diff options
Diffstat (limited to 'lib/matrix.rb')
| -rw-r--r-- | lib/matrix.rb | 41 |
1 files changed, 40 insertions, 1 deletions
diff --git a/lib/matrix.rb b/lib/matrix.rb index 4d211ddd78..569680f600 100644 --- a/lib/matrix.rb +++ b/lib/matrix.rb @@ -1691,6 +1691,11 @@ end # * #each2(v) # * #collect2(v) # +# Properties of vectors: +# * #angle_with(v) +# * Vector.independent?(*vs) +# * #independent?(*vs) +# # Vector arithmetic: # * #*(x) "is matrix or number" # * #+(v) @@ -1699,7 +1704,6 @@ end # * #-@ # # Vector functions: -# * #angle_with(v) # * #inner_product(v), dot(v) # * #cross_product(v), cross(v) # * #collect @@ -1833,6 +1837,41 @@ class Vector end #-- + # PROPERTIES -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- + #++ + + # + # Returns +true+ iff all of vectors are linearly independent. + # + # Vector.independent?(Vector[1,0], Vector[0,1]) + # => true + # + # Vector.independent?(Vector[1,2], Vector[2,4]) + # => false + # + def Vector.independent?(*vs) + vs.each do |v| + raise TypeError, "expected Vector, got #{v.class}" unless v.is_a?(Vector) + Vector.Raise ErrDimensionMismatch unless v.size == vs.first.size + end + return false if vs.count > vs.first.size + Matrix[*vs].rank.eql?(vs.count) + end + + # + # Returns +true+ iff all of vectors are linearly independent. + # + # Vector[1,0].independent?(Vector[0,1]) + # => true + # + # Vector[1,2].independent?(Vector[2,4]) + # => false + # + def independent?(*vs) + self.class.independent?(self, *vs) + end + + #-- # COMPARING -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- #++ |