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source: palm/trunk/UTIL/agent_preprocessing/agent_preprocessing.f90 @ 3230

Last change on this file since 3230 was 3216, checked in by sward, 6 years ago
Bugfix for gfortran: reordering of type definitions
Property svn:keywords set to `Id`
File size: 116.3 KB

Rev	Line
[3208]	1	!> @agent_preprocessing.f90
[3159]	2	!------------------------------------------------------------------------------!
	3	! This file is part of the PALM model system.
	4	!
	5	! PALM is free software: you can redistribute it and/or modify it under the
	6	! terms of the GNU General Public License as published by the Free Software
	7	! Foundation, either version 3 of the License, or (at your option) any later
	8	! version.
	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
	17	! Copyright 1997-2018 Leibniz Universitaet Hannover
	18	!------------------------------------------------------------------------------!
	19	!
	20	! Current revisions:
	21	! ------------------
	22	!
	23	!
	24	! Former revisions:
	25	! -----------------!
[3168]	26	! $Id: agent_preprocessing.f90 3216 2018-08-29 10:22:12Z schwenkel $
[3216]	27	! Bubfix for gfortran: reordering of type definitions
	28	!
	29	! 3210 2018-08-28 07:31:13Z sward
[3210]	30	! Bugfix: changed intrinsic SIZEOF to STORAGE_SIZE
	31	!
	32	! 3208 2018-08-27 13:10:50Z sward
[3208]	33	! Renamed nav_mesh to agent_preprocessing, adapted terminal output
	34	!
	35	! 3198 2018-08-15 09:23:10Z sward
[3198]	36	! Reduced tolerance_dp to 3 entries, fixed its initialization
	37	!
	38	! 3168 2018-07-25 06:40:29Z sward
[3168]	39	! Updated NetCDF ororgraphy and building input
	40	!
[3159]	41	! Initial revision
	42	!
	43	!
	44	! Description:
	45	! ------------
	46	!> Reads topography and building data and converts this information into a
	47	!> navigation mesh (NavMesh, a visibility graph). This mesh is necessary for
	48	!> the use of the Multi Agent System in PALM for the agents to navigate in
	49	!> complex (urban) terrain.
	50	!------------------------------------------------------------------------------!
	51
	52	MODULE kinds
	53
	54	IMPLICIT NONE
	55
	56	!
	57	!-- Floating point kinds
	58	INTEGER, PARAMETER :: sp = 4 !< single precision (32 bit)
	59	INTEGER, PARAMETER :: dp = 8 !< double precision (64 bit)
	60
	61	!
	62	!-- Integer kinds
	63	INTEGER, PARAMETER :: isp = SELECTED_INT_KIND( 9 ) !< single precision (32 bit)
	64	INTEGER, PARAMETER :: idp = SELECTED_INT_KIND( 14 ) !< double precision (64 bit)
	65
	66	!
	67	!-- Set kinds to be used as defaults
	68	INTEGER, PARAMETER :: wp = dp !< default real kind
	69	INTEGER, PARAMETER :: iwp = isp !< default integer kind
	70
	71	SAVE
	72
	73	END MODULE kinds
	74
	75	MODULE variables
	76
	77	USE kinds
	78
	79	CHARACTER(LEN=3) :: char_lod = 'lod' !< name of level-of-detail attribute in NetCDF file
	80	CHARACTER(LEN=10) :: char_fill = '_FillValue' !< name of fill value attribute in NetCDF file
	81	CHARACTER(LEN=128) :: runname !< Run name
[3168]	82
[3159]	83	LOGICAL :: internal_buildings = .FALSE. !< Flag that indicates whether buildings within closed courtyards should be deleted
[3168]	84	LOGICAL :: flag_2d = .FALSE. !< Flag that indicates that 2d buildings will be used in all cases
[3159]	85
	86	INTEGER(iwp) :: i !< Index along x
	87	INTEGER(iwp) :: j !< Index along y
	88	INTEGER(iwp) :: nx = 99999 !< Number of grid points in x-direction
	89	INTEGER(iwp) :: ny = 99999 !< Number of grid points in x-direction
	90	INTEGER(iwp) :: nov !< Number of vertices
	91	INTEGER(iwp) :: polygon_counter !< Iterator for the number of building polygons
	92	INTEGER(iwp) :: number_of_connections = 0 !< Counter for number of connections in mesh
	93	INTEGER(iwp) :: i_cn !< Min number of corners left in polygons after Douglas Poiker algorithm
	94	INTEGER(iwp) :: i_sc !< Cycle number for Douglas-Peucker algorithm
	95	INTEGER(iwp) :: nc_stat !< return value of nf90 function call
	96	INTEGER(iwp) :: vertex_counter !< Counter: total number of vertices
	97
	98	INTEGER, DIMENSION(:,:), ALLOCATABLE :: wall_flags_0 !< Bit-array containing surface information
	99	INTEGER, DIMENSION(:,:), ALLOCATABLE :: polygon_id !< Identifies each grid point as part of exactly one building
	100
	101	REAL(wp) :: ddx !< inverse of dx
	102	REAL(wp) :: ddy !< inverse of dy
	103	REAL(wp) :: dx = 99999.9_wp !< grid spacing in x-direction
	104	REAL(wp) :: dy = 99999.9_wp !< grid spacing in x-direction
	105	REAL(wp) :: dz = 99999.9_wp !< grid spacing in x-direction
	106	REAL(wp) :: finish !< variable for CPU time measurement
	107	REAL(wp) :: start !< variable for CPU time measurement
	108
[3198]	109	REAL(wp), DIMENSION(0:2) :: tolerance_dp = 999999.0_wp !< tolerance in Douglas-Peucker algorithm
[3159]	110
	111	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: obstacle_height !< height of obstacles
	112
	113	!
	114	!-- Define data structure where the dimension and type of the input depends
	115	!-- on the given level of detail.
	116	!-- For buildings, the input is either 2D float, or 3d byte.
	117	TYPE build_in
	118	INTEGER(iwp) :: lod = 1 !< level of detail
	119	INTEGER(KIND=1) :: fill2 = -127 !< fill value for lod = 2
	120	INTEGER(iwp) :: nz !< number of vertical layers in file
	121	INTEGER(KIND=1), DIMENSION(:,:,:), ALLOCATABLE :: var_3d !< 3d variable (lod = 2)
	122	REAL(wp), DIMENSION(:), ALLOCATABLE :: z !< vertical coordinate for 3D building, used for consistency check
	123	LOGICAL :: from_file = .FALSE. !< flag indicating whether an input variable is available and read from file or default values are used
	124	REAL(wp) :: fill1 = -9999.9_wp !< fill values for lod = 1
	125	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: var_2d !< 2d variable (lod = 1)
	126	END TYPE build_in
	127
	128	!
	129	!-- Topography grid point
	130	TYPE grid_point
	131	LOGICAL :: checked !< Flag to indicate whether this grid point has been evaluated already
	132	INTEGER(iwp) :: i !< x-index
	133	INTEGER(iwp) :: j !< y-index
	134	INTEGER(iwp) :: polygon_id !< ID of the polygon this grid point belongs to
	135	END TYPE grid_point
	136
	137	!
	138	!-- Node in the visibility graph navigation mesh
	139	TYPE mesh_point
	140	INTEGER(iwp) :: polygon_id !< Polygon the point belongs to
	141	INTEGER(iwp) :: vertex_id !< Vertex in the polygon
	142	INTEGER(iwp) :: noc !< number of connections
	143	INTEGER(iwp) :: origin_id !< ID of previous mesh point on path (A*)
	144	REAL(wp) :: cost_so_far !< Cost to reach this mesh point (A*)
	145	REAL(wp) :: x !< x-coordinate
	146	REAL(wp) :: y !< y-coordinate
	147	REAL(wp) :: x_s !< corner shifted outward from building by 1m (x)
	148	REAL(wp) :: y_s !< corner shifted outward from building by 1m (y)
	149	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: connected_vertices !< Index of connected vertices
	150	REAL(wp), DIMENSION(:), ALLOCATABLE :: distance_to_vertex !< Distance to each vertex
	151	END TYPE mesh_point
	152
	153	!
[3216]	154	!-- Vertex of a polygon
	155	TYPE vertex_type
	156	LOGICAL :: delete !< Flag to mark vertex for deletion
	157	REAL(wp) :: x !< x-coordinate
	158	REAL(wp) :: y !< y-coordinate
	159	END TYPE vertex_type
	160
	161	!
[3159]	162	!-- Polygon containing a number of vertices
	163	TYPE polygon_type
	164	INTEGER(iwp) :: nov !< Number of vertices in this polygon
	165	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: vertices !< Array of vertices
	166	END TYPE polygon_type
	167
	168	!
	169	!-- Define data type to read 2D real variables
	170	TYPE real_2d
	171	LOGICAL :: from_file = .FALSE. !< flag indicating whether an input variable is available and read from file or default values are used
	172	REAL(wp) :: fill = -9999.9_wp !< fill value
	173	REAL(wp), DIMENSION(:,:), ALLOCATABLE :: var !< respective variable
	174	END TYPE real_2d
	175
	176	!
	177	!-- Define data type to read 2D real variables
	178	TYPE real_3d
	179	LOGICAL :: from_file = .FALSE. !< flag indicating whether an input variable is available and read from file or default values are used
	180	INTEGER(iwp) :: nz !< number of grid points along vertical dimension
	181	REAL(wp) :: fill = -9999.9_wp !< fill value
	182	REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: var !< respective variable
	183	END TYPE real_3d
	184
	185	TYPE(grid_point), DIMENSION(:,:), ALLOCATABLE :: grid !< 2d Topography grid
	186
	187	TYPE(mesh_point), DIMENSION(:), ALLOCATABLE, TARGET :: mesh !< Navigation mesh
	188
	189	TYPE(real_2d) :: terrain_height_f !< input variable for terrain height
	190
	191	TYPE(vertex_type) :: dummy_vertex !< placeholder vertex used for data copying
	192	TYPE(vertex_type) :: null_vertex !< placeholder vertex used for initialisation
	193
	194	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: dummy_v_list !< Dummy for reallocation of polygon array
	195
	196	TYPE(polygon_type), POINTER :: polygon !< Current polygon
	197
	198	TYPE(polygon_type), DIMENSION(:), ALLOCATABLE, TARGET :: polygons !< Building polygons
	199
	200	TYPE(build_in) :: buildings_f !< input variable for buildings
	201
	202
	203	END MODULE variables
	204
	205	MODULE data_input
	206
	207	USE kinds
	208	USE variables
	209
	210	#if defined ( __netcdf )
	211	USE NETCDF
	212	#endif
	213
	214	INTERFACE get_variable
	215	MODULE PROCEDURE get_variable_1d_int
	216	MODULE PROCEDURE get_variable_1d_real
	217	MODULE PROCEDURE get_variable_2d_int8
	218	MODULE PROCEDURE get_variable_2d_int32
	219	MODULE PROCEDURE get_variable_2d_real
	220	MODULE PROCEDURE get_variable_3d_int8
	221	MODULE PROCEDURE get_variable_3d_real
	222	MODULE PROCEDURE get_variable_4d_real
	223	END INTERFACE get_variable
	224
	225	INTERFACE get_attribute
	226	MODULE PROCEDURE get_attribute_real
	227	MODULE PROCEDURE get_attribute_int8
	228	MODULE PROCEDURE get_attribute_int32
	229	MODULE PROCEDURE get_attribute_string
	230	END INTERFACE get_attribute
	231
	232	CONTAINS
	233
	234	!------------------------------------------------------------------------------!
	235	! Description:
	236	! ------------
	237	!> Reads orography and building information.
	238	!------------------------------------------------------------------------------!
	239	SUBROUTINE netcdf_data_input_topo ( input_trunk )
	240
	241	IMPLICIT NONE
	242
	243	CHARACTER(LEN=*) :: input_trunk !< run path
	244	CHARACTER(LEN=200) :: input_filename !< filename
	245
	246	CHARACTER(LEN=100), DIMENSION(:), ALLOCATABLE :: var_names !< variable names in static input file
	247
	248
	249	INTEGER(iwp) :: i !< running index along x-direction
	250	INTEGER(iwp) :: ii !< running index for IO blocks
	251	INTEGER(iwp) :: k_head !< minimum k index for agents to walk underneath overhanging buildings
	252	INTEGER(iwp) :: id_topo !< NetCDF id of topograhy input file
	253	INTEGER(iwp) :: j !< running index along y-direction
	254	INTEGER(iwp) :: k !< running index along z-direction
	255	INTEGER(iwp) :: num_vars !< number of variables in netcdf input file
	256	INTEGER(iwp) :: skip_n_rows !< counting variable to skip rows while reading topography file
	257
	258	LOGICAL :: netcdf_flag = .FALSE. !< indicates whether netcdf file is used for input
	259	LOGICAL :: lod_flag = .FALSE. !< true if 3d building data is used
	260	LOGICAL :: topo_file_flag = .FALSE. !< true if 3d building data is used
	261
	262	REAL(wp) :: dum !< dummy variable to skip columns while reading topography file
	263
	264	WRITE(*,'((X,A,/))') 'Looking for topography/building information'
	265	INQUIRE( FILE = TRIM( input_trunk )//'_static', EXIST = netcdf_flag )
	266
	267	IF ( netcdf_flag ) THEN
	268	input_filename = TRIM( input_trunk )//'_static'
	269	WRITE(*,'(2(3X,A,/))') 'Topography/building data will be used from', &
	270	TRIM( input_trunk )//'_static'
	271	ELSE
	272	WRITE(*,'(2(3X,A,/))') 'No static driver was found.', &
	273	'Trying to read building data from _topo file.'
	274	input_filename = TRIM( input_trunk )//'_topo'
	275	INQUIRE( FILE = TRIM( input_filename ), EXIST = topo_file_flag )
	276	IF ( .NOT. topo_file_flag ) THEN
	277	WRITE(*,'(6(3X,A,/))') &
	278	'No ASCII topography file was found in INPUT directory.', &
	279	'Make sure you provided building data in the form of either', &
	280	' (A) a static driver (<runname>_static) or', &
	281	' (B) an ASCII topography file (<runname>_topo).', &
	282	NEW_LINE('A')//'Aborting nav_mesh program...'
	283	STOP
	284	ENDIF
	285	WRITE(*,'(2(3X,A,/))') 'Topography/building data will be used from', &
	286	TRIM( input_trunk )//'_topo'
	287	ENDIF
	288
	289	!
	290	!-- Input via palm-input data standard
	291	IF ( netcdf_flag ) THEN
	292	#if defined ( __netcdf )
	293	!
	294	!-- Open file in read-only mode
	295	CALL open_read_file( TRIM(input_filename) , id_topo )
	296
	297	!
	298	!-- At first, inquire all variable names.
	299	!-- This will be used to check whether an input variable exist or not.
	300	nc_stat = NF90_INQUIRE( id_topo, NVARIABLES = num_vars )
	301	CALL handle_error( 'inquire_num_variables', 534 )
	302	!
	303	!-- Allocate memory to store variable names and inquire them.
	304	ALLOCATE( var_names(1:num_vars) )
	305	CALL inquire_variable_names( id_topo, var_names )
	306	!
	307	!-- Terrain height. First, get variable-related _FillValue attribute
[3168]	308	IF ( check_existence( var_names, 'zt' ) ) THEN
[3159]	309	terrain_height_f%from_file = .TRUE.
	310	CALL get_attribute( id_topo, char_fill, &
	311	terrain_height_f%fill, &
[3168]	312	.FALSE., 'zt' )
[3159]	313	!
	314	!-- PE-wise reading of 2D terrain height.
	315	ALLOCATE ( terrain_height_f%var(0:ny,0:nx) )
	316	DO i = 0, nx
[3168]	317	CALL get_variable( id_topo, 'zt', &
[3159]	318	i, terrain_height_f%var(:,i) )
	319	ENDDO
	320	ELSE
	321	terrain_height_f%from_file = .FALSE.
	322	ENDIF
	323
	324	!
	325	!-- Read building height. First, read its _FillValue attribute,
	326	!-- as well as lod attribute
[3168]	327	buildings_f%from_file = .FALSE.
	328	IF ( check_existence( var_names, 'buildings_2d' ) ) THEN
[3159]	329	buildings_f%from_file = .TRUE.
	330	CALL get_attribute( id_topo, char_lod, buildings_f%lod, &
[3168]	331	.FALSE., 'buildings_2d' )
[3159]	332
	333	CALL get_attribute( id_topo, char_fill, &
	334	buildings_f%fill1, &
[3168]	335	.FALSE., 'buildings_2d' )
[3159]	336
	337	!
	338	!-- Read 2D topography
	339	IF ( buildings_f%lod == 1 ) THEN
	340	ALLOCATE ( buildings_f%var_2d(0:ny,0:nx) )
	341	DO i = 0, nx
[3168]	342	CALL get_variable( id_topo, 'buildings_2d', &
[3159]	343	i, buildings_f%var_2d(:,i) )
	344	ENDDO
	345	ELSE
	346	WRITE(*,'(A)') 'NetCDF attribute lod ' // &
	347	'(level of detail) is not set properly.'
	348	ENDIF
	349	ENDIF
	350	!
	351	!-- If available, also read 3D building information. If both are
[3168]	352	!-- available, use 3D information. Do this only if the flag that indicates
	353	!-- that 2d buildings shall be used no matter what is false.
	354	IF ( check_existence( var_names, 'buildings_3d' ) &
	355	.AND. .NOT. flag_2d ) &
	356	THEN
[3159]	357	lod_flag = .TRUE.
	358	buildings_f%from_file = .TRUE.
	359	CALL get_attribute( id_topo, char_lod, buildings_f%lod, &
[3168]	360	.FALSE., 'buildings_3d' )
[3159]	361
	362	CALL get_attribute( id_topo, char_fill, &
	363	buildings_f%fill2, &
[3168]	364	.FALSE., 'buildings_3d' )
[3159]	365
	366	CALL get_dimension_length( id_topo, buildings_f%nz, 'z' )
	367
	368	IF ( buildings_f%lod == 2 ) THEN
	369	ALLOCATE( buildings_f%z(0:buildings_f%nz-1) )
	370	CALL get_variable( id_topo, 'z', buildings_f%z )
	371
	372	ALLOCATE( buildings_f%var_3d(0:buildings_f%nz-1, &
	373	0:ny,0:nx) )
	374	buildings_f%var_3d = 0
	375	!
	376	!-- Read data PE-wise. Read yz-slices.
	377	DO i = 0, nx
	378	DO j = 0, ny
[3168]	379	CALL get_variable( id_topo, 'buildings_3d', &
[3159]	380	i, j, &
	381	buildings_f%var_3d(:,j,i) )
	382	ENDDO
	383	ENDDO
	384	ELSE
	385	WRITE(*,'(A)') 'NetCDF attribute lod ' // &
	386	'(level of detail) is not set properly.'
	387	ENDIF
	388	ENDIF
	389
	390	!
	391	!-- Close topography input file
	392	CALL close_input_file( id_topo )
	393	#endif
	394	!
	395	!-- ASCII input
	396	ELSE
	397
	398	OPEN( 90, FILE= input_filename, &
	399	STATUS='OLD', FORM='FORMATTED' )
	400	!
	401	!-- Read data from nyn to nys and nxl to nxr. Therefore, skip
	402	!-- column until nxl-1 is reached
	403	ALLOCATE ( buildings_f%var_2d(0:ny,0:nx) )
	404	DO j = ny, 0, -1
	405	READ( 90, *, ERR=11, END=11 ) &
	406	( buildings_f%var_2d(j,i), i = 0, nx )
	407	ENDDO
	408
	409	GOTO 12
	410
	411	11 WRITE(*,'(2A)') 'errors in file ',input_filename
	412
	413	12 CLOSE( 90 )
	414	buildings_f%from_file = .TRUE.
	415
	416	ENDIF
	417	!
	418	!-- In case no terrain height is provided by static input file, allocate
	419	!-- array nevertheless and set terrain height to 0, which simplifies
	420	!-- topography initialization.
	421	IF ( .NOT. terrain_height_f%from_file ) THEN
	422	ALLOCATE ( terrain_height_f%var(0:ny,0:nx) )
	423	terrain_height_f%var = 0.0_wp
	424	ENDIF
	425
	426	!
	427	!-- Transfer read data to uniform format: For agents the only relevant
	428	!-- information is whether they can walk or not at ground level.
	429	k_head = CEILING(2./dz)
	430	IF ( buildings_f%from_file ) THEN
	431	IF ( lod_flag ) THEN
	432	obstacle_height(0:nx,0:ny) = 1.
	433	DO j = 0, ny
	434	DO i = 0, nx
	435	!
	436	!-- For this purpose, an overhanging structure that an angent
	437	!-- can walk beneath (e.g. a doorway) is not considered an
	438	!-- obstacle.
	439	IF ( ALL( buildings_f%var_3d(0:k_head,j,i) == 0 ) ) THEN
	440	obstacle_height(i,j) = 0.
	441	ENDIF
	442	ENDDO
	443	ENDDO
	444	ELSE
	445	DO j = 0, ny
	446	DO i = 0, nx
	447	obstacle_height(i,j) = buildings_f%var_2d(j,i)
	448	ENDDO
	449	ENDDO
	450	ENDIF
	451	ELSE
	452	WRITE(,) 'No building data was read from file. There will be no' //&
	453	'navigation data available to agents.'
	454	ENDIF
	455
	456	END SUBROUTINE netcdf_data_input_topo
	457
	458	!------------------------------------------------------------------------------!
	459	! Description:
	460	! ------------
	461	!> Checks if a given variables is on file
	462	!------------------------------------------------------------------------------!
	463	FUNCTION check_existence( vars_in_file, var_name )
	464
	465	IMPLICIT NONE
	466
	467	CHARACTER(LEN=*) :: var_name !< variable to be checked
	468	CHARACTER(LEN=*), DIMENSION(:) :: vars_in_file !< list of variables in file
	469
	470	INTEGER(iwp) :: i !< loop variable
	471
	472	LOGICAL :: check_existence !< flag indicating whether a variable exist or not - actual return value
	473
	474	i = 1
	475	check_existence = .FALSE.
	476	DO WHILE ( i <= SIZE( vars_in_file ) )
	477	check_existence = TRIM( vars_in_file(i) ) == TRIM( var_name ) .OR. &
	478	check_existence
	479	i = i + 1
	480	ENDDO
	481
	482	RETURN
	483
	484	END FUNCTION check_existence
	485
	486
	487	!------------------------------------------------------------------------------!
	488	! Description:
	489	! ------------
	490	!> Closes an existing netCDF file.
	491	!------------------------------------------------------------------------------!
	492	SUBROUTINE close_input_file( id )
	493	#if defined( __netcdf )
	494
	495	IMPLICIT NONE
	496
	497	INTEGER(iwp), INTENT(INOUT) :: id !< file id
	498
	499	nc_stat = NF90_CLOSE( id )
	500	CALL handle_error( 'close', 537 )
	501	#endif
	502	END SUBROUTINE close_input_file
	503
	504	!------------------------------------------------------------------------------!
	505	! Description:
	506	! ------------
	507	!> Opens an existing netCDF file for reading only and returns its id.
	508	!------------------------------------------------------------------------------!
	509	SUBROUTINE open_read_file( filename, id )
	510	#if defined( __netcdf )
	511
	512	IMPLICIT NONE
	513
	514	CHARACTER (LEN=*), INTENT(IN) :: filename !< filename
	515	INTEGER(iwp), INTENT(INOUT) :: id !< file id
	516	LOGICAL :: file_open = .FALSE.
	517
	518	nc_stat = NF90_OPEN( filename, NF90_NOWRITE, id )
	519
	520	CALL handle_error( 'open_read_file', 536 )
	521
	522	#endif
	523	END SUBROUTINE open_read_file
	524
	525
	526
	527	!------------------------------------------------------------------------------!
	528	! Description:
	529	! ------------
	530	!> Get dimension array for a given dimension
	531	!------------------------------------------------------------------------------!
	532	SUBROUTINE get_dimension_length( id, dim_len, variable_name )
	533	#if defined( __netcdf )
	534
	535	IMPLICIT NONE
	536
	537	CHARACTER(LEN=*) :: variable_name !< dimension name
	538	CHARACTER(LEN=100) :: dum !< dummy variable to receive return character
	539
	540	INTEGER(iwp) :: dim_len !< dimension size
	541	INTEGER(iwp), INTENT(IN) :: id !< file id
	542	INTEGER(iwp) :: id_dim !< dimension id
	543
	544	!
	545	!-- First, inquire dimension ID
	546	nc_stat = NF90_INQ_DIMID( id, TRIM( variable_name ), id_dim )
	547	CALL handle_error( 'get_dimension_length', 526 )
	548	!
	549	!-- Inquire dimension length
	550	nc_stat = NF90_INQUIRE_DIMENSION( id, id_dim, dum, LEN = dim_len )
	551	CALL handle_error( 'get_dimension_length', 526 )
	552
	553	#endif
	554	END SUBROUTINE get_dimension_length
	555
	556	!------------------------------------------------------------------------------!
	557	! Description:
	558	! ------------
	559	!> Reads a 1D integer variable from file.
	560	!------------------------------------------------------------------------------!
	561	SUBROUTINE get_variable_1d_int( id, variable_name, var )
	562
	563	IMPLICIT NONE
	564
	565	CHARACTER(LEN=*) :: variable_name !< variable name
	566
	567	INTEGER(iwp), INTENT(IN) :: id !< file id
	568	INTEGER(iwp) :: id_var !< dimension id
	569
	570	INTEGER(iwp), DIMENSION(:), INTENT(INOUT) :: var !< variable to be read
	571	#if defined( __netcdf )
	572
	573	!
	574	!-- First, inquire variable ID
	575	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	576	CALL handle_error( 'get_variable_1d_int', 527 )
	577	!
	578	!-- Inquire dimension length
	579	nc_stat = NF90_GET_VAR( id, id_var, var )
	580	CALL handle_error( 'get_variable_1d_int', 527 )
	581
	582	#endif
	583	END SUBROUTINE get_variable_1d_int
	584
	585	!------------------------------------------------------------------------------!
	586	! Description:
	587	! ------------
	588	!> Reads a 1D float variable from file.
	589	!------------------------------------------------------------------------------!
	590	SUBROUTINE get_variable_1d_real( id, variable_name, var )
	591
	592	IMPLICIT NONE
	593
	594	CHARACTER(LEN=*) :: variable_name !< variable name
	595
	596	INTEGER(iwp), INTENT(IN) :: id !< file id
	597	INTEGER(iwp) :: id_var !< dimension id
	598
	599	REAL(wp), DIMENSION(:), INTENT(INOUT) :: var !< variable to be read
	600	#if defined( __netcdf )
	601
	602	!
	603	!-- First, inquire variable ID
	604	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	605	CALL handle_error( 'get_variable_1d_real', 527 )
	606	!
	607	!-- Inquire dimension length
	608	nc_stat = NF90_GET_VAR( id, id_var, var )
	609	CALL handle_error( 'get_variable_1d_real', 527 )
	610
	611	#endif
	612	END SUBROUTINE get_variable_1d_real
	613
	614	!------------------------------------------------------------------------------!
	615	! Description:
	616	! ------------
	617	!> Reads a 2D REAL variable from a file. Reading is done processor-wise,
	618	!> i.e. each core reads its own domain in slices along x.
	619	!------------------------------------------------------------------------------!
	620	SUBROUTINE get_variable_2d_real( id, variable_name, i, var )
	621
	622	IMPLICIT NONE
	623
	624	CHARACTER(LEN=*) :: variable_name !< variable name
	625
	626	INTEGER(iwp), INTENT(IN) :: i !< index along x direction
	627	INTEGER(iwp), INTENT(IN) :: id !< file id
	628	INTEGER(iwp) :: id_var !< variable id
	629
	630	REAL(wp), DIMENSION(0:ny), INTENT(INOUT) :: var !< variable to be read
	631	#if defined( __netcdf )
	632	!
	633	!-- Inquire variable id
	634	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	635	!
	636	!-- Get variable
	637	nc_stat = NF90_GET_VAR( id, id_var, var(0:ny), &
	638	start = (/ i+1, 1 /), &
	639	count = (/ 1, ny + 1 /) )
	640
	641	CALL handle_error( 'get_variable_2d_real', 528 )
	642	#endif
	643	END SUBROUTINE get_variable_2d_real
	644
	645	!------------------------------------------------------------------------------!
	646	! Description:
	647	! ------------
	648	!> Reads a 2D 32-bit INTEGER variable from file. Reading is done processor-wise,
	649	!> i.e. each core reads its own domain in slices along x.
	650	!------------------------------------------------------------------------------!
	651	SUBROUTINE get_variable_2d_int32( id, variable_name, i, var )
	652
	653	IMPLICIT NONE
	654
	655	CHARACTER(LEN=*) :: variable_name !< variable name
	656
	657	INTEGER(iwp), INTENT(IN) :: i !< index along x direction
	658	INTEGER(iwp), INTENT(IN) :: id !< file id
	659	INTEGER(iwp) :: id_var !< variable id
	660	INTEGER(iwp), DIMENSION(0:ny), INTENT(INOUT) :: var !< variable to be read
	661	#if defined( __netcdf )
	662	!
	663	!-- Inquire variable id
	664	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	665	!
	666	!-- Get variable
	667	nc_stat = NF90_GET_VAR( id, id_var, var(0:ny), &
	668	start = (/ i+1, 1 /), &
	669	count = (/ 1, ny + 1 /) )
	670
	671	CALL handle_error( 'get_variable_2d_int32', 529 )
	672	#endif
	673	END SUBROUTINE get_variable_2d_int32
	674
	675	!------------------------------------------------------------------------------!
	676	! Description:
	677	! ------------
	678	!> Reads a 2D 8-bit INTEGER variable from file. Reading is done processor-wise,
	679	!> i.e. each core reads its own domain in slices along x.
	680	!------------------------------------------------------------------------------!
	681	SUBROUTINE get_variable_2d_int8( id, variable_name, i, var )
	682
	683	IMPLICIT NONE
	684
	685	CHARACTER(LEN=*) :: variable_name !< variable name
	686
	687	INTEGER(iwp), INTENT(IN) :: i !< index along x direction
	688	INTEGER(iwp), INTENT(IN) :: id !< file id
	689	INTEGER(iwp) :: id_var !< variable id
	690	INTEGER(KIND=1), DIMENSION(0:ny), INTENT(INOUT) :: var !< variable to be read
	691	#if defined( __netcdf )
	692	!
	693	!-- Inquire variable id
	694	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	695	!
	696	!-- Get variable
	697	nc_stat = NF90_GET_VAR( id, id_var, var(0:ny), &
	698	start = (/ i+1, 1 /), &
	699	count = (/ 1, ny + 1 /) )
	700
	701	CALL handle_error( 'get_variable_2d_int8', 530 )
	702	#endif
	703	END SUBROUTINE get_variable_2d_int8
	704
	705	!------------------------------------------------------------------------------!
	706	! Description:
	707	! ------------
	708	!> Reads a 3D 8-bit INTEGER variable from file.
	709	!------------------------------------------------------------------------------!
	710	SUBROUTINE get_variable_3d_int8( id, variable_name, i, j, var )
	711
	712	IMPLICIT NONE
	713
	714	CHARACTER(LEN=*) :: variable_name !< variable name
	715
	716	INTEGER(iwp), INTENT(IN) :: i !< index along x direction
	717	INTEGER(iwp), INTENT(IN) :: id !< file id
	718	INTEGER(iwp) :: id_var !< variable id
	719	INTEGER(iwp), INTENT(IN) :: j !< index along y direction
	720	INTEGER(iwp) :: n_file !< number of data-points along 3rd dimension
	721
	722	INTEGER(iwp), DIMENSION(1:3) :: id_dim
	723
	724	INTEGER( KIND = 1 ), DIMENSION(0:buildings_f%nz-1), INTENT(INOUT) :: var !< variable to be read
	725	#if defined( __netcdf )
	726
	727	!
	728	!-- Inquire variable id
	729	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	730	!
	731	!-- Get length of first dimension, required for the count parameter.
	732	!-- Therefore, first inquired dimension ids
	733	nc_stat = NF90_INQUIRE_VARIABLE( id, id_var, DIMIDS = id_dim )
	734	nc_stat = NF90_INQUIRE_DIMENSION( id, id_dim(3), LEN = n_file )
	735	!
	736	!-- Get variable
	737	nc_stat = NF90_GET_VAR( id, id_var, var, &
	738	start = (/ i+1, j+1, 1 /), &
	739	count = (/ 1, 1, n_file /) )
	740
	741	CALL handle_error( 'get_variable_3d_int8', 531 )
	742	#endif
	743	END SUBROUTINE get_variable_3d_int8
	744
	745
	746	!------------------------------------------------------------------------------!
	747	! Description:
	748	! ------------
	749	!> Reads a 3D float variable from file.
	750	!------------------------------------------------------------------------------!
	751	SUBROUTINE get_variable_3d_real( id, variable_name, i, j, var )
	752
	753	IMPLICIT NONE
	754
	755	CHARACTER(LEN=*) :: variable_name !< variable name
	756
	757	INTEGER(iwp), INTENT(IN) :: i !< index along x direction
	758	INTEGER(iwp), INTENT(IN) :: id !< file id
	759	INTEGER(iwp) :: id_var !< variable id
	760	INTEGER(iwp), INTENT(IN) :: j !< index along y direction
	761	INTEGER(iwp) :: n3 !< number of data-points along 3rd dimension
	762
	763	INTEGER(iwp), DIMENSION(3) :: id_dim
	764
	765	REAL(wp), DIMENSION(:), INTENT(INOUT) :: var !< variable to be read
	766	#if defined( __netcdf )
	767
	768	!
	769	!-- Inquire variable id
	770	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	771	!
	772	!-- Get length of first dimension, required for the count parameter.
	773	!-- Therefore, first inquired dimension ids
	774	nc_stat = NF90_INQUIRE_VARIABLE( id, id_var, DIMIDS = id_dim )
	775	nc_stat = NF90_INQUIRE_DIMENSION( id, id_dim(3), LEN = n3 )
	776	!
	777	!-- Get variable
	778	nc_stat = NF90_GET_VAR( id, id_var, var, &
	779	start = (/ i+1, j+1, 1 /), &
	780	count = (/ 1, 1, n3 /) )
	781
	782	CALL handle_error( 'get_variable_3d_real', 532 )
	783	#endif
	784	END SUBROUTINE get_variable_3d_real
	785
	786
	787	!------------------------------------------------------------------------------!
	788	! Description:
	789	! ------------
	790	!> Reads a 4D float variable from file. Note, in constrast to 3D versions,
	791	!> dimensions are already inquired and passed so that they are known here.
	792	!------------------------------------------------------------------------------!
	793	SUBROUTINE get_variable_4d_real( id, variable_name, i, j, var, n3, n4 )
	794
	795	IMPLICIT NONE
	796
	797	CHARACTER(LEN=*) :: variable_name !< variable name
	798
	799	INTEGER(iwp), INTENT(IN) :: i !< index along x direction
	800	INTEGER(iwp), INTENT(IN) :: id !< file id
	801	INTEGER(iwp) :: id_var !< variable id
	802	INTEGER(iwp), INTENT(IN) :: j !< index along y direction
	803	INTEGER(iwp), INTENT(IN) :: n3 !< number of data-points along 3rd dimension
	804	INTEGER(iwp), INTENT(IN) :: n4 !< number of data-points along 4th dimension
	805
	806	INTEGER(iwp), DIMENSION(3) :: id_dim
	807
	808	REAL(wp), DIMENSION(:,:), INTENT(INOUT) :: var !< variable to be read
	809	#if defined( __netcdf )
	810
	811	!
	812	!-- Inquire variable id
	813	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	814	!
	815	!-- Get variable
	816	nc_stat = NF90_GET_VAR( id, id_var, var, &
	817	start = (/ i+1, j+1, 1, 1 /), &
	818	count = (/ 1, 1, n3, n4 /) )
	819
	820	CALL handle_error( 'get_variable_4d_real', 533 )
	821	#endif
	822	END SUBROUTINE get_variable_4d_real
	823
	824	!------------------------------------------------------------------------------!
	825	! Description:
	826	! ------------
	827	!> Prints out a text message corresponding to the current status.
	828	!------------------------------------------------------------------------------!
	829	SUBROUTINE handle_error( routine_name, errno )
	830
	831	IMPLICIT NONE
	832
	833	CHARACTER(LEN=6) :: message_identifier
	834	CHARACTER(LEN=*) :: routine_name
	835	CHARACTER(LEN=100) :: message_string
	836
	837	INTEGER(iwp) :: errno
	838	#if defined( __netcdf )
	839
	840	IF ( nc_stat /= NF90_NOERR ) THEN
	841
	842	WRITE( message_identifier, '(''NC'',I4.4)' ) errno
	843
	844	message_string = TRIM( NF90_STRERROR( nc_stat ) )
	845
	846	WRITE(,) routine_name,' ', message_identifier,' ', TRIM(message_string)
	847	WRITE(,) 'Aborting NavMesh-tool'
	848
	849	ENDIF
	850
	851	#endif
	852	END SUBROUTINE handle_error
	853
	854
	855	!------------------------------------------------------------------------------!
	856	! Description:
	857	! ------------
	858	!> Inquires the variable names belonging to a file.
	859	!------------------------------------------------------------------------------!
	860	SUBROUTINE inquire_variable_names( id, var_names )
	861
	862	IMPLICIT NONE
	863
	864	CHARACTER(LEN=*), DIMENSION(:), INTENT(INOUT) :: var_names !< return variable - variable names
	865	INTEGER(iwp) :: i !< loop variable
	866	INTEGER(iwp), INTENT(IN) :: id !< file id
	867	INTEGER(iwp) :: num_vars !< number of variables (unused return parameter)
	868	INTEGER(iwp), DIMENSION(:), ALLOCATABLE :: varids !< dummy array to strore variable ids temporarily
	869	#if defined( __netcdf )
	870
	871	ALLOCATE( varids(1:SIZE(var_names)) )
	872	nc_stat = NF90_INQ_VARIDS( id, NVARS = num_vars, VARIDS = varids )
	873	CALL handle_error( 'inquire_variable_names', 535 )
	874
	875	DO i = 1, SIZE(var_names)
	876	nc_stat = NF90_INQUIRE_VARIABLE( id, varids(i), NAME = var_names(i) )
	877	CALL handle_error( 'inquire_variable_names', 535 )
	878	ENDDO
	879
	880	DEALLOCATE( varids )
	881	#endif
	882	END SUBROUTINE inquire_variable_names
	883
	884	!------------------------------------------------------------------------------!
	885	! Description:
	886	! ------------
	887	!> Reads global or variable-related attributes of type INTEGER (32-bit)
	888	!------------------------------------------------------------------------------!
	889	SUBROUTINE get_attribute_int32( id, attribute_name, value, global, &
	890	variable_name )
	891
	892	IMPLICIT NONE
	893
	894	CHARACTER(LEN=*) :: attribute_name !< attribute name
	895	CHARACTER(LEN=*), OPTIONAL :: variable_name !< variable name
	896
	897	INTEGER(iwp), INTENT(IN) :: id !< file id
	898	INTEGER(iwp) :: id_var !< variable id
	899	INTEGER(iwp), INTENT(INOUT) :: value !< read value
	900
	901	LOGICAL, INTENT(IN) :: global !< flag indicating global attribute
	902	#if defined( __netcdf )
	903
	904	!
	905	!-- Read global attribute
	906	IF ( global ) THEN
	907	nc_stat = NF90_GET_ATT( id, NF90_GLOBAL, TRIM( attribute_name ), value )
	908	CALL handle_error( 'get_attribute_int32 global', 522 )
	909	!
	910	!-- Read attributes referring to a single variable. Therefore, first inquire
	911	!-- variable id
	912	ELSE
	913	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	914	CALL handle_error( 'get_attribute_int32', 522 )
	915	nc_stat = NF90_GET_ATT( id, id_var, TRIM( attribute_name ), value )
	916	CALL handle_error( 'get_attribute_int32', 522 )
	917	ENDIF
	918	#endif
	919	END SUBROUTINE get_attribute_int32
	920
	921	!------------------------------------------------------------------------------!
	922	! Description:
	923	! ------------
	924	!> Reads global or variable-related attributes of type INTEGER (8-bit)
	925	!------------------------------------------------------------------------------!
	926	SUBROUTINE get_attribute_int8( id, attribute_name, value, global, &
	927	variable_name )
	928
	929	IMPLICIT NONE
	930
	931	CHARACTER(LEN=*) :: attribute_name !< attribute name
	932	CHARACTER(LEN=*), OPTIONAL :: variable_name !< variable name
	933
	934	INTEGER(iwp), INTENT(IN) :: id !< file id
	935	INTEGER(iwp) :: id_var !< variable id
	936	INTEGER(KIND=1), INTENT(INOUT) :: value !< read value
	937
	938	LOGICAL, INTENT(IN) :: global !< flag indicating global attribute
	939	#if defined( __netcdf )
	940
	941	!
	942	!-- Read global attribute
	943	IF ( global ) THEN
	944	nc_stat = NF90_GET_ATT( id, NF90_GLOBAL, TRIM( attribute_name ), value )
	945	CALL handle_error( 'get_attribute_int8 global', 523 )
	946	!
	947	!-- Read attributes referring to a single variable. Therefore, first inquire
	948	!-- variable id
	949	ELSE
	950	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	951	CALL handle_error( 'get_attribute_int8', 523 )
	952	nc_stat = NF90_GET_ATT( id, id_var, TRIM( attribute_name ), value )
	953	CALL handle_error( 'get_attribute_int8', 523 )
	954	ENDIF
	955	#endif
	956	END SUBROUTINE get_attribute_int8
	957
	958	!------------------------------------------------------------------------------!
	959	! Description:
	960	! ------------
	961	!> Reads global or variable-related attributes of type REAL
	962	!------------------------------------------------------------------------------!
	963	SUBROUTINE get_attribute_real( id, attribute_name, value, global, &
	964	variable_name )
	965
	966	IMPLICIT NONE
	967
	968	CHARACTER(LEN=*) :: attribute_name !< attribute name
	969	CHARACTER(LEN=*), OPTIONAL :: variable_name !< variable name
	970
	971	INTEGER(iwp), INTENT(IN) :: id !< file id
	972	INTEGER(iwp) :: id_var !< variable id
	973
	974	LOGICAL, INTENT(IN) :: global !< flag indicating global attribute
	975
	976	REAL(wp), INTENT(INOUT) :: value !< read value
	977	#if defined( __netcdf )
	978
	979
	980	!
	981	!-- Read global attribute
	982	IF ( global ) THEN
	983	nc_stat = NF90_GET_ATT( id, NF90_GLOBAL, TRIM( attribute_name ), value )
	984	CALL handle_error( 'get_attribute_real global', 524 )
	985	!
	986	!-- Read attributes referring to a single variable. Therefore, first inquire
	987	!-- variable id
	988	ELSE
	989	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	990	CALL handle_error( 'get_attribute_real', 524 )
	991	nc_stat = NF90_GET_ATT( id, id_var, TRIM( attribute_name ), value )
	992	CALL handle_error( 'get_attribute_real', 524 )
	993	ENDIF
	994	#endif
	995	END SUBROUTINE get_attribute_real
	996
	997	!------------------------------------------------------------------------------!
	998	! Description:
	999	! ------------
	1000	!> Reads global or variable-related attributes of type CHARACTER
	1001	!> Remark: reading attributes of type NF_STRING return an error code 56 -
	1002	!> Attempt to convert between text & numbers.
	1003	!------------------------------------------------------------------------------!
	1004	SUBROUTINE get_attribute_string( id, attribute_name, value, global, &
	1005	variable_name )
	1006
	1007	IMPLICIT NONE
	1008
	1009	CHARACTER(LEN=*) :: attribute_name !< attribute name
	1010	CHARACTER(LEN=*), OPTIONAL :: variable_name !< variable name
	1011	CHARACTER(LEN=*), INTENT(INOUT) :: value !< read value
	1012
	1013	INTEGER(iwp), INTENT(IN) :: id !< file id
	1014	INTEGER(iwp) :: id_var !< variable id
	1015
	1016	LOGICAL, INTENT(IN) :: global !< flag indicating global attribute
	1017	#if defined( __netcdf )
	1018
	1019	!
	1020	!-- Read global attribute
	1021	IF ( global ) THEN
	1022	nc_stat = NF90_GET_ATT( id, NF90_GLOBAL, TRIM( attribute_name ), value )
	1023	CALL handle_error( 'get_attribute_string global', 525 )
	1024	!
	1025	!-- Read attributes referring to a single variable. Therefore, first inquire
	1026	!-- variable id
	1027	ELSE
	1028	nc_stat = NF90_INQ_VARID( id, TRIM( variable_name ), id_var )
	1029	CALL handle_error( 'get_attribute_string', 525 )
	1030
	1031	nc_stat = NF90_GET_ATT( id, id_var, TRIM( attribute_name ), value )
	1032	CALL handle_error( 'get_attribute_string',525 )
	1033	ENDIF
	1034	#endif
	1035	END SUBROUTINE get_attribute_string
	1036
	1037	END MODULE
	1038
	1039	MODULE mod_functions
	1040
	1041	USE kinds
	1042
	1043	PRIVATE
	1044	PUBLIC dist_point_to_edge, intersect, is_left, is_right
	1045
	1046	CONTAINS
	1047
	1048	!
	1049	!-- Calculates distance of point P to edge (A,B). If A = B, calculates
	1050	!-- point-to-point distance from A/B to P
	1051	FUNCTION dist_point_to_edge ( a_x, a_y, b_x, b_y, p_x, p_y )
	1052
	1053	IMPLICIT NONE
	1054
	1055	REAL(wp) :: ab_x !< x-coordinate of vector from A to B
	1056	REAL(wp) :: ab_y !< y-coordinate of vector from A to B
	1057	REAL(wp) :: ab_d !< inverse length of vector from A to B
	1058	REAL(wp) :: ab_u_x !< x-coordinate of vector with direction of ab and length 1
	1059	REAL(wp) :: ab_u_y !< y-coordinate of vector with direction of ab and length 1
	1060	REAL(wp) :: ba_x !< x-coordinate of vector from B to A
	1061	REAL(wp) :: ba_y !< y-coordinate of vector from B to A
	1062	REAL(wp) :: ap_x !< x-coordinate of vector from A to P
	1063	REAL(wp) :: ap_y !< y-coordinate of vector from A to P
	1064	REAL(wp) :: bp_x !< x-coordinate of vector from B to P
	1065	REAL(wp) :: bp_y !< y-coordinate of vector from B to P
	1066	REAL(wp) :: a_x !< x-coordinate of point A of edge
	1067	REAL(wp) :: a_y !< y-coordinate of point A of edge
	1068	REAL(wp) :: b_x !< x-coordinate of point B of edge
	1069	REAL(wp) :: b_y !< y-coordinate of point B of edge
	1070	REAL(wp) :: p_x !< x-coordinate of point P
	1071	REAL(wp) :: p_y !< y-coordinate of point P
	1072	REAL(wp) :: dist_x !< x-coordinate of point P
	1073	REAL(wp) :: dist_y !< y-coordinate of point P
	1074	REAL(wp) :: dist_point_to_edge !< y-coordinate of point P
	1075
	1076	ab_x = - a_x + b_x
	1077	ab_y = - a_y + b_y
	1078	ba_x = - b_x + a_x
	1079	ba_y = - b_y + a_y
	1080	ap_x = - a_x + p_x
	1081	ap_y = - a_y + p_y
	1082	bp_x = - b_x + p_x
	1083	bp_y = - b_y + p_y
	1084
	1085	IF ( ab_x * ap_x + ab_y * ap_y <= 0. ) THEN
	1086	dist_point_to_edge = SQRT((a_x - p_x)2 + (a_y - p_y)2)
	1087	ELSEIF ( ba_x * bp_x + ba_y * bp_y <= 0. ) THEN
	1088	dist_point_to_edge = SQRT((b_x - p_x)2 + (b_y - p_y)2)
	1089	ELSE
	1090	ab_d = 1./SQRT((ab_x)2+(ab_y)2)
	1091	ab_u_x = ab_x*ab_d
	1092	ab_u_y = ab_y*ab_d
	1093	dist_x = ap_x - (ap_xab_u_x+ap_yab_u_y)*ab_u_x
	1094	dist_y = ap_y - (ap_xab_u_x+ap_yab_u_y)*ab_u_y
	1095	dist_point_to_edge = SQRT( dist_x2 + dist_y2 )
	1096	ENDIF
	1097
	1098	RETURN
	1099
	1100	END FUNCTION dist_point_to_edge
	1101
	1102	!
	1103	!-- Returns true if the line segments AB and PQ share an intersection
	1104	FUNCTION intersect ( ax, ay, bx, by, px, py, qx, qy )
	1105
	1106	IMPLICIT NONE
	1107
	1108	LOGICAL :: intersect !< return value; TRUE if intersection was found
	1109	LOGICAL :: la !< T if a is left of PQ
	1110	LOGICAL :: lb !< T if b is left of PQ
	1111	LOGICAL :: lp !< T if p is left of AB
	1112	LOGICAL :: lq !< T if q is left of AB
	1113	LOGICAL :: poss !< flag that indicates if an intersection is still possible
	1114	LOGICAL :: ra !< T if a is right of PQ
	1115	LOGICAL :: rb !< T if b is right of PQ
	1116	LOGICAL :: rp !< T if p is right of AB
	1117	LOGICAL :: rq !< T if q is right of AB
	1118
	1119	REAL(wp) :: ax !< x-coordinate of point A
	1120	REAL(wp) :: ay !< y-coordinate of point A
	1121	REAL(wp) :: bx !< x-coordinate of point B
	1122	REAL(wp) :: by !< y-coordinate of point B
	1123	REAL(wp) :: px !< x-coordinate of point P
	1124	REAL(wp) :: py !< y-coordinate of point P
	1125	REAL(wp) :: qx !< x-coordinate of point Q
	1126	REAL(wp) :: qy !< y-coordinate of point Q
	1127
	1128	intersect = .FALSE.
	1129	poss = .FALSE.
	1130	!
	1131	!-- Intersection is possible only if P and Q are on opposing sides of AB
	1132	lp = is_left(ax,ay,bx,by,px,py)
	1133	rq = is_right(ax,ay,bx,by,qx,qy)
	1134	IF ( lp .AND. rq ) poss = .TRUE.
	1135	IF ( .NOT. poss ) THEN
	1136	lq = is_left(ax,ay,bx,by,qx,qy)
	1137	rp = is_right(ax,ay,bx,by,px,py)
	1138	IF ( lq .AND. rp ) poss = .TRUE.
	1139	ENDIF
	1140	!
	1141	!-- Intersection occurs only if above test (poss) was true AND
	1142	!-- A and B are on opposing sides of PQ
	1143	IF ( poss ) THEN
	1144	la = is_left(px,py,qx,qy,ax,ay)
	1145	rb = is_right(px,py,qx,qy,bx,by)
	1146	IF ( la .AND. rb ) intersect = .TRUE.
	1147	IF ( .NOT. intersect ) THEN
	1148	lb = is_left(px,py,qx,qy,bx,by)
	1149	ra = is_right(px,py,qx,qy,ax,ay)
	1150	IF ( lb .AND. ra ) intersect = .TRUE.
	1151	ENDIF
	1152	ENDIF
	1153
	1154	RETURN
	1155
	1156	END FUNCTION intersect
	1157
	1158	!
	1159	!-- Calculates if point P is left of the infinite
	1160	!-- line that contains A and B (direction: A to B)
	1161	!-- Concept: 2D rotation of two vectors
	1162	FUNCTION is_left ( ax, ay, bx, by, px, py )
	1163
	1164	IMPLICIT NONE
	1165
	1166	LOGICAL :: is_left !< return value; TRUE if P is left of AB
	1167
	1168	REAL(wp) :: ax !< x-coordinate of point A
	1169	REAL(wp) :: ay !< y-coordinate of point A
	1170	REAL(wp) :: bx !< x-coordinate of point B
	1171	REAL(wp) :: by !< y-coordinate of point B
	1172	REAL(wp) :: px !< x-coordinate of point P
	1173	REAL(wp) :: py !< y-coordinate of point P
	1174	!
	1175	!-- 2D-rotation
	1176	is_left = (bx-ax)(py-ay)-(px-ax)(by-ay) > 0
	1177	!
	1178	!-- False if the point is on the line (or very close)
	1179	IF ( (ABS(ax-px) < .001 .AND. ABS(ay-py) < .001) .OR. &
	1180	(ABS(bx-px) < .001 .AND. ABS(by-py) < .001) ) &
	1181	THEN
	1182	is_left = .FALSE.
	1183	ENDIF
	1184
	1185	RETURN
	1186
	1187	END FUNCTION is_left
	1188
	1189	!
	1190	!-- Calculates if point P is right of the infinite
	1191	!-- line that contains A and B (direction: A to B)
	1192	!-- Concept: 2D rotation of two vectors
	1193	FUNCTION is_right ( ax, ay, bx, by, px, py )
	1194
	1195	IMPLICIT NONE
	1196
	1197	LOGICAL :: is_right !< return value; TRUE if P is right of AB
	1198
	1199	REAL(wp), INTENT(IN) :: ax !< x-coordinate of point A
	1200	REAL(wp), INTENT(IN) :: ay !< y-coordinate of point A
	1201	REAL(wp), INTENT(IN) :: bx !< x-coordinate of point B
	1202	REAL(wp), INTENT(IN) :: by !< y-coordinate of point B
	1203	REAL(wp), INTENT(IN) :: px !< x-coordinate of point P
	1204	REAL(wp), INTENT(IN) :: py !< y-coordinate of point P
	1205
	1206	!
	1207	!-- 2D-rotation
	1208	is_right = (bx-ax)(py-ay)-(px-ax)(by-ay) < 0
	1209	!
	1210	!-- False if the point is on the line (or very close)
	1211	IF ( (ABS(ax-px) < .001 .AND. ABS(ay-py) < .001) .OR. &
	1212	(ABS(bx-px) < .001 .AND. ABS(by-py) < .001) ) &
	1213	THEN
	1214	is_right = .FALSE.
	1215	ENDIF
	1216
	1217	RETURN
	1218
	1219	END FUNCTION is_right
	1220
	1221	END MODULE mod_functions
	1222
	1223	MODULE polygon_creation
	1224
	1225	USE kinds
	1226
	1227	USE mod_functions
	1228
	1229	USE variables
	1230
	1231	USE data_input
	1232
	1233	CONTAINS
	1234
	1235	!------------------------------------------------------------------------------!
	1236	! Description:
	1237	! ------------
	1238	!> Initialisation, allocation, and reading of some input
	1239	!------------------------------------------------------------------------------!
	1240	SUBROUTINE init
	1241
	1242	IMPLICIT NONE
	1243
	1244	CHARACTER(LEN=20) :: FMT
	1245	CHARACTER(LEN=200) :: dirname
	1246	CHARACTER(LEN=200) :: rundir
	1247	CHARACTER(LEN=200) :: input_trunk
	1248	CHARACTER (LEN=80) :: line !<
	1249
	1250	CHARACTER(LEN=2),DIMENSION(1:5) :: run_pars
	1251
	1252	INTEGER(iwp) :: status
	1253	INTEGER(iwp) :: getcwd
	1254	INTEGER(iwp) :: ie
	1255	INTEGER(iwp) :: is
	1256
	1257	LOGICAL :: p3d_flag = .FALSE. !< indicates whether p3d file was found
	1258
[3168]	1259	NAMELIST /prepro_par/ flag_2d, internal_buildings, tolerance_dp
[3159]	1260
	1261	WRITE(*,'(X,A)') &
	1262	"o----------------------------------------------o", &
	1263	"\| o------------------------------------------o \|", &
[3208]	1264	"\| \| __ ____ ____ ____ \| \|", &
	1265	"\| \| / _\ ( _ \(_ _) ___ ( _ \ \| \|", &
	1266	"\| \| / \ ) __/ )( (___) ) __/ \| \|", &
	1267	"\| \| \_/\_/(__) (__) (__) \| \|", &
[3159]	1268	"\| \| \| \|", &
[3208]	1269	"\| \| Agent Preprocessing Tool for PALM \| \|", &
[3159]	1270	"\| o------------------------------------------o \|", &
	1271	"o----------------------------------------------o"
[3208]	1272
[3159]	1273	!
	1274	!-- Identify run name and Input files
	1275	status = getcwd( dirname )
	1276	IF ( status /= 0 ) STOP 'getcwd: error'
	1277	ie = INDEX(dirname, '/', BACK=.TRUE.)
	1278	is = INDEX(dirname(1:ie-1), '/', BACK=.TRUE.)
[3208]	1279	IF ( TRIM(ADJUSTL(dirname(ie+1:))) /= 'INPUT' ) THEN
	1280	WRITE(*,'(3X,A)') 'NavMesh was called from', &
	1281	' ', TRIM(ADJUSTL(dirname)), ' ', &
	1282	'and is now aborting. Please call this tool', &
	1283	'from the INPUT-folder of your job directory.'
	1284	STOP
	1285	ENDIF
[3159]	1286	runname = TRIM(ADJUSTL(dirname(is+1:ie-1)))
	1287	rundir = TRIM(ADJUSTL(dirname(1:ie)))
	1288	input_trunk = TRIM(rundir)//'INPUT/'//TRIM(runname)
[3208]	1289
[3159]	1290	!
	1291	!-- Check for parameter file
	1292	INQUIRE( FILE = TRIM( input_trunk )//'_p3d', EXIST = p3d_flag )
	1293	IF ( .NOT. p3d_flag ) THEN
	1294	WRITE(*,'(3(3X,A,/))') 'No _p3d file was found. Aborting.', &
	1295	'I was looking for the file', &
	1296	TRIM( input_trunk )//'_p3d'
	1297	STOP
	1298	ELSE
	1299	WRITE(*,'(2(3X,A,/))') 'The following input file will be used:', &
	1300	TRIM( input_trunk )//'_p3d'
	1301	ENDIF
	1302
	1303	!
	1304	!-- Read run parameters from run parameter file (_p3d), though not from
	1305	!-- namelist.
	1306	run_pars = (/'dx','dy','dz','nx','ny'/)
	1307	OPEN ( 11, FILE=TRIM(input_trunk)//'_p3d', FORM='FORMATTED', &
	1308	STATUS='OLD' )
	1309	DO i = 1, SIZE(run_pars)
	1310	REWIND ( 11 )
	1311	line = ' '
	1312	DO WHILE ( INDEX( line, run_pars(i) ) == 0 )
	1313	READ ( 11, '(A)', END=10 ) line
	1314	IF ( INDEX(line, '!') /= 0 ) THEN
	1315	IF ( INDEX(line, run_pars(i)) > INDEX(line, '!' ) ) THEN
	1316	line = ' '
	1317	CYCLE
	1318	ENDIF
	1319	ENDIF
	1320	ENDDO
	1321	line = TRIM(ADJUSTL(line(INDEX(line,'=')+1:INDEX(line,',')-1)))
	1322	SELECT CASE (i)
	1323	CASE(1)
	1324	READ(line,*) dx
	1325	CASE(2)
	1326	READ(line,*) dy
	1327	CASE(3)
	1328	READ(line,*) dz
	1329	CASE(4)
	1330	READ(line,*) nx
	1331	CASE(5)
	1332	READ(line,*) ny
	1333	CASE DEFAULT
	1334	END SELECT
	1335	ENDDO
	1336	10 CONTINUE
	1337
	1338	!
	1339	!-- Try to find prepro package
	1340	REWIND ( 11 )
	1341	line = ' '
	1342	DO WHILE ( INDEX( line, '&prepro_par' ) == 0 )
	1343	READ ( 11, '(A)', END=20 ) line
	1344	ENDDO
	1345	BACKSPACE ( 11 )
	1346
	1347	!
	1348	!-- Read user-defined namelist
	1349	READ ( 11, prepro_par )
	1350
	1351	20 CONTINUE
	1352	CLOSE( 11 )
	1353
	1354	!
	1355	!-- If tolerance_dp was not set, put in default values
[3198]	1356	DO i = 0, 2
	1357	IF ( tolerance_dp(i) == 999999.0_wp ) THEN
	1358	tolerance_dp(i) = SQRT(dxdy)1.41/(2**i)
	1359	ELSE
	1360	tolerance_dp(i) = tolerance_dp(i)SQRT(dxdy)
	1361	ENDIF
	1362	ENDDO
	1363
[3159]	1364	!
	1365	!-- Allocate arrays
	1366	ALLOCATE(obstacle_height(-3:nx+3,-3:ny+3), polygon_id(-3:nx+3,-3:ny+3), &
	1367	wall_flags_0(-3:nx+3,-3:ny+3), grid(-3:nx+3,-3:ny+3))
	1368	!
	1369	!-- Set null_vertex
	1370	CALL set_vertex(null_vertex,0_iwp,0.0_wp,0.0_wp)
	1371	!
	1372	!-- Some initializations
	1373	ddx = 1./dx
	1374	ddy = 1./dy
	1375
	1376	polygon_id = 0
	1377	obstacle_height = 0.
	1378
	1379	grid%checked = .FALSE.
	1380	grid(-3:-1,:)%checked = .TRUE.
	1381	grid(nx+1:nx+3,:)%checked = .TRUE.
	1382	grid(:,-3:-1)%checked = .TRUE.
	1383	grid(:,ny+1:ny+3)%checked = .TRUE.
	1384	grid%polygon_id = 0
	1385	!
	1386	!-- Open files and topography/building data
	1387	CALL netcdf_data_input_topo ( TRIM(input_trunk) )
	1388
	1389	END SUBROUTINE init
	1390
	1391	!------------------------------------------------------------------------------!
	1392	! Description:
	1393	! ------------
	1394	!> Identifies all grid boxes that belong to a building and assigns a building
	1395	!> number to each grid box.
	1396	!> Method: Scans each grid point. If a grid point was not previously checked
	1397	!> and contains a building, it is added to a new polygon and marked as
	1398	!> checked. Then, all its neighbors that also contain a building are
	1399	!> added to the same polygon and marked as checked. All neighbors of
	1400	!> neighbors are subsequently found, added and checked until none are
	1401	!> left. Then, the initial scan continues, skipping already checked
	1402	!> grid points. Once a grid point with a new building is found, the
	1403	!> polygon_id increases and the grid point and all others that belong
	1404	!> to the same building are added as described above.
	1405	!> NOTE: This procedure will identify grid points that are only connected
	1406	!> diagonally (share only one point with each other) as connected and
	1407	!> have them belonging to the same building. This is necessary, as an
	1408	!> agent will not be able to traverse between these grid points and the
	1409	!> navigation mesh will therefore have to make him circumvent this
	1410	!> point.
	1411	!------------------------------------------------------------------------------!
	1412	SUBROUTINE identify_polygons
	1413
	1414	IMPLICIT NONE
	1415
	1416	INTEGER(iwp) :: ii !< local counter
	1417	INTEGER(iwp) :: il !< local counter
	1418	INTEGER(iwp) :: jj !< local counter
	1419	INTEGER(iwp) :: jl !< local counter
	1420	INTEGER(iwp) :: gpil !< number of grid points in list
	1421	INTEGER(iwp) :: gpta !< number of grid points to add to grid_list
	1422
	1423	TYPE(grid_point), DIMENSION(1:7) :: add_to_grid_list !< grid points to be added to the list
	1424
	1425	TYPE(grid_point), DIMENSION(:), ALLOCATABLE :: dummy_grid_list !< dummy for reallocation of grid_list
	1426	TYPE(grid_point), DIMENSION(:), ALLOCATABLE :: grid_list !< list of grid points that belong to the current building but whose neighbors have not been checked yet
	1427
	1428	!
	1429	!-- Initialize wall_flags array: 1 where no buildings, 0 where buildings
	1430	wall_flags_0 = 1
	1431	DO i = 0, nx
	1432	DO j = 0, ny
	1433	IF ( obstacle_height(i,j) > 0 ) THEN
	1434	wall_flags_0(i,j) = 0
	1435	ENDIF
	1436	ENDDO
	1437	ENDDO
	1438	DEALLOCATE(obstacle_height)
	1439	polygon_counter = 0
	1440	gpil = 0
	1441	gpta = 0
	1442	ALLOCATE(grid_list(1:100))
	1443	!
	1444	!-- Declare all grid points that contain no buildings as already checked.
	1445	!-- This way, these points will be skipped in the following calculation and
	1446	!-- will have polygon_id = 0
	1447	DO i = 0, nx
	1448	DO j = 0, ny
	1449	IF ( BTEST( wall_flags_0(i,j), 0 ) ) THEN
	1450	grid(i,j)%checked = .TRUE.
	1451	ENDIF
	1452	ENDDO
	1453	ENDDO
	1454	!
	1455	!-- Check all grid points and process them
	1456	DO i = 0, nx
	1457	DO j = 0, ny
	1458	!
	1459	!-- If the current grid point has not been checked, mark it as checked.
	1460	!-- As it is the first point belonging to a new building, increase the
	1461	!-- polygon_id counter and associate the grid point with that id.
	1462	IF ( .NOT. grid(i,j)%checked ) THEN
	1463	polygon_counter = polygon_counter + 1
	1464	grid(i,j)%polygon_id = polygon_counter
	1465	grid(i,j)%checked = .TRUE.
	1466	!
	1467	!-- Check if any neighbors of the found grid point are part of a
	1468	!-- building too. If so, add them to the list of grid points
	1469	!-- that have to be checked and associate them with the same polygon
	1470	gpta = 0
	1471	DO ii = i-1, i+1
	1472	DO jj = j-1, j+1
	1473	IF ( ii == i .AND. jj == j ) CYCLE
	1474	IF ( .NOT. grid(ii,jj)%checked ) THEN
	1475	gpta = gpta + 1
	1476	add_to_grid_list(gpta)%i = ii
	1477	add_to_grid_list(gpta)%j = jj
	1478	ENDIF
	1479	ENDDO
	1480	ENDDO
	1481
	1482	!
	1483	!-- Change size of grid_list if it becomes too small
	1484	IF ( gpil + gpta > SIZE(grid_list) ) THEN
	1485	ALLOCATE(dummy_grid_list(1:gpil))
	1486	dummy_grid_list = grid_list(1:gpil)
	1487	DEALLOCATE(grid_list)
	1488	ALLOCATE(grid_list(1:2*(gpil+gpta)))
	1489	grid_list(1:gpil) = dummy_grid_list(1:gpil)
	1490	DEALLOCATE(dummy_grid_list)
	1491	ENDIF
	1492	!
	1493	!-- If there are grid points to add to grid_list, add them
	1494	IF ( gpta > 0 ) THEN
	1495	grid_list(gpil+1:gpil+gpta) = add_to_grid_list(1:gpta)
	1496	gpil = gpil + gpta
	1497	ENDIF
	1498	!
	1499	!-- Handle all grid points in grid_list until there are none left
	1500	DO WHILE (gpil>0)
	1501	il = grid_list(gpil)%i
	1502	jl = grid_list(gpil)%j
	1503	grid(il,jl)%polygon_id = polygon_counter
	1504	grid(il,jl)%checked = .TRUE.
	1505	!
	1506	!-- this grid point in the list is processed, so the number of
	1507	!-- grid points in the list can be reduced by one
	1508	gpil = gpil - 1
	1509	gpta = 0
	1510	!
	1511	!-- For the current grid point, check if any unchecked
	1512	!-- neighboring grid points also contain a building. All such
	1513	!-- grid points are added to the list of grid points to be
	1514	!-- handled in this loop
	1515	DO ii = il-1, il+1
	1516	DO jj = jl-1, jl+1
	1517	IF ( jj == jl .AND. ii == il ) CYCLE
	1518	IF ( .NOT. grid(ii,jj)%checked ) &
	1519	THEN
	1520	gpta = gpta + 1
	1521	add_to_grid_list(gpta)%i = ii
	1522	add_to_grid_list(gpta)%j = jj
	1523	ENDIF
	1524	ENDDO
	1525	ENDDO
	1526	!
	1527	!-- Change size of grid list if it becomes too small
	1528	IF ( gpil + gpta > SIZE(grid_list) ) THEN
	1529	ALLOCATE(dummy_grid_list(1:gpil))
	1530	dummy_grid_list = grid_list(1:gpil)
	1531	DEALLOCATE(grid_list)
	1532	ALLOCATE(grid_list(1:2*(gpil+gpta)))
	1533	grid_list(1:gpil) = dummy_grid_list(1:gpil)
	1534	DEALLOCATE(dummy_grid_list)
	1535	ENDIF
	1536	!
	1537	!-- If there are grid points to add to list, add them
	1538	IF ( gpta > 0 ) THEN
	1539	grid_list(gpil+1:gpil+gpta) = add_to_grid_list(1:gpta)
	1540	gpil = gpil + gpta
	1541	ENDIF
	1542	ENDDO
	1543	ENDIF
	1544	ENDDO
	1545	ENDDO
	1546	DEALLOCATE(grid_list)
	1547	!
	1548	!-- Set size of polygon array and initialize
	1549	ALLOCATE(polygons(1:polygon_counter))
	1550	polygons%nov = 0
	1551
	1552	END SUBROUTINE identify_polygons
	1553
	1554	!------------------------------------------------------------------------------!
	1555	! Description:
	1556	! ------------
	1557	!> Identifies the corners of the PALM building topography and adds them to
	1558	!> a specific polygon for each building as vertices. This converts the gridded
	1559	!> building data into one polygon per building that contains the coordinates of
	1560	!> each inner and outer corner of that building as vertices.
	1561	!> A grid point contains an outer corner if it's part of a building and exactly
	1562	!> one of its horizontal and one of its vertical neighbors is also part of a
	1563	!> building (4 cases).
	1564	!> A grid point contains an inner corner if it's not part of a building and
	1565	!> exactly one of its horizontal, one of its diagonal and one of its vertical
	1566	!> neighbors are each part of a building and in turn neighbors
	1567	!> to each other (4 cases).
	1568	!------------------------------------------------------------------------------!
	1569	SUBROUTINE identify_corners
	1570
	1571	IMPLICIT NONE
	1572
	1573	INTEGER(iwp) :: il !< local counter
	1574	INTEGER(iwp) :: p_id !< current polygon_id
	1575	!
	1576	!-- For all grid points, check whether it contains one or more corners
	1577	DO i = 0, nx
	1578	DO j = 0, ny
	1579	!
	1580	!-- First, check if grid contains topography and has a corner.
	1581	IF ( .NOT. BTEST( wall_flags_0(i,j), 0 ) ) THEN
	1582	!
	1583	!-- Corner at south left edge of grid cell
	1584	IF ( BTEST( wall_flags_0(i-1,j), 0 ) .AND. &
	1585	BTEST( wall_flags_0(i,j-1), 0 )) &
	1586	THEN
	1587	p_id = grid(i,j)%polygon_id
	1588	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1589	nov = polygons(p_id)%nov
	1590	CALL set_vertex(dummy_vertex, p_id, idx, jdy)
	1591	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1592	ENDIF
	1593	!
	1594	!-- Corner at north left edge of grid cell
	1595	IF ( BTEST( wall_flags_0(i-1,j), 0 ) .AND. &
	1596	BTEST( wall_flags_0(i,j+1), 0 )) &
	1597	THEN
	1598	p_id = grid(i,j)%polygon_id
	1599	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1600	nov = polygons(p_id)%nov
	1601	CALL set_vertex(dummy_vertex, p_id, idx, (j+1)dy)
	1602	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1603	ENDIF
	1604	!
	1605	!-- Corner at north right edge of grid cell
	1606	IF ( BTEST( wall_flags_0(i+1,j), 0 ) .AND. &
	1607	BTEST( wall_flags_0(i,j+1), 0 )) &
	1608	THEN
	1609	p_id = grid(i,j)%polygon_id
	1610	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1611	nov = polygons(p_id)%nov
	1612	CALL set_vertex(dummy_vertex, p_id, (i+1)dx, (j+1)dy)
	1613	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1614	ENDIF
	1615	!
	1616	!-- Corner at south right edge of grid cell
	1617	IF ( BTEST( wall_flags_0(i+1,j), 0 ) .AND. &
	1618	BTEST( wall_flags_0(i,j-1), 0 )) &
	1619	THEN
	1620	p_id = grid(i,j)%polygon_id
	1621	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1622	nov = polygons(p_id)%nov
	1623	CALL set_vertex(dummy_vertex, p_id, (i+1)dx, jdy)
	1624	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1625	ENDIF
	1626	!
	1627	!-- Second, check if grid contains no topography and has a corner.
	1628	ELSE
	1629	!
	1630	!-- Corner at south left edge of grid cell
	1631	IF ( .NOT. BTEST( wall_flags_0(i-1,j), 0 ) .AND. &
	1632	.NOT. BTEST( wall_flags_0(i,j-1), 0 ) .AND. &
	1633	.NOT. BTEST( wall_flags_0(i-1,j-1), 0 ) ) &
	1634	THEN
	1635	p_id = grid(i-1,j-1)%polygon_id
	1636	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1637	nov = polygons(p_id)%nov
	1638	CALL set_vertex(dummy_vertex, p_id, idx, jdy)
	1639	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1640	ENDIF
	1641	!
	1642	!-- Corner at north left edge of grid cell
	1643	IF ( .NOT. BTEST( wall_flags_0(i-1,j), 0 ) .AND. &
	1644	.NOT. BTEST( wall_flags_0(i,j+1), 0 ) .AND. &
	1645	.NOT. BTEST( wall_flags_0(i-1,j+1), 0 ) ) &
	1646	THEN
	1647	p_id = grid(i-1,j+1)%polygon_id
	1648	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1649	nov = polygons(p_id)%nov
	1650	CALL set_vertex(dummy_vertex, p_id, idx, (j+1)dy)
	1651	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1652	ENDIF
	1653	!
	1654	!-- Corner at north right edge of grid cell
	1655	IF ( .NOT. BTEST( wall_flags_0(i+1,j), 0 ) .AND. &
	1656	.NOT. BTEST( wall_flags_0(i,j+1), 0 ) .AND. &
	1657	.NOT. BTEST( wall_flags_0(i+1,j+1), 0 ) ) &
	1658	THEN
	1659	p_id = grid(i+1,j+1)%polygon_id
	1660	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1661	nov = polygons(p_id)%nov
	1662	CALL set_vertex(dummy_vertex, p_id, (i+1)dx, (j+1)dy)
	1663	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1664	ENDIF
	1665	!
	1666	!-- Corner at south right edge of grid cell
	1667	IF ( .NOT. BTEST( wall_flags_0(i+1,j), 0 ) .AND. &
	1668	.NOT. BTEST( wall_flags_0(i,j-1), 0 ) .AND. &
	1669	.NOT. BTEST( wall_flags_0(i+1,j-1), 0 ) ) &
	1670	THEN
	1671	p_id = grid(i+1,j-1)%polygon_id
	1672	polygons(p_id)%nov = polygons(p_id)%nov + 1
	1673	nov = polygons(p_id)%nov
	1674	CALL set_vertex(dummy_vertex, p_id, (i+1)dx, jdy)
	1675	CALL add_vertex_to_polygon(dummy_vertex, p_id, nov)
	1676	ENDIF
	1677	ENDIF
	1678	ENDDO
	1679	ENDDO
	1680
	1681	END SUBROUTINE identify_corners
	1682
	1683	!------------------------------------------------------------------------------!
	1684	! Description:
	1685	! ------------
	1686	!> Initializes a vertex
	1687	!------------------------------------------------------------------------------!
	1688	SUBROUTINE set_vertex (in_vertex, p_id, x, y)
	1689
	1690	IMPLICIT NONE
	1691
	1692	INTEGER(iwp) :: p_id !< polygon ID
	1693
	1694	REAL(wp) :: x !< x-coordinate of vertex position
	1695	REAL(wp) :: y !< y-coordinate of vertex position
	1696
	1697	TYPE(vertex_type) :: in_vertex !< vertex to be set
	1698
	1699	in_vertex%delete = .FALSE.
	1700	in_vertex%x = x
	1701	in_vertex%y = y
	1702
	1703	END SUBROUTINE set_vertex
	1704
	1705	!------------------------------------------------------------------------------!
	1706	! Description:
	1707	! ------------
	1708	!> Adds an existing vertex to the polygon with ID p_id at position in_nov
	1709	!------------------------------------------------------------------------------!
	1710	SUBROUTINE add_vertex_to_polygon ( in_vertex, p_id, in_nov)
	1711
	1712	IMPLICIT NONE
	1713
	1714	INTEGER(iwp) :: in_nov !< counter of vertex being added to polygon
	1715	INTEGER(iwp) :: p_id !< polygon ID
	1716	INTEGER(iwp) :: sop !< size of vertices array
	1717
	1718	TYPE(vertex_type) :: in_vertex !< vertex to be added
	1719
	1720	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: dummy_v_list !< for reallocation
	1721
	1722	polygon => polygons(p_id)
	1723	!
	1724	!-- Allocate and initialize the vertex array of the polygon, if necessary
	1725	IF ( .NOT. ALLOCATED(polygon%vertices) ) THEN
	1726	ALLOCATE(polygon%vertices(1:100))
	1727	polygon%vertices = null_vertex
	1728	ENDIF
	1729	!
	1730	!-- Adjust size of polygon, if necessary
	1731	sop = SIZE(polygon%vertices)
	1732	IF ( in_nov > sop ) THEN
	1733	ALLOCATE(dummy_v_list(1:sop))
	1734	dummy_v_list(1:sop) = polygon%vertices(1:sop)
	1735	DEALLOCATE(polygon%vertices)
	1736	ALLOCATE(polygon%vertices(1:2*sop))
	1737	polygon%vertices = null_vertex
	1738	polygon%vertices(1:sop) = dummy_v_list(1:sop)
	1739	DEALLOCATE(dummy_v_list)
	1740	ENDIF
	1741	polygon%vertices(in_nov) = in_vertex
	1742	END SUBROUTINE add_vertex_to_polygon
	1743
	1744	!------------------------------------------------------------------------------!
	1745	! Description:
	1746	! ------------
	1747	!> Sorts the vertices of a polygon in a counter-clockwise fashion. During this
	1748	!> process, all vertices that are not part of the hull of the building
	1749	!> (inner courtyards) are deleted.
	1750	!------------------------------------------------------------------------------!
	1751	SUBROUTINE sort_polygon(i_p)
	1752
	1753	IMPLICIT NONE
	1754
	1755	LOGICAL :: starting_vertex_found
	1756
	1757	INTEGER(iwp) :: counter !< counter for potential starting vertices
	1758	INTEGER(iwp) :: id_neighbor !< final ID of neighboring vertex
	1759	INTEGER(iwp) :: id_neighbor1 !< ID of first potential neighbor
	1760	INTEGER(iwp) :: id_neighbor2 !< ID of second potential neighbor
	1761	INTEGER(iwp) :: il !< local counter
	1762	INTEGER(iwp) :: i_p !< index of the current polygon
	1763	INTEGER(iwp) :: noc !< number of candidates
	1764	INTEGER(iwp) :: nosv !< number of sorted vertices
	1765	INTEGER(iwp) :: xe !< x-end-index for building search
	1766	INTEGER(iwp) :: xs !< x-start-index for building search
	1767	INTEGER(iwp) :: ye !< y-end-index for building search
	1768	INTEGER(iwp) :: ys !< y-start-index for building search
	1769
	1770	INTEGER, DIMENSION(:), ALLOCATABLE :: candidate_id !< ID of the potential neighbors stored in 'candidates'
	1771	INTEGER, DIMENSION(:), ALLOCATABLE :: dummy_id_arr !< used for resizing
	1772
	1773	REAL(wp) :: dist !< distance of one vertex to its neighbor
	1774	REAL(wp) :: m_x !< min/max x-value of polygon used for starting vertex
	1775	REAL(wp) :: m_y !< min/max y-value of polygon used for starting vertex
	1776
	1777	TYPE(vertex_type) :: current_v !< current vertex
	1778	TYPE(vertex_type) :: dummy_vertex !< dummy vertex for reordering
	1779
	1780	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: candidates !< potential neighbors of the current vertex
	1781	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: dummy_vertex_arr !< used for resizing
	1782	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: sorted_p !< vertices that have been sorted
	1783
	1784	starting_vertex_found = .FALSE.
	1785	ALLOCATE(sorted_p(1:nov))
	1786	sorted_p(1:nov) = polygon%vertices(1:nov)
	1787	!
	1788	!-- Identify a vertex that is certainly a part of the outer hull of the
	1789	!-- current polygon: Get rightmost border of polygon (or if that
	1790	!-- coincides with model border, leftmost) border. Then of those points,
	1791	!-- get northmost (or if that coincides with model domain border, southmost).
	1792	!-- This identifies exactly one point that is then set to the first index.
	1793	counter = 0
	1794	IF ( MAXVAL(sorted_p%x) < nx*dx ) THEN
	1795	m_x = MAXVAL(sorted_p%x)
	1796	ELSE
	1797	m_x = MINVAL(sorted_p%x)
	1798	ENDIF
	1799	DO il = 1, nov
	1800	IF ( sorted_p(il)%x == m_x ) THEN
	1801	counter = counter + 1
	1802	dummy_vertex = sorted_p(il)
	1803	sorted_p(il) = sorted_p(counter)
	1804	sorted_p(counter) = dummy_vertex
	1805	ENDIF
	1806	ENDDO
	1807	IF ( MAXVAL(sorted_p(1:counter)%y) < ny*dy ) THEN
	1808	m_y = MAXVAL(sorted_p(1:counter)%y)
	1809	ELSE
	1810	m_y = MINVAL(sorted_p(1:counter)%y)
	1811	ENDIF
	1812	DO il = 1, counter
	1813	IF ( sorted_p(il)%y == m_y ) THEN
	1814	dummy_vertex = sorted_p(il)
	1815	sorted_p(il) = sorted_p(1)
	1816	sorted_p(1) = dummy_vertex
	1817	starting_vertex_found = .TRUE.
	1818	EXIT
	1819	ENDIF
	1820	ENDDO
	1821	!
	1822	!-- If no starting vertex was found for the current polygon, it will be
	1823	!-- deleted and an error message thrown
	1824	IF ( .NOT. starting_vertex_found ) THEN
	1825	WRITE(*,'(A,/,A,X,I6,/,A)') &
	1826	'An error occured during polygon sorting:', &
	1827	'no starting vertex could be found for polygon', &
	1828	i_p, 'This polygon contains the following vertices (x/y)'
	1829	DO il = 1, nov
	1830	WRITE(*,'(4X,F8.1,X,F8.1)') &
	1831	polygon%vertices(il)%x, polygon%vertices(il)%x
	1832	ENDDO
	1833	WRITE(*,'(A,/,A)') &
	1834	'This polygon will be skipped during sorting and deleted',&
	1835	'For details on the procedure, see SUBROUTINE sort_polygon.'
	1836	polygon%vertices%delete = .TRUE.
	1837	polygons(i_p)%nov = 0
	1838	CALL delete_empty_polygons
	1839	!
	1840	!-- Find the unique neighbor of the current vertex. For this, first
	1841	!-- determine all possible candidates. Of those, keep only the ones that
	1842	!-- are connected to the current vertex along a building edge (the polygon
	1843	!-- is sorted counter-clockwise. Therefore, the building is always on the
	1844	!-- left-hand side of the connecting line from the current vertex to its
	1845	!-- potential neighbor). This leaves a maximum of two possible neighbors.
	1846	!-- This is only the case if the current vertex is the point that diagonally
	1847	!-- connects two parts of the same building. In that case, the vertex that
	1848	!-- lies to the right of the connecting line between the previous and
	1849	!-- current vertex is the neighbor.
	1850	ELSE
	1851	DO nosv = 1, nov
	1852	current_v = sorted_p(nosv)
	1853	noc = 0
	1854	ALLOCATE(candidates(1:100), candidate_id(1:100))
	1855	!
	1856	!-- Find all candidates that could be neighbors of current vertex:
	1857	!-- these are those vertices that share the same x- or y-coordinate
	1858	!-- with the current vertex, as the vertices are all inner and outer
	1859	!-- corners of the gridded building data
	1860	IF ( nosv < nov ) THEN
	1861	DO il = nosv+1, nov
	1862	IF ( current_v%x == sorted_p(il)%x .OR. &
	1863	current_v%y == sorted_p(il)%y) &
	1864	THEN
	1865	!
	1866	!-- If necessary, resize arrays for candidates
	1867	IF ( noc >= SIZE(candidates) ) THEN
	1868	ALLOCATE(dummy_vertex_arr(1:noc), dummy_id_arr(1:noc))
	1869	dummy_vertex_arr(1:noc) = candidates(1:noc)
	1870	dummy_id_arr(1:noc) = candidate_id(1:noc)
	1871	DEALLOCATE(candidates, candidate_id)
	1872	ALLOCATE(candidates(1:2noc), candidate_id(1:2noc))
	1873	candidates(1:noc) = dummy_vertex_arr(1:noc)
	1874	candidate_id(1:noc) = dummy_id_arr(1:noc)
	1875	DEALLOCATE(dummy_vertex_arr, dummy_id_arr)
	1876	ENDIF
	1877	noc = noc +1
	1878	candidates(noc) = sorted_p(il)
	1879	candidate_id(noc) = il
	1880	ENDIF
	1881	ENDDO
	1882	ENDIF
	1883	!
	1884	!-- Check which one of the candidates is the neighbor of the current
	1885	!-- vertex. This is done by several tests that would exclude the
	1886	!-- candidate from being the neighbor. Each successful test will
	1887	!-- therefore result in a cycle to the next candidate. Only if all
	1888	!-- all tests fail, is the candidate one of a maximum of two possible
	1889	!-- neighbors.
	1890	id_neighbor1 = -999
	1891	id_neighbor2 = -999
	1892	DO il = 1, noc
	1893	!
	1894	!-- Exclude the possibility of a vertex with the same coordinates
	1895	!-- being chosen as the neighbor. (dist < .9*dx)
	1896	!-- NOTE: this could happen, if part of a building is only connected
	1897	!-- to the rest of the building diagonally. In that case, the
	1898	!-- same point is added to the polygon twice. This is necessary
	1899	!-- and not redundant! Two such points can never be neighbors.
	1900	!-- Example: the north right corner of grid point i,j
	1901	!-- AND the south left corner of grid point i+1,j+1.
	1902	!-- See SUBROUTINE identify_corners for the identification
	1903	!-- method.
	1904	!-- Also, exclude a connection back to the coordinates of the
	1905	!-- previous vertex.
	1906	dist = SQRT( (candidates(il)%x - current_v%x)**2 + &
	1907	(candidates(il)%y - current_v%y)**2 )
	1908	IF ( nosv > 1 ) THEN
	1909	IF ( dist < .9*dx .OR. &
	1910	(sorted_p(nosv-1)%x == candidates(il)%x .AND. &
	1911	sorted_p(nosv-1)%y == candidates(il)%y) ) &
	1912	THEN
	1913	CYCLE
	1914	ENDIF
	1915	ENDIF
	1916	!
	1917	!-- Check if there is a building all along only the left-hand side
	1918	!-- of the connecting line from current vertex to potential neighbor
	1919	!-- (4 cases)
	1920	!-- First: for vertical connection
	1921	IF ( candidates(il)%x == current_v%x ) THEN
	1922	xs = NINT(current_v%x*ddx)-1
	1923	xe = xs + 1
	1924	!
	1925	!-- Case 1: ys < ye, edge from south to north, building must be
	1926	!-- exclusively in all grid cells left of the edge
	1927	IF ( current_v%y < candidates(il)%y ) THEN
	1928	ys = NINT(current_v%y*ddy)
	1929	ye = NINT(candidates(il)%y*ddy)-1
	1930	IF ( .NOT.( ALL( .NOT. BTEST( wall_flags_0(xs,ys:ye), 0))&
	1931	.AND.( ALL( BTEST( wall_flags_0(xe,ys:ye), 0 ) ) )))&
	1932	THEN
	1933	CYCLE
	1934	ENDIF
	1935	!
	1936	!-- Case 2: ys > ye, edge from north to south, building must be
	1937	!-- exclusively in all grid cells right of the edge
	1938	ELSEIF ( current_v%y > candidates(il)%y ) THEN
	1939	ys = NINT(current_v%y*ddy)-1
	1940	ye = NINT(candidates(il)%y*ddy)
	1941	IF ( .NOT.( ALL( .NOT. BTEST( wall_flags_0(xe,ye:ys), 0))&
	1942	.AND.( ALL( BTEST( wall_flags_0(xs,ye:ys), 0 ) ) )))&
	1943	THEN
	1944	CYCLE
	1945	ENDIF
	1946	ENDIF
	1947	!
	1948	!-- Horizontal connection
	1949	ELSEIF ( candidates(il)%y == current_v%y ) THEN
	1950
	1951	ys = NINT(current_v%y*ddy)-1
	1952	ye = ys + 1
	1953	!
	1954	!-- Case 3: xs > xe, edge from right to left, building must be
	1955	!-- exclusively in all grid cells south of the edge
	1956	IF ( current_v%x > candidates(il)%x ) THEN
	1957	xs = NINT(current_v%x*ddx)-1
	1958	xe = NINT(candidates(il)%x*ddx)
	1959	IF ( .NOT.( ALL( .NOT. BTEST( wall_flags_0(xe:xs,ys), 0))&
	1960	.AND.( ALL( BTEST( wall_flags_0(xe:xs,ye), 0 ) ) )))&
	1961	THEN
	1962	CYCLE
	1963	ENDIF
	1964	!
	1965	!-- Case 4: xs < xe, edge from left to right, building must be
	1966	!-- exclusively in all grid cells north of the edge
	1967	ELSEIF ( current_v%x < candidates(il)%x ) THEN
	1968	xs = NINT(current_v%x*ddx)
	1969	xe = NINT(candidates(il)%x*ddx)-1
	1970	IF ( .NOT.( ALL( .NOT. BTEST( wall_flags_0(xs:xe,ye), 0))&
	1971	.AND.( ALL( BTEST( wall_flags_0(xs:xe,ys), 0 ) ) )))&
	1972	THEN
	1973	CYCLE
	1974	ENDIF
	1975	ENDIF
	1976	ENDIF
	1977	!
	1978	!-- After the tests, only two potential neighbors are possible. The
	1979	!-- one found first will get id_neighbor1, the possible 2nd one will
	1980	!-- get id_neighbor2
	1981	IF ( id_neighbor1 == -999 ) THEN
	1982	id_neighbor1 = candidate_id(il)
	1983	ELSEIF ( id_neighbor1 /= -999 .AND. &
	1984	( sorted_p(id_neighbor1)%x /= candidates(il)%x ) .OR. &
	1985	( sorted_p(id_neighbor1)%y /= candidates(il)%y ) ) &
	1986	THEN
	1987	id_neighbor2 = candidate_id(il)
	1988	ENDIF
	1989	ENDDO
	1990	!
	1991	!-- If two potential neighbors were found, determine the one that is on
	1992	!-- the right hand side of the line connecting the current and previous
	1993	!-- vertex. It is the real neighbor.
	1994	IF ( id_neighbor2 /= -999 .AND. nosv > 1 ) THEN
	1995	IF ( is_right(sorted_p(nosv-1)%x,sorted_p(nosv-1)%y, &
	1996	current_v%x,current_v%y, &
	1997	sorted_p(id_neighbor1)%x,sorted_p(id_neighbor1)%y) )&
	1998	THEN
	1999	id_neighbor = id_neighbor1
	2000	ELSEIF ( is_right(sorted_p(nosv-1)%x,sorted_p(nosv-1)%y, &
	2001	current_v%x,current_v%y, &
	2002	sorted_p(id_neighbor2)%x,sorted_p(id_neighbor2)%y) )&
	2003	THEN
	2004	id_neighbor = id_neighbor2
	2005	ENDIF
	2006	ELSE
	2007	id_neighbor = id_neighbor1
	2008	ENDIF
	2009	!
	2010	!-- Put the found neighbor at next index in sorted array and move the
	2011	!-- unsorted vertices back one index. This way, only yet unsorted
	2012	!-- vertices are eligible to be candidates during the next iteration.
	2013	IF (id_neighbor /= nosv + 1 .AND. id_neighbor /= -999) THEN
	2014	dummy_vertex = sorted_p(id_neighbor)
	2015	sorted_p(nosv+2:id_neighbor) = sorted_p(nosv+1:id_neighbor-1)
	2016	sorted_p(nosv+1) = dummy_vertex
	2017	!
	2018	!-- If no neighbor was found, sorting is done for this polygon
	2019	ELSEIF ( id_neighbor == -999 ) THEN
	2020	DEALLOCATE(candidates,candidate_id)
	2021	EXIT
	2022	ENDIF
	2023	DEALLOCATE(candidates,candidate_id)
	2024	ENDDO
	2025	!
	2026	!-- Sorting is done. Reduce size (which means get rid of vertices
	2027	!-- that are not part of the outer hull of the building: holes)
	2028	!-- of sorted polygon and put it back in polygon%vertices.
	2029	!-- Also add first vertex to the end of polygon and last vertex
	2030	!-- before the beginning of polygon.
	2031	DEALLOCATE(polygon%vertices)
	2032	ALLOCATE(polygon%vertices(0:nosv+1))
	2033	polygon%vertices(1:nosv) = sorted_p(1:nosv)
	2034	polygon%vertices(0) = sorted_p(nosv)
	2035	polygon%vertices(nosv+1) = sorted_p(1)
	2036	polygons(i_p)%nov = nosv
	2037	nov = polygons(i_p)%nov
	2038	DEALLOCATE(sorted_p)
	2039	ENDIF
	2040
	2041	END SUBROUTINE sort_polygon
	2042
	2043	!------------------------------------------------------------------------------!
	2044	! Description:
	2045	! ------------
	2046	!> Reduces the number of vertices in a polygon using the
	2047	!> Douglas-Poiker-Algorithm (1973)
	2048	!------------------------------------------------------------------------------!
	2049	RECURSIVE SUBROUTINE simplify_polygon( id_s, id_e, tol )
	2050
	2051	IMPLICIT NONE
	2052
	2053	INTEGER(iwp) :: max_dist_ind !< Index of vertex with maximum distance
	2054	INTEGER(iwp) :: il !< counter
	2055	INTEGER(iwp) :: id_s !< End index in polygon
	2056	INTEGER(iwp) :: id_e !< End index in polygon
	2057
	2058	REAL(wp) :: max_dist !< Maximum distance from line
	2059	REAL(wp) :: dum_dist !< Distance from line: dummy
	2060	REAL(wp) :: tol !< factor that determines how far a vertex can be from the polygon approximation so that the approximation is still accepted
	2061
	2062	max_dist = 0.
	2063	max_dist_ind = -999999
	2064	!
	2065	!-- Find vertex with max distance to id_s and id_e
	2066	DO il = id_s + 1, id_e -1
	2067	dum_dist = dist_point_to_edge(polygon%vertices(id_s)%x, &
	2068	polygon%vertices(id_s)%y, &
	2069	polygon%vertices(id_e)%x, &
	2070	polygon%vertices(id_e)%y, &
	2071	polygon%vertices(il)%x, &
	2072	polygon%vertices(il)%y)
	2073	IF ( dum_dist > max_dist ) THEN
	2074	max_dist = dum_dist
	2075	max_dist_ind = il
	2076	ENDIF
	2077	ENDDO
	2078
	2079	IF ( max_dist > tol ) THEN
	2080	CALL simplify_polygon( id_s, max_dist_ind, tol )
	2081	CALL simplify_polygon( max_dist_ind, id_e, tol )
	2082	ELSE
	2083	polygon%vertices(id_s+1:id_e-1)%delete = .TRUE.
	2084	ENDIF
	2085
	2086	END SUBROUTINE simplify_polygon
	2087
	2088	!------------------------------------------------------------------------------!
	2089	! Description:
	2090	! ------------
	2091	!> Checks if a vertex of a polygon is inside another polygon and if so, deletes
	2092	!> it. The check is done using the crossing number algorithm. If a straight
	2093	!> ray starting at a point crosses the borders of one polygon an odd
	2094	!> number of times, the point is inside that polygon.
	2095	!> This algorithm detects buildings that are completely surrounded by
	2096	!> another building. They can be deleted since they can never be navigated.
	2097	!> TODO: Maybe add a flag to turn this off and on as it might not be needed.
	2098	!> also, if the domain has buildings at all boundary points, there would
	2099	!> only be one giant building and everything in it deleted. So nothing
	2100	!> could be navigated. relevant?!
	2101	!------------------------------------------------------------------------------!
	2102	SUBROUTINE inside_other_polygon( i_p )
	2103
	2104	IMPLICIT NONE
	2105
	2106	LOGICAL :: exit_flag !< flag to exit loops if an odd crossing number was found for any of a polygons vertices
	2107
	2108	INTEGER(iwp) :: cn !< number of crossings
	2109	INTEGER(iwp) :: i_p !< index of current polygon
	2110	INTEGER(iwp) :: il !< index of tested polygon
	2111	INTEGER(iwp) :: nov_test !< no. of vertices of test-polygon
	2112	INTEGER(iwp) :: ref_vert !< vertex currently being tested if it is inside another polygon
	2113	INTEGER(iwp) :: test_edge !< index of edge being tested
	2114
	2115	REAL(wp) :: px !< x-coord of the point at the crossing of the ray and the vertex
	2116	REAL(wp) :: xe !< x-coordinate of end point of edge
	2117	REAL(wp) :: xr !< x-coordinate of reference point
	2118	REAL(wp) :: xs !< x-coordinate of start point of edge
	2119	REAL(wp) :: ye !< y-coordinate of end point of edge
	2120	REAL(wp) :: yr !< y-coordinate of reference point
	2121	REAL(wp) :: ys !< y-coordinate of start point of edge
	2122
	2123	TYPE(polygon_type), POINTER :: test_pol !< Polygon to be tested
	2124
	2125	exit_flag = .FALSE.
	2126	!
	2127	!-- Loop over all polygons other than the one being tested
	2128	DO il = 1, polygon_counter
	2129	IF ( il == i_p ) CYCLE
	2130	test_pol => polygons(il)
	2131	nov_test = polygons(il)%nov
	2132	!
	2133	!-- Inclusion test is done for every vertex of the polygon
	2134	DO ref_vert = 1, nov
	2135	cn = 0
	2136	xr = polygon%vertices(ref_vert)%x
	2137	yr = polygon%vertices(ref_vert)%y
	2138	!
	2139	!-- All edges of the every polygon il is tested for ray crossing
	2140	DO test_edge = 1, nov_test
	2141
	2142	!-- It is tested wether the current edge crosses a ray that extends
	2143	!-- from the current point to the right indefinitely.
	2144	!-- Check if start point of edge is lower than end point. If they
	2145	!-- are the same, ignore, since horizontal edges are excluded
	2146	IF ( test_pol%vertices(test_edge)%y < &
	2147	test_pol%vertices(test_edge+1)%y ) &
	2148	THEN
	2149	xs = test_pol%vertices(test_edge)%x
	2150	xe = test_pol%vertices(test_edge+1)%x
	2151	ys = test_pol%vertices(test_edge)%y
	2152	ye = test_pol%vertices(test_edge+1)%y
	2153	ELSEIF ( test_pol%vertices(test_edge)%y > &
	2154	test_pol%vertices(test_edge+1)%y ) &
	2155	THEN
	2156	xs = test_pol%vertices(test_edge+1)%x
	2157	xe = test_pol%vertices(test_edge)%x
	2158	ys = test_pol%vertices(test_edge+1)%y
	2159	ye = test_pol%vertices(test_edge)%y
	2160	ELSE
	2161	CYCLE
	2162	ENDIF
	2163	!
	2164	!-- Only such edges where the starting point of the edge is south of
	2165	!-- (or equal to) the reference point and the end point is north of
	2166	!-- it are relevant. Note: an edge includes its southern endpoint
	2167	!-- and excludes its northern endpoint.
	2168	IF ( .NOT. (ys <= yr .AND. ye > yr )) CYCLE
	2169	!
	2170	!-- Only edges that are crossed on the right side of the reference
	2171	!-- point are relevant, those on the left are ignored
	2172	IF ( xs <= xr .AND. xe <= xr ) CYCLE
	2173	IF ( ( xs <= xr .AND. xe >= xr ) .OR. &
	2174	( xs >= xr .AND. xe <= xr ) ) &
	2175	THEN
	2176	px = xe - (xe-xs)*(ye-yr)/(ye-ys)
	2177	IF ( px <= xr ) CYCLE
	2178	ENDIF
	2179	!
	2180	!-- If none of the previous if clauses were true, a crossing with
	2181	!-- an eligible edge was found and the count increases
	2182	cn = cn + 1
	2183	ENDDO
	2184	!
	2185	!-- If the number of crossings is odd, the point is inside another
	2186	!-- polyon. The polygon associated with the point will be deleted
	2187	IF ( MOD(cn, 2) /= 0 ) THEN
	2188	exit_flag = .TRUE.
	2189	EXIT
	2190	ENDIF
	2191	ENDDO
	2192	IF ( exit_flag ) EXIT
	2193	ENDDO
	2194	IF ( exit_flag ) polygon%vertices%delete = .TRUE.
	2195
	2196	END SUBROUTINE inside_other_polygon
	2197
	2198	!------------------------------------------------------------------------------!
	2199	! Description:
	2200	! ------------
	2201	!> Deletes thoses vertices that are marked for deletion (%delete flag) and
	2202	!> resizes the polygon
	2203	!------------------------------------------------------------------------------!
	2204	SUBROUTINE delete_extra_vertices (i_p)
	2205
	2206	IMPLICIT NONE
	2207
	2208	INTEGER(iwp) :: il !< local counter
	2209	INTEGER(iwp) :: vcounter !< vertex counter
	2210	INTEGER(iwp) :: i_p !< polygon ID
	2211
	2212	TYPE(vertex_type), DIMENSION(:), ALLOCATABLE :: dummy_pol !< Temporarily stores non-deleted vertices
	2213
	2214	ALLOCATE(dummy_pol(1:nov))
	2215	vcounter = 0
	2216	!
	2217	!-- Check all vertices and only keep those not marked for deletion
	2218	DO il = 1, nov
	2219	IF ( .NOT. polygon%vertices(il)%delete ) THEN
	2220	vcounter = vcounter + 1
	2221	dummy_pol(vcounter) = polygon%vertices(il)
	2222	ENDIF
	2223	ENDDO
	2224	!
	2225	!-- Set new number of vertices in the polygon
	2226	nov = vcounter
	2227	polygons(i_p)%nov = nov
	2228	!
	2229	!-- Resize
	2230	DEALLOCATE(polygon%vertices)
	2231	ALLOCATE(polygon%vertices(0:nov+1))
	2232	polygon%vertices(1:nov) = dummy_pol(1:nov)
	2233	polygon%vertices(0) = polygon%vertices(nov)
	2234	polygon%vertices(nov+1) = polygon%vertices(1)
	2235	DEALLOCATE(dummy_pol)
	2236
	2237	END SUBROUTINE delete_extra_vertices
	2238
	2239	!------------------------------------------------------------------------------!
	2240	! Description:
	2241	! ------------
	2242	!> Deletes polygons that contain no vertices (happens for those polygons that
	2243	!> were entirely encompassed by another polygon)
	2244	!------------------------------------------------------------------------------!
	2245	SUBROUTINE delete_empty_polygons
	2246
	2247	IMPLICIT NONE
	2248
	2249	INTEGER(iwp) :: il !< local counter
	2250	INTEGER(iwp) :: pc !< number of nonempty polygons
	2251	INTEGER(iwp) :: sv !< size of vertex array
	2252
	2253	TYPE(polygon_type), DIMENSION(:), ALLOCATABLE :: dummy_polygons !< temporarily stores non-deletd polygons
	2254
	2255	pc = 0
	2256	sv = 0
	2257	ALLOCATE( dummy_polygons(1:polygon_counter) )
	2258	!
	2259	!-- Keep only those polygons that contain any vertices, skip the rest
	2260	DO il = 1, polygon_counter
	2261	IF ( polygons(il)%nov > 0 ) THEN
	2262	pc = pc + 1
	2263	sv = SIZE(polygons(il)%vertices)
	2264	ALLOCATE(dummy_polygons(pc)%vertices(0:sv-1))
	2265	dummy_polygons(pc) = polygons(il)
	2266	ENDIF
	2267	ENDDO
	2268	polygon_counter = pc
	2269	!
	2270	!-- Resize polygon array
	2271	DEALLOCATE(polygons)
	2272	ALLOCATE(polygons(1:polygon_counter))
	2273	DO il = 1, polygon_counter
	2274	!
	2275	!-- give each %vertices array the correct size and information
	2276	sv = SIZE(dummy_polygons(il)%vertices)
	2277	polygons(il)%nov = sv - 2
	2278	ALLOCATE(polygons(il)%vertices(0:sv-1))
	2279	polygons(il) = dummy_polygons(il)
	2280	ENDDO
	2281	DEALLOCATE(dummy_polygons)
	2282
	2283	END SUBROUTINE delete_empty_polygons
	2284
	2285	END MODULE polygon_creation
	2286
	2287	MODULE mesh_creation
	2288
	2289	USE kinds
	2290
	2291	USE mod_functions
	2292
	2293	USE variables
	2294
	2295	CONTAINS
	2296
	2297	!------------------------------------------------------------------------------!
	2298	! Description:
	2299	! ------------
	2300	!> Creates the navigation mesh:
	2301	!> 1) Finds eligible vertices (those that are locally convex)
	2302	!> 2) Adds them to the mesh
	2303	!> 3) Adds connections between mesh points if they are in line of sight
	2304	!> of each other and the connecting line does not point into either of
	2305	!> the originating polygons (this is known as a visibility graph)
	2306	!------------------------------------------------------------------------------!
	2307	SUBROUTINE create_nav_mesh
	2308
	2309	IMPLICIT NONE
	2310
	2311	LOGICAL :: add !< flag for second cycle of add loop
	2312	LOGICAL :: intersection_found !< flag to indicate a found intersection
	2313
	2314	INTEGER(iwp) :: cmp !< counter: current mesh point
	2315	INTEGER(iwp) :: il !< local counter
	2316	INTEGER(iwp) :: jl !< local counter
	2317	INTEGER(iwp) :: pid !< polygon id of current mesh point
	2318	INTEGER(iwp) :: pid_t !< polygon id of tested mesh point
	2319	INTEGER(iwp) :: pl !< polygon counter
	2320	INTEGER(iwp) :: vid !< vertex id of current mesh point
	2321	INTEGER(iwp) :: vid_t !< vertex id of tested mesh point
	2322	INTEGER(iwp) :: vl !< vertex counter
	2323
	2324	REAL(wp) :: left !< counter: current mesh point
	2325	REAL(wp) :: v1x !< x-coordinate of test vertex 1 for intersection test
	2326	REAL(wp) :: v1y !< y-coordinate of test vertex 1 for intersection test
	2327	REAL(wp) :: v2x !< x-coordinate of test vertex 2 for intersection test
	2328	REAL(wp) :: v2y !< y-coordinate of test vertex 2 for intersection test
	2329	REAL(wp) :: x !< x-coordinate of current mesh point
	2330	REAL(wp) :: x_t !< x-coordinate of tested mesh point
	2331	REAL(wp) :: y !< y-coordinate of current mesh point
	2332	REAL(wp) :: y_t !< y-coordinate of tested mesh point
	2333	REAL(wp) :: corner_x !< x-coordinate of shifted corner
	2334	REAL(wp) :: corner_x_e !< x-coordinate of end of corner gate
	2335	REAL(wp) :: corner_y !< y-coordinate of shifted corner
	2336	REAL(wp) :: corner_y_e !< y-coordinate of end of corner gate
	2337	REAL(wp) :: t_start !< CPU measure: start
	2338	REAL(wp) :: t_inter !< CPU measure: output test time
	2339	REAL(wp) :: t_inter1 !< CPU measure: output test time
	2340	REAL(wp) :: t_end !< CPU measure: end
	2341	REAL(wp) :: t_left !< CPU measure: estimate for time left
	2342	REAL(wp) :: t_done !< CPU measure: elapsed time
	2343	REAL(wp) :: percent_done !< CPU measure: proportion of mesh points checked
	2344
	2345	!
	2346	!-- Add all convex vertices to the mesh.
	2347	!-- DO loop will be executed twice. Once to count the mesh points to be
	2348	!-- added and allocate the mesh point array, the second time (add == .TRUE.)
	2349	!-- to fill the mesh point array.
	2350	WRITE(*,'(X,A)') 'Adding polygon vertices to mesh ...'
	2351	add = .FALSE.
	2352	DO
	2353	cmp = 0
	2354	DO il = 1, polygon_counter
	2355	polygon => polygons(il)
	2356	nov = polygons(il)%nov
	2357	DO jl = 1, nov
	2358	!
	2359	!-- In a polygon that is sorted counter-clockwise, if the next vertex
	2360	!-- is left of the line connecting the previous and the current vertex,
	2361	!-- the current vertex is locally convex.
	2362	IF ( is_left(polygon%vertices(jl-1)%x,polygon%vertices(jl-1)%y, &
	2363	polygon%vertices(jl)%x,polygon%vertices(jl)%y, &
	2364	polygon%vertices(jl+1)%x,polygon%vertices(jl+1)%y) ) &
	2365	THEN
	2366
	2367	corner_x = polygon%vertices(jl)%x
	2368	corner_y = polygon%vertices(jl)%y
	2369	!
	2370	!-- Create end point for corner navigation
	2371	IF ( add ) THEN
	2372	CALL shift_corner_outward( &
	2373	polygon%vertices(jl-1)%x, polygon%vertices(jl-1)%y,&
	2374	polygon%vertices(jl+1)%x, polygon%vertices(jl+1)%y,&
	2375	polygon%vertices(jl)%x, polygon%vertices(jl)%y, &
	2376	corner_x_e, corner_y_e, 1._wp )
	2377	ENDIF
	2378	!
	2379	!-- Disregard corners outside of the domain
	2380	IF ( corner_x<=(nx+1)*dx .AND. corner_x>=0 .AND. &
	2381	corner_y<=(ny+1)*dy .AND. corner_y>=0) &
	2382	THEN
	2383	cmp = cmp + 1
	2384	IF ( add ) THEN
	2385	CALL set_mesh_point( mesh(cmp), il, jl, &
	2386	corner_x, corner_y, &
	2387	corner_x_e, corner_y_e )
	2388	ENDIF
	2389	ENDIF
	2390	ENDIF
	2391	ENDDO
	2392	ENDDO
	2393	IF ( add ) EXIT
	2394	add = .TRUE.
	2395	ALLOCATE( mesh(1:cmp) )
	2396	ENDDO
	2397	WRITE(*,'(6X,A,X,I10,X,A,/)') 'Done. Added',cmp,'vertices to mesh.'
	2398	WRITE(*,'(X,A)') 'Establishing connections in mesh ...'
	2399	!
	2400	!-- CPU measurement
	2401	CALL CPU_TIME(t_start)
	2402	CALL CPU_TIME(t_inter)
	2403	DO il = 1, cmp
	2404	!-- Output status of processing
	2405	CALL CPU_TIME(t_inter1)
	2406	IF ( t_inter1 - t_inter > 4. ) THEN
	2407	t_done = (t_inter1-t_start)/60.
	2408	percent_done = REAL(il)/cmp*100.
	2409	t_left = t_done/percent_done*(100-percent_done)
	2410	WRITE(*,'(3X,2(A,I8),A,F6.2,2(A,F7.1),A,I10)') &
	2411	'Mesh point ',il,' of ' ,cmp, &
	2412	': ' ,percent_done, &
	2413	' % \|\| elapsed time : ' ,t_done, &
	2414	' min \|\| ETA: ' ,t_left, &
	2415	' min \|\| number of connections found: ',number_of_connections
	2416	CALL CPU_TIME(t_inter)
	2417	ENDIF
	2418	x = mesh(il)%x
	2419	y = mesh(il)%y
	2420	pid = mesh(il)%polygon_id
	2421	vid = mesh(il)%vertex_id
	2422	DO jl = 1, cmp
	2423	!
	2424	!-- No mesh point can be connected to itself
	2425	IF ( il == jl ) CYCLE
	2426	x_t = mesh(jl)%x
	2427	y_t = mesh(jl)%y
	2428	pid_t = mesh(jl)%polygon_id
	2429	vid_t = mesh(jl)%vertex_id
	2430	!
	2431	!-- Cycle, if a connection had already been established
	2432	IF ( ANY(mesh(jl)%connected_vertices == il) ) CYCLE
	2433	!
	2434	!-- If the distance between two nodes is larger than 600 m,
	2435	!-- no connection will be made since there will typically no be such
	2436	!-- long, straight ways in a city that a pedestrian will walk
	2437	IF ( SQRT((x_t-x)2 +(y_t-y)2) > 400. ) CYCLE
	2438	!
	2439	!-- If the connecting line between two mesh points points into either
	2440	!-- or both of the corresponding polygons, no connection will be
	2441	!-- established between the two points. This is the case if the
	2442	!-- previous (next) vertex of the polygon is right of the connecting
	2443	!-- line and the next (previous) vertex of the polygon is left of the
	2444	!-- connecting line. This is checked for both polygons.
	2445	IF ( ((is_left(x_t,y_t,x,y,polygons(pid)%vertices(vid-1)%x, &
	2446	polygons(pid)%vertices(vid-1)%y) &
	2447	.AND. is_right(x_t,y_t,x,y,polygons(pid)%vertices(vid+1)%x, &
	2448	polygons(pid)%vertices(vid+1)%y) ) &
	2449	.OR. (is_right(x_t,y_t,x,y,polygons(pid)%vertices(vid-1)%x, &
	2450	polygons(pid)%vertices(vid-1)%y) &
	2451	.AND. is_left(x_t,y_t,x,y,polygons(pid)%vertices(vid+1)%x, &
	2452	polygons(pid)%vertices(vid+1)%y)) ) &
	2453	.OR. ((is_left(x,y,x_t,y_t,polygons(pid_t)%vertices(vid_t-1)%x, &
	2454	polygons(pid_t)%vertices(vid_t-1)%y) &
	2455	.AND. is_right(x,y,x_t,y_t,polygons(pid_t)%vertices(vid_t+1)%x, &
	2456	polygons(pid_t)%vertices(vid_t+1)%y) ) &
	2457	.OR. (is_right(x,y,x_t,y_t,polygons(pid_t)%vertices(vid_t-1)%x, &
	2458	polygons(pid_t)%vertices(vid_t-1)%y) &
	2459	.AND. is_left(x,y,x_t,y_t,polygons(pid_t)%vertices(vid_t+1)%x, &
	2460	polygons(pid_t)%vertices(vid_t+1)%y)) ) ) &
	2461	THEN
	2462	CYCLE
	2463	ENDIF
	2464	!
	2465	!-- For each edge of each polygon, check if it intersects with the
	2466	!-- potential connection. If so, no connection can be made
	2467	!-- THIS IS THE BOTTLENECK OF THE PROGRAM
	2468	intersection_found = .FALSE.
	2469	DO pl = pid, polygon_counter
	2470	DO vl = 1, polygons(pl)%nov
	2471	v1x = polygons(pl)%vertices(vl)%x
	2472	v1y = polygons(pl)%vertices(vl)%y
	2473	v2x = polygons(pl)%vertices(vl+1)%x
	2474	v2y = polygons(pl)%vertices(vl+1)%y
	2475	intersection_found = intersect(x,y,x_t,y_t,v1x,v1y,v2x,v2y)
	2476	IF ( intersection_found ) EXIT
	2477	ENDDO
	2478	IF ( intersection_found ) EXIT
	2479	ENDDO
	2480	IF ( intersection_found ) CYCLE
	2481	DO pl = pid, 1, -1
	2482	IF ( pl == pid ) CYCLE
	2483	DO vl = 1, polygons(pl)%nov
	2484	v1x = polygons(pl)%vertices(vl)%x
	2485	v1y = polygons(pl)%vertices(vl)%y
	2486	v2x = polygons(pl)%vertices(vl+1)%x
	2487	v2y = polygons(pl)%vertices(vl+1)%y
	2488	intersection_found = intersect(x,y,x_t,y_t,v1x,v1y,v2x,v2y)
	2489	IF ( intersection_found ) EXIT
	2490	ENDDO
	2491	IF ( intersection_found ) EXIT
	2492	ENDDO
	2493	IF ( intersection_found ) CYCLE
	2494	!
	2495	!-- If neither of the above two test was true, a connection will be
	2496	!-- established between the two mesh points.
	2497	number_of_connections = number_of_connections + 1
	2498	CALL add_connection(mesh(il),jl, mesh(jl))
	2499	CALL add_connection(mesh(jl),il, mesh(il))
	2500	ENDDO
	2501	ENDDO
	2502	!
	2503	!-- Adapt connected_vertices arrays
	2504	DO il = 1, cmp
	2505	CALL reduce_connections(mesh(il))
	2506	ENDDO
	2507	CALL CPU_TIME(t_end)
	2508	!
	2509	!-- Output to terminal
	2510	WRITE(*,'(6X,A,I10,A)') 'Done. Established ',number_of_connections, &
	2511	' connections in mesh'
	2512	WRITE(*,'(6X,A,F10.1,A)') 'Time needed for calculation: ', &
	2513	t_end-t_start,' seconds'
[3216]	2514
[3159]	2515	END SUBROUTINE create_nav_mesh
	2516
	2517	!------------------------------------------------------------------------------!
	2518	! Description:
	2519	! ------------
	2520	!> Initializes a point of the navigation mesh
	2521	!------------------------------------------------------------------------------!
	2522	SUBROUTINE set_mesh_point (in_mp,pid,vid,x,y,x_s,y_s)
	2523
	2524	IMPLICIT NONE
	2525
	2526	INTEGER(iwp) :: pid !< polygon ID
	2527	INTEGER(iwp) :: vid !< vertex ID
	2528
	2529	REAL(wp) :: x !< x-value of mesh point for path calculation
	2530	REAL(wp) :: x_s !< x-value shifted outward from corner
	2531	REAL(wp) :: y !< y-value of mesh point for path calculation
	2532	REAL(wp) :: y_s !< y-value shifted outward from corner
	2533
	2534	TYPE(mesh_point) :: in_mp !< mesh point to be created
	2535
	2536	in_mp%origin_id = -1
	2537	in_mp%polygon_id = pid
	2538	in_mp%vertex_id = vid
	2539	in_mp%cost_so_far = 1.d12
	2540	in_mp%x = x
	2541	in_mp%y = y
	2542	in_mp%x_s = x_s
	2543	in_mp%y_s = y_s
	2544	in_mp%noc = 0
	2545
	2546	ALLOCATE(in_mp%connected_vertices(1:100), &
	2547	in_mp%distance_to_vertex(1:100))
	2548
	2549	in_mp%connected_vertices = -999
	2550	in_mp%distance_to_vertex = -999.
	2551
	2552	END SUBROUTINE set_mesh_point
	2553
	2554	!------------------------------------------------------------------------------!
	2555	! Description:
	2556	! ------------
	2557	!> Shifts a corner (middle one of three consecutive points a, b and p) outward
	2558	!> by a given length along the angle bisector. Stores the result to res_x/res_y
	2559	!------------------------------------------------------------------------------!
	2560	SUBROUTINE shift_corner_outward ( a_x, a_y, b_x, b_y, p_x, p_y, res_x, &
	2561	res_y, shift )
	2562
	2563	IMPLICIT NONE
	2564
	2565	REAL(wp) :: a_x !< x-value of point A
	2566	REAL(wp) :: a_y !< y-value of point A
	2567	REAL(wp) :: abs_ap !< distance from A to P
	2568	REAL(wp) :: abs_bp !< distance from B to P
	2569	REAL(wp) :: abs_co !< length of angle bisector
	2570	REAL(wp) :: b_x !< x-value of point B
	2571	REAL(wp) :: b_y !< y-value of point B
	2572	REAL(wp) :: eap_x !< x-value of unit vector from A to P
	2573	REAL(wp) :: eap_y !< y-value of unit vector from A to P
	2574	REAL(wp) :: ebp_x !< x-value of unit vector from B to P
	2575	REAL(wp) :: ebp_y !< y-value of unit vector from B to P
	2576	REAL(wp) :: p_x !< x-value of point P
	2577	REAL(wp) :: p_y !< y-value of point P
	2578	REAL(wp) :: res_x !< x-value of result
	2579	REAL(wp) :: res_y !< y-value of result
	2580	REAL(wp) :: shift !< distance of shift in meters
	2581
	2582	!
	2583	!-- Get unit vector from previous to current vertex
	2584	eap_x = p_x - a_x
	2585	eap_y = p_y - a_y
	2586	abs_ap = SQRT(eap_x2+eap_y2)
	2587	eap_x = eap_x/abs_ap
	2588	eap_y = eap_y/abs_ap
	2589	!
	2590	!-- Get unit vector from next to current vertex
	2591	ebp_x = p_x - b_x
	2592	ebp_y = p_y - b_y
	2593	abs_bp = SQRT(ebp_x2+ebp_y2)
	2594	ebp_x = ebp_x/abs_bp
	2595	ebp_y = ebp_y/abs_bp
	2596	!
	2597	!-- Add previous two vectors to get angle bisector of corner.
	2598	!-- Then, set its length to shift and add to original vertex
	2599	!-- vector to shift it outward
	2600	res_x = eap_x + ebp_x
	2601	res_y = eap_y + ebp_y
	2602	abs_co = SQRT(res_x2+res_y2)
	2603	res_x = shift*res_x/abs_co + p_x
	2604	res_y = shift*res_y/abs_co + p_y
	2605
	2606	END SUBROUTINE shift_corner_outward
	2607
	2608	!------------------------------------------------------------------------------!
	2609	! Description:
	2610	! ------------
	2611	!> Adds a connection between two points of the navigation mesh
	2612	!> (one-way: in_mp1 to in_mp2)
	2613	!------------------------------------------------------------------------------!
	2614	SUBROUTINE add_connection (in_mp1,id2,in_mp2)
	2615
	2616	IMPLICIT NONE
	2617
	2618	LOGICAL :: connection_established !< Flag to indicate if connection has already been established
	2619
	2620	INTEGER(iwp) :: id2 !< ID of in_mp2
	2621	INTEGER(iwp) :: il !< local counter
	2622	INTEGER(iwp) :: noc1 !< number of connections in in_mp1
	2623
	2624	INTEGER, DIMENSION(:), ALLOCATABLE :: dum_cv !< dummy array for connected_vertices
	2625
	2626	REAL(wp) :: dist !< Distance between the two points
	2627
	2628	REAL(wp), DIMENSION(:), ALLOCATABLE :: dum_dtv
	2629
	2630	TYPE(mesh_point) :: in_mp1 !< mesh point that gets a new connection
	2631	TYPE(mesh_point) :: in_mp2 !< mesh point in_mp1 will be connected to
	2632
	2633	connection_established = .FALSE.
	2634	!
	2635	!-- Check if connection has already been established
	2636	noc1 = SIZE(in_mp1%connected_vertices)
	2637	DO il = 1, in_mp1%noc
	2638	IF ( in_mp1%connected_vertices(il) == id2 ) THEN
	2639	connection_established = .TRUE.
	2640	EXIT
	2641	ENDIF
	2642	ENDDO
	2643
	2644	IF ( .NOT. connection_established ) THEN
	2645	!
	2646	!-- Resize arrays, if necessary
	2647	IF ( in_mp1%noc >= noc1 ) THEN
	2648	ALLOCATE( dum_cv(1:noc1),dum_dtv(1:noc1) )
	2649	dum_cv = in_mp1%connected_vertices
	2650	dum_dtv = in_mp1%distance_to_vertex
	2651	DEALLOCATE( in_mp1%connected_vertices, in_mp1%distance_to_vertex )
	2652	ALLOCATE( in_mp1%connected_vertices(1:2*noc1), &
	2653	in_mp1%distance_to_vertex(1:2*noc1) )
	2654	in_mp1%connected_vertices = -999
	2655	in_mp1%distance_to_vertex = -999.
	2656	in_mp1%connected_vertices(1:noc1) = dum_cv
	2657	in_mp1%distance_to_vertex(1:noc1) = dum_dtv
	2658	ENDIF
	2659
	2660	!
	2661	!-- Add connection
	2662	in_mp1%noc = in_mp1%noc+1
	2663	dist = SQRT( (in_mp1%x - in_mp2%x)2 + (in_mp1%y - in_mp2%y)2 )
	2664	in_mp1%connected_vertices(in_mp1%noc) = id2
	2665	in_mp1%distance_to_vertex(in_mp1%noc) = dist
	2666	ENDIF
	2667
	2668	END SUBROUTINE add_connection
	2669
	2670	!------------------------------------------------------------------------------!
	2671	! Description:
	2672	! ------------
	2673	!> Reduces the size of connection array to the amount of actual connections
	2674	!> after all connetions were added
	2675	!------------------------------------------------------------------------------!
	2676	SUBROUTINE reduce_connections (in_mp)
	2677
	2678	IMPLICIT NONE
	2679
	2680	INTEGER(iwp) :: il !< Local counter
	2681	INTEGER(iwp) :: noc !< Number of connections
	2682
	2683	INTEGER, DIMENSION(:), ALLOCATABLE :: dum_cv !< dummy: connected_vertices
	2684
	2685	REAL(wp), DIMENSION(:), ALLOCATABLE :: dum_dtv !< dummy: distance_to_vertex
	2686
	2687	TYPE(mesh_point) :: in_mp !< Input mesh point
	2688
	2689	noc = in_mp%noc
	2690	ALLOCATE( dum_cv(1:noc),dum_dtv(1:noc) )
	2691	dum_cv = in_mp%connected_vertices(1:noc)
	2692	dum_dtv = in_mp%distance_to_vertex(1:noc)
	2693	DEALLOCATE( in_mp%connected_vertices, in_mp%distance_to_vertex )
	2694	ALLOCATE( in_mp%connected_vertices(1:noc), &
	2695	in_mp%distance_to_vertex(1:noc) )
	2696	in_mp%connected_vertices(1:noc) = dum_cv(1:noc)
	2697	in_mp%distance_to_vertex(1:noc) = dum_dtv(1:noc)
	2698
	2699	END SUBROUTINE reduce_connections
	2700
	2701	!------------------------------------------------------------------------------!
	2702	! Description:
	2703	! ------------
	2704	!> Writes all NavMesh information into binary file and building data to ASCII
	2705	!------------------------------------------------------------------------------!
	2706	SUBROUTINE bin_out_mesh
	2707
	2708	IMPLICIT NONE
	2709
	2710	INTEGER(iwp) :: il !< local counter
	2711	INTEGER(iwp) :: jl !< local counter
	2712	INTEGER(iwp) :: size_of_mesh !< size of mesh
	2713	INTEGER(iwp) :: size_of_pols !< size of polygon
	2714
	2715	WRITE(*,'(X,A)') 'Writing binary output data ...'
	2716
	2717	OPEN ( 14, FILE= TRIM(runname)//'_nav', FORM='UNFORMATTED', STATUS='replace' )
	2718	!
	2719	!-- Output of mesh data
	2720	size_of_mesh = SIZE(mesh)
	2721	WRITE(14) size_of_mesh
	2722	DO il = 1, size_of_mesh
	2723	WRITE(14) mesh(il)%polygon_id, mesh(il)%vertex_id, mesh(il)%noc, &
	2724	mesh(il)%origin_id, mesh(il)%cost_so_far, mesh(il)%x, &
	2725	mesh(il)%y, mesh(il)%x_s, mesh(il)%y_s
	2726	DO jl = 1, mesh(il)%noc
	2727	WRITE(14) mesh(il)%connected_vertices(jl), &
	2728	mesh(il)%distance_to_vertex(jl)
	2729	ENDDO
	2730	ENDDO
	2731	!
	2732	!-- Output of building polygon data
	2733	size_of_pols = SIZE(polygons)
	2734	WRITE(14) size_of_pols
	2735	DO il = 1, size_of_pols
	2736	WRITE(14) polygons(il)%nov
	2737	DO jl = 0, polygons(il)%nov+1
	2738	WRITE(14) polygons(il)%vertices(jl)%delete, &
	2739	polygons(il)%vertices(jl)%x, polygons(il)%vertices(jl)%y
	2740	ENDDO
	2741	ENDDO
	2742	CLOSE(14)
	2743	!
	2744	!-- Output building data to ASCII file
	2745	OPEN(UNIT=7,FILE='topo.txt',STATUS='replace',ACTION='write')
	2746	DO i = 1, polygon_counter
	2747	IF (polygons(i)%nov == 0) CYCLE
	2748	DO j = 1, polygons(i)%nov
	2749	WRITE(7,150) i,j,polygons(i)%vertices(j)%x, &
	2750	polygons(i)%vertices(j)%y
	2751	ENDDO
	2752	ENDDO
	2753	CLOSE(7)
	2754
	2755	WRITE(*,'(6X,A)') 'Done, tool terminating.', ' ', &
	2756	'Before starting your PALM run, please check the', &
	2757	'ASCII file topo.txt to see if you are satisfied', &
	2758	'with the polygon representation of the building', &
	2759	'data. If not, consider adjusting the parameter', &
	2760	'tolerance_dp accordingly.', ' ', 'Bye, Bye!', ' '
	2761	CALL CPU_TIME(finish)
	2762	WRITE(*,'(X,A,F10.4,A)') 'Total runtime: ', finish-start, ' seconds'
	2763
	2764	150 FORMAT (2(I7,X),2(F9.2,X) )
	2765
	2766	END SUBROUTINE bin_out_mesh
	2767
	2768	END MODULE mesh_creation
	2769
	2770	PROGRAM nav_mesh
	2771
	2772	USE mesh_creation
	2773	USE polygon_creation
	2774	USE variables
	2775	IMPLICIT NONE
	2776
	2777
	2778	!
	2779	!-- Start CPU mesurement
	2780	CALL CPU_TIME(start)
	2781	!
	2782	!-- Initialization
	2783	CALL init
	2784
	2785	WRITE(,) "Converting building data to polygons ..."
	2786	!
	2787	!-- Convert gridded building data to polygons
	2788	CALL identify_polygons
	2789	!
	2790	!-- Find corners in topography and add them to polygons
	2791	CALL identify_corners
	2792	!
	2793	!-- Sort polygons counter-clockwise, then simplify them
	2794	DO i = 1, polygon_counter
	2795	polygon => polygons(i)
	2796	nov = polygons(i)%nov
	2797	CALL sort_polygon(i)
	2798	!
	2799	!-- Simplify each polygon using douglas-peucker algorithm. If the number
	2800	!-- of vertices would fall below 4 due to this procedure, the tolerance
	2801	!-- for the algorithm is reduced and it is run again.
[3198]	2802	DO i_sc = 0, 2
[3159]	2803	CALL simplify_polygon(1,nov+1,tolerance_dp(i_sc))
	2804	i_cn = 0
	2805	DO j = 1, nov
	2806	IF ( .NOT. polygon%vertices(j)%delete ) i_cn = i_cn + 1
	2807	ENDDO
	2808	IF ( i_cn > 3 ) THEN
	2809	EXIT
	2810	ELSE
	2811	polygon%vertices(:)%delete = .FALSE.
	2812	ENDIF
	2813	ENDDO
	2814	CALL delete_extra_vertices(i)
	2815	ENDDO
	2816	!
	2817	!-- Remove buildings that are surrounded by another building
	2818	IF ( .NOT. internal_buildings ) THEN
	2819	DO i = 1, polygon_counter
	2820	polygon => polygons(i)
	2821	nov = polygons(i)%nov
	2822	CALL inside_other_polygon(i)
	2823	ENDDO
	2824	ENDIF
	2825	!
	2826	!-- Delete vertices that are marked for deletion
	2827	DO i = 1, polygon_counter
	2828	polygon => polygons(i)
	2829	nov = polygons(i)%nov
	2830	CALL delete_extra_vertices(i)
	2831	ENDDO
	2832	!
	2833	!-- Count number of vertices
	2834	vertex_counter = 0
	2835	DO i = 1, polygon_counter
	2836	polygon => polygons(i)
	2837	nov = polygons(i)%nov
	2838	vertex_counter = vertex_counter + nov
	2839	ENDDO
	2840	!
	2841	!-- Delete polygons with no vertices
	2842	CALL delete_empty_polygons
	2843	WRITE(*,'(2(6X,A,I10,X,A,/))') &
	2844	'Done. Created a total of', polygon_counter, 'polygon(s)', &
	2845	' with a total of', vertex_counter, 'vertices'
	2846	!
	2847	!-- Crate Navigation mesh from polygon data
	2848	CALL create_nav_mesh
	2849	!
	2850	!-- Binary mesh output
	2851	CALL bin_out_mesh
	2852
	2853	END PROGRAM nav_mesh

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