ADD: new track message, Entity class and Position class
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Henry Winkel
230
libs/geographiclib/cgi-bin/Planimeter.cgi
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230
libs/geographiclib/cgi-bin/Planimeter.cgi
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#! /bin/sh
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#
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# Planimeter.cgi
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# cgi script for measuring the area of geodesic polygons
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#
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# Copyright (c) Charles Karney (2011-2022) <charles@karney.com> and
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# licensed under the MIT/X11 License. For more information, see
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# https://geographiclib.sourceforge.io/
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. ./utils.sh
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OPTION=`lookupkey "$QUERY_STRING" option`
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if test "$OPTION" = Reset; then
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INPUT=
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else
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INPUT=`lookupcheckkey "$QUERY_STRING" input`
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NORM=`lookupkey "$QUERY_STRING" norm`
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TYPE=`lookupkey "$QUERY_STRING" type`
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RHUMB=`lookupkey "$QUERY_STRING" rhumb`
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fi
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env > /tmp/env
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INPUTENC=`encodevalue "$INPUT"`
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if test "$TYPE" = "polyline"; then
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LINEFLAG=-l
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else
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LINEFLAG=
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fi
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if test "$RHUMB" = "rhumb"; then
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RHUMBFLAG=-R
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else
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RHUMBFLAG=
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fi
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EXECDIR=../bin
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# Don't add -E flag since this utility only treats the WGS84 ellipsoid
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COMMAND="Planimeter"
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VERSION=`$EXECDIR/$COMMAND --version | cut -f4 -d" "`
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STATUS=
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NUM=
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LEN=
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AREA=
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if test "$INPUT"; then
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STATUS=`echo "$INPUT" | head -1 | $EXECDIR/GeoConvert`
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if test $? -eq 0; then
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STATUS=OK
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OUTPUT=`echo "$INPUT" | $EXECDIR/$COMMAND $LINEFLAG $RHUMBFLAG |
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head -1`
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NUM="`echo $OUTPUT | cut -f1 -d' '`"
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LEN="`echo $OUTPUT | cut -f2 -d' '`"
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AREA="`echo $OUTPUT | cut -f3 -d' '`"
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if test "$NORM"; then
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TRANSFORMEDINPUT=`echo "$INPUT" | $EXECDIR/GeoConvert -p 20 |
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sed '/^ERROR/,$d'`
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INPUTENC=`encodevalue "$TRANSFORMEDINPUT"`
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fi
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fi
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# echo `date +"%F %T"` "$COMMAND: $INPUT" >> ../persistent/utilities.log
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fi
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echo Content-type: text/html
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echo
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cat <<EOF
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<html>
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<head>
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<title>
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Online geodesic planimeter
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</title>
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<meta name="description" content="Online geodesic planimeter" />
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<meta name="author" content="Charles F. F. Karney" />
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<meta name="keywords"
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content="geodesics,
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geodesic distance,
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geodesic area,
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geographic distance,
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geographic area,
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geodesic polygon,
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shortest path,
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spheroidal triangle,
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latitude and longitude,
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rhumb lines,
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online calculator,
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WGS84 ellipsoid,
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GeographicLib" />
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</head>
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<body>
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<h3>
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Online geodesic polygon calculations using the
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<a href="https://geographiclib.sourceforge.io/C++/doc/Planimeter.1.html">
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Planimeter</a> utility
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</h3>
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<form action="/cgi-bin/Planimeter" method="get">
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<p>
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<table>
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<tr>
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<td>
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Closed/open:
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</td>
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<td> <label for="c">
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<input type="radio" name="type" value="polygon" id="c"
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`test "$LINEFLAG" || echo CHECKED`>
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Polygon</label>
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</td>
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<td> <label for="o">
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<input type="radio" name="type" value="polyline" id="o"
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`test "$LINEFLAG" && echo CHECKED`>
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Polyline</label>
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</td>
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</tr>
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<tr>
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<td>
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Edge type:
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</td>
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<td> <label for="g">
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<input type="radio" name="rhumb" value="geodesic" id="g"
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`test "$RHUMBFLAG" || echo CHECKED`>
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Geodesic</label>
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</td>
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<td> <label for="r">
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<input type="radio" name="rhumb" value="rhumb" id="r"
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`test "$RHUMBFLAG" && echo CHECKED`>
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Rhumb line</label>
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</td>
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</tr>
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</table>
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</p>
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<p>
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Enter the vertices as latitude longitude pairs, one per line:
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<br>
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<textarea cols=45 rows=15 name="input">$INPUTENC</textarea>
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</p>
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<p>
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<input type="checkbox" name="norm" value="decdegrees"
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`test "$NORM" && echo CHECKED` />
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Convert vertices to decimal degrees
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</p>
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<p>
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Select action:<br>
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<input type="submit" name="option" value="Submit">
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<input type="submit" name="option" value="Reset">
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</p>
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<p>
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Results:<br>
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<font size="4"><pre>
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STATUS = $STATUS
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number of vertices = $NUM
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Perimeter (m) = $LEN
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area (m^2) = $AREA</pre></font>
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</p>
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</form>
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<hr>
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<p>
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In polygon mode,
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<a href="https://geographiclib.sourceforge.io/C++/doc/Planimeter.1.html">
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Planimeter (version $VERSION)</a>
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calculates the perimeter and area of a polygon whose edges are
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either geodesics or rhumb lines on the WGS84 ellipsoid.
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</p>
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<p>
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The edges of the polygon are given by the <i>shortest</i> geodesic
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or rhumb line between consecutive vertices. In certain cases,
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there may be two or many such shortest paths, and in that case,
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the polygon is not uniquely specified by its vertices. In such
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cases, insert an additional vertex near the middle of the long
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edge to define the boundary of the polygon.
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</p>
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<p>
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Counter-clockwise traversal of a polygon results in a positive
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area. Arbitrarily complex polygons are allowed. In the case of
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self-intersecting polygons the area is accumulated
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"algebraically", i.e., the areas of the 2 loops in a figure-8
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polygon will partially cancel. There is no need to close the
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polygon. Polygons may include one or both poles. In polyline
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mode,
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<a href="https://geographiclib.sourceforge.io/C++/doc/Planimeter.1.html">
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Planimeter</a>
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calculates the length of the geodesic path joining the points.
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</p>
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<p>
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Give the vertices in terms of latitude and longitude, for example
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(these all refer to the position of Timbuktu):
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<pre>
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16.776 -3.009
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16d47' -3d1'
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W3°0'34" N16°46'33"
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3:0:34W 16:46:33N</pre>
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A blank line or a coordinate which cannot be understood
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causes the reading of vertices to be stopped.
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</p>
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<p>
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For moderately complex polygons, the perimeter is accurate to
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about 200 nm and the area is accurate to about
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0.1 m<sup>2</sup>.
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</p>
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<p>
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<a href="https://geographiclib.sourceforge.io/C++/doc/Planimeter.1.html">
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Planimeter</a>,
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which is a simple wrapper of the
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<a href="https://geographiclib.sourceforge.io/C++/doc/classGeographicLib_1_1PolygonAreaT.html">
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GeographicLib::PolygonAreaT</a> class,
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is one of the utilities provided
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with <a href="https://geographiclib.sourceforge.io/">
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GeographicLib</a>.
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Geodesic areas can also be computed using JavaScript; see the
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<a href="../scripts/geod-calc.html">JavaScript geodesic
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calculator</a>.
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If you wish to use Planimeter directly,
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<a href="https://sourceforge.net/projects/geographiclib/files/distrib-C++">
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download</a>
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and compile GeographicLib. The algorithms are described
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in C. F. F. Karney,
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<a href="https://doi.org/10.1007/s00190-012-0578-z"><i>Algorithms for
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geodesics</i></a>,
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J. Geodesy <b>87</b>, 43–55 (2013); DOI:
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<a href="https://doi.org/10.1007/s00190-012-0578-z">
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10.1007/s00190-012-0578-z</a>;
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addenda:
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<a href="https://geographiclib.sourceforge.io/geod-addenda.html">
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geod-addenda.html</a>.
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</p>
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<hr>
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<address>Charles Karney
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<a href="mailto:charles@karney.com"><charles@karney.com></a>
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(2022-04-10)</address>
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<a href="https://geographiclib.sourceforge.io">
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GeographicLib home
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</a>
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</body>
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</html>
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EOF
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