--- layout: api title: "v2.0.1 JavaScript Library: L.Transformation" categories: api version: v2.0.1 permalink: /api/v2.0.1/l-transformation ---

## Transformation

Represents an affine transformation: a set of coefficients `a`, `b`, `c`, `d` for transforming a point of a form `(x, y)` into `(a*x + b, c*y + d)` and doing the reverse. Used by Leaflet in its projections code.

    var transformation = new L.Transformation(2, 5, -1, 10),
    	p = L.point(1, 2),
    	p2 = transformation.transform(p), //  L.point(7, 8)
    	p3 = transformation.untransform(p2); //  L.point(1, 2)

### Creation

Creation | Description
--- | ---
`new L.Transformation( <Number> a, <Number> b, <Number> c, <Number> d )` | Creates a transformation object with the given coefficients.

### Methods

Method | Returns | Description
--- | --- | ---
`transform( <Point> point, <Number> scale? )` | `Point` | Returns a transformed point, optionally multiplied by the given scale. Only accepts real `L.Point` instances, not arrays.
`untransform( <Point> point, <Number> scale? )` | `Point` | Returns the reverse transformation of the given point, optionally divided by the given scale. Only accepts real `L.Point` instances, not arrays.