public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Acquire the diagonals.
if (this.topLeftBottomRightDiagonal == null || this.bottomLeftTopRightDiagonal == null)
{
System.Diagnostics.Debug.WriteLine("No-Op");
}
double diag1Length = known.GetSegmentLength(this.bottomLeftTopRightDiagonal);
double diag2Length = known.GetSegmentLength(this.topLeftBottomRightDiagonal);
// Multiply base * height.
double thisArea = -1;
if (diag1Length < 0 || diag2Length < 0)
{
thisArea = -1;
}
else
{
thisArea = 0.5 * diag1Length * diag2Length;
}
return(thisArea > 0 ? thisArea : SplitTriangleArea(known));
}
//
// Attempt trapezoidal formulas; if they fail, call the base method: splitting into triangles.
//
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Acquire the height of the trapezoid: if it's a known value.
double height = GetHeight(known);
if (height < 0)
{
return(-1);
}
double area = GetBaseBasedArea(height, known);
if (area > 0)
{
return(area);
}
area = GetMedianBasedArea(height, known);
if (area > 0)
{
return(area);
}
return(base.GetArea(known));
}
//
// Acquire the height of the isosceles trapezoid: h = Sqrt(c^2 - 1/4 (b - a)^2)
//
public void CalculateHeight(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Check if the height has already been calculated.
if (calculatedHeight > 0)
{
return;
}
// Calculate the height.
double base1Length = known.GetSegmentLength(this.baseSegment);
double base2Length = known.GetSegmentLength(this.oppBaseSegment);
double isoSideLength = known.GetSegmentLength(this.leftLeg);
if (isoSideLength < 0)
{
isoSideLength = known.GetSegmentLength(this.rightLeg);
}
if (base1Length < 0 || base2Length < 0 || isoSideLength < 0)
{
return;
}
this.calculatedHeight = Math.Sqrt(isoSideLength * isoSideLength - Math.Pow(base1Length - base2Length, 2) / 4.0);
}
//
// As a general mechanism, can we split up this quadrilateral into two triangles and find those individual areas?
// We must try two combinations of triangle splitting.
//
protected double SplitTriangleArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
//
// Check the areas of each pairs, only if a diagonal is evident.
//
if (TopLeftDiagonalIsValid())
{
double area1 = triPairTLBR.Key.GetArea(known);
double area2 = triPairTLBR.Value.GetArea(known);
if (area1 > 0 && area2 > 0)
{
return(area1 + area2);
}
}
if (BottomRightDiagonalIsValid())
{
double area1 = triPairBLTR.Key.GetArea(known);
double area2 = triPairBLTR.Value.GetArea(known);
if (area1 > 0 && area2 > 0)
{
return(area1 + area2);
}
}
return(-1);
}
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
if (theArc is Semicircle)
{
return((theArc as Semicircle).GetArea(known));
}
// Central Angle; this is minor arc measure by default
double angleMeasure = Angle.toRadians(known.GetAngleMeasure(this.theArc.GetCentralAngle()));
if (angleMeasure <= 0)
{
return(-1);
}
// Make a major arc measure, if needed.
if (theArc is MajorArc)
{
angleMeasure = 2 * Math.PI - angleMeasure;
}
// Radius / Circle
double circArea = theArc.theCircle.GetArea(known);
if (circArea <= 0)
{
return(-1);
}
// The area is a proportion of the circle defined by the angle.
return((angleMeasure / (2 * Math.PI)) * circArea);
}
//
// Attempt trapezoidal formulas; if they fail, call the base method: splitting into triangles.
//
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
if (calculatedHeight > 0)
{
double area = GetBaseBasedArea(calculatedHeight, known);
}
return(base.GetArea(known));
}
public override bool CanAreaBeComputed(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Check side-squared.
if (ClassicArea(known) > 0)
{
return(true);
}
// If not side-squared, check the general quadrilateral split into triangles.
return(base.CanAreaBeComputed(known));
}
public override bool CanAreaBeComputed(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Central Angle
if (known.GetAngleMeasure(this.theArc.GetCentralAngle()) < 0)
{
return(false);
}
// Radius / Circle
return(theArc.theCircle.CanAreaBeComputed(known));
}
public double GetHeight(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
foreach (KeyValuePair <Segment, double> pair in known.GetKnownSegments())
{
if (this.IsHeight(pair.Key))
{
return(pair.Value);
}
}
return(-1);
}
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Check side-squared.
double area = ClassicArea(known);
if (area > 0)
{
return(area);
}
// If not side-squared, check the general quadrilateral split into triangles.
return(base.GetArea(known));
}
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Radius / Circle
double circArea = theCircle.GetArea(known);
if (circArea <= 0)
{
return(-1);
}
// The area is a proportion of the circle defined by the angle.
return(0.5 * circArea);
}
private double ClassicArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
foreach (Segment side in orderedSides)
{
double sideLength = known.GetSegmentLength(side);
if (sideLength > 0)
{
return(Area(sideLength));
}
}
return(-1);
}
//
// Compute the area of the trapezoid using the A = median * height
//
public double GetMedianBasedArea(double height, Area_Based_Analyses.KnownMeasurementsAggregator known)
{
if (!IsMedianValid())
{
return(-1);
}
double medianLength = known.GetSegmentLength(median);
if (medianLength < 0)
{
return(-1);
}
return(medianLength * height);
}
//
// Compute the area of the trapezoid using the A = 1/2 * (b_1 + b_2) * h
//
public double GetBaseBasedArea(double height, Area_Based_Analyses.KnownMeasurementsAggregator known)
{
double baseLength1 = known.GetSegmentLength(baseSegment);
if (baseLength1 < 0)
{
return(-1);
}
double baseLength2 = known.GetSegmentLength(oppBaseSegment);
if (baseLength2 < 0)
{
return(-1);
}
return(0.5 * (baseLength1 + baseLength2) * height);
}
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
double[] sideVals = new double[orderedSides.Count];
for (int s = 0; s < orderedSides.Count; s++)
{
sideVals[s] = known.GetSegmentLength(orderedSides[s]);
}
// One pair of adjacent sides is required for the area computation.
for (int s = 0; s < sideVals.Length; s++)
{
double baseVal = sideVals[s];
double heightVal = sideVals[(s + 1) % sideVals.Length];
if (baseVal > 0 && heightVal > 0)
{
return(Area(baseVal, heightVal));
}
}
return(SplitTriangleArea(known));
}
public void SetKnowns(Area_Based_Analyses.KnownMeasurementsAggregator k)
{
this.known = k;
}
public override double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
return(SplitTriangleArea(known));
}
public override bool CanAreaBeComputed(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
return(SplitTriangleArea(known) > 0);
}
public virtual bool CanAreaBeComputed(Area_Based_Analyses.KnownMeasurementsAggregator known) { return false; }
public virtual double GetArea(Area_Based_Analyses.KnownMeasurementsAggregator known) { return -1; }
public override bool CanAreaBeComputed(Area_Based_Analyses.KnownMeasurementsAggregator known)
{
// Radius / Circle
return(theCircle.CanAreaBeComputed(known));
}
