def dfs_topo_visit(n, g, tmp, permanent, l) if permanent.includes?(n) return elsif tmp.includes?(n) raise "unorderable: circular dependency detected involving '#{n}'" end tmp.add(n) g[n].each { |m| dfs_topo_visit(m, g, tmp, permanent, l) } tmp.delete(n) permanent.add(n) l.insert(0, n) end def dfs_topo_sort(g) tmp = Set(String).new permanent = Set(String).new l = Array(String).new while true keys = g.keys.to_set - permanent if keys.empty? break end n = keys.first dfs_topo_visit(n, g, tmp, permanent, l) end return l end def build_graph(deps) g = {} of String => Set(String) deps.split("\n").each { |line| line_split = line.strip.split line_split.each { |dep| unless g.has_key?(dep) g[dep] = Set(String).new end unless line_split[0] == dep g[dep].add(line_split[0]) end } } return g end data = "des_system_lib std synopsys std_cell_lib des_system_lib dw02 dw01 ramlib ieee dw01 ieee dw01 dware gtech dw02 ieee dw02 dware dw03 std synopsys dware dw03 dw02 dw01 ieee gtech dw04 dw04 ieee dw01 dware gtech dw05 dw05 ieee dware dw06 dw06 ieee dware dw07 ieee dware dware ieee dware gtech ieee gtech ramlib std ieee std_cell_lib ieee std_cell_lib synopsys" circular_deps = "\ncyc01 cyc02 cyc02 cyc01" puts dfs_topo_sort(build_graph(data)).join(" -> ") puts "" puts dfs_topo_sort(build_graph(data + circular_deps)).join(" -> ")