How-to Guides

This page contains a series of guides on how to carry out routine numerical tasks with polynomials in Minterpy as well as demonstrating important features of the main components of Minterpy.

Numerical tasks

This collection of guides demonstrates how to solve common computational problems using Minterpy. They provide neither motivation nor broader context; the guides assume you know what you want to do and focus on how to do it.

• Integration
  • Integrate a One-Dimensional Polynomial
  • Integrate an M-Dimensional Polynomial

Minterpy components

This collection of guides provides an example-driven exploration of individual objects and core building-blocks of Minterpy. These guides are intended for advanced users and developers who want to deepen their understanding of Minterpy internals prior to modification or extension.

• Multi-index Set
  • Create a Multi-Index Set
  • Add Exponents to a Multi-Index Set
  • Check for Equality in Value
  • Check for Membership (Containment)
  • Compare Multi-Index Sets
  • Make a Multi-Index Set Complete
  • Make a Multi-Index Set Downward-Closed
  • Create the Union of Multi-Index Sets
  • Multiply Multi-Index Sets
  • Create an Empty Multi-Index Set
• Domain
  • Create with Bounds
  • Create with Uniform Bounds
  • Create with Internal Bounds
  • Map Values from and to Internal Domain
  • Compute Integration Scaling Factor
  • Compute Differentiation Scaling Factor
  • Check whether Points Lie within the Domain
  • Check for Equality in Value
  • Check for Partial Matching
  • Create the Union of Domain
• Grid
  • Create with a generating function
  • Create with an array of generating points
  • Create with an array of generating values
  • Create with a complete multi-index set
  • Create using the default constructor
  • Evaluate a Function on a Grid
  • Multiply Grids
  • Create the Union of Grids
  • Add Elements of a Multi-Index Set to a Grid
  • Make a Grid complete
  • Make a Grid downward-closed