class JAS::SubModule

Represents a JAS sub-module over a polynomial ring.

Methods to compute Groebner bases.

Attributes

cols[R]

the Java module, module list, polynomial list, number of columns and rows, module list

list[R]

the Java module, module list, polynomial list, number of columns and rows, module list

modu[R]

the Java module, module list, polynomial list, number of columns and rows, module list

mset[R]

the Java module, module list, polynomial list, number of columns and rows, module list

pset[R]

the Java module, module list, polynomial list, number of columns and rows, module list

rows[R]

the Java module, module list, polynomial list, number of columns and rows, module list

Public Class Methods

new(modu,modstr="",list=nil) click to toggle source

Constructor for a sub-module.

     # File examples/jas.rb
4778 def initialize(modu,modstr="",list=nil)
4779     @modu = modu;
4780     if list == nil
4781        sr = StringReader.new( modstr );
4782        tok = GenPolynomialTokenizer.new(modu.ring,sr);
4783        @list = tok.nextSubModuleList();
4784     else
4785         if list.is_a? Array
4786             if list.size != 0
4787                 if list[0].is_a? RingElem
4788                     list = list.map { |re| re.elem  };
4789                 end
4790             end
4791             @list = rbarray2arraylist(list,@modu.ring,rec=2);
4792         else
4793             @list = list;
4794         end
4795     end
4796     #puts "list = ", str(list);
4797     #e = @list[0];
4798     #puts "e = ", e;
4799     @mset = OrderedModuleList.new(modu.ring,@list);
4800     @cols = @mset.cols;
4801     @rows = @mset.rows;
4802     @pset = @mset.getPolynomialList();
4803 end

Public Instance Methods

GB() click to toggle source

Compute a Groebner base.

     # File examples/jas.rb
4815 def GB()
4816     t = System.currentTimeMillis();
4817     #gg = ModGroebnerBaseSeq.new(@modu.ring.coFac).GB(@mset);
4818     gg = GroebnerBaseSeq.new().GB(@mset);
4819     t = System.currentTimeMillis() - t;
4820     puts "executed module GB in #{t} ms\n"; 
4821     return SubModule.new(@modu,"",gg.list);
4822 end

isGB() click to toggle source

Test if this is a Groebner base.

     # File examples/jas.rb
4827 def isGB()
4828     t = System.currentTimeMillis();
4829     #b = ModGroebnerBaseSeq.new(@modu.ring.coFac).isGB(@mset);
4830     b = GroebnerBaseSeq.new().isGB(@mset);
4831     t = System.currentTimeMillis() - t;
4832     puts "module isGB executed in #{t} ms\n"; 
4833     return b;
4834 end

isSyzygy(g) click to toggle source

Test if this is a syzygy of the polynomials in g.

     # File examples/jas.rb
4839 def isSyzygy(g)
4840     l = @list;
4841     if g.is_a? SimIdeal
4842        s = g.pset.list; # not g.list
4843     else 
4844        if g.is_a? SubModule
4845           s = g.mset;
4846           l = @mset;
4847        else
4848           raise "unknown type #{g.getClass().getName()}";
4849        end
4850     end
4851     #puts "l = #{l}";
4852     #puts "s = #{s}";
4853     t = System.currentTimeMillis();
4854     z = SyzygySeq.new(@modu.ring.coFac).isZeroRelation( l, s );
4855     t = System.currentTimeMillis() - t;
4856     puts "executed isSyzygy in #{t} ms\n"; 
4857     return z;
4858 end

syzygy() click to toggle source

Compute syzygys of this module.

     # File examples/jas.rb
4863 def syzygy()
4864     l = @mset;
4865     t = System.currentTimeMillis();
4866     p = SyzygySeq.new(@modu.ring.coFac).zeroRelations( l );
4867     t = System.currentTimeMillis() - t;
4868     puts "executed module syzygy in #{t} ms\n"; 
4869     m = CommutativeModule.new("",p.ring,p.cols);
4870     return SubModule.new(m,"",p.list);
4871 end

to_s() click to toggle source

Create a string representation.

     # File examples/jas.rb
4808 def to_s()
4809     return @mset.toScript(); # + "\n\n" + str(@pset);
4810 end