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@@ -102,23 +102,28 @@ class MatcherVF2:
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state=MatcherState.make_initial(self.host, self.guest),
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already_visited=set())
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+
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def _match(self, state, already_visited, indent=0):
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- # print(" "*indent, "match")
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+ def print_debug(*args):
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+ pass
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+ # print(*args) # uncomment to see a trace of the matching process
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+
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+ print_debug(" "*indent, "match")
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hashable_state = state.make_hashable()
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if hashable_state in already_visited:
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- # print(" "*indent, " SKIP - ALREADY VISITED")
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- # print(" "*indent, " ", hashable_state)
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+ print_debug(" "*indent, " SKIP - ALREADY VISITED")
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+ print_debug(" "*indent, " ", hashable_state)
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return
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- # print(" "*indent, " ADD STATE")
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- # print(" "*indent, " ", hashable_state)
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+ print_debug(" "*indent, " ADD STATE")
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+ print_debug(" "*indent, " ", hashable_state)
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already_visited.add(hashable_state)
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- if len(state.mapping_edges) == len(self.guest.edges):
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- # print(" "*indent, "GOT MATCH:")
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- # print(" "*indent, " ", state.mapping_vtxs)
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- # print(" "*indent, " ", state.mapping_edges)
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+ if len(state.mapping_vtxs) == len(self.guest.vtxs) and len(state.mapping_edges) == len(self.guest.edges):
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+ print_debug(" "*indent, "GOT MATCH:")
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+ print_debug(" "*indent, " ", state.mapping_vtxs)
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+ print_debug(" "*indent, " ", state.mapping_edges)
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yield state
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return
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@@ -131,22 +136,22 @@ class MatcherVF2:
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raise Exception("wtf!")
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def attempt_grow(direction, indent):
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- # print(" "*indent, 'attempt_grow', direction)
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+ print_debug(" "*indent, 'attempt_grow', direction)
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if state.boundary != None:
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g_vtx, h_vtx = state.boundary
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for g_candidate_edge in getattr(g_vtx, direction):
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- # print(" "*indent, 'g_candidate_edge:', g_candidate_edge)
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+ print_debug(" "*indent, 'g_candidate_edge:', g_candidate_edge)
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if g_candidate_edge in state.mapping_edges:
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- # print(" "*indent, " skip, guest edge already matched")
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+ print_debug(" "*indent, " skip, guest edge already matched")
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continue # skip already matched guest edge
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g_candidate_vtx = read_edge(g_candidate_edge, direction)
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for h_candidate_edge in getattr(h_vtx, direction):
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- # print(" "*indent, 'h_candidate_edge:', h_candidate_edge)
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+ print_debug(" "*indent, 'h_candidate_edge:', h_candidate_edge)
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if h_candidate_edge in state.r_mapping_edges:
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- # print(" "*indent, " skip, host edge already matched")
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+ print_debug(" "*indent, " skip, host edge already matched")
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continue # skip already matched host edge
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h_candidate_vtx = read_edge(h_candidate_edge, direction)
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- # print(" "*indent, 'grow edge', g_candidate_edge, ':', h_candidate_edge)
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+ print_debug(" "*indent, 'grow edge', g_candidate_edge, ':', h_candidate_edge)
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new_state = state.grow_edge(h_candidate_edge, g_candidate_edge)
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yield from attempt_match_vtxs(
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new_state,
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@@ -155,14 +160,14 @@ class MatcherVF2:
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indent+1)
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def attempt_match_vtxs(state, g_candidate_vtx, h_candidate_vtx, indent):
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- # print(" "*indent, 'attempt_match_vtxs')
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+ print_debug(" "*indent, 'attempt_match_vtxs')
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if g_candidate_vtx in state.mapping_vtxs:
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if state.mapping_vtxs[g_candidate_vtx] != h_candidate_vtx:
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- # print(" "*indent, " nope, guest already mapped (mismatch)")
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+ print_debug(" "*indent, " nope, guest already mapped (mismatch)")
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return # guest vtx is already mapped but doesn't match host vtx
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if h_candidate_vtx in state.r_mapping_vtxs:
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if state.r_mapping_vtxs[h_candidate_vtx] != g_candidate_vtx:
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- # print(" "*indent, " nope, host already mapped (mismatch)")
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+ print_debug(" "*indent, " nope, host already mapped (mismatch)")
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return # host vtx is already mapped but doesn't match guest vtx
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g_outdegree = len(g_candidate_vtx.outgoing)
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h_outdegree = len(h_candidate_vtx.outgoing)
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@@ -177,20 +182,20 @@ class MatcherVF2:
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new_state = state.grow_vtx(
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h_candidate_vtx,
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g_candidate_vtx)
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- # print(" "*indent, 'grow vtx', g_candidate_vtx, ':', h_candidate_vtx)
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+ print_debug(" "*indent, 'grow vtx', g_candidate_vtx, ':', h_candidate_vtx)
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yield from self._match(new_state, already_visited, indent+1)
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- # print(" "*indent, 'preferred...')
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+ print_debug(" "*indent, 'preferred...')
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yield from attempt_grow('outgoing', indent+1)
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yield from attempt_grow('incoming', indent+1)
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- # print(" "*indent, 'least preferred...')
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+ print_debug(" "*indent, 'least preferred...')
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for g_candidate_vtx in state.g_unmatched_vtxs:
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for h_candidate_vtx in state.h_unmatched_vtxs:
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yield from attempt_match_vtxs(state, g_candidate_vtx, h_candidate_vtx, indent+1)
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- # if indent == 0:
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- # print('visited', len(already_visited), 'states total')
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+ if indent == 0:
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+ print_debug('visited', len(already_visited), 'states total')
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# demo time...
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if __name__ == "__main__":
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@@ -211,7 +216,7 @@ if __name__ == "__main__":
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guest.edges = [
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# Look for a simple loop:
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Edge(guest.vtxs[0], guest.vtxs[1]),
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- Edge(guest.vtxs[1], guest.vtxs[0]),
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+ # Edge(guest.vtxs[1], guest.vtxs[0]),
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]
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m = MatcherVF2(host, guest, lambda g_val, h_val: eval(g_val, {}, {'v':h_val}))
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@@ -231,4 +236,48 @@ if __name__ == "__main__":
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for mm in matches:
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print("match:")
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print(" ", mm.mapping_vtxs)
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- print(" ", mm.mapping_edges)
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+ print(" ", mm.mapping_edges)
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+
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+ print("######################")
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+
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+ host = Graph()
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+ host.vtxs = [
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+ Vertex('pony'), # 1
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+ Vertex('pony'), # 3
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+ Vertex('bear'),
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+ Vertex('bear'),
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+ ]
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+ host.edges = [
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+ # match:
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+ Edge(host.vtxs[0], host.vtxs[1]),
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+ Edge(host.vtxs[1], host.vtxs[0]),
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+ ]
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+
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+ guest = Graph()
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+ guest.vtxs = [
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+ Vertex('pony'), # 0
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+ Vertex('pony'), # 1
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+ Vertex('bear')]
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+ guest.edges = [
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+ Edge(guest.vtxs[0], guest.vtxs[1]),
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+ Edge(guest.vtxs[1], guest.vtxs[0]),
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+ ]
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+
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+ m = MatcherVF2(host, guest, lambda g_val, h_val: g_val == h_val)
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+ import time
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+ durations = 0
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+ iterations = 1
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+ print("Patience...")
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+ for n in range(iterations):
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+ time_start = time.perf_counter_ns()
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+ matches = [mm for mm in m.match()]
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+ time_end = time.perf_counter_ns()
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+ time_duration = time_end - time_start
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+ durations += time_duration
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+
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+ print(f'{iterations} iterations, took {durations/1000000:.3f} ms, {durations/iterations/1000000:.3f} ms per iteration')
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+ print("found", len(matches), "matches")
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+ for mm in matches:
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+ print("match:")
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+ print(" ", mm.mapping_vtxs)
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+ print(" ", mm.mapping_edges)
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