You copied the Doc URL to your clipboard.

Copyright © 2018 Arm Ltd. or its affiliates, Numerical Algorithms Group Ltd. All rights reserved.

Non-Confidential Proprietary Notice

This document is protected by copyright and other related rights and the practice or implementation of the information contained in this document may be protected by one or more patents or pending patent applications. No part of this document may be reproduced in any form by any means without the express prior written permission of Arm. No license, express or implied, by estoppel or otherwise to any intellectual property rights is granted by this document unless specifically stated.

Your access to the information in this document is conditional upon your acceptance that you will not use or permit others to use the information for the purposes of determining whether implementations infringe any third party patents.

THIS DOCUMENT IS PROVIDED “AS IS”. Arm PROVIDES NO REPRESENTATIONS AND NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, INCLUDING, WITHOUT LIMITATION, THE IMPLIED WARRANTIES OF MERCHANTABILITY, SATISFACTORY QUALITY, NON-INFRINGEMENT OR FITNESS FOR A PARTICULAR PURPOSE WITH RESPECT TO THE DOCUMENT.

For the avoidance of doubt, Arm makes no representation with respect to, and has undertaken no analysis to identify or understand the scope and content of, third party patents, copyrights, trade secrets, or other rights.

This document may include technical inaccuracies or typographical errors.

TO THE EXTENT NOT PROHIBITED BY LAW, IN NO EVENT WILL Arm BE LIABLE FOR ANY DAMAGES, INCLUDING WITHOUT LIMITATION ANY DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE, OR CONSEQUENTIAL DAMAGES, HOWEVER CAUSED AND REGARDLESS OF THE THEORY OF LIABILITY, ARISING OUT OF ANY USE OF THIS DOCUMENT, EVEN IF Arm HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.

This document consists solely of commercial items. You shall be responsible for ensuring that any use, duplication or disclosure of this document complies fully with any relevant export laws and regulations to assure that this document or any portion thereof is not exported, directly or indirectly, in violation of such export laws. Use of the word “partner” in reference to Arm’s customers is not intended to create or refer to any partnership relationship with any other company. Arm may make changes to this document at any time and without notice.

If any of the provisions contained in these terms conflict with any of the provisions of any signed written agreement covering this document with Arm, then the signed written agreement prevails over and supersedes the conflicting provisions of these terms. This document may be translated into other languages for convenience, and you agree that if there is any conflict between the English version of this document and any translation, the terms of the English version of the Agreement shall prevail.

Words and logos marked with ® or ™ are registered trademarks or trademarks of Arm Limited or its affiliates in the EU and/or elsewhere. All rights reserved. Other brands and names mentioned in this document may be the trademarks of their respective owners. Please follow Arm’s trademark usage guidelines at http://www.arm.com/about/trademark-usage-guidelines.php

Arm Limited. Company 02557590 registered in England. 110 Fulbourn Road, Cambridge, England CB1 9NJ.

1 Introduction

The Arm Performance Libraries are a set of numerical routines tuned specifically for Arm processors. The routines, which are available via both FORTRAN and C interfaces, include:

  • BLAS - Basic Linear Algebra Subprograms (including XBLAS, the extended precision BLAS);
  • LAPACK - A comprehensive package of higher level linear algebra routines;
  • FFT - a set of Fast Fourier Transform routines for real and complex data;

The BLAS and LAPACK routines provide a portable and standard set of interfaces for common numerical linear algebra operations that allow code containing calls to these routines to be readily ported across platforms. Full documentation for the BLAS and LAPACK are available online. This manual will, therefore, be restricted to providing brief descriptions of the BLAS and LAPACK and providing links to their documentation and other materials (see section The BLAS and see section LAPACK).

The FFT is an implementation of the Discrete Fourier Transform (DFT) that makes use of symmetries in the definition to reduce the number of operations required from O(n*n) to O(n*log n) when the sequence length, $n$, is the product of small prime factors; in particular, when n is a power of 2. Despite the popularity and widespread use of FFT algorithms, the definition of the DFT is not sufficiently precise to prescribe either the forward and backward directions (these are sometimes interchanged), or the scaling factor associated with the forward and backward transforms (the combined forward and backward transforms may only reproduce the original sequence by following a prescribed scaling). See Fast Fourier Transforms.

General Information provides details on:

  • how to link a user program to Arm Performance Libraries;
  • FORTRAN and C interfaces to Arm Performance Libraries routines;
  • how to obtain the Arm Performance Libraries version and build information;
  • how to access the Arm Performance Libraries documentation.
Was this page helpful? Yes No