# encoding: UTF-8
require 'rational'
require 'optparse'
include Math
VERSION=[0,2]
# SVG Equidistant Conic Graticule Generator
#
# Copyright © 2011 Kevin Michael Smith
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see .
DEFAULT_RADIUS=6371
DEFAULT_TILT=23.44
DEFAULT_MINOR_SPACING=5
DEFAULT_MAJOR_SPACING=1
DEFAULT_POLAR_SPACING=1
DEFAULT_POLAR_CUT_OFF=0
DEFAULT_MIN_LATITUDE=-90
DEFAULT_MAX_LATITUDE=90
DEFAULT_MIN_LONGITUDE=-180
DEFAULT_MAX_LONGITUDE=180
options=Hash.new
opts=OptionParser.new do |opts|
opts.banner = "Usage: eqd-conic.rb -l ANGLE [-l ANGLE] [options]"
opts.separator "Projection Parameters:"
opts.on("-l", "--parallel [DEGREES]", Float, "Standard Parallel. Must be given once or twice.") do |v|
options[:std_parallel] ||= []
options[:std_parallel] << v
end
opts.separator "Planet Parameters:"
opts.on("-r", "--radius [KILOMETRES]", Float, "Radius of the planet (Default #{DEFAULT_RADIUS})") do |v|
options[:radius] = v
end
opts.on("-t", "--tilt [DEGREES]", Float, "Axial tilt of the planet. Causes appropriate tropics and polar circles to be added.") do |v|
options[:tilt] = v
end
opts.separator "Graticule Parameters:"
opts.on("-s", "--minor-spacing [DEGREES]", Float, "Spacing of minor graticule lines (Default #{DEFAULT_MINOR_SPACING})") do |v|
options[:minor_spacing] = v
end
opts.on("-S", "--major-spacing [N]", Integer, "Spacing of major graticule lines, in terms of minor lines (Default #{DEFAULT_MAJOR_SPACING})") do |v|
options[:major_spacing] = v
end
opts.on("-p", "--polar-spacing [N]", Integer, "Spacing of graticule lines near the pole, in terms of minor lines (Default #{DEFAULT_POLAR_SPACING})") do |v|
options[:polar_spacing] = v
end
opts.on("-P", "--polar-cut-off [N]", Integer, "Distance from the pole at which spacing is reduced, in terms of minor lines (Default #{DEFAULT_POLAR_CUT_OFF})") do |v|
options[:polar_cut_off] = v
end
opts.on("-a", "--min-latitude [DEGREES]", Float, "Minimum latitude (#{DEFAULT_MIN_LATITUDE})") do |v|
options[:min_latitude] = v
end
opts.on("-A", "--max-latitude [DEGREES]", Float, "Maximum latitude (#{DEFAULT_MAX_LATITUDE})") do |v|
options[:max_latitude] = v
end
opts.on("-o", "--min-longitude [DEGREES]", Float, "Minimum latitude (#{DEFAULT_MIN_LONGITUDE})") do |v|
options[:min_longitude] = v
end
opts.on("-O", "--max-longitude [DEGREES]", Float, "Maximum latitude (#{DEFAULT_MAX_LONGITUDE})") do |v|
options[:max_longitude] = v
end
opts.separator "Common options:"
opts.on_tail("-h", "--help", "Show this message") do
puts opts
exit
end
opts.on_tail("--version", "Show version") do
puts VERSION.join('.')
exit
end
end
def check_angle(angle, range, name)
raise "#{name} is #{angle} but must be in range #{range}." unless range.include? angle or angle.nil?
end
begin
opts.parse!
# raise "Must specify a standard parallel" if options[:std_parallel].nil? or options[:std_parallel].empty?
# raise "May have at most 2 standard parallels" if options[:std_parallel].size>2
raise "May have 2 standard parallels" unless options[:std_parallel].size==2
options[:std_parallel] << options[:std_parallel][0] if options[:std_parallel].size==1
options[:std_parallel].each {|lat| check_angle(lat, -90..90, "Standard parallel")}
lat1 = options[:std_parallel][0]
lat2 = options[:std_parallel][1]
radius = options[:radius] || DEFAULT_RADIUS
check_angle(options[:minor_spacing], 0..90, "Minor spacing")
spacing = options[:minor_spacing] || DEFAULT_MINOR_SPACING
spacing2 = options[:major_spacing] || DEFAULT_MAJOR_SPACING
spacing_pole = options[:polar_spacing] || DEFAULT_POLAR_SPACING
check_angle(options[:polar_spacing], 0..90, "Polar spacing")
lat_pole = options[:polar_spacing] || DEFAULT_POLAR_CUT_OFF
tilt = options[:tilt]
{:min_latitude=>"Minimum latitude",:max_latitude=>"Maximum latitude"}.each_pair { |symb, name| check_angle(options[symb], -90..90, name)}
{:min_longitude=>"Minimum longitude",:max_longitude=>"Maximum longitude"}.each_pair { |symb, name| check_angle(options[symb], -180..180, name)}
min_lat = options[:min_latitude] || DEFAULT_MIN_LATITUDE
max_lat = options[:max_latitude] || DEFAULT_MAX_LATITUDE
min_lon = options[:min_longitude] || DEFAULT_MIN_LONGITUDE
max_lon = options[:max_longitude] || DEFAULT_MAX_LONGITUDE
rescue RuntimeError => e
puts e
puts
puts opts
exit
end
class EquidistantConicProjection
attr_reader :lat1
attr_reader :lat2
attr_reader :cm
attr_reader :radius
attr_reader :layout_angle
attr_reader :slope_angle
def initialize(lat1, lat2, cm, radius)
@lat1, @lat2 = [lat1, lat2].sort!
@cm = cm
@radius = radius
@phi1 = @lat1*PI/180
@phi2 = @lat2*PI/180
@slope_angle = asin((cos(@phi2)-cos(@phi1))/(@phi1-@phi2)) # Angle that the cone meets its axis
@r1 = @radius*(cos(@phi1)/sin(@slope_angle) - (PI/2-@phi1)) # Layout radius from peak to near pole
@s = @radius*PI # Distance along cone between poles
@r2 = @r1+@s # Layout radius from near pole to far pole
@layout_angle = 2*PI*sin(@slope_angle)
end
def lat_radius(lat)
phi = (PI/2)-lat*PI/180
return (phi/PI)*@s+@r1
end
def lon_angle(lon)
lon=(lon-@cm+180)%360-180 if(lon>cm+180 or lonPI)?1:0} 0 #{x2},#{-y2}"
end
projection = EquidistantConicProjection.new(lat1, lat2, 0, 1000)
minor_style="stroke: black; stroke-width:0.25pt; fill:none;"
base_style="stroke: black; stroke-width:0.5pt; fill:none;"
major_style="stroke: black; stroke-width:1pt; fill:none;"
stdp_style="stroke: green; stroke-width:1pt; fill:none;"
tropic_style="stroke: red; stroke-width:1pt; fill:none;"
arctic_style="stroke: blue; stroke-width:1pt; fill:none;"
puts <
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# 11. Patents.
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# A "contributor" is a copyright holder who authorizes use under this
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# 13. Use with the GNU Affero General Public License.
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# be similar in spirit to the present version, but may differ in detail to
# address new problems or concerns.
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# option of following the terms and conditions either of that numbered
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# If the Program specifies that a proxy can decide which future
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# END OF TERMS AND CONDITIONS
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# How to Apply These Terms to Your New Programs
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# If you develop a new program, and you want it to be of the greatest
# possible use to the public, the best way to achieve this is to make it
# free software which everyone can redistribute and change under these terms.
#
# To do so, attach the following notices to the program. It is safest
# to attach them to the start of each source file to most effectively
# state the exclusion of warranty; and each file should have at least
# the "copyright" line and a pointer to where the full notice is found.
#
#
# Copyright (C)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see .
#
# Also add information on how to contact you by electronic and paper mail.
#
# If the program does terminal interaction, make it output a short
# notice like this when it starts in an interactive mode:
#
# Copyright (C)
# This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
# This is free software, and you are welcome to redistribute it
# under certain conditions; type `show c' for details.
#
# The hypothetical commands `show w' and `show c' should show the appropriate
# parts of the General Public License. Of course, your program's commands
# might be different; for a GUI interface, you would use an "about box".
#
# You should also get your employer (if you work as a programmer) or school,
# if any, to sign a "copyright disclaimer" for the program, if necessary.
# For more information on this, and how to apply and follow the GNU GPL, see
# .
#
# The GNU General Public License does not permit incorporating your program
# into proprietary programs. If your program is a subroutine library, you
# may consider it more useful to permit linking proprietary applications with
# the library. If this is what you want to do, use the GNU Lesser General
# Public License instead of this License. But first, please read
# .