|
|
|
|
|
LDPARMS rnd;
|
|
|
|
|
LDPARMS *ldp = &rnd;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
union uconv du;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
rnd.rlast = -1;
|
|
|
|
|
rnd.rndprc = NBITS;
|
|
|
|
|
du.d = *d;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#if LDBL_MANT_DIG == 24
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e24toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 53
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e53toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 64
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e64toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e113toe (&du.pe, e, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((e[NE - 1] & 0x7fff) == 0x7fff)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (e))
|
|
|
|
|
return (1);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
return (2);
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
return (0);
|
|
|
|
|
} /* _ldcheck */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
etoasc (short unsigned int *x, char *string, int ndigits, int outformat,
|
|
|
|
|
LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
long digit;
|
|
|
|
|
unsigned short y[NI], t[NI], u[NI], w[NI];
|
|
|
|
|
_CONST unsigned short *p, *r, *ten;
|
|
|
|
|
unsigned short sign;
|
|
|
|
|
int i, j, k, expon, rndsav, ndigs;
|
|
|
|
|
char *s, *ss;
|
|
|
|
|
unsigned short m;
|
|
|
|
|
unsigned short *equot = ldp->equot;
|
|
|
|
|
|
|
|
|
|
ndigs = ndigits;
|
|
|
|
|
rndsav = ldp->rndprc;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (eisnan (x))
|
|
|
|
|
{
|
|
|
|
|
sprintf (string, " NaN ");
|
|
|
|
|
expon = 9999;
|
|
|
|
|
goto bxit;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
ldp->rndprc = NBITS; /* set to full precision */
|
|
|
|
|
emov (x, y); /* retain external format */
|
|
|
|
|
if (y[NE - 1] & 0x8000)
|
|
|
|
|
{
|
|
|
|
|
sign = 0xffff;
|
|
|
|
|
y[NE - 1] &= 0x7fff;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
sign = 0;
|
|
|
|
|
}
|
|
|
|
|
expon = 0;
|
|
|
|
|
ten = &etens[NTEN][0];
|
|
|
|
|
emov (eone, t);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Test for zero exponent */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (y[NE - 1] == 0)
|
|
|
|
|
{
|
|
|
|
|
for (k = 0; k < NE - 1; k++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (y[k] != 0)
|
|
|
|
|
goto tnzro; /* denormalized number */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
goto isone; /* legal all zeros */
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
tnzro:
|
|
|
|
|
|
|
|
|
|
/* Test for infinity.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (y[NE - 1] == 0x7fff)
|
|
|
|
|
{
|
|
|
|
|
if (sign)
|
|
|
|
|
sprintf (string, " -Infinity ");
|
|
|
|
|
else
|
|
|
|
|
sprintf (string, " Infinity ");
|
|
|
|
|
expon = 9999;
|
|
|
|
|
goto bxit;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Test for exponent nonzero but significand denormalized.
|
|
|
|
|
* This is an error condition.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((y[NE - 1] != 0) && ((y[NE - 2] & 0x8000) == 0))
|
|
|
|
|
{
|
|
|
|
|
mtherr ("etoasc", DOMAIN);
|
|
|
|
|
sprintf (string, "NaN");
|
|
|
|
|
expon = 9999;
|
|
|
|
|
goto bxit;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Compare to 1.0 */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
i = ecmp (eone, y);
|
|
|
|
|
if (i == 0)
|
|
|
|
|
goto isone;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (i < 0)
|
|
|
|
|
{ /* Number is greater than 1 */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Convert significand to an integer and strip trailing decimal zeros. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
emov (y, u);
|
|
|
|
|
u[NE - 1] = EXONE + NBITS - 1;
|
|
|
|
|
|
|
|
|
|
p = &etens[NTEN - 4][0];
|
|
|
|
|
m = 16;
|
|
|
|
|
do
|
|
|
|
|
{
|
|
|
|
|
ediv (p, u, t, ldp);
|
|
|
|
|
efloor (t, w, ldp);
|
|
|
|
|
for (j = 0; j < NE - 1; j++)
|
|
|
|
|
{
|
|
|
|
|
if (t[j] != w[j])
|
|
|
|
|
goto noint;
|
|
|
|
|
}
|
|
|
|
|
emov (t, u);
|
|
|
|
|
expon += (int) m;
|
|
|
|
|
noint:
|
|
|
|
|
p += NE;
|
|
|
|
|
m >>= 1;
|
|
|
|
|
}
|
|
|
|
|
while (m != 0);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Rescale from integer significand */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
u[NE - 1] += y[NE - 1] - (unsigned int) (EXONE + NBITS - 1);
|
|
|
|
|
emov (u, y);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Find power of 10 */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
emov (eone, t);
|
|
|
|
|
m = MAXP;
|
|
|
|
|
p = &etens[0][0];
|
|
|
|
|
while (ecmp (ten, u) <= 0)
|
|
|
|
|
{
|
|
|
|
|
if (ecmp (p, u) <= 0)
|
|
|
|
|
{
|
|
|
|
|
ediv (p, u, u, ldp);
|
|
|
|
|
emul (p, t, t, ldp);
|
|
|
|
|
expon += (int) m;
|
|
|
|
|
}
|
|
|
|
|
m >>= 1;
|
|
|
|
|
if (m == 0)
|
|
|
|
|
break;
|
|
|
|
|
p += NE;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{ /* Number is less than 1.0 */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Pad significand with trailing decimal zeros. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (y[NE - 1] == 0)
|
|
|
|
|
{
|
|
|
|
|
while ((y[NE - 2] & 0x8000) == 0)
|
|
|
|
|
{
|
|
|
|
|
emul (ten, y, y, ldp);
|
|
|
|
|
expon -= 1;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
emovi (y, w);
|
|
|
|
|
for (i = 0; i < NDEC + 1; i++)
|
|
|
|
|
{
|
|
|
|
|
if ((w[NI - 1] & 0x7) != 0)
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* multiply by 10 */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
emovz (w, u);
|
|
|
|
|
eshdn1 (u);
|
|
|
|
|
eshdn1 (u);
|
|
|
|
|
eaddm (w, u);
|
|
|
|
|
u[1] += 3;
|
|
|
|
|
while (u[2] != 0)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
eshdn1 (u);
|
|
|
|
|
u[1] += 1;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (u[NI - 1] != 0)
|
|
|
|
|
break;
|
|
|
|
|
if (eone[NE - 1] <= u[1])
|
|
|
|
|
break;
|
|
|
|
|
emovz (u, w);
|
|
|
|
|
expon -= 1;
|
|
|
|
|
}
|
|
|
|
|
emovo (w, y, ldp);
|
|
|
|
|
}
|
|
|
|
|
k = -MAXP;
|
|
|
|
|
p = &emtens[0][0];
|
|
|
|
|
r = &etens[0][0];
|
|
|
|
|
emov (y, w);
|
|
|
|
|
emov (eone, t);
|
|
|
|
|
while (ecmp (eone, w) > 0)
|
|
|
|
|
{
|
|
|
|
|
if (ecmp (p, w) >= 0)
|
|
|
|
|
{
|
|
|
|
|
emul (r, w, w, ldp);
|
|
|
|
|
emul (r, t, t, ldp);
|
|
|
|
|
expon += k;
|
|
|
|
|
}
|
|
|
|
|
k /= 2;
|
|
|
|
|
if (k == 0)
|
|
|
|
|
break;
|
|
|
|
|
p += NE;
|
|
|
|
|
r += NE;
|
|
|
|
|
}
|
|
|
|
|
ediv (t, eone, t, ldp);
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
isone:
|
|
|
|
|
/* Find the first (leading) digit. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
emovi (t, w);
|
|
|
|
|
emovz (w, t);
|
|
|
|
|
emovi (y, w);
|
|
|
|
|
emovz (w, y);
|
|
|
|
|
eiremain (t, y, ldp);
|
|
|
|
|
digit = equot[NI - 1];
|
|
|
|
|
while ((digit == 0) && (ecmp (y, ezero) != 0))
|
|
|
|
|
{
|
|
|
|
|
eshup1 (y);
|
|
|
|
|
emovz (y, u);
|
|
|
|
|
eshup1 (u);
|
|
|
|
|
eshup1 (u);
|
|
|
|
|
eaddm (u, y);
|
|
|
|
|
eiremain (t, y, ldp);
|
|
|
|
|
digit = equot[NI - 1];
|
|
|
|
|
expon -= 1;
|
|
|
|
|
}
|
|
|
|
|
s = string;
|
|
|
|
|
if (sign)
|
|
|
|
|
*s++ = '-';
|
|
|
|
|
else
|
|
|
|
|
*s++ = ' ';
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Examine number of digits requested by caller. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (outformat == 3)
|
|
|
|
|
ndigs += expon;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/*
|
|
|
|
|
else if( ndigs < 0 )
|
|
|
|
|
ndigs = 0;
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ndigs > NDEC)
|
|
|
|
|
ndigs = NDEC;
|
|
|
|
|
if (digit == 10)
|
|
|
|
|
{
|
|
|
|
|
*s++ = '1';
|
|
|
|
|
*s++ = '.';
|
|
|
|
|
if (ndigs > 0)
|
|
|
|
|
{
|
|
|
|
|
*s++ = '0';
|
|
|
|
|
ndigs -= 1;
|
|
|
|
|
}
|
|
|
|
|
expon += 1;
|
|
|
|
|
if (ndigs < 0)
|
|
|
|
|
{
|
|
|
|
|
ss = s;
|
|
|
|
|
goto doexp;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
*s++ = (char) digit + '0';
|
|
|
|
|
*s++ = '.';
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Generate digits after the decimal point. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
for (k = 0; k <= ndigs; k++)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* multiply current number by 10, without normalizing */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
eshup1 (y);
|
|
|
|
|
emovz (y, u);
|
|
|
|
|
eshup1 (u);
|
|
|
|
|
eshup1 (u);
|
|
|
|
|
eaddm (u, y);
|
|
|
|
|
eiremain (t, y, ldp);
|
|
|
|
|
*s++ = (char) equot[NI - 1] + '0';
|
|
|
|
|
}
|
|
|
|
|
digit = equot[NI - 1];
|
|
|
|
|
--s;
|
|
|
|
|
ss = s;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* round off the ASCII string */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (digit > 4)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Test for critical rounding case in ASCII output. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (digit == 5)
|
|
|
|
|
{
|
|
|
|
|
emovo (y, t, ldp);
|
|
|
|
|
if (ecmp (t, ezero) != 0)
|
|
|
|
|
goto roun; /* round to nearest */
|
|
|
|
|
if (ndigs < 0 || (*(s - 1 - (*(s - 1) == '.')) & 1) == 0)
|
|
|
|
|
goto doexp; /* round to even */
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Round up and propagate carry-outs */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
roun:
|
|
|
|
|
--s;
|
|
|
|
|
k = *s & 0x7f;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Carry out to most significant digit? */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (ndigs < 0)
|
|
|
|
|
{
|
|
|
|
|
/* This will print like "1E-6". */
|
|
|
|
|
*s = '1';
|
|
|
|
|
expon += 1;
|
|
|
|
|
goto doexp;
|
|
|
|
|
}
|
|
|
|
|
else if (k == '.')
|
|
|
|
|
{
|
|
|
|
|
--s;
|
|
|
|
|
k = *s;
|
|
|
|
|
k += 1;
|
|
|
|
|
*s = (char) k;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Most significant digit carries to 10? */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (k > '9')
|
|
|
|
|
{
|
|
|
|
|
expon += 1;
|
|
|
|
|
*s = '1';
|
|
|
|
|
}
|
|
|
|
|
goto doexp;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Round up and carry out from less significant digits */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
k += 1;
|
|
|
|
|
*s = (char) k;
|
|
|
|
|
if (k > '9')
|
|
|
|
|
{
|
|
|
|
|
*s = '0';
|
|
|
|
|
goto roun;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
doexp:
|
|
|
|
|
#ifdef __GO32__
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (expon >= 0)
|
|
|
|
|
sprintf (ss, "e+%02d", expon);
|
|
|
|
|
else
|
|
|
|
|
sprintf (ss, "e-%02d", -expon);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
sprintf (ss, "E%d", expon);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
bxit:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
ldp->rndprc = rndsav;
|
|
|
|
|
ldp->outexpon = expon;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#if 0 /* Broken, unusable implementation of strtold */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
; ASCTOQ
|
|
|
|
|
; ASCTOQ.MAC LATEST REV: 11 JAN 84
|
|
|
|
|
; SLM, 3 JAN 78
|
|
|
|
|
;
|
|
|
|
|
; Convert ASCII string to quadruple precision floating point
|
|
|
|
|
;
|
|
|
|
|
; Numeric input is free field decimal number
|
|
|
|
|
; with max of 15 digits with or without
|
|
|
|
|
; decimal point entered as ASCII from teletype.
|
|
|
|
|
; Entering E after the number followed by a second
|
|
|
|
|
; number causes the second number to be interpreted
|
|
|
|
|
; as a power of 10 to be multiplied by the first number
|
|
|
|
|
; (i.e., "scientific" notation).
|
|
|
|
|
;
|
|
|
|
|
; Usage:
|
|
|
|
|
; asctoq( string, q );
|
|
|
|
|
*/
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
long double
|
|
|
|
|
_strtold (char *s, char **se)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
|
|
|
|
union uconv x;
|
|
|
|
|
LDPARMS rnd;
|
|
|
|
|
LDPARMS *ldp = &rnd;
|
|
|
|
|
int lenldstr;
|
|
|
|
|
|
|
|
|
|
rnd.rlast = -1;
|
|
|
|
|
rnd.rndprc = NBITS;
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lenldstr = asctoeg (s, &x.pe, LDBL_MANT_DIG, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
if (se)
|
|
|
|
|
*se = s + lenldstr;
|
|
|
|
|
return x.d;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#define REASONABLE_LEN 200
|
|
|
|
|
|
|
|
|
|
static int
|
2017-10-07 00:16:47 +00:00
|
|
|
|
asctoeg (char *ss, short unsigned int *y, int oprec, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
unsigned short yy[NI], xt[NI], tt[NI];
|
|
|
|
|
int esign, decflg, sgnflg, nexp, exp, prec, lost;
|
|
|
|
|
int k, trail, c, rndsav;
|
|
|
|
|
long lexp;
|
|
|
|
|
unsigned short nsign;
|
|
|
|
|
_CONST unsigned short *p;
|
|
|
|
|
char *sp, *s, *lstr;
|
|
|
|
|
int lenldstr;
|
|
|
|
|
int mflag = 0;
|
|
|
|
|
char tmpstr[REASONABLE_LEN];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Copy the input string. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
c = strlen (ss) + 2;
|
|
|
|
|
if (c <= REASONABLE_LEN)
|
|
|
|
|
lstr = tmpstr;
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
lstr = (char *) calloc (c, 1);
|
|
|
|
|
mflag = 1;
|
|
|
|
|
}
|
|
|
|
|
s = ss;
|
|
|
|
|
lenldstr = 0;
|
|
|
|
|
while (*s == ' ') /* skip leading spaces */
|
|
|
|
|
{
|
|
|
|
|
++s;
|
|
|
|
|
++lenldstr;
|
|
|
|
|
}
|
|
|
|
|
sp = lstr;
|
|
|
|
|
for (k = 0; k < c; k++)
|
|
|
|
|
{
|
|
|
|
|
if ((*sp++ = *s++) == '\0')
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
*sp = '\0';
|
|
|
|
|
s = lstr;
|
|
|
|
|
|
|
|
|
|
rndsav = ldp->rndprc;
|
|
|
|
|
ldp->rndprc = NBITS; /* Set to full precision */
|
|
|
|
|
lost = 0;
|
|
|
|
|
nsign = 0;
|
|
|
|
|
decflg = 0;
|
|
|
|
|
sgnflg = 0;
|
|
|
|
|
nexp = 0;
|
|
|
|
|
exp = 0;
|
|
|
|
|
prec = 0;
|
|
|
|
|
ecleaz (yy);
|
|
|
|
|
trail = 0;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
nxtcom:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
k = *s - '0';
|
|
|
|
|
if ((k >= 0) && (k <= 9))
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Ignore leading zeros */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((prec == 0) && (decflg == 0) && (k == 0))
|
|
|
|
|
goto donchr;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Identify and strip trailing zeros after the decimal point. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((trail == 0) && (decflg != 0))
|
|
|
|
|
{
|
|
|
|
|
sp = s;
|
|
|
|
|
while ((*sp >= '0') && (*sp <= '9'))
|
|
|
|
|
++sp;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Check for syntax error */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
c = *sp & 0x7f;
|
|
|
|
|
if ((c != 'e') && (c != 'E') && (c != '\0')
|
|
|
|
|
&& (c != '\n') && (c != '\r') && (c != ' ') && (c != ','))
|
|
|
|
|
goto error;
|
|
|
|
|
--sp;
|
|
|
|
|
while (*sp == '0')
|
|
|
|
|
*sp-- = 'z';
|
|
|
|
|
trail = 1;
|
|
|
|
|
if (*s == 'z')
|
|
|
|
|
goto donchr;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* If enough digits were given to more than fill up the yy register,
|
|
|
|
|
* continuing until overflow into the high guard word yy[2]
|
|
|
|
|
* guarantees that there will be a roundoff bit at the top
|
|
|
|
|
* of the low guard word after normalization.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (yy[2] == 0)
|
|
|
|
|
{
|
|
|
|
|
if (decflg)
|
|
|
|
|
nexp += 1; /* count digits after decimal point */
|
|
|
|
|
eshup1 (yy); /* multiply current number by 10 */
|
|
|
|
|
emovz (yy, xt);
|
|
|
|
|
eshup1 (xt);
|
|
|
|
|
eshup1 (xt);
|
|
|
|
|
eaddm (xt, yy);
|
|
|
|
|
ecleaz (xt);
|
|
|
|
|
xt[NI - 2] = (unsigned short) k;
|
|
|
|
|
eaddm (xt, yy);
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
/* Mark any lost non-zero digit. */
|
|
|
|
|
lost |= k;
|
|
|
|
|
/* Count lost digits before the decimal point. */
|
|
|
|
|
if (decflg == 0)
|
|
|
|
|
nexp -= 1;
|
|
|
|
|
}
|
|
|
|
|
prec += 1;
|
|
|
|
|
goto donchr;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
switch (*s)
|
|
|
|
|
{
|
|
|
|
|
case 'z':
|
|
|
|
|
break;
|
|
|
|
|
case 'E':
|
|
|
|
|
case 'e':
|
|
|
|
|
goto expnt;
|
|
|
|
|
case '.': /* decimal point */
|
|
|
|
|
if (decflg)
|
|
|
|
|
goto error;
|
|
|
|
|
++decflg;
|
|
|
|
|
break;
|
|
|
|
|
case '-':
|
|
|
|
|
nsign = 0xffff;
|
|
|
|
|
if (sgnflg)
|
|
|
|
|
goto error;
|
|
|
|
|
++sgnflg;
|
|
|
|
|
break;
|
|
|
|
|
case '+':
|
|
|
|
|
if (sgnflg)
|
|
|
|
|
goto error;
|
|
|
|
|
++sgnflg;
|
|
|
|
|
break;
|
|
|
|
|
case ',':
|
|
|
|
|
case ' ':
|
|
|
|
|
case '\0':
|
|
|
|
|
case '\n':
|
|
|
|
|
case '\r':
|
|
|
|
|
goto daldone;
|
|
|
|
|
case 'i':
|
|
|
|
|
case 'I':
|
|
|
|
|
goto infinite;
|
|
|
|
|
default:
|
|
|
|
|
error:
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef NANS
|
2017-10-07 00:16:47 +00:00
|
|
|
|
enan (yy, NI * 16);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
mtherr ("asctoe", DOMAIN);
|
|
|
|
|
ecleaz (yy);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
goto aexit;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
donchr:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
++s;
|
|
|
|
|
goto nxtcom;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* Exponent interpretation */
|
|
|
|
|
expnt:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
esign = 1;
|
|
|
|
|
exp = 0;
|
|
|
|
|
++s;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* check for + or - */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (*s == '-')
|
|
|
|
|
{
|
|
|
|
|
esign = -1;
|
|
|
|
|
++s;
|
|
|
|
|
}
|
|
|
|
|
if (*s == '+')
|
|
|
|
|
++s;
|
|
|
|
|
while ((*s >= '0') && (*s <= '9'))
|
|
|
|
|
{
|
|
|
|
|
exp *= 10;
|
|
|
|
|
exp += *s++ - '0';
|
|
|
|
|
if (exp > 4977)
|
|
|
|
|
{
|
|
|
|
|
if (esign < 0)
|
|
|
|
|
goto zero;
|
|
|
|
|
else
|
|
|
|
|
goto infinite;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
if (esign < 0)
|
|
|
|
|
exp = -exp;
|
|
|
|
|
if (exp > 4932)
|
|
|
|
|
{
|
|
|
|
|
infinite:
|
|
|
|
|
ecleaz (yy);
|
|
|
|
|
yy[E] = 0x7fff; /* infinity */
|
|
|
|
|
goto aexit;
|
|
|
|
|
}
|
|
|
|
|
if (exp < -4977)
|
|
|
|
|
{
|
|
|
|
|
zero:
|
|
|
|
|
ecleaz (yy);
|
|
|
|
|
goto aexit;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
daldone:
|
2017-10-07 00:16:47 +00:00
|
|
|
|
nexp = exp - nexp;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* Pad trailing zeros to minimize power of 10, per IEEE spec. */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
while ((nexp > 0) && (yy[2] == 0))
|
|
|
|
|
{
|
|
|
|
|
emovz (yy, xt);
|
|
|
|
|
eshup1 (xt);
|
|
|
|
|
eshup1 (xt);
|
|
|
|
|
eaddm (yy, xt);
|
|
|
|
|
eshup1 (xt);
|
|
|
|
|
if (xt[2] != 0)
|
|
|
|
|
break;
|
|
|
|
|
nexp -= 1;
|
|
|
|
|
emovz (xt, yy);
|
|
|
|
|
}
|
|
|
|
|
if ((k = enormlz (yy)) > NBITS)
|
|
|
|
|
{
|
|
|
|
|
ecleaz (yy);
|
|
|
|
|
goto aexit;
|
|
|
|
|
}
|
|
|
|
|
lexp = (EXONE - 1 + NBITS) - k;
|
|
|
|
|
emdnorm (yy, lost, 0, lexp, 64, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* convert to external format */
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/* Multiply by 10**nexp. If precision is 64 bits,
|
|
|
|
|
* the maximum relative error incurred in forming 10**n
|
|
|
|
|
* for 0 <= n <= 324 is 8.2e-20, at 10**180.
|
|
|
|
|
* For 0 <= n <= 999, the peak relative error is 1.4e-19 at 10**947.
|
|
|
|
|
* For 0 >= n >= -999, it is -1.55e-19 at 10**-435.
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
lexp = yy[E];
|
|
|
|
|
if (nexp == 0)
|
|
|
|
|
{
|
|
|
|
|
k = 0;
|
|
|
|
|
goto expdon;
|
|
|
|
|
}
|
|
|
|
|
esign = 1;
|
|
|
|
|
if (nexp < 0)
|
|
|
|
|
{
|
|
|
|
|
nexp = -nexp;
|
|
|
|
|
esign = -1;
|
|
|
|
|
if (nexp > 4096)
|
|
|
|
|
{ /* Punt. Can't handle this without 2 divides. */
|
|
|
|
|
emovi (etens[0], tt);
|
|
|
|
|
lexp -= tt[E];
|
|
|
|
|
k = edivm (tt, yy, ldp);
|
|
|
|
|
lexp += EXONE;
|
|
|
|
|
nexp -= 4096;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
p = &etens[NTEN][0];
|
|
|
|
|
emov (eone, xt);
|
|
|
|
|
exp = 1;
|
|
|
|
|
do
|
|
|
|
|
{
|
|
|
|
|
if (exp & nexp)
|
|
|
|
|
emul (p, xt, xt, ldp);
|
|
|
|
|
p -= NE;
|
|
|
|
|
exp = exp + exp;
|
|
|
|
|
}
|
|
|
|
|
while (exp <= MAXP);
|
|
|
|
|
|
|
|
|
|
emovi (xt, tt);
|
|
|
|
|
if (esign < 0)
|
|
|
|
|
{
|
|
|
|
|
lexp -= tt[E];
|
|
|
|
|
k = edivm (tt, yy, ldp);
|
|
|
|
|
lexp += EXONE;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
lexp += tt[E];
|
|
|
|
|
k = emulm (tt, yy, ldp);
|
|
|
|
|
lexp -= EXONE - 1;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
expdon:
|
|
|
|
|
|
|
|
|
|
/* Round and convert directly to the destination type */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (oprec == 53)
|
|
|
|
|
lexp -= EXONE - 0x3ff;
|
|
|
|
|
else if (oprec == 24)
|
|
|
|
|
lexp -= EXONE - 0177;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
else if (oprec == 56)
|
|
|
|
|
lexp -= EXONE - 0201;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
2017-10-07 00:16:47 +00:00
|
|
|
|
ldp->rndprc = oprec;
|
|
|
|
|
emdnorm (yy, k, 0, lexp, 64, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
aexit:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
ldp->rndprc = rndsav;
|
|
|
|
|
yy[0] = nsign;
|
|
|
|
|
switch (oprec)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifdef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 56:
|
|
|
|
|
todec (yy, y); /* see etodec.c */
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif
|
|
|
|
|
#if LDBL_MANT_DIG == 53
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 53:
|
|
|
|
|
toe53 (yy, y);
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 24
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 24:
|
|
|
|
|
toe24 (yy, y);
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 64
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 64:
|
|
|
|
|
toe64 (yy, y);
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#elif LDBL_MANT_DIG == 113
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 113:
|
|
|
|
|
toe113 (yy, y);
|
|
|
|
|
break;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case NBITS:
|
|
|
|
|
emovo (yy, y, ldp);
|
|
|
|
|
break;
|
|
|
|
|
#endif
|
|
|
|
|
}
|
|
|
|
|
lenldstr += s - lstr;
|
|
|
|
|
if (mflag)
|
|
|
|
|
free (lstr);
|
|
|
|
|
return lenldstr;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#endif
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
|
|
|
|
/* y = largest integer not greater than x
|
|
|
|
|
* (truncated toward minus infinity)
|
|
|
|
|
*
|
|
|
|
|
* unsigned short x[NE], y[NE]
|
|
|
|
|
* LDPARMS *ldp
|
|
|
|
|
*
|
|
|
|
|
* efloor( x, y, ldp );
|
|
|
|
|
*/
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static _CONST unsigned short bmask[] = {
|
|
|
|
|
0xffff,
|
|
|
|
|
0xfffe,
|
|
|
|
|
0xfffc,
|
|
|
|
|
0xfff8,
|
|
|
|
|
0xfff0,
|
|
|
|
|
0xffe0,
|
|
|
|
|
0xffc0,
|
|
|
|
|
0xff80,
|
|
|
|
|
0xff00,
|
|
|
|
|
0xfe00,
|
|
|
|
|
0xfc00,
|
|
|
|
|
0xf800,
|
|
|
|
|
0xf000,
|
|
|
|
|
0xe000,
|
|
|
|
|
0xc000,
|
|
|
|
|
0x8000,
|
|
|
|
|
0x0000,
|
2017-04-11 21:13:36 +00:00
|
|
|
|
};
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
efloor (short unsigned int *x, short unsigned int *y, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
register unsigned short *p;
|
|
|
|
|
int e, expon, i;
|
|
|
|
|
unsigned short f[NE];
|
|
|
|
|
|
|
|
|
|
emov (x, f); /* leave in external format */
|
|
|
|
|
expon = (int) f[NE - 1];
|
|
|
|
|
e = (expon & 0x7fff) - (EXONE - 1);
|
|
|
|
|
if (e <= 0)
|
|
|
|
|
{
|
|
|
|
|
eclear (y);
|
|
|
|
|
goto isitneg;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* number of bits to clear out */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
e = NBITS - e;
|
|
|
|
|
emov (f, y);
|
|
|
|
|
if (e <= 0)
|
|
|
|
|
return;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
p = &y[0];
|
|
|
|
|
while (e >= 16)
|
|
|
|
|
{
|
|
|
|
|
*p++ = 0;
|
|
|
|
|
e -= 16;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* clear the remaining bits */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*p &= bmask[e];
|
2017-04-11 21:13:36 +00:00
|
|
|
|
/* truncate negatives toward minus infinity */
|
|
|
|
|
isitneg:
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if ((unsigned short) expon & (unsigned short) 0x8000)
|
|
|
|
|
{
|
|
|
|
|
for (i = 0; i < NE - 1; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
if (f[i] != y[i])
|
|
|
|
|
{
|
|
|
|
|
esub (eone, y, y, ldp);
|
|
|
|
|
break;
|
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
2017-10-07 00:16:47 +00:00
|
|
|
|
}
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
eiremain (short unsigned int *den, short unsigned int *num, LDPARMS * ldp)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
long ld, ln;
|
|
|
|
|
unsigned short j;
|
|
|
|
|
unsigned short *equot = ldp->equot;
|
|
|
|
|
|
|
|
|
|
ld = den[E];
|
|
|
|
|
ld -= enormlz (den);
|
|
|
|
|
ln = num[E];
|
|
|
|
|
ln -= enormlz (num);
|
|
|
|
|
ecleaz (equot);
|
|
|
|
|
while (ln >= ld)
|
|
|
|
|
{
|
|
|
|
|
if (ecmpm (den, num) <= 0)
|
|
|
|
|
{
|
|
|
|
|
esubm (den, num);
|
|
|
|
|
j = 1;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
j = 0;
|
|
|
|
|
}
|
|
|
|
|
eshup1 (equot);
|
|
|
|
|
equot[NI - 1] |= j;
|
|
|
|
|
eshup1 (num);
|
|
|
|
|
ln -= 1;
|
|
|
|
|
}
|
|
|
|
|
emdnorm (num, 0, 0, ln, 0, ldp);
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/* NaN bit patterns
|
|
|
|
|
*/
|
|
|
|
|
#ifdef MIEEE
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#if !defined(__mips)
|
|
|
|
|
static _CONST unsigned short nan113[8] = {
|
|
|
|
|
0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
static _CONST unsigned short nan64[6] = {
|
|
|
|
|
0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff
|
|
|
|
|
};
|
|
|
|
|
static _CONST unsigned short nan53[4] = { 0x7fff, 0xffff, 0xffff, 0xffff };
|
|
|
|
|
static _CONST unsigned short nan24[2] = { 0x7fff, 0xffff };
|
|
|
|
|
#elif defined(__mips_nan2008) /* __mips */
|
|
|
|
|
static _CONST unsigned short nan113[8] = { 0x7fff, 0x8000, 0, 0, 0, 0, 0, 0 };
|
|
|
|
|
static _CONST unsigned short nan64[6] = { 0x7fff, 0xc000, 0, 0, 0, 0 };
|
|
|
|
|
static _CONST unsigned short nan53[4] = { 0x7ff8, 0, 0, 0 };
|
|
|
|
|
static _CONST unsigned short nan24[2] = { 0x7fc0, 0 };
|
|
|
|
|
#else /* __mips && !__mips_nan2008 */
|
|
|
|
|
static _CONST unsigned short nan113[8] = {
|
|
|
|
|
0x7fff, 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
static _CONST unsigned short nan64[6] = {
|
|
|
|
|
0x7fff, 0xbfff, 0xffff, 0xffff, 0xffff, 0xffff
|
|
|
|
|
};
|
|
|
|
|
static _CONST unsigned short nan53[4] = { 0x7ff7, 0xffff, 0xffff, 0xffff };
|
|
|
|
|
static _CONST unsigned short nan24[2] = { 0x7fbf, 0xffff };
|
|
|
|
|
#endif /* __mips && !__mips_nan2008 */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#else /* !MIEEE */
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#if !defined(__mips) || defined(__mips_nan2008)
|
|
|
|
|
static _CONST unsigned short nan113[8] = { 0, 0, 0, 0, 0, 0, 0x8000, 0x7fff };
|
|
|
|
|
static _CONST unsigned short nan64[6] = { 0, 0, 0, 0, 0xc000, 0x7fff };
|
|
|
|
|
static _CONST unsigned short nan53[4] = { 0, 0, 0, 0x7ff8 };
|
|
|
|
|
static _CONST unsigned short nan24[2] = { 0, 0x7fc0 };
|
|
|
|
|
#else /* __mips && !__mips_nan2008 */
|
|
|
|
|
static _CONST unsigned short nan113[8] = {
|
|
|
|
|
0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff, 0x7fff
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
static _CONST unsigned short nan64[6] = {
|
|
|
|
|
0xffff, 0xffff, 0xffff, 0xffff, 0xbfff, 0x7fff
|
|
|
|
|
};
|
|
|
|
|
static _CONST unsigned short nan53[4] = { 0xffff, 0xffff, 0xffff, 0x7ff7 };
|
|
|
|
|
static _CONST unsigned short nan24[2] = { 0xffff, 0x7fbf };
|
|
|
|
|
#endif /* __mips && !__mips_nan2008 */
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#endif /* !MIEEE */
|
|
|
|
|
|
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
static void
|
|
|
|
|
enan (short unsigned int *nan, int size)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
{
|
2017-10-07 00:16:47 +00:00
|
|
|
|
int i, n;
|
|
|
|
|
_CONST unsigned short *p;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
|
2017-10-07 00:16:47 +00:00
|
|
|
|
switch (size)
|
|
|
|
|
{
|
2017-04-11 21:13:36 +00:00
|
|
|
|
#ifndef DEC
|
2017-10-07 00:16:47 +00:00
|
|
|
|
case 113:
|
|
|
|
|
n = 8;
|
|
|
|
|
p = nan113;
|
|
|
|
|
break;
|
|
|
|
|
|
|
|
|
|
case 64:
|
|
|
|
|
n = 6;
|
|
|
|
|
p = nan64;
|
|
|
|
|
break;
|
|
|
|
|
|
|
|
|
|
case 53:
|
|
|
|
|
n = 4;
|
|
|
|
|
p = nan53;
|
|
|
|
|
break;
|
|
|
|
|
|
|
|
|
|
case 24:
|
|
|
|
|
n = 2;
|
|
|
|
|
p = nan24;
|
|
|
|
|
break;
|
|
|
|
|
|
|
|
|
|
case NBITS:
|
|
|
|
|
#if !defined(__mips) || defined(__mips_nan2008)
|
|
|
|
|
for (i = 0; i < NE - 2; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
*nan++ = 0;
|
2017-10-07 00:16:47 +00:00
|
|
|
|
*nan++ = 0xc000;
|
|
|
|
|
#else /* __mips && !__mips_nan2008 */
|
|
|
|
|
for (i = 0; i < NE - 2; i++)
|
|
|
|
|
*nan++ = 0xffff;
|
|
|
|
|
*nan++ = 0xbfff;
|
|
|
|
|
#endif /* __mips && !__mips_nan2008 */
|
|
|
|
|
*nan++ = 0x7fff;
|
|
|
|
|
return;
|
|
|
|
|
|
|
|
|
|
case NI * 16:
|
|
|
|
|
*nan++ = 0;
|
|
|
|
|
*nan++ = 0x7fff;
|
|
|
|
|
*nan++ = 0;
|
|
|
|
|
#if !defined(__mips) || defined(__mips_nan2008)
|
|
|
|
|
*nan++ = 0xc000;
|
|
|
|
|
for (i = 4; i < NI - 1; i++)
|
2017-04-11 21:13:36 +00:00
|
|
|
|
*nan++ = 0;
|
2017-10-07 00:16:47 +00:00
|
|
|
|
#else /* __mips && !__mips_nan2008 */
|
|
|
|
|
*nan++ = 0xbfff;
|
|
|
|
|
for (i = 4; i < NI - 1; i++)
|
|
|
|
|
*nan++ = 0xffff;
|
|
|
|
|
#endif /* __mips && !__mips_nan2008 */
|
|
|
|
|
*nan++ = 0;
|
|
|
|
|
return;
|
|
|
|
|
#endif
|
|
|
|
|
default:
|
|
|
|
|
mtherr ("enan", DOMAIN);
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
for (i = 0; i < n; i++)
|
|
|
|
|
*nan++ = *p++;
|
2017-04-11 21:13:36 +00:00
|
|
|
|
}
|