LatNet Builder Manual

Overview

LatNet Builder is a software library and tool for constructing highly-uniform point sets for quasi Monte-Carlo and randomized quasi Monte-Carlo methods using state-of-the-art techniques. The software can construct rank-1 lattices and digital nets in base 2.

This software is based on a previous version called Lattice Builder. The current version of the software is called LatNet Builder, for Lattice & Net Builder, as it handles both rank-1 lattices and digital nets in base 2.

Manual Outline

• Main features
• Command-Line Tutorial
• LatNet Builder Web Application
• Library Tutorial

Links and publications

• LatNet Builder Home
• LatNet Builder Downloads
• Compiling LatNet Builder

A description of the discrepancies and associated figures of merit, as well as an overview of the types of constructions, weights, and search methods supported by LatNet Builder:

P. L'Ecuyer, P. Marion, M. Godin, and F. Puchhammer. A Tool for Custom Construction of QMC and RQMC Point Sets

The reference for Lattice Builder:

P. L'Ecuyer and D. Munger. LatticeBuilder: A General Software Tool for Constructing Rank-1 Lattice Rules. ACM Trans. Math. Softw. 42, 2, Article 15 (May 2016), 30 pages.

The algorithm for the computation of the t-value used in LatNet Builders:

P. Marion, M. Godin, and P. L'Ecuyer. An algorithm to compute the t-value of a digital net and of its projections Journal of Computational and Applied Mathematics, volume 371, paper 112669 (June 2020).