The design and analysis of spatial data structures
The design and analysis of spatial data structures
Availability of f2c—a Fortran to C converter
ACM SIGPLAN Fortran Forum
Finding neighbors of equal size in linear quadtrees and octrees in constant time
CVGIP: Image Understanding
LogP: a practical model of parallel computation
Communications of the ACM
Matrix computations (3rd ed.)
Optimizing matrix multiply using PHiPAC: a portable, high-performance, ANSI C coding methodology
ICS '97 Proceedings of the 11th international conference on Supercomputing
Auto-blocking matrix-multiplication or tracking BLAS3 performance from source code
PPOPP '97 Proceedings of the sixth ACM SIGPLAN symposium on Principles and practice of parallel programming
Nonlinear array layouts for hierarchical memory systems
ICS '99 Proceedings of the 13th international conference on Supercomputing
Language support for Morton-order matrices
PPoPP '01 Proceedings of the eighth ACM SIGPLAN symposium on Principles and practices of parallel programming
A recursive formulation of Cholesky factorization of a matrix in packed storage
ACM Transactions on Mathematical Software (TOMS)
Automatically tuned linear algebra software
SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing
A class of data structures for associative searching
PODS '84 Proceedings of the 3rd ACM SIGACT-SIGMOD symposium on Principles of database systems
Recursive Array Layouts and Fast Matrix Multiplication
IEEE Transactions on Parallel and Distributed Systems
QR factorization with Morton-ordered quadtree matrices for memory re-use and parallelism
Proceedings of the ninth ACM SIGPLAN symposium on Principles and practice of parallel programming
Applying recursion to serial and parallel QR factorization leads to better performance
IBM Journal of Research and Development
Fast additions on masked integers
ACM SIGPLAN Notices
Analyzing block locality in Morton-order and Morton-hybrid matrices
MEDEA '06 Proceedings of the 2006 workshop on MEmory performance: DEaling with Applications, systems and architectures
Analyzing block locality in Morton-order and Morton-hybrid matrices
ACM SIGARCH Computer Architecture News
Evaluating ISA support and hardware support for recursive data layouts
HiPC'07 Proceedings of the 14th international conference on High performance computing
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The Opie Project aims to develop a compiler to transform C codes written for row-major matrix representation into equivalent codes for Morton-order matrix representation, and to apply its techniques to other languages. Accepting a possible reduction in performance we seek to compile a library of usable code to support future development of new algorithms better suited to Morton-ordered matrices.This paper reports the formalism behind the OPIE compiler for C, its status: now compiling several standard Level-2 and Level-3 linear algebra operations, and a demonstration of a breakthrough reflected in a huge reduction of L1, L2, TLB misses. Overall performance improves on the Intel Xeon architecture.