ISO/IEC INTERNATIONAL STANDARD 23002-1 First edition 2006-12-01 Information technology MPEG video technologies - Part 1: Accuracy requirements for implementation of integer-output 8x8 inverse discrete cosine transform Technologies de l'information- Technologies vidéo MPEG- Partie 1: Exigences d'exactitude pour Il'implémentation de la transformation cosinus inverse discrete de sortie du nombre entier 8x8 Reference number ISO/IEC 23002-1:2006(E) IEC ISO @ISO/IEC2006 HS under I without license from IHS Not for Resale ISO/IEC 23002-1:2006(E) PDFdisclaimer 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 fle 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. ?ISO/IEC2006 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 2006 - All rights reserved ermittedwithoutlicense from IHS Not for Resale ISO/IEC 23002-1:2006(E) Contents Page Foreword. ..iv 1 Scope 2 Terms and definitions 3 Abbreviations and symbols.... 3.1 Abbreviations... 3.2 Symbols. Conventions 4.1 Arithmetic operators 4.2 Logical operators. 4.3 Relational operators ... 4.4 Bit-wise operators...... 4.5 Assignmentoperators.. 4.6 Mathematical functions. 4.7 Range notation.. 4.8 Hexadecimalnotation 5 IDcT accuracy specification... 5.1 Idealreal-valued8x8forwardDCT 5.2 Ideal integer-valued 8x8 forward DcT 5.3 Ideal real-valued 8x8 inverse DcT.. .5 5.4 Idealinteger-valued8x8inverseDcT. 5.5 Integer-output IDcT accuracy testing procedure and requirements . Annex A (normative) Additional test of near-Dc inversion behaviour.. Annex B (normative) Additional pseudo-random input data tests .. Bibliography. 11 Copyright internatinal organizaio for standardizalion All rights reserved ii THS unde e with ted without license from IHS Not for Resale ISO/IEC 23002-1:2006(E) Foreword IsO (the International Organization for Standardization) and IEC (the International Electrotechnical Commission)formthespecializedsystemforworldwidestandardization.Nationalbodiesthataremembersof ISO or IEC participate in the development of International Standards through technical committees established by the respective organization to deal with particular fields of technical activity. ISO and IEC technical committees collaborate in fields of mutual interest. Other international organizations, governmental and non-governmental, in liaison with ISO and IEC, also take part in the work. In the field of information technology, ISO and IEC have established a joint technical committee, ISO/IEC JTC 1. International Standards are drafted in accordance with the rules given in the ISO/lEC Directives, Part 2. The main task of the joint technical committee is to prepare International Standards. Draft International Standards adopted by the joint technical committee are circulated to national bodies for voting. Publication as an International Standard requires approval by at least 75 % of the national bodies casting a vote. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO and IEC shall not be held responsible for iden