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# The Yoix® Scripting Language

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transform (Number x, Number y) typedict.Matrix
transform (Point p)
transform (Rectangle r)

Uses this matrix to transform the point
(x, y)
to the corresponding point,
(sx*x + shx*y + tx, sy*y + shy*x + ty)
which are the coordinates of the Point returned by transform. When transform is called with a Point as the argument the transformation is applied to
(p.x, p.y)
and the result is returned as the coordinates of a new Point. Two different transformations are applied when transform is called with a Rectangle as the argument. The corner of that rectangle is transformed as described above, the equivalent of dtransform is applied to
(r.width, r.height)
and the two results are combined in a new Rectangle which is the value returned by transform.

The values of sx, shx, tx, sy, shy, and ty used in the transformation are the obtained directly from this matrix. We often refer to this as a transformation from "user space" to "device space", despite the fact that the transformed point may not have anything to do with a physical device, like your screen.
 Example: Here is a simple program, import yoix.stdio.*; Point pt = VM.screen.defaultmatrix.transform(72, 72); printf("horizontal resolution: %.1f\n", pt.x); printf(" vertical resolution: %.1f\n", pt.y); that figures out the resolution of your screen by transforming a point from the default user space describe by VM.screen.defaultmatrix to device space. Return: Point or Rectangle See Also: concat, concatmatrix, currentmatrix, dividematrix, dtransform, Graphics, identmatrix, idtransform, initmatrix, invertmatrix, itransform, maptopixel, rotate, scale, setmatrix, shear, translate

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