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

annotate Python/dtoa.c @ 73323:dad02a080bbc

Improve byte-compilation in packaging to be independent of -O or -B. The code I fixed to comply with PEP 3147 still had one bug: When run under python -O, some paths for pyc files would be pyo, because I called imp.cache_from_source without explicit debug_override argument in some places, and under -O that would return .pyo (this is well explained in the imp docs). Now all code (util.byte_compile, build_py, install_lib) can create .pyo files according to options given by users, without interference from the calling Python’s own optimize mode. On a related topic, I also removed the code that prevented byte compilation under python -B. The rationale is that packaging gives control over the creation of pyc files to the user with its own explicit option, and the behavior should not be changed if the calling Python happens to run with -B for whatever reason. I will argue that this is a bug fix and ask to be allowed to backport this change to distutils. Finally, I moved one nugget of information about the --compile and --optimize options from the source into the doc. It clears up a misunderstanding that I (and maybe other people) had.

author	Éric Araujo <merwok@netwok.org>
date	Thu, 03 Nov 2011 05:08:28 +0100
parents	e2f96bd29252
children	c468511fc887

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
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	207 #define MAX_ABS_EXP 19999U
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	208 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	209
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	210 /* 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	211 * 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	212 * #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	213 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	214 #if defined(IEEE_8087)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	215 #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	216 ((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	217 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	218 #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	219 ((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	220 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	221
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	222 /* #define P DBL_MANT_DIG */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	223 /* Ten_pmax = floor(Plog(2)/log(5)) /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	224 /* 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	225 /* 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	226 /* 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	227
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	228 #define Exp_shift 20
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	229 #define Exp_shift1 20
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	230 #define Exp_msk1 0x100000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	231 #define Exp_msk11 0x100000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	232 #define Exp_mask 0x7ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	233 #define P 53
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	234 #define Nbits 53
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	235 #define Bias 1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	236 #define Emax 1023
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	237 #define Emin (-1022)
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	238 #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	239 #define Exp_1 0x3ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	240 #define Exp_11 0x3ff00000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	241 #define Ebits 11
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	242 #define Frac_mask 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	243 #define Frac_mask1 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	244 #define Ten_pmax 22
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	245 #define Bletch 0x10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	246 #define Bndry_mask 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	247 #define Bndry_mask1 0xfffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	248 #define Sign_bit 0x80000000
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	249 #define Log2P 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	250 #define Tiny0 0
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	251 #define Tiny1 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	252 #define Quick_max 14
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	253 #define Int_max 14
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	254
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	255 #ifndef Flt_Rounds
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	256 #ifdef FLT_ROUNDS
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	257 #define Flt_Rounds FLT_ROUNDS
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	258 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	259 #define Flt_Rounds 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	260 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	261 #endif /Flt_Rounds/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	262
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	263 #define Rounding Flt_Rounds
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	264
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	265 #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	266 #define Big1 0xffffffff
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	267
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	268 /* 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	269
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	270 typedef struct BCinfo BCinfo;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	271 struct
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	272 BCinfo {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	273 int e0, nd, nd0, scale;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	274 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	275
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	276 #define FFFFFFFF 0xffffffffUL
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	277
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	278 #define Kmax 7
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 /* 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	281 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	282 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	283 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	284
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	285 The Bigint fields are as follows:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	286
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	287 - 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	288 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	289 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	290 - 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	291 - 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	292 (usually maxwds == 2**k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	293 - 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	294 (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	295 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	296 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	297 - 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	298 - 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	299 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	300 */
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 struct
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	303 Bigint {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	304 struct Bigint *next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	305 int k, maxwds, sign, wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	306 ULong x[1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	307 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	308
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	309 typedef struct Bigint Bigint;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	310
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	311 #ifndef Py_USING_MEMORY_DEBUGGER
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	312
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	313 /* 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	314 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	315 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	316 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	317
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	318 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	319 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	320 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	321 in preference to using MALLOC.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	322
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	323 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	324 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	325 FREE.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	326
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	327 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	328 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	329 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	330 performance on impact. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	331
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	332 static Bigint *freelist[Kmax+1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	333
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	334 /* 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	335
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	336 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	337 Balloc(int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	338 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	339 int x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	340 Bigint *rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	341 unsigned int len;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	342
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	343 if (k <= Kmax && (rv = freelist[k]))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	344 freelist[k] = rv->next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	345 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	346 x = 1 << k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	347 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	348 /sizeof(double);
53203 ab06a38b590c Add reminder to dtoa.c to check for updates regularly. Mark Dickinson <dickinsm@gmail.com> parents: 53185 diff changeset	349 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	350 rv = (Bigint*)pmem_next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	351 pmem_next += len;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	352 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	353 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	354 rv = (Bigint)MALLOC(lensizeof(double));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	355 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	356 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	357 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	358 rv->k = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	359 rv->maxwds = x;
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 rv->sign = rv->wds = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	362 return rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	363 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	364
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	365 /* Free a Bigint allocated with Balloc */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	366
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	367 static void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	368 Bfree(Bigint *v)
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 (v) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	371 if (v->k > Kmax)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	372 FREE((void*)v);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	373 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	374 v->next = freelist[v->k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	375 freelist[v->k] = v;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	376 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	377 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	378 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	379
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	380 #else
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	381
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	382 /* 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	383 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	384 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	385 Valgrind. */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	386
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	387 /* 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	388
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	389 static Bigint *
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	390 Balloc(int k)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	391 {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	392 int x;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	393 Bigint *rv;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	394 unsigned int len;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	395
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	396 x = 1 << k;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	397 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	398 /sizeof(double);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	399
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	400 rv = (Bigint)MALLOC(lensizeof(double));
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	401 if (rv == NULL)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	402 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	403
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	404 rv->k = k;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	405 rv->maxwds = x;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	406 rv->sign = rv->wds = 0;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	407 return rv;
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
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	410 /* Free a Bigint allocated with Balloc */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	411
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	412 static void
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	413 Bfree(Bigint *v)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	414 {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	415 if (v) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	416 FREE((void*)v);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	417 }
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
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	420 #endif /* Py_USING_MEMORY_DEBUGGER */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	421
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	422 #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	423 y->wdssizeof(Long) + 2sizeof(int))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	424
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	425 /* 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	426 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	427 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	428
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	429 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	430 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	431 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	432 int i, wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	433 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	434 ULong *x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	435 ULLong carry, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	436 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	437 ULong carry, *x, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	438 ULong xi, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	439 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	440 Bigint *b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	441
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	442 wds = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	443 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	444 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	445 carry = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	446 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	447 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	448 y = x (ULLong)m + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	449 carry = y >> 32;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	450 *x++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	451 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	452 xi = *x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	453 y = (xi & 0xffff) * m + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	454 z = (xi >> 16) * m + (y >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	455 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	456 *x++ = (z << 16) + (y & 0xffff);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	457 #endif
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 while(++i < wds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	460 if (carry) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	461 if (wds >= b->maxwds) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	462 b1 = Balloc(b->k+1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	463 if (b1 == NULL){
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	464 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	465 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	466 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	467 Bcopy(b1, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	468 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	469 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	470 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	471 b->x[wds++] = (ULong)carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	472 b->wds = wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	473 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	474 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	475 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	476
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	477 /* 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	478 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	479 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	480 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	481 NULL on failure. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	482
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	483 static Bigint *
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	484 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	485 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	486 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	487 int i, k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	488 Long x, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	489
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	490 x = (nd + 8) / 9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	491 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	492 b = Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	493 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	494 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	495 b->x[0] = y9;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	496 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	497
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	498 if (nd <= 9)
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	499 return b;
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	500
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	501 s += 9;
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	502 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	503 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	504 if (b == NULL)
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	505 return NULL;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	506 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	507 s++;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	508 for(; i < nd; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	509 b = multadd(b, 10, *s++ - '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	510 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	511 return NULL;
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 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	514 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	515
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	516 /* 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	517
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	518 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	519 hi0bits(ULong x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	520 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	521 int k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	522
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	523 if (!(x & 0xffff0000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	524 k = 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	525 x <<= 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	526 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	527 if (!(x & 0xff000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	528 k += 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	529 x <<= 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	530 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	531 if (!(x & 0xf0000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	532 k += 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	533 x <<= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	534 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	535 if (!(x & 0xc0000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	536 k += 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	537 x <<= 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	538 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	539 if (!(x & 0x80000000)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	540 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	541 if (!(x & 0x40000000))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	542 return 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	543 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	544 return k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	545 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	546
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	547 /* 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	548 number of bits. */
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 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	551 lo0bits(ULong *y)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	552 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	553 int k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	554 ULong x = *y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	555
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	556 if (x & 7) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	557 if (x & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	558 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	559 if (x & 2) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	560 *y = x >> 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	561 return 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	562 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	563 *y = x >> 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	564 return 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 k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	567 if (!(x & 0xffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	568 k = 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	569 x >>= 16;
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 if (!(x & 0xff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	572 k += 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	573 x >>= 8;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	574 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	575 if (!(x & 0xf)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	576 k += 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	577 x >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	578 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	579 if (!(x & 0x3)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	580 k += 2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	581 x >>= 2;
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 & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	584 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	585 x >>= 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	586 if (!x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	587 return 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	588 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	589 *y = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	590 return k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	591 }
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 /* 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	594
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	595 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	596 i2b(int i)
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 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	599
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	600 b = Balloc(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	601 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	602 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	603 b->x[0] = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	604 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	605 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	606 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	607
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	608 /* 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	609 the signs of a and b. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	610
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	611 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	612 mult(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	613 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	614 Bigint *c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	615 int k, wa, wb, wc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	616 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	617 ULong y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	618 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	619 ULLong carry, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	620 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	621 ULong carry, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	622 ULong z2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	623 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	624
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	625 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	626 c = Balloc(0);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	627 if (c == NULL)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	628 return NULL;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	629 c->wds = 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	630 c->x[0] = 0;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	631 return c;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	632 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	633
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	634 if (a->wds < b->wds) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	635 c = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	636 a = b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	637 b = c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	638 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	639 k = a->k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	640 wa = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	641 wb = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	642 wc = wa + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	643 if (wc > a->maxwds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	644 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	645 c = Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	646 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	647 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	648 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	649 *x = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	650 xa = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	651 xae = xa + wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	652 xb = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	653 xbe = xb + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	654 xc0 = c->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	655 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	656 for(; xb < xbe; xc0++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	657 if ((y = *xb++)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	658 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	659 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	660 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	661 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	662 z = x++ (ULLong)y + *xc + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	663 carry = z >> 32;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	664 *xc++ = (ULong)(z & FFFFFFFF);
53185 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 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	667 *xc = (ULong)carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	668 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	669 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	670 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	671 for(; xb < xbe; xb++, xc0++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	672 if (y = *xb & 0xffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	673 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	674 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	675 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	676 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	677 z = (x & 0xffff) y + (*xc & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	678 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	679 z2 = (x++ >> 16) y + (*xc >> 16) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	680 carry = z2 >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	681 Storeinc(xc, z2, z);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	682 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	683 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	684 *xc = carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	685 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	686 if (y = *xb >> 16) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	687 x = xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	688 xc = xc0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	689 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	690 z2 = *xc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	691 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	692 z = (x & 0xffff) y + (*xc >> 16) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	693 carry = z >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	694 Storeinc(xc, z, z2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	695 z2 = (x++ >> 16) y + (*xc & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	696 carry = z2 >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	697 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	698 while(x < xae);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	699 *xc = z2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	700 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	701 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	702 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	703 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	704 c->wds = wc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	705 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	706 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	707
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	708 #ifndef Py_USING_MEMORY_DEBUGGER
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	709
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	710 /* 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	711
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	712 static Bigint *p5s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	713
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	714 /* 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	715 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	716 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	717
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	718 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	719 pow5mult(Bigint *b, int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	720 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	721 Bigint b1, p5, *p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	722 int i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	723 static int p05[3] = { 5, 25, 125 };
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 if ((i = k & 3)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	726 b = multadd(b, p05[i-1], 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	727 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	728 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	729 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	730
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	731 if (!(k >>= 2))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	732 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	733 p5 = p5s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	734 if (!p5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	735 /* first time */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	736 p5 = i2b(625);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	737 if (p5 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	738 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	739 return NULL;
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 p5s = p5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	742 p5->next = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	743 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	744 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	745 if (k & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	746 b1 = mult(b, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	747 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	748 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	749 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	750 return NULL;
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 (!(k >>= 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	753 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	754 p51 = p5->next;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	755 if (!p51) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	756 p51 = mult(p5,p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	757 if (p51 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	758 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	759 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	760 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	761 p51->next = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	762 p5->next = p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	763 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	764 p5 = p51;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	765 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	766 return b;
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
58402 3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	769 #else
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	770
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	771 /* 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	772 the benefit of memory debugging tools like Valgrind. */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	773
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	774 static Bigint *
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	775 pow5mult(Bigint *b, int k)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	776 {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	777 Bigint b1, p5, *p51;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	778 int i;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	779 static int p05[3] = { 5, 25, 125 };
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	780
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	781 if ((i = k & 3)) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	782 b = multadd(b, p05[i-1], 0);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	783 if (b == NULL)
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	784 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	785 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	786
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	787 if (!(k >>= 2))
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	788 return b;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	789 p5 = i2b(625);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	790 if (p5 == NULL) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	791 Bfree(b);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	792 return NULL;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	793 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	794
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	795 for(;;) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	796 if (k & 1) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	797 b1 = mult(b, p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	798 Bfree(b);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	799 b = b1;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	800 if (b == NULL) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	801 Bfree(p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	802 return NULL;
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 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	805 if (!(k >>= 1))
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	806 break;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	807 p51 = mult(p5, p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	808 Bfree(p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	809 p5 = p51;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	810 if (p5 == NULL) {
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	811 Bfree(b);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	812 return NULL;
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 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	815 Bfree(p5);
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	816 return b;
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	817 }
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	818
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	819 #endif /* Py_USING_MEMORY_DEBUGGER */
3e629471850a Merged revisions 77589 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58391 diff changeset	820
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	821 /* 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	822 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	823 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	824
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	825 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	826 lshift(Bigint *b, int k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	827 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	828 int i, k1, n, n1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	829 Bigint *b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	830 ULong x, x1, *xe, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	831
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	832 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	833 return b;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	834
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	835 n = k >> 5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	836 k1 = b->k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	837 n1 = n + b->wds + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	838 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	839 k1++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	840 b1 = Balloc(k1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	841 if (b1 == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	842 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	843 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	844 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	845 x1 = b1->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	846 for(i = 0; i < n; i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	847 *x1++ = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	848 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	849 xe = x + b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	850 if (k &= 0x1f) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	851 k1 = 32 - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	852 z = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	853 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	854 x1++ = x << k \| z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	855 z = *x++ >> k1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	856 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	857 while(x < xe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	858 if ((*x1 = z))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	859 ++n1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	860 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	861 else do
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	862 x1++ = x++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	863 while(x < xe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	864 b1->wds = n1 - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	865 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	866 return b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	867 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	868
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	869 /* 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	870 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	871
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	872 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	873 cmp(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	874 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	875 ULong xa, xa0, xb, xb0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	876 int i, j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	877
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	878 i = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	879 j = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	880 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	881 if (i > 1 && !a->x[i-1])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	882 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	883 if (j > 1 && !b->x[j-1])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	884 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	885 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	886 if (i -= j)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	887 return i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	888 xa0 = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	889 xa = xa0 + j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	890 xb0 = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	891 xb = xb0 + j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	892 for(;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	893 if (--xa != --xb)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	894 return xa < xb ? -1 : 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	895 if (xa <= xa0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	896 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	897 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	898 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	899 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	900
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	901 /* 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	902 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	903 result is set appropriately. */
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 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	906 diff(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	907 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	908 Bigint *c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	909 int i, wa, wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	910 ULong xa, xae, xb, xbe, *xc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	911 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	912 ULLong borrow, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	913 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	914 ULong borrow, y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	915 ULong z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	916 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	917
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	918 i = cmp(a,b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	919 if (!i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	920 c = Balloc(0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	921 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	922 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	923 c->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	924 c->x[0] = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	925 return c;
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 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	928 c = a;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	929 a = b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	930 b = c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	931 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	932 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	933 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	934 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	935 c = Balloc(a->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	936 if (c == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	937 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	938 c->sign = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	939 wa = a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	940 xa = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	941 xae = xa + wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	942 wb = b->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	943 xb = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	944 xbe = xb + wb;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	945 xc = c->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	946 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	947 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	948 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	949 y = (ULLong)xa++ - xb++ - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	950 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	951 *xc++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	952 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	953 while(xb < xbe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	954 while(xa < xae) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	955 y = *xa++ - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	956 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	957 *xc++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	958 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	959 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	960 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	961 y = (xa & 0xffff) - (xb & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	962 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	963 z = (xa++ >> 16) - (xb++ >> 16) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	964 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	965 Storeinc(xc, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	966 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	967 while(xb < xbe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	968 while(xa < xae) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	969 y = (*xa & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	970 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	971 z = (*xa++ >> 16) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	972 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	973 Storeinc(xc, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	974 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	975 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	976 while(!*--xc)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	977 wa--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	978 c->wds = wa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	979 return c;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	980 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	981
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	982 /* 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	983 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	984
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	985 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	986 ulp(U *x)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	987 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	988 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	989 U u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	990
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	991 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	992 word0(&u) = L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	993 word1(&u) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	994 return dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	995 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	996
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	997 /* 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	998
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	999 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1000 b2d(Bigint a, int e)
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 ULong xa, xa0, w, y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1003 int k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1004 U d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1005
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1006 xa0 = a->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1007 xa = xa0 + a->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1008 y = *--xa;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1009 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1010 if (!y) Bug("zero y in b2d");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1011 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1012 k = hi0bits(y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1013 *e = 32 - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1014 if (k < Ebits) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1015 word0(&d) = Exp_1 \| y >> (Ebits - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1016 w = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1017 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	1018 goto ret_d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1019 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1020 z = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1021 if (k -= Ebits) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1022 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	1023 y = xa > xa0 ? *--xa : 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1024 word1(&d) = z << k \| y >> (32 - k);
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1027 word0(&d) = Exp_1 \| y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1028 word1(&d) = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1029 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1030 ret_d:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1031 return dval(&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
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1034 /* 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	1035 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	1036 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	1037 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	1038 / 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	1039
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1040 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	1041
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1042 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	1043
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1044 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	1045 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	1046 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	1047 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	1048
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1049 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	1050 2e gives ulp(d/2scale).
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1051
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1052 Returns NULL on failure.
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1053 */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1054
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1055 static Bigint *
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1056 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	1057 {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1058 Bigint *b;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1059
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1060 b = Balloc(1);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1061 if (b == NULL)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1062 return NULL;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1063
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1064 /* 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	1065 b->wds = 2;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1066 b->x[0] = word1(d);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1067 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	1068 *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	1069 if (*e < Etiny)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1070 *e = Etiny;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1071 else
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1072 b->x[1] \|= Exp_msk1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1073
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1074 /* 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	1075 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	1076 *e -= scale;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1077 if (*e < Etiny) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1078 scale = Etiny - *e;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1079 *e = Etiny;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1080 /* 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	1081 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	1082 if (scale >= 32) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1083 /* 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	1084 assert(b->x[0] == 0);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1085 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	1086 b->x[1] = 0;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1087 scale -= 32;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1088 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1089 if (scale) {
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1090 /* 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	1091 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	1092 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	1093 b->x[1] >>= scale;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1094 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1095 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1096 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1097 /* Ensure b is normalized. */
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1098 if (!b->x[1])
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1099 b->wds = 1;
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 return b;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1102 }
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1103
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1104 /* 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	1105
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1106 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	1107 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	1108 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	1109
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1110 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	1111 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1112
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1113 static Bigint *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1114 d2b(U d, int e, int *bits)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1115 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1116 Bigint *b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1117 int de, k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1118 ULong *x, y, z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1119 int i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1120
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1121 b = Balloc(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1122 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1123 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1124 x = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1125
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1126 z = word0(d) & Frac_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1127 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	1128 if ((de = (int)(word0(d) >> Exp_shift)))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1129 z \|= Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1130 if ((y = word1(d))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1131 if ((k = lo0bits(&y))) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1132 x[0] = y \| z << (32 - k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1133 z >>= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1134 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1135 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1136 x[0] = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1137 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1138 b->wds = (x[1] = z) ? 2 : 1;
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1141 k = lo0bits(&z);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1142 x[0] = z;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1143 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1144 b->wds = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1145 k += 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1146 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1147 if (de) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1148 *e = de - Bias - (P-1) + k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1149 *bits = P - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1150 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1151 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1152 *e = de - Bias - (P-1) + 1 + k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1153 bits = 32i - hi0bits(x[i-1]);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1154 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1155 return b;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1156 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1157
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1158 /* 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	1159 error of up to 2.5 ulps. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1160
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1161 static double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1162 ratio(Bigint a, Bigint b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1163 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1164 U da, db;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1165 int k, ka, kb;
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 dval(&da) = b2d(a, &ka);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1168 dval(&db) = b2d(b, &kb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1169 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	1170 if (k > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1171 word0(&da) += k*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1172 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1173 k = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1174 word0(&db) += k*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1175 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1176 return dval(&da) / dval(&db);
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1179 static const double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1180 tens[] = {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1181 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	1182 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	1183 1e20, 1e21, 1e22
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1186 static const double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1187 bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1188 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	1189 9007199254740992.*9007199254740992.e-256
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1190 /* = 2^106 * 1e-256 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1191 };
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1192 /* 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	1193 /* 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	1194 #define Scale_Bit 0x10
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1195 #define n_bigtens 5
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1196
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1197 #define ULbits 32
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1198 #define kshift 5
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1199 #define kmask 31
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1200
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1201
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1202 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1203 dshift(Bigint *b, int p2)
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 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	1206 if (p2 > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1207 rv -= p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1208 return rv & kmask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1209 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1210
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1211 /* 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	1212 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	1213 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	1214
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1215 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1216 quorem(Bigint b, Bigint S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1217 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1218 int n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1219 ULong bx, bxe, q, sx, sxe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1220 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1221 ULLong borrow, carry, y, ys;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1222 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1223 ULong borrow, carry, y, ys;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1224 ULong si, z, zs;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1225 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1226
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1227 n = S->wds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1228 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1229 /debug/ if (b->wds > n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1230 /debug/ Bug("oversize b in quorem");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1231 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1232 if (b->wds < n)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1233 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1234 sx = S->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1235 sxe = sx + --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1236 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1237 bxe = bx + n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1238 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	1239 #ifdef DEBUG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1240 /debug/ if (q > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1241 /debug/ Bug("oversized quotient in quorem");
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1242 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1243 if (q) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1244 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1245 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1246 do {
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 ys = sx++ (ULLong)q + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1249 carry = ys >> 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1250 y = *bx - (ys & FFFFFFFF) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1251 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	1252 *bx++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1253 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1254 si = *sx++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1255 ys = (si & 0xffff) * q + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1256 zs = (si >> 16) * q + (ys >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1257 carry = zs >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1258 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1259 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1260 z = (*bx >> 16) - (zs & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1261 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1262 Storeinc(bx, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1263 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1264 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1265 while(sx <= sxe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1266 if (!*bxe) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1267 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1268 while(--bxe > bx && !*bxe)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1269 --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1270 b->wds = n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1271 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1272 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1273 if (cmp(b, S) >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1274 q++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1275 borrow = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1276 carry = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1277 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1278 sx = S->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1279 do {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1280 #ifdef ULLong
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1281 ys = *sx++ + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1282 carry = ys >> 32;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1283 y = *bx - (ys & FFFFFFFF) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1284 borrow = y >> 32 & (ULong)1;
53207 fe99a562b708 Silence compiler warnings on VS8.0 Mark Dickinson <dickinsm@gmail.com> parents: 53203 diff changeset	1285 *bx++ = (ULong)(y & FFFFFFFF);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1286 #else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1287 si = *sx++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1288 ys = (si & 0xffff) + carry;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1289 zs = (si >> 16) + (ys >> 16);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1290 carry = zs >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1291 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1292 borrow = (y & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1293 z = (*bx >> 16) - (zs & 0xffff) - borrow;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1294 borrow = (z & 0x10000) >> 16;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1295 Storeinc(bx, z, y);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1296 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1297 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1298 while(sx <= sxe);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1299 bx = b->x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1300 bxe = bx + n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1301 if (!*bxe) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1302 while(--bxe > bx && !*bxe)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1303 --n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1304 b->wds = n;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1305 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1306 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1307 return q;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1308 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1309
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1310 /* 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	1311
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1312 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	1313 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	1314 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	1315
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1316 static double
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1317 sulp(U x, BCinfo bc)
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1318 {
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1319 U u;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1320
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1321 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	1322 /* 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	1323 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	1324 word1(&u) = 0;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1325 return u.d;
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1326 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1327 else {
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1328 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	1329 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	1330 }
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1331 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1332
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1333 /* 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	1334 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	1335 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	1336 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	1337
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1338 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	1339 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	1340 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	1341 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	1342 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	1343 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	1344
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1345 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	1346 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	1347
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1348 Inputs:
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1349
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1350 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	1351
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1352 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	1353 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	1354 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	1355 the input value.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1356
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1357 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	1358 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	1359
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1360 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	1361 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	1362
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1363 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	1364 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	1365
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1366 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	1367 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	1368 bc->nd.
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1369
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1370 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	1371 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	1372
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1373 Outputs:
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 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	1376
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1377 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	1378
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1379 static int
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1380 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	1381 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1382 Bigint b, d;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1383 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	1384
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1385 nd = bc->nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1386 nd0 = bc->nd0;
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1387 p5 = nd + bc->e0;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1388 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	1389 if (b == NULL)
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1390 return -1;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1391
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1392 /* 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	1393 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	1394 odd = b->x[0] & 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1395
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1396 /* 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	1397 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	1398 b = lshift(b, 1);
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1399 if (b == NULL)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1400 return -1;
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1401 b->x[0] \|= 1;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1402 p2--;
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1403
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1404 p2 -= p5;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1405 d = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1406 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1407 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1408 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1409 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1410 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1411 * 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	1412 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1413 if (p5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1414 d = pow5mult(d, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1415 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1416 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1417 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1418 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1419 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1420 else if (p5 < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1421 b = pow5mult(b, -p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1422 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1423 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1424 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1425 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1426 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1427 if (p2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1428 b2 = p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1429 d2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1430 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1431 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1432 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1433 d2 = -p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1434 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1435 i = dshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1436 if ((b2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1437 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1438 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1439 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1440 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1441 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1442 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1443 if ((d2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1444 d = lshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1445 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1446 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1447 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1448 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1449 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1450
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1451 /* 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	1452 * 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	1453 * 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	1454 if (cmp(b, d) >= 0)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1455 /* b/d >= 1 */
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1456 dd = -1;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1457 else {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1458 i = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1459 for(;;) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1460 b = multadd(b, 10, 0);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1461 if (b == NULL) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1462 Bfree(d);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1463 return -1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1464 }
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1465 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	1466 i++;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1467
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1468 if (dd)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1469 break;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1470 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	1471 /* b/d == 0 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1472 dd = i < nd;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1473 break;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1474 }
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1475 if (!(i < nd)) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1476 /* 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	1477 dd = -1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1478 break;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1479 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1480 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1481 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1482 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1483 Bfree(d);
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1484 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	1485 dval(rv) += sulp(rv, bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1486 return 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1487 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1488
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1489 double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1490 _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	1491 {
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1492 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	1493 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	1494 const char s, s0, *s1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1495 double aadj, aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1496 U aadj2, adj, rv, rv0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1497 ULong y, z, abs_exp;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1498 Long L;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1499 BCinfo bc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1500 Bigint bb, bb1, bd, bd0, bs, delta;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1501
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1502 dval(&rv) = 0.;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1503
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1504 /* Start parsing. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1505 c = *(s = s00);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1506
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1507 /* Parse optional sign, if present. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1508 sign = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1509 switch (c) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1510 case '-':
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1511 sign = 1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1512 /* no break */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1513 case '+':
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1514 c = *++s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1515 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1516
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1517 /* 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	1518 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1519 while (c == '0')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1520 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1521 lz = s != s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1522
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1523 /* Point s0 at the first nonzero digit (if any). nd0 will be the position
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1524 of the point relative to s0. nd will be the total number of digits
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1525 ignoring leading zeros. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1526 s0 = s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1527 while ('0' <= c && c <= '9')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1528 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1529 nd0 = nd = s - s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1530
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1531 /* Parse decimal point and following digits. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1532 if (c == '.') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1533 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1534 if (!nd) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1535 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1536 while (c == '0')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1537 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1538 lz = lz \|\| s != s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1539 nd0 -= s - s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1540 s0 = s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1541 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1542 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1543 while ('0' <= c && c <= '9')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1544 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1545 nd += s - s1;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1546 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1547
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1548 /* Now lz is true if and only if there were leading zero digits, and nd
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1549 gives the total number of digits ignoring leading zeros. A valid input
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1550 must have at least one digit. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1551 if (!nd && !lz) {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1552 if (se)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1553 se = (char )s00;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1554 goto parse_error;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1555 }
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1556
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1557 /* Parse exponent. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1558 e = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1559 if (c == 'e' \|\| c == 'E') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1560 s00 = s;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1561 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1562
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1563 /* Exponent sign. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1564 esign = 0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1565 switch (c) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1566 case '-':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1567 esign = 1;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1568 /* no break */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1569 case '+':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1570 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1571 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1572
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1573 /* 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	1574 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1575 while (c == '0')
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1576 c = *++s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1577 lz = s != s1;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1578
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1579 /* Get absolute value of the exponent. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1580 s1 = s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1581 abs_exp = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1582 while ('0' <= c && c <= '9') {
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1583 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	1584 c = *++s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1585 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1586
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1587 /* 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	1588 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	1589 impossible. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1590 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	1591 e = (int)MAX_ABS_EXP;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1592 else
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1593 e = (int)abs_exp;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1594 if (esign)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1595 e = -e;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1596
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1597 /* 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	1598 if (s == s1 && !lz)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1599 s = s00;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1600 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1601
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1602 /* 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	1603 e -= nd - nd0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1604 if (nd0 <= 0)
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1605 nd0 = nd;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1606
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1607 /* 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	1608 if (se)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1609 se = (char )s;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1610
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1611 /* 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	1612 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	1613 if (!nd)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1614 goto ret;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1615 for (i = nd; i > 0; ) {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1616 --i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1617 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	1618 ++i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1619 break;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1620 }
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1621 }
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1622 e += nd - i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1623 nd = i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1624 if (nd0 > nd)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1625 nd0 = nd;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1626
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1627 /* 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	1628 * 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	1629 *
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1630 * - 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	1631 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1632 * - 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	1633 * 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	1634 * 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	1635 * and trailing zeros).
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1636 *
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1637 * - 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	1638 * 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	1639 * 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	1640 * 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	1641 * 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	1642 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1643 * - 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	1644 * 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	1645 * 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	1646 * 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	1647 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1648 * - 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	1649 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1650 * - 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	1651 */
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1652
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1653 /* 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	1654 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1655 * - 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	1656 * significant digits
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1657 *
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1658 * - 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	1659 * 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	1660 * 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	1661 */
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1662
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1663 bc.e0 = e1 = e;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1664 y = z = 0;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1665 for (i = 0; i < nd; i++) {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1666 if (i < 9)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1667 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	1668 else if (i < DBL_DIG+1)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1669 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	1670 else
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1671 break;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1672 }
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1673
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1674 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	1675 dval(&rv) = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1676 if (k > 9) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1677 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	1678 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1679 bd0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1680 if (nd <= DBL_DIG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1681 && Flt_Rounds == 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1682 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1683 if (!e)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1684 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1685 if (e > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1686 if (e <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1687 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1688 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1689 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1690 i = DBL_DIG - nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1691 if (e <= Ten_pmax + i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1692 /* 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	1693 * this for larger i values.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1694 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1695 e -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1696 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1697 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1698 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1699 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1700 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1701 else if (e >= -Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1702 dval(&rv) /= tens[-e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1703 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1704 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1705 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1706 e1 += nd - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1707
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1708 bc.scale = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1709
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1710 /* Get starting approximation = rv * 10*e1 /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1711
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1712 if (e1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1713 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1714 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1715 if (e1 &= ~15) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1716 if (e1 > DBL_MAX_10_EXP)
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1717 goto ovfl;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1718 e1 >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1719 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	1720 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1721 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1722 /* The last multiplication could overflow. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1723 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1724 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1725 if ((z = word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1726 > Exp_msk1*(DBL_MAX_EXP+Bias-P))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1727 goto ovfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1728 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	1729 /* set to largest number */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1730 /* (Can't trust DBL_MAX) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1731 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1732 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1733 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1734 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1735 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1736 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1737 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1738 else if (e1 < 0) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1739 /* 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	1740
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1741 If e1 <= -512, underflow immediately.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1742 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	1743
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1744 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	1745 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	1746 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	1747 not be set. */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1748
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1749 e1 = -e1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1750 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1751 dval(&rv) /= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1752 if (e1 >>= 4) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1753 if (e1 >= 1 << n_bigtens)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1754 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1755 if (e1 & Scale_Bit)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1756 bc.scale = 2*P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1757 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	1758 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1759 dval(&rv) *= tinytens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1760 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	1761 >> Exp_shift)) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1762 /* 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	1763 if (j >= 32) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1764 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1765 if (j >= 53)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1766 word0(&rv) = (P+2)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1767 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1768 word0(&rv) &= 0xffffffff << (j-32);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1769 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1770 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1771 word1(&rv) &= 0xffffffff << j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1772 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1773 if (!dval(&rv))
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1774 goto undfl;
53185 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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1778 /* 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	1779
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1780 /* 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	1781
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1782 bc.nd = nd;
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1783 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	1784 /* 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	1785 /* possibly not being initialized. */
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1786 if (nd > STRTOD_DIGLIM) {
c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1787 /* 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	1788 /* 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	1789 /* in IEEE arithmetic. */
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1790
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1791 /* 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	1792 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	1793 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	1794 for (i = 18; i > 0; ) {
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1795 /* 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	1796 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	1797 --i;
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1798 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	1799 ++i;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1800 break;
58360 6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1801 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1802 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1803 e += nd - i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1804 nd = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1805 if (nd0 > nd)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1806 nd0 = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1807 if (nd < 9) { /* must recompute y */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1808 y = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1809 for(i = 0; i < nd0; ++i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1810 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	1811 for(; i < nd; ++i)
6351d3d53ded Merged revisions 77519,77530,77533 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58320 diff changeset	1812 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	1813 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1814 }
58320 ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1815 bd0 = s2b(s0, nd0, nd, y);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1816 if (bd0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1817 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1818
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1819 /* Notation for the comments below. Write:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1820
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1821 - 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	1822 decimal input string.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1823
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1824 - 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	1825 Otherwise, set tdv == dv.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1826
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1827 - 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	1828 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	1829 in an IEEE 754 double.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1830 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1831
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1832 for(;;) {
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1833
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1834 /* 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	1835
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1836 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	1837 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	1838 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	1839 approximation if not.
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1840
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1841 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	1842 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	1843 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	1844 \|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	1845 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1846
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1847 bd = Balloc(bd0->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1848 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1849 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1850 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1851 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1852 Bcopy(bd, bd0);
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1853 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	1854 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1855 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1856 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1857 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1858 }
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1859 /* 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	1860 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	1861 odd = bb->x[0] & 1;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1862
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1863 /* 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	1864 bs = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1865 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1866 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1867 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1868 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1869 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1870 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1871
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1872 if (e >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1873 bb2 = bb5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1874 bd2 = bd5 = e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1875 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1876 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1877 bb2 = bb5 = -e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1878 bd2 = bd5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1879 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1880 if (bbe >= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1881 bb2 += bbe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1882 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1883 bd2 -= bbe;
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1884 bs2 = bb2;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1885 bb2++;
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1886 bd2++;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1887
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1888 /* At this stage bd5 - bb5 == e == bd2 - bb2 + bbe, bb2 - bs2 == 1,
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1889 and bs == 1, so:
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1890
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1891 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	1892 srv == bb * 2*bbe = bb 2**(bbe - bb2 + bb2)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1893 0.5 ulp(srv) == 2*(bbe-1) = bs 2**(bbe - bb2 + bs2)
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1894
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1895 It follows that:
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1896
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1897 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	1898 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	1899 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	1900
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1901 for some constant M. (Actually, M == 2*(bb2 - bbe) 5**bb5, but
be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1902 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	1903 */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1904
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	1905 /* 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	1906 i = bb2 < bd2 ? bb2 : bd2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1907 if (i > bs2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1908 i = bs2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1909 if (i > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1910 bb2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1911 bd2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1912 bs2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1913 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1914
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1915 /* 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	1916 if (bb5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1917 bs = pow5mult(bs, bb5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1918 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1919 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1920 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1921 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1922 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1923 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1924 bb1 = mult(bs, bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1925 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1926 bb = bb1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1927 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1928 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1929 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1930 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1931 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1932 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1933 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1934 if (bb2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1935 bb = lshift(bb, bb2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1936 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1937 Bfree(bs);
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 (bd5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1944 bd = pow5mult(bd, bd5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1945 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1946 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1947 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1948 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1949 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1952 if (bd2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1953 bd = lshift(bd, bd2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1954 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1955 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1956 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1957 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1958 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1959 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1960 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1961 if (bs2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1962 bs = lshift(bs, bs2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1963 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1964 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1965 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1966 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1967 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1968 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1969 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1970
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1971 /* 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	1972 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	1973 with 0.5 ulp(srv). */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1974
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1975 delta = diff(bb, bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1976 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1977 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1978 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1979 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1980 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1981 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1982 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	1983 dsign = delta->sign;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1984 delta->sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1985 i = cmp(delta, bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1986 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	1987 if (dsign)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1988 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	1989
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1990 /* 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	1991 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	1992 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	1993 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	1994 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	1995
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	1996 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	1997 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	1998 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	1999 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	2000
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2001 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	2002 /* 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	2003 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	2004 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	2005 /* 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	2006 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	2007 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	2008 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	2009 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	2010 }
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2011 }
ce11c1270b69 Merged revisions 77477-77478,77481-77483,77490-77493 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58279 diff changeset	2012
53185 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 bc.nd = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2015 i = -1; /* Discarded digits make delta smaller. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2016 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2017 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2018
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2019 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2020 /* 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	2021 * 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	2022 */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2023 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	2024 \|\| (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	2025 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2026 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2027 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2028 if (!delta->x[0] && delta->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2029 /* exact result */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2030 break;
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 delta = lshift(delta,Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2033 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2034 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2035 Bfree(bs);
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 if (cmp(delta, bs) > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2041 goto drop_down;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2042 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2043 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2044 if (i == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2045 /* exactly half-way between */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2046 if (dsign) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2047 if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2048 && word1(&rv) == (
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2049 (bc.scale &&
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2050 (y = word0(&rv) & Exp_mask) <= 2PExp_msk1) ?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2051 (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	2052 0xffffffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2053 /boundary case -- increment exponent/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2054 word0(&rv) = (word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2055 + Exp_msk1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2056 ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2057 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	2058 /* dsign = 0; */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2059 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2060 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2061 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2062 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	2063 drop_down:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2064 /* boundary case -- decrement exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2065 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2066 L = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2067 if (L <= (2P+1)Exp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2068 if (L > (P+2)*Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2069 /* round even ==> */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2070 /* accept rv */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2071 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2072 /* rv = smallest denormal */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2073 if (bc.nd > nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2074 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2075 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2076 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2077 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2078 L = (word0(&rv) & Exp_mask) - Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2079 word0(&rv) = L \| Bndry_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2080 word1(&rv) = 0xffffffff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2081 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2082 }
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	2083 if (!odd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2084 break;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2085 if (dsign)
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	2086 dval(&rv) += sulp(&rv, &bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2087 else {
58467 be12d3621519 Merged revisions 77691,77698,77713-77714 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58427 diff changeset	2088 dval(&rv) -= sulp(&rv, &bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2089 if (!dval(&rv)) {
58279 c32d3b08fcdc Merged revisions 77410,77421,77450-77451 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	2090 if (bc.nd >nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2091 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2092 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2093 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2094 }
68102 e2f96bd29252 Issue #8914: fix various warnings from the Clang static analyzer v254. Brett Cannon <bcannon@gmail.com> parents: 61547 diff changeset	2095 /* dsign = 1 - dsign; */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2096 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2097 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2098 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	2099 if (dsign)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2100 aadj = aadj1 = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2101 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	2102 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	2103 if (bc.nd >nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2104 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2105 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2106 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2107 aadj = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2108 aadj1 = -1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2109 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2110 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2111 /* 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	2112 /* rounded down... */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2113
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2114 if (aadj < 2./FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2115 aadj = 1./FLT_RADIX;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2116 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2117 aadj *= 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2118 aadj1 = -aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2119 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2120 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2121 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2122 aadj *= 0.5;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2123 aadj1 = dsign ? aadj : -aadj;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2124 if (Flt_Rounds == 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2125 aadj1 += 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2126 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2127 y = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2128
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2129 /* Check for overflow */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2130
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2131 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	2132 dval(&rv0) = dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2133 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2134 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2135 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2136 if ((word0(&rv) & Exp_mask) >=
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2137 Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
58391 b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2138 if (word0(&rv0) == Big0 && word1(&rv0) == Big1) {
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2139 Bfree(bb);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2140 Bfree(bd);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2141 Bfree(bs);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2142 Bfree(bd0);
b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2143 Bfree(delta);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2144 goto ovfl;
58391 b9888c1339df Merged revisions 77578 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58360 diff changeset	2145 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2146 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2147 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2148 goto cont;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2149 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2150 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2151 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2152 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2153 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2154 if (bc.scale && y <= 2PExp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2155 if (aadj <= 0x7fffffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2156 if ((z = (ULong)aadj) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2157 z = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2158 aadj = z;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2159 aadj1 = dsign ? aadj : -aadj;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2160 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2161 dval(&aadj2) = aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2162 word0(&aadj2) += (2P+1)Exp_msk1 - y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2163 aadj1 = dval(&aadj2);
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 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2166 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2167 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2168 z = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2169 if (bc.nd == nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2170 if (!bc.scale)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2171 if (y == z) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2172 /* Can we stop now? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2173 L = (Long)aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2174 aadj -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2175 /* The tolerances below are conservative. */
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2176 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	2177 if (aadj < .4999999 \|\| aadj > .5000001)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2178 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2179 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2180 else if (aadj < .4999999/FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2181 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2182 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2183 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2184 cont:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2185 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2186 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2187 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2188 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2189 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2190 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2191 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2192 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2193 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2194 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2195 if (bc.nd > nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2196 error = bigcomp(&rv, s0, &bc);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2197 if (error)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2198 goto failed_malloc;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2201 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2202 word0(&rv0) = Exp_1 - 2PExp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2203 word1(&rv0) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2204 dval(&rv) *= dval(&rv0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2205 }
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2206
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2207 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2208 return sign ? -dval(&rv) : dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2209
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2210 parse_error:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2211 return 0.0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2212
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2213 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2214 errno = ENOMEM;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2215 return -1.0;
58427 f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2216
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2217 undfl:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2218 return sign ? -0.0 : 0.0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2219
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2220 ovfl:
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2221 errno = ERANGE;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2222 /* Can't trust HUGE_VAL */
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2223 word0(&rv) = Exp_mask;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2224 word1(&rv) = 0;
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2225 return sign ? -dval(&rv) : dval(&rv);
f38c1196d9ff Merged revisions 77614-77616,77663 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58402 diff changeset	2226
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2227 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2228
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2229 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2230 rv_alloc(int i)
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 int j, k, *r;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2233
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2234 j = sizeof(ULong);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2235 for(k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2236 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	2237 j <<= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2238 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2239 r = (int*)Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2240 if (r == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2241 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2242 *r = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2243 return (char *)(r+1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2244 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2245
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2246 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2247 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	2248 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2249 char rv, t;
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 rv = rv_alloc(n);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2252 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2253 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2254 t = rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2255 while((t = s++)) t++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2256 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2257 *rve = t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2258 return rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2259 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2260
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2261 /* 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	2262 * 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	2263 * 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	2264 * when MULTIPLE_THREADS is not defined.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2265 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2266
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2267 void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2268 _Py_dg_freedtoa(char *s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2269 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2270 Bigint b = (Bigint )((int *)s - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2271 b->maxwds = 1 << (b->k = (int)b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2272 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2273 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2274
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2275 /* 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	2276 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2277 * 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	2278 * 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	2279 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2280 * Modifications:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2281 * 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	2282 * 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	2283 * 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	2284 * 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	2285 * 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	2286 * 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	2287 * 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	2288 * 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	2289 * 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	2290 * 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	2291 * 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	2292 * 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	2293 * inequality.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2294 * 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	2295 * quantities.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2296 * 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	2297 * 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	2298 * to multiple-precision integers.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2299 * 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	2300 * 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	2301 * 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	2302 * 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	2303 * 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	2304 * "uniformly" distributed input, the probability is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2305 * 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	2306 * calculation.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2307 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2308
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2309 /* 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	2310 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	2311 call to _Py_dg_freedtoa. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2312
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2313 char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2314 _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	2315 int decpt, int sign, char **rve)
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 /* 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	2318 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	2319 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	2320 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	2321 then *decpt is set to 9999.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2322
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2323 mode:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2324 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	2325 and rounded to nearest.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2326 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	2327 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	2328 1e23 whereas mode 1 gives 9.999999999999999e22.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2329 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	2330 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	2331 that trailing zeros are suppressed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2332 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	2333 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	2334 except that trailing zeros are suppressed, and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2335 ndigits can be negative.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2336 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	2337 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	2338 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	2339 With IEEE arithmetic and compilation with
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2340 -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	2341 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	2342 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	2343 fast floating-point estimate (if applicable).
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 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	2346
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2347 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	2348 to hold the suppressed trailing zeros.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2349 */
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 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	2352 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	2353 spec_case, try_quick;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2354 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2355 int denorm;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2356 ULong x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2357 Bigint b, b1, delta, mlo, mhi, S;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2358 U d2, eps, u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2359 double ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2360 char s, s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2361
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2362 /* 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	2363 cleanup easier on error */
61547 8410f83fd159 Remove unnecessary assignments. Mark Dickinson <dickinsm@gmail.com> parents: 58467 diff changeset	2364 mlo = mhi = S = 0;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2365 s0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2366
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2367 u.d = dd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2368 if (word0(&u) & Sign_bit) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2369 /* 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	2370 *sign = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2371 word0(&u) &= ~Sign_bit; /* clear sign bit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2372 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2373 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2374 *sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2375
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2376 /* quick return for Infinities, NaNs and zeros */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2377 if ((word0(&u) & Exp_mask) == Exp_mask)
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 /* Infinity or NaN */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2380 *decpt = 9999;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2381 if (!word1(&u) && !(word0(&u) & 0xfffff))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2382 return nrv_alloc("Infinity", rve, 8);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2383 return nrv_alloc("NaN", rve, 3);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2384 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2385 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2386 *decpt = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2387 return nrv_alloc("0", rve, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2388 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2389
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2390 /* 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	2391 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	2392 b = d2b(&u, &be, &bbits);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2393 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2394 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2395 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	2396 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2397 word0(&d2) &= Frac_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2398 word0(&d2) \|= Exp_11;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2399
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2400 /* 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	2401 * log10(x) = log(x) / log(10)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2402 * ~=~ 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	2403 * 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	2404 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2405 * 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	2406 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2407 * k = (i - Bias)*0.301029995663981
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2408 * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2409 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2410 * 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	2411 * 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	2412 * 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	2413 * 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	2414 * (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	2415 * 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	2416 * 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	2417 * 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	2418 * (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	2419 * but this is probably not worthwhile.)
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 i -= Bias;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2423 denorm = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2424 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2425 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2426 /* d is denormalized */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2427
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2428 i = bbits + be + (Bias + (P-1) - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2429 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	2430 : word1(&u) << (32 - i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2431 dval(&d2) = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2432 word0(&d2) -= 31Exp_msk1; / adjust exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2433 i -= (Bias + (P-1) - 1) + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2434 denorm = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2435 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2436 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	2437 i*0.301029995663981;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2438 k = (int)ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2439 if (ds < 0. && ds != k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2440 k--; /* want k = floor(ds) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2441 k_check = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2442 if (k >= 0 && k <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2443 if (dval(&u) < tens[k])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2444 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2445 k_check = 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 j = bbits - i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2448 if (j >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2449 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2450 s2 = j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2451 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2452 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2453 b2 = -j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2454 s2 = 0;
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 (k >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2457 b5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2458 s5 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2459 s2 += k;
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2462 b2 -= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2463 b5 = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2464 s5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2465 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2466 if (mode < 0 \|\| mode > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2467 mode = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2468
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2469 try_quick = 1;
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 if (mode > 5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2472 mode -= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2473 try_quick = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2474 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2475 leftright = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2476 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	2477 /* silence erroneous "gcc -Wall" warning. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2478 switch(mode) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2479 case 0:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2480 case 1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2481 i = 18;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2482 ndigits = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2483 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2484 case 2:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2485 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2486 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2487 case 4:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2488 if (ndigits <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2489 ndigits = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2490 ilim = ilim1 = i = ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2491 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2492 case 3:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2493 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2494 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2495 case 5:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2496 i = ndigits + k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2497 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2498 ilim1 = i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2499 if (i <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2500 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2501 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2502 s0 = rv_alloc(i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2503 if (s0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2504 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2505 s = s0;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2508 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	2509
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2510 /* 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	2511
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2512 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2513 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2514 k0 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2515 ilim0 = ilim;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2516 ieps = 2; /* conservative */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2517 if (k > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2518 ds = tens[k&0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2519 j = k >> 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2520 if (j & Bletch) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2521 /* prevent overflows */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2522 j &= Bletch - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2523 dval(&u) /= bigtens[n_bigtens-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2524 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2525 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2526 for(; j; j >>= 1, i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2527 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2528 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2529 ds *= bigtens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2530 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2531 dval(&u) /= ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2532 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2533 else if ((j1 = -k)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2534 dval(&u) *= tens[j1 & 0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2535 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	2536 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2537 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2538 dval(&u) *= bigtens[i];
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2541 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	2542 if (ilim1 <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2543 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2544 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2545 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2546 dval(&u) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2547 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2548 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2549 dval(&eps) = ieps*dval(&u) + 7.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2550 word0(&eps) -= (P-1)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2551 if (ilim == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2552 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2553 dval(&u) -= 5.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2554 if (dval(&u) > dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2555 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2556 if (dval(&u) < -dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2557 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2558 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2559 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2560 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2561 /* Use Steele & White method of only
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2562 * generating digits needed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2563 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2564 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	2565 for(i = 0;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2566 L = (Long)dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2567 dval(&u) -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2568 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2569 if (dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2570 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2571 if (1. - dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2572 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2573 if (++i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2574 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2575 dval(&eps) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2576 dval(&u) *= 10.;
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2580 /* Generate ilim digits, then fix them up. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2581 dval(&eps) *= tens[ilim-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2582 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2583 L = (Long)(dval(&u));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2584 if (!(dval(&u) -= L))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2585 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2586 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2587 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2588 if (dval(&u) > 0.5 + dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2589 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2590 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	2591 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2592 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2593 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2594 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2595 break;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2598 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2599 fast_failed:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2600 s = s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2601 dval(&u) = dval(&d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2602 k = k0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2603 ilim = ilim0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2604 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2605
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2606 /* Do we have a "small" integer? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2607
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2608 if (be >= 0 && k <= Int_max) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2609 /* Yes. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2610 ds = tens[k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2611 if (ndigits < 0 && ilim <= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2612 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2613 if (ilim < 0 \|\| dval(&u) <= 5*ds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2614 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2615 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2616 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2617 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2618 L = (Long)(dval(&u) / ds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2619 dval(&u) -= L*ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2620 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2621 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2622 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2623 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2624 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2625 dval(&u) += dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2626 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	2627 bump_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2628 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2629 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2630 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2631 *s = '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2632 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2633 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2634 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2635 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2636 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2637 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2638 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2639 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2640 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2641
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2642 m2 = b2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2643 m5 = b5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2644 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2645 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2646 denorm ? be + (Bias + (P-1) - 1 + 1) :
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2647 1 + P - bbits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2648 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2649 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2650 mhi = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2651 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2652 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2653 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2654 if (m2 > 0 && s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2655 i = m2 < s2 ? m2 : s2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2656 b2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2657 m2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2658 s2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2659 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2660 if (b5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2661 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2662 if (m5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2663 mhi = pow5mult(mhi, m5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2664 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2665 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2666 b1 = mult(mhi, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2667 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2668 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2669 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2670 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2671 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2672 if ((j = b5 - m5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2673 b = pow5mult(b, j);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2674 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2675 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2678 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2679 b = pow5mult(b, b5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2680 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2681 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2682 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2683 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2684 S = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2685 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2686 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2687 if (s5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2688 S = pow5mult(S, s5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2689 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2690 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2691 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2692
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2693 /* 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	2694
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2695 spec_case = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2696 if ((mode < 2 \|\| leftright)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2697 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2698 if (!word1(&u) && !(word0(&u) & Bndry_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2699 && word0(&u) & (Exp_mask & ~Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2700 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2701 /* The special case */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2702 b2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2703 s2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2704 spec_case = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2705 }
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2708 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2709 * 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	2710 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2711 * 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	2712 * 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	2713 * 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	2714 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2715 #define iInc 28
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2716 i = dshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2717 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2718 m2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2719 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2720 if (b2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2721 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2722 if (b == 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 (s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2726 S = lshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2727 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2728 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2729 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2730 if (k_check) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2731 if (cmp(b,S) < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2732 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2733 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	2734 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2735 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2736 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2737 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2738 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2739 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2740 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2741 ilim = ilim1;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2744 if (ilim <= 0 && (mode == 3 \|\| mode == 5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2745 if (ilim < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2746 /* no digits, fcvt style */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2747 no_digits:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2748 k = -1 - ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2749 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2750 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2751 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2752 S = multadd(S, 5, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2753 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2754 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2755 if (cmp(b, S) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2756 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2757 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2758 one_digit:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2759 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2760 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2761 goto ret;
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 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2764 if (m2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2765 mhi = lshift(mhi, m2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2766 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2767 goto failed_malloc;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2770 /* Compute mlo -- check for special case
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2771 * 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	2772 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2773
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2774 mlo = mhi;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2775 if (spec_case) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2776 mhi = Balloc(mhi->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2777 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2778 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2779 Bcopy(mhi, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2780 mhi = lshift(mhi, Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2781 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2782 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2783 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2784
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2785 for(i = 1;;i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2786 dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2787 /* 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	2788 * that will round to d?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2789 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2790 j = cmp(b, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2791 delta = diff(S, mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2792 if (delta == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2793 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2794 j1 = delta->sign ? 1 : cmp(b, delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2795 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2796 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	2797 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2798 if (dig == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2799 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2800 if (j > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2801 dig++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2802 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2803 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2804 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2805 if (j < 0 \|\| (j == 0 && mode != 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2806 && !(word1(&u) & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2807 )) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2808 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2809 goto accept_dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2810 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2811 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2812 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2813 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2814 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2815 j1 = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2816 if ((j1 > 0 \|\| (j1 == 0 && dig & 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2817 && dig++ == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2818 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2819 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2820 accept_dig:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2821 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2822 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2823 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2824 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2825 if (dig == '9') { /* possible if i == 1 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2826 round_9_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2827 *s++ = '9';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2828 goto roundoff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2829 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2830 *s++ = dig + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2831 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2832 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2833 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2834 if (i == ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2835 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2836 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2837 if (b == 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 if (mlo == mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2840 mlo = mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2841 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2842 goto failed_malloc;
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 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2845 mlo = multadd(mlo, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2846 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2847 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2848 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2849 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2850 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2851 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2852 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2853 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2854 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2855 for(i = 1;; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2856 *s++ = dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2857 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2858 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2859 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2860 if (i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2861 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2862 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2863 if (b == 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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2866
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2867 /* Round off last digit */
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 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2870 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2871 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2872 j = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2873 if (j > 0 \|\| (j == 0 && dig & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2874 roundoff:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2875 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2876 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2877 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2878 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2879 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2880 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2881 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2882 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2883 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2884 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2885 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2886 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2887 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2888 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2889 if (mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2890 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2891 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2892 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2893 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2894 ret1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2895 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2896 *s = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2897 *decpt = k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2898 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2899 *rve = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2900 return s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2901 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2902 if (S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2903 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2904 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2905 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2906 if (mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2907 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2908 if (b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2909 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2910 if (s0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2911 _Py_dg_freedtoa(s0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2912 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2913 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2914 #ifdef __cplusplus
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2915 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2916 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2917
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2918 #endif /* PY_NO_SHORT_FLOAT_REPR */

Mercurial > cpython-lru_cache-weakref

annotate Python/dtoa.c @ 73323:dad02a080bbc