687 lines
25 KiB
HTML
687 lines
25 KiB
HTML
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<HTML>
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<HEAD>
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<TITLE>Berkeley SoftFloat Source Documentation</TITLE>
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</HEAD>
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<BODY>
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<H1>Berkeley SoftFloat Release 3e: Source Documentation</H1>
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<P>
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John R. Hauser<BR>
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2018 January 20<BR>
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</P>
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<H2>Contents</H2>
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<BLOCKQUOTE>
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<TABLE BORDER=0 CELLSPACING=0 CELLPADDING=0>
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<COL WIDTH=25>
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<COL WIDTH=*>
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<TR><TD COLSPAN=2>1. Introduction</TD></TR>
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<TR><TD COLSPAN=2>2. Limitations</TD></TR>
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<TR><TD COLSPAN=2>3. Acknowledgments and License</TD></TR>
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<TR><TD COLSPAN=2>4. SoftFloat Package Directory Structure</TD></TR>
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<TR><TD COLSPAN=2>5. Issues for Porting SoftFloat to a New Target</TD></TR>
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<TR>
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<TD></TD>
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<TD>5.1. Standard Headers <CODE><stdbool.h></CODE> and
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<CODE><stdint.h></CODE></TD>
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</TR>
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<TR><TD></TD><TD>5.2. Specializing Floating-Point Behavior</TD></TR>
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<TR><TD></TD><TD>5.3. Macros for Build Options</TD></TR>
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<TR><TD></TD><TD>5.4. Adapting a Template Target Directory</TD></TR>
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<TR>
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<TD></TD><TD>5.5. Target-Specific Optimization of Primitive Functions</TD>
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</TR>
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<TR><TD COLSPAN=2>6. Testing SoftFloat</TD></TR>
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<TR>
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<TD COLSPAN=2>7. Providing SoftFloat as a Common Library for Applications</TD>
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</TR>
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<TR><TD COLSPAN=2>8. Contact Information</TD></TR>
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</TABLE>
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</BLOCKQUOTE>
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<H2>1. Introduction</H2>
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<P>
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This document gives information needed for compiling and/or porting Berkeley
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SoftFloat, a library of C functions implementing binary floating-point
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conforming to the IEEE Standard for Floating-Point Arithmetic.
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For basic documentation about SoftFloat refer to
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<A HREF="SoftFloat.html"><NOBR><CODE>SoftFloat.html</CODE></NOBR></A>.
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</P>
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<P>
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The source code for SoftFloat is intended to be relatively machine-independent
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and should be compilable with any ISO-Standard C compiler that also supports
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<NOBR>64-bit</NOBR> integers.
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SoftFloat has been successfully compiled with the GNU C Compiler
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(<CODE>gcc</CODE>) for several platforms.
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</P>
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<P>
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<NOBR>Release 3</NOBR> of SoftFloat was a complete rewrite relative to
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<NOBR>Release 2</NOBR> or earlier.
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Changes to the interface of SoftFloat functions are documented in
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<A HREF="SoftFloat.html"><NOBR><CODE>SoftFloat.html</CODE></NOBR></A>.
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The current version of SoftFloat is <NOBR>Release 3e</NOBR>.
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</P>
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<H2>2. Limitations</H2>
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<P>
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SoftFloat assumes the computer has an addressable byte size of either 8 or
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<NOBR>16 bits</NOBR>.
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(Nearly all computers in use today have <NOBR>8-bit</NOBR> bytes.)
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</P>
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<P>
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SoftFloat is written in C and is designed to work with other C code.
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The C compiler used must conform at a minimum to the 1989 ANSI standard for the
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C language (same as the 1990 ISO standard) and must in addition support basic
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arithmetic on <NOBR>64-bit</NOBR> integers.
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Earlier releases of SoftFloat included implementations of <NOBR>32-bit</NOBR>
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single-precision and <NOBR>64-bit</NOBR> double-precision floating-point that
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did not require <NOBR>64-bit</NOBR> integers, but this option is not supported
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starting with <NOBR>Release 3</NOBR>.
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Since 1999, ISO standards for C have mandated compiler support for
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<NOBR>64-bit</NOBR> integers.
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A compiler conforming to the 1999 C Standard or later is recommended but not
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strictly required.
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</P>
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<P>
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<NOBR>C Standard</NOBR> header files <CODE><stdbool.h></CODE> and
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<CODE><stdint.h></CODE> are required for defining standard Boolean and
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integer types.
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If these headers are not supplied with the C compiler, minimal substitutes must
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be provided.
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SoftFloat’s dependence on these headers is detailed later in
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<NOBR>section 5.1</NOBR>, <I>Standard Headers <CODE><stdbool.h></CODE>
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and <CODE><stdint.h></CODE></I>.
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</P>
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<H2>3. Acknowledgments and License</H2>
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<P>
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The SoftFloat package was written by me, <NOBR>John R.</NOBR> Hauser.
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<NOBR>Release 3</NOBR> of SoftFloat was a completely new implementation
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supplanting earlier releases.
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The project to create <NOBR>Release 3</NOBR> (now <NOBR>through 3e</NOBR>) was
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done in the employ of the University of California, Berkeley, within the
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Department of Electrical Engineering and Computer Sciences, first for the
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Parallel Computing Laboratory (Par Lab) and then for the ASPIRE Lab.
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The work was officially overseen by Prof. Krste Asanovic, with funding provided
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by these sources:
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<BLOCKQUOTE>
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<TABLE>
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<COL>
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<COL WIDTH=10>
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<COL>
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<TR>
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<TD VALIGN=TOP><NOBR>Par Lab:</NOBR></TD>
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<TD></TD>
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<TD>
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Microsoft (Award #024263), Intel (Award #024894), and U.C. Discovery
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(Award #DIG07-10227), with additional support from Par Lab affiliates Nokia,
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NVIDIA, Oracle, and Samsung.
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</TD>
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</TR>
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<TR>
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<TD VALIGN=TOP><NOBR>ASPIRE Lab:</NOBR></TD>
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<TD></TD>
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<TD>
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DARPA PERFECT program (Award #HR0011-12-2-0016), with additional support from
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ASPIRE industrial sponsor Intel and ASPIRE affiliates Google, Nokia, NVIDIA,
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Oracle, and Samsung.
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</TD>
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</TR>
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</TABLE>
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</BLOCKQUOTE>
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</P>
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<P>
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The following applies to the whole of SoftFloat <NOBR>Release 3e</NOBR> as well
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as to each source file individually.
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</P>
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<P>
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Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018 The Regents of the
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University of California.
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All rights reserved.
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</P>
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<P>
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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<OL>
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<LI>
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<P>
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Redistributions of source code must retain the above copyright notice, this
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list of conditions, and the following disclaimer.
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</P>
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<LI>
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<P>
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Redistributions in binary form must reproduce the above copyright notice, this
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list of conditions, and the following disclaimer in the documentation and/or
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other materials provided with the distribution.
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</P>
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<LI>
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<P>
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Neither the name of the University nor the names of its contributors may be
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used to endorse or promote products derived from this software without specific
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prior written permission.
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</P>
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</OL>
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</P>
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<P>
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THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS “AS IS”,
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
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DISCLAIMED.
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IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
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INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
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OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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</P>
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<H2>4. SoftFloat Package Directory Structure</H2>
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<P>
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Because SoftFloat is targeted to multiple platforms, its source code is
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slightly scattered between target-specific and target-independent directories
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and files.
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The supplied directory structure is as follows:
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<BLOCKQUOTE>
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<PRE>
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doc
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source
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include
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8086
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8086-SSE
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ARM-VFPv2
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ARM-VFPv2-defaultNaN
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build
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template-FAST_INT64
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template-not-FAST_INT64
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Linux-386-GCC
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Linux-386-SSE2-GCC
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Linux-x86_64-GCC
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Linux-ARM-VFPv2-GCC
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Win32-MinGW
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Win32-SSE2-MinGW
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Win64-MinGW-w64
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</PRE>
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</BLOCKQUOTE>
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The majority of the SoftFloat sources are provided in the <CODE>source</CODE>
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directory.
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The <CODE>include</CODE> subdirectory contains several header files
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(unsurprisingly), while the other subdirectories of <CODE>source</CODE> contain
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source files that specialize the floating-point behavior to match particular
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processor families:
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<BLOCKQUOTE>
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<DL>
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<DT><CODE>8086</CODE></DT>
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<DD>
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Intel’s older, 8087-derived floating-point, extended to all supported
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floating-point types
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</DD>
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<DT><CODE>8086-SSE</CODE></DT>
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<DD>
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Intel’s x86 processors with Streaming SIMD Extensions (SSE) and later
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compatible extensions, having 8087 behavior for <NOBR>80-bit</NOBR>
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double-extended-precision (<CODE>extFloat80_t</CODE>) and SSE behavior for
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other floating-point types
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</DD>
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<DT><CODE>ARM-VFPv2</CODE></DT>
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<DD>
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ARM’s VFPv2 or later floating-point, with NaN payload propagation
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</DD>
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<DT><CODE>ARM-VFPv2-defaultNaN</CODE></DT>
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<DD>
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ARM’s VFPv2 or later floating-point, with the “default NaN”
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option
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</DD>
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</DL>
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</BLOCKQUOTE>
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If other specializations are attempted, these would be expected to be other
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subdirectories of <CODE>source</CODE> alongside the ones listed above.
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Specialization is covered later, in <NOBR>section 5.2</NOBR>, <I>Specializing
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Floating-Point Behavior</I>.
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</P>
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<P>
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The <CODE>build</CODE> directory is intended to contain a subdirectory for each
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target platform for which a build of the SoftFloat library may be created.
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For each build target, the target’s subdirectory is where all derived
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object files and the completed SoftFloat library (typically
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<CODE>softfloat.a</CODE> or <CODE>libsoftfloat.a</CODE>) are created.
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The two <CODE>template</CODE> subdirectories are not actual build targets but
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contain sample files for creating new target directories.
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(The meaning of <CODE>FAST_INT64</CODE> will be explained later.)
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</P>
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<P>
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Ignoring the <CODE>template</CODE> directories, the supplied target directories
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are intended to follow a naming system of
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<NOBR><CODE><<I>execution-environment</I>>-<<I>compiler</I>></CODE></NOBR>.
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For the example targets,
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<NOBR><CODE><<I>execution-environment</I>></CODE></NOBR> is
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<NOBR><CODE>Linux-386</CODE></NOBR>, <NOBR><CODE>Linux-386-SSE2</CODE></NOBR>,
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<NOBR><CODE>Linux-x86_64</CODE></NOBR>,
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<NOBR><CODE>Linux-ARM-VFPv2</CODE></NOBR>, <CODE>Win32</CODE>,
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<NOBR><CODE>Win32-SSE2</CODE></NOBR>, or <CODE>Win64</CODE>, and
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<NOBR><CODE><<I>compiler</I>></CODE></NOBR> is <CODE>GCC</CODE>,
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<CODE>MinGW</CODE>, or <NOBR><CODE>MinGW-w64</CODE></NOBR>.
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</P>
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<P>
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All of the supplied target directories are merely examples that may or may not
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be correct for compiling on any particular system.
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Despite requests, there are currently no plans to include and maintain in the
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SoftFloat package the build files needed for a great many users’
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compilation environments, which can span a huge range of operating systems,
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compilers, and other tools.
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</P>
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<P>
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As supplied, each target directory contains two files:
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<BLOCKQUOTE>
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<PRE>
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Makefile
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platform.h
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</PRE>
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</BLOCKQUOTE>
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The provided <CODE>Makefile</CODE> is written for GNU <CODE>make</CODE>.
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A build of SoftFloat for the specific target is begun by executing the
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<CODE>make</CODE> command with the target directory as the current directory.
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A completely different build tool can be used if an appropriate
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<CODE>Makefile</CODE> equivalent is created.
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</P>
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<P>
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The <CODE>platform.h</CODE> header file exists to provide a location for
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additional C declarations specific to the build target.
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Every C source file of SoftFloat contains a <CODE>#include</CODE> for
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<CODE>platform.h</CODE>.
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In many cases, the contents of <CODE>platform.h</CODE> can be as simple as one
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or two lines of code.
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At the other extreme, to get maximal performance from SoftFloat, it may be
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desirable to include in header <CODE>platform.h</CODE> (directly or via
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<CODE>#include</CODE>) declarations for numerous target-specific optimizations.
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Such possibilities are discussed in the next section, <I>Issues for Porting
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SoftFloat to a New Target</I>.
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If the target’s compiler or library has bugs or other shortcomings,
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workarounds for these issues may also be possible with target-specific
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declarations in <CODE>platform.h</CODE>, avoiding the need to modify the main
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SoftFloat sources.
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</P>
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<H2>5. Issues for Porting SoftFloat to a New Target</H2>
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<H3>5.1. Standard Headers <CODE><stdbool.h></CODE> and <CODE><stdint.h></CODE></H3>
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<P>
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The SoftFloat sources make use of standard headers
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<CODE><stdbool.h></CODE> and <CODE><stdint.h></CODE>, which have
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been part of the ISO C Standard Library since 1999.
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With any recent compiler, these standard headers are likely to be supported,
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even if the compiler does not claim complete conformance to the latest ISO C
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Standard.
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For older or nonstandard compilers, substitutes for
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<CODE><stdbool.h></CODE> and <CODE><stdint.h></CODE> may need to be
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created.
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SoftFloat depends on these names from <CODE><stdbool.h></CODE>:
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<BLOCKQUOTE>
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<PRE>
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bool
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true
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false
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</PRE>
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</BLOCKQUOTE>
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and on these names from <CODE><stdint.h></CODE>:
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<BLOCKQUOTE>
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<PRE>
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uint16_t
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uint32_t
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uint64_t
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int32_t
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int64_t
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UINT64_C
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INT64_C
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uint_least8_t
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uint_fast8_t
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uint_fast16_t
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uint_fast32_t
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uint_fast64_t
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int_fast8_t
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int_fast16_t
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int_fast32_t
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int_fast64_t
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</PRE>
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</BLOCKQUOTE>
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</P>
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<H3>5.2. Specializing Floating-Point Behavior</H3>
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<P>
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The IEEE Floating-Point Standard allows for some flexibility in a conforming
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implementation, particularly concerning NaNs.
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The SoftFloat <CODE>source</CODE> directory is supplied with some
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<I>specialization</I> subdirectories containing possible definitions for this
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implementation-specific behavior.
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For example, the <CODE>8086</CODE> and <NOBR><CODE>8086-SSE</CODE></NOBR>
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subdirectories have source files that specialize SoftFloat’s behavior to
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match that of Intel’s x86 line of processors.
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The files in a specialization subdirectory must determine:
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<UL>
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<LI>
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whether tininess for underflow is detected before or after rounding by default;
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<LI>
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how signaling NaNs are distinguished from quiet NaNs;
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<LI>
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what (if anything) special happens when exceptions are raised;
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<LI>
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the default generated quiet NaNs;
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<LI>
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how NaNs are propagated from function inputs to output; and
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<LI>
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the integer results returned when conversions to integer type raise the
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<I>invalid</I> exception.
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</UL>
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</P>
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<P>
|
||
|
As provided, the build process for a target expects to involve exactly
|
||
|
<EM>one</EM> specialization directory that defines <EM>all</EM> of these
|
||
|
implementation-specific details for the target.
|
||
|
A specialization directory such as <CODE>8086</CODE> is expected to contain a
|
||
|
header file called <CODE>specialize.h</CODE>, together with whatever other
|
||
|
source files are needed to complete the specialization.
|
||
|
</P>
|
||
|
|
||
|
<P>
|
||
|
A new build target may use an existing specialization, such as the ones
|
||
|
provided by the <CODE>8086</CODE> and <NOBR><CODE>8086-SSE</CODE></NOBR>
|
||
|
subdirectories.
|
||
|
If a build target needs a new specialization, different from any existing ones,
|
||
|
it is recommended that a new specialization directory be created for this
|
||
|
purpose.
|
||
|
The <CODE>specialize.h</CODE> header file from any of the provided
|
||
|
specialization subdirectories can be used as a model for what definitions are
|
||
|
needed.
|
||
|
</P>
|
||
|
|
||
|
|
||
|
<H3>5.3. Macros for Build Options</H3>
|
||
|
|
||
|
<P>
|
||
|
The SoftFloat source files adapt the floating-point implementation according to
|
||
|
several C preprocessor macros:
|
||
|
<BLOCKQUOTE>
|
||
|
<DL>
|
||
|
<DT><CODE>LITTLEENDIAN</CODE>
|
||
|
<DD>
|
||
|
Must be defined for little-endian machines; must not be defined for big-endian
|
||
|
machines.
|
||
|
<DT><CODE>INLINE</CODE>
|
||
|
<DD>
|
||
|
Specifies the sequence of tokens used to indicate that a C function should be
|
||
|
inlined.
|
||
|
If macro <CODE>INLINE_LEVEL</CODE> is defined with a value of 1 or higher, this
|
||
|
macro must be defined; otherwise, this macro is ignored and need not be
|
||
|
defined.
|
||
|
For compilers that conform to the C Standard’s rules for inline
|
||
|
functions, this macro can be defined as the single keyword <CODE>inline</CODE>.
|
||
|
For other compilers that follow a convention pre-dating the standardization of
|
||
|
<CODE>inline</CODE>, this macro may need to be defined to <CODE>extern</CODE>
|
||
|
<CODE>inline</CODE>.
|
||
|
<DT><CODE>THREAD_LOCAL</CODE>
|
||
|
<DD>
|
||
|
Can be defined to a sequence of tokens that, when appearing at the start of a
|
||
|
variable declaration, indicates to the C compiler that the variable is
|
||
|
<I>per-thread</I>, meaning that each execution thread gets its own separate
|
||
|
instance of the variable.
|
||
|
This macro is used in header <CODE>softfloat.h</CODE> in the declarations of
|
||
|
variables <CODE>softfloat_roundingMode</CODE>,
|
||
|
<CODE>softfloat_detectTininess</CODE>, <CODE>extF80_roundingPrecision</CODE>,
|
||
|
and <CODE>softfloat_exceptionFlags</CODE>.
|
||
|
If macro <CODE>THREAD_LOCAL</CODE> is left undefined, these variables will
|
||
|
default to being ordinary global variables.
|
||
|
Depending on the compiler, possible valid definitions of this macro include
|
||
|
<CODE>_Thread_local</CODE> and <CODE>__thread</CODE>.
|
||
|
</DL>
|
||
|
<DL>
|
||
|
<DT><CODE>SOFTFLOAT_ROUND_ODD</CODE>
|
||
|
<DD>
|
||
|
Can be defined to enable support for optional rounding mode
|
||
|
<CODE>softfloat_round_odd</CODE>.
|
||
|
</DL>
|
||
|
<DL>
|
||
|
<DT><CODE>INLINE_LEVEL</CODE>
|
||
|
<DD>
|
||
|
Can be defined to an integer to determine the degree of inlining requested of
|
||
|
the compiler.
|
||
|
Larger numbers request that more inlining be done.
|
||
|
If this macro is not defined or is defined to a value less <NOBR>than 1</NOBR>
|
||
|
(zero or negative), no inlining is requested.
|
||
|
The maximum effective value is no higher <NOBR>than 5</NOBR>.
|
||
|
Defining this macro to a value greater than 5 is the same as defining it
|
||
|
<NOBR>to 5</NOBR>.
|
||
|
<DT><CODE>SOFTFLOAT_FAST_INT64</CODE>
|
||
|
<DD>
|
||
|
Can be defined to indicate that the build target’s implementation of
|
||
|
<NOBR>64-bit</NOBR> arithmetic is efficient.
|
||
|
For newer <NOBR>64-bit</NOBR> processors, this macro should usually be defined.
|
||
|
For very small microprocessors whose buses and registers are <NOBR>8-bit</NOBR>
|
||
|
or <NOBR>16-bit</NOBR> in size, this macro should usually not be defined.
|
||
|
Whether this macro should be defined for a <NOBR>32-bit</NOBR> processor may
|
||
|
depend on the target machine and the applications that will use SoftFloat.
|
||
|
<DT><CODE>SOFTFLOAT_FAST_DIV32TO16</CODE>
|
||
|
<DD>
|
||
|
Can be defined to indicate that the target’s division operator
|
||
|
<NOBR>in C</NOBR> (written as <CODE>/</CODE>) is reasonably efficient for
|
||
|
dividing a <NOBR>32-bit</NOBR> unsigned integer by a <NOBR>16-bit</NOBR>
|
||
|
unsigned integer.
|
||
|
Setting this macro may affect the performance of function <CODE>f16_div</CODE>.
|
||
|
<DT><CODE>SOFTFLOAT_FAST_DIV64TO32</CODE>
|
||
|
<DD>
|
||
|
Can be defined to indicate that the target’s division operator
|
||
|
<NOBR>in C</NOBR> (written as <CODE>/</CODE>) is reasonably efficient for
|
||
|
dividing a <NOBR>64-bit</NOBR> unsigned integer by a <NOBR>32-bit</NOBR>
|
||
|
unsigned integer.
|
||
|
Setting this macro may affect the performance of division, remainder, and
|
||
|
square root operations other than <CODE>f16_div</CODE>.
|
||
|
</DL>
|
||
|
</BLOCKQUOTE>
|
||
|
</P>
|
||
|
|
||
|
<P>
|
||
|
Following the usual custom <NOBR>for C</NOBR>, for most of these macros (all
|
||
|
except <CODE>INLINE</CODE>, <CODE>THREAD_LOCAL</CODE>, and
|
||
|
<CODE>INLINE_LEVEL</CODE>), the content of any definition is irrelevant;
|
||
|
what matters is a macro’s effect on <CODE>#ifdef</CODE> directives.
|
||
|
</P>
|
||
|
|
||
|
<P>
|
||
|
It is recommended that any definitions of macros <CODE>LITTLEENDIAN</CODE>,
|
||
|
<CODE>INLINE</CODE>, and <CODE>THREAD_LOCAL</CODE> be made in a build
|
||
|
target’s <CODE>platform.h</CODE> header file, because these macros are
|
||
|
expected to be determined inflexibly by the target machine and compiler.
|
||
|
The other five macros select options and control optimization, and thus might
|
||
|
be better located in the target’s Makefile (or its equivalent).
|
||
|
</P>
|
||
|
|
||
|
|
||
|
<H3>5.4. Adapting a Template Target Directory</H3>
|
||
|
|
||
|
<P>
|
||
|
In the <CODE>build</CODE> directory, two <CODE>template</CODE> subdirectories
|
||
|
provide models for new target directories.
|
||
|
Two different templates exist because different functions are needed in the
|
||
|
SoftFloat library depending on whether macro <CODE>SOFTFLOAT_FAST_INT64</CODE>
|
||
|
is defined.
|
||
|
If macro <CODE>SOFTFLOAT_FAST_INT64</CODE> will be defined,
|
||
|
<NOBR><CODE>template-FAST_INT64</CODE></NOBR> is the template to use;
|
||
|
otherwise, <NOBR><CODE>template-not-FAST_INT64</CODE></NOBR> is the appropriate
|
||
|
template.
|
||
|
A new target directory can be created by copying the correct template directory
|
||
|
and editing the files inside.
|
||
|
To avoid confusion, it would be wise to refrain from editing the files within a
|
||
|
template directory directly.
|
||
|
</P>
|
||
|
|
||
|
|
||
|
<H3>5.5. Target-Specific Optimization of Primitive Functions</H3>
|
||
|
|
||
|
<P>
|
||
|
Header file <CODE>primitives.h</CODE> (in directory
|
||
|
<CODE>source/include</CODE>) declares macros and functions for numerous
|
||
|
underlying arithmetic operations upon which many of SoftFloat’s
|
||
|
floating-point functions are ultimately built.
|
||
|
The SoftFloat sources include implementations of all of these functions/macros,
|
||
|
written as standard C code, so a complete and correct SoftFloat library can be
|
||
|
created using only the supplied code for all functions.
|
||
|
However, for many targets, SoftFloat’s performance can be improved by
|
||
|
substituting target-specific implementations of some of the functions/macros
|
||
|
declared in <CODE>primitives.h</CODE>.
|
||
|
</P>
|
||
|
|
||
|
<P>
|
||
|
For example, <CODE>primitives.h</CODE> declares a function called
|
||
|
<CODE>softfloat_countLeadingZeros32</CODE> that takes an unsigned
|
||
|
<NOBR>32-bit</NOBR> integer as an argument and returns the number of the
|
||
|
integer’s most-significant bits that are zeros.
|
||
|
While the SoftFloat sources include an implementation of this function written
|
||
|
in <NOBR>standard C</NOBR>, many processors can perform this same function
|
||
|
directly in only one or two machine instructions.
|
||
|
An alternative, target-specific implementation that maps to those instructions
|
||
|
is likely to be more efficient than the generic C code from the SoftFloat
|
||
|
package.
|
||
|
</P>
|
||
|
|
||
|
<P>
|
||
|
A build target can replace the supplied version of any function or macro of
|
||
|
<CODE>primitives.h</CODE> by defining a macro with the same name in the
|
||
|
target’s <CODE>platform.h</CODE> header file.
|
||
|
For this purpose, it may be helpful for <CODE>platform.h</CODE> to
|
||
|
<CODE>#include</CODE> header file <CODE>primitiveTypes.h</CODE>, which defines
|
||
|
types used for arguments and results of functions declared in
|
||
|
<CODE>primitives.h</CODE>.
|
||
|
When a desired replacement implementation is a function, not a macro, it is
|
||
|
sufficient for <CODE>platform.h</CODE> to include the line
|
||
|
<BLOCKQUOTE>
|
||
|
<PRE>
|
||
|
#define <<I>function-name</I>> <<I>function-name</I>>
|
||
|
</PRE>
|
||
|
</BLOCKQUOTE>
|
||
|
where <NOBR><CODE><<I>function-name</I>></CODE></NOBR> is the name of the
|
||
|
function.
|
||
|
This technically defines <NOBR><CODE><<I>function-name</I>></CODE></NOBR>
|
||
|
as a macro, but one that resolves to the same name, which may then be a
|
||
|
function.
|
||
|
(A preprocessor that conforms to the C Standard is required to limit recursive
|
||
|
macro expansion from being applied more than once.)
|
||
|
</P>
|
||
|
|
||
|
<P>
|
||
|
The supplied header file <CODE>opts-GCC.h</CODE> (in directory
|
||
|
<CODE>source/include</CODE>) provides an example of target-specific
|
||
|
optimization for the GCC compiler.
|
||
|
Each GCC target example in the <CODE>build</CODE> directory has
|
||
|
<BLOCKQUOTE>
|
||
|
<CODE>#include "opts-GCC.h"</CODE>
|
||
|
</BLOCKQUOTE>
|
||
|
in its <CODE>platform.h</CODE> header file.
|
||
|
Before <CODE>opts-GCC.h</CODE> is included, the following macros must be
|
||
|
defined (or not) to control which features are invoked:
|
||
|
<BLOCKQUOTE>
|
||
|
<DL>
|
||
|
<DT><CODE>SOFTFLOAT_BUILTIN_CLZ</CODE></DT>
|
||
|
<DD>
|
||
|
If defined, SoftFloat’s internal
|
||
|
‘<CODE>countLeadingZeros</CODE>’ functions use intrinsics
|
||
|
<CODE>__builtin_clz</CODE> and <CODE>__builtin_clzll</CODE>.
|
||
|
</DD>
|
||
|
<DT><CODE>SOFTFLOAT_INTRINSIC_INT128</CODE></DT>
|
||
|
<DD>
|
||
|
If defined, SoftFloat makes use of GCC’s nonstandard <NOBR>128-bit</NOBR>
|
||
|
integer type <CODE>__int128</CODE>.
|
||
|
</DD>
|
||
|
</DL>
|
||
|
</BLOCKQUOTE>
|
||
|
On some machines, these improvements are observed to increase the speeds of
|
||
|
<CODE>f64_mul</CODE> and <CODE>f128_mul</CODE> by around 20 to 25%, although
|
||
|
other functions receive less dramatic boosts, or none at all.
|
||
|
Results can vary greatly across different platforms.
|
||
|
</P>
|
||
|
|
||
|
|
||
|
<H2>6. Testing SoftFloat</H2>
|
||
|
|
||
|
<P>
|
||
|
SoftFloat can be tested using the <CODE>testsoftfloat</CODE> program by the
|
||
|
same author.
|
||
|
This program is part of the Berkeley TestFloat package available at the Web
|
||
|
page
|
||
|
<A HREF="http://www.jhauser.us/arithmetic/TestFloat.html"><NOBR><CODE>http://www.jhauser.us/arithmetic/TestFloat.html</CODE></NOBR></A>.
|
||
|
The TestFloat package also has a program called <CODE>timesoftfloat</CODE> that
|
||
|
measures the speed of SoftFloat’s floating-point functions.
|
||
|
</P>
|
||
|
|
||
|
|
||
|
<H2>7. Providing SoftFloat as a Common Library for Applications</H2>
|
||
|
|
||
|
<P>
|
||
|
Header file <CODE>softfloat.h</CODE> defines the SoftFloat interface as seen by
|
||
|
clients.
|
||
|
If the SoftFloat library will be made a common library for programs on a
|
||
|
system, the supplied <CODE>softfloat.h</CODE> has a couple of deficiencies for
|
||
|
this purpose:
|
||
|
<UL>
|
||
|
<LI>
|
||
|
As supplied, <CODE>softfloat.h</CODE> depends on another header,
|
||
|
<CODE>softfloat_types.h</CODE>, that is not intended for public use but which
|
||
|
must also be visible to the programmer’s compiler.
|
||
|
<LI>
|
||
|
More troubling, at the time <CODE>softfloat.h</CODE> is included in a C source
|
||
|
file, macros <CODE>SOFTFLOAT_FAST_INT64</CODE> and <CODE>THREAD_LOCAL</CODE>
|
||
|
must be defined, or not defined, consistent with how these macro were defined
|
||
|
when the SoftFloat library was built.
|
||
|
</UL>
|
||
|
In the situation that new programs may regularly <CODE>#include</CODE> header
|
||
|
file <CODE>softfloat.h</CODE>, it is recommended that a custom, self-contained
|
||
|
version of this header file be created that eliminates these issues.
|
||
|
</P>
|
||
|
|
||
|
|
||
|
<H2>8. Contact Information</H2>
|
||
|
|
||
|
<P>
|
||
|
At the time of this writing, the most up-to-date information about SoftFloat
|
||
|
and the latest release can be found at the Web page
|
||
|
<A HREF="http://www.jhauser.us/arithmetic/SoftFloat.html"><NOBR><CODE>http://www.jhauser.us/arithmetic/SoftFloat.html</CODE></NOBR></A>.
|
||
|
</P>
|
||
|
|
||
|
|
||
|
</BODY>
|
||
|
|