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* lib/matrix.rb (Matrix#determinant): ditto. [ruby-core:27507] * lib/matrix.rb (Matrix#rank): ditto. * lib/matrix.rb (Matrix::Scalar#initialize): ditto. git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@26263 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
156 lines
4.1 KiB
Ruby
156 lines
4.1 KiB
Ruby
require 'test/unit'
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require 'matrix'
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class TestMatrix < Test::Unit::TestCase
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def setup
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@m1 = Matrix[[1,2,3], [4,5,6]]
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@m2 = Matrix[[1,2,3], [4,5,6]]
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@m3 = @m1.clone
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@m4 = Matrix[[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]]
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@n1 = Matrix[[2,3,4], [5,6,7]]
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end
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def test_identity
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assert_same @m1, @m1
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assert_not_same @m1, @m2
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assert_not_same @m1, @m3
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assert_not_same @m1, @m4
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assert_not_same @m1, @n1
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end
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def test_equality
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assert_equal @m1, @m1
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assert_equal @m1, @m2
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assert_equal @m1, @m3
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assert_equal @m1, @m4
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assert_not_equal @m1, @n1
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end
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def test_hash_equality
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assert @m1.eql?(@m1)
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assert @m1.eql?(@m2)
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assert @m1.eql?(@m3)
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assert !@m1.eql?(@m4)
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assert !@m1.eql?(@n1)
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hash = { @m1 => :value }
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assert hash.key?(@m1)
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assert hash.key?(@m2)
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assert hash.key?(@m3)
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assert !hash.key?(@m4)
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assert !hash.key?(@n1)
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end
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def test_hash
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assert_equal @m1.hash, @m1.hash
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assert_equal @m1.hash, @m2.hash
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assert_equal @m1.hash, @m3.hash
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end
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def test_rank
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[
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[[0]],
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[[0], [0]],
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[[0, 0], [0, 0]],
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[[0, 0], [0, 0], [0, 0]],
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[[0, 0, 0]],
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[[0, 0, 0], [0, 0, 0]],
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[[0, 0, 0], [0, 0, 0], [0, 0, 0]],
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[[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]],
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].each do |rows|
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assert_equal 0, Matrix[*rows].rank
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end
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[
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[[1], [0]],
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[[1, 0], [0, 0]],
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[[1, 0], [1, 0]],
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[[0, 0], [1, 0]],
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[[1, 0], [0, 0], [0, 0]],
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[[0, 0], [1, 0], [0, 0]],
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[[0, 0], [0, 0], [1, 0]],
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[[1, 0], [1, 0], [0, 0]],
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[[0, 0], [1, 0], [1, 0]],
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[[1, 0], [1, 0], [1, 0]],
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[[1, 0, 0]],
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[[1, 0, 0], [0, 0, 0]],
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[[0, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [0, 0, 0]],
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[[0, 0, 0], [1, 0, 0], [0, 0, 0]],
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[[0, 0, 0], [0, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0], [0, 0, 0]],
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[[0, 0, 0], [1, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]],
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[[1, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [0, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0], [1, 0, 0], [0, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [1, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0], [0, 0, 0], [1, 0, 0]],
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[[1, 0, 0], [1, 0, 0], [1, 0, 0], [1, 0, 0]],
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[[1]],
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[[1], [1]],
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[[1, 1]],
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[[1, 1], [1, 1]],
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[[1, 1], [1, 1], [1, 1]],
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[[1, 1, 1]],
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[[1, 1, 1], [1, 1, 1]],
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[[1, 1, 1], [1, 1, 1], [1, 1, 1]],
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[[1, 1, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1]],
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].each do |rows|
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matrix = Matrix[*rows]
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assert_equal 1, matrix.rank
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assert_equal 1, matrix.transpose.rank
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end
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[
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[[1, 0], [0, 1]],
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[[1, 0], [0, 1], [0, 0]],
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[[1, 0], [0, 1], [0, 1]],
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[[1, 0], [0, 1], [1, 1]],
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[[1, 0, 0], [0, 1, 0]],
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[[1, 0, 0], [0, 0, 1]],
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[[1, 0, 0], [0, 1, 0], [0, 0, 0]],
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[[1, 0, 0], [0, 0, 1], [0, 0, 0]],
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[[1, 0, 0], [0, 0, 0], [0, 1, 0]],
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[[1, 0, 0], [0, 0, 0], [0, 0, 1]],
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[[1, 0], [1, 1]],
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[[1, 2], [1, 1]],
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[[1, 2], [0, 1], [1, 1]],
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].each do |rows|
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m = Matrix[*rows]
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assert_equal 2, m.rank
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assert_equal 2, m.transpose.rank
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end
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[
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[[1, 0, 0], [0, 1, 0], [0, 0, 1]],
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[[1, 1, 0], [0, 1, 1], [1, 0, 1]],
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[[1, 1, 0], [0, 1, 1], [1, 0, 1]],
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[[1, 1, 0], [0, 1, 1], [1, 0, 1], [0, 0, 0]],
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[[1, 1, 0], [0, 1, 1], [1, 0, 1], [1, 1, 1]],
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[[1, 1, 1], [1, 1, 2], [1, 3, 1], [4, 1, 1]],
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].each do |rows|
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m = Matrix[*rows]
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assert_equal 3, m.rank
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assert_equal 3, m.transpose.rank
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end
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end
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def test_inverse
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assert_equal(Matrix[[-1, 1], [0, -1]], Matrix[[-1, -1], [0, -1]].inverse)
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end
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def test_determinant
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assert_equal(45, Matrix[[7,6], [3,9]].determinant)
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assert_equal(-18, Matrix[[2,0,1],[0,-2,2],[1,2,3]].determinant)
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end
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end
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