eigen/doc/I05_FixedSizeVectorizable.dox
Gael Guennebaud 44a527dfa5 * classify and sort the doxygen "related pages"
by tweaking the filename and adding 2 categories:
   Troubleshooting and Advanced
* use the EXCLUDE_SYMBOLS to clean the class list
  (insteaded of a homemade bash script)
* remove the broken "exemple list"
* re-structure the unsupported directory as mentionned in the ML and
  integrate the doc as follow:
  - snippets of the unsupported directory are directly imported from the
    main snippets/CMakefile.txt (no need to duplicate code)
  - add a top level "Unsupported modules" group
  - unsupported modules have to defined their own sub group and nest it
    using \ingroup Unsupported_modules
  - then a pair of //@{ //@} will put everything in the submodule
  - this is just a proposal !
2009-02-04 09:44:44 +00:00

39 lines
1.6 KiB
Plaintext

namespace Eigen {
/** \page FixedSizeVectorizable Advanced - Fixed-size vectorizable Eigen objects
The goal of this page is to explain what we mean by "fixed-size vectorizable".
\section summary Executive Summary
An Eigen object is called "fixed-size vectorizable" if it has fixed size and that size is a multiple of 16 bytes.
Examples include:
\li Eigen::Vector2d
\li Eigen::Vector4d
\li Eigen::Vector4f
\li Eigen::Matrix2d
\li Eigen::Matrix2f
\li Eigen::Matrix4d
\li Eigen::Matrix4f
\li Eigen::Transform3d
\li Eigen::Transform3f
\li Eigen::Quaterniond
\li Eigen::Quaternionf
\section explanation Explanation
First, "fixed-size" should be clear: an Eigen object has fixed size if its number of rows and its number of columns are fixed at compile-time. So for example Matrix3f has fixed size, but MatrixXf doesn't (the opposite of fixed-size is dynamic-size).
The array of coefficients of a fixed-size Eigen object is a plain "static array", it is not dynamically allocated. For example, the data behind a Matrix4f is just a "float array[16]".
Fixed-size objects are typically very small, which means that we want to handle them with zero runtime overhead -- both in terms of memory usage and of speed.
Now, vectorization (both SSE and AltiVec) works with 128-bit packets. Moreover, for performance reasons, these packets need to be have 128-bit alignment.
So it turns out that the only way that fixed-size Eigen objects can be vectorized, is if their size is a multiple of 128 bits, or 16 bytes. Eigen will then request 16-byte alignment for these object, and henceforth rely on these objects being aligned so no runtime check for alignment is performed.
*/
}