Vector Mathematical Functions

Intel® MKL Vector Mathematical Functions Library (VML) computes a mathematical function of each of the vector elements. VML includes a set of highly optimized functions (arithmetic, power, trigonometric, exponential, hyperbolic, special, and rounding) that operate on vectors of real and complex numbers.

Application programs that improve performance with VML include nonlinear programming software, computation of integrals, financial calculations, computer graphics, and many others.

VML functions fall into the following groups according to the operations they perform:

VML Mathematical Functions compute values of mathematical functions, such as sine, cosine, exponential, or logarithm, on vectors stored contiguously in memory.
VML Pack/Unpack Functions convert to and from vectors with positive increment indexing, vector indexing, and mask indexing (see Appendix "Vector Arguments in VML" for details on vector indexing methods).
VML Service Functions set/get the accuracy modes and the error codes.

The VML mathematical functions take an input vector as an argument, compute values of the respective function element-wise, and return the results in an output vector. All the VML mathematical functions can perform in-place operations, where the input and output arrays are at the same memory locations.

The Intel MKL interfaces are given in the following include files:

mkl_vml.f77, which declares the FORTRAN 77 interfaces
mkl_vml.f90, which declares the Fortran 90 interfaces; the mkl_vml.fi include file available in the previous versions of Intel MKL is retained for backward compatibility
mkl_vml_functions.h, which declares the C interfaces

The following directories provide examples that demonstrate how to use the VML functions:

${MKL}/examples/vmlc/source

${MKL}/examples/vmlf/source

See VML performance and accuracy data in the online VML Performance and Accuracy Data document available at http://software.intel.com/en-us/articles/intel-math-kernel-library-documentation/

Optimization Notice
The Intel® Math Kernel Library (Intel® MKL) contains functions that are more highly optimized for Intel microprocessors than for other microprocessors. While the functions in Intel® MKL offer optimizations for both Intel and Intel-compatible microprocessors, depending on your code and other factors, you will likely get extra performance on Intel microprocessors. While the paragraph above describes the basic optimization approach for Intel® MKL as a whole, the library may or may not be optimized to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include Intel® Streaming SIMD Extensions 2 (Intel® SSE2), Intel® Streaming SIMD Extensions 3 (Intel® SSE3), and Supplemental Streaming SIMD Extensions 3 (Intel® SSSE3) instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Intel recommends that you evaluate other library products to determine which best meets your requirements.

Optimization Notice

The Intel® Math Kernel Library (Intel® MKL) contains functions that are more highly optimized for Intel microprocessors than for other microprocessors. While the functions in Intel® MKL offer optimizations for both Intel and Intel-compatible microprocessors, depending on your code and other factors, you will likely get extra performance on Intel microprocessors.

While the paragraph above describes the basic optimization approach for Intel® MKL as a whole, the library may or may not be optimized to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include Intel® Streaming SIMD Extensions 2 (Intel® SSE2), Intel® Streaming SIMD Extensions 3 (Intel® SSE3), and Supplemental Streaming SIMD Extensions 3 (Intel® SSSE3) instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors.

Intel recommends that you evaluate other library products to determine which best meets your requirements.