[whatwg] Canvas arcTo method

Michael Day mikeday at yeslogic.com
Mon Aug 20 20:15:07 PDT 2012

Hi Rik,

> Yes, that is one way of implementing it. This is not specific to arcTo;
> this happens with all drawing operators.

It is not quite the same with other drawing operators, for example:

ctx.lineTo(100, 100);
ctx.lineTo(100, 100);

This will draw a line from T1*(100,100) to T2*(100,100), and these 
points can be calculated immediately in absolute canvas coordinates, 
there is no need to apply any inverse transformations.

For arcTo, it's much less obvious how the arc should be generated from 
the three control points, when the first control point is transformed by 
a different matrix to the last two; in this case you cannot just 
remember the three points in absolute canvas coordinates, but the 
specification does not clarify this.

> I don't know. It just depends how they implemented in. They might apply
> the CTM to all the coordinates or keep the coordinates and pass them
> along with the CTM to the drawing system.

In our case we are rendering to PDF, which cannot change the 
transformation matrix halfway through a path. Even if it could, it does 
not support arc primitives.

But anyway, regardless of the exact details of how the browsers 
implement it, there is the question of how to describe the algorithm to 
someone such that it can be "implemented" with pencil and paper.

Currently it is very non-obvious how arcTo should work when a new 
transform has been applied since the last drawing command.

Best regards,


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