program main !*****************************************************************************80 ! !! digraph_arc_test() tests digraph_arc(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 03 March 2023 ! ! Author: ! ! John Burkardt ! implicit none call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'digraph_arc_test():' write ( *, '(a)' ) ' Fortran90 version' write ( *, '(a)' ) ' Test digraph_arc(), which implements digraph algorithms.' call digraph_arc_degree_test ( ) call digraph_arc_euler_circ_next_test ( ) call digraph_arc_is_eulerian_test ( ) call digraph_arc_to_adj_test ( ) ! ! Terminate. ! write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'digraph_arc_test():' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop 0 end subroutine digraph_arc_degree_test ( ) !*****************************************************************************80 ! !! digraph_arc_degree_test() tests digraph_arc_degree(). ! ! 5--2--10--1--3--6 ! | | | / ! 8 | 9 ! | | ! 4--7 ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 20 January 2009 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: edge_num = 11 integer, parameter :: node_num = 10 integer indegree(node_num) integer L(edge_num,2) integer outdegree(node_num) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'digraph_arc_degree_test():' write ( *, '(a)' ) ' digraph_arc_degree() computes the degree of the nodes;' L = reshape ( (/ 1, 1, 1, 2, 2, 3, 3, 4, 4, 6, 8, & 3, 7, 10, 5, 10, 6, 9, 7, 8, 9, 10 /), (/ edge_num, 2 /) ) call digraph_arc_print ( edge_num, L, ' The digraph arc list:' ) call digraph_arc_degree ( node_num, edge_num, L, indegree, outdegree ) call i4vec2_print ( node_num, indegree, outdegree, ' Node, Indegree, Outdegree' ) return end subroutine digraph_arc_euler_circ_next_test ( ) !*****************************************************************************80 ! !! digraph_arc_euler_circ_next_test() tests digraph_arc_euler_circ_next(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 20 January 2009 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: maxstack = 130 integer, parameter :: edge_num = 10 integer, parameter :: node_num = 5 integer circuit(edge_num) integer i integer L(edge_num,2) logical more integer ncan(edge_num) integer stack(maxstack) L = reshape ( & (/ 1, 3, 1, 5, 2, 4, 2, 4, 3, 5, & 2, 1, 4, 1, 3, 2, 5, 3, 5, 4 /), (/ edge_num, 2 /) ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'digraph_arc_euler_circ_next_test():' write ( *, '(a)' ) ' digraph_arc_euler_circ_next() finds the next' write ( *, '(a)' ) ' Euler circuit of a graph.' write ( *, '(a)' ) ' ' call digraph_arc_print ( edge_num, L, ' The digraph arc list:' ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Circuits:' write ( *, '(a)' ) ' ' i = 0 more = .false. do call digraph_arc_euler_circ_next ( edge_num, L, circuit, stack, & maxstack, ncan, more ) if ( .not. more ) then exit end if i = i + 1 write ( *, '(i3,2x,20i3)' ) i, circuit(1:edge_num) end do return end subroutine digraph_arc_is_eulerian_test ( ) !*****************************************************************************80 ! !! digraph_arc_is_eulerian_test() tests digraph_arc_is_eulerian(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 20 January 2009 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: maxstack = 130 integer, parameter :: edge_num = 10 integer, parameter :: node_num = 5 integer indegree(node_num) integer L(edge_num,2) integer outdegree(node_num) integer answer L = reshape ( & (/ 1, 3, 1, 5, 2, 4, 2, 4, 3, 5, & 2, 1, 4, 1, 3, 2, 5, 3, 5, 4 /), (/ edge_num, 2 /) ) write ( *, '(a)' ) '' write ( *, '(a)' ) 'digraph_arc_is_eulerian_test()' write ( *, '(a)' ) ' digraph_arc_is_eulerian() checks if a graph' write ( *, '(a)' ) ' has (at least one) Euler circuit.' write ( *, '(a)' ) ' ' call digraph_arc_print ( edge_num, L, ' The digraph arc list:' ) call digraph_arc_is_eulerian ( node_num, edge_num, L, indegree, & outdegree, answer ) if ( answer == 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The digraph is NOT eulerian.' return else if ( answer == 1 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The digraph has an eulerian path,' write ( *, '(a)' ) ' but not an eulerian circuit.' else if ( answer == 2 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The digraph has an eulerian circuit.' end if return end subroutine digraph_arc_to_adj_test ( ) !*****************************************************************************80 ! !! digraph_arc_to_adj_test() tests digraph_arc_to_adj(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 20 January 2009 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: edge_num = 16 integer, parameter :: node_num = 20 integer A(node_num,node_num) integer L(edge_num,2) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'digraph_arc_to_adj_test():' write ( *, '(a)' ) ' digraph_arc_to_adj() converts an arclist' write ( *, '(a)' ) ' digraph to an adjacency digraph.' write ( *, '(a)' ) ' ' call digraph_arc_example_cycler ( L ) call digraph_arc_print ( edge_num, L, ' The digraph arc list:' ) call digraph_arc_to_adj ( edge_num, L, node_num, A ) call digraph_adj_print ( A, node_num, ' The digraph adjacency matrix:' ) return end subroutine timestamp ( ) !*****************************************************************************80 ! !! timestamp() prints the current YMDHMS date as a time stamp. ! ! Example: ! ! 31 May 2001 9:45:54.872 AM ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 15 August 2021 ! ! Author: ! ! John Burkardt ! implicit none character ( len = 8 ) ampm integer d integer h integer m integer mm character ( len = 9 ), parameter, dimension(12) :: month = (/ & 'January ', 'February ', 'March ', 'April ', & 'May ', 'June ', 'July ', 'August ', & 'September', 'October ', 'November ', 'December ' /) integer n integer s integer values(8) integer y call date_and_time ( values = values ) y = values(1) m = values(2) d = values(3) h = values(5) n = values(6) s = values(7) mm = values(8) if ( h < 12 ) then ampm = 'AM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Noon' else ampm = 'PM' end if else h = h - 12 if ( h < 12 ) then ampm = 'PM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Midnight' else ampm = 'AM' end if end if end if write ( *, '(i2.2,1x,a,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)' ) & d, trim ( month(m) ), y, h, ':', n, ':', s, '.', mm, trim ( ampm ) return end