/// <summary>
/// The validate method check if the XYPolyline is valid. The checks
/// made are:
/// - is number of points >= 3
/// - is the length of all line segments positiv
/// - do any lines cross
/// - is the area positiv
/// Exception is raised if the constraints are not met.
/// </summary>
public new void Validate()
{
if (Points.Count < 3)
{
throw new System.Exception("Number of vertices in polygon element is less than 3.");
}
if (GetArea() <= 0)
{
throw new System.Exception("Area of polygon is negative or zero. XYPolygons must be ordered counter clockwise.");
}
for (int j = 0; j < Points.Count; j++)
{
if (GetLine(j).GetLength() == 0)
{
throw new System.Exception("Length of line segment no: " +
j.ToString() + " (0-based) of XYPolygon is zero.");
}
}
for (int j = 0; j < Points.Count; j++)
{
for (int m = 0; m < j; m++)
{
if (XYGeometryTools.DoLineSegmentsIntersect(GetLine(j), GetLine(m)))
{
throw new System.Exception("Line no: " + j.ToString() + " and line no: " +
m.ToString() + " of XYPolygon crosses.");
}
}
}
}
/// <summary>
/// The method decides if the triangle formed by P(i-1), P(i) and
/// P(i+1) from Polygon are intersected by any of the other points
/// of the polygon.
/// </summary>
/// <param name="i">Middle index for the three points that forms the triangle</param>
/// <returns>
/// <p>true: If the triangle P(i-1), P(i), P(i+1) is intersected by other parts of Polygon</p>
/// <p>false: otherwise</p>
/// </returns>
protected bool IsIntersected(int i)
{
double x = 0;
double y = 0;
int n = Points.Count;
int im1 = i - 1;
int ip1 = i + 1;
if (i == 0)
{
im1 = n - 1;
}
else if (i == n - 1)
{
ip1 = 0;
}
XYPoint nodeim1 = new XYPoint((XYPoint)Points[im1]);
XYPoint nodei = new XYPoint((XYPoint)Points[i]);
XYPoint nodeip1 = new XYPoint((XYPoint)Points[ip1]);
XYPolygon localPolygon = new XYPolygon();
localPolygon.Points.Add(nodeim1);
localPolygon.Points.Add(nodei);
localPolygon.Points.Add(nodeip1);
int j = 0;
bool intersected = false;
while (((j < n - 1) && (!intersected)))
{
x = ((XYPoint)Points[j]).X;
y = ((XYPoint)Points[j]).Y;
if (((((j != im1) && (j != i)) && (j != ip1)) && XYGeometryTools.IsPointInPolygon(x, y, localPolygon)))
{
return(true);
}
else
{
j++;
}
}
return(false);
}
/// <summary>
/// Calculates the mapping matrix between fromElements and toElements. The mapping method
/// is decided from the combination of methodDescription, fromElements.ElementType and
/// toElements.ElementType.
/// The valid values for methodDescription is obtained through use of the
/// GetAvailableMethods method.
/// </summary>
///
/// <remarks>
/// UpdateMappingMatrix is called during initialisation. UpdateMappingMatrix must be called prior
/// to Mapvalues.
/// </remarks>
///
/// <param name="methodIdentifier">String identification of mapping method</param>
/// <param name="fromElements">The IElementset to map from.</param>
/// <param name="toElements">The IElementset to map to</param>
///
/// <returns>
/// The method has no return value.
/// </returns>
private void UpdateMappingMatrix(ref IIdentifiable methodIdentifier, ref IElementSet fromElements, ref IElementSet toElements)
{
try
{
ElementSetChecker.CheckElementSet(fromElements);
ElementSetChecker.CheckElementSet(toElements);
_method = SpatialAdaptedOutputFactory.GetMethod(methodIdentifier);
_numberOfToRows = toElements.ElementCount;
_numberOfFromColumns = fromElements.ElementCount;
_mappingMatrix = new DoubleSparseMatrix(_numberOfToRows, _numberOfFromColumns);
if (fromElements.ElementType == ElementType.Point && toElements.ElementType == ElementType.Point)
{
#region
try
{
for (int i = 0; i < _numberOfToRows; i++)
{
XYPoint toPoint = CreateXYPoint(toElements, i);
for (int j = 0; j < _numberOfFromColumns; j++)
{
XYPoint fromPoint = CreateXYPoint(fromElements, j);
_mappingMatrix[i, j] = XYGeometryTools.CalculatePointToPointDistance(toPoint, fromPoint);
}
}
if (_method == ElementMapperMethod.Nearest)
{
for (int i = 0; i < _numberOfToRows; i++)
{
double minDist = _mappingMatrix[i, 0];
for (int j = 1; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] < minDist)
{
minDist = _mappingMatrix[i, j];
}
}
int denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] == minDist)
{
_mappingMatrix[i, j] = 1;
denominator++;
}
else
{
_mappingMatrix[i, j] = 0;
}
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
else if (_method == ElementMapperMethod.Inverse)
{
for (int i = 0; i < _numberOfToRows; i++)
{
double minDist = _mappingMatrix[i, 0];
for (int j = 1; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] < minDist)
{
minDist = _mappingMatrix[i, j];
}
}
if (minDist == 0)
{
int denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] == minDist)
{
_mappingMatrix[i, j] = 1;
denominator++;
}
else
{
_mappingMatrix[i, j] = 0;
}
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
else
{
double denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = 1 / _mappingMatrix[i, j];
denominator = denominator + _mappingMatrix[i, j];
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
}
else
{
throw new Exception("methodDescription unknown for point point mapping");
}
}
catch (Exception e)
{
throw new Exception("Point to point mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.Point && toElements.ElementType == ElementType.PolyLine)
{
#region
try
{
for (int i = 0; i < _numberOfToRows; i++)
{
XYPolyline toPolyLine = CreateXYPolyline(toElements, i);
for (int j = 0; j < _numberOfFromColumns; j++)
{
XYPoint fromPoint = CreateXYPoint(fromElements, j);
_mappingMatrix[i, j] = XYGeometryTools.CalculatePolylineToPointDistance(toPolyLine,
fromPoint);
}
}
if (_method == ElementMapperMethod.Nearest)
{
for (int i = 0; i < _numberOfToRows; i++)
{
double minDist = _mappingMatrix[i, 0];
for (int j = 1; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] < minDist)
{
minDist = _mappingMatrix[i, j];
}
}
int denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] == minDist)
{
_mappingMatrix[i, j] = 1;
denominator++;
}
else
{
_mappingMatrix[i, j] = 0;
}
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
else if (_method == ElementMapperMethod.Inverse)
{
for (int i = 0; i < _numberOfToRows; i++)
{
double minDist = _mappingMatrix[i, 0];
for (int j = 1; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] < minDist)
{
minDist = _mappingMatrix[i, j];
}
}
if (minDist == 0)
{
int denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] == minDist)
{
_mappingMatrix[i, j] = 1;
denominator++;
}
else
{
_mappingMatrix[i, j] = 0;
}
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
else
{
double denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = 1 / _mappingMatrix[i, j];
denominator = denominator + _mappingMatrix[i, j];
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
}
else
{
throw new Exception("methodDescription unknown for point to polyline mapping");
}
}
catch (Exception e)
{
throw new Exception("Point to polyline mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.Point &&
toElements.ElementType == ElementType.Polygon)
{
#region
try
{
for (int i = 0; i < _numberOfToRows; i++)
{
XYPolygon polygon = CreateXYPolygon(toElements, i);
int count = 0;
XYPoint point;
for (int n = 0; n < _numberOfFromColumns; n++)
{
point = CreateXYPoint(fromElements, n);
if (XYGeometryTools.IsPointInPolygon(point, polygon))
{
if (_method == ElementMapperMethod.Mean)
{
count = count + 1;
}
else if (_method == ElementMapperMethod.Sum)
{
count = 1;
}
else
{
throw new Exception(
"methodDescription unknown for point to polygon mapping");
}
}
}
for (int n = 0; n < _numberOfFromColumns; n++)
{
point = CreateXYPoint(fromElements, n);
if (XYGeometryTools.IsPointInPolygon(point, polygon))
{
_mappingMatrix[i, n] = 1.0 / count;
}
}
}
}
catch (Exception e)
{
throw new Exception("Point to polygon mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.PolyLine &&
toElements.ElementType == ElementType.Point)
{
#region
try
{
for (int i = 0; i < _numberOfToRows; i++)
{
XYPoint toPoint = CreateXYPoint(toElements, i);
for (int j = 0; j < _numberOfFromColumns; j++)
{
XYPolyline fromPolyLine = CreateXYPolyline(fromElements, j);
_mappingMatrix[i, j] =
XYGeometryTools.CalculatePolylineToPointDistance(fromPolyLine, toPoint);
}
}
if (_method == ElementMapperMethod.Nearest)
{
for (int i = 0; i < _numberOfToRows; i++)
{
double minDist = _mappingMatrix[i, 0];
for (int j = 1; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] < minDist)
{
minDist = _mappingMatrix[i, j];
}
}
int denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] == minDist)
{
_mappingMatrix[i, j] = 1;
denominator++;
}
else
{
_mappingMatrix[i, j] = 0;
}
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
else if (_method == ElementMapperMethod.Inverse)
{
for (int i = 0; i < _numberOfToRows; i++)
{
double minDist = _mappingMatrix[i, 0];
for (int j = 1; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] < minDist)
{
minDist = _mappingMatrix[i, j];
}
}
if (minDist == 0)
{
int denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
if (_mappingMatrix[i, j] == minDist)
{
_mappingMatrix[i, j] = 1;
denominator++;
}
else
{
_mappingMatrix[i, j] = 0;
}
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
else
{
double denominator = 0;
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = 1 / _mappingMatrix[i, j];
denominator = denominator + _mappingMatrix[i, j];
}
for (int j = 0; j < _numberOfFromColumns; j++)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
}
else
{
throw new Exception("methodDescription unknown for polyline to point mapping");
}
}
catch (Exception e) // Catch for all of the Point to Polyline part
{
throw new Exception("Polyline to point mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.PolyLine &&
toElements.ElementType == ElementType.Polygon)
{
#region
try
{
// For each polygon in target
for (int i = 0; i < _numberOfToRows; i++)
{
XYPolygon polygon = CreateXYPolygon(toElements, i);
if (_method == ElementMapperMethod.WeightedMean)
{
double totalLineLengthInPolygon = 0;
for (int n = 0; n < _numberOfFromColumns; n++)
{
XYPolyline polyline = CreateXYPolyline(fromElements, n);
_mappingMatrix[i, n] =
XYGeometryTools.CalculateLengthOfPolylineInsidePolygon(
polyline, polygon);
totalLineLengthInPolygon += _mappingMatrix[i, n];
}
if (totalLineLengthInPolygon > 0)
{
for (int n = 0; n < _numberOfFromColumns; n++)
{
_mappingMatrix[i, n] = _mappingMatrix[i, n] /
totalLineLengthInPolygon;
}
}
}
else if (_method == ElementMapperMethod.WeightedSum)
{
// For each line segment in PolyLine
for (int n = 0; n < _numberOfFromColumns; n++)
{
XYPolyline polyline = CreateXYPolyline(fromElements, n);
_mappingMatrix[i, n] =
XYGeometryTools.CalculateLengthOfPolylineInsidePolygon(
polyline, polygon) / polyline.GetLength();
}
}
else
{
throw new Exception(
"methodDescription unknown for polyline to polygon mapping");
}
}
}
catch (Exception e)
{
throw new Exception("Polyline to polygon mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.Polygon &&
toElements.ElementType == ElementType.Point)
{
#region
try
{
if (_method != ElementMapperMethod.Value)
{
throw new Exception("methodDescription unknown for polygon to point mapping");
}
// Only create search tree if number of cols/rows is larger than say 10/10.
bool useSearchTree = _numberOfFromColumns > 10 && _numberOfToRows > 10;
XYElementSearchTree <int> fromSearchTree = null;
ICollection <int> fromCandidateElmts = null;
if (useSearchTree)
{
fromSearchTree = XYElementSearchTree <int> .BuildSearchTree(fromElements);
}
else
{
fromCandidateElmts = new IntSequence(0, _numberOfFromColumns - 1);
}
for (int n = 0; n < _numberOfToRows; n++)
{
XYPoint point = CreateXYPoint(toElements, n);
if (useSearchTree)
{
XYExtent toExtent = XYExtentUtil.GetExtent(point, XYGeometryTools.EPSILON);
fromCandidateElmts = fromSearchTree.FindElements(toExtent);
}
int count = 0;
// Check first for strict inclusion
foreach (int i in fromCandidateElmts)
{
XYPolygon polygon = CreateXYPolygon(fromElements, i);
if (XYGeometryTools.IsPointInPolygon(point, polygon))
{
_mappingMatrix[n, i] = 1.0;
count++;
}
}
if (count == 0)
{
// Not strictly inside any polygon, check also edges
foreach (int i in fromCandidateElmts)
{
XYPolygon polygon = CreateXYPolygon(fromElements, i);
if (XYGeometryTools.IsPointInPolygonOrOnEdge(point, polygon))
{
_mappingMatrix[n, i] = 1.0;
count++;
}
}
}
if (count > 1)
{
// In case of more than one hit, use average
foreach (int i in fromCandidateElmts)
{
if (_mappingMatrix[n, i] != 0.0)
{
_mappingMatrix[n, i] = 1.0 / count;
}
}
}
}
}
catch (Exception e)
{
throw new Exception("Polygon to point mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.Polygon &&
toElements.ElementType == ElementType.PolyLine)
// Polygon to PolyLine
{
#region
try
{
for (int i = 0; i < _numberOfToRows; i++)
{
XYPolyline polyline = CreateXYPolyline(toElements, i);
if (_method == ElementMapperMethod.WeightedMean)
{
for (int n = 0; n < _numberOfFromColumns; n++)
{
XYPolygon polygon = CreateXYPolygon(fromElements, n);
_mappingMatrix[i, n] =
XYGeometryTools.CalculateLengthOfPolylineInsidePolygon(
polyline, polygon) / polyline.GetLength();
}
double sum = 0;
for (int n = 0; n < _numberOfFromColumns; n++)
{
sum += _mappingMatrix[i, n];
}
for (int n = 0; n < _numberOfFromColumns; n++)
{
_mappingMatrix[i, n] = _mappingMatrix[i, n] / sum;
}
}
else if (_method == ElementMapperMethod.WeightedSum)
{
for (int n = 0; n < _numberOfFromColumns; n++)
{
XYPolygon polygon = CreateXYPolygon(fromElements, n);
_mappingMatrix[i, n] =
XYGeometryTools.CalculateLengthOfPolylineInsidePolygon(
polyline, polygon) / polyline.GetLength();
}
}
else
{
throw new Exception(
"methodDescription unknown for polygon to polyline mapping");
}
}
}
catch (Exception e) // catch for all of Polygon to PolyLine
{
throw new Exception("Polygon to polyline mapping failed", e);
}
#endregion
}
else if (fromElements.ElementType == ElementType.Polygon &&
toElements.ElementType == ElementType.Polygon)
// Polygon to Polygon
{
#region
try
{
// Only create search tree if number of cols/rows is larger than say 100/10.
bool useSearchTree = _numberOfFromColumns > 10 && _numberOfToRows > 10;
XYElementSearchTree <int> fromSearchTree = null;
ICollection <int> fromCandidateElmts = null;
if (useSearchTree)
{
fromSearchTree = XYElementSearchTree <int> .BuildSearchTree(fromElements);
}
else
{
fromCandidateElmts = new IntSequence(0, _numberOfFromColumns - 1);
}
for (int i = 0; i < _numberOfToRows; i++)
{
XYPolygon toPolygon = CreateXYPolygon(toElements, i);
if (useSearchTree)
{
XYExtent toExtent = XYExtentUtil.GetExtent(toPolygon);
fromCandidateElmts = fromSearchTree.FindElements(toExtent);
}
foreach (int j in fromCandidateElmts)
{
XYPolygon fromPolygon = CreateXYPolygon(fromElements, j);
_mappingMatrix[i, j] = XYGeometryTools.CalculateSharedArea(
toPolygon, fromPolygon);
if (_method == ElementMapperMethod.Distribute)
{
_mappingMatrix[i, j] /= fromPolygon.GetArea();
}
}
if (_method == ElementMapperMethod.WeightedMean)
{
double denominator = 0;
foreach (int j in fromCandidateElmts)
{
denominator = denominator + _mappingMatrix[i, j];
}
foreach (int j in fromCandidateElmts)
{
if (denominator != 0)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / denominator;
}
}
}
else if (_method == ElementMapperMethod.WeightedSum)
{
foreach (int j in fromCandidateElmts)
{
_mappingMatrix[i, j] = _mappingMatrix[i, j] / toPolygon.GetArea();
}
}
else if (_method != ElementMapperMethod.Distribute)
{
throw new Exception(
"methodDescription unknown for polygon to polygon mapping");
}
}
}
catch (Exception e) // catch for all of Polygon to Polygon
{
throw new Exception("Polygon to polygon mapping failed", e);
}
#endregion
}
else // if the fromElementType, toElementType combination is no implemented
{
throw new Exception(
"Mapping of specified ElementTypes not included in ElementMapper");
}
}
catch (Exception e)
{
throw new Exception("UpdateMappingMatrix failed to update mapping matrix", e);
}
}