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

annotate Python/dtoa.c @ 53191:cc5565415ada

Ladies and gentlemen, the new float.__repr__() has arrived.

author	Raymond Hettinger <python@rcn.com>
date	Fri, 17 Apr 2009 00:11:54 +0000
parents	97ae7a709c1d
children	ab06a38b590c

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

Mercurial > cpython-lru_cache-weakref

annotate Python/dtoa.c @ 53191:cc5565415ada