ISO/IEC INTERNATIONAL STANDARD 24747 First edition 2009-01-15 Information technology Programming languages, their environments and system software interfaces Extensions to the C Library to support mathematical special functions Technologies de I'information Langages de programmation, leur environnement et interfaces des logiciels de systemes - Extensionsa la bibliotheque C pour supporter les fonctions mathematiques speciales Reference number ISO/IEC 24747:2009(E) IEC @ISO/IEC2009 y IHS under I without license from IHS Not for Resale ISO/IEC 24747:2009(E) PDF disclaimer This PDF file may contain embedded typefaces. In accordance with Adobe's licensing policy, this file may be printed or viewed but shall not be edited unless the typefaces which are embedded are licensed to and installed on the computer performing the editing. In accepts no liability in this area. Adobe is a trademark of Adobe Systems Incorporated. Details of the software products used to create this PDF file can be found in the General Info relative to the file; the PDF-creation parameters were optimized for printing. Every care has been taken to ensure that the file is suitable for use by IsO member bodies. In the unlikely event that a problem relating to it is found, please inform the Central Secretariat at the address given below COPYRIGHTPROTECTEDDOCUMENT @ ISO/IEC2009 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, IsO's member body in the country of the requester. ISO copyright office Case postale 56. CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail [email protected] Web www.iso.org Published in Switzerland @ ISO/IEC 2009 - All rights reserved ed without license from IHS Not for Resale ISO/IEC 24747:2009(E) Contents Contents ii List of Tables V Foreword vi Introduction vii 1 Scope 1 1.1 Relation to C Standard Library Introduction 1 1.2 Categories of extensions 1 2 Normative references 3 3 Terms, definitions, and symbols 5 4 Conformance 7 5 Predefined macro names 9 6 Mathematical special functions 11 6.1 Standard headers 11 6.2 Additions to header <math.h> 11 6.2.1 associated Laguerre polynomials 14 6.2.2 associated Legendre polynomials 14 6.2.3 beta function 15 6.2.4 (complete) elliptic integral of the first kind 15 6.2.5 (complete) elliptic integral of the second kind 15 6.2.6 (complete) elliptic integral of the third kind 16 6.2.7 regular modified cylindrical Bessel functions 16 6.2.8 cylindrical Bessel functions (of the first kind) 16 6.2.9 irregular modified cylindrical Bessel functions 17 6.2.10 cylindrical Neumann functions 17 6.2.11 (incomplete) elliptic integral of the first kind 17 6.2.12 (incomplete) elliptic integral of the secondkind 18 CoaeaonalaEanaaon ll rights reserved ii No reprod n or networking permitt ed without license from IHS Not for Resale