* test/matrix/test_matrix.rb, test/matrix/test_vector.rb: add some

  tests.

git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@26450 b2dd03c8-39d4-4d8f-98ff-823fe69b080e

1 files changed, 302 insertions, 0 deletions

diff --git a/test/matrix/test_matrix.rb b/test/matrix/test_matrix.rb
index 6b9b587c6d..526d7a3124 100644
--- a/test/matrix/test_matrix.rb
+++ b/test/matrix/test_matrix.rb
@@ -10,6 +10,15 @@ class TestMatrix < Test::Unit::TestCase
     @n1 = Matrix[[2,3,4], [5,6,7]]
   end
 
+  def test_matrix
+    assert_equal(1, @m1[0, 0])
+    assert_equal(2, @m1[0, 1])
+    assert_equal(3, @m1[0, 2])
+    assert_equal(4, @m1[1, 0])
+    assert_equal(5, @m1[1, 1])
+    assert_equal(6, @m1[1, 2])
+  end
+
   def test_identity
     assert_same @m1, @m1
     assert_not_same @m1, @m2
@@ -153,4 +162,297 @@ class TestMatrix < Test::Unit::TestCase
     assert_equal(45, Matrix[[7,6], [3,9]].determinant)
     assert_equal(-18, Matrix[[2,0,1],[0,-2,2],[1,2,3]].determinant)
   end
+
+  def test_new_matrix
+    assert_raise(TypeError) { Matrix[Object.new] }
+    o = Object.new
+    def o.to_ary; [1,2,3]; end
+    assert_equal(@m1, Matrix[o, [4,5,6]])
+  end
+
+  def test_rows
+    assert_equal(@m1, Matrix.rows([[1, 2, 3], [4, 5, 6]]))
+  end
+
+  def test_columns
+    assert_equal(@m1, Matrix.columns([[1, 4], [2, 5], [3, 6]]))
+  end
+
+  def test_diagonal
+    assert_equal(Matrix[[3,0,0],[0,2,0],[0,0,1]], Matrix.diagonal(3, 2, 1))
+    assert_equal(Matrix[[4,0,0,0],[0,3,0,0],[0,0,2,0],[0,0,0,1]], Matrix.diagonal(4, 3, 2, 1))
+  end
+
+  def test_scalar
+    assert_equal(Matrix[[2,0,0],[0,2,0],[0,0,2]], Matrix.scalar(3, 2))
+    assert_equal(Matrix[[2,0,0,0],[0,2,0,0],[0,0,2,0],[0,0,0,2]], Matrix.scalar(4, 2))
+  end
+
+  def test_identity2
+    assert_equal(Matrix[[1,0,0],[0,1,0],[0,0,1]], Matrix.identity(3))
+    assert_equal(Matrix[[1,0,0],[0,1,0],[0,0,1]], Matrix.unit(3))
+    assert_equal(Matrix[[1,0,0],[0,1,0],[0,0,1]], Matrix.I(3))
+    assert_equal(Matrix[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]], Matrix.identity(4))
+  end
+
+  def test_zero
+    assert_equal(Matrix[[0,0,0],[0,0,0],[0,0,0]], Matrix.zero(3))
+    assert_equal(Matrix[[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]], Matrix.zero(4))
+    assert_equal(Matrix[[0]], Matrix.zero(1))
+  end
+
+  def test_row_vector
+    assert_equal(Matrix[[1,2,3,4]], Matrix.row_vector([1,2,3,4]))
+  end
+
+  def test_column_vector
+    assert_equal(Matrix[[1],[2],[3],[4]], Matrix.column_vector([1,2,3,4]))
+  end
+
+  def test_empty
+    m = Matrix.empty(2, 0)
+    assert_equal(Matrix[ [], [] ], m)
+    n = Matrix.empty(0, 3)
+    assert_equal(Matrix.columns([ [], [], [] ]), n)
+    assert_equal(Matrix[[0, 0, 0], [0, 0, 0]], m * n)
+  end
+
+  def test_row
+    assert_equal(Vector[1, 2, 3], @m1.row(0))
+    assert_equal(Vector[4, 5, 6], @m1.row(1))
+    a = []; @m1.row(0) {|x| a << x }
+    assert_equal([1, 2, 3], a)
+  end
+
+  def test_column
+    assert_equal(Vector[1, 4], @m1.column(0))
+    assert_equal(Vector[2, 5], @m1.column(1))
+    assert_equal(Vector[3, 6], @m1.column(2))
+    a = []; @m1.column(0) {|x| a << x }
+    assert_equal([1, 4], a)
+  end
+
+  def test_collect
+    assert_equal(Matrix[[1, 4, 9], [16, 25, 36]], @m1.collect {|x| x ** 2 })
+  end
+
+  def test_minor
+    assert_equal(Matrix[[1, 2], [4, 5]], @m1.minor(0..1, 0..1))
+    assert_equal(Matrix[[2], [5]], @m1.minor(0..1, 1..1))
+    assert_equal(Matrix[[4, 5]], @m1.minor(1..1, 0..1))
+    assert_equal(Matrix[[1, 2], [4, 5]], @m1.minor(0, 2, 0, 2))
+    assert_equal(Matrix[[4, 5]], @m1.minor(1, 1, 0, 2))
+    assert_equal(Matrix[[2], [5]], @m1.minor(0, 2, 1, 1))
+    assert_raise(ArgumentError) { @m1.minor(0) }
+  end
+
+  def test_regular?
+    assert(Matrix[[1, 0], [0, 1]].regular?)
+    assert(Matrix[[1, 0, 0], [0, 1, 0], [0, 0, 1]].regular?)
+    assert(!Matrix[[1, 0, 0], [0, 0, 1], [0, 0, 1]].regular?)
+    assert(!Matrix[[1, 0, 0], [0, 1, 0]].regular?)
+  end
+
+  def test_singular?
+    assert(!Matrix[[1, 0], [0, 1]].singular?)
+    assert(!Matrix[[1, 0, 0], [0, 1, 0], [0, 0, 1]].singular?)
+    assert(Matrix[[1, 0, 0], [0, 0, 1], [0, 0, 1]].singular?)
+    assert(Matrix[[1, 0, 0], [0, 1, 0]].singular?)
+  end
+
+  def test_square?
+    assert(Matrix[[1, 0], [0, 1]].square?)
+    assert(Matrix[[1, 0, 0], [0, 1, 0], [0, 0, 1]].square?)
+    assert(Matrix[[1, 0, 0], [0, 0, 1], [0, 0, 1]].square?)
+    assert(!Matrix[[1, 0, 0], [0, 1, 0]].square?)
+  end
+
+  def test_compare_by_row_vectors
+    assert(@m1.compare_by_row_vectors([[1, 2, 3], [4, 5, 6]]))
+  end
+
+  def test_mul
+    assert_equal(Matrix[[2,4],[6,8]], Matrix[[2,4],[6,8]] * Matrix.I(2))
+    assert_equal(Matrix[[4,8],[12,16]], Matrix[[2,4],[6,8]] * 2)
+    assert_equal(Matrix[[4,8],[12,16]], 2 * Matrix[[2,4],[6,8]])
+    assert_equal(Matrix[[14,32],[32,77]], @m1 * @m1.transpose)
+    assert_equal(Matrix[[17,22,27],[22,29,36],[27,36,45]], @m1.transpose * @m1)
+    assert_equal(Vector[14,32], @m1 * Vector[1,2,3])
+    o = Object.new
+    def o.coerce(m)
+      [m, m.transpose]
+    end
+    assert_equal(Matrix[[14,32],[32,77]], @m1 * o)
+  end
+
+  def test_add
+    assert_equal(Matrix[[6,0],[-4,12]], Matrix.scalar(2,5) + Matrix[[1,0],[-4,7]])
+    assert_equal(Matrix[[3,5,7],[9,11,13]], @m1 + @n1)
+    assert_equal(Matrix[[3,5,7],[9,11,13]], @n1 + @m1)
+    assert_equal(Matrix[[2],[4],[6]], Matrix[[1],[2],[3]] + Vector[1,2,3])
+    assert_raise(Matrix::ErrOperationNotDefined) { @m1 + 1 }
+    o = Object.new
+    def o.coerce(m)
+      [m, m]
+    end
+    assert_equal(Matrix[[2,4,6],[8,10,12]], @m1 + o)
+  end
+
+  def test_sub
+    assert_equal(Matrix[[4,0],[4,-2]], Matrix.scalar(2,5) - Matrix[[1,0],[-4,7]])
+    assert_equal(Matrix[[-1,-1,-1],[-1,-1,-1]], @m1 - @n1)
+    assert_equal(Matrix[[1,1,1],[1,1,1]], @n1 - @m1)
+    assert_equal(Matrix[[0],[0],[0]], Matrix[[1],[2],[3]] - Vector[1,2,3])
+    assert_raise(Matrix::ErrOperationNotDefined) { @m1 - 1 }
+    o = Object.new
+    def o.coerce(m)
+      [m, m]
+    end
+    assert_equal(Matrix[[0,0,0],[0,0,0]], @m1 - o)
+  end
+
+  def test_div
+    assert_equal(Matrix[[0,1,1],[2,2,3]], @m1 / 2)
+    assert_equal(Matrix[[1,1],[1,1]], Matrix[[2,2],[2,2]] / Matrix.scalar(2,2))
+    o = Object.new
+    def o.coerce(m)
+      [m, Matrix.scalar(2,2)]
+    end
+    assert_equal(Matrix[[1,1],[1,1]], Matrix[[2,2],[2,2]] / o)
+  end
+
+  def test_exp
+    assert_equal(Matrix[[67,96],[48,99]], Matrix[[7,6],[3,9]] ** 2)
+    assert_equal(Matrix.I(5), Matrix.I(5) ** -1)
+    assert_raise(Matrix::ErrOperationNotImplemented) { Matrix.I(5) ** 1.0 }
+    assert_raise(Matrix::ErrOperationNotDefined) { Matrix.I(5) ** Object.new }
+  end
+
+  def test_det
+    assert_in_delta(45.0, Matrix[[7,6],[3,9]].det, 0.0001)
+    assert_in_delta(0.0, Matrix[[0,0],[0,0]].det, 0.0001)
+    assert_in_delta(-7.0, Matrix[[0,0,1],[0,7,6],[1,3,9]].det, 0.0001)
+    assert_in_delta(0,0, @m1.det, 0.0001)
+  end
+
+  def test_det_e
+    assert_equal(45, Matrix[[7,6],[3,9]].det_e)
+    assert_equal(0, Matrix[[0,0],[0,0]].det_e)
+    assert_equal(-7, Matrix[[0,0,1],[0,7,6],[1,3,9]].det_e)
+    assert_equal(0, @m1.det_e)
+  end
+
+  def test_rank2
+    assert_equal(2, Matrix[[7,6],[3,9]].rank)
+    assert_equal(0, Matrix[[0,0],[0,0]].rank)
+    assert_equal(3, Matrix[[0,0,1],[0,7,6],[1,3,9]].rank)
+    assert_equal(2, @m1.rank)
+  end
+
+  def test_rank_e
+    assert_equal(2, Matrix[[7,6],[3,9]].rank_e)
+    assert_equal(0, Matrix[[0,0],[0,0]].rank_e)
+    assert_equal(3, Matrix[[0,0,1],[0,7,6],[1,3,9]].rank_e)
+    assert_equal(2, @m1.rank_e)
+  end
+
+  def test_trace
+    assert_equal(1+5+9, Matrix[[1,2,3],[4,5,6],[7,8,9]].trace)
+  end
+
+  def test_transpose
+    assert_equal(Matrix[[1,4],[2,5],[3,6]], @m1.transpose)
+  end
+
+  def test_row_vectors
+    assert_equal([Vector[1,2,3], Vector[4,5,6]], @m1.row_vectors)
+  end
+
+  def test_column_vectors
+    assert_equal([Vector[1,4], Vector[2,5], Vector[3,6]], @m1.column_vectors)
+  end
+
+  def test_elements_to_f
+    assert_equal(Matrix[[0.5,1.0,1.5],[2.0,2.5,3.0]], @m1.elements_to_f / 2)
+  end
+
+  def test_elements_to_i
+    assert_equal(Matrix[[0,1,1],[2,2,3]], (@m1.elements_to_f / 2).elements_to_i)
+  end
+
+  def test_elements_to_r
+    assert_equal(@m1.collect {|x| Rational(x, 2) }, @m1.elements_to_r / 2)
+  end
+
+  def test_to_s
+    assert_equal("Matrix[[1, 2, 3], [4, 5, 6]]", @m1.to_s)
+    assert_equal("Matrix.empty(0, 0)", Matrix[].to_s)
+    assert_equal("Matrix.empty(1, 0)", Matrix[[]].to_s)
+  end
+
+  def test_inspect
+    assert_equal("Matrix[[1, 2, 3], [4, 5, 6]]", @m1.inspect)
+    assert_equal("Matrix.empty(0, 0)", Matrix[].inspect)
+    assert_equal("Matrix.empty(1, 0)", Matrix[[]].inspect)
+  end
+
+  def test_scalar_add
+    s1 = @m1.coerce(1).first
+    assert_equal(Matrix[[1]], (s1 + 0) * Matrix[[1]])
+    assert_raise(Matrix::ErrOperationNotDefined) { s1 + Vector[0] }
+    assert_raise(Matrix::ErrOperationNotDefined) { s1 + Matrix[[0]] }
+    o = Object.new
+    def o.coerce(x)
+      [1, 1]
+    end
+    assert_equal(2, s1 + o)
+  end
+
+  def test_scalar_sub
+    s1 = @m1.coerce(1).first
+    assert_equal(Matrix[[1]], (s1 - 0) * Matrix[[1]])
+    assert_raise(Matrix::ErrOperationNotDefined) { s1 - Vector[0] }
+    assert_raise(Matrix::ErrOperationNotDefined) { s1 - Matrix[[0]] }
+    o = Object.new
+    def o.coerce(x)
+      [1, 1]
+    end
+    assert_equal(0, s1 - o)
+  end
+
+  def test_scalar_mul
+    s1 = @m1.coerce(1).first
+    assert_equal(Matrix[[1]], (s1 * 1) * Matrix[[1]])
+    assert_equal(Vector[2], s1 * Vector[2])
+    assert_equal(Matrix[[2]], s1 * Matrix[[2]])
+    o = Object.new
+    def o.coerce(x)
+      [1, 1]
+    end
+    assert_equal(1, s1 * o)
+  end
+
+  def test_scalar_div
+    s1 = @m1.coerce(1).first
+    assert_equal(Matrix[[1]], (s1 / 1) * Matrix[[1]])
+    assert_raise(Matrix::ErrOperationNotDefined) { s1 / Vector[0] }
+    assert_equal(Matrix[[Rational(1,2)]], s1 / Matrix[[2]])
+    o = Object.new
+    def o.coerce(x)
+      [1, 1]
+    end
+    assert_equal(1, s1 / o)
+  end
+
+  def test_scalar_pow
+    s1 = @m1.coerce(1).first
+    assert_equal(Matrix[[1]], (s1 ** 1) * Matrix[[1]])
+    assert_raise(Matrix::ErrOperationNotDefined) { s1 ** Vector[0] }
+    assert_raise(Matrix::ErrOperationNotImplemented) { s1 ** Matrix[[1]] }
+    o = Object.new
+    def o.coerce(x)
+      [1, 1]
+    end
+    assert_equal(1, s1 ** o)
+  end
 end