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<html><head><title>Python: module skeinforge_tools.skeinforge_utilities.euclideanb</title>
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<font color="#ffffff" face="helvetica, arial"> <br><big><big><strong><a href="skeinforge_tools.html"><font color="#ffffff">skeinforge_tools</font></a>.<a href="skeinforge_tools.skeinforge_utilities.html"><font color="#ffffff">skeinforge_utilities</font></a>.euclideanb</strong></big></big> ($Date: 2008/21/04 $)</font></td
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><font color="#ffffff" face="helvetica, arial"><a href=".">index</a><br><a href="file:/home/enrique/Desktop/backup/babbleold/script/reprap/pyRepRap/skeinforge_tools/skeinforge_utilities/euclideanb.pyc">/home/enrique/Desktop/backup/babbleold/script/reprap/pyRepRap/skeinforge_tools/skeinforge_utilities/euclideanb.pyc</a></font></td></tr></table>
<p><tt>Euclidean is a collection of python utilities for complex numbers, paths, polygons & Vector3s.<br>
<br>
To use euclidean, install python 2.x on your machine, which is avaliable from <a href="http://www.python.org/download/">http://www.python.org/download/</a><br>
<br>
Then in the folder which euclidean is in, type 'python' in a shell to run the python interpreter. Finally type<br>
'import euclidean' to import these utilities and 'from vector3 import Vector3' to import the Vector3 class.<br>
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<br>
Below are examples of euclidean use.<br>
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>>> from euclidean import *<br>
>>> origin=complex()<br>
>>> right=complex(1.0,0.0)<br>
>>> back=complex(0.0,1.0)<br>
>>> <a href="#-getMaximum">getMaximum</a>(right,back)<br>
1.0, 1.0<br>
>>> polygon=[origin, right, back]<br>
>>> <a href="#-getPolygonLength">getPolygonLength</a>(polygon)<br>
3.4142135623730949<br>
>>> <a href="#-getPolygonArea">getPolygonArea</a>(polygon)<br>
0.5</tt></p>
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<font color="#fffff" face="helvetica, arial"><big><strong>Modules</strong></big></font></td></tr>
<tr><td bgcolor="#aa55cc"><tt> </tt></td><td> </td>
<td width="100%"><table width="100%" summary="list"><tr><td width="25%" valign=top><a href="__init__.html">__init__</a><br>
</td><td width="25%" valign=top><a href="math.html">math</a><br>
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<font color="#ffffff" face="helvetica, arial"><big><strong>Classes</strong></big></font></td></tr>
<tr><td bgcolor="#ee77aa"><tt> </tt></td><td> </td>
<td width="100%"><dl>
<dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#DistanceIndex">DistanceIndex</a>
</font></dt><dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#Endpoint">Endpoint</a>
</font></dt><dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#LoopLayer">LoopLayer</a>
</font></dt><dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#PathZ">PathZ</a>
</font></dt><dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#RotatedLoopLayer">RotatedLoopLayer</a>
</font></dt><dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#SurroundingLoop">SurroundingLoop</a>
</font></dt><dt><font face="helvetica, arial"><a href="skeinforge_tools.skeinforge_utilities.euclideanb.html#XIntersectionIndex">XIntersectionIndex</a>
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<font color="#000000" face="helvetica, arial"><a name="DistanceIndex">class <strong>DistanceIndex</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>A class to hold the distance and the index of the loop.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="DistanceIndex-__init__"><strong>__init__</strong></a>(self, distance, index)</dt></dl>
<dl><dt><a name="DistanceIndex-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this distance index.</tt></dd></dl>
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<font color="#000000" face="helvetica, arial"><a name="Endpoint">class <strong>Endpoint</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>The endpoint of a segment.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="Endpoint-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this <a href="#Endpoint">Endpoint</a>.</tt></dd></dl>
<dl><dt><a name="Endpoint-getFromOtherPoint"><strong>getFromOtherPoint</strong></a>(self, otherEndpoint, point)</dt><dd><tt>Initialize from other endpoint.</tt></dd></dl>
<dl><dt><a name="Endpoint-getHop"><strong>getHop</strong></a>(self, fillInset, path)</dt><dd><tt>Get a hop away from the endpoint if the other endpoint is doubling back.</tt></dd></dl>
<dl><dt><a name="Endpoint-getNearestEndpoint"><strong>getNearestEndpoint</strong></a>(self, endpoints)</dt><dd><tt>Get nearest endpoint.</tt></dd></dl>
<dl><dt><a name="Endpoint-getNearestMiss"><strong>getNearestMiss</strong></a>(self, endpoints, path, pixelTable, width)</dt><dd><tt>Get the nearest endpoint which the segment to that endpoint misses the other extrusions.</tt></dd></dl>
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<font color="#000000" face="helvetica, arial"><a name="LoopLayer">class <strong>LoopLayer</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>Loops with a z.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="LoopLayer-__init__"><strong>__init__</strong></a>(self, z)</dt></dl>
<dl><dt><a name="LoopLayer-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this loop layer.</tt></dd></dl>
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<font color="#000000" face="helvetica, arial"><a name="PathZ">class <strong>PathZ</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>Complex path with a z.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="PathZ-__init__"><strong>__init__</strong></a>(self, z)</dt></dl>
<dl><dt><a name="PathZ-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this path z.</tt></dd></dl>
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<font color="#000000" face="helvetica, arial"><a name="RotatedLoopLayer">class <strong>RotatedLoopLayer</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>A rotated layer.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="RotatedLoopLayer-__init__"><strong>__init__</strong></a>(self, z)</dt></dl>
<dl><dt><a name="RotatedLoopLayer-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this rotated loop layer.</tt></dd></dl>
<dl><dt><a name="RotatedLoopLayer-getCopyAtZ"><strong>getCopyAtZ</strong></a>(self, z)</dt><dd><tt>Get a raised copy.</tt></dd></dl>
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<font color="#000000" face="helvetica, arial"><a name="SurroundingLoop">class <strong>SurroundingLoop</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>A loop that surrounds paths.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="SurroundingLoop-__init__"><strong>__init__</strong></a>(self, threadSequence)</dt></dl>
<dl><dt><a name="SurroundingLoop-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this surrounding loop.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-addPerimeterInner"><strong>addPerimeterInner</strong></a>(self, oldOrderedLocation, skein)</dt><dd><tt>Add to the perimeter and the inner island.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-addToBoundary"><strong>addToBoundary</strong></a>(self, vector3)</dt><dd><tt>Add vector3 to boundary.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-addToLoop"><strong>addToLoop</strong></a>(self, vector3)</dt><dd><tt>Add vector3 to loop.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-addToThreads"><strong>addToThreads</strong></a>(self, oldOrderedLocation, skein)</dt><dd><tt>Add to paths from the last location. perimeter>inner >fill>paths or fill> perimeter>inner >paths</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-getFillLoops"><strong>getFillLoops</strong></a>(self)</dt><dd><tt>Get last fill loops from the outside loop and the loops inside the inside loops.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-getFromInsideSurroundings"><strong>getFromInsideSurroundings</strong></a>(self, inputSurroundingInsides, perimeterWidth)</dt><dd><tt>Initialize from inside surrounding loops.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-getLoopsToBeFilled"><strong>getLoopsToBeFilled</strong></a>(self)</dt><dd><tt>Get last fill loops from the outside loop and the loops inside the inside loops.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-transferClosestFillLoops"><strong>transferClosestFillLoops</strong></a>(self, oldOrderedLocation, skein)</dt><dd><tt>Transfer closest fill loops.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-transferInfillPaths"><strong>transferInfillPaths</strong></a>(self, oldOrderedLocation, skein)</dt><dd><tt>Transfer the infill paths.</tt></dd></dl>
<dl><dt><a name="SurroundingLoop-transferPaths"><strong>transferPaths</strong></a>(self, paths)</dt><dd><tt>Transfer paths.</tt></dd></dl>
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<font color="#000000" face="helvetica, arial"><a name="XIntersectionIndex">class <strong>XIntersectionIndex</strong></a></font></td></tr>
<tr bgcolor="#ffc8d8"><td rowspan=2><tt> </tt></td>
<td colspan=2><tt>A class to hold the x intersection position and the index of the loop which intersected.<br> </tt></td></tr>
<tr><td> </td>
<td width="100%">Methods defined here:<br>
<dl><dt><a name="XIntersectionIndex-__cmp__"><strong>__cmp__</strong></a>(self, other)</dt><dd><tt>Get comparison in order to sort x intersections in ascending order of x.</tt></dd></dl>
<dl><dt><a name="XIntersectionIndex-__init__"><strong>__init__</strong></a>(self, index, x)</dt></dl>
<dl><dt><a name="XIntersectionIndex-__repr__"><strong>__repr__</strong></a>(self)</dt><dd><tt>Get the string representation of this x intersection.</tt></dd></dl>
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<font color="#ffffff" face="helvetica, arial"><big><strong>Functions</strong></big></font></td></tr>
<tr><td bgcolor="#eeaa77"><tt> </tt></td><td> </td>
<td width="100%"><dl><dt><a name="-addCircleToPixelTable"><strong>addCircleToPixelTable</strong></a>(pixelTable, pointComplex)</dt><dd><tt>Add pixel to the pixel table.</tt></dd></dl>
<dl><dt><a name="-addElementToPixelList"><strong>addElementToPixelList</strong></a>(element, pixelTable, x, y)</dt><dd><tt>Add an element to the pixel list.</tt></dd></dl>
<dl><dt><a name="-addLoopToPixelTable"><strong>addLoopToPixelTable</strong></a>(loop, pixelTable, width)</dt><dd><tt>Add loop to the pixel table.</tt></dd></dl>
<dl><dt><a name="-addPathToPixelTable"><strong>addPathToPixelTable</strong></a>(path, pixelTable, width)</dt><dd><tt>Add path to the pixel table.</tt></dd></dl>
<dl><dt><a name="-addPixelToPixelTable"><strong>addPixelToPixelTable</strong></a>(pixelTable, value, x, y)</dt><dd><tt>Add pixel to the pixel table.</tt></dd></dl>
<dl><dt><a name="-addPixelToPixelTableWithSteepness"><strong>addPixelToPixelTableWithSteepness</strong></a>(isSteep, pixelTable, x, y)</dt><dd><tt>Add pixels to the pixel table with steepness.</tt></dd></dl>
<dl><dt><a name="-addPointToPath"><strong>addPointToPath</strong></a>(path, pixelTable, point, width)</dt><dd><tt>Add a point to a path and the pixel table.</tt></dd></dl>
<dl><dt><a name="-addSegmentToPixelTable"><strong>addSegmentToPixelTable</strong></a>(beginComplex, endComplex, pixelTable, shortenDistanceBegin, shortenDistanceEnd, width)</dt><dd><tt>Add line segment to the pixel table.</tt></dd></dl>
<dl><dt><a name="-addSurroundingLoopBeginning"><strong>addSurroundingLoopBeginning</strong></a>(loop, skein, z)</dt><dd><tt>Add surrounding loop beginning to gcode output.</tt></dd></dl>
<dl><dt><a name="-addToThreadsFromLoop"><strong>addToThreadsFromLoop</strong></a>(extrusionHalfWidth, gcodeType, loop, oldOrderedLocation, skein)</dt><dd><tt>Add to threads from the last location from loop.</tt></dd></dl>
<dl><dt><a name="-addToThreadsRemoveFromSurroundings"><strong>addToThreadsRemoveFromSurroundings</strong></a>(oldOrderedLocation, surroundingLoops, skein)</dt><dd><tt>Add to threads from the last location from surrounding loops.</tt></dd></dl>
<dl><dt><a name="-addXIntersectionIndexes"><strong>addXIntersectionIndexes</strong></a>(loop, solidIndex, xIntersectionIndexList, y)</dt><dd><tt>Add the x intersection indexes for a loop.</tt></dd></dl>
<dl><dt><a name="-addXIntersectionIndexesFromLoopLists"><strong>addXIntersectionIndexesFromLoopLists</strong></a>(loopLists, xIntersectionIndexList, y)</dt><dd><tt>Add the x intersection indexes for the loop lists.</tt></dd></dl>
<dl><dt><a name="-addXIntersectionIndexesFromLoops"><strong>addXIntersectionIndexesFromLoops</strong></a>(loops, solidIndex, xIntersectionIndexList, y)</dt><dd><tt>Add the x intersection indexes for the loops.</tt></dd></dl>
<dl><dt><a name="-addXIntersections"><strong>addXIntersections</strong></a>(loop, xIntersections, y)</dt><dd><tt>Add the x intersections for a loop.</tt></dd></dl>
<dl><dt><a name="-addXIntersectionsFromLoops"><strong>addXIntersectionsFromLoops</strong></a>(loops, xIntersections, y)</dt><dd><tt>Add the x intersections for the loops.</tt></dd></dl>
<dl><dt><a name="-compareSegmentLength"><strong>compareSegmentLength</strong></a>(endpoint, otherEndpoint)</dt><dd><tt>Get comparison in order to sort endpoints in ascending order of segment length.</tt></dd></dl>
<dl><dt><a name="-getAngleAroundZAxisDifference"><strong>getAngleAroundZAxisDifference</strong></a>(subtractFromVec3, subtractVec3)</dt><dd><tt>Get the angle around the Z axis difference between a pair of Vector3s.<br>
<br>
Keyword arguments:<br>
subtractFromVec3 -- Vector3 whose angle will be subtracted from<br>
subtractVec3 -- Vector3 whose angle will be subtracted</tt></dd></dl>
<dl><dt><a name="-getAroundLoop"><strong>getAroundLoop</strong></a>(begin, end, loop)</dt><dd><tt>Get an arc around a loop.</tt></dd></dl>
<dl><dt><a name="-getAwayPoints"><strong>getAwayPoints</strong></a>(pointComplexes, radius)</dt><dd><tt>Get a path with only the points that are far enough away from each other.</tt></dd></dl>
<dl><dt><a name="-getBackOfLoops"><strong>getBackOfLoops</strong></a>(loops)</dt><dd><tt>Get the back of the loops.</tt></dd></dl>
<dl><dt><a name="-getClippedAtEndLoopPath"><strong>getClippedAtEndLoopPath</strong></a>(clip, loopPath)</dt><dd><tt>Get a clipped loop path.</tt></dd></dl>
<dl><dt><a name="-getClippedLoopPath"><strong>getClippedLoopPath</strong></a>(clip, loopPath)</dt><dd><tt>Get a clipped loop path.</tt></dd></dl>
<dl><dt><a name="-getCrossProduct"><strong>getCrossProduct</strong></a>(firstComplex, secondComplex)</dt><dd><tt>Get z component cross product of a pair of complexes.</tt></dd></dl>
<dl><dt><a name="-getDistanceToPlaneSegment"><strong>getDistanceToPlaneSegment</strong></a>(segmentBegin, segmentEnd, point)</dt><dd><tt>Get the distance squared from a point to the x & y components of a segment.</tt></dd></dl>
<dl><dt><a name="-getDotProduct"><strong>getDotProduct</strong></a>(firstComplex, secondComplex)</dt><dd><tt>Get the dot product of a pair of complexes.</tt></dd></dl>
<dl><dt><a name="-getDotProductPlusOne"><strong>getDotProductPlusOne</strong></a>(firstComplex, secondComplex)</dt><dd><tt>Get the dot product plus one of the x and y components of a pair of Vector3s.</tt></dd></dl>
<dl><dt><a name="-getFillOfSurroundings"><strong>getFillOfSurroundings</strong></a>(surroundingLoops)</dt><dd><tt>Get extra fill loops of surrounding loops.</tt></dd></dl>
<dl><dt><a name="-getFloatPart"><strong>getFloatPart</strong></a>(number)</dt><dd><tt>Get the float part of the number.</tt></dd></dl>
<dl><dt><a name="-getFourSignificantFigures"><strong>getFourSignificantFigures</strong></a>(number)</dt><dd><tt>Get number rounded to four significant figures as a string.</tt></dd></dl>
<dl><dt><a name="-getFrontOfLoops"><strong>getFrontOfLoops</strong></a>(loops)</dt><dd><tt>Get the front of the loops.</tt></dd></dl>
<dl><dt><a name="-getHalfSimplifiedLoop"><strong>getHalfSimplifiedLoop</strong></a>(loopComplex, radius, remainder)</dt><dd><tt>Get the loop with half of the points inside the channel removed.</tt></dd></dl>
<dl><dt><a name="-getHalfSimplifiedPath"><strong>getHalfSimplifiedPath</strong></a>(path, radius, remainder)</dt><dd><tt>Get the path with half of the points inside the channel removed.</tt></dd></dl>
<dl><dt><a name="-getInsidesAddToOutsides"><strong>getInsidesAddToOutsides</strong></a>(loops, outsides)</dt><dd><tt>Add loops to either the insides or outsides.</tt></dd></dl>
<dl><dt><a name="-getIntermediateLocation"><strong>getIntermediateLocation</strong></a>(alongWay, begin, end)</dt><dd><tt>Get the intermediate location between begin and end.</tt></dd></dl>
<dl><dt><a name="-getLargestLoop"><strong>getLargestLoop</strong></a>(loops)</dt><dd><tt>Get largest loop from loops.</tt></dd></dl>
<dl><dt><a name="-getLeftPoint"><strong>getLeftPoint</strong></a>(pointComplexes)</dt><dd><tt>Get the leftmost complex point in the points.</tt></dd></dl>
<dl><dt><a name="-getLoopStartingNearest"><strong>getLoopStartingNearest</strong></a>(extrusionHalfWidth, location, loop)</dt><dd><tt>Add to threads from the last location from loop.</tt></dd></dl>
<dl><dt><a name="-getMaximum"><strong>getMaximum</strong></a>(firstComplex, secondComplex)</dt><dd><tt>Get a complex with each component the maximum of the respective components of a pair of complexes.</tt></dd></dl>
<dl><dt><a name="-getMaximumFromPoints"><strong>getMaximumFromPoints</strong></a>(pointComplexes)</dt><dd><tt>Get a complex with each component the maximum of the respective components of a list of complex points.</tt></dd></dl>
<dl><dt><a name="-getMaximumSpan"><strong>getMaximumSpan</strong></a>(loop)</dt><dd><tt>Get the maximum span of the loop.</tt></dd></dl>
<dl><dt><a name="-getMinimum"><strong>getMinimum</strong></a>(firstComplex, secondComplex)</dt><dd><tt>Get a complex with each component the minimum of the respective components of a pair of complexes.</tt></dd></dl>
<dl><dt><a name="-getMinimumFromPoints"><strong>getMinimumFromPoints</strong></a>(pointComplexes)</dt><dd><tt>Get a complex with each component the minimum of the respective components of a list of complex points.</tt></dd></dl>
<dl><dt><a name="-getMinimumFromVec3List"><strong>getMinimumFromVec3List</strong></a>(vec3List)</dt><dd><tt>Get a complex with each component the minimum of the respective components of a list of Vector3s.</tt></dd></dl>
<dl><dt><a name="-getNearestDistanceIndex"><strong>getNearestDistanceIndex</strong></a>(point, loop)</dt><dd><tt>Get the distance squared to the nearest segment of the loop and index of that segment.</tt></dd></dl>
<dl><dt><a name="-getNearestPointOnSegment"><strong>getNearestPointOnSegment</strong></a>(segmentBegin, segmentEnd, point)</dt><dd><tt>Get the nearest point on the segment.</tt></dd></dl>
<dl><dt><a name="-getNormalized"><strong>getNormalized</strong></a>(complexNumber)</dt><dd><tt>Get the normalized complex.</tt></dd></dl>
<dl><dt><a name="-getNumberOfIntersectionsToLeft"><strong>getNumberOfIntersectionsToLeft</strong></a>(loopComplex, pointComplex)</dt><dd><tt>Get the number of intersections through the loop for the line starting from the left point and going left.</tt></dd></dl>
<dl><dt><a name="-getOrderedSurroundingLoops"><strong>getOrderedSurroundingLoops</strong></a>(perimeterWidth, surroundingLoops)</dt><dd><tt>Get ordered surrounding loops from surrounding loops.</tt></dd></dl>
<dl><dt><a name="-getPathLength"><strong>getPathLength</strong></a>(path)</dt><dd><tt>Get the length of a path ( an open polyline ).</tt></dd></dl>
<dl><dt><a name="-getPathsFromEndpoints"><strong>getPathsFromEndpoints</strong></a>(endpoints, fillInset, pixelTable, width)</dt><dd><tt>Get paths from endpoints.</tt></dd></dl>
<dl><dt><a name="-getPlaneDot"><strong>getPlaneDot</strong></a>(vec3First, vec3Second)</dt><dd><tt>Get the dot product of the x and y components of a pair of Vector3s.</tt></dd></dl>
<dl><dt><a name="-getPointMaximum"><strong>getPointMaximum</strong></a>(firstPoint, secondPoint)</dt><dd><tt>Get a point with each component the maximum of the respective components of a pair of Vector3s.</tt></dd></dl>
<dl><dt><a name="-getPointMinimum"><strong>getPointMinimum</strong></a>(firstPoint, secondPoint)</dt><dd><tt>Get a point with each component the minimum of the respective components of a pair of Vector3s.</tt></dd></dl>
<dl><dt><a name="-getPointPlusSegmentWithLength"><strong>getPointPlusSegmentWithLength</strong></a>(length, point, segment)</dt><dd><tt>Get point plus a segment scaled to a given length.</tt></dd></dl>
<dl><dt><a name="-getPointsRoundZAxis"><strong>getPointsRoundZAxis</strong></a>(planeAngle, points)</dt><dd><tt>Get points rotated by the plane angle</tt></dd></dl>
<dl><dt><a name="-getPolar"><strong>getPolar</strong></a>(angle, radius<font color="#909090">=1.0</font>)</dt><dd><tt>Get polar complex from counterclockwise angle from 1, 0 and radius.</tt></dd></dl>
<dl><dt><a name="-getPolygonArea"><strong>getPolygonArea</strong></a>(polygonComplex)</dt><dd><tt>Get the area of a complex polygon.</tt></dd></dl>
<dl><dt><a name="-getPolygonLength"><strong>getPolygonLength</strong></a>(polygon)</dt><dd><tt>Get the length of a polygon perimeter.</tt></dd></dl>
<dl><dt><a name="-getReverseFloatPart"><strong>getReverseFloatPart</strong></a>(number)</dt><dd><tt>Get the reverse float part of the number.</tt></dd></dl>
<dl><dt><a name="-getRotatedWiddershinsQuarterAroundZAxis"><strong>getRotatedWiddershinsQuarterAroundZAxis</strong></a>(vector3)</dt><dd><tt>Get Vector3 rotated a quarter widdershins turn around Z axis.</tt></dd></dl>
<dl><dt><a name="-getRoundZAxisByPlaneAngle"><strong>getRoundZAxisByPlaneAngle</strong></a>(planeAngle, vector3)</dt><dd><tt>Get Vector3 rotated by a plane angle.</tt></dd></dl>
<dl><dt><a name="-getRoundedPoint"><strong>getRoundedPoint</strong></a>(point)</dt><dd><tt>Get point with each component rounded.</tt></dd></dl>
<dl><dt><a name="-getRoundedToDecimalPlaces"><strong>getRoundedToDecimalPlaces</strong></a>(decimalPlaces, number)</dt><dd><tt>Get number rounded to a number of decimal places.</tt></dd></dl>
<dl><dt><a name="-getRoundedToDecimalPlacesString"><strong>getRoundedToDecimalPlacesString</strong></a>(decimalPlaces, number)</dt><dd><tt>Get number rounded to a number of decimal places as a string.</tt></dd></dl>
<dl><dt><a name="-getRoundedToThreePlaces"><strong>getRoundedToThreePlaces</strong></a>(number)</dt><dd><tt>Get number rounded to three places as a string.</tt></dd></dl>
<dl><dt><a name="-getSegmentFromPoints"><strong>getSegmentFromPoints</strong></a>(begin, end)</dt><dd><tt>Get endpoint segment from a pair of points.</tt></dd></dl>
<dl><dt><a name="-getSegmentsFromXIntersectionIndexes"><strong>getSegmentsFromXIntersectionIndexes</strong></a>(xIntersectionIndexList, y)</dt><dd><tt>Get endpoint segments from the x intersection indexes.</tt></dd></dl>
<dl><dt><a name="-getSegmentsFromXIntersections"><strong>getSegmentsFromXIntersections</strong></a>(xIntersections, y)</dt><dd><tt>Get endpoint segments from the x intersections.</tt></dd></dl>
<dl><dt><a name="-getSimplifiedLoop"><strong>getSimplifiedLoop</strong></a>(loopComplex, radius)</dt><dd><tt>Get loop with points inside the channel removed.</tt></dd></dl>
<dl><dt><a name="-getSimplifiedPath"><strong>getSimplifiedPath</strong></a>(path, radius)</dt><dd><tt>Get path with points inside the channel removed.</tt></dd></dl>
<dl><dt><a name="-getSquareLoop"><strong>getSquareLoop</strong></a>(beginComplex, endComplex)</dt><dd><tt>Get a square loop from the beginning to the end and back.</tt></dd></dl>
<dl><dt><a name="-getSquareValues"><strong>getSquareValues</strong></a>(pixelTable, x, y)</dt><dd><tt>Get a list of the values in a square around the x and y pixel coordinates.</tt></dd></dl>
<dl><dt><a name="-getStepKey"><strong>getStepKey</strong></a>(x, y)</dt><dd><tt>Get step key for x and y.</tt></dd></dl>
<dl><dt><a name="-getThreeSignificantFigures"><strong>getThreeSignificantFigures</strong></a>(number)</dt><dd><tt>Get number rounded to three significant figures as a string.</tt></dd></dl>
<dl><dt><a name="-getTransferClosestSurroundingLoop"><strong>getTransferClosestSurroundingLoop</strong></a>(oldOrderedLocation, remainingSurroundingLoops, skein)</dt><dd><tt>Get and transfer the closest remaining surrounding loop.</tt></dd></dl>
<dl><dt><a name="-getTransferredPaths"><strong>getTransferredPaths</strong></a>(insides, loop)</dt><dd><tt>Get transferred paths from inside paths.</tt></dd></dl>
<dl><dt><a name="-getTransferredSurroundingLoops"><strong>getTransferredSurroundingLoops</strong></a>(insides, loop)</dt><dd><tt>Get transferred paths from inside surrounding loops.</tt></dd></dl>
<dl><dt><a name="-getWiddershinsDotGiven"><strong>getWiddershinsDotGiven</strong></a>(complexFirst, complexSecond)</dt><dd><tt>Get the magintude of the positive dot product plus one of the x and y components of a pair of complexes, with the reversed sign of the cross product.</tt></dd></dl>
<dl><dt><a name="-getXIntersection"><strong>getXIntersection</strong></a>(firstComplex, secondComplex, y)</dt><dd><tt>Get where the line crosses y.</tt></dd></dl>
<dl><dt><a name="-getXIntersectionsFromIntersections"><strong>getXIntersectionsFromIntersections</strong></a>(xIntersectionIndexList)</dt><dd><tt>Get x intersections from the x intersection index list, in other words subtract non negative intersections from negatives.</tt></dd></dl>
<dl><dt><a name="-getXYComplexFromVector3"><strong>getXYComplexFromVector3</strong></a>(vector3)</dt><dd><tt>Get an xy complex from a vector3 if it exists, otherwise return None.</tt></dd></dl>
<dl><dt><a name="-getZComponentCrossProduct"><strong>getZComponentCrossProduct</strong></a>(vec3First, vec3Second)</dt><dd><tt>Get z component cross product of a pair of Vector3s.</tt></dd></dl>
<dl><dt><a name="-isCloseXYPlane"><strong>isCloseXYPlane</strong></a>(overlapDistance, pixelTable, pointComplex, x, y)</dt><dd><tt>Determine if the point is close to another point on the loop.</tt></dd></dl>
<dl><dt><a name="-isInFilledRegion"><strong>isInFilledRegion</strong></a>(loops, pointComplex)</dt><dd><tt>Determine if the left point is in the filled region of the loops.</tt></dd></dl>
<dl><dt><a name="-isInsideOtherLoops"><strong>isInsideOtherLoops</strong></a>(loopIndex, loops)</dt><dd><tt>Determine if a loop in a list is inside another loop in that list.</tt></dd></dl>
<dl><dt><a name="-isLineIntersectingInsideXSegment"><strong>isLineIntersectingInsideXSegment</strong></a>(segmentFirstX, segmentSecondX, vector3First, vector3Second, y)</dt><dd><tt>Determine if the line is crossing inside the x segment.</tt></dd></dl>
<dl><dt><a name="-isLineIntersectingLoops"><strong>isLineIntersectingLoops</strong></a>(loops, pointBegin, pointEnd)</dt><dd><tt>Determine if the line is intersecting loops.</tt></dd></dl>
<dl><dt><a name="-isLoopIntersectingInsideXSegment"><strong>isLoopIntersectingInsideXSegment</strong></a>(loop, segmentFirstX, segmentSecondX, segmentYMirror, y)</dt><dd><tt>Determine if the loop is intersecting inside the x segment.</tt></dd></dl>
<dl><dt><a name="-isLoopIntersectingLoops"><strong>isLoopIntersectingLoops</strong></a>(loop, otherLoops)</dt><dd><tt>Determine if the loop is intersecting other loops.</tt></dd></dl>
<dl><dt><a name="-isLoopListIntersectingInsideXSegment"><strong>isLoopListIntersectingInsideXSegment</strong></a>(loopList, segmentFirstX, segmentSecondX, segmentYMirror, y)</dt><dd><tt>Determine if the loop list is crossing inside the x segment.</tt></dd></dl>
<dl><dt><a name="-isPathInsideLoop"><strong>isPathInsideLoop</strong></a>(loop, path)</dt><dd><tt>Determine if a path is inside another loop.</tt></dd></dl>
<dl><dt><a name="-isPathInsideLoops"><strong>isPathInsideLoops</strong></a>(loops, path)</dt><dd><tt>Determine if a path is inside another loop in a list.</tt></dd></dl>
<dl><dt><a name="-isPixelTableIntersecting"><strong>isPixelTableIntersecting</strong></a>(bigTable, littleTable, maskTable<font color="#909090">={}</font>)</dt><dd><tt>Add path to the pixel table.</tt></dd></dl>
<dl><dt><a name="-isPointInsideLoop"><strong>isPointInsideLoop</strong></a>(loop, point)</dt><dd><tt>Determine if a point is inside another loop.</tt></dd></dl>
<dl><dt><a name="-isPointInsideLoops"><strong>isPointInsideLoops</strong></a>(loops, point)</dt><dd><tt>Determine if a point is inside a loop list.</tt></dd></dl>
<dl><dt><a name="-isSegmentCompletelyInX"><strong>isSegmentCompletelyInX</strong></a>(segment, xFirst, xSecond)</dt><dd><tt>Determine if the segment overlaps within x.</tt></dd></dl>
<dl><dt><a name="-isWiddershins"><strong>isWiddershins</strong></a>(polygonComplex)</dt><dd><tt>Determine if the complex polygon goes round in the widdershins direction.</tt></dd></dl>
<dl><dt><a name="-isWithinChannel"><strong>isWithinChannel</strong></a>(channelRadius, pointIndex, loopComplex)</dt><dd><tt>Determine if the the point is within the channel between two adjacent points.</tt></dd></dl>
<dl><dt><a name="-isXSegmentIntersectingPaths"><strong>isXSegmentIntersectingPaths</strong></a>(paths, segmentFirstX, segmentSecondX, segmentYMirror, y)</dt><dd><tt>Determine if a path list is crossing inside the x segment.</tt></dd></dl>
<dl><dt><a name="-removePixelTableFromPixelTable"><strong>removePixelTableFromPixelTable</strong></a>(pixelTableToBeRemoved, pixelTableToBeRemovedFrom)</dt><dd><tt>Remove pixel from the pixel table.</tt></dd></dl>
<dl><dt><a name="-toggleHashtable"><strong>toggleHashtable</strong></a>(hashtable, key, value)</dt><dd><tt>Toggle a hashtable between having and not having a key.</tt></dd></dl>
<dl><dt><a name="-transferClosestFillLoop"><strong>transferClosestFillLoop</strong></a>(extrusionHalfWidth, oldOrderedLocation, remainingFillLoops, skein)</dt><dd><tt>Transfer the closest remaining fill loop.</tt></dd></dl>
<dl><dt><a name="-transferClosestPath"><strong>transferClosestPath</strong></a>(oldOrderedLocation, remainingPaths, skein)</dt><dd><tt>Transfer the closest remaining path.</tt></dd></dl>
<dl><dt><a name="-transferClosestPaths"><strong>transferClosestPaths</strong></a>(oldOrderedLocation, remainingPaths, skein)</dt><dd><tt>Transfer the closest remaining paths.</tt></dd></dl>
<dl><dt><a name="-transferPathsToSurroundingLoops"><strong>transferPathsToSurroundingLoops</strong></a>(paths, surroundingLoops)</dt><dd><tt>Transfer paths to surrounding loops.</tt></dd></dl>
</td></tr></table><p>
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
<tr bgcolor="#55aa55">
<td colspan=3 valign=bottom> <br>
<font color="#ffffff" face="helvetica, arial"><big><strong>Data</strong></big></font></td></tr>
<tr><td bgcolor="#55aa55"><tt> </tt></td><td> </td>
<td width="100%"><strong>__author__</strong> = 'Enrique Perez (perez_enrique@yahoo.com)'<br>
<strong>__date__</strong> = '$Date: 2008/21/04 $'<br>
<strong>__license__</strong> = 'GPL 3.0'<br>
<strong>absolute_import</strong> = _Feature((2, 5, 0, 'alpha', 1), (2, 7, 0, 'alpha', 0), 16384)</td></tr></table><p>
<table width="100%" cellspacing=0 cellpadding=2 border=0 summary="section">
<tr bgcolor="#7799ee">
<td colspan=3 valign=bottom> <br>
<font color="#ffffff" face="helvetica, arial"><big><strong>Author</strong></big></font></td></tr>
<tr><td bgcolor="#7799ee"><tt> </tt></td><td> </td>
<td width="100%">Enrique Perez (perez_enrique@yahoo.com)</td></tr></table>
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