Get just the scaling transformation out of CGAffineTransform

objective-c math cgaffinetransform
Marin Todorov picture Marin Todorov · Apr 22, 2010 · Viewed 20.5k times · Source

I found a similar question about getting just the rotation, but as I understand scaling and rotating work different in the transform matrix.

Matrixes are not my strength, so if anybody would hint me how to get only the scaling out of a CGAffineTransform I'd greatly appreciate.

btw. I tried applying the CGAffineTransform on a CGSize and then get the height x width to see how much it scaled, but height x width have strange values (depending on the rotation found in the CGAffineTransform, so ... hm that does not work)

Answer

Isaac picture Isaac · Apr 22, 2010

Assuming that the transformation is a scaling followed by a rotation (possibly with a translation in there, but no skewing) the horizontal scale factor is sqrt(a^2+c^2), the vertical scale factor is sqrt(b^2+d^2), and the ratio of the horizontal scale factor to the vertical scale factor should be a/d = -c/b, where a, b, c, and d are four of the six members of the CGAffineTransform, per the documentation (tx and ty only represent translation, which does not affect the scale factors).

|  a  b 0 |
|  c  d 0 |
| tx ty 1 |

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