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1 This is libquadmath.info, produced by makeinfo version 6.8 from
2 libquadmath.texi.
3
4 Copyright (C) 2010-2024 Free Software Foundation, Inc.
5
6 Permission is granted to copy, distribute and/or modify this
7 document under the terms of the GNU Free Documentation License,
8 Version 1.2 or any later version published by the Free Software
9 Foundation; with no Invariant Sections, with the Front-Cover Texts
10 being "A GNU Manual," and with the Back-Cover Texts as in (a)
11 below. A copy of the license is included in the section entitled
12 "GNU Free Documentation License."
13
14 (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
15 modify this GNU manual.
16 INFO-DIR-SECTION GNU Libraries
17 START-INFO-DIR-ENTRY
18 * libquadmath: (libquadmath). GCC Quad-Precision Math Library
19 END-INFO-DIR-ENTRY
20
21 This manual documents the GCC Quad-Precision Math Library API.
22
23 Published by the Free Software Foundation 51 Franklin Street, Fifth
24 Floor Boston, MA 02110-1301 USA
25
26 Copyright (C) 2010-2024 Free Software Foundation, Inc.
27
28 Permission is granted to copy, distribute and/or modify this
29 document under the terms of the GNU Free Documentation License,
30 Version 1.2 or any later version published by the Free Software
31 Foundation; with no Invariant Sections, with the Front-Cover Texts
32 being "A GNU Manual," and with the Back-Cover Texts as in (a)
33 below. A copy of the license is included in the section entitled
34 "GNU Free Documentation License."
35
36 (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
37 modify this GNU manual.
38
39 
40 File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir)
41
42 Introduction
43 ************
44
45 This manual documents the usage of libquadmath, the GCC Quad-Precision
46 Math Library Application Programming Interface (API).
47
48 * Menu:
49
50 * Typedef and constants:: Defined data types and constants
51 * Math Library Routines:: The Libquadmath math runtime application
52 programming interface.
53 * I/O Library Routines:: The Libquadmath I/O runtime application
54 programming interface.
55 * GNU Free Documentation License::
56 How you can copy and share this manual.
57 * Reporting Bugs:: How to report bugs in GCC Libquadmath.
58
59 
60 File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top
61
62 1 Typedef and constants
63 ***********************
64
65 The following data type has been defined via 'typedef'.
66
67 '__complex128': '__float128'-based complex number
68
69 The following macros are defined, which give the numeric limits of
70 the '__float128' data type.
71
72 'FLT128_MAX': largest finite number
73 'FLT128_MIN': smallest positive number with full precision
74 'FLT128_EPSILON': difference between 1 and the next larger
75 representable number
76 'FLT128_DENORM_MIN': smallest positive denormalized number
77 'FLT128_MANT_DIG': number of digits in the mantissa (bit precision)
78 'FLT128_MIN_EXP': maximal negative exponent
79 'FLT128_MAX_EXP': maximal positive exponent
80 'FLT128_DIG': number of decimal digits in the mantissa
81 'FLT128_MIN_10_EXP': maximal negative decimal exponent
82 'FLT128_MAX_10_EXP': maximal positive decimal exponent
83
84 The following mathematical constants of type '__float128' are
85 defined.
86
87 'M_Eq': the constant e (Euler's number)
88 'M_LOG2Eq': binary logarithm of 2
89 'M_LOG10Eq': common, decimal logarithm of 2
90 'M_LN2q': natural logarithm of 2
91 'M_LN10q': natural logarithm of 10
92 'M_PIq': pi
93 'M_PI_2q': pi divided by two
94 'M_PI_4q': pi divided by four
95 'M_1_PIq': one over pi
96 'M_2_PIq': one over two pi
97 'M_2_SQRTPIq': two over square root of pi
98 'M_SQRT2q': square root of 2
99 'M_SQRT1_2q': one over square root of 2
100
101 
102 File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top
103
104 2 Math Library Routines
105 ***********************
106
107 The following mathematical functions are available:
108
109 'acosq': arc cosine function
110 'acoshq': inverse hyperbolic cosine function
111 'asinq': arc sine function
112 'asinhq': inverse hyperbolic sine function
113 'atanq': arc tangent function
114 'atanhq': inverse hyperbolic tangent function
115 'atan2q': arc tangent function
116 'cbrtq': cube root function
117 'ceilq': ceiling value function
118 'copysignq': copy sign of a number
119 'coshq': hyperbolic cosine function
120 'cosq': cosine function
121 'erfq': error function
122 'erfcq': complementary error function
123 'exp2q': base 2 exponential function
124 'expq': exponential function
125 'expm1q': exponential minus 1 function
126 'fabsq': absolute value function
127 'fdimq': positive difference function
128 'finiteq': check finiteness of value
129 'floorq': floor value function
130 'fmaq': fused multiply and add
131 'fmaxq': determine maximum of two values
132 'fminq': determine minimum of two values
133 'fmodq': remainder value function
134 'frexpq': extract mantissa and exponent
135 'hypotq': Eucledian distance function
136 'ilogbq': get exponent of the value
137 'isinfq': check for infinity
138 'isnanq': check for not a number
139 'issignalingq': check for signaling not a number
140 'j0q': Bessel function of the first kind, first order
141 'j1q': Bessel function of the first kind, second order
142 'jnq': Bessel function of the first kind, N-th order
143 'ldexpq': load exponent of the value
144 'lgammaq': logarithmic gamma function
145 'llrintq': round to nearest integer value
146 'llroundq': round to nearest integer value away from zero
147 'logbq': get exponent of the value
148 'logq': natural logarithm function
149 'log10q': base 10 logarithm function
150 'log1pq': compute natural logarithm of the value plus one
151 'log2q': base 2 logarithm function
152 'lrintq': round to nearest integer value
153 'lroundq': round to nearest integer value away from zero
154 'modfq': decompose the floating-point number
155 'nanq': return quiet NaN
156 'nearbyintq': round to nearest integer
157 'nextafterq': next representable floating-point number
158 'powq': power function
159 'remainderq': remainder function
160 'remquoq': remainder and part of quotient
161 'rintq': round-to-nearest integral value
162 'roundq': round-to-nearest integral value, return '__float128'
163 'scalblnq': compute exponent using 'FLT_RADIX'
164 'scalbnq': compute exponent using 'FLT_RADIX'
165 'signbitq': return sign bit
166 'sincosq': calculate sine and cosine simultaneously
167 'sinhq': hyperbolic sine function
168 'sinq': sine function
169 'sqrtq': square root function
170 'tanq': tangent function
171 'tanhq': hyperbolic tangent function
172 'tgammaq': true gamma function
173 'truncq': round to integer, towards zero
174 'y0q': Bessel function of the second kind, first order
175 'y1q': Bessel function of the second kind, second order
176 'ynq': Bessel function of the second kind, N-th order
177 'cabsq' complex absolute value function
178 'cargq': calculate the argument
179 'cimagq' imaginary part of complex number
180 'crealq': real part of complex number
181 'cacoshq': complex arc hyperbolic cosine function
182 'cacosq': complex arc cosine function
183 'casinhq': complex arc hyperbolic sine function
184 'casinq': complex arc sine function
185 'catanhq': complex arc hyperbolic tangent function
186 'catanq': complex arc tangent function
187 'ccosq' complex cosine function:
188 'ccoshq': complex hyperbolic cosine function
189 'cexpq': complex exponential function
190 'cexpiq': computes the exponential function of "i" times a
191 real value
192 'clogq': complex natural logarithm
193 'clog10q': complex base 10 logarithm
194 'conjq': complex conjugate function
195 'cpowq': complex power function
196 'cprojq': project into Riemann Sphere
197 'csinq': complex sine function
198 'csinhq': complex hyperbolic sine function
199 'csqrtq': complex square root
200 'ctanq': complex tangent function
201 'ctanhq': complex hyperbolic tangent function
202
203 
204 File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top
205
206 3 I/O Library Routines
207 **********************
208
209 * Menu:
210
211 * 'strtoflt128': strtoflt128, Convert from string
212 * 'quadmath_snprintf': quadmath_snprintf, Convert to string
213
214 
215 File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines
216
217 3.1 'strtoflt128' -- Convert from string
218 ========================================
219
220 The function 'strtoflt128' converts a string into a '__float128' number.
221
222 Syntax
223 '__float128 strtoflt128 (const char *s, char **sp)'
224
225 _Arguments_:
226 S input string
227 SP the address of the next character in the string
228
229 The argument SP contains, if not 'NULL', the address of the next
230 character following the parts of the string, which have been read.
231
232 Example
233 #include <quadmath.h>
234
235 int main ()
236 {
237 __float128 r;
238
239 r = strtoflt128 ("1.2345678", NULL);
240
241 return 0;
242 }
243
244 
245 File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines
246
247 3.2 'quadmath_snprintf' -- Convert to string
248 ============================================
249
250 The function 'quadmath_snprintf' converts a '__float128' floating-point
251 number into a string. It is a specialized alternative to 'snprintf',
252 where the format string is restricted to a single conversion specifier
253 with 'Q' modifier and conversion specifier 'e', 'E', 'f', 'F', 'g', 'G',
254 'a' or 'A', with no extra characters before or after the conversion
255 specifier. The '%m$' or '*m$' style must not be used in the format.
256
257 Syntax
258 'int quadmath_snprintf (char *s, size_t size, const char *format,
259 ...)'
260
261 _Arguments_:
262 S output string
263 SIZE byte size of the string, including trailing NUL
264 FORMAT conversion specifier string
265
266 Note
267 On some targets when supported by the C library hooks are installed
268 for 'printf' family of functions, so that 'printf ("%Qe", 1.2Q);'
269 etc. works too.
270
271 Example
272 #include <quadmath.h>
273 #include <stdlib.h>
274 #include <stdio.h>
275
276 int main ()
277 {
278 __float128 r;
279 int prec = 20;
280 int width = 46;
281 char buf[128];
282
283 r = 2.0q;
284 r = sqrtq (r);
285 int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r);
286 if ((size_t) n < sizeof buf)
287 printf ("%s\n", buf);
288 /* Prints: +1.41421356237309504880e+00 */
289 quadmath_snprintf (buf, sizeof buf, "%Qa", r);
290 if ((size_t) n < sizeof buf)
291 printf ("%s\n", buf);
292 /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */
293 n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r);
294 if (n > -1)
295 {
296 char *str = malloc (n + 1);
297 if (str)
298 {
299 quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r);
300 printf ("%s\n", str);
301 /* Prints: +1.41421356237309504880e+00 */
302 }
303 free (str);
304 }
305 return 0;
306 }
307
308 
309 File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top
310
311 GNU Free Documentation License
312 ******************************
313
314 Version 1.3, 3 November 2008
315
316 Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc.
317 <https://www.fsf.org>
318
319 Everyone is permitted to copy and distribute verbatim copies
320 of this license document, but changing it is not allowed.
321
322 0. PREAMBLE
323
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651
652 If the Cover Text requirement of section 3 is applicable to these
653 copies of the Document, then if the Document is less than one half
654 of the entire aggregate, the Document's Cover Texts may be placed
655 on covers that bracket the Document within the aggregate, or the
656 electronic equivalent of covers if the Document is in electronic
657 form. Otherwise they must appear on printed covers that bracket
658 the whole aggregate.
659
660 8. TRANSLATION
661
662 Translation is considered a kind of modification, so you may
663 distribute translations of the Document under the terms of section
664 4. Replacing Invariant Sections with translations requires special
665 permission from their copyright holders, but you may include
666 translations of some or all Invariant Sections in addition to the
667 original versions of these Invariant Sections. You may include a
668 translation of this License, and all the license notices in the
669 Document, and any Warranty Disclaimers, provided that you also
670 include the original English version of this License and the
671 original versions of those notices and disclaimers. In case of a
672 disagreement between the translation and the original version of
673 this License or a notice or disclaimer, the original version will
674 prevail.
675
676 If a section in the Document is Entitled "Acknowledgements",
677 "Dedications", or "History", the requirement (section 4) to
678 Preserve its Title (section 1) will typically require changing the
679 actual title.
680
681 9. TERMINATION
682
683 You may not copy, modify, sublicense, or distribute the Document
684 except as expressly provided under this License. Any attempt
685 otherwise to copy, modify, sublicense, or distribute it is void,
686 and will automatically terminate your rights under this License.
687
688 However, if you cease all violation of this License, then your
689 license from a particular copyright holder is reinstated (a)
690 provisionally, unless and until the copyright holder explicitly and
691 finally terminates your license, and (b) permanently, if the
692 copyright holder fails to notify you of the violation by some
693 reasonable means prior to 60 days after the cessation.
694
695 Moreover, your license from a particular copyright holder is
696 reinstated permanently if the copyright holder notifies you of the
697 violation by some reasonable means, this is the first time you have
698 received notice of violation of this License (for any work) from
699 that copyright holder, and you cure the violation prior to 30 days
700 after your receipt of the notice.
701
702 Termination of your rights under this section does not terminate
703 the licenses of parties who have received copies or rights from you
704 under this License. If your rights have been terminated and not
705 permanently reinstated, receipt of a copy of some or all of the
706 same material does not give you any rights to use it.
707
708 10. FUTURE REVISIONS OF THIS LICENSE
709
710 The Free Software Foundation may publish new, revised versions of
711 the GNU Free Documentation License from time to time. Such new
712 versions will be similar in spirit to the present version, but may
713 differ in detail to address new problems or concerns. See
714 <https://www.gnu.org/copyleft/>.
715
716 Each version of the License is given a distinguishing version
717 number. If the Document specifies that a particular numbered
718 version of this License "or any later version" applies to it, you
719 have the option of following the terms and conditions either of
720 that specified version or of any later version that has been
721 published (not as a draft) by the Free Software Foundation. If the
722 Document does not specify a version number of this License, you may
723 choose any version ever published (not as a draft) by the Free
724 Software Foundation. If the Document specifies that a proxy can
725 decide which future versions of this License can be used, that
726 proxy's public statement of acceptance of a version permanently
727 authorizes you to choose that version for the Document.
728
729 11. RELICENSING
730
731 "Massive Multiauthor Collaboration Site" (or "MMC Site") means any
732 World Wide Web server that publishes copyrightable works and also
733 provides prominent facilities for anybody to edit those works. A
734 public wiki that anybody can edit is an example of such a server.
735 A "Massive Multiauthor Collaboration" (or "MMC") contained in the
736 site means any set of copyrightable works thus published on the MMC
737 site.
738
739 "CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0
740 license published by Creative Commons Corporation, a not-for-profit
741 corporation with a principal place of business in San Francisco,
742 California, as well as future copyleft versions of that license
743 published by that same organization.
744
745 "Incorporate" means to publish or republish a Document, in whole or
746 in part, as part of another Document.
747
748 An MMC is "eligible for relicensing" if it is licensed under this
749 License, and if all works that were first published under this
750 License somewhere other than this MMC, and subsequently
751 incorporated in whole or in part into the MMC, (1) had no cover
752 texts or invariant sections, and (2) were thus incorporated prior
753 to November 1, 2008.
754
755 The operator of an MMC Site may republish an MMC contained in the
756 site under CC-BY-SA on the same site at any time before August 1,
757 2009, provided the MMC is eligible for relicensing.
758
759 ADDENDUM: How to use this License for your documents
760 ====================================================
761
762 To use this License in a document you have written, include a copy of
763 the License in the document and put the following copyright and license
764 notices just after the title page:
765
766 Copyright (C) YEAR YOUR NAME.
767 Permission is granted to copy, distribute and/or modify this document
768 under the terms of the GNU Free Documentation License, Version 1.3
769 or any later version published by the Free Software Foundation;
770 with no Invariant Sections, no Front-Cover Texts, and no Back-Cover
771 Texts. A copy of the license is included in the section entitled ``GNU
772 Free Documentation License''.
773
774 If you have Invariant Sections, Front-Cover Texts and Back-Cover
775 Texts, replace the "with...Texts." line with this:
776
777 with the Invariant Sections being LIST THEIR TITLES, with
778 the Front-Cover Texts being LIST, and with the Back-Cover Texts
779 being LIST.
780
781 If you have Invariant Sections without Cover Texts, or some other
782 combination of the three, merge those two alternatives to suit the
783 situation.
784
785 If your document contains nontrivial examples of program code, we
786 recommend releasing these examples in parallel under your choice of free
787 software license, such as the GNU General Public License, to permit
788 their use in free software.
789
790 
791 File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top
792
793 4 Reporting Bugs
794 ****************
795
796 Bugs in the GCC Quad-Precision Math Library implementation should be
797 reported via <https://gcc.gnu.org/bugs/>.
798
799
800 
801 Tag Table:
802 Node: Top1633
803 Node: Typedef and constants2367
804 Node: Math Library Routines3786
805 Node: I/O Library Routines7623
806 Node: strtoflt1287948
807 Node: quadmath_snprintf8708
808 Node: GNU Free Documentation License10919
809 Node: Reporting Bugs36071
810 
811 End Tag Table
812
813 
814 Local Variables:
815 coding: utf-8
816 End: