How to Transform Sketch points/curves

bartyborris

First, I am very new to FeatureScript, so please be patient.  I need to transform several points in a sketch and have not been able to find any examples or documentation (that I can understand enough to piece together into something useful... yet).  My thought was to simply use the 2D rotation matrix, something like what is shown below (which I know will not work!).  In general, if someone could point me to where I can find examples on how to do linear algebra like operations (e.g. create matrices and multiply them) and transforms on points/lines/curves within a sketch I would greatly appreciate it.  It appears there is lots of functionality (even SVD, which is great!), although I am struggling on how to utilize it. 

// create 2D rotation "matrix"<br>const rotMat = [ [cos(angle), -sin(angle)], [sin(angle), cos(angle)] ];<br><br>// create a 2D "vector"<br>var point1 = vector(0 , 1) * inch;<br>// or maybe:<br>var point1 = [0 * inch, 1 * inch];<br><br>// now rotate/transform the vector with the rotation matrix<br>point1 *= rotMat;

ilya_baran

You got pretty close actually -- here's a working version of your code:

        // create 2D rotation "matrix"
        var angle = 30 * degree;
        const rotMat = [[cos(angle), -sin(angle)], [sin(angle), cos(angle)]] as Matrix;

        // create a 2D "vector"
        var point1 = vector(0, 1) * inch;

        // now rotate/transform the vector with the rotation matrix
        point1 = rotMat * point1;
        
        println(point1);

The first difference is that you have to use "as Matrix" to indicate that rotMat is a matrix and not just an array of arrays of numbers.  The second difference is that the matrix must be to the left of the vector when you multiply them (vectors are treated as column vectors).

bartyborris

Thank you so much.  I was doing:

<br>const rotMat as Matrix = [ [cos(angle), -sin(angle)], [sin(angle), cos(angle)] ];

which does not work.  I knew about the ordering for the matrix and vector, I was just being a little lazy after driving my self nuts trying to figure out what I was doing wrong

kevin_o_toole_1

To clarify a bit, the mechanism making this work is the * operator, which is overloaded in the standard library for multiplying a Matrix and a Vector. When you give your variables the right type tags (in this case, via "as Matrix"), FeatureScript finds the correct overload and runs the right function, which performs matrix multiplication.