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-rw-r--r--src/act4e_mcdp_solution/solver_dp.py27
1 files changed, 17 insertions, 10 deletions
diff --git a/src/act4e_mcdp_solution/solver_dp.py b/src/act4e_mcdp_solution/solver_dp.py
index dfcfc90..b4b0461 100644
--- a/src/act4e_mcdp_solution/solver_dp.py
+++ b/src/act4e_mcdp_solution/solver_dp.py
@@ -694,28 +694,33 @@ class DPSolver(DPSolverInterface):
# As in the book, the intermediate goal is to define a function f such that
# the solution is the least fixed point of f.
+
+ # Feedback, we let FT = (F1, M) and RT = (R1, M)
+ # __________________________
+ # | ________ |
+ # F1 --|- F1 ---| DP |--- R1 -|-- R1
+ # | | FT->RT | |
+ # | M .--|________|--. M |
+ # | | | |
+ # | '------O<------' |
+ # |__________________________|
def uppersets_intersection(poset: Poset[RT], us: List[UpperSet[RT]]) -> UpperSet[RT]:
if len(us) < 2:
return us
- # def poset_max(m1: RT, m2: RT) -> RT:
- # return m1 if poset.geq(m1, m2) else m2
-
def intersect_pair(u1: UpperSet[RT], u2: UpperSet[RT]) -> UpperSet[RT]:
# always get the bigger of the two minimals
- # minimals: List[RT] = list(starmap(poset_max, zip(u1.minimals, u2.minimals)))
minimals: List[RT] = [m for m in u1.minimals if m in u2.minimals]
return UpperSet.from_points(poset, minimals)
- return reduce(intersect_pair, us[1:], us[0])
+ return reduce(intersect_pair, us)
- # Map antichain to antichain
+ # Map antichain to antichain in RT
def phi(chain: List[RT]) -> List[RT]:
uppersets: List[UpperSet[RT]] = []
for r in chain:
# Query for internal system that is looped
- # with FT = F1 \otimes M and RT = R1 \otimes M
inner_f: FT = (query.functionality,) + r[1:]
inner_query: FixFunMinResQuery[FT] = FixFunMinResQuery(functionality=inner_f)
@@ -734,14 +739,15 @@ class DPSolver(DPSolverInterface):
# Return antichain that is fixed point of phi
def kleene_ascent(phi) -> List[R1]:
- # initialize with bottoms,
- chain: List[RT] = dp.dp.R.global_maxima().maximals
+ # initialize with bottoms
+ chain: List[RT] = dp.dp.R.global_minima().minimals
prev_chain = None
# Ascent procedure
while chain != prev_chain:
prev_chain = chain
chain = phi(chain)
+ # assert chain, "No chain!"
# Take R1 out of RT
first = lambda r: r[0]
@@ -769,7 +775,7 @@ class DPSolver(DPSolverInterface):
maximals: List[FT] = [m for m in l1.maximals if m in l2.maximals]
return LowerSet.from_points(poset, maximals)
- return reduce(intersect_pair, ls[1:], ls[0])
+ return reduce(intersect_pair, ls)
def phi(chain: List[FT]) -> List[FT]:
lowersets: List[LowerSet[FT]] = []
@@ -794,6 +800,7 @@ class DPSolver(DPSolverInterface):
while chain != prev_chain:
prev_chain = chain
chain = phi(chain)
+ # assert chain, "No chain!"
first = lambda f: f[0]
chain: List[F1] = list(map(first, chain))