10.5.6 `simp_ff'
----------------

simp_ff(OBJ)
     :: Converts numbers or coefficients of polynomials into elements
     in finite fields.

RETURN
     number or polynomial

OBJ
     number or polynomial

   * Converts numbers or coefficients of polynomials into elements in
     finite fields.

   * It is used to convert integers or intrgral polynomials int
     elements of finite fields or polynomials over finite fields.

   * An element of a finite field may not have the reduced
     representation.  In such case an application of `simp_ff' ensures
     that the output has the reduced representation.  If a small finite
     field is set as a ground field, an integer is projected the finite
     prime field, then it is embedded into the ground field. `ptosfp()'
     can be used for direct projection to the ground field.

     [0] simp_ff((x+1)^10);
     x^10+10*x^9+45*x^8+120*x^7+210*x^6+252*x^5+210*x^4+120*x^3+45*x^2+10*x+1
     [1] setmod_ff(3);
     3
     [2] simp_ff((x+1)^10);
     1*x^10+1*x^9+1*x+1
     [3] ntype(coef(@@,10));
     6
     [4] setmod_ff(2,3);
     [2,x^3+x+1,x]
     [5] simp_ff(1);
     @_0
     [6] simp_ff(2);
     0
     [7] ptosfp(2);
     @_1

References
     *Note `setmod_ff': setmod_ff, *Note `lmptop': lmptop, *Note
     `gf2nton': gf2nton, *Note `ptosfp sfptop': ptosfp sfptop.

