Routine Name: infNormAbsoluteError

Author: Andrew Aposhian

Language: C++

To use this function, include the correct header file at the top of your file as follows:

#include "VectorNorms.hpp"

Description/Purpose: The purpose of this function is to take two Vector<double>objects and return the absolute error between them using the infinity-norm.

Input:

  1. x : a Vector of doubles
  2. y : a Vector of doubles

Output: A double representing the absolute error between the two input Vector objects.

Usage/Example: The example below shows creating two random 2D vectors then printing the result of infNormAbsoluteError when using these vectors as arguments.

std::cout << "random vec y: " << std::endl;
Vector<double>* y = new Vector<double>(2);
y->makeRandom();
y->print();

std::cout << "random vec yHat: " << std::endl;
Vector<double>* yHat = new Vector<double>(2);
yHat->makeRandom();
yHat->print();

std::cout << "infNormAbsoluteError: " << std::endl;
std::cout << infNormAbsoluteError(*y, *yHat) << std::endl;

Output from lines above:

random vec y: 
0.916321
0.606735
random vec yHat: 
0.390218
0.39075
infNormAbsoluteError: 
0.526103

Implementation/Code: See VectorNorms.cpp on GitHub

double infNormAbsoluteError(Vector<double>& x, Vector<double>& y) {
    std::function<double(const double, const double)> scalarError = absoluteError;
    std::function<double(Vector<double>&)> norm = infNorm;
    return vectorError(x, y, scalarError, norm);
}

Last Modified: February/2019