# ----------------------------------------------------------------------------- # # Simple mercator projection # # ----------------------------------------------------------------------------- # Copyright 2010 Daniel Azuma # # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions are met: # # * Redistributions of source code must retain the above copyright notice, # this list of conditions and the following disclaimer. # * Redistributions in binary form must reproduce the above copyright notice, # this list of conditions and the following disclaimer in the documentation # and/or other materials provided with the distribution. # * Neither the name of the copyright holder, nor the names of any other # contributors to this software, may be used to endorse or promote products # derived from this software without specific prior written permission. # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" # AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE # IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE # ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE # LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR # CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF # SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS # INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN # CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE # POSSIBILITY OF SUCH DAMAGE. # ----------------------------------------------------------------------------- ; module RGeo module Geography class SimpleMercatorProjector # :nodoc: EQUATORIAL_RADIUS = 6378137.0 def initialize(geography_factory_, opts_={}) @geography_factory = geography_factory_ @projection_factory = Cartesian.preferred_factory(:srid => 3857, :proj4 => '+proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0 +k=1.0 +units=m +nadgrids=@null +wktext +no_defs', :buffer_resolution => opts_[:buffer_resolution], :lenient_multi_polygon_assertions => opts_[:lenient_multi_polygon_assertions], :support_z_coordinate => opts_[:support_z_coordinate], :support_m_coordinate => opts_[:support_m_coordinate]) end def projection_factory @projection_factory end def project(geometry_) case geometry_ when Feature::Point rpd_ = ImplHelper::Math::RADIANS_PER_DEGREE radius_ = EQUATORIAL_RADIUS @projection_factory.point(geometry_.x * rpd_ * radius_, ::Math.log(::Math.tan(::Math::PI / 4.0 + geometry_.y * rpd_ / 2.0)) * radius_) when Feature::Line @projection_factory.line(project(geometry_.start_point), project(geometry_.end_point)) when Feature::LinearRing @projection_factory.linear_ring(geometry_.points.map{ |p_| project(p_) }) when Feature::LineString @projection_factory.line_string(geometry_.points.map{ |p_| project(p_) }) when Feature::Polygon @projection_factory.polygon(project(geometry_.exterior_ring), geometry_.interior_rings.map{ |p_| project(p_) }) when Feature::MultiPoint @projection_factory.multi_point(geometry_.map{ |p_| project(p_) }) when Feature::MultiLineString @projection_factory.multi_line_string(geometry_.map{ |p_| project(p_) }) when Feature::MultiPolygon @projection_factory.multi_polygon(geometry_.map{ |p_| project(p_) }) when Feature::GeometryCollection @projection_factory.collection(geometry_.map{ |p_| project(p_) }) else nil end end def unproject(geometry_) case geometry_ when Feature::Point dpr_ = ImplHelper::Math::DEGREES_PER_RADIAN radius_ = EQUATORIAL_RADIUS @geography_factory.point(geometry_.x / radius_ * dpr_, (2.0 * ::Math.atan(::Math.exp(geometry_.y / radius_)) - ::Math::PI / 2.0) * dpr_) when Feature::Line @geography_factory.line(unproject(geometry_.start_point), unproject(geometry_.end_point)) when Feature::LinearRing @geography_factory.linear_ring(geometry_.points.map{ |p_| unproject(p_) }) when Feature::LineString @geography_factory.line_string(geometry_.points.map{ |p_| unproject(p_) }) when Feature::Polygon @geography_factory.polygon(unproject(geometry_.exterior_ring), geometry_.interior_rings.map{ |p_| unproject(p_) }) when Feature::MultiPoint @geography_factory.multi_point(geometry_.map{ |p_| unproject(p_) }) when Feature::MultiLineString @geography_factory.multi_line_string(geometry_.map{ |p_| unproject(p_) }) when Feature::MultiPolygon @geography_factory.multi_polygon(geometry_.map{ |p_| unproject(p_) }) when Feature::GeometryCollection @geography_factory.collection(geometry_.map{ |p_| unproject(p_) }) else nil end end def wraps? true end def limits_window @limits_window ||= ProjectedWindow.new(@geography_factory, -20037508.342789, -20037508.342789, 20037508.342789, 20037508.342789, :is_limits => true) end end end end