analyzer: support reverse direction in shortest-paths.h

This patch generalizes shortest-path.h so that it can be used to
find the shortest path from each node to a given target node (on top
of the existing support for finding the shortest path from a given
origin node to each node).

I've marked this as "analyzer" as this is the only code using
shortest-paths.h.

This patch is required by followup work to fix PR analyzer/96374.

gcc/analyzer/ChangeLog:
	* diagnostic-manager.cc (epath_finder::epath_finder):
	Update shortest_paths init for new param.

gcc/ChangeLog:
	* digraph.cc (selftest::test_shortest_paths): Update
	shortest_paths init for new param.  Add test of
	SPS_TO_GIVEN_TARGET.
	* shortest-paths.h (enum shortest_path_sense): New.
	(shortest_paths::shortest_paths): Add "sense" param.
	Update for renamings.  Generalize to use "sense" param.
	(shortest_paths::get_shortest_path): Rename param.
	(shortest_paths::m_sense): New field.
	(shortest_paths::m_prev): Rename...
	(shortest_paths::m_best_edge): ...to this.
	(shortest_paths::get_shortest_path): Update for renamings.
	Conditionalize flipping of path on sense of traversal.
This commit is contained in:
David Malcolm 2021-03-11 17:45:10 -05:00
parent 3f958348e7
commit 5e33e5b042
3 changed files with 125 additions and 37 deletions

View File

@ -73,7 +73,7 @@ class epath_finder
public:
epath_finder (const exploded_graph &eg)
: m_eg (eg),
m_sep (eg, eg.get_origin ())
m_sep (eg, eg.get_origin (), SPS_FROM_GIVEN_ORIGIN)
{
}

View File

@ -147,7 +147,8 @@ test_shortest_paths ()
/* Use "A" as the origin; all nodes should be reachable. */
{
shortest_paths<test_graph_traits, test_path> sp (g, a);
shortest_paths<test_graph_traits, test_path> sp (g, a,
SPS_FROM_GIVEN_ORIGIN);
test_path path_to_a = sp.get_shortest_path (a);
ASSERT_EQ (path_to_a.m_edges.length (), 0); /* Trivial path. */
@ -181,7 +182,8 @@ test_shortest_paths ()
/* Use "B" as the origin, so only E and F are reachable. */
{
shortest_paths<test_graph_traits, test_path> sp (g, b);
shortest_paths<test_graph_traits, test_path> sp (g, b,
SPS_FROM_GIVEN_ORIGIN);
test_path path_to_a = sp.get_shortest_path (a);
ASSERT_EQ (path_to_a.m_edges.length (), 0); /* No path. */
@ -207,7 +209,8 @@ test_shortest_paths ()
/* Use "C" as the origin, so only D and F are reachable. */
{
shortest_paths<test_graph_traits, test_path> sp (g, c);
shortest_paths<test_graph_traits, test_path> sp (g, c,
SPS_FROM_GIVEN_ORIGIN);
test_path path_to_a = sp.get_shortest_path (a);
ASSERT_EQ (path_to_a.m_edges.length (), 0); /* No path. */
@ -229,6 +232,36 @@ test_shortest_paths ()
ASSERT_EQ (path_to_f.m_edges.length (), 1);
ASSERT_EQ (path_to_f.m_edges[0], cf);
}
/* Test of SPS_TO_GIVEN_TARGET. Use "F" as the target. */
{
shortest_paths<test_graph_traits, test_path> sp (g, f,
SPS_TO_GIVEN_TARGET);
test_path path_to_a = sp.get_shortest_path (a);
ASSERT_EQ (path_to_a.m_edges.length (), 2);
ASSERT_EQ (path_to_a.m_edges[0], ac);
ASSERT_EQ (path_to_a.m_edges[1], cf);
test_path path_to_b = sp.get_shortest_path (b);
ASSERT_EQ (path_to_b.m_edges.length (), 2);
ASSERT_EQ (path_to_b.m_edges[0], be);
ASSERT_EQ (path_to_b.m_edges[1], ef);
test_path path_to_c = sp.get_shortest_path (c);
ASSERT_EQ (path_to_c.m_edges.length (), 1);
ASSERT_EQ (path_to_c.m_edges[0], cf);
test_path path_to_d = sp.get_shortest_path (d);
ASSERT_EQ (path_to_d.m_edges.length (), 0); /* No path. */
test_path path_to_e = sp.get_shortest_path (e);
ASSERT_EQ (path_to_e.m_edges.length (), 1);
ASSERT_EQ (path_to_e.m_edges[0], ef);
test_path path_to_f = sp.get_shortest_path (f);
ASSERT_EQ (path_to_f.m_edges.length (), 0);
}
}
/* Run all of the selftests within this file. */

View File

@ -23,8 +23,24 @@ along with GCC; see the file COPYING3. If not see
#include "timevar.h"
/* A record of the shortest path to each node in an graph
from the origin node.
enum shortest_path_sense
{
/* Find the shortest path from the given origin node to each
node in the graph. */
SPS_FROM_GIVEN_ORIGIN,
/* Find the shortest path from each node in the graph to the
given target node. */
SPS_TO_GIVEN_TARGET
};
/* A record of the shortest path for each node relative to a special
"given node", either:
SPS_FROM_GIVEN_ORIGIN:
from the given origin node to each node in a graph, or
SPS_TO_GIVEN_TARGET:
from each node in a graph to the given target node.
The constructor runs Dijkstra's algorithm, and the results are
stored in this class. */
@ -37,35 +53,46 @@ public:
typedef typename GraphTraits::edge_t edge_t;
typedef Path_t path_t;
shortest_paths (const graph_t &graph, const node_t *origin);
shortest_paths (const graph_t &graph, const node_t *given_node,
enum shortest_path_sense sense);
path_t get_shortest_path (const node_t *to) const;
path_t get_shortest_path (const node_t *other_node) const;
private:
const graph_t &m_graph;
/* For each node (by index), the minimal distance to that node from the
origin. */
enum shortest_path_sense m_sense;
/* For each node (by index), the minimal distance between that node
and the given node (with direction depending on m_sense). */
auto_vec<int> m_dist;
/* For each exploded_node (by index), the previous edge in the shortest
path from the origin. */
auto_vec<const edge_t *> m_prev;
/* For each node (by index):
SPS_FROM_GIVEN_ORIGIN:
the previous edge in the shortest path from the origin,
SPS_TO_GIVEN_TARGET:
the next edge in the shortest path to the target. */
auto_vec<const edge_t *> m_best_edge;
};
/* shortest_paths's constructor.
Use Dijkstra's algorithm relative to ORIGIN to populate m_dist and
m_prev with enough information to be able to generate Path_t instances
to give the shortest path to any node in GRAPH from ORIGIN. */
Use Dijkstra's algorithm relative to GIVEN_NODE to populate m_dist and
m_best_edge with enough information to be able to generate Path_t instances
to give the shortest path...
SPS_FROM_GIVEN_ORIGIN: to each node in a graph from the origin node, or
SPS_TO_GIVEN_TARGET: from each node in a graph to the target node. */
template <typename GraphTraits, typename Path_t>
inline
shortest_paths<GraphTraits, Path_t>::shortest_paths (const graph_t &graph,
const node_t *origin)
shortest_paths<GraphTraits, Path_t>::
shortest_paths (const graph_t &graph,
const node_t *given_node,
enum shortest_path_sense sense)
: m_graph (graph),
m_sense (sense),
m_dist (graph.m_nodes.length ()),
m_prev (graph.m_nodes.length ())
m_best_edge (graph.m_nodes.length ())
{
auto_timevar tv (TV_ANALYZER_SHORTEST_PATHS);
@ -74,10 +101,10 @@ shortest_paths<GraphTraits, Path_t>::shortest_paths (const graph_t &graph,
for (unsigned i = 0; i < graph.m_nodes.length (); i++)
{
m_dist.quick_push (INT_MAX);
m_prev.quick_push (NULL);
m_best_edge.quick_push (NULL);
queue.quick_push (i);
}
m_dist[origin->m_index] = 0;
m_dist[given_node->m_index] = 0;
while (queue.length () > 0)
{
@ -107,39 +134,67 @@ shortest_paths<GraphTraits, Path_t>::shortest_paths (const graph_t &graph,
node_t *n
= static_cast <node_t *> (m_graph.m_nodes[idx_with_min_dist]);
int i;
edge_t *succ;
FOR_EACH_VEC_ELT (n->m_succs, i, succ)
if (m_sense == SPS_FROM_GIVEN_ORIGIN)
{
// TODO: only for dest still in queue
node_t *dest = succ->m_dest;
int alt = m_dist[n->m_index] + 1;
if (alt < m_dist[dest->m_index])
int i;
edge_t *succ;
FOR_EACH_VEC_ELT (n->m_succs, i, succ)
{
m_dist[dest->m_index] = alt;
m_prev[dest->m_index] = succ;
// TODO: only for dest still in queue
node_t *dest = succ->m_dest;
int alt = m_dist[n->m_index] + 1;
if (alt < m_dist[dest->m_index])
{
m_dist[dest->m_index] = alt;
m_best_edge[dest->m_index] = succ;
}
}
}
else
{
int i;
edge_t *pred;
FOR_EACH_VEC_ELT (n->m_preds, i, pred)
{
// TODO: only for dest still in queue
node_t *src = pred->m_src;
int alt = m_dist[n->m_index] + 1;
if (alt < m_dist[src->m_index])
{
m_dist[src->m_index] = alt;
m_best_edge[src->m_index] = pred;
}
}
}
}
}
/* Generate an Path_t instance giving the shortest path to the node
TO from the origin node.
/* Generate an Path_t instance giving the shortest path between OTHER_NODE
and the given node.
SPS_FROM_GIVEN_ORIGIN: shortest path from given origin node to OTHER_NODE
SPS_TO_GIVEN_TARGET: shortest path from OTHER_NODE to given target node.
If no such path exists, return an empty path. */
template <typename GraphTraits, typename Path_t>
inline Path_t
shortest_paths<GraphTraits, Path_t>::get_shortest_path (const node_t *to) const
shortest_paths<GraphTraits, Path_t>::
get_shortest_path (const node_t *other_node) const
{
Path_t result;
while (m_prev[to->m_index])
while (m_best_edge[other_node->m_index])
{
result.m_edges.safe_push (m_prev[to->m_index]);
to = m_prev[to->m_index]->m_src;
result.m_edges.safe_push (m_best_edge[other_node->m_index]);
if (m_sense == SPS_FROM_GIVEN_ORIGIN)
other_node = m_best_edge[other_node->m_index]->m_src;
else
other_node = m_best_edge[other_node->m_index]->m_dest;
}
result.m_edges.reverse ();
if (m_sense == SPS_FROM_GIVEN_ORIGIN)
result.m_edges.reverse ();
return result;
}