question: public static void renderOrthogonal ( ComplexVector vec1 , ComplexVector vec2 ) { IncompatibleVectorsException . checkVectorsCompatible ( vec1 , vec2 ) ; if ( vec1 . getOpMode ( ) != ComplexVector . Mode . CARTESIAN ) vec1 . toCartesian ( ) ; if ( vec2 . getOpMode ( ) != ComplexVector . Mode . CARTESIAN ) vec2 . toCartesian ( ) ; float [ ] coordinates1 = vec1 . getCoordinates ( ) ; float [ ] coordinates2 = vec2 . getCoordinates ( ) ; double cosine = vec1 . measureHermitianOverlap ( vec2 ) ; for ( int i = 0 ; i < coordinates1 . length ; i ++ ) coordinates1 [ i ] = ( float ) ( coordinates1 [ i ] - cosine * coordinates2 [ i ] ) ; }
target:  Renders  vec1 orthogonal to the corresponding component of vec2 where orthogonality is defined by a hermitian scalar product of 0 (rather than as a mean pairwise cosine between circular vectors of 0) Both vectors are in put into CARTESIAN mode.