#!/usr/bin/perl -w # NAME: maptile.pl # AIM: Convert a lat long zoom to a tile number # from : http://wiki.openstreetmap.org/wiki/Slippy_map_tilenames # # Directory structure - like # OSM 'standard' style http://[abc].tile.openstreetmap.org/zoom/x/y.png 0-19 # # Zoom Coverage Tiles # 0 1 tile world 1 # 1 2 X 2 4 # 2 4 x 4 16 # n 2^n x 2^n 2^2n # 12 4096 x 4096 16,777,216 # 16 4,294,967,296 = 2^32 # 17 17,179,868,184 # 18 68,719,476,736 # 19 Max. mapnik 274.877.906,944 # X goes from 0 (left edge is 180 deg W) to 2^zoom - 1 (right edge is 180 deg E # Y goes from 0 (top edge is 85.0511 to 2^zoom - 1 (bottom edge is 85.0511 deg S) in a Mercator projection # For the curious, the num 85.0511 is the result of arctan(sinh(Pi)). By using this bound, the entire map # becomes a (very large) square. See also the Osmarender bug. # # 17/02/2014 geoff mclane http://geoffair.net/mperl use strict; use warnings; use File::Basename; # split path ($name,$dir,$ext) = fileparse($file [, qr/\.[^.]*/] ) use Math::Trig; # qw(great_circle_distance great_circle_direction deg2rad rad2deg); ##use POSIX; use POSIX qw/floor/; use Cwd; my $os = $^O; my $perl_dir = '/home/geoff/bin'; my $PATH_SEP = '/'; my $temp_dir = '/tmp'; if ($os =~ /win/i) { $perl_dir = 'C:\GTools\perl'; $temp_dir = $perl_dir; $PATH_SEP = "\\"; } unshift(@INC, $perl_dir); require 'lib_utils.pl' or die "Unable to load 'lib_utils.pl' Check paths in \@INC...\n"; # log file stuff our ($LF); my $pgmname = $0; if ($pgmname =~ /(\\|\/)/) { my @tmpsp = split(/(\\|\/)/,$pgmname); $pgmname = $tmpsp[-1]; } my $outfile = $temp_dir.$PATH_SEP."temp.$pgmname.txt"; open_log($outfile); # user variables my $VERS = "0.0.2 2014-01-13"; my $load_log = 0; my $in_lat = ''; my $in_lon = ''; my $in_zoom = ''; my $verbosity = 0; my $out_file = ''; # ### DEBUG ### my $debug_on = 0; my $def_lat = 37.78756; #//38.7; my $def_lon = -122.0; my $def_zoom = 9; # //11; // hard to choose then best init zoom ### program variables my @warnings = (); my $cwd = cwd(); sub VERB1() { return $verbosity >= 1; } sub VERB2() { return $verbosity >= 2; } sub VERB5() { return $verbosity >= 5; } sub VERB9() { return $verbosity >= 9; } sub show_warnings($) { my ($val) = @_; if (@warnings) { prt( "\nGot ".scalar @warnings." WARNINGS...\n" ); foreach my $itm (@warnings) { prt("$itm\n"); } prt("\n"); } else { prt( "\nNo warnings issued.\n\n" ) if (VERB9()); } } sub pgm_exit($$) { my ($val,$msg) = @_; if (length($msg)) { $msg .= "\n" if (!($msg =~ /\n$/)); prt($msg); } show_warnings($val); close_log($outfile,$load_log); exit($val); } sub prtw($) { my ($tx) = shift; $tx =~ s/\n$//; prt("$tx\n"); push(@warnings,$tx); } sub process_in_file($) { my ($inf) = @_; if (! open INF, "<$inf") { pgm_exit(1,"ERROR: Unable to open file [$inf]\n"); } my @lines = ; close INF; my $lncnt = scalar @lines; prt("Processing $lncnt lines, from [$inf]...\n"); my ($line,$inc,$lnn); $lnn = 0; foreach $line (@lines) { chomp $line; $lnn++; if ($line =~ /\s*#\s*include\s+(.+)$/) { $inc = $1; prt("$lnn: $inc\n"); } } } sub mlog_10 { my $n = shift; return log($n)/log(10); } # from Theo HTML #// The math #// http://wiki.openstreetmap.org/wiki/Slippy_map_tilenames#Tile_servers # function lon2tile( lon, zoom ) { # return Math.floor( ( lon + 180 ) / 360 * pow( 2, zoom ) ); # } # function lat2tile( lat, zoom ) { # return Math.floor(( 1 - Math.log( Math.tan( lat * pi / 180) + 1 / cos( lat * pi / 180)) / pi )/2 * pow(2, zoom) ); # } # function tile2lon( x, z ) { # return ( x / pow( 2, z ) * 360 - 180 ); # } # function tile2lat( y, z ) { # var n = pi - 2 * pi * y / pow( 2, z ); # return 180 / pi * Math.atan( 0.5 * ( Math.exp( n ) - Math.exp( -n ) )); # } sub lat2tilef($$) { my ($lat,$zoom) = @_; my $lat_rad = deg2rad($lat); my $n = 2 ** $zoom; my $ytile = floor((1.0 - mlog_10(tan($lat_rad) + (1 / cos($lat_rad))) / pi) / 2.0 * $n); return $ytile; } sub lon2tilef($$) { my ($lon,$zoom) = @_; my $n = 2 ** $zoom; my $xtile = floor($n * (($lon + 180) / 360)); return $xtile; } # Python # Lon./lat. to tile numbers # import math # def deg2num(lat_deg, lon_deg, zoom): # lat_rad = math.radians(lat_deg) # n = 2.0 ** zoom # xtile = int((lon_deg + 180.0) / 360.0 * n) # ytile = int((1.0 - math.log(math.tan(lat_rad) + (1 / math.cos(lat_rad))) / math.pi) / 2.0 * n) # return (xtile, ytile) sub lat2tile($$) { my ($lat,$zoom) = @_; my $lat_rad = deg2rad($lat); my $n = 2 ** $zoom; my $ytile = int((1.0 - mlog_10(tan($lat_rad) + (1 / cos($lat_rad))) / pi) / 2.0 * $n); return $ytile; } sub lon2tile($$) { my ($lon,$zoom) = @_; my $n = 2 ** $zoom; my $xtile = int($n * (($lon + 180) / 360)); return $xtile; } sub show_mappy() { prt("Converting lat $in_lat, lon $in_lon, zoom = $in_zoom to mappy\n"); my $lat_rad = deg2rad($in_lat); my $n = 2 ** $in_zoom; my $xtile = int($n * (($in_lon + 180) / 360)); my $ytile = int((1.0 - mlog_10(tan($lat_rad) + (1 / cos($lat_rad))) / pi) / 2.0 * $n); my $x = lon2tile($in_lon,$in_zoom); my $y = lat2tile($in_lat,$in_zoom); prt("xtile=$xtile, ytile=$ytile ($x/$y)\n"); } sub test() { my $z = 7; my ($x,$y,$mx,$my,$tx,$ty,$cnt,$cx,$cy); my %xdupes = (); prt("Running test...\n"); #for ($x = 0; $x < 180; $x += 0.1) { # for ($y = 0; $y < 90; $y += 0.1) { my $xmin = 99999999999; my $xmax = -99999999999; for ($x = -179; $x < 180; $x += 0.1) { # for ($y = -89; $y < 90; $y += 0.1) { for ($y = -85; $y < 85; $y += 0.1) { $mx = lon2tile($x,$z); $my = lat2tile($y,$z); $tx = lon2tilef($x,$z); $ty = lat2tilef($y,$z); #if (($mx != $tx)||($my != $ty)) { # prt("lon/lat/zoom $x/$y/$z mx=$mx my=$my tx=$tx ty=$ty\n"); #} if ($mx != $tx) { prt("lon/lat/zoom $x/$y/$z DIFF mx/tx=$mx/$tx\n"); } if ($my != $ty) { prt("lon/lat/zoom $x/$y/$z DIFF my/ty=$my/$ty\n"); } ###prt("lon/lat/zoom $x/$y/$z mx=$mx my=$my\n"); if (!defined $xdupes{$mx}) { $xdupes{$mx} = 1; $cnt++; $cx = sprintf("%.2f",$x); $cy = sprintf("%.2f",$y); prt("lon/lat/zoom $cx/$cy/$z mx=$mx my=$my tx=$tx ty=$ty\n"); } $xmax = $mx if ($mx > $xmax); $xmin = $mx if ($mx < $xmin); } } # at zoom level 19 that is 3591 directories... prt("For zoom level $z, that is $cnt x directories... x min $xmin, max $xmax\n"); $load_log = 1; pgm_exit(0,""); } sub test2() { my $val = sqrt(274877906944); prt("sqrt(274877906944) = $val x $val\n"); my ($z); for ($z = 0; $z < 20; $z++) { $val = 2 ** $z; prt("$z = $val x $val\n"); } exit(1); } test(); ######################################### ### MAIN ### parse_args(@ARGV); #process_in_file($in_lat); show_mappy(); pgm_exit(0,""); ######################################## sub need_arg { my ($arg,@av) = @_; pgm_exit(1,"ERROR: [$arg] must have a following argument!\n") if (!@av); } sub is_a_double($) { my $val = shift; return 1 if ($val =~ /^-?\d+\.?\d*$/); # { print "is a real number\n" } return 1 if ($val =~ /^\d+$/); # { print "is a whole number\n" } return 1 if ($val =~ /^-?\d+$/); # { print "is an integer\n" } return 1 if ($val =~ /^[+-]?\d+$/); # { print "is a +/- integer\n" } return 1 if ($val =~ /^-?(?:\d+(?:\.\d*)?|\.\d+)$/); # { print "is a decimal number\n" } return 1 if ($val =~ /^([+-]?)(?=\d|\.\d)\d*(\.\d*)?([Ee]([+-]?\d+))?$/); # { print "a C float\n" } return 0 if ($val =~ /\D/); # { print "has nondigits\n" } return 0; } sub parse_args { my (@av) = @_; my ($arg,$sarg); my $verb = VERB2(); my $cnt = 0; while (@av) { $arg = $av[0]; if (($arg =~ /^-/)&&(!is_a_double($arg))) { $sarg = substr($arg,1); $sarg = substr($sarg,1) while ($sarg =~ /^-/); if (($sarg =~ /^h/i)||($sarg eq '?')) { give_help(); pgm_exit(0,"Help exit(0)"); } elsif ($sarg =~ /^v/) { if ($sarg =~ /^v.*(\d+)$/) { $verbosity = $1; } else { while ($sarg =~ /^v/) { $verbosity++; $sarg = substr($sarg,1); } } $verb = VERB2(); prt("Verbosity = $verbosity\n") if ($verb); } elsif ($sarg =~ /^l/) { if ($sarg =~ /^ll/) { $load_log = 2; } else { $load_log = 1; } prt("Set to load log at end. ($load_log)\n") if ($verb); } elsif ($sarg =~ /^o/) { need_arg(@av); shift @av; $sarg = $av[0]; $out_file = $sarg; prt("Set out file to [$out_file].\n") if ($verb); } else { pgm_exit(1,"ERROR: Invalid argument [$arg]! Try -?\n"); } } else { if ($cnt == 0) { $in_lat = $arg; prt("Set latitude input to [$in_lat]\n") if ($verb); } elsif ($cnt == 1) { $in_lon = $arg; prt("Set longitude input to [$in_lon]\n") if ($verb); } elsif ($cnt == 2) { $in_zoom = $arg; prt("Set zomm input to [$in_zoom]\n") if ($verb); } else { pgm_exit(1,"What is this? $arg! Already have lat $in_lat, lon $in_lon, zoom = $in_zoom\n"); } $cnt++; } shift @av; } if ($debug_on) { prtw("WARNING: DEBUG is ON!\n"); if (length($in_lat) == 0) { $in_lat = $def_lat; $in_lon = $def_lon; $in_zoom = $def_zoom; prt("Set DEFAULTS lat $in_lat, lon $in_lon, zoom = $in_zoom\n"); } } if (length($in_lat) == 0) { pgm_exit(1,"ERROR: No latitude found in command!\n"); } if (length($in_lon) == 0) { pgm_exit(1,"ERROR: No longitude found in command!\n"); } if (length($in_zoom) == 0) { pgm_exit(1,"ERROR: No zoom found in command!\n"); } } sub give_help { prt("$pgmname: version $VERS\n"); prt("Usage: $pgmname [options] latitude longitude zoom\n"); prt("Options:\n"); prt(" --help (-h or -?) = This help, and exit 0.\n"); prt(" --verb[n] (-v) = Bump [or set] verbosity. def=$verbosity\n"); prt(" --load (-l) = Load LOG at end. ($outfile)\n"); prt(" --out (-o) = Write output to this file.\n"); } # eof - template.pl