That looks great!
As a performance test I tried this:
(79) -> h2323:=((h2*h3*h2*h3)^2);
Type:
XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer))
Time: 0.00 (IN) + 2.71 (EV) + 0.00 (OT) = 2.71 sec
(80) -> dc_fact h2323
(80)
[- y x + x y, - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
- z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
- z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
- z y x + z x y + y z x - y x z - x z y + x y z]
Type:
List(XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer)))
Time: 0.00 (IN) + 315.56 (EV) + 0.13 (OT) = 315.69 sec
Although you have already pointed out that this code is not yet
optimized I think it is interesting to compare this with Konrad's
program that produces the following result on the same problem:
(54) -> h2323:=((h2*h3*h2*h3)^2);
Type:
FreeDivisionAlgebra(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer))
Time: 0.00 (IN) + 0.37 (EV) + 0.00 (OT) = 0.37 sec
(55) -> map(x+->x::XDP,factor h2323)
(55)
[y x - x y, z y x - z x y - y z x + y x z + x z y - x y z, - y x + x y,
- z y x + z x y + y z x - y x z - x z y + x y z, y x - x y,
z y x - z x y - y z x + y x z + x z y - x y z, - y x + x y,
- z y x + z x y + y z x - y x z - x z y + x y z]
Type:
List(XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer)))
Time: 0.00 (IN) + 25.45 (EV) + 0.01 (OT) = 25.46 sec
---
On Mon, Nov 12, 2018 at 4:09 PM Waldek Hebisch wrote:
>
> ...
> Thanks for testcases (this one and from other post). I overlooked
> a case when lift equation has unique solution, but the simple
> method used by 'dc_fact1' found wrong one. Now those cases
> are hanlded like cases with non-unique solution and passed to
> 'solve' to sort out. New version at:
>
> http://www.math.uni.wroc.pl/~hebisch/fricas/dcfact3.input
>
> --
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