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

annotate Python/dtoa.c @ 66978:aed2bbafa550 3.1

Blocked revisions 87324 via svnmerge ........ r87324 | r.david.murray | 2010-12-16 14:08:51 -0500 (Thu, 16 Dec 2010) | 9 lines #10719: restore messages generated on invalid compileall args Before the introduction of filename arguments to compileall it gave semi useful messages about not being able to 'list' names that weren't valid directories. This fix restores that behavior. In addition to the test for this case, the patch also adds a test for the default behavior of compileall when no arguments are provided, and fixes a bug in one of the previously added tests. ........

author	R. David Murray <rdmurray@bitdance.com>
date	Thu, 16 Dec 2010 19:10:16 +0000
parents	8c3d2a71ed01
children	8410f83fd159

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
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	203 /* maximum permitted exponent value for strtod; exponents larger than
be32f611183b Merged revisions 77452 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
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	205 should fit into an int. */
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	206 #ifndef MAX_ABS_EXP
be32f611183b Merged revisions 77452 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)
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 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 {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 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
58403 6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	311 #ifndef Py_USING_MEMORY_DEBUGGER
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 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
58403 6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	380 #else
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	381
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	382 /* Alternative versions of Balloc and Bfree that use PyMem_Malloc and
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	383 PyMem_Free directly in place of the custom memory allocation scheme above.
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	384 These are provided for the benefit of memory debugging tools like
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	385 Valgrind. */
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	386
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	387 /* Allocate space for a Bigint with up to 1<<k digits */
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	388
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	389 static Bigint *
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	390 Balloc(int k)
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	391 {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	392 int x;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	393 Bigint *rv;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	394 unsigned int len;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	395
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	396 x = 1 << k;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	397 len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	398 /sizeof(double);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	399
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	400 rv = (Bigint)MALLOC(lensizeof(double));
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	401 if (rv == NULL)
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	402 return NULL;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	403
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	404 rv->k = k;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	405 rv->maxwds = x;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	406 rv->sign = rv->wds = 0;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	407 return rv;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	408 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	409
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	410 /* Free a Bigint allocated with Balloc */
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	411
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	412 static void
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	413 Bfree(Bigint *v)
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	414 {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	415 if (v) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	416 FREE((void*)v);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	417 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	418 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	419
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	420 #endif /* Py_USING_MEMORY_DEBUGGER */
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 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 *
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 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
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	498 if (nd <= 9)
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	499 return b;
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	500
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	501 s += 9;
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	502 for (i = 9; i < nd0; i++) {
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	503 b = multadd(b, 10, *s++ - '0');
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	504 if (b == NULL)
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	505 return NULL;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	506 }
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 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
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	625 if ((!a->x[0] && a->wds == 1) \|\| (!b->x[0] && b->wds == 1)) {
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	626 c = Balloc(0);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	627 if (c == NULL)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	628 return NULL;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	629 c->wds = 1;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	630 c->x[0] = 0;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	631 return c;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	632 }
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 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
58403 6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	708 #ifndef Py_USING_MEMORY_DEBUGGER
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 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
58403 6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	769 #else
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	770
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	771 /* Version of pow5mult that doesn't cache powers of 5. Provided for
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	772 the benefit of memory debugging tools like Valgrind. */
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	773
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	774 static Bigint *
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	775 pow5mult(Bigint *b, int k)
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	776 {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	777 Bigint b1, p5, *p51;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	778 int i;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	779 static int p05[3] = { 5, 25, 125 };
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	780
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	781 if ((i = k & 3)) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	782 b = multadd(b, p05[i-1], 0);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	783 if (b == NULL)
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	784 return NULL;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	785 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	786
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	787 if (!(k >>= 2))
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	788 return b;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	789 p5 = i2b(625);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	790 if (p5 == NULL) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	791 Bfree(b);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	792 return NULL;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	793 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	794
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	795 for(;;) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	796 if (k & 1) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	797 b1 = mult(b, p5);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	798 Bfree(b);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	799 b = b1;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	800 if (b == NULL) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	801 Bfree(p5);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	802 return NULL;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	803 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	804 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	805 if (!(k >>= 1))
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	806 break;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	807 p51 = mult(p5, p5);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	808 Bfree(p5);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	809 p5 = p51;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	810 if (p5 == NULL) {
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	811 Bfree(b);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	812 return NULL;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	813 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	814 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	815 Bfree(p5);
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	816 return b;
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	817 }
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	818
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 diff changeset	819 #endif /* Py_USING_MEMORY_DEBUGGER */
6036d7869bd1 Merged revisions 77590 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58392 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
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	832 if (!k \|\| (!b->x[0] && b->wds == 1))
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	833 return b;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 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
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	982 /* Given a positive normal double x, return the difference between x and the
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 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
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1034 /* Convert a scaled double to a Bigint plus an exponent. Similar to d2b,
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1035 except that it accepts the scale parameter used in _Py_dg_strtod (which
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1036 should be either 0 or 2*P), and the normalization for the return value is
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1037 different (see below). On input, d should be finite and nonnegative, and d
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1038 / 2**scale should be exactly representable as an IEEE 754 double.
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1039
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1040 Returns a Bigint b and an integer e such that
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1041
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1042 dval(d) / 2*scale = b 2**e.
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1043
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1044 Unlike d2b, b is not necessarily odd: b and e are normalized so
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1045 that either 2(P-1) <= b < 2P and e >= Etiny, or b < 2**P
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1046 and e == Etiny. This applies equally to an input of 0.0: in that
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1047 case the return values are b = 0 and e = Etiny.
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1048
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1049 The above normalization ensures that for all possible inputs d,
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1050 2e gives ulp(d/2scale).
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1051
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1052 Returns NULL on failure.
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1053 */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1054
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1055 static Bigint *
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1056 sd2b(U d, int scale, int e)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1057 {
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1058 Bigint *b;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1059
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1060 b = Balloc(1);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1061 if (b == NULL)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1062 return NULL;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1063
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1064 /* First construct b and e assuming that scale == 0. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1065 b->wds = 2;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1066 b->x[0] = word1(d);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1067 b->x[1] = word0(d) & Frac_mask;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1068 *e = Etiny - 1 + (int)((word0(d) & Exp_mask) >> Exp_shift);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1069 if (*e < Etiny)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1070 *e = Etiny;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1071 else
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1072 b->x[1] \|= Exp_msk1;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1073
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1074 /* Now adjust for scale, provided that b != 0. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1075 if (scale && (b->x[0] \|\| b->x[1])) {
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1076 *e -= scale;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1077 if (*e < Etiny) {
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1078 scale = Etiny - *e;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1079 *e = Etiny;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1080 /* We can't shift more than P-1 bits without shifting out a 1. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1081 assert(0 < scale && scale <= P - 1);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1082 if (scale >= 32) {
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1083 /* The bits shifted out should all be zero. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1084 assert(b->x[0] == 0);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1085 b->x[0] = b->x[1];
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1086 b->x[1] = 0;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1087 scale -= 32;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1088 }
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1089 if (scale) {
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1090 /* The bits shifted out should all be zero. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1091 assert(b->x[0] << (32 - scale) == 0);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1092 b->x[0] = (b->x[0] >> scale) \| (b->x[1] << (32 - scale));
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1093 b->x[1] >>= scale;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1094 }
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1095 }
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1096 }
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1097 /* Ensure b is normalized. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1098 if (!b->x[1])
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1099 b->wds = 1;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1100
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1101 return b;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1102 }
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 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
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1310 /* sulp(x) is a version of ulp(x) that takes bc.scale into account.
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1311
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1312 Assuming that x is finite and nonnegative (positive zero is fine
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1313 here) and x / 2^bc.scale is exactly representable as a double,
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1314 sulp(x) is equivalent to 2^bc.scale * ulp(x / 2^bc.scale). */
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1315
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1316 static double
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1317 sulp(U x, BCinfo bc)
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1318 {
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1319 U u;
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1320
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1321 if (bc->scale && 2*P + 1 > (int)((word0(x) & Exp_mask) >> Exp_shift)) {
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1322 /* rv/2^bc->scale is subnormal */
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1323 word0(&u) = (P+2)*Exp_msk1;
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1324 word1(&u) = 0;
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1325 return u.d;
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1326 }
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1327 else {
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1328 assert(word0(x) \|\| word1(x)); /* x != 0.0 */
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1329 return ulp(x);
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1330 }
58280 be32f611183b Merged revisions 77452 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
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1333 /* The bigcomp function handles some hard cases for strtod, for inputs
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1334 with more than STRTOD_DIGLIM digits. It's called once an initial
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1335 estimate for the double corresponding to the input string has
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1336 already been obtained by the code in _Py_dg_strtod.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1337
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1338 The bigcomp function is only called after _Py_dg_strtod has found a
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1339 double value rv such that either rv or rv + 1ulp represents the
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1340 correctly rounded value corresponding to the original string. It
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1341 determines which of these two values is the correct one by
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1342 computing the decimal digits of rv + 0.5ulp and comparing them with
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1343 the corresponding digits of s0.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1344
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1345 In the following, write dv for the absolute value of the number represented
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1346 by the input string.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1347
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1348 Inputs:
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1349
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1350 s0 points to the first significant digit of the input string.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1351
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1352 rv is a (possibly scaled) estimate for the closest double value to the
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1353 value represented by the original input to _Py_dg_strtod. If
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1354 bc->scale is nonzero, then rv/2^(bc->scale) is the approximation to
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1355 the input value.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1356
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1357 bc is a struct containing information gathered during the parsing and
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1358 estimation steps of _Py_dg_strtod. Description of fields follows:
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1359
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1360 bc->e0 gives the exponent of the input value, such that dv = (integer
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1361 given by the bd->nd digits of s0) * 10**e0
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1362
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1363 bc->nd gives the total number of significant digits of s0. It will
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1364 be at least 1.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1365
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1366 bc->nd0 gives the number of significant digits of s0 before the
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1367 decimal separator. If there's no decimal separator, bc->nd0 ==
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1368 bc->nd.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1369
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1370 bc->scale is the value used to scale rv to avoid doing arithmetic with
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1371 subnormal values. It's either 0 or 2*P (=106).
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1372
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1373 Outputs:
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1374
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1375 On successful exit, rv/2^(bc->scale) is the closest double to dv.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1376
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 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;
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 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
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1385 dd = 0; /* silence compiler warning about possibly unused variable */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1386 nd = bc->nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1387 nd0 = bc->nd0;
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1388 p5 = nd + bc->e0;
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1389 b = sd2b(rv, bc->scale, &p2);
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1390 if (b == NULL)
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1391 return -1;
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1392
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1393 /* record whether the lsb of rv/2^(bc->scale) is odd: in the exact halfway
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1394 case, this is used for round to even. */
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1395 odd = b->x[0] & 1;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1396
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1397 /* left shift b by 1 bit and or a 1 into the least significant bit;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1398 this gives us b * 2*p2 = rv/2^(bc->scale) + 0.5 ulp. /
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1399 b = lshift(b, 1);
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1400 if (b == NULL)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1401 return -1;
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1402 b->x[0] \|= 1;
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1403 p2--;
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1404
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1405 p2 -= p5;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1406 d = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1407 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1408 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1409 return -1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1410 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1411 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1412 * 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	1413 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1414 if (p5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1415 d = pow5mult(d, p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1416 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1417 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1418 return -1;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1421 else if (p5 < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1422 b = pow5mult(b, -p5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1423 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1424 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1425 return -1;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1428 if (p2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1429 b2 = p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1430 d2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1431 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1432 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1433 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1434 d2 = -p2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1435 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1436 i = dshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1437 if ((b2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1438 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1439 if (b == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1440 Bfree(d);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1441 return -1;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1444 if ((d2 += i) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1445 d = lshift(d, d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1446 if (d == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1447 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1448 return -1;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1451
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1452 /* Compare s0 with b/d: set dd to -1, 0, or 1 according as s0 < b/d, s0 ==
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1453 * b/d, or s0 > b/d. Here the digits of s0 are thought of as representing
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1454 * a number in the range [0.1, 1). */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1455 if (cmp(b, d) >= 0)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1456 /* b/d >= 1 */
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1457 dd = -1;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1458 else {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1459 i = 0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1460 for(;;) {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1461 b = multadd(b, 10, 0);
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1462 if (b == NULL) {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1463 Bfree(d);
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1464 return -1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1465 }
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1466 dd = s0[i < nd0 ? i : i+1] - '0' - quorem(b, d);
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1467 i++;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1468
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1469 if (dd)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1470 break;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1471 if (!b->x[0] && b->wds == 1) {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1472 /* b/d == 0 */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1473 dd = i < nd;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1474 break;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1475 }
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1476 if (!(i < nd)) {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1477 /* b/d != 0, but digits of s0 exhausted */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1478 dd = -1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1479 break;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1480 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1481 }
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1482 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1483 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1484 Bfree(d);
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1485 if (dd > 0 \|\| (dd == 0 && odd))
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1486 dval(rv) += sulp(rv, bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1487 return 0;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1490 double
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1491 _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	1492 {
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1493 int bb2, bb5, bbe, bd2, bd5, bs2, c, dsign, e, e1, error;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1494 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	1495 const char s, s0, *s1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1496 double aadj, aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1497 U aadj2, adj, rv, rv0;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1498 ULong y, z, abs_exp;
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1499 Long L;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1500 BCinfo bc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1501 Bigint bb, bb1, bd, bd0, bs, delta;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1502
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1503 dval(&rv) = 0.;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1504
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1505 /* Start parsing. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1506 c = *(s = s00);
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1507
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1508 /* Parse optional sign, if present. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1509 sign = 0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1510 switch (c) {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1511 case '-':
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1512 sign = 1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1513 /* no break */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1514 case '+':
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1515 c = *++s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1516 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1517
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1518 /* Skip leading zeros: lz is true iff there were leading zeros. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1519 s1 = s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1520 while (c == '0')
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1521 c = *++s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1522 lz = s != s1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1523
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1524 /* Point s0 at the first nonzero digit (if any). nd0 will be the position
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1525 of the point relative to s0. nd will be the total number of digits
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1526 ignoring leading zeros. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1527 s0 = s1 = s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1528 while ('0' <= c && c <= '9')
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1529 c = *++s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1530 nd0 = nd = s - s1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1531
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1532 /* Parse decimal point and following digits. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1533 if (c == '.') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1534 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1535 if (!nd) {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1536 s1 = s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1537 while (c == '0')
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1538 c = *++s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1539 lz = lz \|\| s != s1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1540 nd0 -= s - s1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1541 s0 = s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1542 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1543 s1 = s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1544 while ('0' <= c && c <= '9')
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1545 c = *++s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1546 nd += s - s1;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1547 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1548
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1549 /* Now lz is true if and only if there were leading zero digits, and nd
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1550 gives the total number of digits ignoring leading zeros. A valid input
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1551 must have at least one digit. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1552 if (!nd && !lz) {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1553 if (se)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1554 se = (char )s00;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1555 goto parse_error;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1556 }
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1557
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1558 /* Parse exponent. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1559 e = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1560 if (c == 'e' \|\| c == 'E') {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1561 s00 = s;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1562 c = *++s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1563
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1564 /* Exponent sign. */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1565 esign = 0;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1566 switch (c) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1567 case '-':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1568 esign = 1;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1569 /* no break */
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1570 case '+':
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1571 c = *++s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1572 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1573
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1574 /* Skip zeros. lz is true iff there are leading zeros. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1575 s1 = s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1576 while (c == '0')
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1577 c = *++s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1578 lz = s != s1;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1579
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1580 /* Get absolute value of the exponent. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1581 s1 = s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1582 abs_exp = 0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1583 while ('0' <= c && c <= '9') {
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1584 abs_exp = 10*abs_exp + (c - '0');
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1585 c = *++s;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1586 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1587
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1588 /* abs_exp will be correct modulo 232. But 109 < 2**32, so if
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1589 there are at most 9 significant exponent digits then overflow is
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1590 impossible. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1591 if (s - s1 > 9 \|\| abs_exp > MAX_ABS_EXP)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1592 e = (int)MAX_ABS_EXP;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1593 else
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1594 e = (int)abs_exp;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1595 if (esign)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1596 e = -e;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1597
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1598 /* A valid exponent must have at least one digit. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1599 if (s == s1 && !lz)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1600 s = s00;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1601 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1602
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1603 /* Adjust exponent to take into account position of the point. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1604 e -= nd - nd0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1605 if (nd0 <= 0)
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1606 nd0 = nd;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1607
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1608 /* Finished parsing. Set se to indicate how far we parsed */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1609 if (se)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1610 se = (char )s;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1611
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1612 /* If all digits were zero, exit with return value +-0.0. Otherwise,
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1613 strip trailing zeros: scan back until we hit a nonzero digit. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1614 if (!nd)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1615 goto ret;
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1616 for (i = nd; i > 0; ) {
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1617 --i;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1618 if (s0[i < nd0 ? i : i+1] != '0') {
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1619 ++i;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1620 break;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1621 }
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1622 }
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1623 e += nd - i;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1624 nd = i;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1625 if (nd0 > nd)
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1626 nd0 = nd;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1627
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1628 /* Summary of parsing results. After parsing, and dealing with zero
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1629 * inputs, we have values s0, nd0, nd, e, sign, where:
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1630 *
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1631 * - s0 points to the first significant digit of the input string
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1632 *
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1633 * - nd is the total number of significant digits (here, and
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1634 * below, 'significant digits' means the set of digits of the
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1635 * significand of the input that remain after ignoring leading
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1636 * and trailing zeros).
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1637 *
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1638 * - nd0 indicates the position of the decimal point, if present; it
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1639 * satisfies 1 <= nd0 <= nd. The nd significant digits are in
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1640 * s0[0:nd0] and s0[nd0+1:nd+1] using the usual Python half-open slice
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1641 * notation. (If nd0 < nd, then s0[nd0] contains a '.' character; if
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1642 * nd0 == nd, then s0[nd0] could be any non-digit character.)
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1643 *
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1644 * - e is the adjusted exponent: the absolute value of the number
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1645 * represented by the original input string is n * 10**e, where
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1646 * n is the integer represented by the concatenation of
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1647 * s0[0:nd0] and s0[nd0+1:nd+1]
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1648 *
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1649 * - sign gives the sign of the input: 1 for negative, 0 for positive
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1650 *
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1651 * - the first and last significant digits are nonzero
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1652 */
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1653
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1654 /* put first DBL_DIG+1 digits into integer y and z.
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1655 *
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1656 * - y contains the value represented by the first min(9, nd)
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1657 * significant digits
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1658 *
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1659 * - if nd > 9, z contains the value represented by significant digits
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1660 * with indices in [9, min(16, nd)). So y * 10**(min(16, nd) - 9) + z
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1661 * gives the value represented by the first min(16, nd) sig. digits.
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1662 */
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1663
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1664 bc.e0 = e1 = e;
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1665 y = z = 0;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1666 for (i = 0; i < nd; i++) {
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1667 if (i < 9)
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1668 y = 10*y + s0[i < nd0 ? i : i+1] - '0';
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1669 else if (i < DBL_DIG+1)
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1670 z = 10*z + s0[i < nd0 ? i : i+1] - '0';
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1671 else
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1672 break;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1673 }
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1674
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1675 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	1676 dval(&rv) = y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1677 if (k > 9) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1678 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	1679 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1680 bd0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1681 if (nd <= DBL_DIG
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1682 && Flt_Rounds == 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1683 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1684 if (!e)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1685 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1686 if (e > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1687 if (e <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1688 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1689 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1690 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1691 i = DBL_DIG - nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1692 if (e <= Ten_pmax + i) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1693 /* 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	1694 * this for larger i values.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1695 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1696 e -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1697 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1698 dval(&rv) *= tens[e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1699 goto ret;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1702 else if (e >= -Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1703 dval(&rv) /= tens[-e];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1704 goto ret;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1707 e1 += nd - k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1708
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1709 bc.scale = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1710
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1711 /* Get starting approximation = rv * 10*e1 /
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1712
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1713 if (e1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1714 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1715 dval(&rv) *= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1716 if (e1 &= ~15) {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1717 if (e1 > DBL_MAX_10_EXP)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1718 goto ovfl;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1719 e1 >>= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1720 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	1721 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1722 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1723 /* The last multiplication could overflow. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1724 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1725 dval(&rv) *= bigtens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1726 if ((z = word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1727 > Exp_msk1*(DBL_MAX_EXP+Bias-P))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1728 goto ovfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1729 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	1730 /* set to largest number */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1731 /* (Can't trust DBL_MAX) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1732 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1733 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1734 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1735 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1736 word0(&rv) += P*Exp_msk1;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1739 else if (e1 < 0) {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1740 /* The input decimal value lies in [10e1, 10(e1+16)).
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1741
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1742 If e1 <= -512, underflow immediately.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1743 If e1 <= -256, set bc.scale to 2*P.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1744
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1745 So for input value < 1e-256, bc.scale is always set;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1746 for input value >= 1e-240, bc.scale is never set.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1747 For input values in [1e-256, 1e-240), bc.scale may or may
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1748 not be set. */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1749
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1750 e1 = -e1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1751 if ((i = e1 & 15))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1752 dval(&rv) /= tens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1753 if (e1 >>= 4) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1754 if (e1 >= 1 << n_bigtens)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1755 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1756 if (e1 & Scale_Bit)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1757 bc.scale = 2*P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1758 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	1759 if (e1 & 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1760 dval(&rv) *= tinytens[j];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1761 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	1762 >> Exp_shift)) > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1763 /* 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	1764 if (j >= 32) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1765 word1(&rv) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1766 if (j >= 53)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1767 word0(&rv) = (P+2)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1768 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1769 word0(&rv) &= 0xffffffff << (j-32);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1770 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1771 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1772 word1(&rv) &= 0xffffffff << j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1773 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1774 if (!dval(&rv))
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1775 goto undfl;
53185 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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1779 /* 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	1780
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1781 /* 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	1782
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1783 bc.nd = nd;
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1784 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	1785 /* 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	1786 /* possibly not being initialized. */
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1787 if (nd > STRTOD_DIGLIM) {
be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	1788 /* 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	1789 /* 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	1790 /* in IEEE arithmetic. */
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1791
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1792 /* Truncate input to 18 significant digits, then discard any trailing
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1793 zeros on the result by updating nd, nd0, e and y suitably. (There's
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1794 no need to update z; it's not reused beyond this point.) */
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1795 for (i = 18; i > 0; ) {
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1796 /* scan back until we hit a nonzero digit. significant digit 'i'
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1797 is s0[i] if i < nd0, s0[i+1] if i >= nd0. */
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1798 --i;
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1799 if (s0[i < nd0 ? i : i+1] != '0') {
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1800 ++i;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1801 break;
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1802 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1803 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1804 e += nd - i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1805 nd = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1806 if (nd0 > nd)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1807 nd0 = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1808 if (nd < 9) { /* must recompute y */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1809 y = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1810 for(i = 0; i < nd0; ++i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1811 y = 10*y + s0[i] - '0';
58361 d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1812 for(; i < nd; ++i)
d81e48846b4e Merged revisions 77535 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58322 diff changeset	1813 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	1814 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1815 }
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1816 bd0 = s2b(s0, nd0, nd, y);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1817 if (bd0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1818 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1819
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1820 /* Notation for the comments below. Write:
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1821
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1822 - dv for the absolute value of the number represented by the original
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1823 decimal input string.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1824
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1825 - if we've truncated dv, write tdv for the truncated value.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1826 Otherwise, set tdv == dv.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1827
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1828 - srv for the quantity rv/2^bc.scale; so srv is the current binary
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1829 approximation to tdv (and dv). It should be exactly representable
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1830 in an IEEE 754 double.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1831 */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1832
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1833 for(;;) {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1834
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1835 /* This is the main correction loop for _Py_dg_strtod.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1836
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1837 We've got a decimal value tdv, and a floating-point approximation
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1838 srv=rv/2^bc.scale to tdv. The aim is to determine whether srv is
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1839 close enough (i.e., within 0.5 ulps) to tdv, and to compute a new
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1840 approximation if not.
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1841
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1842 To determine whether srv is close enough to tdv, compute integers
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1843 bd, bb and bs proportional to tdv, srv and 0.5 ulp(srv)
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1844 respectively, and then use integer arithmetic to determine whether
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1845 \|tdv - srv\| is less than, equal to, or greater than 0.5 ulp(srv).
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1846 */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1847
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1848 bd = Balloc(bd0->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1849 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1850 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1851 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1852 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1853 Bcopy(bd, bd0);
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1854 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	1855 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1856 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1857 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1858 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1859 }
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1860 /* Record whether lsb of bb is odd, in case we need this
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1861 for the round-to-even step later. */
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1862 odd = bb->x[0] & 1;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1863
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1864 /* 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	1865 bs = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1866 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1867 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1868 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1869 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1870 goto failed_malloc;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1873 if (e >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1874 bb2 = bb5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1875 bd2 = bd5 = e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1876 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1877 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1878 bb2 = bb5 = -e;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1879 bd2 = bd5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1880 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1881 if (bbe >= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1882 bb2 += bbe;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1883 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1884 bd2 -= bbe;
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1885 bs2 = bb2;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1886 bb2++;
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1887 bd2++;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1888
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1889 /* At this stage bd5 - bb5 == e == bd2 - bb2 + bbe, bb2 - bs2 == 1,
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1890 and bs == 1, so:
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1891
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1892 tdv == bd * 10*e = bd 2*(bbe - bb2 + bd2) 5**(bd5 - bb5)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1893 srv == bb * 2*bbe = bb 2**(bbe - bb2 + bb2)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1894 0.5 ulp(srv) == 2*(bbe-1) = bs 2**(bbe - bb2 + bs2)
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1895
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1896 It follows that:
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1897
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1898 M * tdv = bd * 2*bd2 5**bd5
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1899 M * srv = bb * 2*bb2 5**bb5
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1900 M * 0.5 ulp(srv) = bs * 2*bs2 5**bb5
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1901
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1902 for some constant M. (Actually, M == 2*(bb2 - bbe) 5**bb5, but
8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1903 this fact is not needed below.)
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1904 */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1905
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	1906 /* 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	1907 i = bb2 < bd2 ? bb2 : bd2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1908 if (i > bs2)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1909 i = bs2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1910 if (i > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1911 bb2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1912 bd2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1913 bs2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1914 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1915
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1916 /* 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	1917 if (bb5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1918 bs = pow5mult(bs, bb5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1919 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1920 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1921 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1922 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1923 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1924 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1925 bb1 = mult(bs, bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1926 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1927 bb = bb1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1928 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1929 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1930 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1931 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1932 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1935 if (bb2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1936 bb = lshift(bb, bb2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1937 if (bb == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1938 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1939 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1940 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1941 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1944 if (bd5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1945 bd = pow5mult(bd, bd5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1946 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1947 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1948 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1949 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1950 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1953 if (bd2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1954 bd = lshift(bd, bd2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1955 if (bd == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1956 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1957 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1958 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1959 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1962 if (bs2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1963 bs = lshift(bs, bs2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1964 if (bs == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1965 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1966 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1967 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1968 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1969 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1970 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1971
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1972 /* Now bd, bb and bs are scaled versions of tdv, srv and 0.5 ulp(srv),
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1973 respectively. Compute the difference \|tdv - srv\|, and compare
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1974 with 0.5 ulp(srv). */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1975
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1976 delta = diff(bb, bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1977 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1978 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1979 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1980 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1981 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1982 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1983 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1984 dsign = delta->sign;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1985 delta->sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1986 i = cmp(delta, bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1987 if (bc.nd > nd && i <= 0) {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	1988 if (dsign)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1989 break; /* Must use bigcomp(). */
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1990
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1991 /* Here rv overestimates the truncated decimal value by at most
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1992 0.5 ulp(rv). Hence rv either overestimates the true decimal
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1993 value by <= 0.5 ulp(rv), or underestimates it by some small
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1994 amount (< 0.1 ulp(rv)); either way, rv is within 0.5 ulps of
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1995 the true decimal value, so it's possible to exit.
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1996
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1997 Exception: if scaled rv is a normal exact power of 2, but not
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1998 DBL_MIN, then rv - 0.5 ulp(rv) takes us all the way down to the
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	1999 next double, so the correctly rounded result is either rv - 0.5
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2000 ulp(rv) or rv; in this case, use bigcomp to distinguish. */
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2001
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2002 if (!word1(&rv) && !(word0(&rv) & Bndry_mask)) {
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2003 /* rv can't be 0, since it's an overestimate for some
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2004 nonzero value. So rv is a normal power of 2. */
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2005 j = (int)(word0(&rv) & Exp_mask) >> Exp_shift;
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2006 /* rv / 2^bc.scale = 2^(j - 1023 - bc.scale); use bigcomp if
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2007 rv / 2^bc.scale >= 2^-1021. */
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2008 if (j - bc.scale >= 2) {
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2009 dval(&rv) -= 0.5 * sulp(&rv, &bc);
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2010 break; /* Use bigcomp. */
58322 9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2011 }
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2012 }
9bab3d7ab4f5 Merged revisions 77494 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58280 diff changeset	2013
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2014 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2015 bc.nd = nd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2016 i = -1; /* Discarded digits make delta smaller. */
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2020 if (i < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2021 /* 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	2022 * 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	2023 */
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2024 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	2025 \|\| (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	2026 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2027 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2028 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2029 if (!delta->x[0] && delta->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2030 /* exact result */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2031 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2032 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2033 delta = lshift(delta,Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2034 if (delta == NULL) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2035 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2036 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2037 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2038 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2039 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2040 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2041 if (cmp(delta, bs) > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2042 goto drop_down;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2043 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2044 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2045 if (i == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2046 /* exactly half-way between */
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2047 if (dsign) {
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2048 if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2049 && word1(&rv) == (
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2050 (bc.scale &&
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2051 (y = word0(&rv) & Exp_mask) <= 2PExp_msk1) ?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2052 (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	2053 0xffffffff)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2054 /boundary case -- increment exponent/
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2055 word0(&rv) = (word0(&rv) & Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2056 + Exp_msk1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2057 ;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2058 word1(&rv) = 0;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2059 dsign = 0;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2060 break;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2063 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	2064 drop_down:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2065 /* boundary case -- decrement exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2066 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2067 L = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2068 if (L <= (2P+1)Exp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2069 if (L > (P+2)*Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2070 /* round even ==> */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2071 /* accept rv */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2072 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2073 /* rv = smallest denormal */
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2074 if (bc.nd > nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2075 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2076 goto undfl;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2079 L = (word0(&rv) & Exp_mask) - Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2080 word0(&rv) = L \| Bndry_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2081 word1(&rv) = 0xffffffff;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2082 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2083 }
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	2084 if (!odd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2085 break;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2086 if (dsign)
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	2087 dval(&rv) += sulp(&rv, &bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2088 else {
58468 8c3d2a71ed01 Merged revisions 77722 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58428 diff changeset	2089 dval(&rv) -= sulp(&rv, &bc);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2090 if (!dval(&rv)) {
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	2091 if (bc.nd >nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2092 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2093 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2094 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2095 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2096 dsign = 1 - dsign;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2097 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2098 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2099 if ((aadj = ratio(delta, bs)) <= 2.) {
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2100 if (dsign)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2101 aadj = aadj1 = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2102 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	2103 if (word1(&rv) == Tiny1 && !word0(&rv)) {
58280 be32f611183b Merged revisions 77452 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58154 diff changeset	2104 if (bc.nd >nd)
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2105 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2106 goto undfl;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2107 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2108 aadj = 1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2109 aadj1 = -1.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2110 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2111 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2112 /* 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	2113 /* rounded down... */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2114
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2115 if (aadj < 2./FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2116 aadj = 1./FLT_RADIX;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2117 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2118 aadj *= 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2119 aadj1 = -aadj;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2122 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2123 aadj *= 0.5;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2124 aadj1 = dsign ? aadj : -aadj;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2125 if (Flt_Rounds == 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2126 aadj1 += 0.5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2127 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2128 y = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2129
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2130 /* Check for overflow */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2131
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2132 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	2133 dval(&rv0) = dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2134 word0(&rv) -= P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2135 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2136 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2137 if ((word0(&rv) & Exp_mask) >=
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2138 Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
58392 6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2139 if (word0(&rv0) == Big0 && word1(&rv0) == Big1) {
6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2140 Bfree(bb);
6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2141 Bfree(bd);
6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2142 Bfree(bs);
6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2143 Bfree(bd0);
6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2144 Bfree(delta);
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2145 goto ovfl;
58392 6ec14bc6ab0c Merged revisions 77579 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58361 diff changeset	2146 }
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2147 word0(&rv) = Big0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2148 word1(&rv) = Big1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2149 goto cont;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2150 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2151 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2152 word0(&rv) += P*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2153 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2154 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2155 if (bc.scale && y <= 2PExp_msk1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2156 if (aadj <= 0x7fffffff) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2157 if ((z = (ULong)aadj) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2158 z = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2159 aadj = z;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2160 aadj1 = dsign ? aadj : -aadj;
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2161 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2162 dval(&aadj2) = aadj1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2163 word0(&aadj2) += (2P+1)Exp_msk1 - y;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2164 aadj1 = dval(&aadj2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2165 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2166 adj.d = aadj1 * ulp(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2167 dval(&rv) += adj.d;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2168 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2169 z = word0(&rv) & Exp_mask;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2170 if (bc.nd == nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2171 if (!bc.scale)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2172 if (y == z) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2173 /* Can we stop now? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2174 L = (Long)aadj;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2175 aadj -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2176 /* The tolerances below are conservative. */
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2177 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	2178 if (aadj < .4999999 \|\| aadj > .5000001)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2179 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2180 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2181 else if (aadj < .4999999/FLT_RADIX)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2182 break;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2185 cont:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2186 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2187 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2188 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2189 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2190 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2191 Bfree(bb);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2192 Bfree(bd);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2193 Bfree(bs);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2194 Bfree(bd0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2195 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2196 if (bc.nd > nd) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2197 error = bigcomp(&rv, s0, &bc);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2198 if (error)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2199 goto failed_malloc;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2202 if (bc.scale) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2203 word0(&rv0) = Exp_1 - 2PExp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2204 word1(&rv0) = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2205 dval(&rv) *= dval(&rv0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2206 }
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2207
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2208 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2209 return sign ? -dval(&rv) : dval(&rv);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2210
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2211 parse_error:
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2212 return 0.0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2213
53185 97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2214 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2215 errno = ENOMEM;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2216 return -1.0;
58428 f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2217
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2218 undfl:
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2219 return sign ? -0.0 : 0.0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2220
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2221 ovfl:
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2222 errno = ERANGE;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2223 /* Can't trust HUGE_VAL */
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2224 word0(&rv) = Exp_mask;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2225 word1(&rv) = 0;
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2226 return sign ? -dval(&rv) : dval(&rv);
f1acd01725e0 Merged revisions 77670 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 58403 diff changeset	2227
53185 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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2230 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2231 rv_alloc(int i)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2232 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2233 int j, k, *r;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2234
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2235 j = sizeof(ULong);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2236 for(k = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2237 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	2238 j <<= 1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2239 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2240 r = (int*)Balloc(k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2241 if (r == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2242 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2243 *r = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2244 return (char *)(r+1);
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2247 static char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2248 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	2249 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2250 char rv, t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2251
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2252 rv = rv_alloc(n);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2253 if (rv == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2254 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2255 t = rv;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2256 while((t = s++)) t++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2257 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2258 *rve = t;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2259 return rv;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2262 /* 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	2263 * 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	2264 * 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	2265 * when MULTIPLE_THREADS is not defined.
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2268 void
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2269 _Py_dg_freedtoa(char *s)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2270 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2271 Bigint b = (Bigint )((int *)s - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2272 b->maxwds = 1 << (b->k = (int)b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2273 Bfree(b);
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2276 /* 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	2277 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2278 * 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	2279 * 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	2280 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2281 * Modifications:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2282 * 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	2283 * 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	2284 * 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	2285 * 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	2286 * 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	2287 * 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	2288 * 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	2289 * 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	2290 * 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	2291 * 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	2292 * 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	2293 * 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	2294 * inequality.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2295 * 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	2296 * quantities.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2297 * 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	2298 * 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	2299 * to multiple-precision integers.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2300 * 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	2301 * 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	2302 * 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	2303 * 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	2304 * 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	2305 * "uniformly" distributed input, the probability is
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2306 * 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	2307 * calculation.
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2310 /* 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	2311 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	2312 call to _Py_dg_freedtoa. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2313
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2314 char *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2315 _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	2316 int decpt, int sign, char **rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2317 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2318 /* 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	2319 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	2320 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	2321 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	2322 then *decpt is set to 9999.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2323
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2324 mode:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2325 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	2326 and rounded to nearest.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2327 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	2328 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	2329 1e23 whereas mode 1 gives 9.999999999999999e22.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2330 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	2331 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	2332 that trailing zeros are suppressed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2333 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	2334 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	2335 except that trailing zeros are suppressed, and
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2336 ndigits can be negative.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2337 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	2338 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	2339 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	2340 With IEEE arithmetic and compilation with
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2341 -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	2342 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	2343 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	2344 fast floating-point estimate (if applicable).
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2345
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2346 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	2347
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2348 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	2349 to hold the suppressed trailing zeros.
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2352 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	2353 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	2354 spec_case, try_quick;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2355 Long L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2356 int denorm;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2357 ULong x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2358 Bigint b, b1, delta, mlo, mhi, S;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2359 U d2, eps, u;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2360 double ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2361 char s, s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2362
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2363 /* 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	2364 cleanup easier on error */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2365 mlo = mhi = b = S = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2366 s0 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2367
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2368 u.d = dd;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2369 if (word0(&u) & Sign_bit) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2370 /* 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	2371 *sign = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2372 word0(&u) &= ~Sign_bit; /* clear sign bit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2373 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2374 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2375 *sign = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2376
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2377 /* quick return for Infinities, NaNs and zeros */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2378 if ((word0(&u) & Exp_mask) == Exp_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2379 {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2380 /* Infinity or NaN */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2381 *decpt = 9999;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2382 if (!word1(&u) && !(word0(&u) & 0xfffff))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2383 return nrv_alloc("Infinity", rve, 8);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2384 return nrv_alloc("NaN", rve, 3);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2385 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2386 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2387 *decpt = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2388 return nrv_alloc("0", rve, 1);
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2391 /* 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	2392 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	2393 b = d2b(&u, &be, &bbits);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2394 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2395 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2396 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	2397 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2398 word0(&d2) &= Frac_mask1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2399 word0(&d2) \|= Exp_11;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2400
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2401 /* 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	2402 * log10(x) = log(x) / log(10)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2403 * ~=~ 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	2404 * 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	2405 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2406 * 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	2407 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2408 * k = (i - Bias)*0.301029995663981
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2409 * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2410 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2411 * 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	2412 * 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	2413 * 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	2414 * 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	2415 * (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	2416 * 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	2417 * 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	2418 * 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	2419 * (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	2420 * but this is probably not worthwhile.)
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2423 i -= Bias;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2424 denorm = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2425 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2426 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2427 /* d is denormalized */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2428
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2429 i = bbits + be + (Bias + (P-1) - 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2430 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	2431 : word1(&u) << (32 - i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2432 dval(&d2) = x;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2433 word0(&d2) -= 31Exp_msk1; / adjust exponent */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2434 i -= (Bias + (P-1) - 1) + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2435 denorm = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2436 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2437 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	2438 i*0.301029995663981;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2439 k = (int)ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2440 if (ds < 0. && ds != k)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2441 k--; /* want k = floor(ds) */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2442 k_check = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2443 if (k >= 0 && k <= Ten_pmax) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2444 if (dval(&u) < tens[k])
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2445 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2446 k_check = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2447 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2448 j = bbits - i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2449 if (j >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2450 b2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2451 s2 = j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2452 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2453 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2454 b2 = -j;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2455 s2 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2456 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2457 if (k >= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2458 b5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2459 s5 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2460 s2 += k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2461 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2462 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2463 b2 -= k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2464 b5 = -k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2465 s5 = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2466 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2467 if (mode < 0 \|\| mode > 9)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2468 mode = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2469
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2470 try_quick = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2471
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2472 if (mode > 5) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2473 mode -= 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2474 try_quick = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2475 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2476 leftright = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2477 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	2478 /* silence erroneous "gcc -Wall" warning. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2479 switch(mode) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2480 case 0:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2481 case 1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2482 i = 18;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2483 ndigits = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2484 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2485 case 2:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2486 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2487 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2488 case 4:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2489 if (ndigits <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2490 ndigits = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2491 ilim = ilim1 = i = ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2492 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2493 case 3:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2494 leftright = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2495 /* no break */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2496 case 5:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2497 i = ndigits + k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2498 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2499 ilim1 = i - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2500 if (i <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2501 i = 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2502 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2503 s0 = rv_alloc(i);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2504 if (s0 == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2505 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2506 s = s0;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2509 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	2510
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2511 /* 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	2512
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2513 i = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2514 dval(&d2) = dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2515 k0 = k;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2516 ilim0 = ilim;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2517 ieps = 2; /* conservative */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2518 if (k > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2519 ds = tens[k&0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2520 j = k >> 4;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2521 if (j & Bletch) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2522 /* prevent overflows */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2523 j &= Bletch - 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2524 dval(&u) /= bigtens[n_bigtens-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2525 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2526 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2527 for(; j; j >>= 1, i++)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2528 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2529 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2530 ds *= bigtens[i];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2531 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2532 dval(&u) /= ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2533 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2534 else if ((j1 = -k)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2535 dval(&u) *= tens[j1 & 0xf];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2536 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	2537 if (j & 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2538 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2539 dval(&u) *= bigtens[i];
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2542 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	2543 if (ilim1 <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2544 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2545 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2546 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2547 dval(&u) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2548 ieps++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2549 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2550 dval(&eps) = ieps*dval(&u) + 7.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2551 word0(&eps) -= (P-1)*Exp_msk1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2552 if (ilim == 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2553 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2554 dval(&u) -= 5.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2555 if (dval(&u) > dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2556 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2557 if (dval(&u) < -dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2558 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2559 goto fast_failed;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2560 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2561 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2562 /* Use Steele & White method of only
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2563 * generating digits needed.
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2564 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2565 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	2566 for(i = 0;;) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2567 L = (Long)dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2568 dval(&u) -= L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2569 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2570 if (dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2571 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2572 if (1. - dval(&u) < dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2573 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2574 if (++i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2575 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2576 dval(&eps) *= 10.;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2577 dval(&u) *= 10.;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2580 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2581 /* Generate ilim digits, then fix them up. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2582 dval(&eps) *= tens[ilim-1];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2583 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2584 L = (Long)(dval(&u));
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2585 if (!(dval(&u) -= L))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2586 ilim = i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2587 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2588 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2589 if (dval(&u) > 0.5 + dval(&eps))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2590 goto bump_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2591 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	2592 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2593 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2594 goto ret1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2595 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2596 break;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2600 fast_failed:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2601 s = s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2602 dval(&u) = dval(&d2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2603 k = k0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2604 ilim = ilim0;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2607 /* Do we have a "small" integer? */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2608
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2609 if (be >= 0 && k <= Int_max) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2610 /* Yes. */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2611 ds = tens[k];
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2612 if (ndigits < 0 && ilim <= 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2613 S = mhi = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2614 if (ilim < 0 \|\| dval(&u) <= 5*ds)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2615 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2616 goto one_digit;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2617 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2618 for(i = 1;; i++, dval(&u) *= 10.) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2619 L = (Long)(dval(&u) / ds);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2620 dval(&u) -= L*ds;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2621 *s++ = '0' + (int)L;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2622 if (!dval(&u)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2623 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2624 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2625 if (i == ilim) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2626 dval(&u) += dval(&u);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2627 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	2628 bump_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2629 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2630 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2631 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2632 *s = '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2633 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2634 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2635 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2636 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2637 break;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2640 goto ret1;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2643 m2 = b2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2644 m5 = b5;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2645 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2646 i =
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2647 denorm ? be + (Bias + (P-1) - 1 + 1) :
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2648 1 + P - bbits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2649 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2650 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2651 mhi = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2652 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2653 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2654 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2655 if (m2 > 0 && s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2656 i = m2 < s2 ? m2 : s2;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2657 b2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2658 m2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2659 s2 -= i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2660 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2661 if (b5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2662 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2663 if (m5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2664 mhi = pow5mult(mhi, m5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2665 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2666 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2667 b1 = mult(mhi, b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2668 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2669 b = b1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2670 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2671 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2672 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2673 if ((j = b5 - m5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2674 b = pow5mult(b, j);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2675 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2676 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2679 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2680 b = pow5mult(b, b5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2681 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2682 goto failed_malloc;
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 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2685 S = i2b(1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2686 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2687 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2688 if (s5 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2689 S = pow5mult(S, s5);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2690 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2691 goto failed_malloc;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2694 /* 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	2695
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2696 spec_case = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2697 if ((mode < 2 \|\| leftright)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2698 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2699 if (!word1(&u) && !(word0(&u) & Bndry_mask)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2700 && word0(&u) & (Exp_mask & ~Exp_msk1)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2701 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2702 /* The special case */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2703 b2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2704 s2 += Log2P;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2705 spec_case = 1;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2709 /* Arrange for convenient computation of quotients:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2710 * 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	2711 *
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2712 * 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	2713 * 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	2714 * 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	2715 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2716 if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2717 i = 32 - i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2718 #define iInc 28
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2719 i = dshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2720 b2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2721 m2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2722 s2 += i;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2723 if (b2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2724 b = lshift(b, b2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2725 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2726 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2727 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2728 if (s2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2729 S = lshift(S, s2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2730 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2731 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2732 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2733 if (k_check) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2734 if (cmp(b,S) < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2735 k--;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2736 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	2737 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2738 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2739 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2740 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2741 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2742 goto failed_malloc;
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 ilim = ilim1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2745 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2746 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2747 if (ilim <= 0 && (mode == 3 \|\| mode == 5)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2748 if (ilim < 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2749 /* no digits, fcvt style */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2750 no_digits:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2751 k = -1 - ndigits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2752 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2753 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2754 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2755 S = multadd(S, 5, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2756 if (S == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2757 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2758 if (cmp(b, S) <= 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2759 goto no_digits;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2760 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2761 one_digit:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2762 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2763 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2764 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2765 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2766 if (leftright) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2767 if (m2 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2768 mhi = lshift(mhi, m2);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2769 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2770 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2771 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2772
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2773 /* Compute mlo -- check for special case
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2774 * 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	2775 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2776
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2777 mlo = mhi;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2778 if (spec_case) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2779 mhi = Balloc(mhi->k);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2780 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2781 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2782 Bcopy(mhi, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2783 mhi = lshift(mhi, Log2P);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2784 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2785 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2786 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2787
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2788 for(i = 1;;i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2789 dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2790 /* 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	2791 * that will round to d?
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2792 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2793 j = cmp(b, mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2794 delta = diff(S, mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2795 if (delta == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2796 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2797 j1 = delta->sign ? 1 : cmp(b, delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2798 Bfree(delta);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2799 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	2800 ) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2801 if (dig == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2802 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2803 if (j > 0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2804 dig++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2805 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2806 goto ret;
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 (j < 0 \|\| (j == 0 && mode != 1
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2809 && !(word1(&u) & 1)
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 (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2812 goto accept_dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2813 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2814 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2815 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2816 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2817 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2818 j1 = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2819 if ((j1 > 0 \|\| (j1 == 0 && dig & 1))
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2820 && dig++ == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2821 goto round_9_up;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2822 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2823 accept_dig:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2824 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2825 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2826 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2827 if (j1 > 0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2828 if (dig == '9') { /* possible if i == 1 */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2829 round_9_up:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2830 *s++ = '9';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2831 goto roundoff;
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 + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2834 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2835 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2836 *s++ = dig;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2837 if (i == ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2838 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2839 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2840 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2841 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2842 if (mlo == mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2843 mlo = mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2844 if (mlo == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2845 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2846 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2847 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2848 mlo = multadd(mlo, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2849 if (mlo == 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 mhi = multadd(mhi, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2852 if (mhi == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2853 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2854 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2855 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2856 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2857 else
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2858 for(i = 1;; i++) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2859 *s++ = dig = quorem(b,S) + '0';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2860 if (!b->x[0] && b->wds <= 1) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2861 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2862 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2863 if (i >= ilim)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2864 break;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2865 b = multadd(b, 10, 0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2866 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2867 goto failed_malloc;
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
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2870 /* Round off last digit */
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2871
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2872 b = lshift(b, 1);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2873 if (b == NULL)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2874 goto failed_malloc;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2875 j = cmp(b, S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2876 if (j > 0 \|\| (j == 0 && dig & 1)) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2877 roundoff:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2878 while(*--s == '9')
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2879 if (s == s0) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2880 k++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2881 *s++ = '1';
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2882 goto ret;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2883 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2884 ++*s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2885 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2886 else {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2887 while(*--s == '0');
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2888 s++;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2889 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2890 ret:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2891 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2892 if (mhi) {
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2893 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2894 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2895 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2896 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2897 ret1:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2898 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2899 *s = 0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2900 *decpt = k + 1;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2901 if (rve)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2902 *rve = s;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2903 return s0;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2904 failed_malloc:
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2905 if (S)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2906 Bfree(S);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2907 if (mlo && mlo != mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2908 Bfree(mlo);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2909 if (mhi)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2910 Bfree(mhi);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2911 if (b)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2912 Bfree(b);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2913 if (s0)
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2914 _Py_dg_freedtoa(s0);
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2915 return NULL;
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2916 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2917 #ifdef __cplusplus
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2918 }
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2919 #endif
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2920
97ae7a709c1d Issue #1580: use short float repr where possible. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2921 #endif /* PY_NO_SHORT_FLOAT_REPR */

Mercurial > cpython-lru_cache-weakref

annotate Python/dtoa.c @ 66978:aed2bbafa550 3.1