Accord.NET Framework

## Euclidean Structure |

Euclidean distance metric.

Syntax

[SerializableAttribute] public struct Euclidean : IMetric<double>, IDistance<double>, IDistance<double, double>, ISimilarity<double>, ISimilarity<double, double>, IMetric<double[]>, IDistance<double[]>, IDistance<double[], double[]>, ISimilarity<double[]>, ISimilarity<double[], double[]>, IMetric<Tuple<double, double>>, IDistance<Tuple<double, double>>, IDistance<Tuple<double, double>, Tuple<double, double>>, ISimilarity<Tuple<double, double>>, ISimilarity<Tuple<double, double>, Tuple<double, double>>, IDistance<Sparse<double>>, IDistance<Sparse<double>, Sparse<double>>, ISimilarity<Sparse<double>>, ISimilarity<Sparse<double>, Sparse<double>>

The Euclidean type exposes the following members.

Methods

Name | Description | |
---|---|---|

Distance(Double, Double) |
Computes the distance d(x,y) between points
x and y.
| |

Distance(Double, Double) |
Computes the distance d(x,y) between points
x and y.
| |

Distance(TupleDouble, Double, TupleDouble, Double) |
Gets the Euclidean distance between two points.
| |

Distance(SparseDouble, SparseDouble) |
Computes the distance d(x,y) between points
x and y.
| |

Distance(Double, Double, Double, Double) |
Gets the Euclidean distance between two points. Note: this function
is dangerous as it is too easy to invert its arguments by mistake.
Please consider using the Tuple<double, double> overload instead.
| |

Equals | Indicates whether this instance and a specified object are equal. (Inherited from ValueType.) | |

GetHashCode | Returns the hash code for this instance. (Inherited from ValueType.) | |

GetType | Gets the Type of the current instance. (Inherited from Object.) | |

Similarity(Double, Double) |
Gets a similarity measure between two points.
| |

Similarity(Double, Double) |
Gets a similarity measure between two points.
| |

Similarity(TupleDouble, Double, TupleDouble, Double) |
Gets a similarity measure between two points.
| |

Similarity(SparseDouble, SparseDouble) |
Gets a similarity measure between two points.
| |

ToString | Returns the fully qualified type name of this instance. (Inherited from ValueType.) |

Extension Methods

Name | Description | |
---|---|---|

HasMethod |
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.) | |

IsEqual |
Compares two objects for equality, performing an elementwise
comparison if the elements are vectors or matrices.
(Defined by Matrix.) | |

To(Type) | Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) | |

ToT | Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) |

Examples

// Let's say the coordinates of the first 2D vector are double x1 = 1.5; double y1 = -2.1; // And then the coordinates of the second 2D vector are: double x2 = 4; double y2 = 1; // The euclidean distance between (x1, y1) and (x2, y2) are: double a = Distance.Euclidean(x1, y1, x2, y2); // should be ~3.9824615503479754 // This is equivalent to double b = Distance.Euclidean(new[] { x1, y1 }, new[] { x2, y2 });

See Also