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
4537 def initialize(modu,modstr="",list=nil)
4538     @modu = modu;
4539     if list == nil
4540        sr = StringReader.new( modstr );
4541        tok = GenPolynomialTokenizer.new(modu.ring,sr);
4542        @list = tok.nextSubModuleList();
4543     else
4544         if list.is_a? Array
4545             if list.size != 0
4546                 if list[0].is_a? RingElem
4547                     list = list.map { |re| re.elem  };
4548                 end
4549             end
4550             @list = rbarray2arraylist(list,@modu.ring,rec=2);
4551         else
4552             @list = list;
4553         end
4554     end
4555     #puts "list = ", str(list);
4556     #e = @list[0];
4557     #puts "e = ", e;
4558     @mset = OrderedModuleList.new(modu.ring,@list);
4559     @cols = @mset.cols;
4560     @rows = @mset.rows;
4561     @pset = @mset.getPolynomialList();
4562 end

Public Instance Methods

GB() click to toggle source

Compute a Groebner base.

     # File examples/jas.rb
4574 def GB()
4575     t = System.currentTimeMillis();
4576     #gg = ModGroebnerBaseSeq.new(@modu.ring.coFac).GB(@mset);
4577     gg = GroebnerBaseSeq.new().GB(@mset);
4578     t = System.currentTimeMillis() - t;
4579     puts "executed module GB in #{t} ms\n"; 
4580     return SubModule.new(@modu,"",gg.list);
4581 end

isGB() click to toggle source

Test if this is a Groebner base.

     # File examples/jas.rb
4586 def isGB()
4587     t = System.currentTimeMillis();
4588     #b = ModGroebnerBaseSeq.new(@modu.ring.coFac).isGB(@mset);
4589     b = GroebnerBaseSeq.new().isGB(@mset);
4590     t = System.currentTimeMillis() - t;
4591     puts "module isGB executed in #{t} ms\n"; 
4592     return b;
4593 end

isSyzygy(g) click to toggle source

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

     # File examples/jas.rb
4598 def isSyzygy(g)
4599     l = @list;
4600     if g.is_a? SimIdeal
4601        s = g.pset.list; # not g.list
4602     else 
4603        if g.is_a? SubModule
4604           s = g.mset;
4605           l = @mset;
4606        else
4607           raise "unknown type #{g.getClass().getName()}";
4608        end
4609     end
4610     #puts "l = #{l}";
4611     #puts "s = #{s}";
4612     t = System.currentTimeMillis();
4613     z = SyzygySeq.new(@modu.ring.coFac).isZeroRelation( l, s );
4614     t = System.currentTimeMillis() - t;
4615     puts "executed isSyzygy in #{t} ms\n"; 
4616     return z;
4617 end

syzygy() click to toggle source

Compute syzygys of this module.

     # File examples/jas.rb
4622 def syzygy()
4623     l = @mset;
4624     t = System.currentTimeMillis();
4625     p = SyzygySeq.new(@modu.ring.coFac).zeroRelations( l );
4626     t = System.currentTimeMillis() - t;
4627     puts "executed module syzygy in #{t} ms\n"; 
4628     m = CommutativeModule.new("",p.ring,p.cols);
4629     return SubModule.new(m,"",p.list);
4630 end

to_s() click to toggle source

Create a string representation.

     # File examples/jas.rb
4567 def to_s()
4568     return @mset.toScript(); # + "\n\n" + str(@pset);
4569 end