(Feature Request) - Convert to polar (phasor) notation in CAS

[Dands]

(03-31-2020 12:31 PM)victorvbc Wrote:  This is the code I made for displaying polar coordinates {magnitude,angle}, it works with matrices and lists.

I'm also quite new to the Prime, so I don't know if there's any better way to do it...

Code:


//This program takes an expression or matrix and turns it into polar coordinates
#cas
toPolar(z):= 
BEGIN
LOCAL sizes,j,k;

IF type(z)=DOM_LIST THEN //check if is list/matrix
  sizes:=SIZE(z); //get dimension of rows and columns
  IF size(sizes)=1 THEN //row vector
    FOR j FROM 1 to sizes DO
      z[j]:=convert_polar(z[j]); //convert each element to polar
    END;
  ELSE //column vector or matrix
    FOR j FROM 1 to sizes(1) DO
      FOR k FROM 1 to sizes(2) DO
        z[j,k]:=convert_polar(z[j,k]); //convert each element to polar
      END; 
    END;
  END;
ELSE
  z:=convert_polar(z); //single element
END;

RETURN z;
END;

convert_polar(x):=
BEGIN
  RETURN simplify({ABS(x),ARG(x)}); //conversion formula
END;

#end

Keep in mind that it's purely for display purposes, you can't make any operations with this format.

Also, if you want to convert any expressions that have real-valued variables, you should do something like assume(x,float) before doing the conversion. Otherwise you can have very complicated expressions.

This program works great, however, it's showing angles in radians. It might be because you're using the convert_polar function which is based in rad. Is there a way to modify it so that it uses the system's preferred angle output? I mostly need my angles in degrees.

Thank you!