libquadmath.info 36 KB

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  1. This is libquadmath.info, produced by makeinfo version 6.8 from
  2. libquadmath.texi.
  3. Copyright (C) 2010-2021 Free Software Foundation, Inc.
  4. Permission is granted to copy, distribute and/or modify this
  5. document under the terms of the GNU Free Documentation License,
  6. Version 1.2 or any later version published by the Free Software
  7. Foundation; with no Invariant Sections, with the Front-Cover Texts
  8. being "A GNU Manual," and with the Back-Cover Texts as in (a)
  9. below. A copy of the license is included in the section entitled
  10. "GNU Free Documentation License."
  11. (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
  12. modify this GNU manual.
  13. INFO-DIR-SECTION GNU Libraries
  14. START-INFO-DIR-ENTRY
  15. * libquadmath: (libquadmath). GCC Quad-Precision Math Library
  16. END-INFO-DIR-ENTRY
  17. This manual documents the GCC Quad-Precision Math Library API.
  18. Published by the Free Software Foundation 51 Franklin Street, Fifth
  19. Floor Boston, MA 02110-1301 USA
  20. Copyright (C) 2010-2021 Free Software Foundation, Inc.
  21. Permission is granted to copy, distribute and/or modify this
  22. document under the terms of the GNU Free Documentation License,
  23. Version 1.2 or any later version published by the Free Software
  24. Foundation; with no Invariant Sections, with the Front-Cover Texts
  25. being "A GNU Manual," and with the Back-Cover Texts as in (a)
  26. below. A copy of the license is included in the section entitled
  27. "GNU Free Documentation License."
  28. (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
  29. modify this GNU manual.
  30. 
  31. File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir)
  32. Introduction
  33. ************
  34. This manual documents the usage of libquadmath, the GCC Quad-Precision
  35. Math Library Application Programming Interface (API).
  36. * Menu:
  37. * Typedef and constants:: Defined data types and constants
  38. * Math Library Routines:: The Libquadmath math runtime application
  39. programming interface.
  40. * I/O Library Routines:: The Libquadmath I/O runtime application
  41. programming interface.
  42. * GNU Free Documentation License::
  43. How you can copy and share this manual.
  44. * Reporting Bugs:: How to report bugs in GCC Libquadmath.
  45. 
  46. File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top
  47. 1 Typedef and constants
  48. ***********************
  49. The following data type has been defined via 'typedef'.
  50. '__complex128': '__float128'-based complex number
  51. The following macros are defined, which give the numeric limits of
  52. the '__float128' data type.
  53. 'FLT128_MAX': largest finite number
  54. 'FLT128_MIN': smallest positive number with full precision
  55. 'FLT128_EPSILON': difference between 1 and the next larger
  56. representable number
  57. 'FLT128_DENORM_MIN': smallest positive denormalized number
  58. 'FLT128_MANT_DIG': number of digits in the mantissa (bit precision)
  59. 'FLT128_MIN_EXP': maximal negative exponent
  60. 'FLT128_MAX_EXP': maximal positive exponent
  61. 'FLT128_DIG': number of decimal digits in the mantissa
  62. 'FLT128_MIN_10_EXP': maximal negative decimal exponent
  63. 'FLT128_MAX_10_EXP': maximal positive decimal exponent
  64. The following mathematical constants of type '__float128' are
  65. defined.
  66. 'M_Eq': the constant e (Euler's number)
  67. 'M_LOG2Eq': binary logarithm of 2
  68. 'M_LOG10Eq': common, decimal logarithm of 2
  69. 'M_LN2q': natural logarithm of 2
  70. 'M_LN10q': natural logarithm of 10
  71. 'M_PIq': pi
  72. 'M_PI_2q': pi divided by two
  73. 'M_PI_4q': pi divided by four
  74. 'M_1_PIq': one over pi
  75. 'M_2_PIq': one over two pi
  76. 'M_2_SQRTPIq': two over square root of pi
  77. 'M_SQRT2q': square root of 2
  78. 'M_SQRT1_2q': one over square root of 2
  79. 
  80. File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top
  81. 2 Math Library Routines
  82. ***********************
  83. The following mathematical functions are available:
  84. 'acosq': arc cosine function
  85. 'acoshq': inverse hyperbolic cosine function
  86. 'asinq': arc sine function
  87. 'asinhq': inverse hyperbolic sine function
  88. 'atanq': arc tangent function
  89. 'atanhq': inverse hyperbolic tangent function
  90. 'atan2q': arc tangent function
  91. 'cbrtq': cube root function
  92. 'ceilq': ceiling value function
  93. 'copysignq': copy sign of a number
  94. 'coshq': hyperbolic cosine function
  95. 'cosq': cosine function
  96. 'erfq': error function
  97. 'erfcq': complementary error function
  98. 'exp2q': base 2 exponential function
  99. 'expq': exponential function
  100. 'expm1q': exponential minus 1 function
  101. 'fabsq': absolute value function
  102. 'fdimq': positive difference function
  103. 'finiteq': check finiteness of value
  104. 'floorq': floor value function
  105. 'fmaq': fused multiply and add
  106. 'fmaxq': determine maximum of two values
  107. 'fminq': determine minimum of two values
  108. 'fmodq': remainder value function
  109. 'frexpq': extract mantissa and exponent
  110. 'hypotq': Eucledian distance function
  111. 'ilogbq': get exponent of the value
  112. 'isinfq': check for infinity
  113. 'isnanq': check for not a number
  114. 'issignalingq': check for signaling not a number
  115. 'j0q': Bessel function of the first kind, first order
  116. 'j1q': Bessel function of the first kind, second order
  117. 'jnq': Bessel function of the first kind, N-th order
  118. 'ldexpq': load exponent of the value
  119. 'lgammaq': logarithmic gamma function
  120. 'llrintq': round to nearest integer value
  121. 'llroundq': round to nearest integer value away from zero
  122. 'logbq': get exponent of the value
  123. 'logq': natural logarithm function
  124. 'log10q': base 10 logarithm function
  125. 'log1pq': compute natural logarithm of the value plus one
  126. 'log2q': base 2 logarithm function
  127. 'lrintq': round to nearest integer value
  128. 'lroundq': round to nearest integer value away from zero
  129. 'modfq': decompose the floating-point number
  130. 'nanq': return quiet NaN
  131. 'nearbyintq': round to nearest integer
  132. 'nextafterq': next representable floating-point number
  133. 'powq': power function
  134. 'remainderq': remainder function
  135. 'remquoq': remainder and part of quotient
  136. 'rintq': round-to-nearest integral value
  137. 'roundq': round-to-nearest integral value, return '__float128'
  138. 'scalblnq': compute exponent using 'FLT_RADIX'
  139. 'scalbnq': compute exponent using 'FLT_RADIX'
  140. 'signbitq': return sign bit
  141. 'sincosq': calculate sine and cosine simultaneously
  142. 'sinhq': hyperbolic sine function
  143. 'sinq': sine function
  144. 'sqrtq': square root function
  145. 'tanq': tangent function
  146. 'tanhq': hyperbolic tangent function
  147. 'tgammaq': true gamma function
  148. 'truncq': round to integer, towards zero
  149. 'y0q': Bessel function of the second kind, first order
  150. 'y1q': Bessel function of the second kind, second order
  151. 'ynq': Bessel function of the second kind, N-th order
  152. 'cabsq' complex absolute value function
  153. 'cargq': calculate the argument
  154. 'cimagq' imaginary part of complex number
  155. 'crealq': real part of complex number
  156. 'cacoshq': complex arc hyperbolic cosine function
  157. 'cacosq': complex arc cosine function
  158. 'casinhq': complex arc hyperbolic sine function
  159. 'casinq': complex arc sine function
  160. 'catanhq': complex arc hyperbolic tangent function
  161. 'catanq': complex arc tangent function
  162. 'ccosq' complex cosine function:
  163. 'ccoshq': complex hyperbolic cosine function
  164. 'cexpq': complex exponential function
  165. 'cexpiq': computes the exponential function of "i" times a
  166. real value
  167. 'clogq': complex natural logarithm
  168. 'clog10q': complex base 10 logarithm
  169. 'conjq': complex conjugate function
  170. 'cpowq': complex power function
  171. 'cprojq': project into Riemann Sphere
  172. 'csinq': complex sine function
  173. 'csinhq': complex hyperbolic sine function
  174. 'csqrtq': complex square root
  175. 'ctanq': complex tangent function
  176. 'ctanhq': complex hyperbolic tangent function
  177. 
  178. File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top
  179. 3 I/O Library Routines
  180. **********************
  181. * Menu:
  182. * 'strtoflt128': strtoflt128, Convert from string
  183. * 'quadmath_snprintf': quadmath_snprintf, Convert to string
  184. 
  185. File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines
  186. 3.1 'strtoflt128' -- Convert from string
  187. ========================================
  188. The function 'strtoflt128' converts a string into a '__float128' number.
  189. Syntax
  190. '__float128 strtoflt128 (const char *s, char **sp)'
  191. _Arguments_:
  192. S input string
  193. SP the address of the next character in the string
  194. The argument SP contains, if not 'NULL', the address of the next
  195. character following the parts of the string, which have been read.
  196. Example
  197. #include <quadmath.h>
  198. int main ()
  199. {
  200. __float128 r;
  201. r = strtoflt128 ("1.2345678", NULL);
  202. return 0;
  203. }
  204. 
  205. File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines
  206. 3.2 'quadmath_snprintf' -- Convert to string
  207. ============================================
  208. The function 'quadmath_snprintf' converts a '__float128' floating-point
  209. number into a string. It is a specialized alternative to 'snprintf',
  210. where the format string is restricted to a single conversion specifier
  211. with 'Q' modifier and conversion specifier 'e', 'E', 'f', 'F', 'g', 'G',
  212. 'a' or 'A', with no extra characters before or after the conversion
  213. specifier. The '%m$' or '*m$' style must not be used in the format.
  214. Syntax
  215. 'int quadmath_snprintf (char *s, size_t size, const char *format,
  216. ...)'
  217. _Arguments_:
  218. S output string
  219. SIZE byte size of the string, including tailing NUL
  220. FORMAT conversion specifier string
  221. Note
  222. On some targets when supported by the C library hooks are installed
  223. for 'printf' family of functions, so that 'printf ("%Qe", 1.2Q);'
  224. etc. works too.
  225. Example
  226. #include <quadmath.h>
  227. #include <stdlib.h>
  228. #include <stdio.h>
  229. int main ()
  230. {
  231. __float128 r;
  232. int prec = 20;
  233. int width = 46;
  234. char buf[128];
  235. r = 2.0q;
  236. r = sqrtq (r);
  237. int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r);
  238. if ((size_t) n < sizeof buf)
  239. printf ("%s\n", buf);
  240. /* Prints: +1.41421356237309504880e+00 */
  241. quadmath_snprintf (buf, sizeof buf, "%Qa", r);
  242. if ((size_t) n < sizeof buf)
  243. printf ("%s\n", buf);
  244. /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */
  245. n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r);
  246. if (n > -1)
  247. {
  248. char *str = malloc (n + 1);
  249. if (str)
  250. {
  251. quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r);
  252. printf ("%s\n", str);
  253. /* Prints: +1.41421356237309504880e+00 */
  254. }
  255. free (str);
  256. }
  257. return 0;
  258. }
  259. 
  260. File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top
  261. GNU Free Documentation License
  262. ******************************
  263. Version 1.3, 3 November 2008
  264. Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc.
  265. <http://fsf.org/>
  266. Everyone is permitted to copy and distribute verbatim copies
  267. of this license document, but changing it is not allowed.
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  277. works of the document must themselves be free in the same sense.
  278. It complements the GNU General Public License, which is a copyleft
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  455. J. Preserve the network location, if any, given in the Document
  456. for public access to a Transparent copy of the Document, and
  457. likewise the network locations given in the Document for
  458. previous versions it was based on. These may be placed in the
  459. "History" section. You may omit a network location for a work
  460. that was published at least four years before the Document
  461. itself, or if the original publisher of the version it refers
  462. to gives permission.
  463. K. For any section Entitled "Acknowledgements" or "Dedications",
  464. Preserve the Title of the section, and preserve in the section
  465. all the substance and tone of each of the contributor
  466. acknowledgements and/or dedications given therein.
  467. L. Preserve all the Invariant Sections of the Document, unaltered
  468. in their text and in their titles. Section numbers or the
  469. equivalent are not considered part of the section titles.
  470. M. Delete any section Entitled "Endorsements". Such a section
  471. may not be included in the Modified Version.
  472. N. Do not retitle any existing section to be Entitled
  473. "Endorsements" or to conflict in title with any Invariant
  474. Section.
  475. O. Preserve any Warranty Disclaimers.
  476. If the Modified Version includes new front-matter sections or
  477. appendices that qualify as Secondary Sections and contain no
  478. material copied from the Document, you may at your option designate
  479. some or all of these sections as invariant. To do this, add their
  480. titles to the list of Invariant Sections in the Modified Version's
  481. license notice. These titles must be distinct from any other
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  483. You may add a section Entitled "Endorsements", provided it contains
  484. nothing but endorsements of your Modified Version by various
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  486. has been approved by an organization as the authoritative
  487. definition of a standard.
  488. You may add a passage of up to five words as a Front-Cover Text,
  489. and a passage of up to 25 words as a Back-Cover Text, to the end of
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  498. The author(s) and publisher(s) of the Document do not by this
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  501. 5. COMBINING DOCUMENTS
  502. You may combine the Document with other documents released under
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  504. modified versions, provided that you include in the combination all
  505. of the Invariant Sections of all of the original documents,
  506. unmodified, and list them all as Invariant Sections of your
  507. combined work in its license notice, and that you preserve all
  508. their Warranty Disclaimers.
  509. The combined work need only contain one copy of this License, and
  510. multiple identical Invariant Sections may be replaced with a single
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  518. In the combination, you must combine any sections Entitled
  519. "History" in the various original documents, forming one section
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  522. must delete all sections Entitled "Endorsements."
  523. 6. COLLECTIONS OF DOCUMENTS
  524. You may make a collection consisting of the Document and other
  525. documents released under this License, and replace the individual
  526. copies of this License in the various documents with a single copy
  527. that is included in the collection, provided that you follow the
  528. rules of this License for verbatim copying of each of the documents
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  530. You may extract a single document from such a collection, and
  531. distribute it individually under this License, provided you insert
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  535. 7. AGGREGATION WITH INDEPENDENT WORKS
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  539. copyright resulting from the compilation is not used to limit the
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  544. If the Cover Text requirement of section 3 is applicable to these
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  551. 8. TRANSLATION
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  556. translations of some or all Invariant Sections in addition to the
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  558. translation of this License, and all the license notices in the
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  562. disagreement between the translation and the original version of
  563. this License or a notice or disclaimer, the original version will
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  565. If a section in the Document is Entitled "Acknowledgements",
  566. "Dedications", or "History", the requirement (section 4) to
  567. Preserve its Title (section 1) will typically require changing the
  568. actual title.
  569. 9. TERMINATION
  570. You may not copy, modify, sublicense, or distribute the Document
  571. except as expressly provided under this License. Any attempt
  572. otherwise to copy, modify, sublicense, or distribute it is void,
  573. and will automatically terminate your rights under this License.
  574. However, if you cease all violation of this License, then your
  575. license from a particular copyright holder is reinstated (a)
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  590. same material does not give you any rights to use it.
  591. 10. FUTURE REVISIONS OF THIS LICENSE
  592. The Free Software Foundation may publish new, revised versions of
  593. the GNU Free Documentation License from time to time. Such new
  594. versions will be similar in spirit to the present version, but may
  595. differ in detail to address new problems or concerns. See
  596. <http://www.gnu.org/copyleft/>.
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  605. Software Foundation. If the Document specifies that a proxy can
  606. decide which future versions of this License can be used, that
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  609. 11. RELICENSING
  610. "Massive Multiauthor Collaboration Site" (or "MMC Site") means any
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  617. "CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0
  618. license published by Creative Commons Corporation, a not-for-profit
  619. corporation with a principal place of business in San Francisco,
  620. California, as well as future copyleft versions of that license
  621. published by that same organization.
  622. "Incorporate" means to publish or republish a Document, in whole or
  623. in part, as part of another Document.
  624. An MMC is "eligible for relicensing" if it is licensed under this
  625. License, and if all works that were first published under this
  626. License somewhere other than this MMC, and subsequently
  627. incorporated in whole or in part into the MMC, (1) had no cover
  628. texts or invariant sections, and (2) were thus incorporated prior
  629. to November 1, 2008.
  630. The operator of an MMC Site may republish an MMC contained in the
  631. site under CC-BY-SA on the same site at any time before August 1,
  632. 2009, provided the MMC is eligible for relicensing.
  633. ADDENDUM: How to use this License for your documents
  634. ====================================================
  635. To use this License in a document you have written, include a copy of
  636. the License in the document and put the following copyright and license
  637. notices just after the title page:
  638. Copyright (C) YEAR YOUR NAME.
  639. Permission is granted to copy, distribute and/or modify this document
  640. under the terms of the GNU Free Documentation License, Version 1.3
  641. or any later version published by the Free Software Foundation;
  642. with no Invariant Sections, no Front-Cover Texts, and no Back-Cover
  643. Texts. A copy of the license is included in the section entitled ``GNU
  644. Free Documentation License''.
  645. If you have Invariant Sections, Front-Cover Texts and Back-Cover
  646. Texts, replace the "with...Texts." line with this:
  647. with the Invariant Sections being LIST THEIR TITLES, with
  648. the Front-Cover Texts being LIST, and with the Back-Cover Texts
  649. being LIST.
  650. If you have Invariant Sections without Cover Texts, or some other
  651. combination of the three, merge those two alternatives to suit the
  652. situation.
  653. If your document contains nontrivial examples of program code, we
  654. recommend releasing these examples in parallel under your choice of free
  655. software license, such as the GNU General Public License, to permit
  656. their use in free software.
  657. 
  658. File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top
  659. 4 Reporting Bugs
  660. ****************
  661. Bugs in the GCC Quad-Precision Math Library implementation should be
  662. reported via <https://gcc.gnu.org/bugs/>.
  663. 
  664. Tag Table:
  665. Node: Top1633
  666. Node: Typedef and constants2367
  667. Node: Math Library Routines3786
  668. Node: I/O Library Routines7623
  669. Node: strtoflt1287948
  670. Node: quadmath_snprintf8708
  671. Node: GNU Free Documentation License10918
  672. Node: Reporting Bugs36065
  673. 
  674. End Tag Table
  675. 
  676. Local Variables:
  677. coding: utf-8
  678. End: