* {ext,lib,test}/**/*.rb: removed trailing spaces.

git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/branches/ruby_1_8@27366 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
author: nobu <nobu@b2dd03c8-39d4-4d8f-98ff-823fe69b080e> 2010-04-16 21:51:01 +0000
committer: nobu <nobu@b2dd03c8-39d4-4d8f-98ff-823fe69b080e> 2010-04-16 21:51:01 +0000
commit: 75c1cac7f306627ce2a96faa0ca17ffb039bd762 (patch)
tree: 9bbde912ce8a99ce68eec4a5258b75f3a686e408 /lib/matrix.rb
parent: c89882197ed679e89b120dd328cd053d7ad56094 (diff)
1 files changed, 85 insertions, 85 deletions
diff --git a/lib/matrix.rb b/lib/matrix.rb
index 93ae3a9909..2f0f1b9d68 100644
--- a/lib/matrix.rb
+++ b/lib/matrix.rb
@@ -1,6 +1,6 @@
 #!/usr/local/bin/ruby
 #--
-#   matrix.rb - 
+#   matrix.rb -
 #       $Release Version: 1.0$
 #       $Revision: 1.11 $
 #       $Date: 1999/10/06 11:01:53 $
@@ -14,9 +14,9 @@
 # An implementation of Matrix and Vector classes.
 #
 # Author:: Keiju ISHITSUKA
-# Documentation:: Gavin Sinclair (sourced from <i>Ruby in a Nutshell</i> (Matsumoto, O'Reilly)) 
+# Documentation:: Gavin Sinclair (sourced from <i>Ruby in a Nutshell</i> (Matsumoto, O'Reilly))
 #
-# See classes Matrix and Vector for documentation. 
+# See classes Matrix and Vector for documentation.
 #
 
 
@@ -26,7 +26,7 @@ module ExceptionForMatrix # :nodoc:
   extend Exception2MessageMapper
   def_e2message(TypeError, "wrong argument type %s (expected %s)")
   def_e2message(ArgumentError, "Wrong # of arguments(%d for %d)")
-  
+
   def_exception("ErrDimensionMismatch", "\#{self.name} dimension mismatch")
   def_exception("ErrNotRegular", "Not Regular Matrix")
   def_exception("ErrOperationNotDefined", "This operation(%s) can\\'t defined")
@@ -60,7 +60,7 @@ end
 # * <tt> Matrix.row_vector(row)         </tt>
 # * <tt> Matrix.column_vector(column)   </tt>
 #
-# To access Matrix elements/columns/rows/submatrices/properties: 
+# To access Matrix elements/columns/rows/submatrices/properties:
 # * <tt>  [](i, j)                      </tt>
 # * <tt> #row_size                      </tt>
 # * <tt> #column_size                   </tt>
@@ -105,13 +105,13 @@ end
 #
 class Matrix
   @RCS_ID='-$Id: matrix.rb,v 1.11 1999/10/06 11:01:53 keiju Exp keiju $-'
-  
+
 #  extend Exception2MessageMapper
   include ExceptionForMatrix
-  
+
   # instance creations
   private_class_method :new
-  
+
   #
   # Creates a matrix where each argument is a row.
   #   Matrix[ [25, 93], [-1, 66] ]
@@ -121,7 +121,7 @@ class Matrix
   def Matrix.[](*rows)
     new(:init_rows, rows, false)
   end
-  
+
   #
   # Creates a matrix where +rows+ is an array of arrays, each of which is a row
   # of the matrix.  If the optional argument +copy+ is false, use the given
@@ -133,7 +133,7 @@ class Matrix
   def Matrix.rows(rows, copy = true)
     new(:init_rows, rows, copy)
   end
-  
+
   #
   # Creates a matrix using +columns+ as an array of column vectors.
   #   Matrix.columns([[25, 93], [-1, 66]])
@@ -148,7 +148,7 @@ class Matrix
     }
     Matrix.rows(rows, false)
   end
-  
+
   #
   # Creates a matrix where the diagonal elements are composed of +values+.
   #   Matrix.diagonal(9, 5, -3)
@@ -165,7 +165,7 @@ class Matrix
     }
     rows(rows, false)
   end
-  
+
   #
   # Creates an +n+ by +n+ diagonal matrix where each diagonal element is
   # +value+.
@@ -186,11 +186,11 @@ class Matrix
   def Matrix.identity(n)
     Matrix.scalar(n, 1)
   end
-  class << Matrix 
+  class << Matrix
     alias unit identity
     alias I identity
   end
-  
+
   #
   # Creates an +n+ by +n+ zero matrix.
   #   Matrix.zero(2)
@@ -200,7 +200,7 @@ class Matrix
   def Matrix.zero(n)
     Matrix.scalar(n, 0)
   end
-  
+
   #
   # Creates a single-row matrix where the values of that row are as given in
   # +row+.
@@ -217,7 +217,7 @@ class Matrix
       Matrix.rows([[row]], false)
     end
   end
-  
+
   #
   # Creates a single-column matrix where the values of that column are as given
   # in +column+.
@@ -244,7 +244,7 @@ class Matrix
   def initialize(init_method, *argv)
     self.send(init_method, *argv)
   end
-  
+
   def init_rows(rows, copy)
     if copy
       @rows = rows.collect{|row| row.dup}
@@ -254,7 +254,7 @@ class Matrix
     self
   end
   private :init_rows
-  
+
   #
   # Returns element (+i+,+j+) of the matrix.  That is: row +i+, column +j+.
   #
@@ -268,7 +268,7 @@ class Matrix
   def row_size
     @rows.size
   end
-  
+
   #
   # Returns the number of columns.  Note that it is possible to construct a
   # matrix with uneven columns (e.g. Matrix[ [1,2,3], [4,5] ]), but this is
@@ -308,7 +308,7 @@ class Matrix
       Vector.elements(col, false)
     end
   end
-  
+
   #
   # Returns a matrix that is the result of iteration of the given block over all
   # elements of the matrix.
@@ -321,7 +321,7 @@ class Matrix
     Matrix.rows(rows, false)
   end
   alias map collect
-  
+
   #
   # Returns a section of the matrix.  The parameters are either:
   # *  start_row, nrows, start_col, ncols; OR
@@ -345,14 +345,14 @@ class Matrix
     else
       Matrix.Raise ArgumentError, param.inspect
     end
-    
+
     rows = @rows[from_row, size_row].collect{
       |row|
       row[from_col, size_col]
     }
     Matrix.rows(rows, false)
   end
- 
+
   #--
   # TESTING -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
@@ -363,7 +363,7 @@ class Matrix
   def regular?
     square? and rank == column_size
   end
-  
+
   #
   # Returns +true+ is this is a singular (i.e. non-regular) matrix.
   #
@@ -378,7 +378,7 @@ class Matrix
   def square?
     column_size == row_size
   end
-  
+
   #--
   # OBJECT METHODS -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
@@ -388,15 +388,15 @@ class Matrix
   #
   def ==(other)
     return false unless Matrix === other
-    
+
     other.compare_by_row_vectors(@rows)
   end
   def eql?(other)
     return false unless Matrix === other
-    
+
     other.compare_by_row_vectors(@rows, :eql?)
   end
-  
+
   #
   # Not really intended for general consumption.
   #
@@ -408,7 +408,7 @@ class Matrix
     end
     true
   end
-  
+
   #
   # Returns a clone of the matrix, so that the contents of each do not reference
   # identical objects.
@@ -416,18 +416,18 @@ class Matrix
   def clone
     Matrix.rows(@rows)
   end
-  
+
   #
   # Returns a hash-code for the matrix.
   #
   def hash
     @rows.hash
   end
-  
+
   #--
   # ARITHMETIC -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # Matrix multiplication.
   #   Matrix[[2,4], [6,8]] * Matrix.identity(2)
@@ -465,7 +465,7 @@ class Matrix
       return x * y
     end
   end
-  
+
   #
   # Matrix addition.
   #   Matrix.scalar(2,5) + Matrix[[1,0], [-4,7]]
@@ -483,7 +483,7 @@ class Matrix
       x, y = m.coerce(self)
       return x + y
     end
-    
+
     Matrix.Raise ErrDimensionMismatch unless row_size == m.row_size and column_size == m.column_size
 
     rows = (0 ... row_size).collect {|i|
@@ -511,7 +511,7 @@ class Matrix
       x, y = m.coerce(self)
       return x - y
     end
-    
+
     Matrix.Raise ErrDimensionMismatch unless row_size == m.row_size and column_size == m.column_size
 
     rows = (0 ... row_size).collect {|i|
@@ -521,7 +521,7 @@ class Matrix
     }
     Matrix.rows(rows, false)
   end
-  
+
   #
   # Matrix division (multiplication by the inverse).
   #   Matrix[[7,6], [3,9]] / Matrix[[2,9], [3,1]]
@@ -606,7 +606,7 @@ class Matrix
     self
   end
   #alias reciprocal inverse
-  
+
   #
   # Matrix exponentiation.  Defined for integer powers only.  Equivalent to
   # multiplying the matrix by itself N times.
@@ -640,11 +640,11 @@ class Matrix
       Matrix.Raise ErrOperationNotDefined, "**"
     end
   end
-  
+
   #--
   # MATRIX FUNCTIONS -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # Returns the determinant of the matrix.  If the matrix is not square, the
   # result is 0.
@@ -656,7 +656,7 @@ class Matrix
 
     size = row_size
     a = to_a
-    
+
     det = 1
     size.times do |k|
       if (akk = a[k][k]) == 0
@@ -741,7 +741,7 @@ class Matrix
     end
   end
   alias tr trace
-  
+
   #
   # Returns the transpose of the matrix.
   #   Matrix[[1,2], [3,4], [5,6]]
@@ -756,11 +756,11 @@ class Matrix
     Matrix.columns(@rows)
   end
   alias t transpose
-  
+
   #--
   # CONVERTING -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # FIXME: describe #coerce.
   #
@@ -781,7 +781,7 @@ class Matrix
       row(i)
     }
   end
-  
+
   #
   # Returns an array of the column vectors of the matrix.  See Vector.
   #
@@ -790,18 +790,18 @@ class Matrix
       column(i)
     }
   end
-  
+
   #
   # Returns an array of arrays that describe the rows of the matrix.
   #
   def to_a
     @rows.collect{|row| row.dup}
   end
-  
+
   #--
   # PRINTING -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # Overrides Object#to_s
   #
@@ -811,23 +811,23 @@ class Matrix
       "[" + row.collect{|e| e.to_s}.join(", ") + "]"
     }.join(", ")+"]"
   end
-  
+
   #
   # Overrides Object#inspect
   #
   def inspect
     "Matrix"[email protected]
   end
-  
+
   # Private CLASS
-  
+
   class Scalar < Numeric # :nodoc:
     include ExceptionForMatrix
-    
+
     def initialize(value)
       @value = value
     end
-    
+
     # ARITHMETIC
     def +(other)
       case other
@@ -842,7 +842,7 @@ class Matrix
         x + y
       end
     end
-    
+
     def -(other)
       case other
       when Numeric
@@ -856,7 +856,7 @@ class Matrix
         x - y
       end
     end
-    
+
     def *(other)
       case other
       when Numeric
@@ -868,7 +868,7 @@ class Matrix
         x * y
       end
     end
-    
+
     def / (other)
       case other
       when Numeric
@@ -882,7 +882,7 @@ class Matrix
         x / y
       end
     end
-    
+
     def ** (other)
       case other
       when Numeric
@@ -941,9 +941,9 @@ end
 #
 class Vector
   include ExceptionForMatrix
-  
+
   #INSTANCE CREATION
-  
+
   private_class_method :new
 
   #
@@ -953,7 +953,7 @@ class Vector
   def Vector.[](*array)
     new(:init_elements, array, copy = false)
   end
-  
+
   #
   # Creates a vector from an Array.  The optional second argument specifies
   # whether the array itself or a copy is used internally.
@@ -961,14 +961,14 @@ class Vector
   def Vector.elements(array, copy = true)
     new(:init_elements, array, copy)
   end
-  
+
   #
   # For internal use.
   #
   def initialize(method, array, copy)
     self.send(method, array, copy)
   end
-  
+
   #
   # For internal use.
   #
@@ -979,23 +979,23 @@ class Vector
       @elements = array
     end
   end
-  
+
   # ACCESSING
-         
+
   #
   # Returns element number +i+ (starting at zero) of the vector.
   #
   def [](i)
     @elements[i]
   end
-  
+
   #
   # Returns the number of elements in the vector.
   #
   def size
     @elements.size
   end
-  
+
   #--
   # ENUMERATIONS -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
@@ -1009,7 +1009,7 @@ class Vector
       yield @elements[i], v[i]
     end
   end
-  
+
   #
   # Collects (as in Enumerable#collect) over the elements of this vector and +v+
   # in conjunction.
@@ -1030,40 +1030,40 @@ class Vector
   #
   def ==(other)
     return false unless Vector === other
-    
+
     other.compare_by(@elements)
   end
   def eql?(other)
     return false unless Vector === other
-    
+
     other.compare_by(@elements, :eql?)
   end
-  
+
   #
   # For internal use.
   #
   def compare_by(elements, comparison = :==)
     @elements.send(comparison, elements)
   end
-  
+
   #
   # Return a copy of the vector.
   #
   def clone
     Vector.elements(@elements)
   end
-  
+
   #
   # Return a hash-code for the vector.
   #
   def hash
     @elements.hash
   end
-  
+
   #--
   # ARITHMETIC -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # Multiplies the vector by +x+, where +x+ is a number or another vector.
   #
@@ -1119,18 +1119,18 @@ class Vector
       s - x
     end
   end
-  
+
   #--
   # VECTOR FUNCTIONS -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # Returns the inner product of this vector with the other.
   #   Vector[4,7].inner_product Vector[10,1]  => 47
   #
   def inner_product(v)
     Vector.Raise ErrDimensionMismatch if size != v.size
-    
+
     p = 0
     each2(v) {
       |v1, v2|
@@ -1138,7 +1138,7 @@ class Vector
     }
     p
   end
-  
+
   #
   # Like Array#collect.
   #
@@ -1147,7 +1147,7 @@ class Vector
     Vector.elements(els, false)
   end
   alias map collect
-  
+
   #
   # Like Vector#collect2, but returns a Vector instead of an Array.
   #
@@ -1155,7 +1155,7 @@ class Vector
     els = collect2(v, &block)
     Vector.elements(els, false)
   end
-  
+
   #
   # Returns the modulus (Pythagorean distance) of the vector.
   #   Vector[5,8,2].r => 9.643650761
@@ -1163,7 +1163,7 @@ class Vector
   def r
     Math.sqrt(@elements.inject(0) {|v, e| v + e*e})
   end
-  
+
   #--
   # CONVERTING
   #++
@@ -1174,14 +1174,14 @@ class Vector
   def covector
     Matrix.row_vector(self)
   end
-  
+
   #
   # Returns the elements of the vector in an array.
   #
   def to_a
     @elements.dup
   end
-  
+
   #
   # FIXME: describe Vector#coerce.
   #
@@ -1193,18 +1193,18 @@ class Vector
       raise TypeError, "#{self.class} can't be coerced into #{other.class}"
     end
   end
-  
+
   #--
   # PRINTING -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
   #++
-  
+
   #
   # Overrides Object#to_s
   #
   def to_s
     "Vector[" + @elements.join(", ") + "]"
   end
-  
+
   #
   # Overrides Object#inspect
   #
author	nobu <nobu@b2dd03c8-39d4-4d8f-98ff-823fe69b080e>	2010-04-16 21:51:01 +0000
committer	nobu <nobu@b2dd03c8-39d4-4d8f-98ff-823fe69b080e>	2010-04-16 21:51:01 +0000
commit	75c1cac7f306627ce2a96faa0ca17ffb039bd762 (patch)
tree	9bbde912ce8a99ce68eec4a5258b75f3a686e408 /lib/matrix.rb
parent	c89882197ed679e89b120dd328cd053d7ad56094 (diff)