FUNCTION: uf_type - determine the type of a unit form

CALLING SEQUENCE:
uf_type(q)
uf_type(q,'f')

PARAMETERS:
q - matrix of the unit form
'f' - optional parameter which tells the function to perform fast determination of the type of the unit form, without checking if it is positive or nonnegative defined

SYNOPSIS:

• uf_type determines the type of a unit form.
  Available types are:
  • weakly positive,
  • sincere weakly positive,
  • weakly nonnegative,
  • sincere weakly nonnegative,
  • critical.

• Also the function checks if the form is positive or nonnegative defined (see "PARAMETERS").

EXAMPLES:

> q:=uf_init([6,[1,2],[2,3],[3,4],[4,5],[6,3]]);

> uf_type(q);

> q:=uf_init([4,[1,2],[2,3],[3,4],[4,1]]);

> uf_type(q);