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class GraphViz
class Math
def self.Matrix( line, column = 0, val = 0 )
GraphViz::Math::Matrix.new(line, column, val)
end
class CoordinateError < RuntimeError
end
class ValueError < RuntimeError
end
class Matrix
def initialize( line_or_array, column = 0, val = 0 )
if line_or_array.kind_of?(Array)
line = line_or_array.size
column = nil
line_or_array.size.times do |l|
unless line_or_array[l].kind_of?(Array)
raise ArgumentError, "Wrong matrix definition"
end
column = line_or_array[l].size if column.nil?
unless line_or_array[l].size == column
raise ArgumentError, "Wrong matrix definition"
end
line_or_array[l].size.times do |c|
unless line_or_array[l][c].kind_of?(Numeric)
raise ValueError, "Element at [#{l+1}, #{c+1}] is not a number"
end
end
end
@matrix = line_or_array
@line = line
@column = column
elsif line_or_array.kind_of?(Integer) and column > 0
@matrix = Array.new(line_or_array)
@matrix.size.times do |l|
@matrix[l] = Array.new(column)
@matrix[l].size.times do |c|
@matrix[l][c] = val
end
end
@line = line_or_array
@column = column
else
raise ArgumentError, "Wrong matrix definition"
end
end
def [](line, column)
unless (0...@line).to_a.include?(line-1)
raise CoordinateError, "Line out of range (#{line} for 1..#{@line})!"
end
unless (0...@column).to_a.include?(column-1)
raise CoordinateError, "Column out of range (#{column} for 1..#{@column})!"
end
@matrix[line-1][column-1]
end
def []=( line, column, val )
unless (0...@line).to_a.include?(line-1)
raise CoordinateError, "Line out of range (#{line} for 1..#{@line})!"
end
unless (0...@column).to_a.include?(column-1)
raise CoordinateError, "Column out of range (#{column} for 1..#{@column})!"
end
@matrix[line-1][column-1] = val
end
def matrix
@matrix
end
alias :to_a :matrix
def columns
@column
end
def lines
@line
end
def to_s
size = bigger
out = ""
@line.times do |line|
out << "["
@column.times do |column|
out << sprintf(" %1$*2$s", @matrix[line][column].to_s, size)
end
out << "]\n"
end
return out
end
def -(m)
matrix = GraphViz::Math::Matrix.new( @line, @column )
@line.times do |line|
@column.times do |column|
matrix[line+1, column+1] = self[line+1, column+1] - m[line+1, column+1]
end
end
return matrix
end
def *(m)
matrix = GraphViz::Math::Matrix.new( @line, @line )
@line.times do |line|
@line.times do |column|
l = self.line(line+1)
c = m.column(column+1)
v = 0
l.size.times do |i|
v += l[i]*c[i]
end
matrix[line+1,column+1] = v
end
end
return matrix
end
def line( line )
unless (0...@line).to_a.include?(line-1)
raise CoordinateError, "Line out of range (#{line} for 1..#{@line})!"
end
@matrix[line-1]
end
def column( column )
col = []
unless (0...@column).to_a.include?(column-1)
raise CoordinateError, "Column out of range (#{column} for 1..#{@column})!"
end
@line.times do |line|
col << self[line+1, column]
end
return col
end
def transpose
matrix = GraphViz::Math::Matrix.new( @column, @line )
@line.times do |line|
@column.times do |column|
matrix[column+1, line+1] = self[line+1, column+1]
end
end
return matrix
end
def ==(m)
equal = true
@line.times do |line|
@column.times do |column|
equal &&= (m[line+1, column+1] == self[line+1, column+1])
end
end
return equal
end
def remove_line(n)
unless (0...@line).to_a.include?(n-1)
raise CoordinateError, "Line out of range (#{n} for 1..#{@line})!"
end
matrix = GraphViz::Math::Matrix.new( @line - 1, @column )
nline = 0
@line.times do |line|
next if line == n - 1
@column.times do |column|
matrix[nline+1, column+1] = self[line+1, column+1]
end
nline += 1
end
return matrix
end
def remove_column(n)
unless (0...@column).to_a.include?(n-1)
raise CoordinateError, "Column out of range (#{n} for 1..#{@column})!"
end
matrix = GraphViz::Math::Matrix.new( @line, @column - 1 )
@line.times do |line|
ncolumn = 0
@column.times do |column|
next if column == n - 1
matrix[line+1, ncolumn+1] = self[line+1, column+1]
ncolumn += 1
end
end
return matrix
end
def sum_of_column(n)
column(n).inject(0){|sum,item| sum + item}
end
def sum_of_line(n)
line(n).inject(0){|sum,item| sum + item}
end
def set_matrix(m) #:nodoc:
@matrix = m
end
private
def bigger
b = 0
@matrix.each do |line|
line.each do |column|
b = column.to_s.size if column.to_s.size > b
end
end
return b
end
end
end
end
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