| This is libquadmath.info, produced by makeinfo version 4.12 from |
| /space/rguenther/gcc-5.3.0/gcc-5.3.0/libquadmath/libquadmath.texi. |
| |
| Copyright (C) 2010-2015 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) 2010-2015 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 |
| |
| `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 |
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| The purpose of this License is to make a manual, textbook, or other |
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| The author(s) and publisher(s) of the Document do not by this |
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| 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 |
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| their Warranty Disclaimers. |
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| The combined work need only contain one copy of this License, and |
| multiple identical Invariant Sections may be replaced with a single |
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| In the combination, you must combine any sections Entitled |
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| Entitled "History"; likewise combine any sections Entitled |
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| must delete all sections Entitled "Endorsements." |
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| 6. COLLECTIONS OF DOCUMENTS |
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| 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 |
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| |
| You may extract a single document from such a collection, and |
| distribute it individually under this License, provided you insert |
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| |
| 7. AGGREGATION WITH INDEPENDENT WORKS |
| |
| A compilation of the Document or its derivatives with other |
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| If the Cover Text requirement of section 3 is applicable to these |
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| 8. TRANSLATION |
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| Translation is considered a kind of modification, so you may |
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| If a section in the Document is Entitled "Acknowledgements", |
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| actual title. |
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| 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. |
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| 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 |
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| Moreover, your license from a particular copyright holder is |
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| after your receipt of the notice. |
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| Termination of your rights under this section does not terminate |
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| the same material does not give you any rights to use it. |
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| 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/'. |
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| Each version of the License is given a distinguishing version |
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| Free Software Foundation. If the Document specifies that a proxy |
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| proxy's public statement of acceptance of a version permanently |
| authorizes you to choose that version for the Document. |
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| 11. RELICENSING |
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| "Massive Multiauthor Collaboration Site" (or "MMC Site") means any |
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| "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. |
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| "Incorporate" means to publish or republish a Document, in whole or |
| in part, as part of another Document. |
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| An MMC is "eligible for relicensing" if it is licensed under this |
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| 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. |
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| 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: Top1684 |
| Node: Typedef and constants2418 |
| Node: Math Library Routines3858 |
| Node: I/O Library Routines7662 |
| Node: strtoflt1287987 |
| Node: quadmath_snprintf8745 |
| Node: GNU Free Documentation License10953 |
| Node: Reporting Bugs36119 |
| |
| End Tag Table |