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matrix.rb: add Matrix#antisymmetric?
* lib/matrix.rb: add Matrix#antisymmetric?. Proposed by Yilo (@yiloo). Patch by Marcus Stollsteimer (@stomar). [Fix GH-1788] * spec/ruby/library/matrix/antisymmetric_spec.rb: add specs. git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@61775 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
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@ -801,6 +801,18 @@ class Matrix
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true
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end
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#
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# Returns +true+ if this is an antisymmetric matrix.
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# Raises an error if matrix is not square.
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#
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def antisymmetric?
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Matrix.Raise ErrDimensionMismatch unless square?
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each_with_index(:upper) do |e, row, col|
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return false unless e == -rows[col][row]
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end
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true
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end
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#
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# Returns +true+ if this is a unitary matrix
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# Raises an error if matrix is not square.
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@ -0,0 +1,35 @@
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require File.expand_path('../../../spec_helper', __FILE__)
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require 'matrix'
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describe "Matrix#antisymmetric?" do
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it "returns true for an antisymmetric Matrix" do
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Matrix[[0, -2, Complex(1, 3)], [2, 0, 5], [-Complex(1, 3), -5, 0]].antisymmetric?.should be_true
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end
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it "returns true for a 0x0 empty matrix" do
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Matrix.empty.antisymmetric?.should be_true
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end
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it "returns false for non-antisymmetric matrices" do
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[
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Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]],
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Matrix[[1, -2, 3], [2, 0, 6], [-3, -6, 0]], # wrong diagonal element
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Matrix[[0, 2, -3], [2, 0, 6], [-3, 6, 0]] # only signs wrong
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].each do |matrix|
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matrix.antisymmetric?.should be_false
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end
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end
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it "raises an error for rectangular matrices" do
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[
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Matrix[[0], [0]],
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Matrix[[0, 0]],
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Matrix.empty(0, 2),
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Matrix.empty(2, 0),
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].each do |rectangular_matrix|
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lambda {
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rectangular_matrix.antisymmetric?
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}.should raise_error(Matrix::ErrDimensionMismatch)
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end
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end
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end
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