public void PlaneRegion_ShiftList()
{
List<ISurface> planes = new List<ISurface>();
List<LineSegment> polygonLines = new List<LineSegment>();
polygonLines.Add(new LineSegment(MakePointWithInches(2, 3, 1)));
polygonLines.Add(new LineSegment(MakePointWithInches(0, 2, 5)));
polygonLines.Add(new LineSegment(MakePointWithInches(2, 3, 1), MakePointWithInches(0, 2, 5)));
Polygon polygon = new Polygon(polygonLines);
List<LineSegment> polygon2Lines = new List<LineSegment>();
polygon2Lines.Add(new LineSegment(MakePointWithInches(-1, -5, 7)));
polygon2Lines.Add(new LineSegment(MakePointWithInches(2, 3, 2)));
polygon2Lines.Add(new LineSegment(MakePointWithInches(2, 3, 2), MakePointWithInches(-1, -5, 7)));
Polygon polygon2 = new Polygon(polygon2Lines);
List<IEdge> nonPolygonEdges = new List<IEdge>();
nonPolygonEdges.Add(new LineSegment(MakePointWithInches(1, 5, 3)));
nonPolygonEdges.Add(new LineSegment(MakePointWithInches(1, 5, 3), MakePointWithInches(2, 3, 3)));
Arc arcToadd = new Arc(Point.Origin, MakePointWithInches(2, 3, 3), Direction.Right);
nonPolygonEdges.Add(arcToadd);
PlaneRegion nonPolygon = new PlaneRegion(nonPolygonEdges);
//add them to the generic list
planes.Add(polygon);
planes.Add(polygon2);
planes.Add(nonPolygon);
Shift shift = new Shift(MakePointWithInches(2, 0, 0));
List<LineSegment> polygonExpectedLines = new List<LineSegment>();
polygonExpectedLines.Add(new LineSegment(MakePointWithInches(2, 0, 0), MakePointWithInches(4, 3, 1)));
polygonExpectedLines.Add(new LineSegment(MakePointWithInches(2, 0, 0), MakePointWithInches(2, 2, 5)));
polygonExpectedLines.Add(new LineSegment(MakePointWithInches(4, 3, 1), MakePointWithInches(2, 2, 5)));
Polygon polygonExpected = new Polygon(polygonExpectedLines);
List<LineSegment> polygon2ExpectedLines = new List<LineSegment>();
polygon2ExpectedLines.Add(new LineSegment(MakePointWithInches(2, 0, 0), MakePointWithInches(1, -5, 7)));
polygon2ExpectedLines.Add(new LineSegment(MakePointWithInches(2, 0, 0), MakePointWithInches(4, 3, 2)));
polygon2ExpectedLines.Add(new LineSegment(MakePointWithInches(4, 3, 2), MakePointWithInches(1, -5, 7)));
Polygon polygon2Expected = new Polygon(polygon2ExpectedLines);
List<IEdge> nonPolygonExpectedEdges = new List<IEdge>();
nonPolygonExpectedEdges.Add(new LineSegment(MakePointWithInches(2, 0, 0), MakePointWithInches(3, 5, 3)));
nonPolygonExpectedEdges.Add(new LineSegment(MakePointWithInches(3, 5, 3), MakePointWithInches(4, 3, 3)));
Arc arcExpected = new Arc(MakePointWithInches(2, 0, 0), MakePointWithInches(4, 3, 3), Direction.Right);
nonPolygonExpectedEdges.Add(arcExpected);
PlaneRegion nonPolygonExpected = new PlaneRegion(nonPolygonExpectedEdges);
List<ISurface> resultPlanes = planes.Shift(shift);
((Polygon)resultPlanes[0] == polygonExpected).Should().BeTrue();
((Polygon)resultPlanes[1] == polygon2Expected).Should().BeTrue();
((PlaneRegion)resultPlanes[2] == nonPolygonExpected).Should().BeTrue();
}
public Circle(Point center, Distance radius, Direction normalDirection = null)
{
if (normalDirection == null)
{
normalDirection = Direction.Out;
}
var vector1 = new Vector(Point.MakePointWithInches(1, 0, 0)).CrossProduct(normalDirection * new Distance(1, Inches));
var vector2 = new Vector(Point.MakePointWithInches(0, 1, 0)).CrossProduct(normalDirection * new Distance(1, Inches));
var vector3 = new Vector(Point.MakePointWithInches(0, 0, 1)).CrossProduct(normalDirection * new Distance(1, Inches));
var chosen = new List<Vector>() { vector1, vector2, vector3 }.MaxBy(v => v.Magnitude);
var basePoint = center.Translate(chosen.Direction * radius);
var arc = new Arc(basePoint, basePoint, new Line(center, normalDirection));
this._Edges = new List<IEdge>() { arc };
this.NormalLine = new Line(arc.CenterPoint, arc.NormalDirection);
}
public void Arc_Properties_Quarter_Circle()
{
//make our default arc
Point basePoint = Point.Origin;
Point endPoint = Point.MakePointWithInches(3, 3, 4.24264); //sqr(3^2 + 3^2)
Direction directionAtStart = new Direction(Point.MakePointWithInches(1, 1, 0));
Arc quarterArc = new Arc(basePoint, endPoint, directionAtStart);
//test arc length
Distance arcLength = quarterArc.ArcLength;
//s = r(theta)
Distance expectedArclength = new Distance(new Inch(), 4.24264 * Math.PI / 2);
(arcLength == expectedArclength).Should().BeTrue();
//test arc area
Area arcArea = quarterArc.SectorArea;
//a = (theta)/2 * r^2
Area expectedArea = new Area(new SquareInch(), (Math.PI / 2) / 2 * (18)); //Pi/2 = 90 degrees, 18 = r^2
(arcArea == expectedArea).Should().BeTrue();
//test the arcSegmentArea
Area arcSegmentArea = quarterArc.SegmentArea;
//a = r^2 / 2 * (theta - sin(theta))
Area expectedSegmentLength = new Area(new SquareInch(), 18 / 2 * (Math.PI / 2 - Math.Sin(Math.PI / 2))); //Pi/2 = 90 degrees, 18 = r^2
(arcSegmentArea == expectedSegmentLength).Should().BeTrue();
//test the central angle
Angle centralAngle = quarterArc.CentralAngle;
(centralAngle == Angle.RightAngle).Should().BeTrue();
//test the center point
Point centerPoint = quarterArc.CenterPoint;
(centerPoint == Point.MakePointWithInches(0, 0, 4.24264)).Should().BeTrue();//sqr(3^2 + 3^2)
//test the radius
Distance radius = quarterArc.RadiusOfCurvature;
(radius == new Distance(new Inch(), 4.24264)).Should().BeTrue();//sqr(3^2 + 3^2)
//test the straight line direction (same as direction)
Direction straightDirection = quarterArc.StraightLineDirection;
(straightDirection == new Direction(Angle.RightAngle / 2, Angle.RightAngle / 2)).Should().BeTrue();
}
public void Arc_Properties_Half_Circle()
{
//make our default arc
Point basePoint = Point.Origin;
Point endPoint = Point.MakePointWithInches(0, 0, 6);
Direction directionAtStart = new Direction(Point.MakePointWithInches(1, 1, 0));
Arc halfArc = new Arc(basePoint, endPoint, directionAtStart);
//test arc length
Distance arcLength = halfArc.ArcLength;
//s = r(theta)
Distance expectedArclength = new Distance(new Inch(), 3 * Math.PI);
(arcLength == expectedArclength).Should().BeTrue();
//test arc area
Area arcArea = halfArc.SectorArea;
//a = (theta)/2 * r^2
Area expectedArea = new Area(new SquareInch(), (Math.PI) *4.5 ); //Pi = 180 degrees, 9 = r^2
(arcArea == expectedArea).Should().BeTrue();
//test the arcSegmentArea
Area arcSegmentArea = halfArc.SegmentArea;
//a = r^2 / 2 * (theta - sin(theta))
Area expectedSegmentArea = new Area(new SquareInch(), 9 * 0.5 * (Math.PI)); //Pi = 180 degrees, 9 = r^2
(arcSegmentArea == expectedSegmentArea).Should().BeTrue();
//test the central angle
Angle centralAngle = halfArc.CentralAngle;
(centralAngle == Angle.StraightAngle).Should().BeTrue();
//test the center point
Point centerPoint = halfArc.CenterPoint;
(centerPoint == Point.MakePointWithInches(0, 0, 3)).Should().BeTrue();
//test the radius
Distance radius = halfArc.RadiusOfCurvature;
(radius == new Distance(new Inch(), 3)).Should().BeTrue();
//test the straight line direction (same as direction)
Direction straightDirection = halfArc.StraightLineDirection;
(straightDirection == new Direction(Angle.ZeroAngle, Angle.ZeroAngle)).Should().BeTrue();
}
public void Arc_Shift()
{
//make our default arc
Point basePoint = Point.Origin;
Point endPoint = Point.MakePointWithInches(3, 3, 4.24264);
Direction directionAtStart = new Direction(Point.MakePointWithInches(1, 1, 0));
Arc testArc = new Arc(basePoint, endPoint, directionAtStart);
Shift testShift = new Shift(new Rotation(Line.ZAxis, Angle.RightAngle / 2), Point.MakePointWithInches(-3, 0.25, -2));
Arc results = testArc.Shift(testShift);
Arc expected = new Arc(Point.MakePointWithInches(-3, 0.25, -2), Point.MakePointWithInches(0 - 3, 4.24264 + 0.25, 4.24264 - 2), Direction.Up);
(results == expected).Should().BeTrue();
}
public void Arc_Rotate()
{
//make our default arc
Point basePoint = Point.Origin;
Point endPoint = Point.MakePointWithInches(3, 3, 4.24264);
Direction directionAtStart = new Direction(Point.MakePointWithInches(1, 1, 0));
Arc testArc = new Arc(basePoint, endPoint, directionAtStart);
Arc results = testArc.Rotate(new Rotation(new Line(new Direction(Point.MakePointWithInches(1, -1, 0)), Point.MakePointWithInches(0, 0, 4.24264)), Angle.RightAngle));
Arc expected = new Arc(endPoint, Point.MakePointWithInches(0, 0, 4.24264 * 2), new Direction(Point.MakePointWithInches(0, 0, 1)));
(results == expected).Should().BeTrue();
//try another rotation
Arc results2 = testArc.Rotate(new Rotation(new Line(new Direction(Point.MakePointWithInches(0, 0, 1)), Point.MakePointWithInches(1.5, 1.5, 0)), Angle.StraightAngle));
Arc expected2 = new Arc(Point.MakePointWithInches(3, 3, 0), Point.MakePointWithInches(0, 0, 4.24264), new Direction(Point.MakePointWithInches(-1, -1, 0)));
(results2 == expected2).Should().BeTrue();
}
public void Arc_Translate()
{
//make our default arc
Point basePoint = Point.Origin;
Point endPoint = Point.MakePointWithInches(-3, 2, 1);
Direction directionAtStart = new Direction(Point.MakePointWithInches(-1, 1, 0.5));
Arc testArc = new Arc(basePoint, endPoint, directionAtStart);
Arc results = testArc.Translate(Point.MakePointWithInches(-1, 2, .5));
Arc expected = new Arc(Point.MakePointWithInches(-1, 2, 0.5), Point.MakePointWithInches(-3 - 1, 2 + 2, 1 + .5), directionAtStart);
(results == expected).Should().BeTrue();
}
/// <summary>
/// Creates a copy of this Arc
/// </summary>
/// <param name="toCopy">The Arc to copy</param>
public Arc(Arc toCopy)
{
BasePoint = toCopy.BasePoint;
EndPoint = toCopy.EndPoint;
CenterPoint = toCopy.CenterPoint;
NormalDirection = toCopy.NormalDirection;
}
