calculate screen pos -> pos on rotated wxBitmap

[mael15]

I draw a rotated wxBitmap. Is there a function to calculate where on the rotated wxBitmap the mousePos is? Something to give the rotation parameters that transforms the position on screen to the position within the rotated bitmap?
I think I have seen something like this a while ago but cannot find it anymore.

PS: I know I can do this by hand, but it would be nice not to have to...

[New Pagodi]

To rotate an image by angle α about a point P(x0,y0), you

1. translate by (-x0,-y0)
2. perform the rotation
3. translate back by (x0,y0)

So if you have an image that has already been rotated about a point and you want to get the original point, you just undo those operations:

1. translate by (-x0,-y0) [this undoes step 3 above]
2. perform the rotation by -α [this undoes step 2 above]
3. translate back by (x0,y0) [this undoes step 1 above]

In wxWidgets, you can use wxAffineMatrix2D to do the math for you. If you have your wxPoint p over the rotated image (how you get that point is up to you), you can compute the point that corresponds to this in the original image like so:

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wxPoint p = ...;
wxPoint2DDouble p2(p);

wxAffineMatrix2D mat;
mat.Translate(x0, y0);
mat.Rotate(-alpha*M_PI/180.0);
mat.Translate(-x0, -y0);

wxPoint2DDouble p3 = mat.TransformPoint(p2);

p3 will point in the original image.

[alys666]

p3 will point in the original image.

transformation matrix A transforms coordinates from Space to Space';
when inverted matrix A' transforms coordinates from Space' to Space;
so if you have matrix

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wxAffineMatrix2D mat;

then

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wxAffineMatrix2D matInversed = mat;
matInversed.Inverse();

will be a backward transformation matrix .