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Avoid use of float arithmetic in bipartite_match.c.
Since the distances used in this algorithm are small integers (not more than the size of the U set, in fact), there is no good reason to use float arithmetic for them. Use short ints instead: they're smaller, faster, and require no special portability assumptions. Per testing by Greg Stark, which disclosed that the code got into an infinite loop on VAX for lack of IEEE-style float infinities. We don't really care all that much whether Postgres can run on a VAX anymore, but there seems sufficient reason to change this code anyway. In passing, make a few other small adjustments to make the code match usual Postgres coding style a bit better.
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@@ -11,7 +11,7 @@
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/*
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* Given a bipartite graph consisting of nodes U numbered 1..nU, nodes V
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* numbered 1..nV, and an adjacency map of undirected edges in the form
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* adjacency[u] = [n, v1, v2, v3, ... vn], we wish to find a "maximum
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* adjacency[u] = [k, v1, v2, v3, ... vk], we wish to find a "maximum
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* cardinality matching", which is defined as follows: a matching is a subset
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* of the original edges such that no node has more than one edge, and a
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* matching has maximum cardinality if there exists no other matching with a
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@@ -24,21 +24,23 @@
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* the problem of planning a collection of grouping sets with the provably
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* minimal number of sort operations.
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*/
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typedef struct bipartite_match_state
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typedef struct BipartiteMatchState
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{
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/* inputs: */
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int u_size; /* size of U */
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int v_size; /* size of V */
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short **adjacency; /* adjacency[u] = [k, v1,v2,v3,...,vk] */
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/* outputs: */
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int matching; /* number of edges in matching */
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short **adjacency; /* adjacency[u] = [n, v1,v2,v3,...,vn] */
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short *pair_uv; /* pair_uv[u] -> v */
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short *pair_vu; /* pair_vu[v] -> u */
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float *distance; /* distance[u], float so we can have +inf */
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/* private state for matching algorithm: */
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short *distance; /* distance[u] */
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short *queue; /* queue storage for breadth search */
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} BipartiteMatchState;
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BipartiteMatchState *BipartiteMatch(int u_size, int v_size, short **adjacency);
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extern BipartiteMatchState *BipartiteMatch(int u_size, int v_size, short **adjacency);
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void BipartiteMatchFree(BipartiteMatchState *state);
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extern void BipartiteMatchFree(BipartiteMatchState *state);
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#endif /* BIPARTITE_MATCH_H */
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