require File.expand_path('../../../../spec_helper', __FILE__)
require 'matrix'

describe "Matrix::EigenvalueDecomposition#eigenvector_matrix" do
  it "returns a complex eigenvector matrix given a rotation matrix" do
    # Fix me: should test for linearity, not for equality
    Matrix[[ 1, 1],
           [-1, 1]].eigensystem.eigenvector_matrix.should ==
    Matrix[[1, 1],
           [Complex(0, 1), Complex(0, -1)]]
  end

  it "returns an real eigenvector matrix for a symetric matrix" do
    # Fix me: should test for linearity, not for equality
    Matrix[[1, 2],
           [2, 1]].eigensystem.eigenvector_matrix.should ==
    Matrix[[0.7071067811865475, 0.7071067811865475],
           [-0.7071067811865475, 0.7071067811865475]]
  end
end