Struct Manhattan
Manhattan (also known as Taxicab or L1) distance.
Implements
Namespace: ISynergy.Framework.Mathematics.Distances
Assembly: ISynergy.Framework.Mathematics.dll
Syntax
public struct Manhattan : IMetric<double[]>, IDistance<double[]>, IDistance<double[], double[]>, IMetric<int[]>, IDistance<int[]>, IDistance<int[], int[]>Remarks
Taxicab geometry, considered by Hermann Minkowski in 19th century Germany, is a form of geometry in which the usual distance function of metric or Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates. The taxicab metric is also known as rectilinear distance, L1 distance or L1 norm (see Lp space), city block distance, Manhattan distance, or Manhattan length, with corresponding variations in the name of the geometry. The latter names allude to the grid layout of most streets on the island of Manhattan, which causes the shortest path a car could take between two intersections in the borough to have length equal to the intersections' distance in taxicab geometry.
References:
Methods
View SourceClone()
Creates a new object that is a copy of the current instance.
Declaration
public object Clone()Returns
| Type | Description |
|---|---|
| System.Object | A new object that is a copy of this instance. |
Distance(Double[], Double[])
Computes the distance d(x,y) between points
x and y.
Declaration
public double Distance(double[] x, double[] y)Parameters
| Type | Name | Description |
|---|---|---|
| System.Double[] | x | The first point |
| System.Double[] | y | The second point |
Returns
| Type | Description |
|---|---|
| System.Double | A double-precision value representing the distance |
Distance(Int32[], Int32[])
Computes the distance d(x,y) between points
x and y.
Declaration
public double Distance(int[] x, int[] y)Parameters
| Type | Name | Description |
|---|---|---|
| System.Int32[] | x | The first point |
| System.Int32[] | y | The second point |
Returns
| Type | Description |
|---|---|
| System.Double | A double-precision value representing the distance |