CanvasRenderingContext2D: setTransform() method

setTransform(a, b, c, d, e, f)
setTransform(matrix)

The transformation matrix is described by: $\left[ \begin{array}{ccc} a & c & e \ b & d & f \ 0 & 0 & 1 \end{array} \right]$.

This transformation matrix gets multiplied on the left of a column vector representing each point being drawn on the canvas, to produce the final coordinate used on the canvas.

setTransform() accepts two types of parameters. The older type consists of several parameters representing the individual components of the transformation matrix to set:

a (m11)

The cell in the first row and first column of the matrix.

b (m12)

The cell in the second row and first column of the matrix.

c (m21)

The cell in the first row and second column of the matrix.

d (m22)

The cell in the second row and second column of the matrix.

e (m41)

The cell in the first row and third column of the matrix.

f (m42)

The cell in the second row and third column of the matrix.

Alternatively, you can pass a single parameter which is an object containing the values above as properties. The parameter names are the property keys, and if two synonymous names are both present (e.g. m11 and a), they must be the same number value, or a TypeError will be thrown. Using the object form allows omitting some parameters — a and d default to 1, while the rest default to 0.

If a point originally had coordinates $(x, y)$, then after the transformation it will have coordinates $(ax + cy + e, bx + dy + f)$. This means:

• e and f control the horizontal and vertical translation of the context.
• When b and c are 0, a and d control the horizontal and vertical scaling of the context.
• When a and d are 1, b and c control the horizontal and vertical skewing of the context.

None (undefined).

This example skews a rectangle both vertically (.2) and horizontally (.8). Scaling and translation remain unchanged.

HTML

<canvas id="canvas"></canvas>

JavaScript

const canvas = document.getElementById("canvas");
const ctx = canvas.getContext("2d");

ctx.setTransform(1, 0.2, 0.8, 1, 0, 0);
ctx.fillRect(0, 0, 100, 100);

Result

In the following example, we have two <canvas> elements. We apply a transform to the first one's context using the first type of setTransform() and draw a square on it, then retrieve the matrix from it using CanvasRenderingContext2D.getTransform().

We then apply the retrieved matrix directly to the second canvas context by passing the DOMMatrix object directly to setTransform() (i.e. the second type), and draw a circle on it.

HTML

<!-- First canvas (ctx1) -->
<canvas width="240"></canvas>
<!-- Second canvas (ctx2) -->
<canvas width="240"></canvas>

CSS

canvas {
  border: 1px solid black;
}

JavaScript

const canvases = document.querySelectorAll("canvas");
const ctx1 = canvases[0].getContext("2d");
const ctx2 = canvases[1].getContext("2d");

ctx1.setTransform(1, 0.2, 0.8, 1, 0, 0);
ctx1.fillRect(25, 25, 50, 50);

let storedTransform = ctx1.getTransform();
console.log(storedTransform);

ctx2.setTransform(storedTransform);
ctx2.beginPath();
ctx2.arc(50, 50, 50, 0, 2 * Math.PI);
ctx2.fill();

Result

• The interface defining this method: CanvasRenderingContext2D
• CanvasRenderingContext2D.transform()