Open Access. Powered by Scholars. Published by Universities.®

Theses/Dissertations

Electronic Thesis and Dissertation Repository

Polyhedral set

Articles 1 - 1 of 1

Full-Text Articles in Programming Languages and Compilers

Three Contributions To The Theory And Practice Of Optimizing Compilers, Linxiao Wang Nov 2022

Three Contributions To The Theory And Practice Of Optimizing Compilers, Linxiao Wang

Electronic Thesis and Dissertation Repository

The theory and practice of optimizing compilers gather techniques that, from input computer programs, aim at generating code making the best use of modern computer hardware. On the theory side, this thesis contributes new results and algorithms in polyhedral geometry. On the practical side, this thesis contributes techniques for the tuning of parameters of programs targeting GPUs. We detailed these two fronts of our work below.

Consider a convex polyhedral set P given by a system of linear inequalities A*x <= b, where A is an integer matrix and b is an integer vector. We are interested in the integer hull PI of P which is the smallest convex polyhedral set that contains all the integer points in P. In Chapter …