The AMD Core Math Library (ACML) is a set of numerical routines tuned specifically for AMD64 platform processors (including Opteron(TM) and Athlon(TM) 64 ). The routines, which are available via both FORTRAN 77 and C interfaces, include:
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 The BLAS and see 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).
Currently, there is no agreed standard API for FFT routines. Hardware vendors usually provide a set of high performance FFTs optimized for their systems: no two vendors employ the same interfaces for their FFT routines. The ACML provides a set of FFT routines, optimized for AMD64 processors, using an ACML-specific set of interfaces. The functionality, interfaces and use of the ACML FFT routines are described below (see Fast Fourier Transforms).
The RNG is a comprehensive set of statistical distribution functions which are founded on various underlying uniform distribution generators (base generators) including Wichmann-Hill and an implementation of the Mersenne Twister. In addition there are hooks which allow you to supply your own preferred base generator if it is not already included in ACML. All RNG functionality and interfaces are described below (see Random Number Generators).
General Information provides details on:
A supplementary library of fast math and fast vector math functions (ACML_MV) is also provided with some 64-bit versions of ACML. Some of the functions included in ACML_MV are not callable from high-level languages, but must be called via assembly language; the documentation of ACML_MV (see Fast Vector Math Library) gives details for each individual routine.