program main !*****************************************************************************80 ! !! MAIN is the main program for TRIANGULATION_PLOT. ! ! Discussion: ! ! TRIANGULATION_PLOT plots a triangulated set of nodes. ! ! Modified: ! ! 21 March 2005 ! ! Author: ! ! John Burkardt ! ! Usage: ! ! triangulation_plot node_file tri_file ! implicit none integer arg_num integer dim_num integer iarg integer iargc character ( len = 256 ) :: input_node_filename = ' ' character ( len = 256 ) :: input_triangulation_filename = ' ' integer node_num integer node_show real ( kind = 8 ), allocatable, dimension ( :, : ) :: node_xy character ( len = 256 ) :: output_filename = ' ' integer triangle_num integer triangle_order integer, allocatable, dimension ( :, : ) :: triangle_node integer triangle_show call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TRIANGULATION_PLOT' write ( *, '(a)' ) ' FORTRAN90 version' write ( *, '(a)' ) ' Read a node dataset of NODE_NUM points in 2 dimensions.' write ( *, '(a)' ) ' Read an associated triangulation dataset of ' write ( *, '(a)' ) ' TRIANGLE_NUM triangles in a triangulation of order' write ( *, '(a)' ) ' TRIANGLE_ORDER = 3 or 6 .' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Make an EPS plot of the triangulated data.' ! ! Get the number of command line arguments. ! arg_num = iargc ( ) ! ! If at least one command line argument, it's the node file name. ! if ( 1 <= arg_num ) then iarg = 1 call getarg ( iarg, input_node_filename ) else write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TRIANGULATION_PLOT:' write ( *, '(a)' ) ' Please enter the name of the node file.' read ( *, '(a)' ) input_node_filename end if ! ! If at least two command line arguments, the second is the triangulation file. ! if ( 2 <= arg_num ) then iarg = 2 call getarg ( iarg, input_triangulation_filename ) else write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TRIANGULATION_PLOT:' write ( *, '(a)' ) ' Please enter the name of the triangulation file.' read ( *, '(a)' ) input_triangulation_filename end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Enter the option for showing the nodes:' write ( *, '(a)' ) ' 0: do not show the nodes;' write ( *, '(a)' ) ' 1: show the nodes;' write ( *, '(a)' ) ' 2: show the nodes, and label them.' read ( *, * ) node_show write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Enter the option for showing the triangles:' write ( *, '(a)' ) ' 0: do not show the triangles;' write ( *, '(a)' ) ' 1: show the triangles;' write ( *, '(a)' ) ' 2: show the triangles, and label them.' read ( *, * ) triangle_show ! ! Need to create the output file name from the input filename. ! output_filename = input_node_filename call file_name_ext_swap ( output_filename, 'eps' ) call dtable_header_read ( input_node_filename, dim_num, node_num ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Read the header of "' & // trim ( input_node_filename ) //'".' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Spatial dimension DIM_NUM = ', dim_num write ( *, '(a,i8)' ) ' Number of nodes NODE_NUM = ', node_num allocate ( node_xy(1:dim_num,1:node_num) ) call dtable_data_read ( input_node_filename, dim_num, node_num, node_xy ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Read the data in "' & // trim ( input_node_filename ) //'".' call r8mat_transpose_print_some ( dim_num, node_num, node_xy, 1, 1, 5, 5, & ' 5 by 5 portion of data read from file:' ) ! ! Read the triangulation data. ! call itable_header_read ( input_triangulation_filename, triangle_order, & triangle_num ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Read the header of "' & // trim ( input_triangulation_filename ) //'".' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Triangle order TRIANGLE_ORDER = ', triangle_order write ( *, '(a,i8)' ) ' Number of triangles TRIANGLE_NUM = ', triangle_num allocate ( triangle_node(1:triangle_order,1:triangle_num) ) call itable_data_read ( input_triangulation_filename, triangle_order, & triangle_num, triangle_node ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Read the data in "' & // trim ( input_triangulation_filename ) //'".' call i4mat_transpose_print_some ( triangle_order, triangle_num, & triangle_node, 1, 1, 5, 5, ' 5 by 5 portion of data read from file:' ) ! ! Create the output file. ! if ( triangle_order == 3 ) then call triangulation_order3_plot ( output_filename, node_num, node_xy, & triangle_num, triangle_node, node_show, triangle_show ) else if ( triangle_order == 6 ) then call triangulation_order6_plot ( output_filename, node_num, node_xy, & triangle_num, triangle_node, node_show, triangle_show ) end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Created the EPS file "' & // trim ( output_filename ) //'".' deallocate ( node_xy ) deallocate ( triangle_node ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TRIANGULATION_PLOT' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop end subroutine ch_cap ( c ) !*****************************************************************************80 ! !! CH_CAP capitalizes a single character. ! ! Modified: ! ! 19 July 1998 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input/output, character C, the character to capitalize. ! implicit none character c integer itemp itemp = ichar ( c ) if ( 97 <= itemp .and. itemp <= 122 ) then c = char ( itemp - 32 ) end if return end function ch_eqi ( c1, c2 ) !*****************************************************************************80 ! !! CH_EQI is a case insensitive comparison of two characters for equality. ! ! Examples: ! ! CH_EQI ( 'A', 'a' ) is .TRUE. ! ! Modified: ! ! 28 July 2000 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character C1, C2, the characters to compare. ! ! Output, logical CH_EQI, the result of the comparison. ! implicit none logical ch_eqi character c1 character c1_cap character c2 character c2_cap c1_cap = c1 c2_cap = c2 call ch_cap ( c1_cap ) call ch_cap ( c2_cap ) if ( c1_cap == c2_cap ) then ch_eqi = .true. else ch_eqi = .false. end if return end subroutine ch_to_digit ( c, digit ) !*****************************************************************************80 ! !! CH_TO_DIGIT returns the integer value of a base 10 digit. ! ! Example: ! ! C DIGIT ! --- ----- ! '0' 0 ! '1' 1 ! ... ... ! '9' 9 ! ' ' 0 ! 'X' -1 ! ! Modified: ! ! 04 August 1999 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character C, the decimal digit, '0' through '9' or blank ! are legal. ! ! Output, integer DIGIT, the corresponding integer value. If C was ! 'illegal', then DIGIT is -1. ! implicit none character c integer digit if ( lge ( c, '0' ) .and. lle ( c, '9' ) ) then digit = ichar ( c ) - 48 else if ( c == ' ' ) then digit = 0 else digit = -1 end if return end subroutine dtable_data_read ( input_filename, m, n, table ) !*****************************************************************************80 ! !! DTABLE_DATA_READ reads data from a double precision table file. ! ! Discussion: ! ! The file may contain more than N points, but this routine will ! return after reading N of them. ! ! Modified: ! ! 07 September 2004 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) INPUT_FILENAME, the name of the input file. ! ! Input, integer M, the spatial dimension. ! ! Input, integer N, the number of points. ! ! Output, real ( kind = 8 ) TABLE(M,N), the table data. ! implicit none integer m integer n integer i integer ierror character ( len = * ) input_filename integer input_unit integer ios character ( len = 255 ) line real ( kind = 8 ) table(m,n) real ( kind = 8 ) x(m) call get_unit ( input_unit ) open ( unit = input_unit, file = input_filename, status = 'old', & iostat = ios ) if ( ios /= 0 ) then ierror = 1 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'DTABLE_DATA_READ - Fatal error!' write ( *, '(a)' ) ' Could not open the input file: ' // & trim ( input_filename ) stop end if i = 0 do while ( i < n ) read ( input_unit, '(a)', iostat = ios ) line if ( ios /= 0 ) then ierror = i exit end if if ( line(1:1) == '#' .or. len_trim ( line ) == 0 ) then cycle end if call s_to_r8vec ( line, m, x, ierror ) if ( ierror /= 0 ) then cycle end if i = i + 1 table(1:m,i) = x(1:m) end do close ( unit = input_unit ) return end subroutine dtable_header_read ( input_filename, m, n ) !*****************************************************************************80 ! !! DTABLE_HEADER_READ reads the header from a double precision table file. ! ! Modified: ! ! 07 September 2004 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) INPUT_FILENAME, the name of the input file. ! ! Output, integer M, spatial dimension. ! ! Output, integer N, the number of points. ! implicit none character ( len = * ) input_filename integer m integer n call file_column_count ( input_filename, m ) if ( m <= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'DTABLE_HEADER_READ - Fatal error!' write ( *, '(a)' ) ' There was some kind of I/O problem while trying' write ( *, '(a)' ) ' to count the number of data columns in' write ( *, '(a)' ) ' the file "' // trim ( input_filename ) // '".' stop end if call file_row_count ( input_filename, n ) if ( n <= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'DTABLE_HEADER_READ - Fatal error!' write ( *, '(a)' ) ' There was some kind of I/O problem while trying' write ( *, '(a)' ) ' to count the number of data rows in' write ( *, '(a)' ) ' the file "' // trim ( input_filename ) // '".' stop end if return end subroutine file_column_count ( input_filename, column_num ) !*****************************************************************************80 ! !! FILE_COLUMN_COUNT counts the number of columns in the first line of a file. ! ! Discussion: ! ! The file is assumed to be a simple text file. ! ! Most lines of the file is presumed to consist of COLUMN_NUM words, ! separated by spaces. There may also be some blank lines, and some ! comment lines, ! which have a "#" in column 1. ! ! The routine tries to find the first non-comment non-blank line and ! counts the number of words in that line. ! ! If all lines are blanks or comments, it goes back and tries to analyze ! a comment line. ! ! Modified: ! ! 21 June 2001 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) INPUT_FILENAME, the name of the file. ! ! Output, integer COLUMN_NUM, the number of columns in the file. ! implicit none integer column_num logical got_one character ( len = * ) input_filename integer input_unit integer ios character ( len = 256 ) line ! ! Open the file. ! call get_unit ( input_unit ) open ( unit = input_unit, file = input_filename, status = 'old', & form = 'formatted', access = 'sequential', iostat = ios ) if ( ios /= 0 ) then column_num = -1 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'FILE_COLUMN_COUNT - Fatal error!' write ( *, '(a)' ) ' Could not open the file:' write ( *, '(a)' ) ' ' // trim ( input_filename ) return end if ! ! Read one line, but skip blank lines and comment lines. ! got_one = .false. do read ( input_unit, '(a)', iostat = ios ) line if ( ios /= 0 ) then exit end if if ( len_trim ( line ) == 0 ) then cycle end if if ( line(1:1) == '#' ) then cycle end if got_one = .true. exit end do if ( .not. got_one ) then rewind ( input_unit ) do read ( input_unit, '(a)', iostat = ios ) line if ( ios /= 0 ) then exit end if if ( len_trim ( line ) == 0 ) then cycle end if got_one = .true. exit end do end if close ( unit = input_unit ) if ( .not. got_one ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'FILE_COLUMN_COUNT - Warning!' write ( *, '(a)' ) ' The file does not seem to contain any data.' column_num = -1 return end if call s_word_count ( line, column_num ) return end subroutine file_name_ext_get ( file_name, i, j ) !*****************************************************************************80 ! !! FILE_NAME_EXT_GET determines the "extension" of a file name. ! ! Definition: ! ! The "extension" of a filename is the string of characters ! that appears after the LAST period in the name. A file ! with no period, or with a period as the last character ! in the name, has a "null" extension. ! ! Note: ! ! Blanks are unusual in filenames. This routine ignores all ! trailing blanks, but will treat initial or internal blanks ! as regular characters acceptable in a file name. ! ! Examples: ! ! FILE_NAME I J ! ! bob.for 4 7 ! N.B.C.D 6 7 ! Naomi. 6 6 ! Arthur 0 0 ! .com 1 1 ! ! Modified: ! ! 17 July 1998 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) FILE_NAME, a file name to be examined. ! ! Output, integer I, J, the indices of the first and last characters ! in the file extension. ! ! If no period occurs in FILE_NAME, then ! I = J = 0; ! Otherwise, ! I is the position of the LAST period in FILE_NAME, and J is the ! position of the last nonblank character following the period. ! implicit none character ( len = * ) file_name integer i integer j integer s_index_last i = s_index_last ( file_name, '.' ) if ( i /= 0 ) then j = len_trim ( file_name ) else j = 0 end if return end subroutine file_name_ext_swap ( file_name, ext ) !*****************************************************************************80 ! !! FILE_NAME_EXT_SWAP replaces the current "extension" of a file name. ! ! Definition: ! ! The "extension" of a filename is the string of characters ! that appears after the LAST period in the name. A file ! with no period, or with a period as the last character ! in the name, has a "null" extension. ! ! Examples: ! ! Input Output ! ================ ========= ! FILE_NAME EXT FILE_NAME ! ! bob.for obj bob.obj ! bob.bob.bob txt bob.bob.txt ! bob yak bob.yak ! ! Modified: ! ! 09 August 1999 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input/output, character ( len = * ) FILE_NAME, a file name. ! On output, the extension of the file has been changed. ! ! Input, character ( len = * ) EXT, the extension to be used on the output ! copy of FILE_NAME, replacing the current extension if any. ! implicit none character ( len = * ) ext character ( len = * ) file_name integer i integer j integer len_max integer len_name len_max = len ( file_name ) len_name = len_trim ( file_name ) call file_name_ext_get ( file_name, i, j ) if ( i == 0 ) then if ( len_max < len_name + 1 ) then return end if len_name = len_name + 1 file_name(len_name:len_name) = '.' i = len_name + 1 else i = i + 1 file_name(i:j) = ' ' end if file_name(i:) = ext return end subroutine file_row_count ( input_filename, row_num ) !*****************************************************************************80 ! !! FILE_ROW_COUNT counts the number of row records in a file. ! ! Discussion: ! ! It does not count lines that are blank, or that begin with a ! comment symbol '#'. ! ! Modified: ! ! 06 March 2003 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) INPUT_FILENAME, the name of the input file. ! ! Output, integer ROW_NUM, the number of rows found. ! implicit none integer bad_num integer comment_num integer ierror character ( len = * ) input_filename integer input_unit integer ios character ( len = 100 ) line integer record_num integer row_num call get_unit ( input_unit ) open ( unit = input_unit, file = input_filename, status = 'old', & iostat = ios ) if ( ios /= 0 ) then row_num = -1; ierror = 1 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'FILE_ROW_COUNT - Fatal error!' write ( *, '(a)' ) ' Could not open the input file: ' // & trim ( input_filename ) stop end if comment_num = 0 row_num = 0 record_num = 0 bad_num = 0 do read ( input_unit, '(a)', iostat = ios ) line if ( ios /= 0 ) then ierror = record_num exit end if record_num = record_num + 1 if ( line(1:1) == '#' ) then comment_num = comment_num + 1 cycle end if if ( len_trim ( line ) == 0 ) then comment_num = comment_num + 1 cycle end if row_num = row_num + 1 end do close ( unit = input_unit ) return end subroutine get_unit ( iunit ) !*****************************************************************************80 ! !! GET_UNIT returns a free FORTRAN unit number. ! ! Discussion: ! ! A "free" FORTRAN unit number is an integer between 1 and 99 which ! is not currently associated with an I/O device. A free FORTRAN unit ! number is needed in order to open a file with the OPEN command. ! ! If IUNIT = 0, then no free FORTRAN unit could be found, although ! all 99 units were checked (except for units 5, 6 and 9, which ! are commonly reserved for console I/O). ! ! Otherwise, IUNIT is an integer between 1 and 99, representing a ! free FORTRAN unit. Note that GET_UNIT assumes that units 5 and 6 ! are special, and will never return those values. ! ! Modified: ! ! 18 September 2005 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Output, integer IUNIT, the free unit number. ! implicit none integer i integer ios integer iunit logical lopen iunit = 0 do i = 1, 99 if ( i /= 5 .and. i /= 6 .and. i /= 9 ) then inquire ( unit = i, opened = lopen, iostat = ios ) if ( ios == 0 ) then if ( .not. lopen ) then iunit = i return end if end if end if end do return end function i4_modp ( i, j ) !*****************************************************************************80 ! !! I4_MODP returns the nonnegative remainder of I4 division. ! ! Formula: ! ! If ! NREM = I4_MODP ( I, J ) ! NMULT = ( I - NREM ) / J ! then ! I = J * NMULT + NREM ! where NREM is always nonnegative. ! ! Comments: ! ! The MOD function computes a result with the same sign as the ! quantity being divided. Thus, suppose you had an angle A, ! and you wanted to ensure that it was between 0 and 360. ! Then mod(A,360) would do, if A was positive, but if A ! was negative, your result would be between -360 and 0. ! ! On the other hand, I4_MODP(A,360) is between 0 and 360, always. ! ! Examples: ! ! I J MOD I4_MODP Factorization ! ! 107 50 7 7 107 = 2 * 50 + 7 ! 107 -50 7 7 107 = -2 * -50 + 7 ! -107 50 -7 43 -107 = -3 * 50 + 43 ! -107 -50 -7 43 -107 = 3 * -50 + 43 ! ! Modified: ! ! 02 March 1999 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, integer I, the number to be divided. ! ! Input, integer J, the number that divides I. ! ! Output, integer I4_MODP, the nonnegative remainder when I is ! divided by J. ! implicit none integer i integer i4_modp integer j if ( j == 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'I4_MODP - Fatal error!' write ( *, '(a,i8)' ) ' I4_MODP ( I, J ) called with J = ', j stop end if i4_modp = mod ( i, j ) if ( i4_modp < 0 ) then i4_modp = i4_modp + abs ( j ) end if return end function i4_wrap ( ival, ilo, ihi ) !*****************************************************************************80 ! !! I4_WRAP forces an I4 to lie between given limits by wrapping. ! ! Example: ! ! ILO = 4, IHI = 8 ! ! I I4_WRAP ! ! -2 8 ! -1 4 ! 0 5 ! 1 6 ! 2 7 ! 3 8 ! 4 4 ! 5 5 ! 6 6 ! 7 7 ! 8 8 ! 9 4 ! 10 5 ! 11 6 ! 12 7 ! 13 8 ! 14 4 ! ! Modified: ! ! 15 July 2000 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, integer IVAL, an integer value. ! ! Input, integer ILO, IHI, the desired bounds for the integer value. ! ! Output, integer I4_WRAP, a "wrapped" version of IVAL. ! implicit none integer i4_modp integer i4_wrap integer ihi integer ilo integer ival integer wide wide = ihi + 1 - ilo if ( wide == 0 ) then i4_wrap = ilo else i4_wrap = ilo + i4_modp ( ival-ilo, wide ) end if return end subroutine i4mat_transpose_print_some ( m, n, a, ilo, jlo, ihi, jhi, title ) !*****************************************************************************80 ! !! I4MAT_TRANSPOSE_PRINT_SOME prints some of the transpose of an I4MAT. ! ! Discussion: ! ! An I4MAT is a rectangular array of integer values. ! ! Modified: ! ! 09 February 2005 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, integer M, N, the number of rows and columns. ! ! Input, integer A(M,N), an M by N matrix to be printed. ! ! Input, integer ILO, JLO, the first row and column to print. ! ! Input, integer IHI, JHI, the last row and column to print. ! ! Input, character ( len = * ) TITLE, an optional title. ! implicit none integer, parameter :: incx = 10 integer m integer n integer a(m,n) character ( len = 8 ) ctemp(incx) integer i integer i2 integer i2hi integer i2lo integer ihi integer ilo integer inc integer j integer j2hi integer j2lo integer jhi integer jlo character ( len = * ) title if ( 0 < len_trim ( title ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) trim ( title ) end if do i2lo = max ( ilo, 1 ), min ( ihi, m ), incx i2hi = i2lo + incx - 1 i2hi = min ( i2hi, m ) i2hi = min ( i2hi, ihi ) inc = i2hi + 1 - i2lo write ( *, '(a)' ) ' ' do i = i2lo, i2hi i2 = i + 1 - i2lo write ( ctemp(i2), '(i8)' ) i end do write ( *, '('' Row '',10a8)' ) ctemp(1:inc) write ( *, '(a)' ) ' Col' write ( *, '(a)' ) ' ' j2lo = max ( jlo, 1 ) j2hi = min ( jhi, n ) do j = j2lo, j2hi do i2 = 1, inc i = i2lo - 1 + i2 write ( ctemp(i2), '(i8)' ) a(i,j) end do write ( *, '(i5,1x,10a8)' ) j, ( ctemp(i), i = 1, inc ) end do end do write ( *, '(a)' ) ' ' return end subroutine itable_data_read ( input_filename, m, n, table ) !*****************************************************************************80 ! !! ITABLE_DATA_READ reads data from an integer table file. ! ! Discussion: ! ! The file may contain more than N points, but this routine ! will return after reading N points. ! ! Modified: ! ! 08 October 2003 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) INPUT_FILENAME, the name of the input file. ! ! Input, integer M, the spatial dimension. ! ! Input, integer N, the number of points. ! ! Output, integer TABLE(M,N), the table data. ! implicit none integer m integer n integer i integer ierror character ( len = * ) input_filename integer input_unit integer ios character ( len = 255 ) line integer table(m,n) integer x(m) call get_unit ( input_unit ) open ( unit = input_unit, file = input_filename, status = 'old', & iostat = ios ) if ( ios /= 0 ) then ierror = 1 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'ITABLE_DATA_READ - Fatal error!' write ( *, '(a)' ) ' Could not open the input file: ' // & trim ( input_filename ) stop end if i = 0 do while ( i < n ) read ( input_unit, '(a)', iostat = ios ) line if ( ios /= 0 ) then ierror = i exit end if if ( line(1:1) == '#' .or. len_trim ( line ) == 0 ) then cycle end if call s_to_i4vec ( line, m, x, ierror ) if ( ierror /= 0 ) then cycle end if i = i + 1 table(1:m,i) = x(1:m) end do close ( unit = input_unit ) return end subroutine itable_header_read ( input_filename, m, n ) !*****************************************************************************80 ! !! ITABLE_HEADER_READ reads the header from an integer table file. ! ! Modified: ! ! 04 June 2004 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) INPUT_FILENAME, the name of the input file. ! ! Output, integer M, spatial dimension. ! ! Output, integer N, the number of points. ! implicit none character ( len = * ) input_filename integer m integer n call file_column_count ( input_filename, m ) if ( m <= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'ITABLE_HEADER_READ - Fatal error!' write ( *, '(a)' ) ' There was some kind of I/O problem while trying' write ( *, '(a)' ) ' to count the number of data columns in' write ( *, '(a)' ) ' the file "' // trim ( input_filename ) // '".' stop end if call file_row_count ( input_filename, n ) if ( n <= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'ITABLE_HEADER_READ - Fatal error!' write ( *, '(a)' ) ' There was some kind of I/O problem while trying' write ( *, '(a)' ) ' to count the number of data rows in' write ( *, '(a)' ) ' the file "' // trim ( input_filename ) // '".' stop end if return end subroutine r8mat_transpose_print_some ( m, n, a, ilo, jlo, ihi, jhi, title ) !*****************************************************************************80 ! !! R8MAT_TRANSPOSE_PRINT_SOME prints some of an R8MAT, transposed. ! ! Discussion: ! ! An R8MAT is a two dimensional matrix of double precision real values. ! ! Modified: ! ! 14 June 2004 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, integer M, N, the number of rows and columns. ! ! Input, real ( kind = 8 ) A(M,N), an M by N matrix to be printed. ! ! Input, integer ILO, JLO, the first row and column to print. ! ! Input, integer IHI, JHI, the last row and column to print. ! ! Input, character ( len = * ) TITLE, an optional title. ! implicit none integer, parameter :: incx = 5 integer m integer n real ( kind = 8 ) a(m,n) character ( len = 14 ) ctemp(incx) integer i integer i2 integer i2hi integer i2lo integer ihi integer ilo integer inc integer j integer j2hi integer j2lo integer jhi integer jlo character ( len = * ) title if ( 0 < len_trim ( title ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) trim ( title ) end if do i2lo = max ( ilo, 1 ), min ( ihi, m ), incx i2hi = i2lo + incx - 1 i2hi = min ( i2hi, m ) i2hi = min ( i2hi, ihi ) inc = i2hi + 1 - i2lo write ( *, '(a)' ) ' ' do i = i2lo, i2hi i2 = i + 1 - i2lo write ( ctemp(i2), '(i8,6x)' ) i end do write ( *, '('' Row '',5a14)' ) ctemp(1:inc) write ( *, '(a)' ) ' Col' write ( *, '(a)' ) ' ' j2lo = max ( jlo, 1 ) j2hi = min ( jhi, n ) do j = j2lo, j2hi do i2 = 1, inc i = i2lo - 1 + i2 write ( ctemp(i2), '(g14.6)' ) a(i,j) end do write ( *, '(i5,1x,5a14)' ) j, ( ctemp(i), i = 1, inc ) end do end do write ( *, '(a)' ) ' ' return end function s_index_last ( s, sub ) !*****************************************************************************80 ! !! S_INDEX_LAST finds the LAST occurrence of a given substring. ! ! Discussion: ! ! It returns the location in the string at which the substring SUB is ! first found, or 0 if the substring does not occur at all. ! ! The routine is also trailing blank insensitive. This is very ! important for those cases where you have stored information in ! larger variables. If S is of length 80, and SUB is of ! length 80, then if S = 'FRED' and SUB = 'RED', a match would ! not be reported by the standard FORTRAN INDEX, because it treats ! both variables as being 80 characters long! This routine assumes that ! trailing blanks represent garbage! ! ! This means that this routine cannot be used to find, say, the last ! occurrence of a substring 'A ', since it assumes the blank space ! was not specified by the user, but is, rather, padding by the ! system. However, as a special case, this routine can properly handle ! the case where either S or SUB is all blanks. ! ! Modified: ! ! 14 April 1999 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) S, the string to be searched. ! ! Input, character ( len = * ) SUB, the substring to search for. ! ! Output, integer S_INDEX_LAST. 0 if SUB does not occur in ! the string. Otherwise S_INDEX_LAST = I, where S(I:I+LENS-1) = SUB, ! where LENS is the length of SUB, and is the last place ! this happens. ! implicit none integer i integer j integer llen1 integer llen2 character ( len = * ) s integer s_index_last character ( len = * ) sub s_index_last = 0 llen1 = len_trim ( s ) llen2 = len_trim ( sub ) ! ! In case S or SUB is blanks, use LEN ! if ( llen1 == 0 ) then llen1 = len ( s ) end if if ( llen2 == 0 ) then llen2 = len ( sub ) end if if ( llen1 < llen2 ) then return end if do j = 1, llen1+1-llen2 i = llen1 + 2 - llen2 - j if ( s(i:i+llen2-1) == sub ) then s_index_last = i return end if end do return end subroutine s_to_i4 ( s, ival, ierror, length ) !*****************************************************************************80 ! !! S_TO_I4 reads an I4 from a string. ! ! Modified: ! ! 28 June 2000 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) S, a string to be examined. ! ! Output, integer IVAL, the integer value read from the string. ! If the string is blank, then IVAL will be returned 0. ! ! Output, integer IERROR, an error flag. ! 0, no error. ! 1, an error occurred. ! ! Output, integer LENGTH, the number of characters of S used to make IVAL. ! implicit none character c integer i integer ierror integer isgn integer istate integer ival integer length character ( len = * ) s ierror = 0 istate = 0 isgn = 1 ival = 0 do i = 1, len_trim ( s ) c = s(i:i) ! ! Haven't read anything. ! if ( istate == 0 ) then if ( c == ' ' ) then else if ( c == '-' ) then istate = 1 isgn = -1 else if ( c == '+' ) then istate = 1 isgn = + 1 else if ( lle ( '0', c ) .and. lle ( c, '9' ) ) then istate = 2 ival = ichar ( c ) - ichar ( '0' ) else ierror = 1 return end if ! ! Have read the sign, expecting digits. ! else if ( istate == 1 ) then if ( c == ' ' ) then else if ( lle ( '0', c ) .and. lle ( c, '9' ) ) then istate = 2 ival = ichar ( c ) - ichar ( '0' ) else ierror = 1 return end if ! ! Have read at least one digit, expecting more. ! else if ( istate == 2 ) then if ( lle ( '0', c ) .and. lle ( c, '9' ) ) then ival = 10 * ival + ichar ( c ) - ichar ( '0' ) else ival = isgn * ival length = i - 1 return end if end if end do ! ! If we read all the characters in the string, see if we're OK. ! if ( istate == 2 ) then ival = isgn * ival length = len_trim ( s ) else ierror = 1 length = 0 end if return end subroutine s_to_i4vec ( s, n, ivec, ierror ) !*****************************************************************************80 ! !! S_TO_I4VEC reads an I4VEC from a string. ! ! Modified: ! ! 08 October 2003 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) S, the string to be read. ! ! Input, integer N, the number of values expected. ! ! Output, integer IVEC(N), the values read from the string. ! ! Output, integer IERROR, error flag. ! 0, no errors occurred. ! -K, could not read data for entries -K through N. ! implicit none integer n integer i integer ierror integer ilo integer ivec(n) integer length character ( len = * ) s i = 0 ilo = 1 do while ( i < n ) i = i + 1 call s_to_i4 ( s(ilo:), ivec(i), ierror, length ) if ( ierror /= 0 ) then ierror = -i exit end if ilo = ilo + length end do return end subroutine s_to_r8 ( s, dval, ierror, length ) !*****************************************************************************80 ! !! S_TO_R8 reads an R8 from a string. ! ! Discussion: ! ! The routine will read as many characters as possible until it reaches ! the end of the string, or encounters a character which cannot be ! part of the number. ! ! Legal input is: ! ! 1 blanks, ! 2 '+' or '-' sign, ! 2.5 blanks ! 3 integer part, ! 4 decimal point, ! 5 fraction part, ! 6 'E' or 'e' or 'D' or 'd', exponent marker, ! 7 exponent sign, ! 8 exponent integer part, ! 9 exponent decimal point, ! 10 exponent fraction part, ! 11 blanks, ! 12 final comma or semicolon, ! ! with most quantities optional. ! ! Examples: ! ! S DVAL ! ! '1' 1.0 ! ' 1 ' 1.0 ! '1A' 1.0 ! '12,34,56' 12.0 ! ' 34 7' 34.0 ! '-1E2ABCD' -100.0 ! '-1X2ABCD' -1.0 ! ' 2E-1' 0.2 ! '23.45' 23.45 ! '-4.2E+2' -420.0 ! '17d2' 1700.0 ! '-14e-2' -0.14 ! 'e2' 100.0 ! '-12.73e-9.23' -12.73 * 10.0**(-9.23) ! ! Modified: ! ! 07 September 2004 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) S, the string containing the ! data to be read. Reading will begin at position 1 and ! terminate at the end of the string, or when no more ! characters can be read to form a legal real. Blanks, ! commas, or other nonnumeric data will, in particular, ! cause the conversion to halt. ! ! Output, real ( kind = 8 ) DVAL, the value read from the string. ! ! Output, integer IERROR, error flag. ! 0, no errors occurred. ! 1, 2, 6 or 7, the input number was garbled. The ! value of IERROR is the last type of input successfully ! read. For instance, 1 means initial blanks, 2 means ! a plus or minus sign, and so on. ! ! Output, integer LENGTH, the number of characters read ! to form the number, including any terminating ! characters such as a trailing comma or blanks. ! implicit none logical ch_eqi character c real ( kind = 8 ) dval integer ierror integer ihave integer isgn integer iterm integer jbot integer jsgn integer jtop integer length integer nchar integer ndig real ( kind = 8 ) rbot real ( kind = 8 ) rexp real ( kind = 8 ) rtop character ( len = * ) s nchar = len_trim ( s ) ierror = 0 dval = 0.0D+00 length = -1 isgn = 1 rtop = 0 rbot = 1 jsgn = 1 jtop = 0 jbot = 1 ihave = 1 iterm = 0 do length = length + 1 if ( nchar < length+1 ) then exit end if c = s(length+1:length+1) ! ! Blank character. ! if ( c == ' ' ) then if ( ihave == 2 ) then else if ( ihave == 6 .or. ihave == 7 ) then iterm = 1 else if ( 1 < ihave ) then ihave = 11 end if ! ! Comma. ! else if ( c == ',' .or. c == ';' ) then if ( ihave /= 1 ) then iterm = 1 ihave = 12 length = length + 1 end if ! ! Minus sign. ! else if ( c == '-' ) then if ( ihave == 1 ) then ihave = 2 isgn = -1 else if ( ihave == 6 ) then ihave = 7 jsgn = -1 else iterm = 1 end if ! ! Plus sign. ! else if ( c == '+' ) then if ( ihave == 1 ) then ihave = 2 else if ( ihave == 6 ) then ihave = 7 else iterm = 1 end if ! ! Decimal point. ! else if ( c == '.' ) then if ( ihave < 4 ) then ihave = 4 else if ( 6 <= ihave .and. ihave <= 8 ) then ihave = 9 else iterm = 1 end if ! ! Scientific notation exponent marker. ! else if ( ch_eqi ( c, 'E' ) .or. ch_eqi ( c, 'D' ) ) then if ( ihave < 6 ) then ihave = 6 else iterm = 1 end if ! ! Digit. ! else if ( ihave < 11 .and. lle ( '0', c ) .and. lle ( c, '9' ) ) then if ( ihave <= 2 ) then ihave = 3 else if ( ihave == 4 ) then ihave = 5 else if ( ihave == 6 .or. ihave == 7 ) then ihave = 8 else if ( ihave == 9 ) then ihave = 10 end if call ch_to_digit ( c, ndig ) if ( ihave == 3 ) then rtop = 10.0D+00 * rtop + real ( ndig, kind = 8 ) else if ( ihave == 5 ) then rtop = 10.0D+00 * rtop + real ( ndig, kind = 8 ) rbot = 10.0D+00 * rbot else if ( ihave == 8 ) then jtop = 10 * jtop + ndig else if ( ihave == 10 ) then jtop = 10 * jtop + ndig jbot = 10 * jbot end if ! ! Anything else is regarded as a terminator. ! else iterm = 1 end if ! ! If we haven't seen a terminator, and we haven't examined the ! entire string, go get the next character. ! if ( iterm == 1 ) then exit end if end do ! ! If we haven't seen a terminator, and we have examined the ! entire string, then we're done, and LENGTH is equal to NCHAR. ! if ( iterm /= 1 .and. length+1 == nchar ) then length = nchar end if ! ! Number seems to have terminated. Have we got a legal number? ! Not if we terminated in states 1, 2, 6 or 7! ! if ( ihave == 1 .or. ihave == 2 .or. ihave == 6 .or. ihave == 7 ) then ierror = ihave write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'S_TO_R8 - Serious error!' write ( *, '(a)' ) ' Illegal or nonnumeric input:' write ( *, '(a)' ) ' ' // trim ( s ) return end if ! ! Number seems OK. Form it. ! if ( jtop == 0 ) then rexp = 1.0D+00 else if ( jbot == 1 ) then rexp = 10.0D+00 ** ( jsgn * jtop ) else rexp = 10.0D+00 ** ( real ( jsgn * jtop, kind = 8 ) & / real ( jbot, kind = 8 ) ) end if end if dval = real ( isgn, kind = 8 ) * rexp * rtop / rbot return end subroutine s_to_r8vec ( s, n, rvec, ierror ) !*****************************************************************************80 ! !! S_TO_R8VEC reads an R8VEC from a string. ! ! Modified: ! ! 07 September 2004 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) S, the string to be read. ! ! Input, integer N, the number of values expected. ! ! Output, real ( kind = 8 ) RVEC(N), the values read from the string. ! ! Output, integer IERROR, error flag. ! 0, no errors occurred. ! -K, could not read data for entries -K through N. ! implicit none integer n integer i integer ierror integer ilo integer lchar real ( kind = 8 ) rvec(n) character ( len = * ) s i = 0 ilo = 1 do while ( i < n ) i = i + 1 call s_to_r8 ( s(ilo:), rvec(i), ierror, lchar ) if ( ierror /= 0 ) then ierror = -i exit end if ilo = ilo + lchar end do return end subroutine s_word_count ( s, nword ) !*****************************************************************************80 ! !! S_WORD_COUNT counts the number of "words" in a string. ! ! Modified: ! ! 14 April 1999 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) S, the string to be examined. ! ! Output, integer NWORD, the number of "words" in the string. ! Words are presumed to be separated by one or more blanks. ! implicit none logical blank integer i integer lens integer nword character ( len = * ) s nword = 0 lens = len ( s ) if ( lens <= 0 ) then return end if blank = .true. do i = 1, lens if ( s(i:i) == ' ' ) then blank = .true. else if ( blank ) then nword = nword + 1 blank = .false. end if end do return end subroutine timestamp ( ) !*****************************************************************************80 ! !! TIMESTAMP prints the current YMDHMS date as a time stamp. ! ! Example: ! ! May 31 2001 9:45:54.872 AM ! ! Modified: ! ! 15 March 2003 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! None ! implicit none character ( len = 40 ) string call timestring ( string ) write ( *, '(a)' ) trim ( string ) return end subroutine timestring ( string ) !*****************************************************************************80 ! !! TIMESTRING writes the current YMDHMS date into a string. ! ! Example: ! ! STRING = 'May 31 2001 9:45:54.872 AM' ! ! Modified: ! ! 15 March 2003 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Output, character ( len = * ) STRING, contains the date information. ! A character length of 40 should always be sufficient. ! implicit none character ( len = 8 ) ampm integer d character ( len = 8 ) date integer h integer m integer mm character ( len = 9 ), parameter, dimension(12) :: month = (/ & 'January ', 'February ', 'March ', 'April ', & 'May ', 'June ', 'July ', 'August ', & 'September', 'October ', 'November ', 'December ' /) integer n integer s character ( len = * ) string character ( len = 10 ) time integer values(8) integer y character ( len = 5 ) zone call date_and_time ( date, time, zone, values ) y = values(1) m = values(2) d = values(3) h = values(5) n = values(6) s = values(7) mm = values(8) if ( h < 12 ) then ampm = 'AM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Noon' else ampm = 'PM' end if else h = h - 12 if ( h < 12 ) then ampm = 'PM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Midnight' else ampm = 'AM' end if end if end if write ( string, '(a,1x,i2,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)' ) & trim ( month(m) ), d, y, h, ':', n, ':', s, '.', mm, trim ( ampm ) return end subroutine triangulation_order3_plot ( file_name, node_num, node_xy, & triangle_num, triangle_node, node_show, triangle_show ) !*****************************************************************************80 ! !! TRIANGULATION_ORDER3_PLOT plots a 3-node triangulation of a pointset. ! ! Discussion: ! ! The triangulation is most usually a Delaunay triangulation, ! but this is not necessary. ! ! Modified: ! ! 26 September 2006 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) FILE_NAME, the name of the output file. ! ! Input, integer NODE_NUM, the number of points. ! ! Input, real ( kind = 8 ) NODE_XY(2,NODE_NUM), the nodes. ! ! Input, integer TRIANGLE_NUM, the number of triangles. ! ! Input, integer TRIANGLE_NODE(3,TRIANGLE_NUM), lists, for each triangle, ! the indices of the points that form the vertices of the triangle. ! ! Input, integer NODE_SHOW, ! 0, do not show nodes; ! 1, show nodes; ! 2, show nodes and label them. ! ! Input, integer TRIANGLE_SHOW, ! 0, do not show triangles; ! 1, show triangles; ! 2, show triangles and label them. ! implicit none integer node_num integer triangle_num real ( kind = 8 ) ave_x real ( kind = 8 ) ave_y character ( len = 40 ) date_time integer :: circle_size integer delta integer e character ( len = * ) file_name integer file_unit integer i integer i4_wrap integer ios integer node integer node_show real ( kind = 8 ) node_xy(2,node_num) character ( len = 40 ) string integer triangle integer triangle_node(3,triangle_num) integer triangle_show real ( kind = 8 ) x_max real ( kind = 8 ) x_min integer x_ps integer :: x_ps_max = 576 integer :: x_ps_max_clip = 594 integer :: x_ps_min = 36 integer :: x_ps_min_clip = 18 real ( kind = 8 ) x_scale real ( kind = 8 ) y_max real ( kind = 8 ) y_min integer y_ps integer :: y_ps_max = 666 integer :: y_ps_max_clip = 684 integer :: y_ps_min = 126 integer :: y_ps_min_clip = 108 real ( kind = 8 ) y_scale call timestring ( date_time ) ! ! We need to do some figuring here, so that we can determine ! the range of the data, and hence the height and width ! of the piece of paper. ! x_max = maxval ( node_xy(1,1:node_num) ) x_min = minval ( node_xy(1,1:node_num) ) x_scale = x_max - x_min x_max = x_max + 0.05D+00 * x_scale x_min = x_min - 0.05D+00 * x_scale x_scale = x_max - x_min y_max = maxval ( node_xy(2,1:node_num) ) y_min = minval ( node_xy(2,1:node_num) ) y_scale = y_max - y_min y_max = y_max + 0.05D+00 * y_scale y_min = y_min - 0.05D+00 * y_scale y_scale = y_max - y_min if ( x_scale < y_scale ) then delta = nint ( real ( x_ps_max - x_ps_min, kind = 8 ) & * ( y_scale - x_scale ) / ( 2.0D+00 * y_scale ) ) x_ps_max = x_ps_max - delta x_ps_min = x_ps_min + delta x_ps_max_clip = x_ps_max_clip - delta x_ps_min_clip = x_ps_min_clip + delta x_scale = y_scale else if ( y_scale < x_scale ) then delta = nint ( real ( y_ps_max - y_ps_min, kind = 8 ) & * ( x_scale - y_scale ) / ( 2.0D+00 * x_scale ) ) y_ps_max = y_ps_max - delta y_ps_min = y_ps_min + delta y_ps_max_clip = y_ps_max_clip - delta y_ps_min_clip = y_ps_min_clip + delta y_scale = x_scale end if call get_unit ( file_unit ) open ( unit = file_unit, file = file_name, status = 'replace', & iostat = ios ) if ( ios /= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TRIANGULATION_ORDER3_PLOT - Fatal error!' write ( *, '(a)' ) ' Can not open output file.' return end if write ( file_unit, '(a)' ) '%!PS-Adobe-3.0 EPSF-3.0' write ( file_unit, '(a)' ) '%%Creator: triangulation_order3_plot.f90' write ( file_unit, '(a)' ) '%%Title: ' // trim ( file_name ) write ( file_unit, '(a)' ) '%%CreationDate: ' // trim ( date_time ) write ( file_unit, '(a)' ) '%%Pages: 1' write ( file_unit, '(a,i3,2x,i3,2x,i3,2x,i3)' ) '%%BoundingBox: ', & x_ps_min, y_ps_min, x_ps_max, y_ps_max write ( file_unit, '(a)' ) '%%Document-Fonts: Times-Roman' write ( file_unit, '(a)' ) '%%LanguageLevel: 1' write ( file_unit, '(a)' ) '%%EndComments' write ( file_unit, '(a)' ) '%%BeginProlog' write ( file_unit, '(a)' ) '/inch {72 mul} def' write ( file_unit, '(a)' ) '%%EndProlog' write ( file_unit, '(a)' ) '%%Page: 1 1' write ( file_unit, '(a)' ) 'save' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB line color to very light gray.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.900 0.900 0.900 setrgbcolor' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Draw a gray border around the page.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) 'newpath' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_min, y_ps_min, ' moveto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_max, y_ps_min, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_max, y_ps_max, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_min, y_ps_max, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_min, y_ps_min, ' lineto' write ( file_unit, '(a)' ) 'stroke' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to black.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.000 0.000 0.000 setrgbcolor' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the font and its size.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '/Times-Roman findfont' write ( file_unit, '(a)' ) '0.50 inch scalefont' write ( file_unit, '(a)' ) 'setfont' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Print a title.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% 210 702 moveto' write ( file_unit, '(a)' ) '% (Triangulation) show' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Define a clipping polygon.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) 'newpath' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_min_clip, y_ps_min_clip, ' moveto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_max_clip, y_ps_min_clip, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_max_clip, y_ps_max_clip, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_min_clip, y_ps_max_clip, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_min_clip, y_ps_min_clip, ' lineto' write ( file_unit, '(a)' ) 'clip newpath' ! ! Draw the nodes. ! if ( node_num <= 200 ) then circle_size = 5 else if ( node_num <= 500 ) then circle_size = 4 else if ( node_num <= 1000 ) then circle_size = 3 else if ( node_num <= 5000 ) then circle_size = 2 else circle_size = 1 end if if ( 1 <= node_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Draw filled dots at the nodes.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to blue.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.000 0.150 0.750 setrgbcolor' write ( file_unit, '(a)' ) '%' do node = 1, node_num x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( file_unit, '(a,i4,2x,i4,2x,i4,2x,a)' ) 'newpath ', x_ps, y_ps, & circle_size, '0 360 arc closepath fill' end do end if ! ! Label the nodes. ! if ( 2 <= node_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Label the nodes:' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to darker blue.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.000 0.250 0.850 setrgbcolor' write ( file_unit, '(a)' ) '/Times-Roman findfont' write ( file_unit, '(a)' ) '0.20 inch scalefont' write ( file_unit, '(a)' ) 'setfont' write ( file_unit, '(a)' ) '%' do node = 1, node_num x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( + node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( string, '(i4)' ) node string = adjustl ( string ) write ( file_unit, '(i4,2x,i4,a)' ) x_ps, y_ps+5, & ' moveto (' // trim ( string ) // ') show' end do end if ! ! Draw the triangles. ! if ( 1 <= triangle_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to red.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.900 0.200 0.100 setrgbcolor' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Draw the triangles.' write ( file_unit, '(a)' ) '%' do triangle = 1, triangle_num write ( file_unit, '(a)' ) 'newpath' do i = 1, 4 e = i4_wrap ( i, 1, 3 ) node = triangle_node(e,triangle) x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) if ( i == 1 ) then write ( file_unit, '(i3,2x,i3,2x,a)' ) x_ps, y_ps, ' moveto' else write ( file_unit, '(i3,2x,i3,2x,a)' ) x_ps, y_ps, ' lineto' end if end do write ( file_unit, '(a)' ) 'stroke' end do end if ! ! Label the triangles. ! if ( 2 <= triangle_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Label the triangles:' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to darker red.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.950 0.250 0.150 setrgbcolor' write ( file_unit, '(a)' ) '/Times-Roman findfont' write ( file_unit, '(a)' ) '0.20 inch scalefont' write ( file_unit, '(a)' ) 'setfont' write ( file_unit, '(a)' ) '%' do triangle = 1, triangle_num ave_x = 0.0D+00 ave_y = 0.0D+00 do i = 1, 3 node = triangle_node(i,triangle) ave_x = ave_x + node_xy(1,node) ave_y = ave_y + node_xy(2,node) end do ave_x = ave_x / 3.0D+00 ave_y = ave_y / 3.0D+00 x_ps = int ( & ( ( x_max - ave_x ) * real ( x_ps_min, kind = 8 ) & + ( + ave_x - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - ave_y ) * real ( y_ps_min, kind = 8 ) & + ( ave_y - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( string, '(i4)' ) triangle string = adjustl ( string ) write ( file_unit, '(i4,2x,i4,a)' ) x_ps, y_ps, ' moveto (' & // trim ( string ) // ') show' end do end if write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) 'restore showpage' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% End of page.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '%%Trailer' write ( file_unit, '(a)' ) '%%EOF' close ( unit = file_unit ) return end subroutine triangulation_order6_plot ( file_name, node_num, node_xy, triangle_num, & triangle_node, node_show, triangle_show ) !*****************************************************************************80 ! !! TRIANGULATION_ORDER6_PLOT plots a 6-node triangulation of a pointset. ! ! Discussion: ! ! The triangulation is most usually a Delaunay triangulation, ! but this is not necessary. ! ! In a six node triangulation, it is assumed that nodes 1, 2, and 3 ! are the vertices of the triangles, and that nodes 4, 5, and 6 ! lie between 1 and 2, 2 and 3, and 3 and 1 respectively. ! ! Modified: ! ! 26 September 2006 ! ! Author: ! ! John Burkardt ! ! Parameters: ! ! Input, character ( len = * ) FILE_NAME, the name of the output file. ! ! Input, integer NODE_NUM, the number of points. ! ! Input, real ( kind = 8 ) NODE_XY(2,NODE_NUM), the nodes. ! ! Input, integer TRIANGLE_NUM, the number of triangles. ! ! Input, integer TRIANGLE_NODE(6,TRIANGLE_NUM), lists, for each triangle, ! the indices of the points that form the vertices of the triangle. ! ! Input, integer NODE_SHOW, ! 0, do not show nodes; ! 1, show nodes; ! 2, show nodes and label them. ! ! Input, integer TRIANGLE_SHOW, ! 0, do not show triangles; ! 1, show triangles; ! 2, show triangles and label them. ! ! Local parameters: ! ! Integer CIRCLE_SIZE, controls the size of the circles depicting ! the nodes. Currently set to 5. 3 is pretty small, and 1 is ! barely visible. ! implicit none integer node_num integer triangle_num real ( kind = 8 ) ave_x real ( kind = 8 ) ave_y character ( len = 40 ) date_time integer :: circle_size integer delta character ( len = * ) file_name integer file_unit integer i integer ios integer node integer node_show real ( kind = 8 ) node_xy(2,node_num) character ( len = 40 ) string integer triangle integer triangle_node(6,triangle_num) integer triangle_show real ( kind = 8 ) x_max real ( kind = 8 ) x_min integer x_ps integer :: x_ps_max = 576 integer :: x_ps_max_clip = 594 integer :: x_ps_min = 36 integer :: x_ps_min_clip = 18 real ( kind = 8 ) x_scale real ( kind = 8 ) y_max real ( kind = 8 ) y_min integer y_ps integer :: y_ps_max = 666 integer :: y_ps_max_clip = 684 integer :: y_ps_min = 126 integer :: y_ps_min_clip = 108 real ( kind = 8 ) y_scale call timestring ( date_time ) ! ! We need to do some figuring here, so that we can determine ! the range of the data, and hence the height and width ! of the piece of paper. ! x_max = maxval ( node_xy(1,1:node_num) ) x_min = minval ( node_xy(1,1:node_num) ) x_scale = x_max - x_min x_max = x_max + 0.05D+00 * x_scale x_min = x_min - 0.05D+00 * x_scale x_scale = x_max - x_min y_max = maxval ( node_xy(2,1:node_num) ) y_min = minval ( node_xy(2,1:node_num) ) y_scale = y_max - y_min y_max = y_max + 0.05D+00 * y_scale y_min = y_min - 0.05D+00 * y_scale y_scale = y_max - y_min if ( x_scale < y_scale ) then delta = nint ( real ( x_ps_max - x_ps_min, kind = 8 ) & * ( y_scale - x_scale ) / ( 2.0D+00 * y_scale ) ) x_ps_max = x_ps_max - delta x_ps_min = x_ps_min + delta x_ps_max_clip = x_ps_max_clip - delta x_ps_min_clip = x_ps_min_clip + delta x_scale = y_scale else if ( y_scale < x_scale ) then delta = nint ( real ( y_ps_max - y_ps_min, kind = 8 ) & * ( x_scale - y_scale ) / ( 2.0D+00 * x_scale ) ) y_ps_max = y_ps_max - delta y_ps_min = y_ps_min + delta y_ps_max_clip = y_ps_max_clip - delta y_ps_min_clip = y_ps_min_clip + delta y_scale = x_scale end if ! ! Open the file. ! call get_unit ( file_unit ) open ( unit = file_unit, file = file_name, status = 'replace', & iostat = ios ) if ( ios /= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TRIANGULATION_ORDER6_PLOT - Fatal error!' write ( *, '(a)' ) ' Can not open output file.' return end if ! ! Write the header. ! write ( file_unit, '(a)' ) '%!PS-Adobe-3.0 EPSF-3.0' write ( file_unit, '(a)' ) '%%Creator: triangulation_order6_plot.f90' write ( file_unit, '(a)' ) '%%Title: ' // trim ( file_name ) write ( file_unit, '(a)' ) '%%CreationDate: ' // trim ( date_time ) write ( file_unit, '(a)' ) '%%Pages: 1' write ( file_unit, '(a,i3,2x,i3,2x,i3,2x,i3)' ) '%%BoundingBox: ', & x_ps_min, y_ps_min, x_ps_max, y_ps_max write ( file_unit, '(a)' ) '%%Document-Fonts: Times-Roman' write ( file_unit, '(a)' ) '%%LanguageLevel: 1' write ( file_unit, '(a)' ) '%%EndComments' write ( file_unit, '(a)' ) '%%BeginProlog' write ( file_unit, '(a)' ) '/inch {72 mul} def' write ( file_unit, '(a)' ) '%%EndProlog' write ( file_unit, '(a)' ) '%%Page: 1 1' write ( file_unit, '(a)' ) 'save' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB line color to very light gray.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.900 0.900 0.900 setrgbcolor' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Draw a gray border around the page.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) 'newpath' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_min, y_ps_min, ' moveto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_max, y_ps_min, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_max, y_ps_max, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_min, y_ps_max, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', x_ps_min, y_ps_min, ' lineto' write ( file_unit, '(a)' ) 'stroke' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB line color to black.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.000 0.000 0.000 setrgbcolor' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the font and its size.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '/Times-Roman findfont' write ( file_unit, '(a)' ) '0.50 inch scalefont' write ( file_unit, '(a)' ) 'setfont' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Print a title.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% 210 702 moveto' write ( file_unit, '(a)' ) '% (Triangulation) show' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Define a clipping polygon.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) 'newpath' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_min_clip, y_ps_min_clip, ' moveto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_max_clip, y_ps_min_clip, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_max_clip, y_ps_max_clip, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_min_clip, y_ps_max_clip, ' lineto' write ( file_unit, '(a,i3,2x,i3,2x,a)' ) ' ', & x_ps_min_clip, y_ps_min_clip, ' lineto' write ( file_unit, '(a)' ) 'clip newpath' ! ! Draw the nodes. ! if ( node_num <= 200 ) then circle_size = 5 else if ( node_num <= 500 ) then circle_size = 4 else if ( node_num <= 1000 ) then circle_size = 3 else if ( node_num <= 5000 ) then circle_size = 2 else circle_size = 1 end if if ( 1 <= node_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Draw filled dots at the nodes.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to blue.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.000 0.150 0.750 setrgbcolor' write ( file_unit, '(a)' ) '%' do node = 1, node_num x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( file_unit, '(a,i4,2x,i4,2x,i4,2x,a)' ) 'newpath ', x_ps, y_ps, & circle_size, '0 360 arc closepath fill' end do end if ! ! Label the nodes. ! if ( 2 <= node_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Label the nodes:' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to darker blue.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.100 0.250 0.850 setrgbcolor' write ( file_unit, '(a)' ) '/Times-Roman findfont' write ( file_unit, '(a)' ) '0.20 inch scalefont' write ( file_unit, '(a)' ) 'setfont' do node = 1, node_num x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( + node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( string, '(i4)' ) node string = adjustl ( string ) write ( file_unit, '(i4,2x,i4,a)' ) x_ps, y_ps+5, & ' moveto (' // trim ( string ) // ') show' end do end if ! ! Draw the triangles. ! if ( 1 <= triangle_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to red.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.900 0.200 0.100 setrgbcolor' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Draw the triangles.' write ( file_unit, '(a)' ) '%' do triangle = 1, triangle_num write ( file_unit, '(a)' ) 'newpath' node = triangle_node(6,triangle) x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( file_unit, '(i3,2x,i3,2x,a)' ) x_ps, y_ps, ' moveto' do i = 1, 3 node = triangle_node(i,triangle) x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( file_unit, '(i3,2x,i3,2x,a)' ) x_ps, y_ps, ' lineto' node = triangle_node(i+3,triangle) x_ps = int ( & ( ( x_max - node_xy(1,node) ) * real ( x_ps_min, kind = 8 ) & + ( node_xy(1,node) - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - node_xy(2,node) ) * real ( y_ps_min, kind = 8 ) & + ( node_xy(2,node) - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( file_unit, '(i3,2x,i3,2x,a)' ) x_ps, y_ps, ' lineto' end do write ( file_unit, '(a)' ) 'stroke' end do end if ! ! Label the triangles. ! if ( 2 <= triangle_show ) then write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Label the triangles:' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% Set the RGB color to darker red.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '0.950 0.250 0.150 setrgbcolor' write ( file_unit, '(a)' ) '/Times-Roman findfont' write ( file_unit, '(a)' ) '0.20 inch scalefont' write ( file_unit, '(a)' ) 'setfont' do triangle = 1, triangle_num ave_x = 0.0D+00 ave_y = 0.0D+00 do i = 1, 6 node = triangle_node(i,triangle) ave_x = ave_x + node_xy(1,node) ave_y = ave_y + node_xy(2,node) end do ave_x = ave_x / 6.0D+00 ave_y = ave_y / 6.0D+00 x_ps = int ( & ( ( x_max - ave_x ) * real ( x_ps_min, kind = 8 ) & + ( + ave_x - x_min ) * real ( x_ps_max, kind = 8 ) ) & / ( x_max - x_min ) ) y_ps = int ( & ( ( y_max - ave_y ) * real ( y_ps_min, kind = 8 ) & + ( ave_y - y_min ) * real ( y_ps_max, kind = 8 ) ) & / ( y_max - y_min ) ) write ( string, '(i4)' ) triangle string = adjustl ( string ) write ( file_unit, '(i4,2x,i4,a)' ) x_ps, y_ps, ' moveto (' & // trim ( string ) // ') show' end do end if write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) 'restore showpage' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '% End of page.' write ( file_unit, '(a)' ) '%' write ( file_unit, '(a)' ) '%%Trailer' write ( file_unit, '(a)' ) '%%EOF' close ( unit = file_unit ) return end