# -*- tcl -*- #Metric Travelling Salesman Algorithm - Tests # #Finding Hamilton Cycle in graph satisfying triangle inequality. #Set of tests covers also subprocedures used by MTSP algorithm. #------------------------------------------------------------------------------------ #Tests concerning returning right values by algorithm #Test 1.0 - graph which can cause reaching maximum approximation factor # - The Tcl implementation yields a near-optimal route (having a # length of 7, over 6). # - The C implementation with different node ordering yields route off # by two (8 over 6), this is still within 2x approximation factor, # and also demonstrates how this algorithm is a heuristic and easy # to disturb by even small things. test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.0 { MetricTravellingSalesman, graph simulation } -setup { SETUP_TSP_1 } -body { toursort [struct::graph::op::MetricTravellingSalesman mygraph] } -cleanup { mygraph destroy } -result [tmE \ {node1 node4 node3 node2 node6 node5 node1} \ {node1 node3 node2 node6 node5 node4 node1}] #Test 1.1 - case with double edges and different edge weights at them test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.1 { MetricTravellingSalesman, graph simulation } -setup { SETUP_TSP_3 } -body { toursorta [struct::graph::op::MetricTravellingSalesman mygraph] } -cleanup { mygraph destroy } -result {node1 node2 node3 node4 node1} #Test 1.2 - graph which can cause reaching maximum approximation factor. # We have slightly different tours based on the chosen implementation # (Not only of struct::graph, but also of struct::set). test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.2 { MetricTravellingSalesman, graph simulation } -setup { SETUP_TSP_2 } -body { toursort [struct::graph::op::MetricTravellingSalesman mygraph] } -cleanup { mygraph destroy } -result [tmE [tmSE \ {node1 node2 node3 node4 node5 node1} \ {node1 node4 node3 node2 node5 node1}] \ {node1 node3 node2 node5 node4 node1}] #Test 1.3 - testing subprocedure createTGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.3 { createTGraph, option 0 } -setup { SETUP_CREATETGRAPH_1 E } -body { set tg [struct::graph::op::createTGraph mygraph $E 0] list \ [lsort [$tg arcs]] \ [lsort [$tg nodes]] } -cleanup { $tg destroy mygraph destroy } -result {{{node1 node2} {node1 node4} {node2 node1} {node4 node1}} {node1 node2 node3 node4}} #Test 1.4 - testing subprocedure createTGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.4 { createTGraph, option 1 } -setup { SETUP_CREATETGRAPH_1 E } -body { set tg [struct::graph::op::createTGraph mygraph $E 1] list \ [lsort [$tg arcs]] \ [lsort [$tg nodes]] } -cleanup { $tg destroy mygraph destroy } -result {{{node2 node1} {node4 node1}} {node1 node2 node3 node4}} #Test 1.5 - testing subprocedure createTGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.5 { createTGraph, no edges exception } -setup { SETUP_CREATETGRAPH_2 E } -body { struct::graph::op::createTGraph mygraph $E 0 } -returnCodes 1 -cleanup { mygraph destroy } -result [LackOfEdgesOccurance {mygraph} {edge1}] #Test 1.6 - testing subprocedure createTGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.6 { createTGraph, no edges exception } -setup { SETUP_CREATETGRAPH_2 E } -body { struct::graph::op::createTGraph mygraph $E 1 } -returnCodes 1 -cleanup { mygraph destroy } -result [LackOfEdgesOccurance {mygraph} {edge1}] #Test 1.7 - testing subprocedure createTGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.7 { createTGraph, option 1 } -setup { SETUP_CREATETGRAPH_3 E } -body { set tg [struct::graph::op::createTGraph mygraph $E 1] list \ [lsort [$tg arcs]] \ [lsort [$tg nodes]] } -cleanup { $tg destroy mygraph destroy } -result {{{node1 node4} {node3 node1} {node4 node1}} {node1 node2 node3 node4}} #Test 1.8 - testing subprocedure createTGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.8 { createTGraph, option 0 } -setup { SETUP_CREATETGRAPH_3 E } -body { set tg [struct::graph::op::createTGraph mygraph $E 0] list \ [lsort [$tg arcs]] \ [lsort [$tg nodes]] } -cleanup { $tg destroy mygraph destroy } -result {{{node1 node3} {node1 node4} {node3 node1} {node4 node1}} {node1 node2 node3 node4}} #Test 1.9 - testing subprocedure createCompleteGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.9 { createCompleteGraph, no edges } -setup { SETUP_NOEDGES_1 } -body { struct::graph::op::createCompleteGraph mygraph originalEdges list \ [lsort [undirected [mygraph arcs]]] \ [lsort [mygraph nodes]] \ [lsort $originalEdges] } -cleanup { mygraph destroy } -result {{{node1 node2} {node1 node3} {node1 node4} {node2 node3} {node2 node4} {node3 node4}} {node1 node2 node3 node4} {}} #Test 1.10 - testing subprocedure createCompleteGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.10 { createCompleteGraph, complete graph } -setup { SETUP_UNDIRECTED_K4 } -body { struct::graph::op::createCompleteGraph mygraph originalEdges list \ [lsort [mygraph arcs]] \ [lsort [mygraph nodes]] \ [lsort $originalEdges] } -cleanup { mygraph destroy } -result {{edge12 edge13 edge14 edge23 edge24 edge34} {node1 node2 node3 node4} {{node1 node2} {node1 node3} {node1 node4} {node2 node3} {node2 node4} {node3 node4}}} #Test 1.11 - testing subprocedure createCompleteGraph used by Metric Travelling Salesman procedure test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.11 { createCompleteGraph, partially connected graph } -setup { SETUP_PARTIALLYCONNECTED_1 } -body { struct::graph::op::createCompleteGraph mygraph originalEdges list \ [lsort [undirected [mygraph arcs]]] \ [lsort [mygraph nodes]] \ [lsort $originalEdges] } -cleanup { mygraph destroy } -result {{arc1 arc2 arc3 arc4 {node1 node2} {node1 node3} {node1 node4} {node2 node3} {node2 node4} {node3 node4}} {node1 node2 node3 node4 node5} {{node1 node5} {node2 node5} {node3 node5} {node4 node5}}} #Test 1.12 - graph which can cause reaching maximum approximation factor # this also has considerable freedom in the order it can choose the nodes test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-1.12 { MetricTravellingSalesman, graph simulation } -setup { SETUP_PARTIALLYCONNECTED_1 } -body { toursort [struct::graph::op::MetricTravellingSalesman mygraph] } -cleanup { mygraph destroy } -result {node1 node5 node4 node5 node3 node5 node2 node5 node1} # ------------------------------------------------------------------------- # Wrong # args: Missing, Too many test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-2.0 { MetricTravellingSalesman, wrong args, missing } { catch {struct::graph::op::MetricTravellingSalesman} msg set msg } [tcltest::wrongNumArgs struct::graph::op::MetricTravellingSalesman {G} 0] test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-2.1 { MetricTravellingSalesman, wrong args, too many} { catch {struct::graph::op::MetricTravellingSalesman G y x} msg set msg } [tcltest::tooManyArgs struct::graph::op::MetricTravellingSalesman {G}] # ------------------------------------------------------------------------- # Logical arguments checks and failures #Test 3.0 - case when given graph doesn't have weights at all edges test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-3.0 {MetricTravellingSalesman, lack of weights at edges } { SETUP_UNWEIGHTED_K4 catch {struct::graph::op::MetricTravellingSalesman mygraph} result mygraph destroy set result } [UnweightedArcOccurance] #Test 3.1 - case when given graph doesn't have weights at all edges test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-3.1 {MetricTravellingSalesman, lack of weights at edges } { SETUP_UNWEIGHTED_K4 catch {struct::graph::op::MetricTravellingSalesman mygraph} result mygraph destroy set result } [UnweightedArcOccurance] #Test 3.2 - case when given graph is not a connected graph test graphop-t${treeimpl}-g${impl}-s${setimpl}-st${stkimpl}-q${queimpl}-MetricTravellingSalesman-3.2 { MetricTravellingSalesman, unconnected graph } { SETUP_NOEDGES_1 catch { struct::graph::op::MetricTravellingSalesman mygraph } result mygraph destroy set result } [UnconnectedGraphOccurance {mygraph}]