mirror of
https://github.com/autc04/Retro68.git
synced 2024-09-08 20:55:01 +00:00
810 lines
36 KiB
Plaintext
810 lines
36 KiB
Plaintext
This is libquadmath.info, produced by makeinfo version 6.1 from
|
||
libquadmath.texi.
|
||
|
||
Copyright (C) 2010-2016 Free Software Foundation, Inc.
|
||
|
||
Permission is granted to copy, distribute and/or modify this
|
||
document under the terms of the GNU Free Documentation License,
|
||
Version 1.2 or any later version published by the Free Software
|
||
Foundation; with no Invariant Sections, with the Front-Cover Texts
|
||
being "A GNU Manual," and with the Back-Cover Texts as in (a)
|
||
below. A copy of the license is included in the section entitled
|
||
"GNU Free Documentation License."
|
||
|
||
(a) The FSF's Back-Cover Text is: "You have the freedom to copy and
|
||
modify this GNU manual.
|
||
INFO-DIR-SECTION GNU Libraries
|
||
START-INFO-DIR-ENTRY
|
||
* libquadmath: (libquadmath). GCC Quad-Precision Math Library
|
||
END-INFO-DIR-ENTRY
|
||
|
||
This manual documents the GCC Quad-Precision Math Library API.
|
||
|
||
Published by the Free Software Foundation 51 Franklin Street, Fifth
|
||
Floor Boston, MA 02110-1301 USA
|
||
|
||
Copyright (C) 2010-2016 Free Software Foundation, Inc.
|
||
|
||
Permission is granted to copy, distribute and/or modify this
|
||
document under the terms of the GNU Free Documentation License,
|
||
Version 1.2 or any later version published by the Free Software
|
||
Foundation; with no Invariant Sections, with the Front-Cover Texts
|
||
being "A GNU Manual," and with the Back-Cover Texts as in (a)
|
||
below. A copy of the license is included in the section entitled
|
||
"GNU Free Documentation License."
|
||
|
||
(a) The FSF's Back-Cover Text is: "You have the freedom to copy and
|
||
modify this GNU manual.
|
||
|
||
|
||
File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir)
|
||
|
||
Introduction
|
||
************
|
||
|
||
This manual documents the usage of libquadmath, the GCC Quad-Precision
|
||
Math Library Application Programming Interface (API).
|
||
|
||
* Menu:
|
||
|
||
* Typedef and constants:: Defined data types and constants
|
||
* Math Library Routines:: The Libquadmath math runtime application
|
||
programming interface.
|
||
* I/O Library Routines:: The Libquadmath I/O runtime application
|
||
programming interface.
|
||
* GNU Free Documentation License::
|
||
How you can copy and share this manual.
|
||
* Reporting Bugs:: How to report bugs in GCC Libquadmath.
|
||
|
||
|
||
File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top
|
||
|
||
1 Typedef and constants
|
||
***********************
|
||
|
||
The following data type has been defined via 'typedef'.
|
||
|
||
'__complex128': '__float128'-based complex number
|
||
|
||
The following macros are defined, which give the numeric limits of
|
||
the '__float128' data type.
|
||
|
||
'FLT128_MAX': largest finite number
|
||
'FLT128_MIN': smallest positive number with full precision
|
||
'FLT128_EPSILON': difference between 1 and the next larger
|
||
representable number
|
||
'FLT128_DENORM_MIN': smallest positive denormalized number
|
||
'FLT128_MANT_DIG': number of digits in the mantissa (bit precision)
|
||
'FLT128_MIN_EXP': maximal negative exponent
|
||
'FLT128_MAX_EXP': maximal positive exponent
|
||
'FLT128_DIG': number of decimal digits in the mantissa
|
||
'FLT128_MIN_10_EXP': maximal negative decimal exponent
|
||
'FLT128_MAX_10_EXP': maximal positive decimal exponent
|
||
|
||
The following mathematical constants of type '__float128' are
|
||
defined.
|
||
|
||
'M_Eq': the constant e (Euler's number)
|
||
'M_LOG2Eq': binary logarithm of 2
|
||
'M_LOG10Eq': common, decimal logarithm of 2
|
||
'M_LN2q': natural logarithm of 2
|
||
'M_LN10q': natural logarithm of 10
|
||
'M_PIq': pi
|
||
'M_PI_2q': pi divided by two
|
||
'M_PI_4q': pi divided by four
|
||
'M_1_PIq': one over pi
|
||
'M_2_PIq': one over two pi
|
||
'M_2_SQRTPIq': two over square root of pi
|
||
'M_SQRT2q': square root of 2
|
||
'M_SQRT1_2q': one over square root of 2
|
||
|
||
|
||
File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top
|
||
|
||
2 Math Library Routines
|
||
***********************
|
||
|
||
The following mathematical functions are available:
|
||
|
||
'acosq': arc cosine function
|
||
'acoshq': inverse hyperbolic cosine function
|
||
'asinq': arc sine function
|
||
'asinhq': inverse hyperbolic sine function
|
||
'atanq': arc tangent function
|
||
'atanhq': inverse hyperbolic tangent function
|
||
'atan2q': arc tangent function
|
||
'cbrtq': cube root function
|
||
'ceilq': ceiling value function
|
||
'copysignq': copy sign of a number
|
||
'coshq': hyperbolic cosine function
|
||
'cosq': cosine function
|
||
'erfq': error function
|
||
'erfcq': complementary error function
|
||
'expq': exponential function
|
||
'expm1q': exponential minus 1 function
|
||
'fabsq': absolute value function
|
||
'fdimq': positive difference function
|
||
'finiteq': check finiteness of value
|
||
'floorq': floor value function
|
||
'fmaq': fused multiply and add
|
||
'fmaxq': determine maximum of two values
|
||
'fminq': determine minimum of two values
|
||
'fmodq': remainder value function
|
||
'frexpq': extract mantissa and exponent
|
||
'hypotq': Eucledian distance function
|
||
'ilogbq': get exponent of the value
|
||
'isinfq': check for infinity
|
||
'isnanq': check for not a number
|
||
'j0q': Bessel function of the first kind, first order
|
||
'j1q': Bessel function of the first kind, second order
|
||
'jnq': Bessel function of the first kind, N-th order
|
||
'ldexpq': load exponent of the value
|
||
'lgammaq': logarithmic gamma function
|
||
'llrintq': round to nearest integer value
|
||
'llroundq': round to nearest integer value away from zero
|
||
'logbq': get exponent of the value
|
||
'logq': natural logarithm function
|
||
'log10q': base 10 logarithm function
|
||
'log1pq': compute natural logarithm of the value plus one
|
||
'log2q': base 2 logarithm function
|
||
'lrintq': round to nearest integer value
|
||
'lroundq': round to nearest integer value away from zero
|
||
'modfq': decompose the floating-point number
|
||
'nanq': return quiet NaN
|
||
'nearbyintq': round to nearest integer
|
||
'nextafterq': next representable floating-point number
|
||
'powq': power function
|
||
'remainderq': remainder function
|
||
'remquoq': remainder and part of quotient
|
||
'rintq': round-to-nearest integral value
|
||
'roundq': round-to-nearest integral value, return '__float128'
|
||
'scalblnq': compute exponent using 'FLT_RADIX'
|
||
'scalbnq': compute exponent using 'FLT_RADIX'
|
||
'signbitq': return sign bit
|
||
'sincosq': calculate sine and cosine simultaneously
|
||
'sinhq': hyperbolic sine function
|
||
'sinq': sine function
|
||
'sqrtq': square root function
|
||
'tanq': tangent function
|
||
'tanhq': hyperbolic tangent function
|
||
'tgammaq': true gamma function
|
||
'truncq': round to integer, towards zero
|
||
'y0q': Bessel function of the second kind, first order
|
||
'y1q': Bessel function of the second kind, second order
|
||
'ynq': Bessel function of the second kind, N-th order
|
||
'cabsq' complex absolute value function
|
||
'cargq': calculate the argument
|
||
'cimagq' imaginary part of complex number
|
||
'crealq': real part of complex number
|
||
'cacoshq': complex arc hyperbolic cosine function
|
||
'cacosq': complex arc cosine function
|
||
'casinhq': complex arc hyperbolic sine function
|
||
'casinq': complex arc sine function
|
||
'catanhq': complex arc hyperbolic tangent function
|
||
'catanq': complex arc tangent function
|
||
'ccosq' complex cosine function:
|
||
'ccoshq': complex hyperbolic cosine function
|
||
'cexpq': complex exponential function
|
||
'cexpiq': computes the exponential function of "i" times a
|
||
real value
|
||
'clogq': complex natural logarithm
|
||
'clog10q': complex base 10 logarithm
|
||
'conjq': complex conjugate function
|
||
'cpowq': complex power function
|
||
'cprojq': project into Riemann Sphere
|
||
'csinq': complex sine function
|
||
'csinhq': complex hyperbolic sine function
|
||
'csqrtq': complex square root
|
||
'ctanq': complex tangent function
|
||
'ctanhq': complex hyperbolic tangent function
|
||
|
||
|
||
File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top
|
||
|
||
3 I/O Library Routines
|
||
**********************
|
||
|
||
* Menu:
|
||
|
||
* 'strtoflt128': strtoflt128, Convert from string
|
||
* 'quadmath_snprintf': quadmath_snprintf, Convert to string
|
||
|
||
|
||
File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines
|
||
|
||
3.1 'strtoflt128' -- Convert from string
|
||
========================================
|
||
|
||
The function 'strtoflt128' converts a string into a '__float128' number.
|
||
|
||
Syntax
|
||
'__float128 strtoflt128 (const char *s, char **sp)'
|
||
|
||
_Arguments_:
|
||
S input string
|
||
SP the address of the next character in the string
|
||
|
||
The argument SP contains, if not 'NULL', the address of the next
|
||
character following the parts of the string, which have been read.
|
||
|
||
Example
|
||
#include <quadmath.h>
|
||
|
||
int main ()
|
||
{
|
||
__float128 r;
|
||
|
||
r = strtoflt128 ("1.2345678", NULL);
|
||
|
||
return 0;
|
||
}
|
||
|
||
|
||
File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines
|
||
|
||
3.2 'quadmath_snprintf' -- Convert to string
|
||
============================================
|
||
|
||
The function 'quadmath_snprintf' converts a '__float128' floating-point
|
||
number into a string. It is a specialized alternative to 'snprintf',
|
||
where the format string is restricted to a single conversion specifier
|
||
with 'Q' modifier and conversion specifier 'e', 'E', 'f', 'F', 'g', 'G',
|
||
'a' or 'A', with no extra characters before or after the conversion
|
||
specifier. The '%m$' or '*m$' style must not be used in the format.
|
||
|
||
Syntax
|
||
'int quadmath_snprintf (char *s, size_t size, const char *format,
|
||
...)'
|
||
|
||
_Arguments_:
|
||
S output string
|
||
SIZE byte size of the string, including tailing NUL
|
||
FORMAT conversion specifier string
|
||
|
||
Note
|
||
On some targets when supported by the C library hooks are installed
|
||
for 'printf' family of functions, so that 'printf ("%Qe", 1.2Q);'
|
||
etc. works too.
|
||
|
||
Example
|
||
#include <quadmath.h>
|
||
#include <stdlib.h>
|
||
#include <stdio.h>
|
||
|
||
int main ()
|
||
{
|
||
__float128 r;
|
||
int prec = 20;
|
||
int width = 46;
|
||
char buf[128];
|
||
|
||
r = 2.0q;
|
||
r = sqrtq (r);
|
||
int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r);
|
||
if ((size_t) n < sizeof buf)
|
||
printf ("%s\n", buf);
|
||
/* Prints: +1.41421356237309504880e+00 */
|
||
quadmath_snprintf (buf, sizeof buf, "%Qa", r);
|
||
if ((size_t) n < sizeof buf)
|
||
printf ("%s\n", buf);
|
||
/* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */
|
||
n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r);
|
||
if (n > -1)
|
||
{
|
||
char *str = malloc (n + 1);
|
||
if (str)
|
||
{
|
||
quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r);
|
||
printf ("%s\n", str);
|
||
/* Prints: +1.41421356237309504880e+00 */
|
||
}
|
||
free (str);
|
||
}
|
||
return 0;
|
||
}
|
||
|
||
|
||
File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top
|
||
|
||
GNU Free Documentation License
|
||
******************************
|
||
|
||
Version 1.3, 3 November 2008
|
||
|
||
Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc.
|
||
<http://fsf.org/>
|
||
|
||
Everyone is permitted to copy and distribute verbatim copies
|
||
of this license document, but changing it is not allowed.
|
||
|
||
0. PREAMBLE
|
||
|
||
The purpose of this License is to make a manual, textbook, or other
|
||
functional and useful document "free" in the sense of freedom: to
|
||
assure everyone the effective freedom to copy and redistribute it,
|
||
with or without modifying it, either commercially or
|
||
noncommercially. Secondarily, this License preserves for the
|
||
author and publisher a way to get credit for their work, while not
|
||
being considered responsible for modifications made by others.
|
||
|
||
This License is a kind of "copyleft", which means that derivative
|
||
works of the document must themselves be free in the same sense.
|
||
It complements the GNU General Public License, which is a copyleft
|
||
license designed for free software.
|
||
|
||
We have designed this License in order to use it for manuals for
|
||
free software, because free software needs free documentation: a
|
||
free program should come with manuals providing the same freedoms
|
||
that the software does. But this License is not limited to
|
||
software manuals; it can be used for any textual work, regardless
|
||
of subject matter or whether it is published as a printed book. We
|
||
recommend this License principally for works whose purpose is
|
||
instruction or reference.
|
||
|
||
1. APPLICABILITY AND DEFINITIONS
|
||
|
||
This License applies to any manual or other work, in any medium,
|
||
that contains a notice placed by the copyright holder saying it can
|
||
be distributed under the terms of this License. Such a notice
|
||
grants a world-wide, royalty-free license, unlimited in duration,
|
||
to use that work under the conditions stated herein. The
|
||
"Document", below, refers to any such manual or work. Any member
|
||
of the public is a licensee, and is addressed as "you". You accept
|
||
the license if you copy, modify or distribute the work in a way
|
||
requiring permission under copyright law.
|
||
|
||
A "Modified Version" of the Document means any work containing the
|
||
Document or a portion of it, either copied verbatim, or with
|
||
modifications and/or translated into another language.
|
||
|
||
A "Secondary Section" is a named appendix or a front-matter section
|
||
of the Document that deals exclusively with the relationship of the
|
||
publishers or authors of the Document to the Document's overall
|
||
subject (or to related matters) and contains nothing that could
|
||
fall directly within that overall subject. (Thus, if the Document
|
||
is in part a textbook of mathematics, a Secondary Section may not
|
||
explain any mathematics.) The relationship could be a matter of
|
||
historical connection with the subject or with related matters, or
|
||
of legal, commercial, philosophical, ethical or political position
|
||
regarding them.
|
||
|
||
The "Invariant Sections" are certain Secondary Sections whose
|
||
titles are designated, as being those of Invariant Sections, in the
|
||
notice that says that the Document is released under this License.
|
||
If a section does not fit the above definition of Secondary then it
|
||
is not allowed to be designated as Invariant. The Document may
|
||
contain zero Invariant Sections. If the Document does not identify
|
||
any Invariant Sections then there are none.
|
||
|
||
The "Cover Texts" are certain short passages of text that are
|
||
listed, as Front-Cover Texts or Back-Cover Texts, in the notice
|
||
that says that the Document is released under this License. A
|
||
Front-Cover Text may be at most 5 words, and a Back-Cover Text may
|
||
be at most 25 words.
|
||
|
||
A "Transparent" copy of the Document means a machine-readable copy,
|
||
represented in a format whose specification is available to the
|
||
general public, that is suitable for revising the document
|
||
straightforwardly with generic text editors or (for images composed
|
||
of pixels) generic paint programs or (for drawings) some widely
|
||
available drawing editor, and that is suitable for input to text
|
||
formatters or for automatic translation to a variety of formats
|
||
suitable for input to text formatters. A copy made in an otherwise
|
||
Transparent file format whose markup, or absence of markup, has
|
||
been arranged to thwart or discourage subsequent modification by
|
||
readers is not Transparent. An image format is not Transparent if
|
||
used for any substantial amount of text. A copy that is not
|
||
"Transparent" is called "Opaque".
|
||
|
||
Examples of suitable formats for Transparent copies include plain
|
||
ASCII without markup, Texinfo input format, LaTeX input format,
|
||
SGML or XML using a publicly available DTD, and standard-conforming
|
||
simple HTML, PostScript or PDF designed for human modification.
|
||
Examples of transparent image formats include PNG, XCF and JPG.
|
||
Opaque formats include proprietary formats that can be read and
|
||
edited only by proprietary word processors, SGML or XML for which
|
||
the DTD and/or processing tools are not generally available, and
|
||
the machine-generated HTML, PostScript or PDF produced by some word
|
||
processors for output purposes only.
|
||
|
||
The "Title Page" means, for a printed book, the title page itself,
|
||
plus such following pages as are needed to hold, legibly, the
|
||
material this License requires to appear in the title page. For
|
||
works in formats which do not have any title page as such, "Title
|
||
Page" means the text near the most prominent appearance of the
|
||
work's title, preceding the beginning of the body of the text.
|
||
|
||
The "publisher" means any person or entity that distributes copies
|
||
of the Document to the public.
|
||
|
||
A section "Entitled XYZ" means a named subunit of the Document
|
||
whose title either is precisely XYZ or contains XYZ in parentheses
|
||
following text that translates XYZ in another language. (Here XYZ
|
||
stands for a specific section name mentioned below, such as
|
||
"Acknowledgements", "Dedications", "Endorsements", or "History".)
|
||
To "Preserve the Title" of such a section when you modify the
|
||
Document means that it remains a section "Entitled XYZ" according
|
||
to this definition.
|
||
|
||
The Document may include Warranty Disclaimers next to the notice
|
||
which states that this License applies to the Document. These
|
||
Warranty Disclaimers are considered to be included by reference in
|
||
this License, but only as regards disclaiming warranties: any other
|
||
implication that these Warranty Disclaimers may have is void and
|
||
has no effect on the meaning of this License.
|
||
|
||
2. VERBATIM COPYING
|
||
|
||
You may copy and distribute the Document in any medium, either
|
||
commercially or noncommercially, provided that this License, the
|
||
copyright notices, and the license notice saying this License
|
||
applies to the Document are reproduced in all copies, and that you
|
||
add no other conditions whatsoever to those of this License. You
|
||
may not use technical measures to obstruct or control the reading
|
||
or further copying of the copies you make or distribute. However,
|
||
you may accept compensation in exchange for copies. If you
|
||
distribute a large enough number of copies you must also follow the
|
||
conditions in section 3.
|
||
|
||
You may also lend copies, under the same conditions stated above,
|
||
and you may publicly display copies.
|
||
|
||
3. COPYING IN QUANTITY
|
||
|
||
If you publish printed copies (or copies in media that commonly
|
||
have printed covers) of the Document, numbering more than 100, and
|
||
the Document's license notice requires Cover Texts, you must
|
||
enclose the copies in covers that carry, clearly and legibly, all
|
||
these Cover Texts: Front-Cover Texts on the front cover, and
|
||
Back-Cover Texts on the back cover. Both covers must also clearly
|
||
and legibly identify you as the publisher of these copies. The
|
||
front cover must present the full title with all words of the title
|
||
equally prominent and visible. You may add other material on the
|
||
covers in addition. Copying with changes limited to the covers, as
|
||
long as they preserve the title of the Document and satisfy these
|
||
conditions, can be treated as verbatim copying in other respects.
|
||
|
||
If the required texts for either cover are too voluminous to fit
|
||
legibly, you should put the first ones listed (as many as fit
|
||
reasonably) on the actual cover, and continue the rest onto
|
||
adjacent pages.
|
||
|
||
If you publish or distribute Opaque copies of the Document
|
||
numbering more than 100, you must either include a machine-readable
|
||
Transparent copy along with each Opaque copy, or state in or with
|
||
each Opaque copy a computer-network location from which the general
|
||
network-using public has access to download using public-standard
|
||
network protocols a complete Transparent copy of the Document, free
|
||
of added material. If you use the latter option, you must take
|
||
reasonably prudent steps, when you begin distribution of Opaque
|
||
copies in quantity, to ensure that this Transparent copy will
|
||
remain thus accessible at the stated location until at least one
|
||
year after the last time you distribute an Opaque copy (directly or
|
||
through your agents or retailers) of that edition to the public.
|
||
|
||
It is requested, but not required, that you contact the authors of
|
||
the Document well before redistributing any large number of copies,
|
||
to give them a chance to provide you with an updated version of the
|
||
Document.
|
||
|
||
4. MODIFICATIONS
|
||
|
||
You may copy and distribute a Modified Version of the Document
|
||
under the conditions of sections 2 and 3 above, provided that you
|
||
release the Modified Version under precisely this License, with the
|
||
Modified Version filling the role of the Document, thus licensing
|
||
distribution and modification of the Modified Version to whoever
|
||
possesses a copy of it. In addition, you must do these things in
|
||
the Modified Version:
|
||
|
||
A. Use in the Title Page (and on the covers, if any) a title
|
||
distinct from that of the Document, and from those of previous
|
||
versions (which should, if there were any, be listed in the
|
||
History section of the Document). You may use the same title
|
||
as a previous version if the original publisher of that
|
||
version gives permission.
|
||
|
||
B. List on the Title Page, as authors, one or more persons or
|
||
entities responsible for authorship of the modifications in
|
||
the Modified Version, together with at least five of the
|
||
principal authors of the Document (all of its principal
|
||
authors, if it has fewer than five), unless they release you
|
||
from this requirement.
|
||
|
||
C. State on the Title page the name of the publisher of the
|
||
Modified Version, as the publisher.
|
||
|
||
D. Preserve all the copyright notices of the Document.
|
||
|
||
E. Add an appropriate copyright notice for your modifications
|
||
adjacent to the other copyright notices.
|
||
|
||
F. Include, immediately after the copyright notices, a license
|
||
notice giving the public permission to use the Modified
|
||
Version under the terms of this License, in the form shown in
|
||
the Addendum below.
|
||
|
||
G. Preserve in that license notice the full lists of Invariant
|
||
Sections and required Cover Texts given in the Document's
|
||
license notice.
|
||
|
||
H. Include an unaltered copy of this License.
|
||
|
||
I. Preserve the section Entitled "History", Preserve its Title,
|
||
and add to it an item stating at least the title, year, new
|
||
authors, and publisher of the Modified Version as given on the
|
||
Title Page. If there is no section Entitled "History" in the
|
||
Document, create one stating the title, year, authors, and
|
||
publisher of the Document as given on its Title Page, then add
|
||
an item describing the Modified Version as stated in the
|
||
previous sentence.
|
||
|
||
J. Preserve the network location, if any, given in the Document
|
||
for public access to a Transparent copy of the Document, and
|
||
likewise the network locations given in the Document for
|
||
previous versions it was based on. These may be placed in the
|
||
"History" section. You may omit a network location for a work
|
||
that was published at least four years before the Document
|
||
itself, or if the original publisher of the version it refers
|
||
to gives permission.
|
||
|
||
K. For any section Entitled "Acknowledgements" or "Dedications",
|
||
Preserve the Title of the section, and preserve in the section
|
||
all the substance and tone of each of the contributor
|
||
acknowledgements and/or dedications given therein.
|
||
|
||
L. Preserve all the Invariant Sections of the Document, unaltered
|
||
in their text and in their titles. Section numbers or the
|
||
equivalent are not considered part of the section titles.
|
||
|
||
M. Delete any section Entitled "Endorsements". Such a section
|
||
may not be included in the Modified Version.
|
||
|
||
N. Do not retitle any existing section to be Entitled
|
||
"Endorsements" or to conflict in title with any Invariant
|
||
Section.
|
||
|
||
O. Preserve any Warranty Disclaimers.
|
||
|
||
If the Modified Version includes new front-matter sections or
|
||
appendices that qualify as Secondary Sections and contain no
|
||
material copied from the Document, you may at your option designate
|
||
some or all of these sections as invariant. To do this, add their
|
||
titles to the list of Invariant Sections in the Modified Version's
|
||
license notice. These titles must be distinct from any other
|
||
section titles.
|
||
|
||
You may add a section Entitled "Endorsements", provided it contains
|
||
nothing but endorsements of your Modified Version by various
|
||
parties--for example, statements of peer review or that the text
|
||
has been approved by an organization as the authoritative
|
||
definition of a standard.
|
||
|
||
You may add a passage of up to five words as a Front-Cover Text,
|
||
and a passage of up to 25 words as a Back-Cover Text, to the end of
|
||
the list of Cover Texts in the Modified Version. Only one passage
|
||
of Front-Cover Text and one of Back-Cover Text may be added by (or
|
||
through arrangements made by) any one entity. If the Document
|
||
already includes a cover text for the same cover, previously added
|
||
by you or by arrangement made by the same entity you are acting on
|
||
behalf of, you may not add another; but you may replace the old
|
||
one, on explicit permission from the previous publisher that added
|
||
the old one.
|
||
|
||
The author(s) and publisher(s) of the Document do not by this
|
||
License give permission to use their names for publicity for or to
|
||
assert or imply endorsement of any Modified Version.
|
||
|
||
5. COMBINING DOCUMENTS
|
||
|
||
You may combine the Document with other documents released under
|
||
this License, under the terms defined in section 4 above for
|
||
modified versions, provided that you include in the combination all
|
||
of the Invariant Sections of all of the original documents,
|
||
unmodified, and list them all as Invariant Sections of your
|
||
combined work in its license notice, and that you preserve all
|
||
their Warranty Disclaimers.
|
||
|
||
The combined work need only contain one copy of this License, and
|
||
multiple identical Invariant Sections may be replaced with a single
|
||
copy. If there are multiple Invariant Sections with the same name
|
||
but different contents, make the title of each such section unique
|
||
by adding at the end of it, in parentheses, the name of the
|
||
original author or publisher of that section if known, or else a
|
||
unique number. Make the same adjustment to the section titles in
|
||
the list of Invariant Sections in the license notice of the
|
||
combined work.
|
||
|
||
In the combination, you must combine any sections Entitled
|
||
"History" in the various original documents, forming one section
|
||
Entitled "History"; likewise combine any sections Entitled
|
||
"Acknowledgements", and any sections Entitled "Dedications". You
|
||
must delete all sections Entitled "Endorsements."
|
||
|
||
6. COLLECTIONS OF DOCUMENTS
|
||
|
||
You may make a collection consisting of the Document and other
|
||
documents released under this License, and replace the individual
|
||
copies of this License in the various documents with a single copy
|
||
that is included in the collection, provided that you follow the
|
||
rules of this License for verbatim copying of each of the documents
|
||
in all other respects.
|
||
|
||
You may extract a single document from such a collection, and
|
||
distribute it individually under this License, provided you insert
|
||
a copy of this License into the extracted document, and follow this
|
||
License in all other respects regarding verbatim copying of that
|
||
document.
|
||
|
||
7. AGGREGATION WITH INDEPENDENT WORKS
|
||
|
||
A compilation of the Document or its derivatives with other
|
||
separate and independent documents or works, in or on a volume of a
|
||
storage or distribution medium, is called an "aggregate" if the
|
||
copyright resulting from the compilation is not used to limit the
|
||
legal rights of the compilation's users beyond what the individual
|
||
works permit. When the Document is included in an aggregate, this
|
||
License does not apply to the other works in the aggregate which
|
||
are not themselves derivative works of the Document.
|
||
|
||
If the Cover Text requirement of section 3 is applicable to these
|
||
copies of the Document, then if the Document is less than one half
|
||
of the entire aggregate, the Document's Cover Texts may be placed
|
||
on covers that bracket the Document within the aggregate, or the
|
||
electronic equivalent of covers if the Document is in electronic
|
||
form. Otherwise they must appear on printed covers that bracket
|
||
the whole aggregate.
|
||
|
||
8. TRANSLATION
|
||
|
||
Translation is considered a kind of modification, so you may
|
||
distribute translations of the Document under the terms of section
|
||
4. Replacing Invariant Sections with translations requires special
|
||
permission from their copyright holders, but you may include
|
||
translations of some or all Invariant Sections in addition to the
|
||
original versions of these Invariant Sections. You may include a
|
||
translation of this License, and all the license notices in the
|
||
Document, and any Warranty Disclaimers, provided that you also
|
||
include the original English version of this License and the
|
||
original versions of those notices and disclaimers. In case of a
|
||
disagreement between the translation and the original version of
|
||
this License or a notice or disclaimer, the original version will
|
||
prevail.
|
||
|
||
If a section in the Document is Entitled "Acknowledgements",
|
||
"Dedications", or "History", the requirement (section 4) to
|
||
Preserve its Title (section 1) will typically require changing the
|
||
actual title.
|
||
|
||
9. TERMINATION
|
||
|
||
You may not copy, modify, sublicense, or distribute the Document
|
||
except as expressly provided under this License. Any attempt
|
||
otherwise to copy, modify, sublicense, or distribute it is void,
|
||
and will automatically terminate your rights under this License.
|
||
|
||
However, if you cease all violation of this License, then your
|
||
license from a particular copyright holder is reinstated (a)
|
||
provisionally, unless and until the copyright holder explicitly and
|
||
finally terminates your license, and (b) permanently, if the
|
||
copyright holder fails to notify you of the violation by some
|
||
reasonable means prior to 60 days after the cessation.
|
||
|
||
Moreover, your license from a particular copyright holder is
|
||
reinstated permanently if the copyright holder notifies you of the
|
||
violation by some reasonable means, this is the first time you have
|
||
received notice of violation of this License (for any work) from
|
||
that copyright holder, and you cure the violation prior to 30 days
|
||
after your receipt of the notice.
|
||
|
||
Termination of your rights under this section does not terminate
|
||
the licenses of parties who have received copies or rights from you
|
||
under this License. If your rights have been terminated and not
|
||
permanently reinstated, receipt of a copy of some or all of the
|
||
same material does not give you any rights to use it.
|
||
|
||
10. FUTURE REVISIONS OF THIS LICENSE
|
||
|
||
The Free Software Foundation may publish new, revised versions of
|
||
the GNU Free Documentation License from time to time. Such new
|
||
versions will be similar in spirit to the present version, but may
|
||
differ in detail to address new problems or concerns. See
|
||
<http://www.gnu.org/copyleft/>.
|
||
|
||
Each version of the License is given a distinguishing version
|
||
number. If the Document specifies that a particular numbered
|
||
version of this License "or any later version" applies to it, you
|
||
have the option of following the terms and conditions either of
|
||
that specified version or of any later version that has been
|
||
published (not as a draft) by the Free Software Foundation. If the
|
||
Document does not specify a version number of this License, you may
|
||
choose any version ever published (not as a draft) by the Free
|
||
Software Foundation. If the Document specifies that a proxy can
|
||
decide which future versions of this License can be used, that
|
||
proxy's public statement of acceptance of a version permanently
|
||
authorizes you to choose that version for the Document.
|
||
|
||
11. RELICENSING
|
||
|
||
"Massive Multiauthor Collaboration Site" (or "MMC Site") means any
|
||
World Wide Web server that publishes copyrightable works and also
|
||
provides prominent facilities for anybody to edit those works. A
|
||
public wiki that anybody can edit is an example of such a server.
|
||
A "Massive Multiauthor Collaboration" (or "MMC") contained in the
|
||
site means any set of copyrightable works thus published on the MMC
|
||
site.
|
||
|
||
"CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0
|
||
license published by Creative Commons Corporation, a not-for-profit
|
||
corporation with a principal place of business in San Francisco,
|
||
California, as well as future copyleft versions of that license
|
||
published by that same organization.
|
||
|
||
"Incorporate" means to publish or republish a Document, in whole or
|
||
in part, as part of another Document.
|
||
|
||
An MMC is "eligible for relicensing" if it is licensed under this
|
||
License, and if all works that were first published under this
|
||
License somewhere other than this MMC, and subsequently
|
||
incorporated in whole or in part into the MMC, (1) had no cover
|
||
texts or invariant sections, and (2) were thus incorporated prior
|
||
to November 1, 2008.
|
||
|
||
The operator of an MMC Site may republish an MMC contained in the
|
||
site under CC-BY-SA on the same site at any time before August 1,
|
||
2009, provided the MMC is eligible for relicensing.
|
||
|
||
ADDENDUM: How to use this License for your documents
|
||
====================================================
|
||
|
||
To use this License in a document you have written, include a copy of
|
||
the License in the document and put the following copyright and license
|
||
notices just after the title page:
|
||
|
||
Copyright (C) YEAR YOUR NAME.
|
||
Permission is granted to copy, distribute and/or modify this document
|
||
under the terms of the GNU Free Documentation License, Version 1.3
|
||
or any later version published by the Free Software Foundation;
|
||
with no Invariant Sections, no Front-Cover Texts, and no Back-Cover
|
||
Texts. A copy of the license is included in the section entitled ``GNU
|
||
Free Documentation License''.
|
||
|
||
If you have Invariant Sections, Front-Cover Texts and Back-Cover
|
||
Texts, replace the "with...Texts." line with this:
|
||
|
||
with the Invariant Sections being LIST THEIR TITLES, with
|
||
the Front-Cover Texts being LIST, and with the Back-Cover Texts
|
||
being LIST.
|
||
|
||
If you have Invariant Sections without Cover Texts, or some other
|
||
combination of the three, merge those two alternatives to suit the
|
||
situation.
|
||
|
||
If your document contains nontrivial examples of program code, we
|
||
recommend releasing these examples in parallel under your choice of free
|
||
software license, such as the GNU General Public License, to permit
|
||
their use in free software.
|
||
|
||
|
||
File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top
|
||
|
||
4 Reporting Bugs
|
||
****************
|
||
|
||
Bugs in the GCC Quad-Precision Math Library implementation should be
|
||
reported via <http://gcc.gnu.org/bugs.html>.
|
||
|
||
|
||
|
||
Tag Table:
|
||
Node: Top1633
|
||
Node: Typedef and constants2367
|
||
Node: Math Library Routines3786
|
||
Node: I/O Library Routines7537
|
||
Node: strtoflt1287862
|
||
Node: quadmath_snprintf8622
|
||
Node: GNU Free Documentation License10832
|
||
Node: Reporting Bugs35979
|
||
|
||
End Tag Table
|