CGSizeAspectFit & CGSizeAspectFill from http://stackoverflow.com/a/17948778

CGSizeAspect.m

CGSize CGSizeAspectFit(CGSize aspectRatio, CGSize boundingSize)
{
    float mW = boundingSize.width / aspectRatio.width;
    float mH = boundingSize.height / aspectRatio.height;
    if( mH < mW )
        boundingSize.width = boundingSize.height / aspectRatio.height * aspectRatio.width;
    else if( mW < mH )
        boundingSize.height = boundingSize.width / aspectRatio.width * aspectRatio.height;
    return boundingSize;
}

CGSize CGSizeAspectFill(CGSize aspectRatio, CGSize minimumSize)
{
    float mW = minimumSize.width / aspectRatio.width;
    float mH = minimumSize.height / aspectRatio.height;
    if( mH > mW )
        minimumSize.width = minimumSize.height / aspectRatio.height * aspectRatio.width;
    else if( mW > mH )
        minimumSize.height = minimumSize.width / aspectRatio.width * aspectRatio.height;
    return minimumSize;
}