cpython-lru_cache-weakref: Python/dtoa.c annotate

annotate Python/dtoa.c @ 53207:fe99a562b708

Silence compiler warnings on VS8.0

author	Mark Dickinson <dickinsm@gmail.com>
date	Fri, 17 Apr 2009 19:29:46 +0000
parents	ab06a38b590c
children	13a82a710f19

rev	line source
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1 /****************************************************************
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	3 * The author of this software is David M. Gay.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	4 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	5 * Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	6 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	7 * Permission to use, copy, modify, and distribute this software for any
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	8 * purpose without fee is hereby granted, provided that this entire notice
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	9 * is included in all copies of any software which is or includes a copy
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	10 * or modification of this software and in all copies of the supporting
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	11 * documentation for such software.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	12 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	13 * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	14 * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	15 * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	16 * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	17 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	18 ***************************************************************/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	19
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	20 /****************************************************************
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	21 * This is dtoa.c by David M. Gay, downloaded from
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	22 * http://www.netlib.org/fp/dtoa.c on April 15, 2009 and modified for
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	23 * inclusion into the Python core by Mark E. T. Dickinson and Eric V. Smith.
53203 ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	24 *
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	25 * Please remember to check http://www.netlib.org/fp regularly (and especially
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	26 * before any Python release) for bugfixes and updates.
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	27 *
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	28 * The major modifications from Gay's original code are as follows:
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	29 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	30 * 0. The original code has been specialized to Python's needs by removing
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	31 * many of the #ifdef'd sections. In particular, code to support VAX and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	32 * IBM floating-point formats, hex NaNs, hex floats, locale-aware
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	33 * treatment of the decimal point, and setting of the inexact flag have
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	34 * been removed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	35 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	36 * 1. We use PyMem_Malloc and PyMem_Free in place of malloc and free.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	37 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	38 * 2. The public functions strtod, dtoa and freedtoa all now have
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	39 * a _Py_dg_ prefix.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	40 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	41 * 3. Instead of assuming that PyMem_Malloc always succeeds, we thread
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	42 * PyMem_Malloc failures through the code. The functions
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	43 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	44 * Balloc, multadd, s2b, i2b, mult, pow5mult, lshift, diff, d2b
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	45 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	46 * of return type *Bigint all return NULL to indicate a malloc failure.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	47 * Similarly, rv_alloc and nrv_alloc (return type char *) return NULL on
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	48 * failure. bigcomp now has return type int (it used to be void) and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	49 * returns -1 on failure and 0 otherwise. _Py_dg_dtoa returns NULL
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	50 * on failure. _Py_dg_strtod indicates failure due to malloc failure
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	51 * by returning -1.0, setting errno=ENOMEM and *se to s00.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	52 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	53 * 4. The static variable dtoa_result has been removed. Callers of
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	54 * _Py_dg_dtoa are expected to call _Py_dg_freedtoa to free
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	55 * the memory allocated by _Py_dg_dtoa.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	56 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	57 * 5. The code has been reformatted to better fit with Python's
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	58 * C style guide (PEP 7).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	59 *
53203 ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	60 * 6. A bug in the memory allocation has been fixed: to avoid FREEing memory
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	61 * that hasn't been MALLOC'ed, private_mem should only be used when k <=
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	62 * Kmax.
ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	63 *
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	64 ***************************************************************/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	65
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	66 /* Please send bug reports for the original dtoa.c code to David M. Gay (dmg
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	67 * at acm dot org, with " at " changed at "@" and " dot " changed to ".").
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	68 * Please report bugs for this modified version using the Python issue tracker
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	69 * (http://bugs.python.org). */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	70
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	71 /* On a machine with IEEE extended-precision registers, it is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	72 * necessary to specify double-precision (53-bit) rounding precision
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	73 * before invoking strtod or dtoa. If the machine uses (the equivalent
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	74 * of) Intel 80x87 arithmetic, the call
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	75 * _control87(PC_53, MCW_PC);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	76 * does this with many compilers. Whether this or another call is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	77 * appropriate depends on the compiler; for this to work, it may be
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	78 * necessary to #include "float.h" or another system-dependent header
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	79 * file.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	80 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	81
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	82 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	83 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	84 * This strtod returns a nearest machine number to the input decimal
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	85 * string (or sets errno to ERANGE). With IEEE arithmetic, ties are
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	86 * broken by the IEEE round-even rule. Otherwise ties are broken by
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	87 * biased rounding (add half and chop).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	88 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	89 * Inspired loosely by William D. Clinger's paper "How to Read Floating
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	90 * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	91 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	92 * Modifications:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	93 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	94 * 1. We only require IEEE, IBM, or VAX double-precision
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	95 * arithmetic (not IEEE double-extended).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	96 * 2. We get by with floating-point arithmetic in a case that
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	97 * Clinger missed -- when we're computing d * 10^n
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	98 * for a small integer d and the integer n is not too
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	99 * much larger than 22 (the maximum integer k for which
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	100 * we can represent 10^k exactly), we may be able to
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	101 * compute (d10^k) 10^(e-k) with just one roundoff.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	102 * 3. Rather than a bit-at-a-time adjustment of the binary
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	103 * result in the hard case, we use floating-point
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	104 * arithmetic to determine the adjustment to within
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	105 * one bit; only in really hard cases do we need to
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	106 * compute a second residual.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	107 * 4. Because of 3., we don't need a large table of powers of 10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	108 * for ten-to-e (just some small tables, e.g. of 10^k
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	109 * for 0 <= k <= 22).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	110 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	111
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	112 /* Linking of Python's #defines to Gay's #defines starts here. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	113
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	114 #include "Python.h"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	115
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	116 /* if PY_NO_SHORT_FLOAT_REPR is defined, then don't even try to compile
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	117 the following code */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	118 #ifndef PY_NO_SHORT_FLOAT_REPR
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	119
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	120 #include "float.h"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	121
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	122 #define MALLOC PyMem_Malloc
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	123 #define FREE PyMem_Free
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	124
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	125 /* This code should also work for ARM mixed-endian format on little-endian
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	126 machines, where doubles have byte order 45670123 (in increasing address
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	127 order, 0 being the least significant byte). */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	128 #ifdef DOUBLE_IS_LITTLE_ENDIAN_IEEE754
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	129 # define IEEE_8087
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	130 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	131 #if defined(DOUBLE_IS_BIG_ENDIAN_IEEE754) \|\| \
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	132 defined(DOUBLE_IS_ARM_MIXED_ENDIAN_IEEE754)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	133 # define IEEE_MC68k
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	134 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	135 #if defined(IEEE_8087) + defined(IEEE_MC68k) != 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	136 #error "Exactly one of IEEE_8087 or IEEE_MC68k should be defined."
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	137 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	138
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	139 /* The code below assumes that the endianness of integers matches the
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	140 endianness of the two 32-bit words of a double. Check this. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	141 #if defined(WORDS_BIGENDIAN) && (defined(DOUBLE_IS_LITTLE_ENDIAN_IEEE754) \|\| \
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	142 defined(DOUBLE_IS_ARM_MIXED_ENDIAN_IEEE754))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	143 #error "doubles and ints have incompatible endianness"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	144 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	145
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	146 #if !defined(WORDS_BIGENDIAN) && defined(DOUBLE_IS_BIG_ENDIAN_IEEE754)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	147 #error "doubles and ints have incompatible endianness"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	148 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	149
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	150
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	151 #if defined(HAVE_UINT32_T) && defined(HAVE_INT32_T)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	152 typedef PY_UINT32_T ULong;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	153 typedef PY_INT32_T Long;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	154 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	155 #error "Failed to find an exact-width 32-bit integer type"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	156 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	157
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	158 #if defined(HAVE_UINT64_T)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	159 #define ULLong PY_UINT64_T
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	160 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	161 #undef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	162 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	163
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	164 #undef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	165 #ifdef Py_DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	166 #define DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	167 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	168
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	169 /* End Python #define linking */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	170
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	171 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	172 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	173 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	174
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	175 #ifndef PRIVATE_MEM
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	176 #define PRIVATE_MEM 2304
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	177 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	178 #define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	179 static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	180
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	181 #ifdef __cplusplus
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	182 extern "C" {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	183 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	184
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	185 typedef union { double d; ULong L[2]; } U;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	186
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	187 #ifdef IEEE_8087
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	188 #define word0(x) (x)->L[1]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	189 #define word1(x) (x)->L[0]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	190 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	191 #define word0(x) (x)->L[0]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	192 #define word1(x) (x)->L[1]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	193 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	194 #define dval(x) (x)->d
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	195
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	196 #ifndef STRTOD_DIGLIM
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	197 #define STRTOD_DIGLIM 40
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	198 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	199
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	200 #ifdef DIGLIM_DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	201 extern int strtod_diglim;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	202 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	203 #define strtod_diglim STRTOD_DIGLIM
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	204 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	205
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	206 /* The following definition of Storeinc is appropriate for MIPS processors.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	207 * An alternative that might be better on some machines is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	208 * #define Storeinc(a,b,c) (*a++ = b << 16 \| c & 0xffff)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	209 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	210 #if defined(IEEE_8087)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	211 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	212 ((unsigned short *)a)[0] = (unsigned short)c, a++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	213 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	214 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	215 ((unsigned short *)a)[1] = (unsigned short)c, a++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	216 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	217
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	218 /* #define P DBL_MANT_DIG */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	219 /* Ten_pmax = floor(Plog(2)/log(5)) /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	220 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	221 /* Quick_max = floor((P-1)log(FLT_RADIX)/log(10) - 1) /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	222 /* Int_max = floor(Plog(FLT_RADIX)/log(10) - 1) /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	223
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	224 #define Exp_shift 20
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	225 #define Exp_shift1 20
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	226 #define Exp_msk1 0x100000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	227 #define Exp_msk11 0x100000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	228 #define Exp_mask 0x7ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	229 #define P 53
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	230 #define Nbits 53
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	231 #define Bias 1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	232 #define Emax 1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	233 #define Emin (-1022)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	234 #define Exp_1 0x3ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	235 #define Exp_11 0x3ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	236 #define Ebits 11
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	237 #define Frac_mask 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	238 #define Frac_mask1 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	239 #define Ten_pmax 22
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	240 #define Bletch 0x10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	241 #define Bndry_mask 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	242 #define Bndry_mask1 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	243 #define LSB 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	244 #define Sign_bit 0x80000000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	245 #define Log2P 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	246 #define Tiny0 0
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	247 #define Tiny1 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	248 #define Quick_max 14
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	249 #define Int_max 14
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	250
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	251 #ifndef Flt_Rounds
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	252 #ifdef FLT_ROUNDS
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	253 #define Flt_Rounds FLT_ROUNDS
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	254 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	255 #define Flt_Rounds 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	256 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	257 #endif /Flt_Rounds/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	258
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	259 #define Rounding Flt_Rounds
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	260
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	261 #define Big0 (Frac_mask1 \| Exp_msk1*(DBL_MAX_EXP+Bias-1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	262 #define Big1 0xffffffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	263
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	264 #ifndef NAN_WORD0
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	265 #define NAN_WORD0 0x7ff80000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	266 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	267
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	268 #ifndef NAN_WORD1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	269 #define NAN_WORD1 0
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	270 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	271
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	272
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	273 /* struct BCinfo is used to pass information from _Py_dg_strtod to bigcomp */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	274
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	275 typedef struct BCinfo BCinfo;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	276 struct
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	277 BCinfo {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	278 int dp0, dp1, dplen, dsign, e0, inexact;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	279 int nd, nd0, rounding, scale, uflchk;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	280 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	281
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	282 #define FFFFFFFF 0xffffffffUL
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	283
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	284 #define Kmax 7
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	285
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	286 /* struct Bigint is used to represent arbitrary-precision integers. These
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	287 integers are stored in sign-magnitude format, with the magnitude stored as
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	288 an array of base 2**32 digits. Bigints are always normalized: if x is a
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	289 Bigint then x->wds >= 1, and either x->wds == 1 or x[wds-1] is nonzero.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	290
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	291 The Bigint fields are as follows:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	292
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	293 - next is a header used by Balloc and Bfree to keep track of lists
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	294 of freed Bigints; it's also used for the linked list of
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	295 powers of 5 of the form 52i used by pow5mult.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	296 - k indicates which pool this Bigint was allocated from
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	297 - maxwds is the maximum number of words space was allocated for
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	298 (usually maxwds == 2**k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	299 - sign is 1 for negative Bigints, 0 for positive. The sign is unused
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	300 (ignored on inputs, set to 0 on outputs) in almost all operations
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	301 involving Bigints: a notable exception is the diff function, which
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	302 ignores signs on inputs but sets the sign of the output correctly.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	303 - wds is the actual number of significant words
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	304 - x contains the vector of words (digits) for this Bigint, from least
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	305 significant (x[0]) to most significant (x[wds-1]).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	306 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	307
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	308 struct
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	309 Bigint {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	310 struct Bigint *next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	311 int k, maxwds, sign, wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	312 ULong x[1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	313 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	314
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	315 typedef struct Bigint Bigint;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	316
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	317 /* Memory management: memory is allocated from, and returned to, Kmax+1 pools
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	318 of memory, where pool k (0 <= k <= Kmax) is for Bigints b with b->maxwds ==
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	319 1 << k. These pools are maintained as linked lists, with freelist[k]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	320 pointing to the head of the list for pool k.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	321
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	322 On allocation, if there's no free slot in the appropriate pool, MALLOC is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	323 called to get more memory. This memory is not returned to the system until
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	324 Python quits. There's also a private memory pool that's allocated from
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	325 in preference to using MALLOC.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	326
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	327 For Bigints with more than (1 << Kmax) digits (which implies at least 1233
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	328 decimal digits), memory is directly allocated using MALLOC, and freed using
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	329 FREE.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	330
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	331 XXX: it would be easy to bypass this memory-management system and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	332 translate each call to Balloc into a call to PyMem_Malloc, and each
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	333 Bfree to PyMem_Free. Investigate whether this has any significant
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	334 performance on impact. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	335
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	336 static Bigint *freelist[Kmax+1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	337
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	338 /* Allocate space for a Bigint with up to 1<<k digits */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	339
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	340 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	341 Balloc(int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	342 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	343 int x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	344 Bigint *rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	345 unsigned int len;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	346
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	347 if (k <= Kmax && (rv = freelist[k]))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	348 freelist[k] = rv->next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	349 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	350 x = 1 << k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	351 len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	352 /sizeof(double);
53203 ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	353 if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	354 rv = (Bigint*)pmem_next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	355 pmem_next += len;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	356 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	357 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	358 rv = (Bigint)MALLOC(lensizeof(double));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	359 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	360 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	361 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	362 rv->k = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	363 rv->maxwds = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	364 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	365 rv->sign = rv->wds = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	366 return rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	367 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	368
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	369 /* Free a Bigint allocated with Balloc */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	370
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	371 static void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	372 Bfree(Bigint *v)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	373 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	374 if (v) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	375 if (v->k > Kmax)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	376 FREE((void*)v);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	377 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	378 v->next = freelist[v->k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	379 freelist[v->k] = v;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	380 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	381 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	382 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	383
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	384 #define Bcopy(x,y) memcpy((char )&x->sign, (char )&y->sign, \
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	385 y->wdssizeof(Long) + 2sizeof(int))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	386
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	387 /* Multiply a Bigint b by m and add a. Either modifies b in place and returns
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	388 a pointer to the modified b, or Bfrees b and returns a pointer to a copy.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	389 On failure, return NULL. In this case, b will have been already freed. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	390
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	391 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	392 multadd(Bigint b, int m, int a) / multiply by m and add a */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	393 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	394 int i, wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	395 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	396 ULong *x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	397 ULLong carry, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	398 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	399 ULong carry, *x, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	400 ULong xi, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	401 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	402 Bigint *b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	403
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	404 wds = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	405 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	406 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	407 carry = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	408 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	409 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	410 y = x (ULLong)m + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	411 carry = y >> 32;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	412 *x++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	413 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	414 xi = *x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	415 y = (xi & 0xffff) * m + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	416 z = (xi >> 16) * m + (y >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	417 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	418 *x++ = (z << 16) + (y & 0xffff);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	419 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	420 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	421 while(++i < wds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	422 if (carry) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	423 if (wds >= b->maxwds) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	424 b1 = Balloc(b->k+1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	425 if (b1 == NULL){
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	426 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	427 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	428 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	429 Bcopy(b1, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	430 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	431 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	432 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	433 b->x[wds++] = (ULong)carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	434 b->wds = wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	435 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	436 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	437 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	438
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	439 /* convert a string s containing nd decimal digits (possibly containing a
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	440 decimal separator at position nd0, which is ignored) to a Bigint. This
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	441 function carries on where the parsing code in _Py_dg_strtod leaves off: on
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	442 entry, y9 contains the result of converting the first 9 digits. Returns
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	443 NULL on failure. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	444
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	445 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	446 s2b(const char *s, int nd0, int nd, ULong y9, int dplen)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	447 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	448 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	449 int i, k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	450 Long x, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	451
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	452 x = (nd + 8) / 9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	453 for(k = 0, y = 1; x > y; y <<= 1, k++) ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	454 b = Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	455 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	456 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	457 b->x[0] = y9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	458 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	459
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	460 i = 9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	461 if (9 < nd0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	462 s += 9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	463 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	464 b = multadd(b, 10, *s++ - '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	465 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	466 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	467 } while(++i < nd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	468 s += dplen;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	469 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	470 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	471 s += dplen + 9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	472 for(; i < nd; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	473 b = multadd(b, 10, *s++ - '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	474 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	475 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	476 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	477 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	478 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	479
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	480 /* count leading 0 bits in the 32-bit integer x. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	481
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	482 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	483 hi0bits(ULong x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	484 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	485 int k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	486
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	487 if (!(x & 0xffff0000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	488 k = 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	489 x <<= 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	490 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	491 if (!(x & 0xff000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	492 k += 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	493 x <<= 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	494 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	495 if (!(x & 0xf0000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	496 k += 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	497 x <<= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	498 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	499 if (!(x & 0xc0000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	500 k += 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	501 x <<= 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	502 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	503 if (!(x & 0x80000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	504 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	505 if (!(x & 0x40000000))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	506 return 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	507 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	508 return k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	509 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	510
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	511 /* count trailing 0 bits in the 32-bit integer y, and shift y right by that
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	512 number of bits. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	513
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	514 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	515 lo0bits(ULong *y)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	516 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	517 int k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	518 ULong x = *y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	519
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	520 if (x & 7) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	521 if (x & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	522 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	523 if (x & 2) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	524 *y = x >> 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	525 return 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	526 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	527 *y = x >> 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	528 return 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	529 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	530 k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	531 if (!(x & 0xffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	532 k = 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	533 x >>= 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	534 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	535 if (!(x & 0xff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	536 k += 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	537 x >>= 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	538 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	539 if (!(x & 0xf)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	540 k += 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	541 x >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	542 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	543 if (!(x & 0x3)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	544 k += 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	545 x >>= 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	546 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	547 if (!(x & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	548 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	549 x >>= 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	550 if (!x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	551 return 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	552 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	553 *y = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	554 return k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	555 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	556
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	557 /* convert a small nonnegative integer to a Bigint */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	558
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	559 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	560 i2b(int i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	561 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	562 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	563
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	564 b = Balloc(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	565 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	566 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	567 b->x[0] = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	568 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	569 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	570 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	571
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	572 /* multiply two Bigints. Returns a new Bigint, or NULL on failure. Ignores
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	573 the signs of a and b. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	574
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	575 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	576 mult(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	577 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	578 Bigint *c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	579 int k, wa, wb, wc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	580 ULong x, xa, xae, xb, xbe, xc, *xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	581 ULong y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	582 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	583 ULLong carry, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	584 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	585 ULong carry, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	586 ULong z2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	587 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	588
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	589 if (a->wds < b->wds) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	590 c = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	591 a = b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	592 b = c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	593 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	594 k = a->k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	595 wa = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	596 wb = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	597 wc = wa + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	598 if (wc > a->maxwds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	599 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	600 c = Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	601 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	602 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	603 for(x = c->x, xa = x + wc; x < xa; x++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	604 *x = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	605 xa = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	606 xae = xa + wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	607 xb = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	608 xbe = xb + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	609 xc0 = c->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	610 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	611 for(; xb < xbe; xc0++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	612 if ((y = *xb++)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	613 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	614 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	615 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	616 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	617 z = x++ (ULLong)y + *xc + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	618 carry = z >> 32;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	619 *xc++ = (ULong)(z & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	620 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	621 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	622 *xc = (ULong)carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	623 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	624 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	625 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	626 for(; xb < xbe; xb++, xc0++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	627 if (y = *xb & 0xffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	628 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	629 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	630 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	631 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	632 z = (x & 0xffff) y + (*xc & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	633 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	634 z2 = (x++ >> 16) y + (*xc >> 16) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	635 carry = z2 >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	636 Storeinc(xc, z2, z);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	637 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	638 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	639 *xc = carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	640 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	641 if (y = *xb >> 16) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	642 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	643 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	644 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	645 z2 = *xc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	646 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	647 z = (x & 0xffff) y + (*xc >> 16) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	648 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	649 Storeinc(xc, z, z2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	650 z2 = (x++ >> 16) y + (*xc & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	651 carry = z2 >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	652 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	653 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	654 *xc = z2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	655 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	656 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	657 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	658 for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	659 c->wds = wc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	660 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	661 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	662
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	663 /* p5s is a linked list of powers of 5 of the form 5(2i), i >= 2 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	664
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	665 static Bigint *p5s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	666
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	667 /* multiply the Bigint b by 5**k. Returns a pointer to the result, or NULL on
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	668 failure; if the returned pointer is distinct from b then the original
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	669 Bigint b will have been Bfree'd. Ignores the sign of b. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	670
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	671 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	672 pow5mult(Bigint *b, int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	673 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	674 Bigint b1, p5, *p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	675 int i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	676 static int p05[3] = { 5, 25, 125 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	677
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	678 if ((i = k & 3)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	679 b = multadd(b, p05[i-1], 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	680 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	681 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	682 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	683
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	684 if (!(k >>= 2))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	685 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	686 p5 = p5s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	687 if (!p5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	688 /* first time */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	689 p5 = i2b(625);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	690 if (p5 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	691 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	692 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	693 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	694 p5s = p5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	695 p5->next = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	696 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	697 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	698 if (k & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	699 b1 = mult(b, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	700 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	701 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	702 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	703 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	704 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	705 if (!(k >>= 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	706 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	707 p51 = p5->next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	708 if (!p51) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	709 p51 = mult(p5,p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	710 if (p51 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	711 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	712 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	713 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	714 p51->next = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	715 p5->next = p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	716 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	717 p5 = p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	718 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	719 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	720 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	721
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	722 /* shift a Bigint b left by k bits. Return a pointer to the shifted result,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	723 or NULL on failure. If the returned pointer is distinct from b then the
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	724 original b will have been Bfree'd. Ignores the sign of b. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	725
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	726 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	727 lshift(Bigint *b, int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	728 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	729 int i, k1, n, n1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	730 Bigint *b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	731 ULong x, x1, *xe, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	732
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	733 n = k >> 5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	734 k1 = b->k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	735 n1 = n + b->wds + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	736 for(i = b->maxwds; n1 > i; i <<= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	737 k1++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	738 b1 = Balloc(k1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	739 if (b1 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	740 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	741 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	742 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	743 x1 = b1->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	744 for(i = 0; i < n; i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	745 *x1++ = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	746 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	747 xe = x + b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	748 if (k &= 0x1f) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	749 k1 = 32 - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	750 z = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	751 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	752 x1++ = x << k \| z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	753 z = *x++ >> k1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	754 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	755 while(x < xe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	756 if ((*x1 = z))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	757 ++n1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	758 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	759 else do
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	760 x1++ = x++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	761 while(x < xe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	762 b1->wds = n1 - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	763 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	764 return b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	765 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	766
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	767 /* Do a three-way compare of a and b, returning -1 if a < b, 0 if a == b and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	768 1 if a > b. Ignores signs of a and b. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	769
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	770 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	771 cmp(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	772 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	773 ULong xa, xa0, xb, xb0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	774 int i, j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	775
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	776 i = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	777 j = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	778 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	779 if (i > 1 && !a->x[i-1])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	780 Bug("cmp called with a->x[a->wds-1] == 0");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	781 if (j > 1 && !b->x[j-1])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	782 Bug("cmp called with b->x[b->wds-1] == 0");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	783 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	784 if (i -= j)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	785 return i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	786 xa0 = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	787 xa = xa0 + j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	788 xb0 = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	789 xb = xb0 + j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	790 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	791 if (--xa != --xb)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	792 return xa < xb ? -1 : 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	793 if (xa <= xa0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	794 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	795 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	796 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	797 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	798
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	799 /* Take the difference of Bigints a and b, returning a new Bigint. Returns
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	800 NULL on failure. The signs of a and b are ignored, but the sign of the
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	801 result is set appropriately. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	802
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	803 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	804 diff(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	805 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	806 Bigint *c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	807 int i, wa, wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	808 ULong xa, xae, xb, xbe, *xc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	809 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	810 ULLong borrow, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	811 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	812 ULong borrow, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	813 ULong z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	814 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	815
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	816 i = cmp(a,b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	817 if (!i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	818 c = Balloc(0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	819 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	820 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	821 c->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	822 c->x[0] = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	823 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	824 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	825 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	826 c = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	827 a = b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	828 b = c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	829 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	830 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	831 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	832 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	833 c = Balloc(a->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	834 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	835 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	836 c->sign = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	837 wa = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	838 xa = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	839 xae = xa + wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	840 wb = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	841 xb = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	842 xbe = xb + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	843 xc = c->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	844 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	845 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	846 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	847 y = (ULLong)xa++ - xb++ - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	848 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	849 *xc++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	850 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	851 while(xb < xbe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	852 while(xa < xae) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	853 y = *xa++ - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	854 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	855 *xc++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	856 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	857 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	858 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	859 y = (xa & 0xffff) - (xb & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	860 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	861 z = (xa++ >> 16) - (xb++ >> 16) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	862 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	863 Storeinc(xc, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	864 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	865 while(xb < xbe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	866 while(xa < xae) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	867 y = (*xa & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	868 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	869 z = (*xa++ >> 16) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	870 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	871 Storeinc(xc, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	872 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	873 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	874 while(!*--xc)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	875 wa--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	876 c->wds = wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	877 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	878 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	879
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	880 /* Given a positive normal double x, return the difference between x and the next
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	881 double up. Doesn't give correct results for subnormals. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	882
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	883 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	884 ulp(U *x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	885 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	886 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	887 U u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	888
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	889 L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	890 word0(&u) = L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	891 word1(&u) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	892 return dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	893 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	894
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	895 /* Convert a Bigint to a double plus an exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	896
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	897 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	898 b2d(Bigint a, int e)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	899 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	900 ULong xa, xa0, w, y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	901 int k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	902 U d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	903
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	904 xa0 = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	905 xa = xa0 + a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	906 y = *--xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	907 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	908 if (!y) Bug("zero y in b2d");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	909 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	910 k = hi0bits(y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	911 *e = 32 - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	912 if (k < Ebits) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	913 word0(&d) = Exp_1 \| y >> (Ebits - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	914 w = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	915 word1(&d) = y << ((32-Ebits) + k) \| w >> (Ebits - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	916 goto ret_d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	917 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	918 z = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	919 if (k -= Ebits) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	920 word0(&d) = Exp_1 \| y << k \| z >> (32 - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	921 y = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	922 word1(&d) = z << k \| y >> (32 - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	923 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	924 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	925 word0(&d) = Exp_1 \| y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	926 word1(&d) = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	927 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	928 ret_d:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	929 return dval(&d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	930 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	931
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	932 /* Convert a double to a Bigint plus an exponent. Return NULL on failure.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	933
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	934 Given a finite nonzero double d, return an odd Bigint b and exponent *e
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	935 such that fabs(d) = b * 2*e. On return, bbits gives the number of
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	936 significant bits of e; that is, 2*(bbits-1) <= b < 2*(bbits).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	937
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	938 If d is zero, then b == 0, e == -1010, bbits = 0.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	939 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	940
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	941
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	942 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	943 d2b(U d, int e, int *bits)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	944 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	945 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	946 int de, k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	947 ULong *x, y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	948 int i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	949
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	950 b = Balloc(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	951 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	952 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	953 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	954
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	955 z = word0(d) & Frac_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	956 word0(d) &= 0x7fffffff; /* clear sign bit, which we ignore */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	957 if ((de = (int)(word0(d) >> Exp_shift)))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	958 z \|= Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	959 if ((y = word1(d))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	960 if ((k = lo0bits(&y))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	961 x[0] = y \| z << (32 - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	962 z >>= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	963 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	964 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	965 x[0] = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	966 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	967 b->wds = (x[1] = z) ? 2 : 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	968 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	969 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	970 k = lo0bits(&z);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	971 x[0] = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	972 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	973 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	974 k += 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	975 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	976 if (de) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	977 *e = de - Bias - (P-1) + k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	978 *bits = P - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	979 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	980 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	981 *e = de - Bias - (P-1) + 1 + k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	982 bits = 32i - hi0bits(x[i-1]);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	983 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	984 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	985 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	986
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	987 /* Compute the ratio of two Bigints, as a double. The result may have an
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	988 error of up to 2.5 ulps. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	989
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	990 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	991 ratio(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	992 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	993 U da, db;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	994 int k, ka, kb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	995
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	996 dval(&da) = b2d(a, &ka);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	997 dval(&db) = b2d(b, &kb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	998 k = ka - kb + 32*(a->wds - b->wds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	999 if (k > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1000 word0(&da) += k*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1001 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1002 k = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1003 word0(&db) += k*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1004 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1005 return dval(&da) / dval(&db);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1006 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1007
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1008 static const double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1009 tens[] = {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1010 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1011 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1012 1e20, 1e21, 1e22
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1013 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1014
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1015 static const double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1016 bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1017 static const double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1018 9007199254740992.*9007199254740992.e-256
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1019 /* = 2^106 * 1e-256 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1020 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1021 /* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1022 /* flag unnecessarily. It leads to a song and dance at the end of strtod. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1023 #define Scale_Bit 0x10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1024 #define n_bigtens 5
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1025
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1026 /* case insensitive string match, for recognising 'inf[inity]' and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1027 'nan' strings. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1028
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1029 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1030 match(const char *sp, char t)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1031 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1032 int c, d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1033 const char s = sp;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1034
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1035 while((d = *t++)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1036 if ((c = *++s) >= 'A' && c <= 'Z')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1037 c += 'a' - 'A';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1038 if (c != d)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1039 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1040 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1041 *sp = s + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1042 return 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1043 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1044
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1045 #define ULbits 32
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1046 #define kshift 5
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1047 #define kmask 31
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1048
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1049
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1050 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1051 dshift(Bigint *b, int p2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1052 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1053 int rv = hi0bits(b->x[b->wds-1]) - 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1054 if (p2 > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1055 rv -= p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1056 return rv & kmask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1057 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1058
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1059 /* special case of Bigint division. The quotient is always in the range 0 <=
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1060 quotient < 10, and on entry the divisor S is normalized so that its top 4
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1061 bits (28--31) are zero and bit 27 is set. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1062
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1063 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1064 quorem(Bigint b, Bigint S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1065 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1066 int n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1067 ULong bx, bxe, q, sx, sxe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1068 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1069 ULLong borrow, carry, y, ys;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1070 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1071 ULong borrow, carry, y, ys;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1072 ULong si, z, zs;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1073 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1074
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1075 n = S->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1076 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1077 /debug/ if (b->wds > n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1078 /debug/ Bug("oversize b in quorem");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1079 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1080 if (b->wds < n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1081 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1082 sx = S->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1083 sxe = sx + --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1084 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1085 bxe = bx + n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1086 q = bxe / (sxe + 1); /* ensure q <= true quotient */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1087 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1088 /debug/ if (q > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1089 /debug/ Bug("oversized quotient in quorem");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1090 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1091 if (q) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1092 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1093 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1094 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1095 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1096 ys = sx++ (ULLong)q + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1097 carry = ys >> 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1098 y = *bx - (ys & FFFFFFFF) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1099 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	1100 *bx++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1101 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1102 si = *sx++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1103 ys = (si & 0xffff) * q + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1104 zs = (si >> 16) * q + (ys >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1105 carry = zs >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1106 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1107 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1108 z = (*bx >> 16) - (zs & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1109 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1110 Storeinc(bx, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1111 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1112 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1113 while(sx <= sxe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1114 if (!*bxe) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1115 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1116 while(--bxe > bx && !*bxe)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1117 --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1118 b->wds = n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1119 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1120 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1121 if (cmp(b, S) >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1122 q++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1123 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1124 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1125 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1126 sx = S->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1127 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1128 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1129 ys = *sx++ + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1130 carry = ys >> 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1131 y = *bx - (ys & FFFFFFFF) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1132 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	1133 *bx++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1134 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1135 si = *sx++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1136 ys = (si & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1137 zs = (si >> 16) + (ys >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1138 carry = zs >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1139 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1140 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1141 z = (*bx >> 16) - (zs & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1142 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1143 Storeinc(bx, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1144 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1145 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1146 while(sx <= sxe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1147 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1148 bxe = bx + n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1149 if (!*bxe) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1150 while(--bxe > bx && !*bxe)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1151 --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1152 b->wds = n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1153 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1154 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1155 return q;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1156 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1157
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1158
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1159 /* return 0 on success, -1 on failure */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1160
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1161 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1162 bigcomp(U rv, const char s0, BCinfo *bc)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1163 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1164 Bigint b, d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1165 int b2, bbits, d2, dd, dig, dsign, i, j, nd, nd0, p2, p5, speccase;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1166
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1167 dsign = bc->dsign;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1168 nd = bc->nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1169 nd0 = bc->nd0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1170 p5 = nd + bc->e0 - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1171 speccase = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1172 if (rv->d == 0.) { /* special case: value near underflow-to-zero */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1173 /* threshold was rounded to zero */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1174 b = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1175 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1176 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1177 p2 = Emin - P + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1178 bbits = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1179 word0(rv) = (P+2) << Exp_shift;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1180 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1181 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1182 speccase = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1183 --p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1184 dsign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1185 goto have_i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1186 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1187 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1188 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1189 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1190 b = d2b(rv, &p2, &bbits);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1191 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1192 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1193 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1194 p2 -= bc->scale;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1195 /* floor(log2(rv)) == bbits - 1 + p2 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1196 /* Check for denormal case. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1197 i = P - bbits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1198 if (i > (j = P - Emin - 1 + p2)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1199 i = j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1200 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1201 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1202 b = lshift(b, ++i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1203 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1204 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1205 b->x[0] \|= 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1206 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1207 have_i:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1208 p2 -= p5 + i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1209 d = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1210 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1211 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1212 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1213 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1214 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1215 * shift left if necessary so divisor has 4 leading 0 bits.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1216 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1217 if (p5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1218 d = pow5mult(d, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1219 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1220 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1221 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1222 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1223 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1224 else if (p5 < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1225 b = pow5mult(b, -p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1226 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1227 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1228 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1229 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1230 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1231 if (p2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1232 b2 = p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1233 d2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1234 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1235 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1236 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1237 d2 = -p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1238 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1239 i = dshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1240 if ((b2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1241 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1242 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1243 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1244 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1245 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1246 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1247 if ((d2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1248 d = lshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1249 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1250 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1251 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1252 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1253 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1254
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1255 /* Now b/d = exactly half-way between the two floating-point values */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1256 /* on either side of the input string. Compute first digit of b/d. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1257
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1258 if (!(dig = quorem(b,d))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1259 b = multadd(b, 10, 0); /* very unlikely */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1260 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1261 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1262 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1263 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1264 dig = quorem(b,d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1265 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1266
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1267 /* Compare b/d with s0 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1268
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1269 assert(nd > 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1270 dd = 9999; /* silence gcc compiler warning */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1271 for(i = 0; i < nd0; ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1272 if ((dd = s0[i++] - '0' - dig))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1273 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1274 if (!b->x[0] && b->wds == 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1275 if (i < nd)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1276 dd = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1277 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1278 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1279 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1280 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1281 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1282 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1283 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1284 dig = quorem(b,d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1285 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1286 for(j = bc->dp1; i++ < nd;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1287 if ((dd = s0[j++] - '0' - dig))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1288 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1289 if (!b->x[0] && b->wds == 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1290 if (i < nd)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1291 dd = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1292 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1293 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1294 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1295 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1296 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1297 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1298 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1299 dig = quorem(b,d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1300 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1301 if (b->x[0] \|\| b->wds > 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1302 dd = -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1303 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1304 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1305 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1306 if (speccase) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1307 if (dd <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1308 rv->d = 0.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1309 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1310 else if (dd < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1311 if (!dsign) /* does not happen for round-near */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1312 retlow1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1313 dval(rv) -= ulp(rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1314 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1315 else if (dd > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1316 if (dsign) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1317 rethi1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1318 dval(rv) += ulp(rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1319 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1320 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1321 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1322 /* Exact half-way case: apply round-even rule. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1323 if (word1(rv) & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1324 if (dsign)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1325 goto rethi1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1326 goto retlow1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1327 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1328 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1329
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1330 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1331 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1332
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1333 double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1334 _Py_dg_strtod(const char s00, char *se)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1335 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1336 int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, e, e1, error;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1337 int esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1338 const char s, s0, *s1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1339 double aadj, aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1340 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1341 U aadj2, adj, rv, rv0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1342 ULong y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1343 BCinfo bc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1344 Bigint bb, bb1, bd, bd0, bs, delta;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1345
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1346 sign = nz0 = nz = bc.dplen = bc.uflchk = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1347 dval(&rv) = 0.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1348 for(s = s00;;s++) switch(*s) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1349 case '-':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1350 sign = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1351 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1352 case '+':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1353 if (*++s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1354 goto break2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1355 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1356 case 0:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1357 goto ret0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1358 case '\t':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1359 case '\n':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1360 case '\v':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1361 case '\f':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1362 case '\r':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1363 case ' ':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1364 continue;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1365 default:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1366 goto break2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1367 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1368 break2:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1369 if (*s == '0') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1370 nz0 = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1371 while(*++s == '0') ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1372 if (!*s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1373 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1374 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1375 s0 = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1376 y = z = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1377 for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1378 if (nd < 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1379 y = 10*y + c - '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1380 else if (nd < 16)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1381 z = 10*z + c - '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1382 nd0 = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1383 bc.dp0 = bc.dp1 = s - s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1384 if (c == '.') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1385 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1386 bc.dp1 = s - s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1387 bc.dplen = bc.dp1 - bc.dp0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1388 if (!nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1389 for(; c == '0'; c = *++s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1390 nz++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1391 if (c > '0' && c <= '9') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1392 s0 = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1393 nf += nz;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1394 nz = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1395 goto have_dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1396 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1397 goto dig_done;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1398 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1399 for(; c >= '0' && c <= '9'; c = *++s) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1400 have_dig:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1401 nz++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1402 if (c -= '0') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1403 nf += nz;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1404 for(i = 1; i < nz; i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1405 if (nd++ < 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1406 y *= 10;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1407 else if (nd <= DBL_DIG + 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1408 z *= 10;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1409 if (nd++ < 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1410 y = 10*y + c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1411 else if (nd <= DBL_DIG + 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1412 z = 10*z + c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1413 nz = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1414 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1415 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1416 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1417 dig_done:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1418 e = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1419 if (c == 'e' \|\| c == 'E') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1420 if (!nd && !nz && !nz0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1421 goto ret0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1422 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1423 s00 = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1424 esign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1425 switch(c = *++s) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1426 case '-':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1427 esign = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1428 case '+':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1429 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1430 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1431 if (c >= '0' && c <= '9') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1432 while(c == '0')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1433 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1434 if (c > '0' && c <= '9') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1435 L = c - '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1436 s1 = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1437 while((c = *++s) >= '0' && c <= '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1438 L = 10*L + c - '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1439 if (s - s1 > 8 \|\| L > 19999)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1440 /* Avoid confusion from exponents
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1441 * so large that e might overflow.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1442 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1443 e = 19999; /* safe for 16 bit ints */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1444 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1445 e = (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1446 if (esign)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1447 e = -e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1448 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1449 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1450 e = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1451 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1452 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1453 s = s00;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1454 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1455 if (!nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1456 if (!nz && !nz0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1457 /* Check for Nan and Infinity */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1458 if (!bc.dplen)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1459 switch(c) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1460 case 'i':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1461 case 'I':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1462 if (match(&s,"nf")) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1463 --s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1464 if (!match(&s,"inity"))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1465 ++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1466 word0(&rv) = 0x7ff00000;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1467 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1468 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1469 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1470 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1471 case 'n':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1472 case 'N':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1473 if (match(&s, "an")) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1474 word0(&rv) = NAN_WORD0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1475 word1(&rv) = NAN_WORD1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1476 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1477 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1478 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1479 ret0:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1480 s = s00;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1481 sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1482 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1483 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1484 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1485 bc.e0 = e1 = e -= nf;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1486
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1487 /* Now we have nd0 digits, starting at s0, followed by a
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1488 * decimal point, followed by nd-nd0 digits. The number we're
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1489 * after is the integer represented by those digits times
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1490 * 10*e /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1491
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1492 if (!nd0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1493 nd0 = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1494 k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1495 dval(&rv) = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1496 if (k > 9) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1497 dval(&rv) = tens[k - 9] * dval(&rv) + z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1498 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1499 bd0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1500 if (nd <= DBL_DIG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1501 && Flt_Rounds == 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1502 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1503 if (!e)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1504 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1505 if (e > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1506 if (e <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1507 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1508 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1509 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1510 i = DBL_DIG - nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1511 if (e <= Ten_pmax + i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1512 /* A fancier test would sometimes let us do
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1513 * this for larger i values.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1514 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1515 e -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1516 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1517 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1518 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1519 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1520 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1521 else if (e >= -Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1522 dval(&rv) /= tens[-e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1523 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1524 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1525 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1526 e1 += nd - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1527
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1528 bc.scale = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1529
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1530 /* Get starting approximation = rv * 10*e1 /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1531
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1532 if (e1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1533 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1534 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1535 if (e1 &= ~15) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1536 if (e1 > DBL_MAX_10_EXP) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1537 ovfl:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1538 errno = ERANGE;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1539 /* Can't trust HUGE_VAL */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1540 word0(&rv) = Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1541 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1542 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1543 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1544 e1 >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1545 for(j = 0; e1 > 1; j++, e1 >>= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1546 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1547 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1548 /* The last multiplication could overflow. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1549 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1550 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1551 if ((z = word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1552 > Exp_msk1*(DBL_MAX_EXP+Bias-P))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1553 goto ovfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1554 if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1555 /* set to largest number */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1556 /* (Can't trust DBL_MAX) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1557 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1558 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1559 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1560 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1561 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1562 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1563 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1564 else if (e1 < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1565 e1 = -e1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1566 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1567 dval(&rv) /= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1568 if (e1 >>= 4) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1569 if (e1 >= 1 << n_bigtens)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1570 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1571 if (e1 & Scale_Bit)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1572 bc.scale = 2*P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1573 for(j = 0; e1 > 0; j++, e1 >>= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1574 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1575 dval(&rv) *= tinytens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1576 if (bc.scale && (j = 2*P + 1 - ((word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1577 >> Exp_shift)) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1578 /* scaled rv is denormal; clear j low bits */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1579 if (j >= 32) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1580 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1581 if (j >= 53)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1582 word0(&rv) = (P+2)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1583 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1584 word0(&rv) &= 0xffffffff << (j-32);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1585 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1586 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1587 word1(&rv) &= 0xffffffff << j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1588 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1589 if (!dval(&rv)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1590 undfl:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1591 dval(&rv) = 0.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1592 errno = ERANGE;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1593 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1594 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1595 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1596 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1597
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1598 /* Now the hard part -- adjusting rv to the correct value.*/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1599
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1600 /* Put digits into bd: true value = bd * 10^e */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1601
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1602 bc.nd = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1603 bc.nd0 = nd0; /* Only needed if nd > strtod_diglim, but done here */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1604 /* to silence an erroneous warning about bc.nd0 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1605 /* possibly not being initialized. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1606 if (nd > strtod_diglim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1607 /* ASSERT(strtod_diglim >= 18); 18 == one more than the */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1608 /* minimum number of decimal digits to distinguish double values */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1609 /* in IEEE arithmetic. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1610 i = j = 18;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1611 if (i > nd0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1612 j += bc.dplen;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1613 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1614 if (--j <= bc.dp1 && j >= bc.dp0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1615 j = bc.dp0 - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1616 if (s0[j] != '0')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1617 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1618 --i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1619 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1620 e += nd - i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1621 nd = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1622 if (nd0 > nd)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1623 nd0 = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1624 if (nd < 9) { /* must recompute y */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1625 y = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1626 for(i = 0; i < nd0; ++i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1627 y = 10*y + s0[i] - '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1628 for(j = bc.dp1; i < nd; ++i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1629 y = 10*y + s0[j++] - '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1630 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1631 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1632 bd0 = s2b(s0, nd0, nd, y, bc.dplen);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1633 if (bd0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1634 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1635
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1636 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1637 bd = Balloc(bd0->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1638 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1639 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1640 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1641 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1642 Bcopy(bd, bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1643 bb = d2b(&rv, &bbe, &bbbits); /* rv = bb * 2^bbe */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1644 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1645 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1646 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1647 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1648 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1649 bs = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1650 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1651 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1652 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1653 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1654 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1655 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1656
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1657 if (e >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1658 bb2 = bb5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1659 bd2 = bd5 = e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1660 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1661 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1662 bb2 = bb5 = -e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1663 bd2 = bd5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1664 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1665 if (bbe >= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1666 bb2 += bbe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1667 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1668 bd2 -= bbe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1669 bs2 = bb2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1670 j = bbe - bc.scale;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1671 i = j + bbbits - 1; /* logb(rv) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1672 if (i < Emin) /* denormal */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1673 j += P - Emin;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1674 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1675 j = P + 1 - bbbits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1676 bb2 += j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1677 bd2 += j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1678 bd2 += bc.scale;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1679 i = bb2 < bd2 ? bb2 : bd2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1680 if (i > bs2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1681 i = bs2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1682 if (i > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1683 bb2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1684 bd2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1685 bs2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1686 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1687 if (bb5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1688 bs = pow5mult(bs, bb5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1689 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1690 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1691 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1692 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1693 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1694 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1695 bb1 = mult(bs, bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1696 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1697 bb = bb1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1698 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1699 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1700 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1701 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1702 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1703 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1704 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1705 if (bb2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1706 bb = lshift(bb, bb2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1707 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1708 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1709 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1710 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1711 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1712 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1713 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1714 if (bd5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1715 bd = pow5mult(bd, bd5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1716 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1717 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1718 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1719 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1720 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1721 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1722 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1723 if (bd2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1724 bd = lshift(bd, bd2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1725 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1726 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1727 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1728 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1729 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1730 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1731 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1732 if (bs2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1733 bs = lshift(bs, bs2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1734 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1735 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1736 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1737 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1738 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1739 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1740 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1741 delta = diff(bb, bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1742 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1743 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1744 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1745 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1746 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1747 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1748 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1749 bc.dsign = delta->sign;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1750 delta->sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1751 i = cmp(delta, bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1752 if (bc.nd > nd && i <= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1753 if (bc.dsign)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1754 break; /* Must use bigcomp(). */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1755 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1756 bc.nd = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1757 i = -1; /* Discarded digits make delta smaller. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1758 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1759 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1760
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1761 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1762 /* Error is less than half an ulp -- check for
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1763 * special case of mantissa a power of two.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1764 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1765 if (bc.dsign \|\| word1(&rv) \|\| word0(&rv) & Bndry_mask
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1766 \|\| (word0(&rv) & Exp_mask) <= (2P+1)Exp_msk1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1767 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1768 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1769 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1770 if (!delta->x[0] && delta->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1771 /* exact result */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1772 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1773 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1774 delta = lshift(delta,Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1775 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1776 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1777 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1778 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1779 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1780 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1781 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1782 if (cmp(delta, bs) > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1783 goto drop_down;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1784 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1785 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1786 if (i == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1787 /* exactly half-way between */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1788 if (bc.dsign) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1789 if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1790 && word1(&rv) == (
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1791 (bc.scale &&
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1792 (y = word0(&rv) & Exp_mask) <= 2PExp_msk1) ?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1793 (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1794 0xffffffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1795 /boundary case -- increment exponent/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1796 word0(&rv) = (word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1797 + Exp_msk1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1798 ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1799 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1800 bc.dsign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1801 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1802 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1803 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1804 else if (!(word0(&rv) & Bndry_mask) && !word1(&rv)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1805 drop_down:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1806 /* boundary case -- decrement exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1807 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1808 L = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1809 if (L <= (2P+1)Exp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1810 if (L > (P+2)*Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1811 /* round even ==> */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1812 /* accept rv */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1813 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1814 /* rv = smallest denormal */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1815 if (bc.nd >nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1816 bc.uflchk = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1817 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1818 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1819 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1820 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1821 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1822 L = (word0(&rv) & Exp_mask) - Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1823 word0(&rv) = L \| Bndry_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1824 word1(&rv) = 0xffffffff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1825 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1826 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1827 if (!(word1(&rv) & LSB))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1828 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1829 if (bc.dsign)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1830 dval(&rv) += ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1831 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1832 dval(&rv) -= ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1833 if (!dval(&rv)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1834 if (bc.nd >nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1835 bc.uflchk = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1836 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1837 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1838 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1839 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1840 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1841 bc.dsign = 1 - bc.dsign;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1842 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1843 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1844 if ((aadj = ratio(delta, bs)) <= 2.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1845 if (bc.dsign)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1846 aadj = aadj1 = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1847 else if (word1(&rv) \|\| word0(&rv) & Bndry_mask) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1848 if (word1(&rv) == Tiny1 && !word0(&rv)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1849 if (bc.nd >nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1850 bc.uflchk = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1851 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1852 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1853 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1854 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1855 aadj = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1856 aadj1 = -1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1857 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1858 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1859 /* special case -- power of FLT_RADIX to be */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1860 /* rounded down... */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1861
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1862 if (aadj < 2./FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1863 aadj = 1./FLT_RADIX;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1864 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1865 aadj *= 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1866 aadj1 = -aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1867 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1868 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1869 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1870 aadj *= 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1871 aadj1 = bc.dsign ? aadj : -aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1872 if (Flt_Rounds == 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1873 aadj1 += 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1874 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1875 y = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1876
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1877 /* Check for overflow */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1878
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1879 if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1880 dval(&rv0) = dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1881 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1882 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1883 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1884 if ((word0(&rv) & Exp_mask) >=
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1885 Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1886 if (word0(&rv0) == Big0 && word1(&rv0) == Big1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1887 goto ovfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1888 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1889 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1890 goto cont;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1891 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1892 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1893 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1894 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1895 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1896 if (bc.scale && y <= 2PExp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1897 if (aadj <= 0x7fffffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1898 if ((z = (ULong)aadj) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1899 z = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1900 aadj = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1901 aadj1 = bc.dsign ? aadj : -aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1902 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1903 dval(&aadj2) = aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1904 word0(&aadj2) += (2P+1)Exp_msk1 - y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1905 aadj1 = dval(&aadj2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1906 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1907 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1908 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1909 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1910 z = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1911 if (bc.nd == nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1912 if (!bc.scale)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1913 if (y == z) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1914 /* Can we stop now? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1915 L = (Long)aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1916 aadj -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1917 /* The tolerances below are conservative. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1918 if (bc.dsign \|\| word1(&rv) \|\| word0(&rv) & Bndry_mask) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1919 if (aadj < .4999999 \|\| aadj > .5000001)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1920 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1921 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1922 else if (aadj < .4999999/FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1923 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1924 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1925 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1926 cont:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1927 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1928 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1929 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1930 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1931 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1932 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1933 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1934 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1935 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1936 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1937 if (bc.nd > nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1938 error = bigcomp(&rv, s0, &bc);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1939 if (error)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1940 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1941 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1942
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1943 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1944 word0(&rv0) = Exp_1 - 2PExp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1945 word1(&rv0) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1946 dval(&rv) *= dval(&rv0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1947 /* try to avoid the bug of testing an 8087 register value */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1948 if (!(word0(&rv) & Exp_mask))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1949 errno = ERANGE;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1950 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1951 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1952 if (se)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1953 se = (char )s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1954 return sign ? -dval(&rv) : dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1955
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1956 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1957 if (se)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1958 se = (char )s00;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1959 errno = ENOMEM;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1960 return -1.0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1961 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1962
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1963 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1964 rv_alloc(int i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1965 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1966 int j, k, *r;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1967
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1968 j = sizeof(ULong);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1969 for(k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1970 sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= (unsigned)i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1971 j <<= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1972 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1973 r = (int*)Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1974 if (r == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1975 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1976 *r = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1977 return (char *)(r+1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1978 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1979
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1980 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1981 nrv_alloc(char s, char *rve, int n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1982 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1983 char rv, t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1984
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1985 rv = rv_alloc(n);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1986 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1987 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1988 t = rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1989 while((t = s++)) t++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1990 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1991 *rve = t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1992 return rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1993 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1994
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1995 /* freedtoa(s) must be used to free values s returned by dtoa
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1996 * when MULTIPLE_THREADS is #defined. It should be used in all cases,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1997 * but for consistency with earlier versions of dtoa, it is optional
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1998 * when MULTIPLE_THREADS is not defined.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1999 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2001 void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2002 _Py_dg_freedtoa(char *s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2003 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2004 Bigint b = (Bigint )((int *)s - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2005 b->maxwds = 1 << (b->k = (int)b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2006 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2007 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2008
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2009 /* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2010 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2011 * Inspired by "How to Print Floating-Point Numbers Accurately" by
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2012 * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2013 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2014 * Modifications:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2015 * 1. Rather than iterating, we use a simple numeric overestimate
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2016 * to determine k = floor(log10(d)). We scale relevant
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2017 * quantities using O(log2(k)) rather than O(k) multiplications.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2018 * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2019 * try to generate digits strictly left to right. Instead, we
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2020 * compute with fewer bits and propagate the carry if necessary
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2021 * when rounding the final digit up. This is often faster.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2022 * 3. Under the assumption that input will be rounded nearest,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2023 * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2024 * That is, we allow equality in stopping tests when the
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2025 * round-nearest rule will give the same floating-point value
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2026 * as would satisfaction of the stopping test with strict
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2027 * inequality.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2028 * 4. We remove common factors of powers of 2 from relevant
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2029 * quantities.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2030 * 5. When converting floating-point integers less than 1e16,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2031 * we use floating-point arithmetic rather than resorting
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2032 * to multiple-precision integers.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2033 * 6. When asked to produce fewer than 15 digits, we first try
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2034 * to get by with floating-point arithmetic; we resort to
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2035 * multiple-precision integer arithmetic only if we cannot
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2036 * guarantee that the floating-point calculation has given
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2037 * the correctly rounded result. For k requested digits and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2038 * "uniformly" distributed input, the probability is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2039 * something like 10^(k-15) that we must resort to the Long
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2040 * calculation.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2041 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2042
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2043 /* Additional notes (METD): (1) returns NULL on failure. (2) to avoid memory
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2044 leakage, a successful call to _Py_dg_dtoa should always be matched by a
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2045 call to _Py_dg_freedtoa. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2046
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2047 char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2048 _Py_dg_dtoa(double dd, int mode, int ndigits,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2049 int decpt, int sign, char **rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2050 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2051 /* Arguments ndigits, decpt, sign are similar to those
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2052 of ecvt and fcvt; trailing zeros are suppressed from
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2053 the returned string. If not null, *rve is set to point
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2054 to the end of the return value. If d is +-Infinity or NaN,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2055 then *decpt is set to 9999.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2056
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2057 mode:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2058 0 ==> shortest string that yields d when read in
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2059 and rounded to nearest.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2060 1 ==> like 0, but with Steele & White stopping rule;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2061 e.g. with IEEE P754 arithmetic , mode 0 gives
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2062 1e23 whereas mode 1 gives 9.999999999999999e22.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2063 2 ==> max(1,ndigits) significant digits. This gives a
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2064 return value similar to that of ecvt, except
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2065 that trailing zeros are suppressed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2066 3 ==> through ndigits past the decimal point. This
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2067 gives a return value similar to that from fcvt,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2068 except that trailing zeros are suppressed, and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2069 ndigits can be negative.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2070 4,5 ==> similar to 2 and 3, respectively, but (in
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2071 round-nearest mode) with the tests of mode 0 to
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2072 possibly return a shorter string that rounds to d.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2073 With IEEE arithmetic and compilation with
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2074 -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2075 as modes 2 and 3 when FLT_ROUNDS != 1.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2076 6-9 ==> Debugging modes similar to mode - 4: don't try
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2077 fast floating-point estimate (if applicable).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2078
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2079 Values of mode other than 0-9 are treated as mode 0.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2080
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2081 Sufficient space is allocated to the return value
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2082 to hold the suppressed trailing zeros.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2083 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2084
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2085 int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2086 j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2087 spec_case, try_quick;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2088 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2089 int denorm;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2090 ULong x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2091 Bigint b, b1, delta, mlo, mhi, S;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2092 U d2, eps, u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2093 double ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2094 char s, s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2095
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2096 /* set pointers to NULL, to silence gcc compiler warnings and make
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2097 cleanup easier on error */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2098 mlo = mhi = b = S = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2099 s0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2100
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2101 u.d = dd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2102 if (word0(&u) & Sign_bit) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2103 /* set sign for everything, including 0's and NaNs */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2104 *sign = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2105 word0(&u) &= ~Sign_bit; /* clear sign bit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2106 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2107 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2108 *sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2109
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2110 /* quick return for Infinities, NaNs and zeros */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2111 if ((word0(&u) & Exp_mask) == Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2112 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2113 /* Infinity or NaN */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2114 *decpt = 9999;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2115 if (!word1(&u) && !(word0(&u) & 0xfffff))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2116 return nrv_alloc("Infinity", rve, 8);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2117 return nrv_alloc("NaN", rve, 3);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2118 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2119 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2120 *decpt = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2121 return nrv_alloc("0", rve, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2122 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2123
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2124 /* compute k = floor(log10(d)). The computation may leave k
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2125 one too large, but should never leave k too small. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2126 b = d2b(&u, &be, &bbits);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2127 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2128 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2129 if ((i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2130 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2131 word0(&d2) &= Frac_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2132 word0(&d2) \|= Exp_11;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2133
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2134 /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2135 * log10(x) = log(x) / log(10)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2136 * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2137 * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2138 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2139 * This suggests computing an approximation k to log10(d) by
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2140 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2141 * k = (i - Bias)*0.301029995663981
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2142 * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2143 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2144 * We want k to be too large rather than too small.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2145 * The error in the first-order Taylor series approximation
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2146 * is in our favor, so we just round up the constant enough
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2147 * to compensate for any error in the multiplication of
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2148 * (i - Bias) by 0.301029995663981; since \|i - Bias\| <= 1077,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2149 * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2150 * adding 1e-13 to the constant term more than suffices.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2151 * Hence we adjust the constant term to 0.1760912590558.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2152 * (We could get a more accurate k by invoking log10,
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2153 * but this is probably not worthwhile.)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2154 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2155
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2156 i -= Bias;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2157 denorm = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2158 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2159 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2160 /* d is denormalized */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2161
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2162 i = bbits + be + (Bias + (P-1) - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2163 x = i > 32 ? word0(&u) << (64 - i) \| word1(&u) >> (i - 32)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2164 : word1(&u) << (32 - i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2165 dval(&d2) = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2166 word0(&d2) -= 31Exp_msk1; / adjust exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2167 i -= (Bias + (P-1) - 1) + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2168 denorm = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2169 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2170 ds = (dval(&d2)-1.5)*0.289529654602168 + 0.1760912590558 +
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2171 i*0.301029995663981;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2172 k = (int)ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2173 if (ds < 0. && ds != k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2174 k--; /* want k = floor(ds) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2175 k_check = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2176 if (k >= 0 && k <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2177 if (dval(&u) < tens[k])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2178 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2179 k_check = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2180 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2181 j = bbits - i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2182 if (j >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2183 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2184 s2 = j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2185 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2186 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2187 b2 = -j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2188 s2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2189 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2190 if (k >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2191 b5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2192 s5 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2193 s2 += k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2194 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2195 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2196 b2 -= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2197 b5 = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2198 s5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2199 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2200 if (mode < 0 \|\| mode > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2201 mode = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2202
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2203 try_quick = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2204
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2205 if (mode > 5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2206 mode -= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2207 try_quick = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2208 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2209 leftright = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2210 ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2211 /* silence erroneous "gcc -Wall" warning. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2212 switch(mode) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2213 case 0:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2214 case 1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2215 i = 18;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2216 ndigits = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2217 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2218 case 2:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2219 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2220 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2221 case 4:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2222 if (ndigits <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2223 ndigits = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2224 ilim = ilim1 = i = ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2225 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2226 case 3:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2227 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2228 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2229 case 5:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2230 i = ndigits + k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2231 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2232 ilim1 = i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2233 if (i <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2234 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2235 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2236 s0 = rv_alloc(i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2237 if (s0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2238 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2239 s = s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2240
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2241
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2242 if (ilim >= 0 && ilim <= Quick_max && try_quick) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2243
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2244 /* Try to get by with floating-point arithmetic. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2245
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2246 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2247 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2248 k0 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2249 ilim0 = ilim;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2250 ieps = 2; /* conservative */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2251 if (k > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2252 ds = tens[k&0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2253 j = k >> 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2254 if (j & Bletch) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2255 /* prevent overflows */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2256 j &= Bletch - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2257 dval(&u) /= bigtens[n_bigtens-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2258 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2259 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2260 for(; j; j >>= 1, i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2261 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2262 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2263 ds *= bigtens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2264 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2265 dval(&u) /= ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2266 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2267 else if ((j1 = -k)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2268 dval(&u) *= tens[j1 & 0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2269 for(j = j1 >> 4; j; j >>= 1, i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2270 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2271 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2272 dval(&u) *= bigtens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2273 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2274 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2275 if (k_check && dval(&u) < 1. && ilim > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2276 if (ilim1 <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2277 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2278 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2279 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2280 dval(&u) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2281 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2282 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2283 dval(&eps) = ieps*dval(&u) + 7.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2284 word0(&eps) -= (P-1)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2285 if (ilim == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2286 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2287 dval(&u) -= 5.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2288 if (dval(&u) > dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2289 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2290 if (dval(&u) < -dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2291 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2292 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2293 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2294 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2295 /* Use Steele & White method of only
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2296 * generating digits needed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2297 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2298 dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2299 for(i = 0;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2300 L = (Long)dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2301 dval(&u) -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2302 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2303 if (dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2304 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2305 if (1. - dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2306 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2307 if (++i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2308 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2309 dval(&eps) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2310 dval(&u) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2311 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2312 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2313 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2314 /* Generate ilim digits, then fix them up. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2315 dval(&eps) *= tens[ilim-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2316 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2317 L = (Long)(dval(&u));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2318 if (!(dval(&u) -= L))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2319 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2320 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2321 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2322 if (dval(&u) > 0.5 + dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2323 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2324 else if (dval(&u) < 0.5 - dval(&eps)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2325 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2326 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2327 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2328 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2329 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2330 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2331 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2332 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2333 fast_failed:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2334 s = s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2335 dval(&u) = dval(&d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2336 k = k0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2337 ilim = ilim0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2338 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2339
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2340 /* Do we have a "small" integer? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2341
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2342 if (be >= 0 && k <= Int_max) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2343 /* Yes. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2344 ds = tens[k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2345 if (ndigits < 0 && ilim <= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2346 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2347 if (ilim < 0 \|\| dval(&u) <= 5*ds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2348 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2349 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2350 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2351 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2352 L = (Long)(dval(&u) / ds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2353 dval(&u) -= L*ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2354 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2355 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2356 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2357 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2358 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2359 dval(&u) += dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2360 if (dval(&u) > ds \|\| (dval(&u) == ds && L & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2361 bump_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2362 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2363 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2364 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2365 *s = '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2366 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2367 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2368 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2369 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2370 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2371 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2372 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2373 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2374 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2375
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2376 m2 = b2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2377 m5 = b5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2378 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2379 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2380 denorm ? be + (Bias + (P-1) - 1 + 1) :
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2381 1 + P - bbits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2382 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2383 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2384 mhi = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2385 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2386 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2387 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2388 if (m2 > 0 && s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2389 i = m2 < s2 ? m2 : s2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2390 b2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2391 m2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2392 s2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2393 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2394 if (b5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2395 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2396 if (m5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2397 mhi = pow5mult(mhi, m5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2398 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2399 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2400 b1 = mult(mhi, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2401 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2402 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2403 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2404 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2405 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2406 if ((j = b5 - m5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2407 b = pow5mult(b, j);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2408 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2409 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2410 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2411 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2412 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2413 b = pow5mult(b, b5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2414 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2415 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2416 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2417 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2418 S = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2419 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2420 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2421 if (s5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2422 S = pow5mult(S, s5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2423 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2424 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2425 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2426
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2427 /* Check for special case that d is a normalized power of 2. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2428
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2429 spec_case = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2430 if ((mode < 2 \|\| leftright)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2431 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2432 if (!word1(&u) && !(word0(&u) & Bndry_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2433 && word0(&u) & (Exp_mask & ~Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2434 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2435 /* The special case */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2436 b2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2437 s2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2438 spec_case = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2439 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2440 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2441
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2442 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2443 * shift left if necessary so divisor has 4 leading 0 bits.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2444 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2445 * Perhaps we should just compute leading 28 bits of S once
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2446 * and for all and pass them and a shift to quorem, so it
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2447 * can do shifts and ors to compute the numerator for q.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2448 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2449 if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2450 i = 32 - i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2451 #define iInc 28
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2452 i = dshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2453 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2454 m2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2455 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2456 if (b2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2457 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2458 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2459 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2460 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2461 if (s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2462 S = lshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2463 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2464 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2465 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2466 if (k_check) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2467 if (cmp(b,S) < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2468 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2469 b = multadd(b, 10, 0); /* we botched the k estimate */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2470 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2471 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2472 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2473 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2474 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2475 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2476 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2477 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2478 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2479 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2480 if (ilim <= 0 && (mode == 3 \|\| mode == 5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2481 if (ilim < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2482 /* no digits, fcvt style */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2483 no_digits:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2484 k = -1 - ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2485 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2486 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2487 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2488 S = multadd(S, 5, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2489 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2490 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2491 if (cmp(b, S) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2492 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2493 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2494 one_digit:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2495 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2496 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2497 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2498 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2499 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2500 if (m2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2501 mhi = lshift(mhi, m2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2502 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2503 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2504 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2505
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2506 /* Compute mlo -- check for special case
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2507 * that d is a normalized power of 2.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2508 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2509
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2510 mlo = mhi;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2511 if (spec_case) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2512 mhi = Balloc(mhi->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2513 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2514 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2515 Bcopy(mhi, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2516 mhi = lshift(mhi, Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2517 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2518 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2519 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2520
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2521 for(i = 1;;i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2522 dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2523 /* Do we yet have the shortest decimal string
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2524 * that will round to d?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2525 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2526 j = cmp(b, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2527 delta = diff(S, mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2528 if (delta == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2529 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2530 j1 = delta->sign ? 1 : cmp(b, delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2531 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2532 if (j1 == 0 && mode != 1 && !(word1(&u) & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2533 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2534 if (dig == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2535 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2536 if (j > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2537 dig++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2538 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2539 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2540 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2541 if (j < 0 \|\| (j == 0 && mode != 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2542 && !(word1(&u) & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2543 )) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2544 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2545 goto accept_dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2546 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2547 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2548 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2549 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2550 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2551 j1 = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2552 if ((j1 > 0 \|\| (j1 == 0 && dig & 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2553 && dig++ == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2554 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2555 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2556 accept_dig:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2557 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2558 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2559 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2560 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2561 if (dig == '9') { /* possible if i == 1 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2562 round_9_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2563 *s++ = '9';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2564 goto roundoff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2565 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2566 *s++ = dig + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2567 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2568 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2569 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2570 if (i == ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2571 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2572 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2573 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2574 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2575 if (mlo == mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2576 mlo = mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2577 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2578 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2579 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2580 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2581 mlo = multadd(mlo, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2582 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2583 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2584 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2585 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2586 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2587 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2588 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2589 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2590 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2591 for(i = 1;; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2592 *s++ = dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2593 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2594 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2595 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2596 if (i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2597 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2598 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2599 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2600 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2601 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2602
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2603 /* Round off last digit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2604
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2605 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2606 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2607 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2608 j = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2609 if (j > 0 \|\| (j == 0 && dig & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2610 roundoff:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2611 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2612 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2613 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2614 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2615 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2616 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2617 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2618 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2619 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2620 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2621 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2622 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2623 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2624 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2625 if (mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2626 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2627 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2628 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2629 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2630 ret1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2631 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2632 *s = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2633 *decpt = k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2634 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2635 *rve = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2636 return s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2637 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2638 if (S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2639 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2640 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2641 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2642 if (mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2643 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2644 if (b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2645 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2646 if (s0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2647 _Py_dg_freedtoa(s0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2648 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2649 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2650 #ifdef __cplusplus
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2651 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2652 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2653
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2654 #endif /* PY_NO_SHORT_FLOAT_REPR */

Mercurial > cpython-lru_cache-weakref

annotate Python/dtoa.c @ 53207:fe99a562b708