| This is libquadmath.info, produced by makeinfo version 6.5 from |
| libquadmath.texi. |
|
|
| Copyright (C) 2010-2025 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 |
| |
| 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) 2010-2025 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). |
|
|
| |
|
|
| |
| |
| programming interface. |
| |
| programming interface. |
| |
| How you can copy and share this manual. |
| |
|
|
| |
| 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': base 2 logarithm of e |
| 'M_LOG10Eq': decimal (base 10) logarithm of e |
| '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 divided by pi |
| 'M_2_PIq': two divided by pi |
| 'M_2_SQRTPIq': two divided by square root of pi |
| 'M_SQRT2q': square root of 2 |
| 'M_SQRT1_2q': one divided by 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 |
| 'exp2q': base 2 exponential 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 |
| 'issignalingq': check for signaling 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 |
| |
|
|
| |
|
|
| |
| |
|
|
| |
| 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 trailing 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); |
| |
| quadmath_snprintf (buf, sizeof buf, "%Qa", r); |
| if ((size_t) n < sizeof buf) |
| printf ("%s\n", buf); |
| |
| 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); |
| |
| } |
| 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. |
| <https: |
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| Everyone is permitted to copy and distribute verbatim copies |
| of this license document, but changing it is not allowed. |
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| 0. PREAMBLE |
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| The purpose of this License is to make a manual, textbook, or other |
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| This License is a kind of "copyleft", which means that derivative |
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| It complements the GNU General Public License, which is a copyleft |
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| We have designed this License in order to use it for manuals for |
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| 1. APPLICABILITY AND DEFINITIONS |
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|
|
| 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 |
| <https: |
|
|
| 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 <https: |
|
|
|
|
| |
| Tag Table: |
| Node: Top1633 |
| Node: Typedef and constants2367 |
| Node: Math Library Routines3808 |
| Node: I/O Library Routines7645 |
| Node: strtoflt1287970 |
| Node: quadmath_snprintf8730 |
| Node: GNU Free Documentation License10941 |
| Node: Reporting Bugs36093 |
| |
| End Tag Table |
|
|
