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

annotate Python/dtoa.c @ 87686:07425df887b5 3.3

Fixes issue #15798: subprocess.Popen() no longer fails if file descriptor 0, 1 or 2 is closed. The errpipe_write fd will always be >= 3.

author	Gregory P. Smith <greg@krypto.org>
date	Sun, 01 Dec 2013 17:27:40 -0800
parents	eac133e13bb5
children

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 *
53707 13a82a710f19 Issue #5914: Add new C-API function PyOS_string_to_double, to complement Mark Dickinson <dickinsm@gmail.com> parents: 53207 diff changeset	64 * 7. _Py_dg_strtod has been modified so that it doesn't accept strings with
13a82a710f19 Issue #5914: Add new C-API function PyOS_string_to_double, to complement Mark Dickinson <dickinsm@gmail.com> parents: 53207 diff changeset	65 * leading whitespace.
13a82a710f19 Issue #5914: Add new C-API function PyOS_string_to_double, to complement Mark Dickinson <dickinsm@gmail.com> parents: 53207 diff changeset	66 *
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	67 ***************************************************************/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	68
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	69 /* 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	70 * 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	71 * 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	72 * (http://bugs.python.org). */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	73
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	74 /* 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	75 * 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	76 * 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	77 * of) Intel 80x87 arithmetic, the call
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	78 * _control87(PC_53, MCW_PC);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	79 * 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	80 * 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	81 * 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	82 * file.
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	85 /* 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	86 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	87 * 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	88 * 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	89 * 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	90 * biased rounding (add half and chop).
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 * 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	93 * 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	94 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	95 * Modifications:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	96 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	97 * 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	98 * arithmetic (not IEEE double-extended).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	99 * 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	100 * 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	101 * 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	102 * 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	103 * 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	104 * 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	105 * 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	106 * 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	107 * arithmetic to determine the adjustment to within
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	108 * 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	109 * compute a second residual.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	110 * 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	111 * 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	112 * for 0 <= k <= 22).
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	115 /* 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	116
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	117 #include "Python.h"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	118
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	119 /* 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	120 the following code */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	121 #ifndef PY_NO_SHORT_FLOAT_REPR
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	122
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	123 #include "float.h"
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 #define MALLOC PyMem_Malloc
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	126 #define FREE PyMem_Free
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	127
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	128 /* 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	129 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	130 order, 0 being the least significant byte). */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	131 #ifdef DOUBLE_IS_LITTLE_ENDIAN_IEEE754
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	132 # define IEEE_8087
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	133 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	134 #if defined(DOUBLE_IS_BIG_ENDIAN_IEEE754) \|\| \
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	135 defined(DOUBLE_IS_ARM_MIXED_ENDIAN_IEEE754)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	136 # define IEEE_MC68k
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 #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	139 #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	140 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	141
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	142 /* 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	143 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	144 #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	145 defined(DOUBLE_IS_ARM_MIXED_ENDIAN_IEEE754))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	146 #error "doubles and ints have incompatible endianness"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	147 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	148
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	149 #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	150 #error "doubles and ints have incompatible endianness"
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	151 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	152
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	153
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	154 #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	155 typedef PY_UINT32_T ULong;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	156 typedef PY_INT32_T Long;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	157 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	158 #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	159 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	160
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	161 #if defined(HAVE_UINT64_T)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	162 #define ULLong PY_UINT64_T
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	163 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	164 #undef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	165 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	166
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	167 #undef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	168 #ifdef Py_DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	169 #define DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	170 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	171
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	172 /* End Python #define linking */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	173
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	174 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	175 #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	176 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	177
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	178 #ifndef PRIVATE_MEM
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	179 #define PRIVATE_MEM 2304
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	180 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	181 #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	182 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	183
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	184 #ifdef __cplusplus
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	185 extern "C" {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	186 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	187
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	188 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	189
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	190 #ifdef IEEE_8087
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	191 #define word0(x) (x)->L[1]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	192 #define word1(x) (x)->L[0]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	193 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	194 #define word0(x) (x)->L[0]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	195 #define word1(x) (x)->L[1]
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	196 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	197 #define dval(x) (x)->d
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	198
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	199 #ifndef STRTOD_DIGLIM
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	200 #define STRTOD_DIGLIM 40
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	201 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	202
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	203 /* maximum permitted exponent value for strtod; exponents larger than
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	204 MAX_ABS_EXP in absolute value get truncated to +-MAX_ABS_EXP. MAX_ABS_EXP
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	205 should fit into an int. */
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	206 #ifndef MAX_ABS_EXP
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	207 #define MAX_ABS_EXP 1100000000U
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	208 #endif
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	209 /* Bound on length of pieces of input strings in _Py_dg_strtod; specifically,
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	210 this is used to bound the total number of digits ignoring leading zeros and
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	211 the number of digits that follow the decimal point. Ideally, MAX_DIGITS
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	212 should satisfy MAX_DIGITS + 400 < MAX_ABS_EXP; that ensures that the
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	213 exponent clipping in _Py_dg_strtod can't affect the value of the output. */
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	214 #ifndef MAX_DIGITS
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	215 #define MAX_DIGITS 1000000000U
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	216 #endif
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	217
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	218 /* Guard against trying to use the above values on unusual platforms with ints
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	219 * of width less than 32 bits. */
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	220 #if MAX_ABS_EXP > INT_MAX
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	221 #error "MAX_ABS_EXP should fit in an int"
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	222 #endif
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	223 #if MAX_DIGITS > INT_MAX
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	224 #error "MAX_DIGITS should fit in an int"
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	225 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	226
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	227 /* 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	228 * 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	229 * #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	230 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	231 #if defined(IEEE_8087)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	232 #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	233 ((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	234 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	235 #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	236 ((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	237 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	238
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	239 /* #define P DBL_MANT_DIG */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	240 /* Ten_pmax = floor(Plog(2)/log(5)) /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	241 /* 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	242 /* 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	243 /* 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	244
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	245 #define Exp_shift 20
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	246 #define Exp_shift1 20
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	247 #define Exp_msk1 0x100000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	248 #define Exp_msk11 0x100000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	249 #define Exp_mask 0x7ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	250 #define P 53
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	251 #define Nbits 53
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	252 #define Bias 1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	253 #define Emax 1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	254 #define Emin (-1022)
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	255 #define Etiny (-1074) /* smallest denormal is 2*Etiny /
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	256 #define Exp_1 0x3ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	257 #define Exp_11 0x3ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	258 #define Ebits 11
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	259 #define Frac_mask 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	260 #define Frac_mask1 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	261 #define Ten_pmax 22
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	262 #define Bletch 0x10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	263 #define Bndry_mask 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	264 #define Bndry_mask1 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	265 #define Sign_bit 0x80000000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	266 #define Log2P 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	267 #define Tiny0 0
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	268 #define Tiny1 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	269 #define Quick_max 14
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	270 #define Int_max 14
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 #ifndef Flt_Rounds
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	273 #ifdef FLT_ROUNDS
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	274 #define Flt_Rounds FLT_ROUNDS
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	275 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	276 #define Flt_Rounds 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	277 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	278 #endif /Flt_Rounds/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	279
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	280 #define Rounding Flt_Rounds
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 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	283 #define Big1 0xffffffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	284
76629 c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	285 /* Standard NaN used by _Py_dg_stdnan. */
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	286
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	287 #define NAN_WORD0 0x7ff80000
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	288 #define NAN_WORD1 0
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	289
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	290 /* Bits of the representation of positive infinity. */
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	291
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	292 #define POSINF_WORD0 0x7ff00000
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	293 #define POSINF_WORD1 0
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	294
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	295 /* 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	296
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	297 typedef struct BCinfo BCinfo;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	298 struct
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	299 BCinfo {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	300 int e0, nd, nd0, scale;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	301 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	302
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	303 #define FFFFFFFF 0xffffffffUL
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	304
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	305 #define Kmax 7
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 /* 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	308 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	309 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	310 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	311
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	312 The Bigint fields are as follows:
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 - 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	315 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	316 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	317 - 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	318 - 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	319 (usually maxwds == 2**k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	320 - 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	321 (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	322 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	323 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	324 - 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	325 - 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	326 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	327 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	328
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	329 struct
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	330 Bigint {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	331 struct Bigint *next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	332 int k, maxwds, sign, wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	333 ULong x[1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	334 };
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 typedef struct Bigint Bigint;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	337
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	338 #ifndef Py_USING_MEMORY_DEBUGGER
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	339
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	340 /* 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	341 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	342 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	343 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	344
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	345 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	346 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	347 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	348 in preference to using MALLOC.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	349
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	350 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	351 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	352 FREE.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	353
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	354 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	355 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	356 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	357 performance on impact. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	358
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	359 static Bigint *freelist[Kmax+1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	360
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	361 /* 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	362
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	363 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	364 Balloc(int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	365 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	366 int x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	367 Bigint *rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	368 unsigned int len;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	369
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	370 if (k <= Kmax && (rv = freelist[k]))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	371 freelist[k] = rv->next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	372 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	373 x = 1 << k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	374 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	375 /sizeof(double);
53203 ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	376 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	377 rv = (Bigint*)pmem_next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	378 pmem_next += len;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	379 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	380 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	381 rv = (Bigint)MALLOC(lensizeof(double));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	382 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	383 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	384 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	385 rv->k = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	386 rv->maxwds = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	387 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	388 rv->sign = rv->wds = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	389 return rv;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	392 /* Free a Bigint allocated with Balloc */
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 static void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	395 Bfree(Bigint *v)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	396 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	397 if (v) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	398 if (v->k > Kmax)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	399 FREE((void*)v);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	400 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	401 v->next = freelist[v->k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	402 freelist[v->k] = v;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	405 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	406
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	407 #else
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	408
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	409 /* Alternative versions of Balloc and Bfree that use PyMem_Malloc and
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	410 PyMem_Free directly in place of the custom memory allocation scheme above.
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	411 These are provided for the benefit of memory debugging tools like
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	412 Valgrind. */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	413
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	414 /* Allocate space for a Bigint with up to 1<<k digits */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	415
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	416 static Bigint *
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	417 Balloc(int k)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	418 {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	419 int x;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	420 Bigint *rv;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	421 unsigned int len;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	422
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	423 x = 1 << k;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	424 len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	425 /sizeof(double);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	426
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	427 rv = (Bigint)MALLOC(lensizeof(double));
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	428 if (rv == NULL)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	429 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	430
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	431 rv->k = k;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	432 rv->maxwds = x;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	433 rv->sign = rv->wds = 0;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	434 return rv;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	435 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	436
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	437 /* Free a Bigint allocated with Balloc */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	438
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	439 static void
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	440 Bfree(Bigint *v)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	441 {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	442 if (v) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	443 FREE((void*)v);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	444 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	445 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	446
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	447 #endif /* Py_USING_MEMORY_DEBUGGER */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	448
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	449 #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	450 y->wdssizeof(Long) + 2sizeof(int))
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 /* 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	453 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	454 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	455
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	456 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	457 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	458 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	459 int i, wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	460 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	461 ULong *x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	462 ULLong carry, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	463 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	464 ULong carry, *x, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	465 ULong xi, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	466 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	467 Bigint *b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	468
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	469 wds = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	470 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	471 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	472 carry = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	473 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	474 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	475 y = x (ULLong)m + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	476 carry = y >> 32;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	477 *x++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	478 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	479 xi = *x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	480 y = (xi & 0xffff) * m + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	481 z = (xi >> 16) * m + (y >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	482 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	483 *x++ = (z << 16) + (y & 0xffff);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	484 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	485 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	486 while(++i < wds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	487 if (carry) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	488 if (wds >= b->maxwds) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	489 b1 = Balloc(b->k+1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	490 if (b1 == NULL){
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	491 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	492 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	493 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	494 Bcopy(b1, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	495 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	496 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	497 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	498 b->x[wds++] = (ULong)carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	499 b->wds = wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	500 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	501 return b;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	504 /* 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	505 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	506 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	507 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	508 NULL on failure. */
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 static Bigint *
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	511 s2b(const char *s, int nd0, int nd, ULong y9)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	512 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	513 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	514 int i, k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	515 Long x, 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 x = (nd + 8) / 9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	518 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	519 b = Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	520 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	521 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	522 b->x[0] = y9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	523 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	524
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	525 if (nd <= 9)
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	526 return b;
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	527
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	528 s += 9;
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	529 for (i = 9; i < nd0; i++) {
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	530 b = multadd(b, 10, *s++ - '0');
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	531 if (b == NULL)
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	532 return NULL;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	533 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	534 s++;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	535 for(; i < nd; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	536 b = multadd(b, 10, *s++ - '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	537 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	538 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	539 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	540 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	541 }
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 /* 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	544
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	545 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	546 hi0bits(ULong x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	547 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	548 int k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	549
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	550 if (!(x & 0xffff0000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	551 k = 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	552 x <<= 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	553 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	554 if (!(x & 0xff000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	555 k += 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	556 x <<= 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	557 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	558 if (!(x & 0xf0000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	559 k += 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	560 x <<= 4;
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 if (!(x & 0xc0000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	563 k += 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	564 x <<= 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	565 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	566 if (!(x & 0x80000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	567 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	568 if (!(x & 0x40000000))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	569 return 32;
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 return k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	572 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	573
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	574 /* 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	575 number of bits. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	576
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	577 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	578 lo0bits(ULong *y)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	579 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	580 int k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	581 ULong x = *y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	582
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	583 if (x & 7) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	584 if (x & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	585 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	586 if (x & 2) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	587 *y = x >> 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	588 return 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	589 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	590 *y = x >> 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	591 return 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	592 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	593 k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	594 if (!(x & 0xffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	595 k = 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	596 x >>= 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	597 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	598 if (!(x & 0xff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	599 k += 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	600 x >>= 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	601 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	602 if (!(x & 0xf)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	603 k += 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	604 x >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	605 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	606 if (!(x & 0x3)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	607 k += 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	608 x >>= 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	609 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	610 if (!(x & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	611 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	612 x >>= 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	613 if (!x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	614 return 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	615 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	616 *y = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	617 return k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	618 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	619
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	620 /* 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	621
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	622 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	623 i2b(int i)
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 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	626
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	627 b = Balloc(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	628 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	629 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	630 b->x[0] = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	631 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	632 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	633 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	634
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	635 /* 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	636 the signs of a and b. */
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 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	639 mult(Bigint a, Bigint b)
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 Bigint *c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	642 int k, wa, wb, wc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	643 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	644 ULong y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	645 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	646 ULLong carry, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	647 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	648 ULong carry, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	649 ULong z2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	650 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	651
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	652 if ((!a->x[0] && a->wds == 1) \|\| (!b->x[0] && b->wds == 1)) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	653 c = Balloc(0);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	654 if (c == NULL)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	655 return NULL;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	656 c->wds = 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	657 c->x[0] = 0;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	658 return c;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	659 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	660
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	661 if (a->wds < b->wds) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	662 c = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	663 a = b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	664 b = c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	665 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	666 k = a->k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	667 wa = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	668 wb = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	669 wc = wa + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	670 if (wc > a->maxwds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	671 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	672 c = Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	673 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	674 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	675 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	676 *x = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	677 xa = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	678 xae = xa + wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	679 xb = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	680 xbe = xb + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	681 xc0 = c->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	682 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	683 for(; xb < xbe; xc0++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	684 if ((y = *xb++)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	685 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	686 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	687 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	688 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	689 z = x++ (ULLong)y + *xc + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	690 carry = z >> 32;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	691 *xc++ = (ULong)(z & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	692 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	693 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	694 *xc = (ULong)carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	695 }
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 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	698 for(; xb < xbe; xb++, xc0++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	699 if (y = *xb & 0xffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	700 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	701 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	702 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	703 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	704 z = (x & 0xffff) y + (*xc & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	705 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	706 z2 = (x++ >> 16) y + (*xc >> 16) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	707 carry = z2 >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	708 Storeinc(xc, z2, z);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	709 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	710 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	711 *xc = carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	712 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	713 if (y = *xb >> 16) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	714 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	715 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	716 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	717 z2 = *xc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	718 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	719 z = (x & 0xffff) y + (*xc >> 16) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	720 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	721 Storeinc(xc, z, z2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	722 z2 = (x++ >> 16) y + (*xc & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	723 carry = z2 >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	724 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	725 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	726 *xc = z2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	727 }
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 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	730 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	731 c->wds = wc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	732 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	733 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	734
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	735 #ifndef Py_USING_MEMORY_DEBUGGER
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	736
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	737 /* 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	738
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	739 static Bigint *p5s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	740
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	741 /* 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	742 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	743 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	744
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	745 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	746 pow5mult(Bigint *b, int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	747 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	748 Bigint b1, p5, *p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	749 int i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	750 static int p05[3] = { 5, 25, 125 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	751
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	752 if ((i = k & 3)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	753 b = multadd(b, p05[i-1], 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	754 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	755 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	756 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	757
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	758 if (!(k >>= 2))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	759 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	760 p5 = p5s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	761 if (!p5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	762 /* first time */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	763 p5 = i2b(625);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	764 if (p5 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	765 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	766 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	767 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	768 p5s = p5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	769 p5->next = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	770 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	771 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	772 if (k & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	773 b1 = mult(b, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	774 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	775 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	776 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	777 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	778 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	779 if (!(k >>= 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	780 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	781 p51 = p5->next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	782 if (!p51) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	783 p51 = mult(p5,p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	784 if (p51 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	785 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	786 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	787 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	788 p51->next = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	789 p5->next = p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	790 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	791 p5 = p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	792 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	793 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	794 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	795
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	796 #else
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	797
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	798 /* Version of pow5mult that doesn't cache powers of 5. Provided for
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	799 the benefit of memory debugging tools like Valgrind. */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	800
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	801 static Bigint *
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	802 pow5mult(Bigint *b, int k)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	803 {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	804 Bigint b1, p5, *p51;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	805 int i;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	806 static int p05[3] = { 5, 25, 125 };
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	807
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	808 if ((i = k & 3)) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	809 b = multadd(b, p05[i-1], 0);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	810 if (b == NULL)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	811 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	812 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	813
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	814 if (!(k >>= 2))
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	815 return b;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	816 p5 = i2b(625);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	817 if (p5 == NULL) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	818 Bfree(b);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	819 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	820 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	821
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	822 for(;;) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	823 if (k & 1) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	824 b1 = mult(b, p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	825 Bfree(b);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	826 b = b1;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	827 if (b == NULL) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	828 Bfree(p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	829 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	830 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	831 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	832 if (!(k >>= 1))
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	833 break;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	834 p51 = mult(p5, p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	835 Bfree(p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	836 p5 = p51;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	837 if (p5 == NULL) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	838 Bfree(b);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	839 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	840 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	841 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	842 Bfree(p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	843 return b;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	844 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	845
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	846 #endif /* Py_USING_MEMORY_DEBUGGER */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	847
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	848 /* 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	849 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	850 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	851
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	852 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	853 lshift(Bigint *b, int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	854 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	855 int i, k1, n, n1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	856 Bigint *b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	857 ULong x, x1, *xe, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	858
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	859 if (!k \|\| (!b->x[0] && b->wds == 1))
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	860 return b;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	861
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	862 n = k >> 5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	863 k1 = b->k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	864 n1 = n + b->wds + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	865 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	866 k1++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	867 b1 = Balloc(k1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	868 if (b1 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	869 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	870 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	871 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	872 x1 = b1->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	873 for(i = 0; i < n; i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	874 *x1++ = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	875 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	876 xe = x + b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	877 if (k &= 0x1f) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	878 k1 = 32 - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	879 z = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	880 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	881 x1++ = x << k \| z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	882 z = *x++ >> k1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	883 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	884 while(x < xe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	885 if ((*x1 = z))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	886 ++n1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	887 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	888 else do
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	889 x1++ = x++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	890 while(x < xe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	891 b1->wds = n1 - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	892 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	893 return b1;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	896 /* 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	897 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	898
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	899 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	900 cmp(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	901 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	902 ULong xa, xa0, xb, xb0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	903 int i, j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	904
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	905 i = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	906 j = b->wds;
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 (i > 1 && !a->x[i-1])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	909 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	910 if (j > 1 && !b->x[j-1])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	911 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	912 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	913 if (i -= j)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	914 return i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	915 xa0 = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	916 xa = xa0 + j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	917 xb0 = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	918 xb = xb0 + j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	919 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	920 if (--xa != --xb)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	921 return xa < xb ? -1 : 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	922 if (xa <= xa0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	923 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	924 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	925 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	926 }
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 /* 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	929 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	930 result is set appropriately. */
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 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	933 diff(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	934 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	935 Bigint *c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	936 int i, wa, wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	937 ULong xa, xae, xb, xbe, *xc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	938 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	939 ULLong borrow, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	940 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	941 ULong borrow, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	942 ULong z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	943 #endif
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 i = cmp(a,b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	946 if (!i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	947 c = Balloc(0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	948 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	949 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	950 c->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	951 c->x[0] = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	952 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	953 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	954 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	955 c = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	956 a = b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	957 b = c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	958 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	959 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	960 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	961 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	962 c = Balloc(a->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	963 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	964 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	965 c->sign = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	966 wa = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	967 xa = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	968 xae = xa + wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	969 wb = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	970 xb = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	971 xbe = xb + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	972 xc = c->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	973 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	974 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	975 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	976 y = (ULLong)xa++ - xb++ - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	977 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	978 *xc++ = (ULong)(y & FFFFFFFF);
53185 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 while(xb < xbe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	981 while(xa < xae) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	982 y = *xa++ - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	983 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	984 *xc++ = (ULong)(y & FFFFFFFF);
53185 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 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	987 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	988 y = (xa & 0xffff) - (xb & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	989 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	990 z = (xa++ >> 16) - (xb++ >> 16) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	991 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	992 Storeinc(xc, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	993 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	994 while(xb < xbe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	995 while(xa < xae) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	996 y = (*xa & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	997 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	998 z = (*xa++ >> 16) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	999 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1000 Storeinc(xc, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1001 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1002 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1003 while(!*--xc)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1004 wa--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1005 c->wds = wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1006 return c;
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
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1009 /* Given a positive normal double x, return the difference between x and the
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1010 next double up. Doesn't give correct results for subnormals. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1011
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1012 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1013 ulp(U *x)
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 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1016 U u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1017
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1018 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	1019 word0(&u) = L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1020 word1(&u) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1021 return dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1022 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1024 /* 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	1025
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1026 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1027 b2d(Bigint a, int e)
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 ULong xa, xa0, w, y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1030 int k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1031 U d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1032
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1033 xa0 = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1034 xa = xa0 + a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1035 y = *--xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1036 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1037 if (!y) Bug("zero y in b2d");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1038 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1039 k = hi0bits(y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1040 *e = 32 - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1041 if (k < Ebits) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1042 word0(&d) = Exp_1 \| y >> (Ebits - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1043 w = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1044 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	1045 goto ret_d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1046 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1047 z = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1048 if (k -= Ebits) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1049 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	1050 y = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1051 word1(&d) = z << k \| y >> (32 - k);
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1054 word0(&d) = Exp_1 \| y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1055 word1(&d) = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1056 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1057 ret_d:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1058 return dval(&d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1059 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1060
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1061 /* Convert a scaled double to a Bigint plus an exponent. Similar to d2b,
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1062 except that it accepts the scale parameter used in _Py_dg_strtod (which
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1063 should be either 0 or 2*P), and the normalization for the return value is
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1064 different (see below). On input, d should be finite and nonnegative, and d
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1065 / 2**scale should be exactly representable as an IEEE 754 double.
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1066
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1067 Returns a Bigint b and an integer e such that
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1068
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1069 dval(d) / 2*scale = b 2**e.
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1070
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1071 Unlike d2b, b is not necessarily odd: b and e are normalized so
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1072 that either 2(P-1) <= b < 2P and e >= Etiny, or b < 2**P
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1073 and e == Etiny. This applies equally to an input of 0.0: in that
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1074 case the return values are b = 0 and e = Etiny.
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1075
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1076 The above normalization ensures that for all possible inputs d,
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1077 2e gives ulp(d/2scale).
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1078
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1079 Returns NULL on failure.
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1080 */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1081
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1082 static Bigint *
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1083 sd2b(U d, int scale, int e)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1084 {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1085 Bigint *b;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1086
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1087 b = Balloc(1);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1088 if (b == NULL)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1089 return NULL;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1090
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1091 /* First construct b and e assuming that scale == 0. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1092 b->wds = 2;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1093 b->x[0] = word1(d);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1094 b->x[1] = word0(d) & Frac_mask;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1095 *e = Etiny - 1 + (int)((word0(d) & Exp_mask) >> Exp_shift);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1096 if (*e < Etiny)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1097 *e = Etiny;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1098 else
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1099 b->x[1] \|= Exp_msk1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1100
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1101 /* Now adjust for scale, provided that b != 0. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1102 if (scale && (b->x[0] \|\| b->x[1])) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1103 *e -= scale;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1104 if (*e < Etiny) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1105 scale = Etiny - *e;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1106 *e = Etiny;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1107 /* We can't shift more than P-1 bits without shifting out a 1. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1108 assert(0 < scale && scale <= P - 1);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1109 if (scale >= 32) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1110 /* The bits shifted out should all be zero. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1111 assert(b->x[0] == 0);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1112 b->x[0] = b->x[1];
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1113 b->x[1] = 0;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1114 scale -= 32;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1115 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1116 if (scale) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1117 /* The bits shifted out should all be zero. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1118 assert(b->x[0] << (32 - scale) == 0);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1119 b->x[0] = (b->x[0] >> scale) \| (b->x[1] << (32 - scale));
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1120 b->x[1] >>= scale;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1121 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1122 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1123 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1124 /* Ensure b is normalized. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1125 if (!b->x[1])
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1126 b->wds = 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1127
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1128 return b;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1129 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1130
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1131 /* 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	1132
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1133 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	1134 such that fabs(d) = b * 2*e. On return, bbits gives the number of
58154 70f6fa3084e6 Merged revisions 77304 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 54232 diff changeset	1135 significant bits of b; that is, 2*(bbits-1) <= b < 2*(bbits).
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1136
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1137 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	1138 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1139
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1140 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1141 d2b(U d, int e, int *bits)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1142 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1143 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1144 int de, k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1145 ULong *x, y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1146 int i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1147
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1148 b = Balloc(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1149 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1150 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1151 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1152
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1153 z = word0(d) & Frac_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1154 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	1155 if ((de = (int)(word0(d) >> Exp_shift)))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1156 z \|= Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1157 if ((y = word1(d))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1158 if ((k = lo0bits(&y))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1159 x[0] = y \| z << (32 - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1160 z >>= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1161 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1162 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1163 x[0] = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1164 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1165 b->wds = (x[1] = z) ? 2 : 1;
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1168 k = lo0bits(&z);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1169 x[0] = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1170 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1171 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1172 k += 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1173 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1174 if (de) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1175 *e = de - Bias - (P-1) + k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1176 *bits = P - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1177 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1178 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1179 *e = de - Bias - (P-1) + 1 + k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1180 bits = 32i - hi0bits(x[i-1]);
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 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1183 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1184
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1185 /* 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	1186 error of up to 2.5 ulps. */
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 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1189 ratio(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1190 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1191 U da, db;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1192 int k, ka, kb;
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 dval(&da) = b2d(a, &ka);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1195 dval(&db) = b2d(b, &kb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1196 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	1197 if (k > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1198 word0(&da) += k*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1199 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1200 k = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1201 word0(&db) += k*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1202 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1203 return dval(&da) / dval(&db);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1204 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1205
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1206 static const double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1207 tens[] = {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1208 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	1209 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	1210 1e20, 1e21, 1e22
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1211 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1212
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1213 static const double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1214 bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1215 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	1216 9007199254740992.*9007199254740992.e-256
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1217 /* = 2^106 * 1e-256 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1218 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1219 /* 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	1220 /* 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	1221 #define Scale_Bit 0x10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1222 #define n_bigtens 5
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 #define ULbits 32
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1225 #define kshift 5
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1226 #define kmask 31
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1227
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1228
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1229 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1230 dshift(Bigint *b, int p2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1231 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1232 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	1233 if (p2 > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1234 rv -= p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1235 return rv & kmask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1236 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1237
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1238 /* 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	1239 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	1240 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	1241
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1242 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1243 quorem(Bigint b, Bigint S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1244 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1245 int n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1246 ULong bx, bxe, q, sx, sxe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1247 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1248 ULLong borrow, carry, y, ys;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1249 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1250 ULong borrow, carry, y, ys;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1251 ULong si, z, zs;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1252 #endif
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 n = S->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1255 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1256 /debug/ if (b->wds > n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1257 /debug/ Bug("oversize b in quorem");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1258 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1259 if (b->wds < n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1260 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1261 sx = S->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1262 sxe = sx + --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1263 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1264 bxe = bx + n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1265 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	1266 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1267 /debug/ if (q > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1268 /debug/ Bug("oversized quotient in quorem");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1269 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1270 if (q) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1271 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1272 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1273 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1274 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1275 ys = sx++ (ULLong)q + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1276 carry = ys >> 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1277 y = *bx - (ys & FFFFFFFF) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1278 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	1279 *bx++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1280 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1281 si = *sx++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1282 ys = (si & 0xffff) * q + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1283 zs = (si >> 16) * q + (ys >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1284 carry = zs >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1285 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1286 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1287 z = (*bx >> 16) - (zs & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1288 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1289 Storeinc(bx, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1290 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1291 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1292 while(sx <= sxe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1293 if (!*bxe) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1294 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1295 while(--bxe > bx && !*bxe)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1296 --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1297 b->wds = n;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1300 if (cmp(b, S) >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1301 q++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1302 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1303 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1304 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1305 sx = S->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1306 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1307 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1308 ys = *sx++ + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1309 carry = ys >> 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1310 y = *bx - (ys & FFFFFFFF) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1311 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	1312 *bx++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1313 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1314 si = *sx++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1315 ys = (si & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1316 zs = (si >> 16) + (ys >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1317 carry = zs >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1318 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1319 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1320 z = (*bx >> 16) - (zs & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1321 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1322 Storeinc(bx, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1323 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1324 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1325 while(sx <= sxe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1326 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1327 bxe = bx + n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1328 if (!*bxe) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1329 while(--bxe > bx && !*bxe)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1330 --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1331 b->wds = n;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1334 return q;
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
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1337 /* sulp(x) is a version of ulp(x) that takes bc.scale into account.
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1338
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1339 Assuming that x is finite and nonnegative (positive zero is fine
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1340 here) and x / 2^bc.scale is exactly representable as a double,
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1341 sulp(x) is equivalent to 2^bc.scale * ulp(x / 2^bc.scale). */
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1342
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1343 static double
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1344 sulp(U x, BCinfo bc)
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1345 {
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1346 U u;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1347
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1348 if (bc->scale && 2*P + 1 > (int)((word0(x) & Exp_mask) >> Exp_shift)) {
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1349 /* rv/2^bc->scale is subnormal */
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1350 word0(&u) = (P+2)*Exp_msk1;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1351 word1(&u) = 0;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1352 return u.d;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1353 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1354 else {
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1355 assert(word0(x) \|\| word1(x)); /* x != 0.0 */
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1356 return ulp(x);
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1357 }
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1358 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1359
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1360 /* The bigcomp function handles some hard cases for strtod, for inputs
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1361 with more than STRTOD_DIGLIM digits. It's called once an initial
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1362 estimate for the double corresponding to the input string has
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1363 already been obtained by the code in _Py_dg_strtod.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1364
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1365 The bigcomp function is only called after _Py_dg_strtod has found a
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1366 double value rv such that either rv or rv + 1ulp represents the
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1367 correctly rounded value corresponding to the original string. It
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1368 determines which of these two values is the correct one by
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1369 computing the decimal digits of rv + 0.5ulp and comparing them with
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1370 the corresponding digits of s0.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1371
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1372 In the following, write dv for the absolute value of the number represented
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1373 by the input string.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1374
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1375 Inputs:
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1376
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1377 s0 points to the first significant digit of the input string.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1378
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1379 rv is a (possibly scaled) estimate for the closest double value to the
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1380 value represented by the original input to _Py_dg_strtod. If
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1381 bc->scale is nonzero, then rv/2^(bc->scale) is the approximation to
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1382 the input value.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1383
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1384 bc is a struct containing information gathered during the parsing and
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1385 estimation steps of _Py_dg_strtod. Description of fields follows:
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1386
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1387 bc->e0 gives the exponent of the input value, such that dv = (integer
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1388 given by the bd->nd digits of s0) * 10**e0
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1389
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1390 bc->nd gives the total number of significant digits of s0. It will
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1391 be at least 1.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1392
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1393 bc->nd0 gives the number of significant digits of s0 before the
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1394 decimal separator. If there's no decimal separator, bc->nd0 ==
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1395 bc->nd.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1396
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1397 bc->scale is the value used to scale rv to avoid doing arithmetic with
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1398 subnormal values. It's either 0 or 2*P (=106).
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1399
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1400 Outputs:
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1401
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1402 On successful exit, rv/2^(bc->scale) is the closest double to dv.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1403
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1404 Returns 0 on success, -1 on failure (e.g., due to a failed malloc call). */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1405
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1406 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1407 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	1408 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1409 Bigint b, d;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1410 int b2, d2, dd, i, nd, nd0, odd, p2, p5;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1411
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1412 nd = bc->nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1413 nd0 = bc->nd0;
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1414 p5 = nd + bc->e0;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1415 b = sd2b(rv, bc->scale, &p2);
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1416 if (b == NULL)
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1417 return -1;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1418
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1419 /* record whether the lsb of rv/2^(bc->scale) is odd: in the exact halfway
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1420 case, this is used for round to even. */
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1421 odd = b->x[0] & 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1422
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1423 /* left shift b by 1 bit and or a 1 into the least significant bit;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1424 this gives us b * 2*p2 = rv/2^(bc->scale) + 0.5 ulp. /
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1425 b = lshift(b, 1);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1426 if (b == NULL)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1427 return -1;
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1428 b->x[0] \|= 1;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1429 p2--;
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1430
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1431 p2 -= p5;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1432 d = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1433 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1434 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1435 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1436 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1437 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1438 * 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	1439 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1440 if (p5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1441 d = pow5mult(d, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1442 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1443 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1444 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1445 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1446 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1447 else if (p5 < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1448 b = pow5mult(b, -p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1449 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1450 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1451 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1452 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1453 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1454 if (p2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1455 b2 = p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1456 d2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1457 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1458 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1459 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1460 d2 = -p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1461 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1462 i = dshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1463 if ((b2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1464 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1465 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1466 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1467 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1468 }
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 if ((d2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1471 d = lshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1472 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1473 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1474 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1475 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1476 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1477
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1478 /* Compare s0 with b/d: set dd to -1, 0, or 1 according as s0 < b/d, s0 ==
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1479 * b/d, or s0 > b/d. Here the digits of s0 are thought of as representing
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1480 * a number in the range [0.1, 1). */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1481 if (cmp(b, d) >= 0)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1482 /* b/d >= 1 */
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1483 dd = -1;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1484 else {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1485 i = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1486 for(;;) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1487 b = multadd(b, 10, 0);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1488 if (b == NULL) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1489 Bfree(d);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1490 return -1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1491 }
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1492 dd = s0[i < nd0 ? i : i+1] - '0' - quorem(b, d);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1493 i++;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1494
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1495 if (dd)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1496 break;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1497 if (!b->x[0] && b->wds == 1) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1498 /* b/d == 0 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1499 dd = i < nd;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1500 break;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1501 }
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1502 if (!(i < nd)) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1503 /* b/d != 0, but digits of s0 exhausted */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1504 dd = -1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1505 break;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1506 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1507 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1508 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1509 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1510 Bfree(d);
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1511 if (dd > 0 \|\| (dd == 0 && odd))
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1512 dval(rv) += sulp(rv, bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1513 return 0;
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
76629 c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1516 /* Return a 'standard' NaN value.
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1517
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1518 There are exactly two quiet NaNs that don't arise by 'quieting' signaling
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1519 NaNs (see IEEE 754-2008, section 6.2.1). If sign == 0, return the one whose
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1520 sign bit is cleared. Otherwise, return the one whose sign bit is set.
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1521 */
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1522
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1523 double
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1524 _Py_dg_stdnan(int sign)
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1525 {
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1526 U rv;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1527 word0(&rv) = NAN_WORD0;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1528 word1(&rv) = NAN_WORD1;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1529 if (sign)
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1530 word0(&rv) \|= Sign_bit;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1531 return dval(&rv);
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1532 }
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1533
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1534 /* Return positive or negative infinity, according to the given sign (0 for
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1535 * positive infinity, 1 for negative infinity). */
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1536
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1537 double
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1538 _Py_dg_infinity(int sign)
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1539 {
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1540 U rv;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1541 word0(&rv) = POSINF_WORD0;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1542 word1(&rv) = POSINF_WORD1;
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1543 return sign ? -dval(&rv) : dval(&rv);
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1544 }
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1545
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1546 double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1547 _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	1548 {
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1549 int bb2, bb5, bbe, bd2, bd5, bs2, c, dsign, e, e1, error;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1550 int esign, i, j, k, lz, nd, nd0, odd, sign;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1551 const char s, s0, *s1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1552 double aadj, aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1553 U aadj2, adj, rv, rv0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1554 ULong y, z, abs_exp;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1555 Long L;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1556 BCinfo bc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1557 Bigint bb, bb1, bd, bd0, bs, delta;
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1558 size_t ndigits, fraclen;
53185 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 dval(&rv) = 0.;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1561
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1562 /* Start parsing. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1563 c = *(s = s00);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1564
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1565 /* Parse optional sign, if present. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1566 sign = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1567 switch (c) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1568 case '-':
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1569 sign = 1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1570 /* no break */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1571 case '+':
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1572 c = *++s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1573 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1574
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1575 /* Skip leading zeros: lz is true iff there were leading zeros. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1576 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1577 while (c == '0')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1578 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1579 lz = s != s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1580
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1581 /* Point s0 at the first nonzero digit (if any). fraclen will be the
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1582 number of digits between the decimal point and the end of the
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1583 digit string. ndigits will be the total number of digits ignoring
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1584 leading zeros. */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1585 s0 = s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1586 while ('0' <= c && c <= '9')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1587 c = *++s;
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1588 ndigits = s - s1;
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1589 fraclen = 0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1590
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1591 /* Parse decimal point and following digits. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1592 if (c == '.') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1593 c = *++s;
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1594 if (!ndigits) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1595 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1596 while (c == '0')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1597 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1598 lz = lz \|\| s != s1;
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1599 fraclen += (s - s1);
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1600 s0 = s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1601 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1602 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1603 while ('0' <= c && c <= '9')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1604 c = *++s;
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1605 ndigits += s - s1;
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1606 fraclen += s - s1;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1607 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1608
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1609 /* Now lz is true if and only if there were leading zero digits, and
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1610 ndigits gives the total number of digits ignoring leading zeros. A
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1611 valid input must have at least one digit. */
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1612 if (!ndigits && !lz) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1613 if (se)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1614 se = (char )s00;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1615 goto parse_error;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1616 }
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1617
87582 eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1618 /* Range check ndigits and fraclen to make sure that they, and values
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1619 computed with them, can safely fit in an int. */
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1620 if (ndigits > MAX_DIGITS \|\| fraclen > MAX_DIGITS) {
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1621 if (se)
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1622 se = (char )s00;
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1623 goto parse_error;
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1624 }
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1625 nd = (int)ndigits;
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1626 nd0 = (int)ndigits - (int)fraclen;
eac133e13bb5 Issue #19638: Raise ValueError instead of crashing when converting billion character strings to float. Mark Dickinson <dickinsm@gmail.com> parents: 76629 diff changeset	1627
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1628 /* Parse exponent. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1629 e = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1630 if (c == 'e' \|\| c == 'E') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1631 s00 = s;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1632 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1633
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1634 /* Exponent sign. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1635 esign = 0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1636 switch (c) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1637 case '-':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1638 esign = 1;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1639 /* no break */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1640 case '+':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1641 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1642 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1643
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1644 /* Skip zeros. lz is true iff there are leading zeros. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1645 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1646 while (c == '0')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1647 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1648 lz = s != s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1649
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1650 /* Get absolute value of the exponent. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1651 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1652 abs_exp = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1653 while ('0' <= c && c <= '9') {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1654 abs_exp = 10*abs_exp + (c - '0');
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1655 c = *++s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1656 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1657
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1658 /* abs_exp will be correct modulo 232. But 109 < 2**32, so if
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1659 there are at most 9 significant exponent digits then overflow is
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1660 impossible. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1661 if (s - s1 > 9 \|\| abs_exp > MAX_ABS_EXP)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1662 e = (int)MAX_ABS_EXP;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1663 else
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1664 e = (int)abs_exp;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1665 if (esign)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1666 e = -e;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1667
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1668 /* A valid exponent must have at least one digit. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1669 if (s == s1 && !lz)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1670 s = s00;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1671 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1672
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1673 /* Adjust exponent to take into account position of the point. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1674 e -= nd - nd0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1675 if (nd0 <= 0)
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1676 nd0 = nd;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1677
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1678 /* Finished parsing. Set se to indicate how far we parsed */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1679 if (se)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1680 se = (char )s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1681
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1682 /* If all digits were zero, exit with return value +-0.0. Otherwise,
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1683 strip trailing zeros: scan back until we hit a nonzero digit. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1684 if (!nd)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1685 goto ret;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1686 for (i = nd; i > 0; ) {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1687 --i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1688 if (s0[i < nd0 ? i : i+1] != '0') {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1689 ++i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1690 break;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1691 }
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1692 }
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1693 e += nd - i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1694 nd = i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1695 if (nd0 > nd)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1696 nd0 = nd;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1697
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1698 /* Summary of parsing results. After parsing, and dealing with zero
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1699 * inputs, we have values s0, nd0, nd, e, sign, where:
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1700 *
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1701 * - s0 points to the first significant digit of the input string
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1702 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1703 * - nd is the total number of significant digits (here, and
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1704 * below, 'significant digits' means the set of digits of the
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1705 * significand of the input that remain after ignoring leading
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1706 * and trailing zeros).
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1707 *
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1708 * - nd0 indicates the position of the decimal point, if present; it
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1709 * satisfies 1 <= nd0 <= nd. The nd significant digits are in
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1710 * s0[0:nd0] and s0[nd0+1:nd+1] using the usual Python half-open slice
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1711 * notation. (If nd0 < nd, then s0[nd0] contains a '.' character; if
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1712 * nd0 == nd, then s0[nd0] could be any non-digit character.)
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1713 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1714 * - e is the adjusted exponent: the absolute value of the number
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1715 * represented by the original input string is n * 10**e, where
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1716 * n is the integer represented by the concatenation of
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1717 * s0[0:nd0] and s0[nd0+1:nd+1]
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1718 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1719 * - sign gives the sign of the input: 1 for negative, 0 for positive
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1720 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1721 * - the first and last significant digits are nonzero
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1722 */
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1723
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1724 /* put first DBL_DIG+1 digits into integer y and z.
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1725 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1726 * - y contains the value represented by the first min(9, nd)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1727 * significant digits
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1728 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1729 * - if nd > 9, z contains the value represented by significant digits
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1730 * with indices in [9, min(16, nd)). So y * 10**(min(16, nd) - 9) + z
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1731 * gives the value represented by the first min(16, nd) sig. digits.
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1732 */
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1733
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1734 bc.e0 = e1 = e;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1735 y = z = 0;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1736 for (i = 0; i < nd; i++) {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1737 if (i < 9)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1738 y = 10*y + s0[i < nd0 ? i : i+1] - '0';
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1739 else if (i < DBL_DIG+1)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1740 z = 10*z + s0[i < nd0 ? i : i+1] - '0';
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1741 else
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1742 break;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1743 }
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1744
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1745 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	1746 dval(&rv) = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1747 if (k > 9) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1748 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	1749 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1750 bd0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1751 if (nd <= DBL_DIG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1752 && Flt_Rounds == 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1753 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1754 if (!e)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1755 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1756 if (e > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1757 if (e <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1758 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1759 goto ret;
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 i = DBL_DIG - nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1762 if (e <= Ten_pmax + i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1763 /* 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	1764 * this for larger i values.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1765 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1766 e -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1767 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1768 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1769 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1770 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1771 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1772 else if (e >= -Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1773 dval(&rv) /= tens[-e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1774 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1775 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1776 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1777 e1 += nd - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1778
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1779 bc.scale = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1780
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1781 /* Get starting approximation = rv * 10*e1 /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1782
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1783 if (e1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1784 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1785 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1786 if (e1 &= ~15) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1787 if (e1 > DBL_MAX_10_EXP)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1788 goto ovfl;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1789 e1 >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1790 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	1791 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1792 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1793 /* The last multiplication could overflow. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1794 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1795 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1796 if ((z = word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1797 > Exp_msk1*(DBL_MAX_EXP+Bias-P))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1798 goto ovfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1799 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	1800 /* set to largest number */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1801 /* (Can't trust DBL_MAX) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1802 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1803 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1804 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1805 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1806 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1807 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1808 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1809 else if (e1 < 0) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1810 /* The input decimal value lies in [10e1, 10(e1+16)).
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1811
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1812 If e1 <= -512, underflow immediately.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1813 If e1 <= -256, set bc.scale to 2*P.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1814
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1815 So for input value < 1e-256, bc.scale is always set;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1816 for input value >= 1e-240, bc.scale is never set.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1817 For input values in [1e-256, 1e-240), bc.scale may or may
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1818 not be set. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1819
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1820 e1 = -e1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1821 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1822 dval(&rv) /= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1823 if (e1 >>= 4) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1824 if (e1 >= 1 << n_bigtens)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1825 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1826 if (e1 & Scale_Bit)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1827 bc.scale = 2*P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1828 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	1829 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1830 dval(&rv) *= tinytens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1831 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	1832 >> Exp_shift)) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1833 /* 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	1834 if (j >= 32) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1835 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1836 if (j >= 53)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1837 word0(&rv) = (P+2)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1838 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1839 word0(&rv) &= 0xffffffff << (j-32);
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 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1842 word1(&rv) &= 0xffffffff << j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1843 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1844 if (!dval(&rv))
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1845 goto undfl;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1846 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1847 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1848
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1849 /* 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	1850
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1851 /* 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	1852
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1853 bc.nd = nd;
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1854 bc.nd0 = nd0; /* Only needed if nd > STRTOD_DIGLIM, but done here */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1855 /* 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	1856 /* possibly not being initialized. */
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1857 if (nd > STRTOD_DIGLIM) {
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1858 /* ASSERT(STRTOD_DIGLIM >= 18); 18 == one more than the */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1859 /* 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	1860 /* in IEEE arithmetic. */
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1861
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1862 /* Truncate input to 18 significant digits, then discard any trailing
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1863 zeros on the result by updating nd, nd0, e and y suitably. (There's
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1864 no need to update z; it's not reused beyond this point.) */
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1865 for (i = 18; i > 0; ) {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1866 /* scan back until we hit a nonzero digit. significant digit 'i'
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1867 is s0[i] if i < nd0, s0[i+1] if i >= nd0. */
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1868 --i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1869 if (s0[i < nd0 ? i : i+1] != '0') {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1870 ++i;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1871 break;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1872 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1873 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1874 e += nd - i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1875 nd = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1876 if (nd0 > nd)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1877 nd0 = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1878 if (nd < 9) { /* must recompute y */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1879 y = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1880 for(i = 0; i < nd0; ++i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1881 y = 10*y + s0[i] - '0';
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1882 for(; i < nd; ++i)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1883 y = 10*y + s0[i+1] - '0';
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1884 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1885 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1886 bd0 = s2b(s0, nd0, nd, y);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1887 if (bd0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1888 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1889
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1890 /* Notation for the comments below. Write:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1891
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1892 - dv for the absolute value of the number represented by the original
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1893 decimal input string.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1894
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1895 - if we've truncated dv, write tdv for the truncated value.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1896 Otherwise, set tdv == dv.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1897
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1898 - srv for the quantity rv/2^bc.scale; so srv is the current binary
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1899 approximation to tdv (and dv). It should be exactly representable
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1900 in an IEEE 754 double.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1901 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1902
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1903 for(;;) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1904
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1905 /* This is the main correction loop for _Py_dg_strtod.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1906
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1907 We've got a decimal value tdv, and a floating-point approximation
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1908 srv=rv/2^bc.scale to tdv. The aim is to determine whether srv is
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1909 close enough (i.e., within 0.5 ulps) to tdv, and to compute a new
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1910 approximation if not.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1911
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1912 To determine whether srv is close enough to tdv, compute integers
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1913 bd, bb and bs proportional to tdv, srv and 0.5 ulp(srv)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1914 respectively, and then use integer arithmetic to determine whether
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1915 \|tdv - srv\| is less than, equal to, or greater than 0.5 ulp(srv).
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1916 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1917
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1918 bd = Balloc(bd0->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1919 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1920 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1921 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1922 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1923 Bcopy(bd, bd0);
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1924 bb = sd2b(&rv, bc.scale, &bbe); /* srv = bb * 2^bbe */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1925 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1926 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1927 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1928 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1929 }
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1930 /* Record whether lsb of bb is odd, in case we need this
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1931 for the round-to-even step later. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1932 odd = bb->x[0] & 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1933
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1934 /* tdv = bd * 10*e; srv = bb 2*bbe /
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1935 bs = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1936 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1937 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1938 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1939 Bfree(bd0);
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 (e >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1944 bb2 = bb5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1945 bd2 = bd5 = e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1946 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1947 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1948 bb2 = bb5 = -e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1949 bd2 = bd5 = 0;
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 if (bbe >= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1952 bb2 += bbe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1953 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1954 bd2 -= bbe;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1955 bs2 = bb2;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1956 bb2++;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1957 bd2++;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1958
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1959 /* At this stage bd5 - bb5 == e == bd2 - bb2 + bbe, bb2 - bs2 == 1,
76629 c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1960 and bs == 1, so:
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1961
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1962 tdv == bd * 10*e = bd 2*(bbe - bb2 + bd2) 5**(bd5 - bb5)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1963 srv == bb * 2*bbe = bb 2**(bbe - bb2 + bb2)
76629 c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1964 0.5 ulp(srv) == 2*(bbe-1) = bs 2**(bbe - bb2 + bs2)
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1965
76629 c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1966 It follows that:
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1967
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1968 M * tdv = bd * 2*bd2 5**bd5
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1969 M * srv = bb * 2*bb2 5**bb5
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1970 M * 0.5 ulp(srv) = bs * 2*bs2 5**bb5
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1971
76629 c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1972 for some constant M. (Actually, M == 2*(bb2 - bbe) 5**bb5, but
c468511fc887 Issue #14521: Make result of float('nan') and float('-nan') more consistent across platforms. Further, don't rely on Py_HUGE_VAL for float('inf'). Mark Dickinson <mdickinson@enthought.com> parents: 68102 diff changeset	1973 this fact is not needed below.)
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1974 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1975
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1976 /* Remove factor of 2*i, where i = min(bb2, bd2, bs2). /
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1977 i = bb2 < bd2 ? bb2 : bd2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1978 if (i > bs2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1979 i = bs2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1980 if (i > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1981 bb2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1982 bd2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1983 bs2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1984 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1985
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1986 /* Scale bb, bd, bs by the appropriate powers of 2 and 5. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1987 if (bb5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1988 bs = pow5mult(bs, bb5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1989 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1990 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1991 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1992 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1993 goto failed_malloc;
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 bb1 = mult(bs, bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1996 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1997 bb = bb1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1998 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1999 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2000 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2001 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2002 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2005 if (bb2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2006 bb = lshift(bb, bb2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2007 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2008 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2009 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2010 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2011 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2012 }
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 if (bd5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2015 bd = pow5mult(bd, bd5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2016 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2017 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2018 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2019 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2020 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2021 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2022 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2023 if (bd2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2024 bd = lshift(bd, bd2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2025 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2026 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2027 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2028 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2029 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2030 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2031 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2032 if (bs2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2033 bs = lshift(bs, bs2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2034 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2035 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2036 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2037 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2038 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2039 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2040 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2041
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2042 /* Now bd, bb and bs are scaled versions of tdv, srv and 0.5 ulp(srv),
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2043 respectively. Compute the difference \|tdv - srv\|, and compare
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2044 with 0.5 ulp(srv). */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2045
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2046 delta = diff(bb, bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2047 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2048 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2049 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2050 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2051 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2052 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2053 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2054 dsign = delta->sign;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2055 delta->sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2056 i = cmp(delta, bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2057 if (bc.nd > nd && i <= 0) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2058 if (dsign)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2059 break; /* Must use bigcomp(). */
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2060
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2061 /* Here rv overestimates the truncated decimal value by at most
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2062 0.5 ulp(rv). Hence rv either overestimates the true decimal
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2063 value by <= 0.5 ulp(rv), or underestimates it by some small
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2064 amount (< 0.1 ulp(rv)); either way, rv is within 0.5 ulps of
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2065 the true decimal value, so it's possible to exit.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2066
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2067 Exception: if scaled rv is a normal exact power of 2, but not
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2068 DBL_MIN, then rv - 0.5 ulp(rv) takes us all the way down to the
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2069 next double, so the correctly rounded result is either rv - 0.5
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2070 ulp(rv) or rv; in this case, use bigcomp to distinguish. */
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2071
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2072 if (!word1(&rv) && !(word0(&rv) & Bndry_mask)) {
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2073 /* rv can't be 0, since it's an overestimate for some
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2074 nonzero value. So rv is a normal power of 2. */
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2075 j = (int)(word0(&rv) & Exp_mask) >> Exp_shift;
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2076 /* rv / 2^bc.scale = 2^(j - 1023 - bc.scale); use bigcomp if
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2077 rv / 2^bc.scale >= 2^-1021. */
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2078 if (j - bc.scale >= 2) {
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2079 dval(&rv) -= 0.5 * sulp(&rv, &bc);
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2080 break; /* Use bigcomp. */
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2081 }
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2082 }
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2083
53185 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 bc.nd = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2086 i = -1; /* Discarded digits make delta smaller. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2087 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2088 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2089
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2090 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2091 /* 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	2092 * 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	2093 */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2094 if (dsign \|\| word1(&rv) \|\| word0(&rv) & Bndry_mask
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2095 \|\| (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	2096 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2097 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2098 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2099 if (!delta->x[0] && delta->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2100 /* exact result */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2101 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2102 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2103 delta = lshift(delta,Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2104 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2105 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2106 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2107 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2108 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2109 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2110 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2111 if (cmp(delta, bs) > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2112 goto drop_down;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2113 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2114 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2115 if (i == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2116 /* exactly half-way between */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2117 if (dsign) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2118 if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2119 && word1(&rv) == (
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2120 (bc.scale &&
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2121 (y = word0(&rv) & Exp_mask) <= 2PExp_msk1) ?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2122 (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	2123 0xffffffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2124 /boundary case -- increment exponent/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2125 word0(&rv) = (word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2126 + Exp_msk1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2127 ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2128 word1(&rv) = 0;
68102 e2f96bd29252 Issue #8914: fix various warnings from the Clang static analyzer v254. Brett Cannon <bcannon@gmail.com> parents: 61547 diff changeset	2129 /* dsign = 0; */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2130 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2131 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2132 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2133 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	2134 drop_down:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2135 /* boundary case -- decrement exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2136 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2137 L = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2138 if (L <= (2P+1)Exp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2139 if (L > (P+2)*Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2140 /* round even ==> */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2141 /* accept rv */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2142 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2143 /* rv = smallest denormal */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2144 if (bc.nd > nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2145 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2146 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2147 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2148 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2149 L = (word0(&rv) & Exp_mask) - Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2150 word0(&rv) = L \| Bndry_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2151 word1(&rv) = 0xffffffff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2152 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2153 }
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	2154 if (!odd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2155 break;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2156 if (dsign)
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	2157 dval(&rv) += sulp(&rv, &bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2158 else {
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	2159 dval(&rv) -= sulp(&rv, &bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2160 if (!dval(&rv)) {
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	2161 if (bc.nd >nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2162 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2163 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2164 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2165 }
68102 e2f96bd29252 Issue #8914: fix various warnings from the Clang static analyzer v254. Brett Cannon <bcannon@gmail.com> parents: 61547 diff changeset	2166 /* dsign = 1 - dsign; */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2167 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2168 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2169 if ((aadj = ratio(delta, bs)) <= 2.) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2170 if (dsign)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2171 aadj = aadj1 = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2172 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	2173 if (word1(&rv) == Tiny1 && !word0(&rv)) {
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	2174 if (bc.nd >nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2175 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2176 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2177 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2178 aadj = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2179 aadj1 = -1.;
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2182 /* 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	2183 /* rounded down... */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2184
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2185 if (aadj < 2./FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2186 aadj = 1./FLT_RADIX;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2187 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2188 aadj *= 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2189 aadj1 = -aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2190 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2191 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2192 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2193 aadj *= 0.5;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2194 aadj1 = dsign ? aadj : -aadj;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2195 if (Flt_Rounds == 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2196 aadj1 += 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2197 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2198 y = word0(&rv) & Exp_mask;
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 /* Check for overflow */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2201
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2202 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	2203 dval(&rv0) = dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2204 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2205 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2206 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2207 if ((word0(&rv) & Exp_mask) >=
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2208 Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
58391 b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2209 if (word0(&rv0) == Big0 && word1(&rv0) == Big1) {
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2210 Bfree(bb);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2211 Bfree(bd);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2212 Bfree(bs);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2213 Bfree(bd0);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2214 Bfree(delta);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2215 goto ovfl;
58391 b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2216 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2217 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2218 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2219 goto cont;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2220 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2221 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2222 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2223 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2224 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2225 if (bc.scale && y <= 2PExp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2226 if (aadj <= 0x7fffffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2227 if ((z = (ULong)aadj) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2228 z = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2229 aadj = z;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2230 aadj1 = dsign ? aadj : -aadj;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2231 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2232 dval(&aadj2) = aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2233 word0(&aadj2) += (2P+1)Exp_msk1 - y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2234 aadj1 = dval(&aadj2);
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 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2237 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2238 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2239 z = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2240 if (bc.nd == nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2241 if (!bc.scale)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2242 if (y == z) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2243 /* Can we stop now? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2244 L = (Long)aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2245 aadj -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2246 /* The tolerances below are conservative. */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2247 if (dsign \|\| word1(&rv) \|\| word0(&rv) & Bndry_mask) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2248 if (aadj < .4999999 \|\| aadj > .5000001)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2249 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2250 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2251 else if (aadj < .4999999/FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2252 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2253 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2254 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2255 cont:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2256 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2257 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2258 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2259 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2260 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2261 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2262 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2263 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2264 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2265 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2266 if (bc.nd > nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2267 error = bigcomp(&rv, s0, &bc);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2268 if (error)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2269 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2270 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2271
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2272 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2273 word0(&rv0) = Exp_1 - 2PExp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2274 word1(&rv0) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2275 dval(&rv) *= dval(&rv0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2276 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2277
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2278 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2279 return sign ? -dval(&rv) : dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2280
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2281 parse_error:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2282 return 0.0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2283
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2284 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2285 errno = ENOMEM;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2286 return -1.0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2287
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2288 undfl:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2289 return sign ? -0.0 : 0.0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2290
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2291 ovfl:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2292 errno = ERANGE;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2293 /* Can't trust HUGE_VAL */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2294 word0(&rv) = Exp_mask;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2295 word1(&rv) = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2296 return sign ? -dval(&rv) : dval(&rv);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2297
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2298 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2299
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2300 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2301 rv_alloc(int i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2302 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2303 int j, k, *r;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2304
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2305 j = sizeof(ULong);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2306 for(k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2307 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	2308 j <<= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2309 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2310 r = (int*)Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2311 if (r == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2312 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2313 *r = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2314 return (char *)(r+1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2315 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2316
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2317 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2318 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	2319 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2320 char rv, t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2321
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2322 rv = rv_alloc(n);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2323 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2324 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2325 t = rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2326 while((t = s++)) t++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2327 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2328 *rve = t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2329 return rv;
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 /* 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	2333 * 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	2334 * 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	2335 * when MULTIPLE_THREADS is not defined.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2336 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2337
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2338 void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2339 _Py_dg_freedtoa(char *s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2340 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2341 Bigint b = (Bigint )((int *)s - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2342 b->maxwds = 1 << (b->k = (int)b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2343 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2344 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2345
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2346 /* 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	2347 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2348 * 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	2349 * 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	2350 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2351 * Modifications:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2352 * 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	2353 * 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	2354 * 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	2355 * 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	2356 * 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	2357 * 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	2358 * 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	2359 * 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	2360 * 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	2361 * 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	2362 * 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	2363 * 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	2364 * inequality.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2365 * 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	2366 * quantities.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2367 * 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	2368 * 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	2369 * to multiple-precision integers.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2370 * 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	2371 * 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	2372 * 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	2373 * 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	2374 * 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	2375 * "uniformly" distributed input, the probability is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2376 * 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	2377 * calculation.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2378 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2379
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2380 /* 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	2381 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	2382 call to _Py_dg_freedtoa. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2383
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2384 char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2385 _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	2386 int decpt, int sign, char **rve)
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 /* 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	2389 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	2390 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	2391 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	2392 then *decpt is set to 9999.
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 mode:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2395 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	2396 and rounded to nearest.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2397 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	2398 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	2399 1e23 whereas mode 1 gives 9.999999999999999e22.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2400 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	2401 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	2402 that trailing zeros are suppressed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2403 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	2404 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	2405 except that trailing zeros are suppressed, and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2406 ndigits can be negative.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2407 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	2408 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	2409 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	2410 With IEEE arithmetic and compilation with
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2411 -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	2412 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	2413 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	2414 fast floating-point estimate (if applicable).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2415
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2416 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	2417
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2418 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	2419 to hold the suppressed trailing zeros.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2420 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2421
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2422 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	2423 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	2424 spec_case, try_quick;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2425 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2426 int denorm;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2427 ULong x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2428 Bigint b, b1, delta, mlo, mhi, S;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2429 U d2, eps, u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2430 double ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2431 char s, s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2432
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2433 /* 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	2434 cleanup easier on error */
61547 8410f83fd159 Remove unnecessary assignments. Mark Dickinson <dickinsm@gmail.com> parents: 58467 diff changeset	2435 mlo = mhi = S = 0;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2436 s0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2437
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2438 u.d = dd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2439 if (word0(&u) & Sign_bit) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2440 /* 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	2441 *sign = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2442 word0(&u) &= ~Sign_bit; /* clear sign bit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2443 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2444 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2445 *sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2446
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2447 /* quick return for Infinities, NaNs and zeros */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2448 if ((word0(&u) & Exp_mask) == Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2449 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2450 /* Infinity or NaN */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2451 *decpt = 9999;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2452 if (!word1(&u) && !(word0(&u) & 0xfffff))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2453 return nrv_alloc("Infinity", rve, 8);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2454 return nrv_alloc("NaN", rve, 3);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2455 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2456 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2457 *decpt = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2458 return nrv_alloc("0", rve, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2459 }
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 /* 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	2462 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	2463 b = d2b(&u, &be, &bbits);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2464 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2465 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2466 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	2467 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2468 word0(&d2) &= Frac_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2469 word0(&d2) \|= Exp_11;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2470
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2471 /* 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	2472 * log10(x) = log(x) / log(10)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2473 * ~=~ 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	2474 * 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	2475 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2476 * 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	2477 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2478 * k = (i - Bias)*0.301029995663981
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2479 * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2480 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2481 * 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	2482 * 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	2483 * 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	2484 * 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	2485 * (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	2486 * 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	2487 * 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	2488 * 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	2489 * (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	2490 * but this is probably not worthwhile.)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2491 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2492
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2493 i -= Bias;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2494 denorm = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2495 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2496 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2497 /* d is denormalized */
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 i = bbits + be + (Bias + (P-1) - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2500 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	2501 : word1(&u) << (32 - i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2502 dval(&d2) = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2503 word0(&d2) -= 31Exp_msk1; / adjust exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2504 i -= (Bias + (P-1) - 1) + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2505 denorm = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2506 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2507 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	2508 i*0.301029995663981;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2509 k = (int)ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2510 if (ds < 0. && ds != k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2511 k--; /* want k = floor(ds) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2512 k_check = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2513 if (k >= 0 && k <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2514 if (dval(&u) < tens[k])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2515 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2516 k_check = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2517 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2518 j = bbits - i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2519 if (j >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2520 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2521 s2 = j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2522 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2523 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2524 b2 = -j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2525 s2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2526 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2527 if (k >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2528 b5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2529 s5 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2530 s2 += k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2531 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2532 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2533 b2 -= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2534 b5 = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2535 s5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2536 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2537 if (mode < 0 \|\| mode > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2538 mode = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2539
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2540 try_quick = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2541
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2542 if (mode > 5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2543 mode -= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2544 try_quick = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2545 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2546 leftright = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2547 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	2548 /* silence erroneous "gcc -Wall" warning. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2549 switch(mode) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2550 case 0:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2551 case 1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2552 i = 18;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2553 ndigits = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2554 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2555 case 2:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2556 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2557 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2558 case 4:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2559 if (ndigits <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2560 ndigits = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2561 ilim = ilim1 = i = ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2562 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2563 case 3:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2564 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2565 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2566 case 5:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2567 i = ndigits + k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2568 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2569 ilim1 = i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2570 if (i <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2571 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2572 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2573 s0 = rv_alloc(i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2574 if (s0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2575 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2576 s = s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2577
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2578
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2579 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	2580
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2581 /* 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	2582
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2583 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2584 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2585 k0 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2586 ilim0 = ilim;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2587 ieps = 2; /* conservative */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2588 if (k > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2589 ds = tens[k&0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2590 j = k >> 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2591 if (j & Bletch) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2592 /* prevent overflows */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2593 j &= Bletch - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2594 dval(&u) /= bigtens[n_bigtens-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2595 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2596 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2597 for(; j; j >>= 1, i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2598 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2599 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2600 ds *= bigtens[i];
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 dval(&u) /= ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2603 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2604 else if ((j1 = -k)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2605 dval(&u) *= tens[j1 & 0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2606 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	2607 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2608 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2609 dval(&u) *= bigtens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2610 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2611 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2612 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	2613 if (ilim1 <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2614 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2615 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2616 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2617 dval(&u) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2618 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2619 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2620 dval(&eps) = ieps*dval(&u) + 7.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2621 word0(&eps) -= (P-1)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2622 if (ilim == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2623 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2624 dval(&u) -= 5.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2625 if (dval(&u) > dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2626 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2627 if (dval(&u) < -dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2628 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2629 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2630 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2631 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2632 /* Use Steele & White method of only
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2633 * generating digits needed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2634 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2635 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	2636 for(i = 0;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2637 L = (Long)dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2638 dval(&u) -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2639 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2640 if (dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2641 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2642 if (1. - dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2643 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2644 if (++i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2645 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2646 dval(&eps) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2647 dval(&u) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2648 }
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2651 /* Generate ilim digits, then fix them up. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2652 dval(&eps) *= tens[ilim-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2653 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2654 L = (Long)(dval(&u));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2655 if (!(dval(&u) -= L))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2656 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2657 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2658 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2659 if (dval(&u) > 0.5 + dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2660 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2661 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	2662 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2663 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2664 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2665 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2666 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2667 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2668 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2669 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2670 fast_failed:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2671 s = s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2672 dval(&u) = dval(&d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2673 k = k0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2674 ilim = ilim0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2675 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2676
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2677 /* Do we have a "small" integer? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2678
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2679 if (be >= 0 && k <= Int_max) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2680 /* Yes. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2681 ds = tens[k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2682 if (ndigits < 0 && ilim <= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2683 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2684 if (ilim < 0 \|\| dval(&u) <= 5*ds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2685 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2686 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2687 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2688 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2689 L = (Long)(dval(&u) / ds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2690 dval(&u) -= L*ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2691 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2692 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2693 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2694 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2695 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2696 dval(&u) += dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2697 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	2698 bump_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2699 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2700 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2701 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2702 *s = '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2703 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2704 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2705 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2706 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2707 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2708 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2709 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2710 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2711 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2712
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2713 m2 = b2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2714 m5 = b5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2715 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2716 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2717 denorm ? be + (Bias + (P-1) - 1 + 1) :
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2718 1 + P - bbits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2719 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2720 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2721 mhi = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2722 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2723 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2724 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2725 if (m2 > 0 && s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2726 i = m2 < s2 ? m2 : s2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2727 b2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2728 m2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2729 s2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2730 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2731 if (b5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2732 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2733 if (m5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2734 mhi = pow5mult(mhi, m5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2735 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2736 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2737 b1 = mult(mhi, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2738 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2739 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2740 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2741 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2742 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2743 if ((j = b5 - m5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2744 b = pow5mult(b, j);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2745 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2746 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2747 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2748 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2749 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2750 b = pow5mult(b, b5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2751 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2752 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2753 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2754 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2755 S = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2756 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2757 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2758 if (s5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2759 S = pow5mult(S, s5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2760 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2761 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2762 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2763
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2764 /* 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	2765
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2766 spec_case = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2767 if ((mode < 2 \|\| leftright)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2768 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2769 if (!word1(&u) && !(word0(&u) & Bndry_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2770 && word0(&u) & (Exp_mask & ~Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2771 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2772 /* The special case */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2773 b2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2774 s2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2775 spec_case = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2776 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2777 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2778
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2779 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2780 * 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	2781 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2782 * 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	2783 * 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	2784 * 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	2785 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2786 #define iInc 28
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2787 i = dshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2788 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2789 m2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2790 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2791 if (b2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2792 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2793 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2794 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2795 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2796 if (s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2797 S = lshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2798 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2799 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2800 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2801 if (k_check) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2802 if (cmp(b,S) < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2803 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2804 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	2805 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2806 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2807 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2808 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2809 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2810 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2811 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2812 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2813 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2814 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2815 if (ilim <= 0 && (mode == 3 \|\| mode == 5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2816 if (ilim < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2817 /* no digits, fcvt style */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2818 no_digits:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2819 k = -1 - ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2820 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2821 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2822 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2823 S = multadd(S, 5, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2824 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2825 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2826 if (cmp(b, S) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2827 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2828 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2829 one_digit:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2830 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2831 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2832 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2833 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2834 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2835 if (m2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2836 mhi = lshift(mhi, m2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2837 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2838 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2839 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2840
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2841 /* Compute mlo -- check for special case
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2842 * 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	2843 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2844
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2845 mlo = mhi;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2846 if (spec_case) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2847 mhi = Balloc(mhi->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2848 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2849 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2850 Bcopy(mhi, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2851 mhi = lshift(mhi, Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2852 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2853 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2854 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2855
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2856 for(i = 1;;i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2857 dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2858 /* 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	2859 * that will round to d?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2860 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2861 j = cmp(b, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2862 delta = diff(S, mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2863 if (delta == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2864 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2865 j1 = delta->sign ? 1 : cmp(b, delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2866 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2867 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	2868 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2869 if (dig == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2870 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2871 if (j > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2872 dig++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2873 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2874 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2875 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2876 if (j < 0 \|\| (j == 0 && mode != 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2877 && !(word1(&u) & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2878 )) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2879 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2880 goto accept_dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2881 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2882 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2883 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2884 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2885 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2886 j1 = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2887 if ((j1 > 0 \|\| (j1 == 0 && dig & 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2888 && dig++ == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2889 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2890 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2891 accept_dig:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2892 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2893 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2894 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2895 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2896 if (dig == '9') { /* possible if i == 1 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2897 round_9_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2898 *s++ = '9';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2899 goto roundoff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2900 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2901 *s++ = dig + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2902 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2903 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2904 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2905 if (i == ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2906 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2907 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2908 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2909 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2910 if (mlo == mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2911 mlo = mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2912 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2913 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2914 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2915 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2916 mlo = multadd(mlo, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2917 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2918 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2919 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2920 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2921 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2922 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2923 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2924 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2925 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2926 for(i = 1;; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2927 *s++ = dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2928 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2929 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2930 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2931 if (i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2932 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2933 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2934 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2935 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2936 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2937
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2938 /* Round off last digit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2939
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2940 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2941 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2942 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2943 j = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2944 if (j > 0 \|\| (j == 0 && dig & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2945 roundoff:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2946 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2947 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2948 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2949 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2950 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2951 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2952 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2953 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2954 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2955 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2956 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2957 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2958 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2959 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2960 if (mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2961 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2962 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2963 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2964 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2965 ret1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2966 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2967 *s = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2968 *decpt = k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2969 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2970 *rve = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2971 return s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2972 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2973 if (S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2974 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2975 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2976 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2977 if (mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2978 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2979 if (b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2980 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2981 if (s0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2982 _Py_dg_freedtoa(s0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2983 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2984 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2985 #ifdef __cplusplus
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2986 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2987 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2988
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2989 #endif /* PY_NO_SHORT_FLOAT_REPR */

Mercurial > cpython-lru_cache-weakref

annotate Python/dtoa.c @ 87686:07425df887b5 3.3