Manhattan Distance
Formula:d = |x1 - x2| + |y1 - y2|
Introduction to Manhattan Distance Calculator
The Manhattan distance, also known as Taxicab distance or L1 Norm, is the sum of the absolute differences of their coordinates. It represents the distance between two points in a grid-based path planning by moving only horizontally and vertically, as opposed to diagonally. This metric imitates the reality of traveling in a city arranged in a grid pattern, similar to Manhattan's layout.
Parameter usage:
x1
= x-coordinate of the first pointy1
= y-coordinate of the first pointx2
= x-coordinate of the second pointy2
= y-coordinate of the second point
Output:
d
= Manhattan distance between two points
Data validation
The function will return "Please enter valid numerical coordinates" if any of the inputs are non-numeric.
Summary
This calculator takes into account the coordinates of two points and outputs the Manhattan distance between them, which is practical for determining distance in urban grid-like street layouts.
Tags: Mathematics, Geometry, Distance, Manhattan, Taxicab, 1 Norm