Geometric Algebra enhanced Precompiler for C++, OpenCL and Mathematica’s OpenCLLink

نویسندگان

  • Patrick Charrier
  • Mariusz Klimek
  • Christian Steinmetz
  • Dietmar Hildenbrand
چکیده

The focus of this work is a simplified integration of algorithms expressed in Geometric Algebra (GA) into modern high level computer languages, namely C++, OpenCL and CUDA. A high runtime performance in terms of GA is achieved using symbolic simplification and code generation by a precompiler that is directly integrated into CMake-based build toolchains. Finally, we demonstrate how to interface our technology with Mathematica’s OpenCLLink.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Geometric Algebra enhanced Precompiler for C++ and OpenCL

The focus of the this work is a simplified integration of algorithms expressed in Geometric Algebra (GA) in modern high level computer languages, namely C++, OpenCL and CUDA. A high runtime performance in terms of GA is achieved using symbolic simplification and code generation by a Precompiler that is directly integrated into CMake-based build toolchains.

متن کامل

Geometric Algebra Computing Technology for Accelerated Processing Units

Development on embedded devices, even on today’s hardware, limits us to a minimum of third party-library dependencies due to hardware memory and power restrictions. In setups requiring intense geometric operations on limited hardware, such as in robotics, this problem can often lead to a tedious reimplementation of matrix, vector, and quaternion operations. Furthermore, certain unnecessary floa...

متن کامل

Foundations of Geometric Algebra Computing

The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technolog...

متن کامل

GPU-Accelerated Recurrent Neural Networks OpenCLLink and SymbolicC

The paper presents application of OpenCLLink in Wolfram Mathematica to accelerate fully recurrent neural networks using GPU. We also show the idea of automatically generated parts of source code using SymbolicC. Introduction The general purpose graphics processing units (GPU) represent a modern, powerful and cheap parallel platform. Since the neural networks consist of many relatively simple ne...

متن کامل

An Automatic OpenCL Compute Kernel Generator for Basic Linear Algebra Operations

An automatic OpenCL compute kernel generator framework for linear algebra operations is presented. It allows for specifying matrix and vector operations in high-level C++ code, while the low-level details of OpenCL compute kernel generation and handling are dealt with in the background. Our approach releases users from considerable additional effort required for learning the details of programm...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013