1This is libquadmath.info, produced by makeinfo version 4.12 from 2/space/rguenther/gcc-5.4.0/gcc-5.4.0/libquadmath/libquadmath.texi. 3 4Copyright (C) 2010-2015 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 15 and modify this GNU manual. 16 17INFO-DIR-SECTION GNU Libraries 18START-INFO-DIR-ENTRY 19* libquadmath: (libquadmath). GCC Quad-Precision Math Library 20END-INFO-DIR-ENTRY 21 22 This manual documents the GCC Quad-Precision Math Library API. 23 24 Published by the Free Software Foundation 51 Franklin Street, Fifth 25Floor Boston, MA 02110-1301 USA 26 27 Copyright (C) 2010-2015 Free Software Foundation, Inc. 28 29 Permission is granted to copy, distribute and/or modify this 30 document under the terms of the GNU Free Documentation License, 31 Version 1.2 or any later version published by the Free Software 32 Foundation; with no Invariant Sections, with the Front-Cover Texts 33 being "A GNU Manual," and with the Back-Cover Texts as in (a) 34 below. A copy of the license is included in the section entitled 35 "GNU Free Documentation License." 36 37 (a) The FSF's Back-Cover Text is: "You have the freedom to copy 38 and modify this GNU manual. 39 40 41File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir) 42 43Introduction 44************ 45 46This manual documents the usage of libquadmath, the GCC Quad-Precision 47Math Library Application Programming Interface (API). 48 49* Menu: 50 51* Typedef and constants:: Defined data types and constants 52* Math Library Routines:: The Libquadmath math runtime application 53 programming interface. 54* I/O Library Routines:: The Libquadmath I/O runtime application 55 programming interface. 56* GNU Free Documentation License:: 57 How you can copy and share this manual. 58* Reporting Bugs:: How to report bugs in GCC Libquadmath. 59 60 61File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top 62 631 Typedef and constants 64*********************** 65 66The following data type has been defined via `typedef'. 67 68`__complex128': `__float128'-based complex number 69 70 The following macros are defined, which give the numeric limits of 71the `__float128' data type. 72 73`FLT128_MAX': largest finite number 74 75`FLT128_MIN': smallest positive number with full precision 76 77`FLT128_EPSILON': difference between 1 and the next larger 78 representable number 79 80`FLT128_DENORM_MIN': smallest positive denormalized number 81 82`FLT128_MANT_DIG': number of digits in the mantissa (bit precision) 83 84`FLT128_MIN_EXP': maximal negative exponent 85 86`FLT128_MAX_EXP': maximal positive exponent 87 88`FLT128_DIG': number of decimal digits in the mantissa 89 90`FLT128_MIN_10_EXP': maximal negative decimal exponent 91 92`FLT128_MAX_10_EXP': maximal positive decimal exponent 93 94 The following mathematical constants of type `__float128' are 95defined. 96 97`M_Eq': the constant e (Euler's number) 98 99`M_LOG2Eq': binary logarithm of 2 100 101`M_LOG10Eq': common, decimal logarithm of 2 102 103`M_LN2q': natural logarithm of 2 104 105`M_LN10q': natural logarithm of 10 106 107`M_PIq': pi 108 109`M_PI_2q': pi divided by two 110 111`M_PI_4q': pi divided by four 112 113`M_1_PIq': one over pi 114 115`M_2_PIq': one over two pi 116 117`M_2_SQRTPIq': two over square root of pi 118 119`M_SQRT2q': square root of 2 120 121`M_SQRT1_2q': one over square root of 2 122 123 124File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top 125 1262 Math Library Routines 127*********************** 128 129The following mathematical functions are available: 130 131`acosq': arc cosine function 132 133`acoshq': inverse hyperbolic cosine function 134 135`asinq': arc sine function 136 137`asinhq': inverse hyperbolic sine function 138 139`atanq': arc tangent function 140 141`atanhq': inverse hyperbolic tangent function 142 143`atan2q': arc tangent function 144 145`cbrtq': cube root function 146 147`ceilq': ceiling value function 148 149`copysignq': copy sign of a number 150 151`coshq': hyperbolic cosine function 152 153`cosq': cosine function 154 155`erfq': error function 156 157`erfcq': complementary error function 158 159`expq': exponential function 160 161`expm1q': exponential minus 1 function 162 163`fabsq': absolute value function 164 165`fdimq': positive difference function 166 167`finiteq': check finiteness of value 168 169`floorq': floor value function 170 171`fmaq': fused multiply and add 172 173`fmaxq': determine maximum of two values 174 175`fminq': determine minimum of two values 176 177`fmodq': remainder value function 178 179`frexpq': extract mantissa and exponent 180 181`hypotq': Eucledian distance function 182 183`ilogbq': get exponent of the value 184 185`isinfq': check for infinity 186 187`isnanq': check for not a number 188 189`j0q': Bessel function of the first kind, first order 190 191`j1q': Bessel function of the first kind, second order 192 193`jnq': Bessel function of the first kind, N-th order 194 195`ldexpq': load exponent of the value 196 197`lgammaq': logarithmic gamma function 198 199`llrintq': round to nearest integer value 200 201`llroundq': round to nearest integer value away from zero 202 203`logq': natural logarithm function 204 205`log10q': base 10 logarithm function 206 207`log1pq': compute natural logarithm of the value plus one 208 209`log2q': base 2 logarithm function 210 211`lrintq': round to nearest integer value 212 213`lroundq': round to nearest integer value away from zero 214 215`modfq': decompose the floating-point number 216 217`nanq': return quiet NaN 218 219`nearbyintq': round to nearest integer 220 221`nextafterq': next representable floating-point number 222 223`powq': power function 224 225`remainderq': remainder function 226 227`remquoq': remainder and part of quotient 228 229`rintq': round-to-nearest integral value 230 231`roundq': round-to-nearest integral value, return `__float128' 232 233`scalblnq': compute exponent using `FLT_RADIX' 234 235`scalbnq': compute exponent using `FLT_RADIX' 236 237`signbitq': return sign bit 238 239`sincosq': calculate sine and cosine simultaneously 240 241`sinhq': hyperbolic sine function 242 243`sinq': sine function 244 245`sqrtq': square root function 246 247`tanq': tangent function 248 249`tanhq': hyperbolic tangent function 250 251`tgammaq': true gamma function 252 253`truncq': round to integer, towards zero 254 255`y0q': Bessel function of the second kind, first order 256 257`y1q': Bessel function of the second kind, second order 258 259`ynq': Bessel function of the second kind, N-th order 260 261`cabsq' complex absolute value function 262 263`cargq': calculate the argument 264 265`cimagq' imaginary part of complex number 266 267`crealq': real part of complex number 268 269`cacoshq': complex arc hyperbolic cosine function 270 271`cacosq': complex arc cosine function 272 273`casinhq': complex arc hyperbolic sine function 274 275`casinq': complex arc sine function 276 277`catanhq': complex arc hyperbolic tangent function 278 279`catanq': complex arc tangent function 280 281`ccosq' complex cosine function: 282 283`ccoshq': complex hyperbolic cosine function 284 285`cexpq': complex exponential function 286 287`cexpiq': computes the exponential function of "i" times a 288 real value 289 290`clogq': complex natural logarithm 291 292`clog10q': complex base 10 logarithm 293 294`conjq': complex conjugate function 295 296`cpowq': complex power function 297 298`cprojq': project into Riemann Sphere 299 300`csinq': complex sine function 301 302`csinhq': complex hyperbolic sine function 303 304`csqrtq': complex square root 305 306`ctanq': complex tangent function 307 308`ctanhq': complex hyperbolic tangent function 309 310 311File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top 312 3133 I/O Library Routines 314********************** 315 316* Menu: 317 318* `strtoflt128': strtoflt128, Convert from string 319* `quadmath_snprintf': quadmath_snprintf, Convert to string 320 321 322File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines 323 3243.1 `strtoflt128' -- Convert from string 325======================================== 326 327The function `strtoflt128' converts a string into a `__float128' number. 328 329Syntax 330 `__float128 strtoflt128 (const char *s, char **sp)' 331 332_Arguments_: 333 S input string 334 SP the address of the next character in the string 335 336 The argument SP contains, if not `NULL', the address of the next 337 character following the parts of the string, which have been read. 338 339Example 340 #include <quadmath.h> 341 342 int main () 343 { 344 __float128 r; 345 346 r = strtoflt128 ("1.2345678", NULL); 347 348 return 0; 349 } 350 351 352File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines 353 3543.2 `quadmath_snprintf' -- Convert to string 355============================================ 356 357The function `quadmath_snprintf' converts a `__float128' floating-point 358number into a string. It is a specialized alternative to `snprintf', 359where the format string is restricted to a single conversion specifier 360with `Q' modifier and conversion specifier `e', `E', `f', `F', `g', 361`G', `a' or `A', with no extra characters before or after the 362conversion specifier. The `%m$' or `*m$' style must not be used in the 363format. 364 365Syntax 366 `int quadmath_snprintf (char *s, size_t size, const char *format, 367 ...)' 368 369_Arguments_: 370 S output string 371 SIZE byte size of the string, including tailing NUL 372 FORMAT conversion specifier string 373 374Note 375 On some targets when supported by the C library hooks are installed 376 for `printf' family of functions, so that `printf ("%Qe", 1.2Q);' 377 etc. works too. 378 379Example 380 #include <quadmath.h> 381 #include <stdlib.h> 382 #include <stdio.h> 383 384 int main () 385 { 386 __float128 r; 387 int prec = 20; 388 int width = 46; 389 char buf[128]; 390 391 r = 2.0q; 392 r = sqrtq (r); 393 int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r); 394 if ((size_t) n < sizeof buf) 395 printf ("%s\n", buf); 396 /* Prints: +1.41421356237309504880e+00 */ 397 quadmath_snprintf (buf, sizeof buf, "%Qa", r); 398 if ((size_t) n < sizeof buf) 399 printf ("%s\n", buf); 400 /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */ 401 n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r); 402 if (n > -1) 403 { 404 char *str = malloc (n + 1); 405 if (str) 406 { 407 quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r); 408 printf ("%s\n", str); 409 /* Prints: +1.41421356237309504880e+00 */ 410 } 411 free (str); 412 } 413 return 0; 414 } 415 416 417 418File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top 419 420GNU Free Documentation License 421****************************** 422 423 Version 1.3, 3 November 2008 424 425 Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. 426 `http://fsf.org/' 427 428 Everyone is permitted to copy and distribute verbatim copies 429 of this license document, but changing it is not allowed. 430 431 0. PREAMBLE 432 433 The purpose of this License is to make a manual, textbook, or other 434 functional and useful document "free" in the sense of freedom: to 435 assure everyone the effective freedom to copy and redistribute it, 436 with or without modifying it, either commercially or 437 noncommercially. Secondarily, this License preserves for the 438 author and publisher a way to get credit for their work, while not 439 being considered responsible for modifications made by others. 440 441 This License is a kind of "copyleft", which means that derivative 442 works of the document must themselves be free in the same sense. 443 It complements the GNU General Public License, which is a copyleft 444 license designed for free software. 445 446 We have designed this License in order to use it for manuals for 447 free software, because free software needs free documentation: a 448 free program should come with manuals providing the same freedoms 449 that the software does. But this License is not limited to 450 software manuals; it can be used for any textual work, regardless 451 of subject matter or whether it is published as a printed book. 452 We recommend this License principally for works whose purpose is 453 instruction or reference. 454 455 1. APPLICABILITY AND DEFINITIONS 456 457 This License applies to any manual or other work, in any medium, 458 that contains a notice placed by the copyright holder saying it 459 can be distributed under the terms of this License. Such a notice 460 grants a world-wide, royalty-free license, unlimited in duration, 461 to use that work under the conditions stated herein. The 462 "Document", below, refers to any such manual or work. Any member 463 of the public is a licensee, and is addressed as "you". You 464 accept the license if you copy, modify or distribute the work in a 465 way requiring permission under copyright law. 466 467 A "Modified Version" of the Document means any work containing the 468 Document or a portion of it, either copied verbatim, or with 469 modifications and/or translated into another language. 470 471 A "Secondary Section" is a named appendix or a front-matter section 472 of the Document that deals exclusively with the relationship of the 473 publishers or authors of the Document to the Document's overall 474 subject (or to related matters) and contains nothing that could 475 fall directly within that overall subject. (Thus, if the Document 476 is in part a textbook of mathematics, a Secondary Section may not 477 explain any mathematics.) The relationship could be a matter of 478 historical connection with the subject or with related matters, or 479 of legal, commercial, philosophical, ethical or political position 480 regarding them. 481 482 The "Invariant Sections" are certain Secondary Sections whose 483 titles are designated, as being those of Invariant Sections, in 484 the notice that says that the Document is released under this 485 License. If a section does not fit the above definition of 486 Secondary then it is not allowed to be designated as Invariant. 487 The Document may contain zero Invariant Sections. If the Document 488 does not identify any Invariant Sections then there are none. 489 490 The "Cover Texts" are certain short passages of text that are 491 listed, as Front-Cover Texts or Back-Cover Texts, in the notice 492 that says that the Document is released under this License. A 493 Front-Cover Text may be at most 5 words, and a Back-Cover Text may 494 be at most 25 words. 495 496 A "Transparent" copy of the Document means a machine-readable copy, 497 represented in a format whose specification is available to the 498 general public, that is suitable for revising the document 499 straightforwardly with generic text editors or (for images 500 composed of pixels) generic paint programs or (for drawings) some 501 widely available drawing editor, and that is suitable for input to 502 text formatters or for automatic translation to a variety of 503 formats suitable for input to text formatters. A copy made in an 504 otherwise Transparent file format whose markup, or absence of 505 markup, has been arranged to thwart or discourage subsequent 506 modification by readers is not Transparent. An image format is 507 not Transparent if used for any substantial amount of text. A 508 copy that is not "Transparent" is called "Opaque". 509 510 Examples of suitable formats for Transparent copies include plain 511 ASCII without markup, Texinfo input format, LaTeX input format, 512 SGML or XML using a publicly available DTD, and 513 standard-conforming simple HTML, PostScript or PDF designed for 514 human modification. Examples of transparent image formats include 515 PNG, XCF and JPG. Opaque formats include proprietary formats that 516 can be read and edited only by proprietary word processors, SGML or 517 XML for which the DTD and/or processing tools are not generally 518 available, and the machine-generated HTML, PostScript or PDF 519 produced by some word processors for output purposes only. 520 521 The "Title Page" means, for a printed book, the title page itself, 522 plus such following pages as are needed to hold, legibly, the 523 material this License requires to appear in the title page. For 524 works in formats which do not have any title page as such, "Title 525 Page" means the text near the most prominent appearance of the 526 work's title, preceding the beginning of the body of the text. 527 528 The "publisher" means any person or entity that distributes copies 529 of the Document to the public. 530 531 A section "Entitled XYZ" means a named subunit of the Document 532 whose title either is precisely XYZ or contains XYZ in parentheses 533 following text that translates XYZ in another language. (Here XYZ 534 stands for a specific section name mentioned below, such as 535 "Acknowledgements", "Dedications", "Endorsements", or "History".) 536 To "Preserve the Title" of such a section when you modify the 537 Document means that it remains a section "Entitled XYZ" according 538 to this definition. 539 540 The Document may include Warranty Disclaimers next to the notice 541 which states that this License applies to the Document. These 542 Warranty Disclaimers are considered to be included by reference in 543 this License, but only as regards disclaiming warranties: any other 544 implication that these Warranty Disclaimers may have is void and 545 has no effect on the meaning of this License. 546 547 2. VERBATIM COPYING 548 549 You may copy and distribute the Document in any medium, either 550 commercially or noncommercially, provided that this License, the 551 copyright notices, and the license notice saying this License 552 applies to the Document are reproduced in all copies, and that you 553 add no other conditions whatsoever to those of this License. You 554 may not use technical measures to obstruct or control the reading 555 or further copying of the copies you make or distribute. However, 556 you may accept compensation in exchange for copies. If you 557 distribute a large enough number of copies you must also follow 558 the conditions in section 3. 559 560 You may also lend copies, under the same conditions stated above, 561 and you may publicly display copies. 562 563 3. COPYING IN QUANTITY 564 565 If you publish printed copies (or copies in media that commonly 566 have printed covers) of the Document, numbering more than 100, and 567 the Document's license notice requires Cover Texts, you must 568 enclose the copies in covers that carry, clearly and legibly, all 569 these Cover Texts: Front-Cover Texts on the front cover, and 570 Back-Cover Texts on the back cover. Both covers must also clearly 571 and legibly identify you as the publisher of these copies. The 572 front cover must present the full title with all words of the 573 title equally prominent and visible. You may add other material 574 on the covers in addition. Copying with changes limited to the 575 covers, as long as they preserve the title of the Document and 576 satisfy these conditions, can be treated as verbatim copying in 577 other respects. 578 579 If the required texts for either cover are too voluminous to fit 580 legibly, you should put the first ones listed (as many as fit 581 reasonably) on the actual cover, and continue the rest onto 582 adjacent pages. 583 584 If you publish or distribute Opaque copies of the Document 585 numbering more than 100, you must either include a 586 machine-readable Transparent copy along with each Opaque copy, or 587 state in or with each Opaque copy a computer-network location from 588 which the general network-using public has access to download 589 using public-standard network protocols a complete Transparent 590 copy of the Document, free of added material. If you use the 591 latter option, you must take reasonably prudent steps, when you 592 begin distribution of Opaque copies in quantity, to ensure that 593 this Transparent copy will remain thus accessible at the stated 594 location until at least one year after the last time you 595 distribute an Opaque copy (directly or through your agents or 596 retailers) of that edition to the public. 597 598 It is requested, but not required, that you contact the authors of 599 the Document well before redistributing any large number of 600 copies, to give them a chance to provide you with an updated 601 version of the Document. 602 603 4. MODIFICATIONS 604 605 You may copy and distribute a Modified Version of the Document 606 under the conditions of sections 2 and 3 above, provided that you 607 release the Modified Version under precisely this License, with 608 the Modified Version filling the role of the Document, thus 609 licensing distribution and modification of the Modified Version to 610 whoever possesses a copy of it. In addition, you must do these 611 things in the Modified Version: 612 613 A. Use in the Title Page (and on the covers, if any) a title 614 distinct from that of the Document, and from those of 615 previous versions (which should, if there were any, be listed 616 in the History section of the Document). You may use the 617 same title as a previous version if the original publisher of 618 that version gives permission. 619 620 B. List on the Title Page, as authors, one or more persons or 621 entities responsible for authorship of the modifications in 622 the Modified Version, together with at least five of the 623 principal authors of the Document (all of its principal 624 authors, if it has fewer than five), unless they release you 625 from this requirement. 626 627 C. State on the Title page the name of the publisher of the 628 Modified Version, as the publisher. 629 630 D. Preserve all the copyright notices of the Document. 631 632 E. Add an appropriate copyright notice for your modifications 633 adjacent to the other copyright notices. 634 635 F. Include, immediately after the copyright notices, a license 636 notice giving the public permission to use the Modified 637 Version under the terms of this License, in the form shown in 638 the Addendum below. 639 640 G. Preserve in that license notice the full lists of Invariant 641 Sections and required Cover Texts given in the Document's 642 license notice. 643 644 H. Include an unaltered copy of this License. 645 646 I. Preserve the section Entitled "History", Preserve its Title, 647 and add to it an item stating at least the title, year, new 648 authors, and publisher of the Modified Version as given on 649 the Title Page. If there is no section Entitled "History" in 650 the Document, create one stating the title, year, authors, 651 and publisher of the Document as given on its Title Page, 652 then add an item describing the Modified Version as stated in 653 the previous sentence. 654 655 J. Preserve the network location, if any, given in the Document 656 for public access to a Transparent copy of the Document, and 657 likewise the network locations given in the Document for 658 previous versions it was based on. These may be placed in 659 the "History" section. You may omit a network location for a 660 work that was published at least four years before the 661 Document itself, or if the original publisher of the version 662 it refers to gives permission. 663 664 K. For any section Entitled "Acknowledgements" or "Dedications", 665 Preserve the Title of the section, and preserve in the 666 section all the substance and tone of each of the contributor 667 acknowledgements and/or dedications given therein. 668 669 L. Preserve all the Invariant Sections of the Document, 670 unaltered in their text and in their titles. Section numbers 671 or the equivalent are not considered part of the section 672 titles. 673 674 M. Delete any section Entitled "Endorsements". Such a section 675 may not be included in the Modified Version. 676 677 N. Do not retitle any existing section to be Entitled 678 "Endorsements" or to conflict in title with any Invariant 679 Section. 680 681 O. Preserve any Warranty Disclaimers. 682 683 If the Modified Version includes new front-matter sections or 684 appendices that qualify as Secondary Sections and contain no 685 material copied from the Document, you may at your option 686 designate some or all of these sections as invariant. To do this, 687 add their titles to the list of Invariant Sections in the Modified 688 Version's license notice. These titles must be distinct from any 689 other section titles. 690 691 You may add a section Entitled "Endorsements", provided it contains 692 nothing but endorsements of your Modified Version by various 693 parties--for example, statements of peer review or that the text 694 has been approved by an organization as the authoritative 695 definition of a standard. 696 697 You may add a passage of up to five words as a Front-Cover Text, 698 and a passage of up to 25 words as a Back-Cover Text, to the end 699 of the list of Cover Texts in the Modified Version. Only one 700 passage of Front-Cover Text and one of Back-Cover Text may be 701 added by (or through arrangements made by) any one entity. If the 702 Document already includes a cover text for the same cover, 703 previously added by you or by arrangement made by the same entity 704 you are acting on behalf of, you may not add another; but you may 705 replace the old one, on explicit permission from the previous 706 publisher that added the old one. 707 708 The author(s) and publisher(s) of the Document do not by this 709 License give permission to use their names for publicity for or to 710 assert or imply endorsement of any Modified Version. 711 712 5. COMBINING DOCUMENTS 713 714 You may combine the Document with other documents released under 715 this License, under the terms defined in section 4 above for 716 modified versions, provided that you include in the combination 717 all of the Invariant Sections of all of the original documents, 718 unmodified, and list them all as Invariant Sections of your 719 combined work in its license notice, and that you preserve all 720 their Warranty Disclaimers. 721 722 The combined work need only contain one copy of this License, and 723 multiple identical Invariant Sections may be replaced with a single 724 copy. If there are multiple Invariant Sections with the same name 725 but different contents, make the title of each such section unique 726 by adding at the end of it, in parentheses, the name of the 727 original author or publisher of that section if known, or else a 728 unique number. Make the same adjustment to the section titles in 729 the list of Invariant Sections in the license notice of the 730 combined work. 731 732 In the combination, you must combine any sections Entitled 733 "History" in the various original documents, forming one section 734 Entitled "History"; likewise combine any sections Entitled 735 "Acknowledgements", and any sections Entitled "Dedications". You 736 must delete all sections Entitled "Endorsements." 737 738 6. COLLECTIONS OF DOCUMENTS 739 740 You may make a collection consisting of the Document and other 741 documents released under this License, and replace the individual 742 copies of this License in the various documents with a single copy 743 that is included in the collection, provided that you follow the 744 rules of this License for verbatim copying of each of the 745 documents in all other respects. 746 747 You may extract a single document from such a collection, and 748 distribute it individually under this License, provided you insert 749 a copy of this License into the extracted document, and follow 750 this License in all other respects regarding verbatim copying of 751 that document. 752 753 7. AGGREGATION WITH INDEPENDENT WORKS 754 755 A compilation of the Document or its derivatives with other 756 separate and independent documents or works, in or on a volume of 757 a storage or distribution medium, is called an "aggregate" if the 758 copyright resulting from the compilation is not used to limit the 759 legal rights of the compilation's users beyond what the individual 760 works permit. When the Document is included in an aggregate, this 761 License does not apply to the other works in the aggregate which 762 are not themselves derivative works of the Document. 763 764 If the Cover Text requirement of section 3 is applicable to these 765 copies of the Document, then if the Document is less than one half 766 of the entire aggregate, the Document's Cover Texts may be placed 767 on covers that bracket the Document within the aggregate, or the 768 electronic equivalent of covers if the Document is in electronic 769 form. Otherwise they must appear on printed covers that bracket 770 the whole aggregate. 771 772 8. TRANSLATION 773 774 Translation is considered a kind of modification, so you may 775 distribute translations of the Document under the terms of section 776 4. Replacing Invariant Sections with translations requires special 777 permission from their copyright holders, but you may include 778 translations of some or all Invariant Sections in addition to the 779 original versions of these Invariant Sections. You may include a 780 translation of this License, and all the license notices in the 781 Document, and any Warranty Disclaimers, provided that you also 782 include the original English version of this License and the 783 original versions of those notices and disclaimers. In case of a 784 disagreement between the translation and the original version of 785 this License or a notice or disclaimer, the original version will 786 prevail. 787 788 If a section in the Document is Entitled "Acknowledgements", 789 "Dedications", or "History", the requirement (section 4) to 790 Preserve its Title (section 1) will typically require changing the 791 actual title. 792 793 9. TERMINATION 794 795 You may not copy, modify, sublicense, or distribute the Document 796 except as expressly provided under this License. Any attempt 797 otherwise to copy, modify, sublicense, or distribute it is void, 798 and will automatically terminate your rights under this License. 799 800 However, if you cease all violation of this License, then your 801 license from a particular copyright holder is reinstated (a) 802 provisionally, unless and until the copyright holder explicitly 803 and finally terminates your license, and (b) permanently, if the 804 copyright holder fails to notify you of the violation by some 805 reasonable means prior to 60 days after the cessation. 806 807 Moreover, your license from a particular copyright holder is 808 reinstated permanently if the copyright holder notifies you of the 809 violation by some reasonable means, this is the first time you have 810 received notice of violation of this License (for any work) from 811 that copyright holder, and you cure the violation prior to 30 days 812 after your receipt of the notice. 813 814 Termination of your rights under this section does not terminate 815 the licenses of parties who have received copies or rights from 816 you under this License. If your rights have been terminated and 817 not permanently reinstated, receipt of a copy of some or all of 818 the same material does not give you any rights to use it. 819 820 10. FUTURE REVISIONS OF THIS LICENSE 821 822 The Free Software Foundation may publish new, revised versions of 823 the GNU Free Documentation License from time to time. Such new 824 versions will be similar in spirit to the present version, but may 825 differ in detail to address new problems or concerns. See 826 `http://www.gnu.org/copyleft/'. 827 828 Each version of the License is given a distinguishing version 829 number. If the Document specifies that a particular numbered 830 version of this License "or any later version" applies to it, you 831 have the option of following the terms and conditions either of 832 that specified version or of any later version that has been 833 published (not as a draft) by the Free Software Foundation. If 834 the Document does not specify a version number of this License, 835 you may choose any version ever published (not as a draft) by the 836 Free Software Foundation. If the Document specifies that a proxy 837 can decide which future versions of this License can be used, that 838 proxy's public statement of acceptance of a version permanently 839 authorizes you to choose that version for the Document. 840 841 11. RELICENSING 842 843 "Massive Multiauthor Collaboration Site" (or "MMC Site") means any 844 World Wide Web server that publishes copyrightable works and also 845 provides prominent facilities for anybody to edit those works. A 846 public wiki that anybody can edit is an example of such a server. 847 A "Massive Multiauthor Collaboration" (or "MMC") contained in the 848 site means any set of copyrightable works thus published on the MMC 849 site. 850 851 "CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0 852 license published by Creative Commons Corporation, a not-for-profit 853 corporation with a principal place of business in San Francisco, 854 California, as well as future copyleft versions of that license 855 published by that same organization. 856 857 "Incorporate" means to publish or republish a Document, in whole or 858 in part, as part of another Document. 859 860 An MMC is "eligible for relicensing" if it is licensed under this 861 License, and if all works that were first published under this 862 License somewhere other than this MMC, and subsequently 863 incorporated in whole or in part into the MMC, (1) had no cover 864 texts or invariant sections, and (2) were thus incorporated prior 865 to November 1, 2008. 866 867 The operator of an MMC Site may republish an MMC contained in the 868 site under CC-BY-SA on the same site at any time before August 1, 869 2009, provided the MMC is eligible for relicensing. 870 871 872ADDENDUM: How to use this License for your documents 873==================================================== 874 875To use this License in a document you have written, include a copy of 876the License in the document and put the following copyright and license 877notices just after the title page: 878 879 Copyright (C) YEAR YOUR NAME. 880 Permission is granted to copy, distribute and/or modify this document 881 under the terms of the GNU Free Documentation License, Version 1.3 882 or any later version published by the Free Software Foundation; 883 with no Invariant Sections, no Front-Cover Texts, and no Back-Cover 884 Texts. A copy of the license is included in the section entitled ``GNU 885 Free Documentation License''. 886 887 If you have Invariant Sections, Front-Cover Texts and Back-Cover 888Texts, replace the "with...Texts." line with this: 889 890 with the Invariant Sections being LIST THEIR TITLES, with 891 the Front-Cover Texts being LIST, and with the Back-Cover Texts 892 being LIST. 893 894 If you have Invariant Sections without Cover Texts, or some other 895combination of the three, merge those two alternatives to suit the 896situation. 897 898 If your document contains nontrivial examples of program code, we 899recommend releasing these examples in parallel under your choice of 900free software license, such as the GNU General Public License, to 901permit their use in free software. 902 903 904File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top 905 9064 Reporting Bugs 907**************** 908 909Bugs in the GCC Quad-Precision Math Library implementation should be 910reported via `http://gcc.gnu.org/bugs.html'. 911 912 913 914Tag Table: 915Node: Top1684 916Node: Typedef and constants2418 917Node: Math Library Routines3858 918Node: I/O Library Routines7662 919Node: strtoflt1287987 920Node: quadmath_snprintf8745 921Node: GNU Free Documentation License10953 922Node: Reporting Bugs36119 923 924End Tag Table 925