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

annotate Python/dtoa.c @ 57303:4aa4c19dfaed legacy-trunk

#1757126: fix typo with the cyrillic_asian alias

author	Philip Jenvey <pjenvey@underboss.org>
date	Tue, 17 Nov 2009 02:42:26 +0000
parents	dabe1f92ca27
children	8ca377853321

rev	line source
56700 2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1 /****************************************************************
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	3 * The author of this software is David M. Gay.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	4 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	5 * Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	6 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	7 * Permission to use, copy, modify, and distribute this software for any
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	8 * purpose without fee is hereby granted, provided that this entire notice
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	9 * is included in all copies of any software which is or includes a copy
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	10 * or modification of this software and in all copies of the supporting
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	11 * documentation for such software.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	12 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	13 * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	14 * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	15 * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	16 * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	17 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	18 ***************************************************************/
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	19
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	20 /****************************************************************
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	21 * This is dtoa.c by David M. Gay, downloaded from
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	22 * http://www.netlib.org/fp/dtoa.c on April 15, 2009 and modified for
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	23 * inclusion into the Python core by Mark E. T. Dickinson and Eric V. Smith.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	24 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	25 * Please remember to check http://www.netlib.org/fp regularly (and especially
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	26 * before any Python release) for bugfixes and updates.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	27 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	28 * The major modifications from Gay's original code are as follows:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	29 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	30 * 0. The original code has been specialized to Python's needs by removing
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	31 * many of the #ifdef'd sections. In particular, code to support VAX and
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	32 * IBM floating-point formats, hex NaNs, hex floats, locale-aware
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	33 * treatment of the decimal point, and setting of the inexact flag have
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	34 * been removed.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	35 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	36 * 1. We use PyMem_Malloc and PyMem_Free in place of malloc and free.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	37 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	38 * 2. The public functions strtod, dtoa and freedtoa all now have
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	39 * a _Py_dg_ prefix.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	40 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	41 * 3. Instead of assuming that PyMem_Malloc always succeeds, we thread
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	42 * PyMem_Malloc failures through the code. The functions
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	43 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	44 * Balloc, multadd, s2b, i2b, mult, pow5mult, lshift, diff, d2b
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	45 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	46 * of return type *Bigint all return NULL to indicate a malloc failure.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	47 * Similarly, rv_alloc and nrv_alloc (return type char *) return NULL on
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	48 * failure. bigcomp now has return type int (it used to be void) and
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	49 * returns -1 on failure and 0 otherwise. _Py_dg_dtoa returns NULL
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	50 * on failure. _Py_dg_strtod indicates failure due to malloc failure
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	51 * by returning -1.0, setting errno=ENOMEM and *se to s00.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	52 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	53 * 4. The static variable dtoa_result has been removed. Callers of
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	54 * _Py_dg_dtoa are expected to call _Py_dg_freedtoa to free
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	55 * the memory allocated by _Py_dg_dtoa.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	56 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	57 * 5. The code has been reformatted to better fit with Python's
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	58 * C style guide (PEP 7).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	59 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	60 * 6. A bug in the memory allocation has been fixed: to avoid FREEing memory
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	61 * that hasn't been MALLOC'ed, private_mem should only be used when k <=
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	62 * Kmax.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	63 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	64 * 7. _Py_dg_strtod has been modified so that it doesn't accept strings with
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	65 * leading whitespace.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	66 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	67 ***************************************************************/
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	68
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	69 /* Please send bug reports for the original dtoa.c code to David M. Gay (dmg
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	70 * at acm dot org, with " at " changed at "@" and " dot " changed to ".").
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	71 * Please report bugs for this modified version using the Python issue tracker
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	72 * (http://bugs.python.org). */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	73
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	74 /* On a machine with IEEE extended-precision registers, it is
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	75 * necessary to specify double-precision (53-bit) rounding precision
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	76 * before invoking strtod or dtoa. If the machine uses (the equivalent
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	77 * of) Intel 80x87 arithmetic, the call
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	78 * _control87(PC_53, MCW_PC);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	79 * does this with many compilers. Whether this or another call is
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	80 * appropriate depends on the compiler; for this to work, it may be
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	81 * necessary to #include "float.h" or another system-dependent header
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	82 * file.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	83 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	84
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	85 /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	86 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	87 * This strtod returns a nearest machine number to the input decimal
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	88 * string (or sets errno to ERANGE). With IEEE arithmetic, ties are
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	89 * broken by the IEEE round-even rule. Otherwise ties are broken by
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	90 * biased rounding (add half and chop).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	91 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	92 * Inspired loosely by William D. Clinger's paper "How to Read Floating
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	93 * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	94 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	95 * Modifications:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	96 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	97 * 1. We only require IEEE, IBM, or VAX double-precision
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	98 * arithmetic (not IEEE double-extended).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	99 * 2. We get by with floating-point arithmetic in a case that
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	100 * Clinger missed -- when we're computing d * 10^n
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	101 * for a small integer d and the integer n is not too
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	102 * much larger than 22 (the maximum integer k for which
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	103 * we can represent 10^k exactly), we may be able to
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	104 * compute (d10^k) 10^(e-k) with just one roundoff.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	105 * 3. Rather than a bit-at-a-time adjustment of the binary
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	106 * result in the hard case, we use floating-point
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	107 * arithmetic to determine the adjustment to within
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	108 * one bit; only in really hard cases do we need to
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	109 * compute a second residual.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	110 * 4. Because of 3., we don't need a large table of powers of 10
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	111 * for ten-to-e (just some small tables, e.g. of 10^k
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	112 * for 0 <= k <= 22).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	113 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	114
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	115 /* Linking of Python's #defines to Gay's #defines starts here. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	116
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	117 #include "Python.h"
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	118
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	119 /* if PY_NO_SHORT_FLOAT_REPR is defined, then don't even try to compile
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	120 the following code */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	121 #ifndef PY_NO_SHORT_FLOAT_REPR
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	122
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	123 #include "float.h"
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	124
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	125 #define MALLOC PyMem_Malloc
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	126 #define FREE PyMem_Free
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	127
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	128 /* This code should also work for ARM mixed-endian format on little-endian
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	129 machines, where doubles have byte order 45670123 (in increasing address
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	130 order, 0 being the least significant byte). */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	131 #ifdef DOUBLE_IS_LITTLE_ENDIAN_IEEE754
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	132 # define IEEE_8087
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	133 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	134 #if defined(DOUBLE_IS_BIG_ENDIAN_IEEE754) \|\| \
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	135 defined(DOUBLE_IS_ARM_MIXED_ENDIAN_IEEE754)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	136 # define IEEE_MC68k
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	137 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	138 #if defined(IEEE_8087) + defined(IEEE_MC68k) != 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	139 #error "Exactly one of IEEE_8087 or IEEE_MC68k should be defined."
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	140 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	141
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	142 /* The code below assumes that the endianness of integers matches the
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	143 endianness of the two 32-bit words of a double. Check this. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	144 #if defined(WORDS_BIGENDIAN) && (defined(DOUBLE_IS_LITTLE_ENDIAN_IEEE754) \|\| \
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	145 defined(DOUBLE_IS_ARM_MIXED_ENDIAN_IEEE754))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	146 #error "doubles and ints have incompatible endianness"
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	147 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	148
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	149 #if !defined(WORDS_BIGENDIAN) && defined(DOUBLE_IS_BIG_ENDIAN_IEEE754)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	150 #error "doubles and ints have incompatible endianness"
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	151 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	152
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	153
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	154 #if defined(HAVE_UINT32_T) && defined(HAVE_INT32_T)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	155 typedef PY_UINT32_T ULong;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	156 typedef PY_INT32_T Long;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	157 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	158 #error "Failed to find an exact-width 32-bit integer type"
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	159 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	160
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	161 #if defined(HAVE_UINT64_T)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	162 #define ULLong PY_UINT64_T
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	163 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	164 #undef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	165 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	166
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	167 #undef DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	168 #ifdef Py_DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	169 #define DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	170 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	171
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	172 /* End Python #define linking */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	173
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	174 #ifdef DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	175 #define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	176 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	177
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	178 #ifndef PRIVATE_MEM
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	179 #define PRIVATE_MEM 2304
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	180 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	181 #define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	182 static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	183
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	184 #ifdef __cplusplus
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	185 extern "C" {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	186 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	187
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	188 typedef union { double d; ULong L[2]; } U;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	189
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	190 #ifdef IEEE_8087
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	191 #define word0(x) (x)->L[1]
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	192 #define word1(x) (x)->L[0]
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	193 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	194 #define word0(x) (x)->L[0]
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	195 #define word1(x) (x)->L[1]
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	196 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	197 #define dval(x) (x)->d
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	198
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	199 #ifndef STRTOD_DIGLIM
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	200 #define STRTOD_DIGLIM 40
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	201 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	202
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	203 #ifdef DIGLIM_DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	204 extern int strtod_diglim;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	205 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	206 #define strtod_diglim STRTOD_DIGLIM
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	207 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	208
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	209 /* The following definition of Storeinc is appropriate for MIPS processors.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	210 * An alternative that might be better on some machines is
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	211 * #define Storeinc(a,b,c) (*a++ = b << 16 \| c & 0xffff)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	212 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	213 #if defined(IEEE_8087)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	214 #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	215 ((unsigned short *)a)[0] = (unsigned short)c, a++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	216 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	217 #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	218 ((unsigned short *)a)[1] = (unsigned short)c, a++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	219 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	220
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	221 /* #define P DBL_MANT_DIG */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	222 /* Ten_pmax = floor(Plog(2)/log(5)) /
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	223 /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	224 /* Quick_max = floor((P-1)log(FLT_RADIX)/log(10) - 1) /
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	225 /* Int_max = floor(Plog(FLT_RADIX)/log(10) - 1) /
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	226
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	227 #define Exp_shift 20
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	228 #define Exp_shift1 20
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	229 #define Exp_msk1 0x100000
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	230 #define Exp_msk11 0x100000
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	231 #define Exp_mask 0x7ff00000
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	232 #define P 53
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	233 #define Nbits 53
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	234 #define Bias 1023
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	235 #define Emax 1023
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	236 #define Emin (-1022)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	237 #define Exp_1 0x3ff00000
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	238 #define Exp_11 0x3ff00000
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	239 #define Ebits 11
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	240 #define Frac_mask 0xfffff
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	241 #define Frac_mask1 0xfffff
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	242 #define Ten_pmax 22
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	243 #define Bletch 0x10
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	244 #define Bndry_mask 0xfffff
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	245 #define Bndry_mask1 0xfffff
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	246 #define LSB 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	247 #define Sign_bit 0x80000000
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	248 #define Log2P 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	249 #define Tiny0 0
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	250 #define Tiny1 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	251 #define Quick_max 14
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	252 #define Int_max 14
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	253
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	254 #ifndef Flt_Rounds
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	255 #ifdef FLT_ROUNDS
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	256 #define Flt_Rounds FLT_ROUNDS
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	257 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	258 #define Flt_Rounds 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	259 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	260 #endif /Flt_Rounds/
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	261
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	262 #define Rounding Flt_Rounds
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	263
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	264 #define Big0 (Frac_mask1 \| Exp_msk1*(DBL_MAX_EXP+Bias-1))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	265 #define Big1 0xffffffff
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	266
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	267 /* struct BCinfo is used to pass information from _Py_dg_strtod to bigcomp */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	268
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	269 typedef struct BCinfo BCinfo;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	270 struct
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	271 BCinfo {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	272 int dp0, dp1, dplen, dsign, e0, inexact;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	273 int nd, nd0, rounding, scale, uflchk;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	274 };
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	275
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	276 #define FFFFFFFF 0xffffffffUL
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	277
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	278 #define Kmax 7
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	279
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	280 /* struct Bigint is used to represent arbitrary-precision integers. These
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	281 integers are stored in sign-magnitude format, with the magnitude stored as
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	282 an array of base 2**32 digits. Bigints are always normalized: if x is a
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. 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.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	284
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	285 The Bigint fields are as follows:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	286
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	287 - next is a header used by Balloc and Bfree to keep track of lists
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	288 of freed Bigints; it's also used for the linked list of
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	289 powers of 5 of the form 52i used by pow5mult.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	290 - k indicates which pool this Bigint was allocated from
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	291 - maxwds is the maximum number of words space was allocated for
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	292 (usually maxwds == 2**k)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	293 - sign is 1 for negative Bigints, 0 for positive. The sign is unused
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	294 (ignored on inputs, set to 0 on outputs) in almost all operations
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	295 involving Bigints: a notable exception is the diff function, which
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	296 ignores signs on inputs but sets the sign of the output correctly.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	297 - wds is the actual number of significant words
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	298 - x contains the vector of words (digits) for this Bigint, from least
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	299 significant (x[0]) to most significant (x[wds-1]).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	300 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	301
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	302 struct
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	303 Bigint {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	304 struct Bigint *next;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	305 int k, maxwds, sign, wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	306 ULong x[1];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	307 };
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	308
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	309 typedef struct Bigint Bigint;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	310
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	311 /* Memory management: memory is allocated from, and returned to, Kmax+1 pools
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	312 of memory, where pool k (0 <= k <= Kmax) is for Bigints b with b->maxwds ==
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	313 1 << k. These pools are maintained as linked lists, with freelist[k]
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	314 pointing to the head of the list for pool k.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	315
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	316 On allocation, if there's no free slot in the appropriate pool, MALLOC is
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	317 called to get more memory. This memory is not returned to the system until
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	318 Python quits. There's also a private memory pool that's allocated from
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	319 in preference to using MALLOC.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	320
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	321 For Bigints with more than (1 << Kmax) digits (which implies at least 1233
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	322 decimal digits), memory is directly allocated using MALLOC, and freed using
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	323 FREE.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	324
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	325 XXX: it would be easy to bypass this memory-management system and
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	326 translate each call to Balloc into a call to PyMem_Malloc, and each
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	327 Bfree to PyMem_Free. Investigate whether this has any significant
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	328 performance on impact. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	329
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	330 static Bigint *freelist[Kmax+1];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	331
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	332 /* Allocate space for a Bigint with up to 1<<k digits */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	333
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	334 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	335 Balloc(int k)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	336 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	337 int x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	338 Bigint *rv;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	339 unsigned int len;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	340
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	341 if (k <= Kmax && (rv = freelist[k]))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	342 freelist[k] = rv->next;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	343 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	344 x = 1 << k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	345 len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	346 /sizeof(double);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	347 if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	348 rv = (Bigint*)pmem_next;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	349 pmem_next += len;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	350 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	351 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	352 rv = (Bigint)MALLOC(lensizeof(double));
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	353 if (rv == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	354 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	355 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	356 rv->k = k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	357 rv->maxwds = x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	358 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	359 rv->sign = rv->wds = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	360 return rv;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	361 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	362
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	363 /* Free a Bigint allocated with Balloc */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	364
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	365 static void
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	366 Bfree(Bigint *v)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	367 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	368 if (v) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	369 if (v->k > Kmax)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	370 FREE((void*)v);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	371 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	372 v->next = freelist[v->k];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	373 freelist[v->k] = v;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	374 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	375 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	376 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	377
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	378 #define Bcopy(x,y) memcpy((char )&x->sign, (char )&y->sign, \
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	379 y->wdssizeof(Long) + 2sizeof(int))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	380
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	381 /* Multiply a Bigint b by m and add a. Either modifies b in place and returns
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	382 a pointer to the modified b, or Bfrees b and returns a pointer to a copy.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	383 On failure, return NULL. In this case, b will have been already freed. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	384
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	385 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	386 multadd(Bigint b, int m, int a) / multiply by m and add a */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	387 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	388 int i, wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	389 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	390 ULong *x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	391 ULLong carry, y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	392 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	393 ULong carry, *x, y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	394 ULong xi, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	395 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	396 Bigint *b1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	397
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	398 wds = b->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	399 x = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	400 i = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	401 carry = a;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	402 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	403 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	404 y = x (ULLong)m + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	405 carry = y >> 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	406 *x++ = (ULong)(y & FFFFFFFF);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	407 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	408 xi = *x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	409 y = (xi & 0xffff) * m + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	410 z = (xi >> 16) * m + (y >> 16);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	411 carry = z >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	412 *x++ = (z << 16) + (y & 0xffff);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	413 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	414 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	415 while(++i < wds);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	416 if (carry) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	417 if (wds >= b->maxwds) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	418 b1 = Balloc(b->k+1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	419 if (b1 == NULL){
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	420 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	421 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	422 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	423 Bcopy(b1, b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	424 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	425 b = b1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	426 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	427 b->x[wds++] = (ULong)carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	428 b->wds = wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	429 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	430 return b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	431 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	432
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	433 /* convert a string s containing nd decimal digits (possibly containing a
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	434 decimal separator at position nd0, which is ignored) to a Bigint. This
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	435 function carries on where the parsing code in _Py_dg_strtod leaves off: on
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	436 entry, y9 contains the result of converting the first 9 digits. Returns
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	437 NULL on failure. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	438
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	439 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	440 s2b(const char *s, int nd0, int nd, ULong y9, int dplen)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	441 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	442 Bigint *b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	443 int i, k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	444 Long x, y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	445
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	446 x = (nd + 8) / 9;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	447 for(k = 0, y = 1; x > y; y <<= 1, k++) ;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	448 b = Balloc(k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	449 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	450 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	451 b->x[0] = y9;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	452 b->wds = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	453
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	454 i = 9;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	455 if (9 < nd0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	456 s += 9;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	457 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	458 b = multadd(b, 10, *s++ - '0');
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	459 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	460 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	461 } while(++i < nd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	462 s += dplen;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	463 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	464 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	465 s += dplen + 9;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	466 for(; i < nd; i++) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	467 b = multadd(b, 10, *s++ - '0');
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	468 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	469 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	470 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	471 return b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	472 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	473
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	474 /* count leading 0 bits in the 32-bit integer x. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	475
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	476 static int
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	477 hi0bits(ULong x)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	478 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	479 int k = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	480
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	481 if (!(x & 0xffff0000)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	482 k = 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	483 x <<= 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	484 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	485 if (!(x & 0xff000000)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	486 k += 8;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	487 x <<= 8;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	488 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	489 if (!(x & 0xf0000000)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	490 k += 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	491 x <<= 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	492 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	493 if (!(x & 0xc0000000)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	494 k += 2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	495 x <<= 2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	496 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	497 if (!(x & 0x80000000)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	498 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	499 if (!(x & 0x40000000))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	500 return 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	501 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	502 return k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	503 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	504
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	505 /* count trailing 0 bits in the 32-bit integer y, and shift y right by that
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	506 number of bits. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	507
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	508 static int
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	509 lo0bits(ULong *y)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	510 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	511 int k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	512 ULong x = *y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	513
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	514 if (x & 7) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	515 if (x & 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	516 return 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	517 if (x & 2) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	518 *y = x >> 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	519 return 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	520 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	521 *y = x >> 2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	522 return 2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	523 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	524 k = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	525 if (!(x & 0xffff)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	526 k = 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	527 x >>= 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	528 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	529 if (!(x & 0xff)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	530 k += 8;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	531 x >>= 8;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	532 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	533 if (!(x & 0xf)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	534 k += 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	535 x >>= 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	536 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	537 if (!(x & 0x3)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	538 k += 2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	539 x >>= 2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	540 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	541 if (!(x & 1)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	542 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	543 x >>= 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	544 if (!x)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	545 return 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	546 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	547 *y = x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	548 return k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	549 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	550
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	551 /* convert a small nonnegative integer to a Bigint */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	552
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	553 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	554 i2b(int i)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	555 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	556 Bigint *b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	557
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	558 b = Balloc(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	559 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	560 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	561 b->x[0] = i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	562 b->wds = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	563 return b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	564 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	565
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	566 /* multiply two Bigints. Returns a new Bigint, or NULL on failure. Ignores
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	567 the signs of a and b. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	568
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	569 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	570 mult(Bigint a, Bigint b)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	571 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	572 Bigint *c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	573 int k, wa, wb, wc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	574 ULong x, xa, xae, xb, xbe, xc, *xc0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	575 ULong y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	576 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	577 ULLong carry, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	578 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	579 ULong carry, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	580 ULong z2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	581 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	582
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	583 if (a->wds < b->wds) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	584 c = a;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	585 a = b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	586 b = c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	587 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	588 k = a->k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	589 wa = a->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	590 wb = b->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	591 wc = wa + wb;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	592 if (wc > a->maxwds)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	593 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	594 c = Balloc(k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	595 if (c == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	596 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	597 for(x = c->x, xa = x + wc; x < xa; x++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	598 *x = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	599 xa = a->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	600 xae = xa + wa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	601 xb = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	602 xbe = xb + wb;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	603 xc0 = c->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	604 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	605 for(; xb < xbe; xc0++) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	606 if ((y = *xb++)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	607 x = xa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	608 xc = xc0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	609 carry = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	610 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	611 z = x++ (ULLong)y + *xc + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	612 carry = z >> 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	613 *xc++ = (ULong)(z & FFFFFFFF);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	614 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	615 while(x < xae);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	616 *xc = (ULong)carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	617 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	618 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	619 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	620 for(; xb < xbe; xb++, xc0++) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	621 if (y = *xb & 0xffff) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	622 x = xa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	623 xc = xc0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	624 carry = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	625 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	626 z = (x & 0xffff) y + (*xc & 0xffff) + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	627 carry = z >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	628 z2 = (x++ >> 16) y + (*xc >> 16) + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	629 carry = z2 >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	630 Storeinc(xc, z2, z);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	631 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	632 while(x < xae);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	633 *xc = carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	634 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	635 if (y = *xb >> 16) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	636 x = xa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	637 xc = xc0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	638 carry = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	639 z2 = *xc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	640 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	641 z = (x & 0xffff) y + (*xc >> 16) + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	642 carry = z >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	643 Storeinc(xc, z, z2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	644 z2 = (x++ >> 16) y + (*xc & 0xffff) + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	645 carry = z2 >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	646 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	647 while(x < xae);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	648 *xc = z2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	649 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	650 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	651 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	652 for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	653 c->wds = wc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	654 return c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	655 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	656
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	657 /* p5s is a linked list of powers of 5 of the form 5(2i), i >= 2 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	658
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	659 static Bigint *p5s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	660
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	661 /* multiply the Bigint b by 5**k. Returns a pointer to the result, or NULL on
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	662 failure; if the returned pointer is distinct from b then the original
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	663 Bigint b will have been Bfree'd. Ignores the sign of b. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	664
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	665 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	666 pow5mult(Bigint *b, int k)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	667 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	668 Bigint b1, p5, *p51;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	669 int i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	670 static int p05[3] = { 5, 25, 125 };
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	671
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	672 if ((i = k & 3)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	673 b = multadd(b, p05[i-1], 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	674 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	675 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	676 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	677
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	678 if (!(k >>= 2))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	679 return b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	680 p5 = p5s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	681 if (!p5) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	682 /* first time */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	683 p5 = i2b(625);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	684 if (p5 == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	685 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	686 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	687 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	688 p5s = p5;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	689 p5->next = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	690 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	691 for(;;) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	692 if (k & 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	693 b1 = mult(b, p5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	694 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	695 b = b1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	696 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	697 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	698 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	699 if (!(k >>= 1))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	700 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	701 p51 = p5->next;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	702 if (!p51) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	703 p51 = mult(p5,p5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	704 if (p51 == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	705 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	706 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	707 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	708 p51->next = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	709 p5->next = p51;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	710 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	711 p5 = p51;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	712 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	713 return b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	714 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	715
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	716 /* shift a Bigint b left by k bits. Return a pointer to the shifted result,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	717 or NULL on failure. If the returned pointer is distinct from b then the
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	718 original b will have been Bfree'd. Ignores the sign of b. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	719
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	720 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	721 lshift(Bigint *b, int k)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	722 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	723 int i, k1, n, n1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	724 Bigint *b1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	725 ULong x, x1, *xe, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	726
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	727 n = k >> 5;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	728 k1 = b->k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	729 n1 = n + b->wds + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	730 for(i = b->maxwds; n1 > i; i <<= 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	731 k1++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	732 b1 = Balloc(k1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	733 if (b1 == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	734 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	735 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	736 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	737 x1 = b1->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	738 for(i = 0; i < n; i++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	739 *x1++ = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	740 x = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	741 xe = x + b->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	742 if (k &= 0x1f) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	743 k1 = 32 - k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	744 z = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	745 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	746 x1++ = x << k \| z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	747 z = *x++ >> k1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	748 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	749 while(x < xe);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	750 if ((*x1 = z))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	751 ++n1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	752 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	753 else do
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	754 x1++ = x++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	755 while(x < xe);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	756 b1->wds = n1 - 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	757 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	758 return b1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	759 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	760
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	761 /* Do a three-way compare of a and b, returning -1 if a < b, 0 if a == b and
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	762 1 if a > b. Ignores signs of a and b. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	763
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	764 static int
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	765 cmp(Bigint a, Bigint b)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	766 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	767 ULong xa, xa0, xb, xb0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	768 int i, j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	769
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	770 i = a->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	771 j = b->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	772 #ifdef DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	773 if (i > 1 && !a->x[i-1])
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	774 Bug("cmp called with a->x[a->wds-1] == 0");
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	775 if (j > 1 && !b->x[j-1])
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	776 Bug("cmp called with b->x[b->wds-1] == 0");
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	777 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	778 if (i -= j)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	779 return i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	780 xa0 = a->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	781 xa = xa0 + j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	782 xb0 = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	783 xb = xb0 + j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	784 for(;;) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	785 if (--xa != --xb)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	786 return xa < xb ? -1 : 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	787 if (xa <= xa0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	788 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	789 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	790 return 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	791 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	792
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	793 /* Take the difference of Bigints a and b, returning a new Bigint. Returns
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	794 NULL on failure. The signs of a and b are ignored, but the sign of the
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	795 result is set appropriately. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	796
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	797 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	798 diff(Bigint a, Bigint b)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	799 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	800 Bigint *c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	801 int i, wa, wb;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	802 ULong xa, xae, xb, xbe, *xc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	803 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	804 ULLong borrow, y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	805 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	806 ULong borrow, y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	807 ULong z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	808 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	809
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	810 i = cmp(a,b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	811 if (!i) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	812 c = Balloc(0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	813 if (c == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	814 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	815 c->wds = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	816 c->x[0] = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	817 return c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	818 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	819 if (i < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	820 c = a;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	821 a = b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	822 b = c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	823 i = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	824 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	825 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	826 i = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	827 c = Balloc(a->k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	828 if (c == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	829 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	830 c->sign = i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	831 wa = a->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	832 xa = a->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	833 xae = xa + wa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	834 wb = b->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	835 xb = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	836 xbe = xb + wb;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	837 xc = c->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	838 borrow = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	839 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	840 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	841 y = (ULLong)xa++ - xb++ - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	842 borrow = y >> 32 & (ULong)1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	843 *xc++ = (ULong)(y & FFFFFFFF);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	844 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	845 while(xb < xbe);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	846 while(xa < xae) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	847 y = *xa++ - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	848 borrow = y >> 32 & (ULong)1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	849 *xc++ = (ULong)(y & FFFFFFFF);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	850 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	851 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	852 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	853 y = (xa & 0xffff) - (xb & 0xffff) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	854 borrow = (y & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	855 z = (xa++ >> 16) - (xb++ >> 16) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	856 borrow = (z & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	857 Storeinc(xc, z, y);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	858 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	859 while(xb < xbe);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	860 while(xa < xae) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	861 y = (*xa & 0xffff) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	862 borrow = (y & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	863 z = (*xa++ >> 16) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	864 borrow = (z & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	865 Storeinc(xc, z, y);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	866 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	867 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	868 while(!*--xc)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	869 wa--;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	870 c->wds = wa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	871 return c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	872 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	873
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	874 /* Given a positive normal double x, return the difference between x and the next
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	875 double up. Doesn't give correct results for subnormals. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	876
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	877 static double
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	878 ulp(U *x)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	879 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	880 Long L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	881 U u;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	882
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	883 L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	884 word0(&u) = L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	885 word1(&u) = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	886 return dval(&u);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	887 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	888
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	889 /* Convert a Bigint to a double plus an exponent */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	890
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	891 static double
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	892 b2d(Bigint a, int e)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	893 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	894 ULong xa, xa0, w, y, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	895 int k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	896 U d;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	897
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	898 xa0 = a->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	899 xa = xa0 + a->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	900 y = *--xa;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	901 #ifdef DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	902 if (!y) Bug("zero y in b2d");
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	903 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	904 k = hi0bits(y);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	905 *e = 32 - k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	906 if (k < Ebits) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	907 word0(&d) = Exp_1 \| y >> (Ebits - k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	908 w = xa > xa0 ? *--xa : 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	909 word1(&d) = y << ((32-Ebits) + k) \| w >> (Ebits - k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	910 goto ret_d;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	911 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	912 z = xa > xa0 ? *--xa : 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	913 if (k -= Ebits) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	914 word0(&d) = Exp_1 \| y << k \| z >> (32 - k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	915 y = xa > xa0 ? *--xa : 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	916 word1(&d) = z << k \| y >> (32 - k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	917 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	918 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	919 word0(&d) = Exp_1 \| y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	920 word1(&d) = z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	921 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	922 ret_d:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	923 return dval(&d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	924 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	925
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	926 /* Convert a double to a Bigint plus an exponent. Return NULL on failure.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	927
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	928 Given a finite nonzero double d, return an odd Bigint b and exponent *e
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	929 such that fabs(d) = b * 2*e. On return, bbits gives the number of
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	930 significant bits of e; that is, 2*(bbits-1) <= b < 2*(bbits).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	931
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	932 If d is zero, then b == 0, e == -1010, bbits = 0.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	933 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	934
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	935
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	936 static Bigint *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	937 d2b(U d, int e, int *bits)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	938 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	939 Bigint *b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	940 int de, k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	941 ULong *x, y, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	942 int i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	943
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	944 b = Balloc(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	945 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	946 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	947 x = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	948
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	949 z = word0(d) & Frac_mask;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	950 word0(d) &= 0x7fffffff; /* clear sign bit, which we ignore */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	951 if ((de = (int)(word0(d) >> Exp_shift)))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	952 z \|= Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	953 if ((y = word1(d))) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	954 if ((k = lo0bits(&y))) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	955 x[0] = y \| z << (32 - k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	956 z >>= k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	957 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	958 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	959 x[0] = y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	960 i =
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	961 b->wds = (x[1] = z) ? 2 : 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	962 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	963 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	964 k = lo0bits(&z);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	965 x[0] = z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	966 i =
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	967 b->wds = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	968 k += 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	969 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	970 if (de) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	971 *e = de - Bias - (P-1) + k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	972 *bits = P - k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	973 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	974 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	975 *e = de - Bias - (P-1) + 1 + k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	976 bits = 32i - hi0bits(x[i-1]);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	977 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	978 return b;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	979 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	980
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	981 /* Compute the ratio of two Bigints, as a double. The result may have an
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	982 error of up to 2.5 ulps. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	983
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	984 static double
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	985 ratio(Bigint a, Bigint b)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	986 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	987 U da, db;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	988 int k, ka, kb;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	989
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	990 dval(&da) = b2d(a, &ka);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	991 dval(&db) = b2d(b, &kb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	992 k = ka - kb + 32*(a->wds - b->wds);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	993 if (k > 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	994 word0(&da) += k*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	995 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	996 k = -k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	997 word0(&db) += k*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	998 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	999 return dval(&da) / dval(&db);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1000 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1001
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1002 static const double
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1003 tens[] = {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1004 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1005 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1006 1e20, 1e21, 1e22
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1007 };
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1008
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1009 static const double
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1010 bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1011 static const double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1012 9007199254740992.*9007199254740992.e-256
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1013 /* = 2^106 * 1e-256 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1014 };
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1015 /* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1016 /* flag unnecessarily. It leads to a song and dance at the end of strtod. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1017 #define Scale_Bit 0x10
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1018 #define n_bigtens 5
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1019
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1020 #define ULbits 32
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1021 #define kshift 5
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1022 #define kmask 31
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1023
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1024
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1025 static int
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1026 dshift(Bigint *b, int p2)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1027 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1028 int rv = hi0bits(b->x[b->wds-1]) - 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1029 if (p2 > 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1030 rv -= p2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1031 return rv & kmask;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1032 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1033
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1034 /* special case of Bigint division. The quotient is always in the range 0 <=
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1035 quotient < 10, and on entry the divisor S is normalized so that its top 4
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1036 bits (28--31) are zero and bit 27 is set. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1037
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1038 static int
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1039 quorem(Bigint b, Bigint S)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1040 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1041 int n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1042 ULong bx, bxe, q, sx, sxe;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1043 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1044 ULLong borrow, carry, y, ys;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1045 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1046 ULong borrow, carry, y, ys;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1047 ULong si, z, zs;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1048 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1049
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1050 n = S->wds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1051 #ifdef DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1052 /debug/ if (b->wds > n)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1053 /debug/ Bug("oversize b in quorem");
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1054 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1055 if (b->wds < n)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1056 return 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1057 sx = S->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1058 sxe = sx + --n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1059 bx = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1060 bxe = bx + n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1061 q = bxe / (sxe + 1); /* ensure q <= true quotient */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1062 #ifdef DEBUG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1063 /debug/ if (q > 9)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1064 /debug/ Bug("oversized quotient in quorem");
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1065 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1066 if (q) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1067 borrow = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1068 carry = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1069 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1070 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1071 ys = sx++ (ULLong)q + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1072 carry = ys >> 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1073 y = *bx - (ys & FFFFFFFF) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1074 borrow = y >> 32 & (ULong)1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1075 *bx++ = (ULong)(y & FFFFFFFF);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1076 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1077 si = *sx++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1078 ys = (si & 0xffff) * q + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1079 zs = (si >> 16) * q + (ys >> 16);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1080 carry = zs >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1081 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1082 borrow = (y & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1083 z = (*bx >> 16) - (zs & 0xffff) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1084 borrow = (z & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1085 Storeinc(bx, z, y);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1086 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1087 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1088 while(sx <= sxe);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1089 if (!*bxe) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1090 bx = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1091 while(--bxe > bx && !*bxe)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1092 --n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1093 b->wds = n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1094 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1095 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1096 if (cmp(b, S) >= 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1097 q++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1098 borrow = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1099 carry = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1100 bx = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1101 sx = S->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1102 do {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1103 #ifdef ULLong
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1104 ys = *sx++ + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1105 carry = ys >> 32;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1106 y = *bx - (ys & FFFFFFFF) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1107 borrow = y >> 32 & (ULong)1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1108 *bx++ = (ULong)(y & FFFFFFFF);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1109 #else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1110 si = *sx++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1111 ys = (si & 0xffff) + carry;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1112 zs = (si >> 16) + (ys >> 16);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1113 carry = zs >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1114 y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1115 borrow = (y & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1116 z = (*bx >> 16) - (zs & 0xffff) - borrow;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1117 borrow = (z & 0x10000) >> 16;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1118 Storeinc(bx, z, y);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1119 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1120 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1121 while(sx <= sxe);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1122 bx = b->x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1123 bxe = bx + n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1124 if (!*bxe) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1125 while(--bxe > bx && !*bxe)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1126 --n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1127 b->wds = n;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1128 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1129 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1130 return q;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1131 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1132
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1133
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1134 /* return 0 on success, -1 on failure */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1135
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1136 static int
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1137 bigcomp(U rv, const char s0, BCinfo *bc)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1138 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1139 Bigint b, d;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1140 int b2, bbits, d2, dd, dig, dsign, i, j, nd, nd0, p2, p5, speccase;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1141
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1142 dsign = bc->dsign;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1143 nd = bc->nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1144 nd0 = bc->nd0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1145 p5 = nd + bc->e0 - 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1146 speccase = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1147 if (rv->d == 0.) { /* special case: value near underflow-to-zero */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1148 /* threshold was rounded to zero */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1149 b = i2b(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1150 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1151 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1152 p2 = Emin - P + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1153 bbits = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1154 word0(rv) = (P+2) << Exp_shift;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1155 i = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1156 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1157 speccase = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1158 --p2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1159 dsign = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1160 goto have_i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1161 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1162 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1163 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1164 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1165 b = d2b(rv, &p2, &bbits);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1166 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1167 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1168 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1169 p2 -= bc->scale;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1170 /* floor(log2(rv)) == bbits - 1 + p2 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1171 /* Check for denormal case. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1172 i = P - bbits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1173 if (i > (j = P - Emin - 1 + p2)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1174 i = j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1175 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1176 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1177 b = lshift(b, ++i);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1178 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1179 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1180 b->x[0] \|= 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1181 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1182 have_i:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1183 p2 -= p5 + i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1184 d = i2b(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1185 if (d == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1186 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1187 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1188 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1189 /* Arrange for convenient computation of quotients:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1190 * shift left if necessary so divisor has 4 leading 0 bits.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1191 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1192 if (p5 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1193 d = pow5mult(d, p5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1194 if (d == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1195 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1196 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1197 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1198 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1199 else if (p5 < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1200 b = pow5mult(b, -p5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1201 if (b == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1202 Bfree(d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1203 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1204 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1205 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1206 if (p2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1207 b2 = p2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1208 d2 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1209 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1210 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1211 b2 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1212 d2 = -p2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1213 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1214 i = dshift(d, d2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1215 if ((b2 += i) > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1216 b = lshift(b, b2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1217 if (b == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1218 Bfree(d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1219 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1220 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1221 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1222 if ((d2 += i) > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1223 d = lshift(d, d2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1224 if (d == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1225 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1226 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1227 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1228 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1229
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1230 /* Now b/d = exactly half-way between the two floating-point values */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1231 /* on either side of the input string. Compute first digit of b/d. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1232
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1233 if (!(dig = quorem(b,d))) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1234 b = multadd(b, 10, 0); /* very unlikely */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1235 if (b == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1236 Bfree(d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1237 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1238 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1239 dig = quorem(b,d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1240 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1241
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1242 /* Compare b/d with s0 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1243
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1244 assert(nd > 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1245 dd = 9999; /* silence gcc compiler warning */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1246 for(i = 0; i < nd0; ) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1247 if ((dd = s0[i++] - '0' - dig))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1248 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1249 if (!b->x[0] && b->wds == 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1250 if (i < nd)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1251 dd = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1252 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1253 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1254 b = multadd(b, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1255 if (b == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1256 Bfree(d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1257 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1258 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1259 dig = quorem(b,d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1260 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1261 for(j = bc->dp1; i++ < nd;) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1262 if ((dd = s0[j++] - '0' - dig))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1263 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1264 if (!b->x[0] && b->wds == 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1265 if (i < nd)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1266 dd = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1267 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1268 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1269 b = multadd(b, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1270 if (b == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1271 Bfree(d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1272 return -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1273 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1274 dig = quorem(b,d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1275 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1276 if (b->x[0] \|\| b->wds > 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1277 dd = -1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1278 ret:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1279 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1280 Bfree(d);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1281 if (speccase) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1282 if (dd <= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1283 rv->d = 0.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1284 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1285 else if (dd < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1286 if (!dsign) /* does not happen for round-near */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1287 retlow1:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1288 dval(rv) -= ulp(rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1289 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1290 else if (dd > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1291 if (dsign) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1292 rethi1:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1293 dval(rv) += ulp(rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1294 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1295 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1296 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1297 /* Exact half-way case: apply round-even rule. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1298 if (word1(rv) & 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1299 if (dsign)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1300 goto rethi1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1301 goto retlow1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1302 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1303 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1304
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1305 return 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1306 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1307
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1308 double
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1309 _Py_dg_strtod(const char s00, char *se)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1310 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1311 int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, e, e1, error;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1312 int esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1313 const char s, s0, *s1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1314 double aadj, aadj1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1315 Long L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1316 U aadj2, adj, rv, rv0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1317 ULong y, z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1318 BCinfo bc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1319 Bigint bb, bb1, bd, bd0, bs, delta;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1320
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1321 sign = nz0 = nz = bc.dplen = bc.uflchk = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1322 dval(&rv) = 0.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1323 for(s = s00;;s++) switch(*s) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1324 case '-':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1325 sign = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1326 /* no break */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1327 case '+':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1328 if (*++s)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1329 goto break2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1330 /* no break */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1331 case 0:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1332 goto ret0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1333 /* modify original dtoa.c so that it doesn't accept leading whitespace
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1334 case '\t':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1335 case '\n':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1336 case '\v':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1337 case '\f':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1338 case '\r':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1339 case ' ':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1340 continue;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1341 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1342 default:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1343 goto break2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1344 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1345 break2:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1346 if (*s == '0') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1347 nz0 = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1348 while(*++s == '0') ;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1349 if (!*s)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1350 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1351 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1352 s0 = s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1353 y = z = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1354 for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1355 if (nd < 9)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1356 y = 10*y + c - '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1357 else if (nd < 16)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1358 z = 10*z + c - '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1359 nd0 = nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1360 bc.dp0 = bc.dp1 = s - s0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1361 if (c == '.') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1362 c = *++s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1363 bc.dp1 = s - s0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1364 bc.dplen = bc.dp1 - bc.dp0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1365 if (!nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1366 for(; c == '0'; c = *++s)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1367 nz++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1368 if (c > '0' && c <= '9') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1369 s0 = s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1370 nf += nz;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1371 nz = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1372 goto have_dig;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1373 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1374 goto dig_done;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1375 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1376 for(; c >= '0' && c <= '9'; c = *++s) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1377 have_dig:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1378 nz++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1379 if (c -= '0') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1380 nf += nz;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1381 for(i = 1; i < nz; i++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1382 if (nd++ < 9)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1383 y *= 10;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1384 else if (nd <= DBL_DIG + 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1385 z *= 10;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1386 if (nd++ < 9)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1387 y = 10*y + c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1388 else if (nd <= DBL_DIG + 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1389 z = 10*z + c;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1390 nz = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1391 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1392 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1393 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1394 dig_done:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1395 e = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1396 if (c == 'e' \|\| c == 'E') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1397 if (!nd && !nz && !nz0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1398 goto ret0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1399 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1400 s00 = s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1401 esign = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1402 switch(c = *++s) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1403 case '-':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1404 esign = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1405 case '+':
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1406 c = *++s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1407 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1408 if (c >= '0' && c <= '9') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1409 while(c == '0')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1410 c = *++s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1411 if (c > '0' && c <= '9') {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1412 L = c - '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1413 s1 = s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1414 while((c = *++s) >= '0' && c <= '9')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1415 L = 10*L + c - '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1416 if (s - s1 > 8 \|\| L > 19999)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1417 /* Avoid confusion from exponents
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1418 * so large that e might overflow.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1419 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1420 e = 19999; /* safe for 16 bit ints */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1421 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1422 e = (int)L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1423 if (esign)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1424 e = -e;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1425 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1426 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1427 e = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1428 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1429 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1430 s = s00;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1431 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1432 if (!nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1433 if (!nz && !nz0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1434 ret0:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1435 s = s00;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1436 sign = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1437 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1438 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1439 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1440 bc.e0 = e1 = e -= nf;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1441
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1442 /* Now we have nd0 digits, starting at s0, followed by a
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1443 * decimal point, followed by nd-nd0 digits. The number we're
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1444 * after is the integer represented by those digits times
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1445 * 10*e /
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1446
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1447 if (!nd0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1448 nd0 = nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1449 k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1450 dval(&rv) = y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1451 if (k > 9) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1452 dval(&rv) = tens[k - 9] * dval(&rv) + z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1453 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1454 bd0 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1455 if (nd <= DBL_DIG
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1456 && Flt_Rounds == 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1457 ) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1458 if (!e)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1459 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1460 if (e > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1461 if (e <= Ten_pmax) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1462 dval(&rv) *= tens[e];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1463 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1464 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1465 i = DBL_DIG - nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1466 if (e <= Ten_pmax + i) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1467 /* A fancier test would sometimes let us do
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1468 * this for larger i values.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1469 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1470 e -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1471 dval(&rv) *= tens[i];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1472 dval(&rv) *= tens[e];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1473 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1474 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1475 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1476 else if (e >= -Ten_pmax) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1477 dval(&rv) /= tens[-e];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1478 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1479 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1480 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1481 e1 += nd - k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1482
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1483 bc.scale = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1484
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1485 /* Get starting approximation = rv * 10*e1 /
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1486
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1487 if (e1 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1488 if ((i = e1 & 15))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1489 dval(&rv) *= tens[i];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1490 if (e1 &= ~15) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1491 if (e1 > DBL_MAX_10_EXP) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1492 ovfl:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1493 errno = ERANGE;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1494 /* Can't trust HUGE_VAL */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1495 word0(&rv) = Exp_mask;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1496 word1(&rv) = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1497 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1498 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1499 e1 >>= 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1500 for(j = 0; e1 > 1; j++, e1 >>= 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1501 if (e1 & 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1502 dval(&rv) *= bigtens[j];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1503 /* The last multiplication could overflow. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1504 word0(&rv) -= P*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1505 dval(&rv) *= bigtens[j];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1506 if ((z = word0(&rv) & Exp_mask)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1507 > Exp_msk1*(DBL_MAX_EXP+Bias-P))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1508 goto ovfl;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1509 if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1510 /* set to largest number */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1511 /* (Can't trust DBL_MAX) */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1512 word0(&rv) = Big0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1513 word1(&rv) = Big1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1514 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1515 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1516 word0(&rv) += P*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1517 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1518 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1519 else if (e1 < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1520 e1 = -e1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1521 if ((i = e1 & 15))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1522 dval(&rv) /= tens[i];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1523 if (e1 >>= 4) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1524 if (e1 >= 1 << n_bigtens)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1525 goto undfl;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1526 if (e1 & Scale_Bit)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1527 bc.scale = 2*P;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1528 for(j = 0; e1 > 0; j++, e1 >>= 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1529 if (e1 & 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1530 dval(&rv) *= tinytens[j];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1531 if (bc.scale && (j = 2*P + 1 - ((word0(&rv) & Exp_mask)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1532 >> Exp_shift)) > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1533 /* scaled rv is denormal; clear j low bits */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1534 if (j >= 32) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1535 word1(&rv) = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1536 if (j >= 53)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1537 word0(&rv) = (P+2)*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1538 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1539 word0(&rv) &= 0xffffffff << (j-32);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1540 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1541 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1542 word1(&rv) &= 0xffffffff << j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1543 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1544 if (!dval(&rv)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1545 undfl:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1546 dval(&rv) = 0.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1547 errno = ERANGE;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1548 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1549 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1550 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1551 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1552
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1553 /* Now the hard part -- adjusting rv to the correct value.*/
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1554
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1555 /* Put digits into bd: true value = bd * 10^e */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1556
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1557 bc.nd = nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1558 bc.nd0 = nd0; /* Only needed if nd > strtod_diglim, but done here */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1559 /* to silence an erroneous warning about bc.nd0 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1560 /* possibly not being initialized. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1561 if (nd > strtod_diglim) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1562 /* ASSERT(strtod_diglim >= 18); 18 == one more than the */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1563 /* minimum number of decimal digits to distinguish double values */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1564 /* in IEEE arithmetic. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1565 i = j = 18;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1566 if (i > nd0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1567 j += bc.dplen;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1568 for(;;) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1569 if (--j <= bc.dp1 && j >= bc.dp0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1570 j = bc.dp0 - 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1571 if (s0[j] != '0')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1572 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1573 --i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1574 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1575 e += nd - i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1576 nd = i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1577 if (nd0 > nd)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1578 nd0 = nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1579 if (nd < 9) { /* must recompute y */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1580 y = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1581 for(i = 0; i < nd0; ++i)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1582 y = 10*y + s0[i] - '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1583 for(j = bc.dp1; i < nd; ++i)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1584 y = 10*y + s0[j++] - '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1585 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1586 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1587 bd0 = s2b(s0, nd0, nd, y, bc.dplen);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1588 if (bd0 == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1589 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1590
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1591 for(;;) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1592 bd = Balloc(bd0->k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1593 if (bd == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1594 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1595 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1596 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1597 Bcopy(bd, bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1598 bb = d2b(&rv, &bbe, &bbbits); /* rv = bb * 2^bbe */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1599 if (bb == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1600 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1601 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1602 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1603 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1604 bs = i2b(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1605 if (bs == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1606 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1607 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1608 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1609 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1610 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1611
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1612 if (e >= 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1613 bb2 = bb5 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1614 bd2 = bd5 = e;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1615 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1616 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1617 bb2 = bb5 = -e;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1618 bd2 = bd5 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1619 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1620 if (bbe >= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1621 bb2 += bbe;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1622 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1623 bd2 -= bbe;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1624 bs2 = bb2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1625 j = bbe - bc.scale;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1626 i = j + bbbits - 1; /* logb(rv) */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1627 if (i < Emin) /* denormal */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1628 j += P - Emin;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1629 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1630 j = P + 1 - bbbits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1631 bb2 += j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1632 bd2 += j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1633 bd2 += bc.scale;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1634 i = bb2 < bd2 ? bb2 : bd2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1635 if (i > bs2)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1636 i = bs2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1637 if (i > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1638 bb2 -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1639 bd2 -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1640 bs2 -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1641 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1642 if (bb5 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1643 bs = pow5mult(bs, bb5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1644 if (bs == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1645 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1646 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1647 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1648 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1649 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1650 bb1 = mult(bs, bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1651 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1652 bb = bb1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1653 if (bb == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1654 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1655 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1656 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1657 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1658 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1659 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1660 if (bb2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1661 bb = lshift(bb, bb2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1662 if (bb == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1663 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1664 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1665 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1666 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1667 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1668 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1669 if (bd5 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1670 bd = pow5mult(bd, bd5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1671 if (bd == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1672 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1673 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1674 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1675 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1676 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1677 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1678 if (bd2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1679 bd = lshift(bd, bd2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1680 if (bd == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1681 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1682 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1683 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1684 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1685 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1686 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1687 if (bs2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1688 bs = lshift(bs, bs2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1689 if (bs == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1690 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1691 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1692 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1693 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1694 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1695 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1696 delta = diff(bb, bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1697 if (delta == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1698 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1699 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1700 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1701 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1702 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1703 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1704 bc.dsign = delta->sign;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1705 delta->sign = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1706 i = cmp(delta, bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1707 if (bc.nd > nd && i <= 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1708 if (bc.dsign)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1709 break; /* Must use bigcomp(). */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1710 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1711 bc.nd = nd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1712 i = -1; /* Discarded digits make delta smaller. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1713 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1714 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1715
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1716 if (i < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1717 /* Error is less than half an ulp -- check for
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1718 * special case of mantissa a power of two.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1719 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1720 if (bc.dsign \|\| word1(&rv) \|\| word0(&rv) & Bndry_mask
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1721 \|\| (word0(&rv) & Exp_mask) <= (2P+1)Exp_msk1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1722 ) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1723 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1724 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1725 if (!delta->x[0] && delta->wds <= 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1726 /* exact result */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1727 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1728 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1729 delta = lshift(delta,Log2P);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1730 if (delta == NULL) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1731 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1732 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1733 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1734 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1735 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1736 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1737 if (cmp(delta, bs) > 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1738 goto drop_down;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1739 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1740 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1741 if (i == 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1742 /* exactly half-way between */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1743 if (bc.dsign) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1744 if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1745 && word1(&rv) == (
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1746 (bc.scale &&
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1747 (y = word0(&rv) & Exp_mask) <= 2PExp_msk1) ?
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1748 (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1749 0xffffffff)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1750 /boundary case -- increment exponent/
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1751 word0(&rv) = (word0(&rv) & Exp_mask)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1752 + Exp_msk1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1753 ;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1754 word1(&rv) = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1755 bc.dsign = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1756 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1757 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1758 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1759 else if (!(word0(&rv) & Bndry_mask) && !word1(&rv)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1760 drop_down:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1761 /* boundary case -- decrement exponent */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1762 if (bc.scale) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1763 L = word0(&rv) & Exp_mask;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1764 if (L <= (2P+1)Exp_msk1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1765 if (L > (P+2)*Exp_msk1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1766 /* round even ==> */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1767 /* accept rv */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1768 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1769 /* rv = smallest denormal */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1770 if (bc.nd >nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1771 bc.uflchk = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1772 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1773 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1774 goto undfl;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1775 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1776 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1777 L = (word0(&rv) & Exp_mask) - Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1778 word0(&rv) = L \| Bndry_mask1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1779 word1(&rv) = 0xffffffff;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1780 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1781 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1782 if (!(word1(&rv) & LSB))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1783 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1784 if (bc.dsign)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1785 dval(&rv) += ulp(&rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1786 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1787 dval(&rv) -= ulp(&rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1788 if (!dval(&rv)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1789 if (bc.nd >nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1790 bc.uflchk = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1791 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1792 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1793 goto undfl;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1794 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1795 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1796 bc.dsign = 1 - bc.dsign;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1797 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1798 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1799 if ((aadj = ratio(delta, bs)) <= 2.) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1800 if (bc.dsign)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1801 aadj = aadj1 = 1.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1802 else if (word1(&rv) \|\| word0(&rv) & Bndry_mask) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1803 if (word1(&rv) == Tiny1 && !word0(&rv)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1804 if (bc.nd >nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1805 bc.uflchk = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1806 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1807 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1808 goto undfl;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1809 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1810 aadj = 1.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1811 aadj1 = -1.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1812 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1813 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1814 /* special case -- power of FLT_RADIX to be */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1815 /* rounded down... */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1816
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1817 if (aadj < 2./FLT_RADIX)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1818 aadj = 1./FLT_RADIX;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1819 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1820 aadj *= 0.5;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1821 aadj1 = -aadj;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1822 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1823 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1824 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1825 aadj *= 0.5;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1826 aadj1 = bc.dsign ? aadj : -aadj;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1827 if (Flt_Rounds == 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1828 aadj1 += 0.5;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1829 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1830 y = word0(&rv) & Exp_mask;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1831
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1832 /* Check for overflow */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1833
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1834 if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1835 dval(&rv0) = dval(&rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1836 word0(&rv) -= P*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1837 adj.d = aadj1 * ulp(&rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1838 dval(&rv) += adj.d;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1839 if ((word0(&rv) & Exp_mask) >=
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1840 Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1841 if (word0(&rv0) == Big0 && word1(&rv0) == Big1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1842 goto ovfl;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1843 word0(&rv) = Big0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1844 word1(&rv) = Big1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1845 goto cont;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1846 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1847 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1848 word0(&rv) += P*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1849 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1850 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1851 if (bc.scale && y <= 2PExp_msk1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1852 if (aadj <= 0x7fffffff) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1853 if ((z = (ULong)aadj) <= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1854 z = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1855 aadj = z;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1856 aadj1 = bc.dsign ? aadj : -aadj;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1857 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1858 dval(&aadj2) = aadj1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1859 word0(&aadj2) += (2P+1)Exp_msk1 - y;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1860 aadj1 = dval(&aadj2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1861 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1862 adj.d = aadj1 * ulp(&rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1863 dval(&rv) += adj.d;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1864 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1865 z = word0(&rv) & Exp_mask;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1866 if (bc.nd == nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1867 if (!bc.scale)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1868 if (y == z) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1869 /* Can we stop now? */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1870 L = (Long)aadj;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1871 aadj -= L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1872 /* The tolerances below are conservative. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1873 if (bc.dsign \|\| word1(&rv) \|\| word0(&rv) & Bndry_mask) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1874 if (aadj < .4999999 \|\| aadj > .5000001)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1875 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1876 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1877 else if (aadj < .4999999/FLT_RADIX)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1878 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1879 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1880 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1881 cont:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1882 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1883 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1884 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1885 Bfree(delta);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1886 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1887 Bfree(bb);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1888 Bfree(bd);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1889 Bfree(bs);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1890 Bfree(bd0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1891 Bfree(delta);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1892 if (bc.nd > nd) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1893 error = bigcomp(&rv, s0, &bc);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1894 if (error)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1895 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1896 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1897
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1898 if (bc.scale) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1899 word0(&rv0) = Exp_1 - 2PExp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1900 word1(&rv0) = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1901 dval(&rv) *= dval(&rv0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1902 /* try to avoid the bug of testing an 8087 register value */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1903 if (!(word0(&rv) & Exp_mask))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1904 errno = ERANGE;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1905 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1906 ret:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1907 if (se)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1908 se = (char )s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1909 return sign ? -dval(&rv) : dval(&rv);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1910
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1911 failed_malloc:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1912 if (se)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1913 se = (char )s00;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1914 errno = ENOMEM;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1915 return -1.0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1916 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1917
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1918 static char *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1919 rv_alloc(int i)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1920 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1921 int j, k, *r;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1922
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1923 j = sizeof(ULong);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1924 for(k = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1925 sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= (unsigned)i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1926 j <<= 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1927 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1928 r = (int*)Balloc(k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1929 if (r == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1930 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1931 *r = k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1932 return (char *)(r+1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1933 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1934
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1935 static char *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1936 nrv_alloc(char s, char *rve, int n)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1937 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1938 char rv, t;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1939
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1940 rv = rv_alloc(n);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1941 if (rv == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1942 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1943 t = rv;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1944 while((t = s++)) t++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1945 if (rve)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1946 *rve = t;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1947 return rv;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1948 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1949
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1950 /* freedtoa(s) must be used to free values s returned by dtoa
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1951 * when MULTIPLE_THREADS is #defined. It should be used in all cases,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1952 * but for consistency with earlier versions of dtoa, it is optional
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1953 * when MULTIPLE_THREADS is not defined.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1954 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1955
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1956 void
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1957 _Py_dg_freedtoa(char *s)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1958 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1959 Bigint b = (Bigint )((int *)s - 1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1960 b->maxwds = 1 << (b->k = (int)b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1961 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1962 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1963
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1964 /* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1965 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1966 * Inspired by "How to Print Floating-Point Numbers Accurately" by
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1967 * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1968 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1969 * Modifications:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1970 * 1. Rather than iterating, we use a simple numeric overestimate
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1971 * to determine k = floor(log10(d)). We scale relevant
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1972 * quantities using O(log2(k)) rather than O(k) multiplications.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1973 * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1974 * try to generate digits strictly left to right. Instead, we
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1975 * compute with fewer bits and propagate the carry if necessary
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1976 * when rounding the final digit up. This is often faster.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1977 * 3. Under the assumption that input will be rounded nearest,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1978 * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1979 * That is, we allow equality in stopping tests when the
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1980 * round-nearest rule will give the same floating-point value
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1981 * as would satisfaction of the stopping test with strict
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1982 * inequality.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1983 * 4. We remove common factors of powers of 2 from relevant
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1984 * quantities.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1985 * 5. When converting floating-point integers less than 1e16,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1986 * we use floating-point arithmetic rather than resorting
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1987 * to multiple-precision integers.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1988 * 6. When asked to produce fewer than 15 digits, we first try
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1989 * to get by with floating-point arithmetic; we resort to
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1990 * multiple-precision integer arithmetic only if we cannot
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1991 * guarantee that the floating-point calculation has given
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1992 * the correctly rounded result. For k requested digits and
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1993 * "uniformly" distributed input, the probability is
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1994 * something like 10^(k-15) that we must resort to the Long
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1995 * calculation.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1996 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1997
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1998 /* Additional notes (METD): (1) returns NULL on failure. (2) to avoid memory
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	1999 leakage, a successful call to _Py_dg_dtoa should always be matched by a
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2000 call to _Py_dg_freedtoa. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2001
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2002 char *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2003 _Py_dg_dtoa(double dd, int mode, int ndigits,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2004 int decpt, int sign, char **rve)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2005 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2006 /* Arguments ndigits, decpt, sign are similar to those
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2007 of ecvt and fcvt; trailing zeros are suppressed from
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2008 the returned string. If not null, *rve is set to point
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2009 to the end of the return value. If d is +-Infinity or NaN,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2010 then *decpt is set to 9999.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2011
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2012 mode:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2013 0 ==> shortest string that yields d when read in
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2014 and rounded to nearest.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2015 1 ==> like 0, but with Steele & White stopping rule;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2016 e.g. with IEEE P754 arithmetic , mode 0 gives
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2017 1e23 whereas mode 1 gives 9.999999999999999e22.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2018 2 ==> max(1,ndigits) significant digits. This gives a
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2019 return value similar to that of ecvt, except
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2020 that trailing zeros are suppressed.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2021 3 ==> through ndigits past the decimal point. This
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2022 gives a return value similar to that from fcvt,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2023 except that trailing zeros are suppressed, and
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2024 ndigits can be negative.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2025 4,5 ==> similar to 2 and 3, respectively, but (in
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2026 round-nearest mode) with the tests of mode 0 to
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2027 possibly return a shorter string that rounds to d.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2028 With IEEE arithmetic and compilation with
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2029 -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2030 as modes 2 and 3 when FLT_ROUNDS != 1.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2031 6-9 ==> Debugging modes similar to mode - 4: don't try
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2032 fast floating-point estimate (if applicable).
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2033
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2034 Values of mode other than 0-9 are treated as mode 0.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2035
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2036 Sufficient space is allocated to the return value
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2037 to hold the suppressed trailing zeros.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2038 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2039
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2040 int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2041 j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2042 spec_case, try_quick;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2043 Long L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2044 int denorm;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2045 ULong x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2046 Bigint b, b1, delta, mlo, mhi, S;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2047 U d2, eps, u;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2048 double ds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2049 char s, s0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2050
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2051 /* set pointers to NULL, to silence gcc compiler warnings and make
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2052 cleanup easier on error */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2053 mlo = mhi = b = S = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2054 s0 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2055
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2056 u.d = dd;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2057 if (word0(&u) & Sign_bit) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2058 /* set sign for everything, including 0's and NaNs */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2059 *sign = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2060 word0(&u) &= ~Sign_bit; /* clear sign bit */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2061 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2062 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2063 *sign = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2064
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2065 /* quick return for Infinities, NaNs and zeros */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2066 if ((word0(&u) & Exp_mask) == Exp_mask)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2067 {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2068 /* Infinity or NaN */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2069 *decpt = 9999;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2070 if (!word1(&u) && !(word0(&u) & 0xfffff))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2071 return nrv_alloc("Infinity", rve, 8);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2072 return nrv_alloc("NaN", rve, 3);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2073 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2074 if (!dval(&u)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2075 *decpt = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2076 return nrv_alloc("0", rve, 1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2077 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2078
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2079 /* compute k = floor(log10(d)). The computation may leave k
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2080 one too large, but should never leave k too small. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2081 b = d2b(&u, &be, &bbits);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2082 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2083 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2084 if ((i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2085 dval(&d2) = dval(&u);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2086 word0(&d2) &= Frac_mask1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2087 word0(&d2) \|= Exp_11;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2088
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2089 /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2090 * log10(x) = log(x) / log(10)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2091 * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2092 * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2093 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2094 * This suggests computing an approximation k to log10(d) by
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2095 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2096 * k = (i - Bias)*0.301029995663981
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2097 * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2098 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2099 * We want k to be too large rather than too small.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2100 * The error in the first-order Taylor series approximation
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2101 * is in our favor, so we just round up the constant enough
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2102 * to compensate for any error in the multiplication of
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2103 * (i - Bias) by 0.301029995663981; since \|i - Bias\| <= 1077,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2104 * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2105 * adding 1e-13 to the constant term more than suffices.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2106 * Hence we adjust the constant term to 0.1760912590558.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2107 * (We could get a more accurate k by invoking log10,
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2108 * but this is probably not worthwhile.)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2109 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2110
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2111 i -= Bias;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2112 denorm = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2113 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2114 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2115 /* d is denormalized */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2116
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2117 i = bbits + be + (Bias + (P-1) - 1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2118 x = i > 32 ? word0(&u) << (64 - i) \| word1(&u) >> (i - 32)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2119 : word1(&u) << (32 - i);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2120 dval(&d2) = x;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2121 word0(&d2) -= 31Exp_msk1; / adjust exponent */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2122 i -= (Bias + (P-1) - 1) + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2123 denorm = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2124 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2125 ds = (dval(&d2)-1.5)*0.289529654602168 + 0.1760912590558 +
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2126 i*0.301029995663981;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2127 k = (int)ds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2128 if (ds < 0. && ds != k)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2129 k--; /* want k = floor(ds) */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2130 k_check = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2131 if (k >= 0 && k <= Ten_pmax) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2132 if (dval(&u) < tens[k])
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2133 k--;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2134 k_check = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2135 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2136 j = bbits - i - 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2137 if (j >= 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2138 b2 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2139 s2 = j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2140 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2141 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2142 b2 = -j;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2143 s2 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2144 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2145 if (k >= 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2146 b5 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2147 s5 = k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2148 s2 += k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2149 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2150 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2151 b2 -= k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2152 b5 = -k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2153 s5 = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2154 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2155 if (mode < 0 \|\| mode > 9)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2156 mode = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2157
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2158 try_quick = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2159
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2160 if (mode > 5) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2161 mode -= 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2162 try_quick = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2163 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2164 leftright = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2165 ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2166 /* silence erroneous "gcc -Wall" warning. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2167 switch(mode) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2168 case 0:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2169 case 1:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2170 i = 18;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2171 ndigits = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2172 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2173 case 2:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2174 leftright = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2175 /* no break */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2176 case 4:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2177 if (ndigits <= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2178 ndigits = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2179 ilim = ilim1 = i = ndigits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2180 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2181 case 3:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2182 leftright = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2183 /* no break */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2184 case 5:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2185 i = ndigits + k + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2186 ilim = i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2187 ilim1 = i - 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2188 if (i <= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2189 i = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2190 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2191 s0 = rv_alloc(i);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2192 if (s0 == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2193 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2194 s = s0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2195
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2196
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2197 if (ilim >= 0 && ilim <= Quick_max && try_quick) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2198
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2199 /* Try to get by with floating-point arithmetic. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2200
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2201 i = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2202 dval(&d2) = dval(&u);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2203 k0 = k;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2204 ilim0 = ilim;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2205 ieps = 2; /* conservative */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2206 if (k > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2207 ds = tens[k&0xf];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2208 j = k >> 4;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2209 if (j & Bletch) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2210 /* prevent overflows */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2211 j &= Bletch - 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2212 dval(&u) /= bigtens[n_bigtens-1];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2213 ieps++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2214 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2215 for(; j; j >>= 1, i++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2216 if (j & 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2217 ieps++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2218 ds *= bigtens[i];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2219 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2220 dval(&u) /= ds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2221 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2222 else if ((j1 = -k)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2223 dval(&u) *= tens[j1 & 0xf];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2224 for(j = j1 >> 4; j; j >>= 1, i++)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2225 if (j & 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2226 ieps++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2227 dval(&u) *= bigtens[i];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2228 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2229 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2230 if (k_check && dval(&u) < 1. && ilim > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2231 if (ilim1 <= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2232 goto fast_failed;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2233 ilim = ilim1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2234 k--;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2235 dval(&u) *= 10.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2236 ieps++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2237 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2238 dval(&eps) = ieps*dval(&u) + 7.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2239 word0(&eps) -= (P-1)*Exp_msk1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2240 if (ilim == 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2241 S = mhi = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2242 dval(&u) -= 5.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2243 if (dval(&u) > dval(&eps))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2244 goto one_digit;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2245 if (dval(&u) < -dval(&eps))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2246 goto no_digits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2247 goto fast_failed;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2248 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2249 if (leftright) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2250 /* Use Steele & White method of only
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2251 * generating digits needed.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2252 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2253 dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2254 for(i = 0;;) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2255 L = (Long)dval(&u);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2256 dval(&u) -= L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2257 *s++ = '0' + (int)L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2258 if (dval(&u) < dval(&eps))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2259 goto ret1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2260 if (1. - dval(&u) < dval(&eps))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2261 goto bump_up;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2262 if (++i >= ilim)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2263 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2264 dval(&eps) *= 10.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2265 dval(&u) *= 10.;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2266 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2267 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2268 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2269 /* Generate ilim digits, then fix them up. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2270 dval(&eps) *= tens[ilim-1];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2271 for(i = 1;; i++, dval(&u) *= 10.) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2272 L = (Long)(dval(&u));
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2273 if (!(dval(&u) -= L))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2274 ilim = i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2275 *s++ = '0' + (int)L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2276 if (i == ilim) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2277 if (dval(&u) > 0.5 + dval(&eps))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2278 goto bump_up;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2279 else if (dval(&u) < 0.5 - dval(&eps)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2280 while(*--s == '0');
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2281 s++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2282 goto ret1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2283 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2284 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2285 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2286 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2287 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2288 fast_failed:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2289 s = s0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2290 dval(&u) = dval(&d2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2291 k = k0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2292 ilim = ilim0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2293 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2294
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2295 /* Do we have a "small" integer? */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2296
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2297 if (be >= 0 && k <= Int_max) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2298 /* Yes. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2299 ds = tens[k];
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2300 if (ndigits < 0 && ilim <= 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2301 S = mhi = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2302 if (ilim < 0 \|\| dval(&u) <= 5*ds)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2303 goto no_digits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2304 goto one_digit;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2305 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2306 for(i = 1;; i++, dval(&u) *= 10.) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2307 L = (Long)(dval(&u) / ds);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2308 dval(&u) -= L*ds;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2309 *s++ = '0' + (int)L;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2310 if (!dval(&u)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2311 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2312 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2313 if (i == ilim) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2314 dval(&u) += dval(&u);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2315 if (dval(&u) > ds \|\| (dval(&u) == ds && L & 1)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2316 bump_up:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2317 while(*--s == '9')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2318 if (s == s0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2319 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2320 *s = '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2321 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2322 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2323 ++*s++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2324 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2325 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2326 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2327 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2328 goto ret1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2329 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2330
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2331 m2 = b2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2332 m5 = b5;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2333 if (leftright) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2334 i =
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2335 denorm ? be + (Bias + (P-1) - 1 + 1) :
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2336 1 + P - bbits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2337 b2 += i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2338 s2 += i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2339 mhi = i2b(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2340 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2341 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2342 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2343 if (m2 > 0 && s2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2344 i = m2 < s2 ? m2 : s2;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2345 b2 -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2346 m2 -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2347 s2 -= i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2348 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2349 if (b5 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2350 if (leftright) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2351 if (m5 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2352 mhi = pow5mult(mhi, m5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2353 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2354 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2355 b1 = mult(mhi, b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2356 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2357 b = b1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2358 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2359 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2360 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2361 if ((j = b5 - m5)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2362 b = pow5mult(b, j);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2363 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2364 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2365 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2366 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2367 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2368 b = pow5mult(b, b5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2369 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2370 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2371 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2372 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2373 S = i2b(1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2374 if (S == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2375 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2376 if (s5 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2377 S = pow5mult(S, s5);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2378 if (S == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2379 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2380 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2381
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2382 /* Check for special case that d is a normalized power of 2. */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2383
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2384 spec_case = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2385 if ((mode < 2 \|\| leftright)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2386 ) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2387 if (!word1(&u) && !(word0(&u) & Bndry_mask)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2388 && word0(&u) & (Exp_mask & ~Exp_msk1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2389 ) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2390 /* The special case */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2391 b2 += Log2P;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2392 s2 += Log2P;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2393 spec_case = 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2394 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2395 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2396
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2397 /* Arrange for convenient computation of quotients:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2398 * shift left if necessary so divisor has 4 leading 0 bits.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2399 *
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2400 * Perhaps we should just compute leading 28 bits of S once
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2401 * and for all and pass them and a shift to quorem, so it
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2402 * can do shifts and ors to compute the numerator for q.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2403 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2404 if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2405 i = 32 - i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2406 #define iInc 28
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2407 i = dshift(S, s2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2408 b2 += i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2409 m2 += i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2410 s2 += i;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2411 if (b2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2412 b = lshift(b, b2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2413 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2414 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2415 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2416 if (s2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2417 S = lshift(S, s2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2418 if (S == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2419 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2420 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2421 if (k_check) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2422 if (cmp(b,S) < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2423 k--;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2424 b = multadd(b, 10, 0); /* we botched the k estimate */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2425 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2426 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2427 if (leftright) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2428 mhi = multadd(mhi, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2429 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2430 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2431 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2432 ilim = ilim1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2433 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2434 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2435 if (ilim <= 0 && (mode == 3 \|\| mode == 5)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2436 if (ilim < 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2437 /* no digits, fcvt style */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2438 no_digits:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2439 k = -1 - ndigits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2440 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2441 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2442 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2443 S = multadd(S, 5, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2444 if (S == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2445 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2446 if (cmp(b, S) <= 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2447 goto no_digits;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2448 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2449 one_digit:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2450 *s++ = '1';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2451 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2452 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2453 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2454 if (leftright) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2455 if (m2 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2456 mhi = lshift(mhi, m2);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2457 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2458 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2459 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2460
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2461 /* Compute mlo -- check for special case
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2462 * that d is a normalized power of 2.
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2463 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2464
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2465 mlo = mhi;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2466 if (spec_case) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2467 mhi = Balloc(mhi->k);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2468 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2469 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2470 Bcopy(mhi, mlo);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2471 mhi = lshift(mhi, Log2P);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2472 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2473 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2474 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2475
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2476 for(i = 1;;i++) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2477 dig = quorem(b,S) + '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2478 /* Do we yet have the shortest decimal string
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2479 * that will round to d?
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2480 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2481 j = cmp(b, mlo);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2482 delta = diff(S, mhi);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2483 if (delta == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2484 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2485 j1 = delta->sign ? 1 : cmp(b, delta);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2486 Bfree(delta);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2487 if (j1 == 0 && mode != 1 && !(word1(&u) & 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2488 ) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2489 if (dig == '9')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2490 goto round_9_up;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2491 if (j > 0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2492 dig++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2493 *s++ = dig;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2494 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2495 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2496 if (j < 0 \|\| (j == 0 && mode != 1
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2497 && !(word1(&u) & 1)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2498 )) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2499 if (!b->x[0] && b->wds <= 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2500 goto accept_dig;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2501 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2502 if (j1 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2503 b = lshift(b, 1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2504 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2505 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2506 j1 = cmp(b, S);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2507 if ((j1 > 0 \|\| (j1 == 0 && dig & 1))
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2508 && dig++ == '9')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2509 goto round_9_up;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2510 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2511 accept_dig:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2512 *s++ = dig;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2513 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2514 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2515 if (j1 > 0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2516 if (dig == '9') { /* possible if i == 1 */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2517 round_9_up:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2518 *s++ = '9';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2519 goto roundoff;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2520 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2521 *s++ = dig + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2522 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2523 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2524 *s++ = dig;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2525 if (i == ilim)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2526 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2527 b = multadd(b, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2528 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2529 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2530 if (mlo == mhi) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2531 mlo = mhi = multadd(mhi, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2532 if (mlo == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2533 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2534 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2535 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2536 mlo = multadd(mlo, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2537 if (mlo == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2538 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2539 mhi = multadd(mhi, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2540 if (mhi == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2541 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2542 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2543 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2544 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2545 else
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2546 for(i = 1;; i++) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2547 *s++ = dig = quorem(b,S) + '0';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2548 if (!b->x[0] && b->wds <= 1) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2549 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2550 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2551 if (i >= ilim)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2552 break;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2553 b = multadd(b, 10, 0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2554 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2555 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2556 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2557
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2558 /* Round off last digit */
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2559
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2560 b = lshift(b, 1);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2561 if (b == NULL)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2562 goto failed_malloc;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2563 j = cmp(b, S);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2564 if (j > 0 \|\| (j == 0 && dig & 1)) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2565 roundoff:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2566 while(*--s == '9')
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2567 if (s == s0) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2568 k++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2569 *s++ = '1';
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2570 goto ret;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2571 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2572 ++*s++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2573 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2574 else {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2575 while(*--s == '0');
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2576 s++;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2577 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2578 ret:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2579 Bfree(S);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2580 if (mhi) {
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2581 if (mlo && mlo != mhi)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2582 Bfree(mlo);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2583 Bfree(mhi);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2584 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2585 ret1:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2586 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2587 *s = 0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2588 *decpt = k + 1;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2589 if (rve)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2590 *rve = s;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2591 return s0;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2592 failed_malloc:
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2593 if (S)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2594 Bfree(S);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2595 if (mlo && mlo != mhi)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2596 Bfree(mlo);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2597 if (mhi)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2598 Bfree(mhi);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2599 if (b)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2600 Bfree(b);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2601 if (s0)
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2602 _Py_dg_freedtoa(s0);
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2603 return NULL;
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2604 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2605 #ifdef __cplusplus
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2606 }
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2607 #endif
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2608
2146bbdf4ed7 Issue #7117: Prepare for backport of py3k float repr. Mark Dickinson <dickinsm@gmail.com> parents: diff changeset	2609 #endif /* PY_NO_SHORT_FLOAT_REPR */

Mercurial > cpython-lru_cache-weakref

annotate Python/dtoa.c @ 57303:4aa4c19dfaed legacy-trunk