public static bool IsLayIn(this Point2D pt, Line2D line)
{
Vector2D vs = pt - line.StartPoint;
Vector2D ve = pt - line.EndPoint;
Vector2D v2 = line.EndPoint - line.StartPoint;
if ((pt.DistanceTo(line.StartPoint) <= 1e-10) || (pt.DistanceTo(line.EndPoint) <= 1e-10))
{
return(false);
}
//else if (vs.IsParallelTo(ve,Angle.FromDegrees(1e-20)))
else if (Math.Abs(vs.AngleTo(ve).Radians - Math.PI) <= 1e-10 || Math.Abs(vs.AngleTo(ve).Radians - 0) <= 1e-10)
{
if ((v2.Length > vs.Length) && (v2.Length > ve.Length) && (vs.Length * ve.Length != 0))
{
return(true);
}
else
{
return(false);
}
}
else
{
return(false);
}
}
public static Angle CounterClockwiseRotationToXAxis(this Vector2D vector)
{
var rotation = vector.AngleTo(Vector2D.XAxis);
return((vector.Y > 0d)
? -1 * rotation
: rotation);
}
public override void Run(List <Point> points, List <Line> lines, List <Polygon> polygons, ref List <Point> outPoints, ref List <Line> outLines, ref List <Polygon> outPolygons)
{
if (points.Count == 1)
{
outPoints.Add(points[0]); return;
}
var(minPoint, idx) = HelperMethods.GetMinPoint(points, 'y');
var minVec = new Vector2D(new Point(minPoint.X + 1234, minPoint.Y));
points.Sort((a, b) =>
{
if (HelperMethods.CheckTurn(new Line(minPoint, a), b) == Enums.TurnType.Colinear)
{
return(Point.GetSqrDistance(a, minPoint).CompareTo(Point.GetSqrDistance(b, minPoint)));
}
return(minVec.AngleTo(new Vector2D(minPoint.VectorTo(a))).Degrees
.CompareTo(minVec.AngleTo(new Vector2D(minPoint.VectorTo(b))).Degrees));
});
for (int i = 1; i < points.Count - 1; ++i)
{
if (HelperMethods.CheckTurn(new Line(points[0], points[i]), points[i + 1]) == Enums.TurnType.Colinear)
{
points.RemoveAt(i--);
}
}
if (points.Count <= 3)
{
outPoints.AddRange(points); return;
}
Stack <Point> st = new Stack <Point>();
st.PushRange(points.GetRange(0, 3));
for (int i = 3; i < points.Count; ++i)
{
while (HelperMethods.CheckTurn(new Line(st.GetSecondTop(), st.Peek()), points[i])
!= Enums.TurnType.Left)
{
st.Pop();
}
st.Push(points[i]);
}
outPoints.AddRange(st);
}
/// <summary>
/// The angle made by a combined/magnitude vector with the horizontal axis
/// </summary>
/// <param name="v"></param>
/// <param name="v2"></param>
/// <returns></returns>
public static double CombinedAngle(this Vector2D v, Vector2D v2)
{
Vector2D vector = v.Add(v2);
Vector2D horizontalunitVector = new Vector2D();
// double length = v2.Length;
//double ab = Vector2D.AngleBetween(v, v2);
return(vector.AngleTo(horizontalunitVector).Degrees);
}
// gets the relative side of an element to another
// so if A is to the left of B, returns Side.Left
public static Side RelativeSide(Point2D pointA, Point2D pointB)
{
Vector2D vec = (pointB - pointA);
double ang = vec.AngleTo(new Vector2D(0, 1)).Degrees;
Side side = FromAngle(ang);
return(side);
}
public void AngleTo_Tests()
{
var v = new Vector2D(1, 0);
var l = v.Angle;
Assert.AreEqual(0, l);
var v1 = new Vector2D(0, 1);
l = v1.Angle;
Assert.AreEqual(System.Math.PI / 2, l);
var v2 = new Vector2D(-1, 0);
l = v2.Angle;
Assert.AreEqual(System.Math.PI, l);
var v3 = new Vector2D(0, -1);
l = v3.Angle;
Assert.AreEqual(3 * System.Math.PI / 2, l);
var v4 = new Vector2D(1, -1);
l = v4.Angle;
Assert.AreEqual(1.75 * System.Math.PI, l);
var a = v.AngleTo(v1);
Assert.AreEqual(-System.Math.PI / 2, a);
a = v.AngleTo(v2);
Assert.AreEqual(-System.Math.PI, a);
a = v.AngleTo(v3);
Assert.AreEqual(-(3 * System.Math.PI / 2), a);
a = v.AngleTo(v4);
Assert.AreEqual(-(1.75 * System.Math.PI), a);
}
private double[] SolveBetter2(double k1, double k2, Point2D p0, Point2D p1, double offset = 0)
{
double km = 0.5 * (k1 + k2);
Vector2D G = p1 - p0;
Vector2D CDir1 = new Vector2D(GetDir(k1)[0], GetDir(k1)[1]).Rotate(Angle.FromDegrees(90));
Vector2D CDir2 = new Vector2D(GetDir(k2)[0], GetDir(k2)[1]).Rotate(Angle.FromDegrees(90));
Vector2D CDirM = new Vector2D(GetDir(km)[0], GetDir(km)[1]).Rotate(Angle.FromDegrees(90));
Point2D p21 = new Point2D(GetCoord(k1)[0], GetCoord(k1)[1]) + CDir1 * offset;
Point2D p22 = new Point2D(GetCoord(k2)[0], GetCoord(k2)[1]) + CDir2 * offset;
Point2D p2m = new Point2D(GetCoord(km)[0], GetCoord(km)[1]) + CDirM * offset;
Vector2D T1 = p21 - p0;
Vector2D T2 = p22 - p0;
Vector2D Tm = p2m - p0;
Angle A1 = G.SignedAngleTo(T1);
Angle A2 = G.SignedAngleTo(T2);
Angle Am = G.SignedAngleTo(Tm);
if (Math.Abs(A1.Degrees - G.AngleTo(T1).Degrees) > 1e-3)
{
A1 = -A1;
}
if (Math.Abs(A2.Degrees - G.AngleTo(T2).Degrees) > 1e-3)
{
A2 = A2 - Angle.FromDegrees(360.0);
}
if (Math.Abs(Am.Degrees - G.AngleTo(Tm).Degrees) > 1e-3)
{
Am = Am - Angle.FromDegrees(360.0);
}
if (Am.Degrees * A1.Degrees > 0)
{
return(new double[] { km, k2 });
}
else
{
return(new double[] { k1, km });
}
}
public override double Intersect(BasinBase otherBasin)
{
var other = (MeridianBase)otherBasin;
var Qt = new Vector2D(
other.Q.X * Math.Cos(Lambda.Value - otherBasin.Lambda.Value),
other.Q.Y);
Beta_traverse = Qt.AngleTo(Qb /*or Q?*/.ToVector2D()).Radians;
return(Triangles.SinusesTheorem(
Math.PI / 2 + Delta_g_meridian,
r,
Beta_traverse)
-
//r;
otherBasin.r); //there's deformation
}
private void UpdateCurrentState()
{
int[] idx = new int[3];
idx[0] = 1;
idx[1] = Arm.Compartments.Length * 4 / 10;
idx[2] = Arm.Compartments.Length - 1;
int i = 0;
Vector2D target = Targets.First().Position;
for (i = 0; i < 3; i++)
{
IEnumerable <Node> nodes = Enumerable.Concat(Arm.UpperNodes.Skip(idx[i]), Arm.LowerNodes.Skip(idx[i]));
double totalMass = nodes.Sum(v => v.Mass);
double avx = nodes.Sum(v => v.Position.PositionX * v.Mass) / totalMass;
double avy = nodes.Sum(v => v.Position.PositionY * v.Mass) / totalMass;
Vector2D point = new Vector2D(avx, avy);
CurrentState[i * 2 + 4] = point.Norm - target.Norm;
CurrentState[i * 2 + 5] = target.AngleTo(point);
if (i == 0)
{
CurrentState[0] = target.Norm;
CurrentState[1] = (new Vector2D(1, 0)).AngleTo(target);
Vector2D vel = new Vector2D(
nodes.Sum(v => v.Velocity.PositionX) / totalMass,
nodes.Sum(v => v.Velocity.PositionY) / totalMass);
CurrentState[2] = vel.Norm < 1e-7 ? 0 : vel.Norm * System.Math.Cos(point.AngleTo(vel));
CurrentState[3] = vel.Norm < 1e-7 ? 0 : vel.Norm * System.Math.Sin(point.AngleTo(vel));
}
}
CurrentState[10] = System.Math.Sign(CurrentState[8]);
CurrentState[11] = System.Math.Sign(CurrentState[9]);
CurrentState.IsTerminal = Terminal;
}
private ShearWallPanelResponse DetermineWallResponse(AnalyticalWallLateral wall,
ShearWallPanelRigidAnalysisParameters wallStiffness, LateralLevelForce force)
{
Force directXShear = (Force)(wallStiffness.Kx * force.DirectX / LevelStiffness.X);
Force directYShear = (Force)(wallStiffness.Ky * force.DirectY / LevelStiffness.Y);
Vector2D directVector = new Vector2D(directXShear.Value, directYShear.Value);
var wallUnitVector = wall.WallLine.ToVector2D().Normalize();
var response = new ShearWallPanelResponse(wall.UniqueId, force.LoadPattern, wall.WallLine);
response.DirectShear = directVector.AngleTo(wallUnitVector).Degrees < 90
? new Force(directVector.Length, ForceUnit.Kip)
: new Force(-directVector.Length, ForceUnit.Kip);
response.TorsionalShear = (Force)(wallStiffness.K * wallStiffness.SignedOffsetFromCenterOfRigidity *
force.TotalT(LateralLevel.CenterOfRigidity) / LevelStiffness.J);
return(response);
}
public override void TrackingJob(double elapsed)
{
Point2D cameraPos = Camera.Position;
Vector2D cameraBearing = Camera.Bearing;
Point2D targetPos = Target.Position;
Vector2D currentLos = targetPos - cameraPos;
if (_PreviousCameraPos != null && _PreviousTargetPos != null)
{
Vector2D previousLos = _PreviousTargetPos - _PreviousCameraPos;
double LOS_rate = previousLos.AngleTo(currentLos) / (elapsed * 1000); // = rad par secondes
double PN = NAVIGATION_CONSTANT * LOS_rate;
double target2bearing = currentLos.AngleTo(cameraBearing);
double correction = BEARING_CORRECTION_CONSTANT * target2bearing;
double newAzimutSpeed = Math.Sign(target2bearing) * PN - correction;
NewTrackingKineticOutputComputed(newAzimutSpeed, 0);
}
_PreviousCameraPos = cameraPos;
_PreviousTargetPos = targetPos;
}
public Angle AngleTo()
{
return(P1.AngleTo(P2));
}