File: eigenvectors_spec.rb

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require_relative '../../../spec_helper'

ruby_version_is ""..."3.1" do
  require 'matrix'

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

    it "returns an array of real eigenvectors for a symmetric matrix" do
      # Fix me: should test for linearity, not for equality
      Matrix[[1, 2],
             [2, 1]].eigensystem.eigenvectors.should ==
      [ Vector[0.7071067811865475, -0.7071067811865475],
        Vector[0.7071067811865475, 0.7071067811865475]
      ]
    end
  end
end