public Vector2Edge(Vector2X Start, Vector2X End, FortuneSite Left, FortuneSite Right)
{
start = Start;
end = End;
left = Left;
right = Right;
}
public void V2_Parse()
{
Vector2 result = Vector2X.Parse("3.5,-4.2");
result.X.Should().BeApproximately(3.5f, 1e-6f);
result.Y.Should().BeApproximately(-4.2f, 1e-6f);
}
public void V2_Equals()
{
Vector2 a = Vector2.UnitX;
Vector2 b = Vector2.UnitX * 1.000001f;
Vector2X.Equals(a, b, 0.0001f).Should().BeTrue();
}
internal override Vector2X[] adjustUVs(Vector2X[] uv, Vector2X[] result = null)
{
SubTextureX texture = this;
_transform2X.identity();
while (texture != null)
{
_transform2X = Transform2X.multiply(_transform2X, texture.transform);
texture = texture.parent as SubTextureX;
}
Vector2X item;
if (result == null)
{
result = new Vector2X[4];
}
for (int i = 0; i < 4; i++)
{
item = uv[i];
result[i] = _transform2X.transformVector(item);
}
return(result);
}
public void V2_ParseScientificNotation()
{
Vector2 result = Vector2X.Parse("-1.2e+12,2.4e-18");
result.X.Should().BeApproximately(-1.2e+12f, 1e-6f);
result.Y.Should().BeApproximately(2.4e-18f, 1e-6f);
}
public override DisplayObjectX hitTest(Vector2X localVector, bool forTouch = false)
{
if (forTouch && (visible == false || touchable == false))
{
return(null);
}
float localX = localVector.x;
float localY = localVector.y;
int numChildren = mChildren.Count;
DisplayObjectX child;
DisplayObjectX target;
Vector2X transformVector;
for (int i = numChildren - 1; i >= 0; --i) // front to back!
{
child = mChildren[i];
getTransformationMatrix(child, sHelperTransform);
transformVector = sHelperTransform.transformVector(localVector);
target = child.hitTest(transformVector);
if (target != null)
{
return(forTouch && mTouchGroup ? this : target);
}
}
return(null);
}
public void V2_RotateEquals()
{
Vector2 a = new Vector2(3, 4);
Vector2 b = a.RotateDegrees(90);
var expected = new Vector2(4, -3);
Vector2X.Equals(b, expected).Should().BeTrue();
}
public void updateMousePosition(Vector2X mousePos, Vector2X deltaPos)
{
_mouseX = (int)mousePos.x;
_mouseY = (int)mousePos.y;
_deltaMouseX = (int)deltaPos.x;
_deltaMouseY = (int)deltaPos.y;
//string message = string.Format("mx:{0},my:{1},dx:{2},dy:{3}", _mouseX, _mouseY, _deltaMouseX, _deltaMouseY);
//Debug.Log(message);
}
public void Line_SegmentIntersectionLowSymmetry()
{
var result = LineAlgorithms.LineSegmentIntersection(
new Vector2(704, 336), new Vector2(569, 299),
new Vector2(436, 218), new Vector2(446, 357));
result.Should().NotBeNull();
Vector2X.Equals(result.IntersectionPoint, new Vector2(439.269f, 263.444f), 1e-3f).Should().BeTrue(
"Intersection was not in correct position.");
}
//Point inside convex polygon
public static bool InsideConvex(List <Vector2X> polygon, Vector2X point)
{
//Check if a triangle or higher n-gon
if (polygon.Count < 3)
{
return(false);
}
//n>2 Keep track of cross product sign changes
var pos = 0;
var neg = 0;
for (var i = 0; i < polygon.Count; i++)
{
//If point is in the polygon
if (polygon[i] == point)
{
return(true);
}
//Form a segment between the i'th point
var x1 = polygon[i].value.x;
var y1 = polygon[i].value.y;
//And the i+1'th, or if i is the last, with the first point
var i2 = i < polygon.Count - 1 ? i + 1 : 0;
var x2 = polygon[i2].value.x;
var y2 = polygon[i2].value.y;
var x = point.value.x;
var y = point.value.y;
//Compute the cross product
var d = (x - x1) * (y2 - y1) - (y - y1) * (x2 - x1);
if (d > 0)
{
pos++;
}
if (d < 0)
{
neg++;
}
//If the sign changes, then point is outside
if (pos > 0 && neg > 0)
{
return(false);
}
}
//If no change in direction, then on same side of all segments, and thus inside
return(true);
}
private static void ProjectionTest(Vector2 v, Vector2 direction, Vector2 expected)
{
Vector2 result = v.ProjectionOn(direction);
var perp = v - result;
Vector2.Dot(direction, perp).Should().BeApproximately(0, 1e-5f);
Vector2X.Equals(result, expected).Should().BeTrue(
$"Projection of {v} on {direction} should yield {expected} but got {result} instead.");
}
public void StarBuild_SixPointedStarCenter()
{
var center = new Vector2(10, 12);
var star = new StarBuilder().BuildStar(6, 8, 4, center, 1);
star.Points.Count.Should().Be(12);
var avg = star.Points.Average();
Vector2X.Equals(center, avg, 1e-6f).Should().BeTrue($"Expected {center}, actual {avg}");
}
public void Poly_Rotate()
{
var a = RectangleX.FromLTRB(0, 0, 10, 5).ToPolygon();
var b = a.RotateDegrees(90, new Vector2(10, 5));
b.Count.Should().Be(4);
b.Any(x => Vector2X.Equals(x, new Vector2(5, 5), 1e-5f)).Should().BeTrue();
b.Any(x => Vector2X.Equals(x, new Vector2(10, 5), 1e-5f)).Should().BeTrue();
b.Any(x => Vector2X.Equals(x, new Vector2(10, 15), 1e-5f)).Should().BeTrue();
b.Any(x => Vector2X.Equals(x, new Vector2(5, 15), 1e-5f)).Should().BeTrue();
}
public void V2_FromPolar()
{
Vector2 a = Vector2X.FromPolar(1, MathF.PI * 0.5f);
Vector2 b = Vector2X.FromPolar(1, MathF.PI * 1.0f);
Vector2 c = Vector2X.FromPolar(1, MathF.PI * 1.5f);
Vector2 d = Vector2X.FromPolar(1, MathF.PI * 2.0f);
Vector2X.Equals(a, Vector2.UnitY, .000001f);
Vector2X.Equals(b, Vector2.UnitX, .000001f);
Vector2X.Equals(c, Vector2.UnitY, .000001f);
Vector2X.Equals(d, Vector2.UnitX, .000001f);
}
//Jitters a line segment of 2 Vector2
public static List <Vector2X> Jitter(Vector2X start, Vector2X end, int divisions, float magnitude)
{
//Create list and add start
List <Vector2X> jitter = new List <Vector2X>();
jitter.Add(start);
//Vector
float vecX = end.value.x - start.value.x;
float vecY = end.value.y - start.value.y;
//Distance of points
float distance = Mathf.Sqrt(vecX * vecX + vecY * vecY);
//Jitter distance
float jitterDistance = distance / divisions;
//Normalized Vector
float dirX = vecX / distance;
float dirY = vecY / distance;
//Perpendicular
float normalX = dirY;
float normalY = -dirX;
//Division step
float divisionX = dirX * jitterDistance;
float divisionY = dirY * jitterDistance;
//For each division
for (int i = 1; i < divisions; i++)
{
//Begin at first point
float finalX = start.value.x;
float finalY = start.value.y;
//Move N divisions
finalX += i * divisionX;
finalY += i * divisionY;
//Move randomly in perpendicular
finalX += UnityEngine.Random.Range(-magnitude, magnitude) * normalX;
finalY += UnityEngine.Random.Range(-magnitude, magnitude) * normalY;
//Add new point
jitter.Add(new Vector2X(finalX, finalY));
}
//Add last point
jitter.Add(end);
return(jitter);
}
public void Line_SegmentIntersectionHighSymmetry()
{
var result = LineAlgorithms.LineSegmentIntersection(
Vector2.UnitX,
-Vector2.UnitX,
Vector2.UnitY,
-Vector2.UnitY);
result.Should().NotBeNull();
result.U1.Should().BeApproximately(0.5f, 0.0001f);
result.U2.Should().BeApproximately(0.5f, 0.0001f);
Vector2X.Equals(Vector2.Zero, result.IntersectionPoint).Should().BeTrue("Lines should intersect at origin");
}
private Polygon ParsePolygon(string value)
{
var pointStrings = value.Split(' ');
Polygon result = new Polygon();
foreach (var pt in pointStrings)
{
result.Add(Vector2X.Parse(pt));
}
return(result);
}
//Point inside polygon (convex or concave)
public static bool PointInPolygon(List <Vector2X> poly, Vector2X point)
{
bool c = false;
int i, j;
for (i = 0, j = poly.Count - 1; i < poly.Count; j = i++)
{
if (((poly[i].value.y > point.value.y) != (poly[j].value.y > point.value.y)) && (point.value.x < (poly[j].value.x - poly[i].value.x) * (point.value.y - poly[i].value.y) / (poly[j].value.y - poly[i].value.y) + poly[i].value.x))
{
c = !c;
}
}
return(c);
}
private static Polygon RegularShape(float angle, int pointCount, float size)
{
float step = 2 * (float)Math.PI / pointCount;
Polygon result = new Polygon();
for (int i = 0; i < pointCount; i++)
{
result.Add(Vector2X.FromPolar(size, angle));
angle += step;
}
return(result);
}
public void CD_ContactPoint()
{
var pa = Diamond;
var pb = new RectangleF(0.9f, -1, 1, 2).ToPolygon();
var contactPoint = collider.FindConvexContactPoint(pa, pb);
contactPoint.FirstPolygon.Should().BeEquivalentTo(pa);
contactPoint.SecondPolygon.Should().BeEquivalentTo(pb);
Vector2X.Equals(new Vector2(0.1f, 0), contactPoint.PenetrationDepth, 1e-6f).Should().BeTrue(
$"Penetration depth failed. Expected (0.1, 0) but got {contactPoint.PenetrationDepth}.");
contactPoint.FirstPolygonContactPoint.Should().Be(new Vector2(1, 0));
contactPoint.SecondPolygonContactPoint.Should().Be(new Vector2(-0.5f, 0));
}
public void V2_ProjectionContract()
{
ProjectionTest(new Vector2(1, 0), new Vector2(1, 1), new Vector2(0.5f, 0.5f));
for (int i = 0; i < 360; i++)
{
const float radius = 2;
Vector2 v = Vector2X.FromPolarDegrees(radius, i);
Vector2 direction = new Vector2(1, 1);
direction.Normalize();
Vector2 expected = radius * MathF.Cos((i - 45) * MathF.PI / 180) * direction;
ProjectionTest(v, direction, expected);
}
}
public virtual DisplayObjectX hitTest(Vector2X localVector, bool forTouch = false)
{
if (!forTouch && (!mVisible || !mTouchable))
{
return(null);
}
// otherwise, check bounding box
if (getBounds(this).Contains(localVector))
{
return(this);
}
else
{
return(null);
}
}
protected void init(float w, float h)
{
vertices = new Vector3X[4];
translatorVertices = new Vector3X[4];
uvs = new Vector2X[4];
vertices[0] = new Vector3X(0, 0);
vertices[1] = new Vector3X(w, 0);
vertices[2] = new Vector3X(w, h);
vertices[3] = new Vector3X(0, h);
uvs[0] = new Vector2X(0, 0);
uvs[1] = new Vector2X(1, 0);
uvs[2] = new Vector2X(1, -1);
uvs[3] = new Vector2X(0, -1);
}
public ConstraintDerivative Derivative(PhysicalParticle particle, Tuple <PhysicalParticle, PhysicalParticle> pair)
{
var contactPoint = collider.FindConvexContactPoint(pair.Item1.TransformedPolygon, pair.Item2.TransformedPolygon);
if (contactPoint.Contact == false)
{
return(new ConstraintDerivative());
}
var firstParticle = particle == pair.Item1;
var sign = firstParticle ? -1 : 1;
var force = sign * contactPoint.FirstPolygonNormal;
var r = firstParticle ? contactPoint.FirstPolygonContactPoint : contactPoint.SecondPolygonContactPoint;
var torque = -Vector2X.Cross(r, force); // minus sign because r points from the center to the contact point instead of the other way.
return(new ConstraintDerivative(force.X, force.Y, torque));
}
public void CD_ContactPointGradual()
{
for (float d = 0.1f; d < 1; d += 0.05f)
{
var pa = new Polygon(Diamond.Points.Select(x => 10 * x));
var pb = new RectangleF(10 - d, -10, 10, 20).ToPolygon();
var contactPoint = collider.FindConvexContactPoint(pa, pb);
contactPoint.FirstPolygon.Should().BeEquivalentTo(pa);
contactPoint.SecondPolygon.Should().BeEquivalentTo(pb);
Vector2X.Equals(new Vector2(d, 0), contactPoint.PenetrationDepth, 1e-6f).Should().BeTrue($"Penetration depth test failed at {d}.");
Vector2X.Equals(new Vector2(10, 0), contactPoint.FirstPolygonContactPoint, 1e-6f).Should().BeTrue(
$"Contact point on diamond failed at {d}. Expected (10, 0) but got {contactPoint.FirstPolygonContactPoint}");
Vector2X.Equals(new Vector2(-5, 0), contactPoint.SecondPolygonContactPoint, 1e-6f).Should().BeTrue(
$"Contact point on rectangle failed at {d}. Expected (-5, 0) but got {contactPoint.SecondPolygonContactPoint}");
}
}
public void CD_GJK_EPA_GradualPenetrationDepth()
{
for (float d = 0.05f; d < 1; d += 0.05f)
{
var pa = new Polygon(Diamond.Points.Select(x => 10 * x));
var pb = new RectangleF(10 - d, -10, 10, 20).ToPolygon();
var gjk = new GilbertJohnsonKeerthiAlgorithm();
var simplex = gjk.FindMinkowskiSimplex(pa, pb);
var epa = new ExpandingPolytopeAlgorithm();
var pv = epa.PenetrationDepth(
v => GilbertJohnsonKeerthiAlgorithm.PolygonSupport(pa, v),
v => GilbertJohnsonKeerthiAlgorithm.PolygonSupport(pb, v),
simplex);
simplex.ContainsOrigin.Should().BeTrue($"Collision not detected by Minkowski simplex at {d}.");
Vector2X.Equals(new Vector2(d, 0), pv.Value, 1e-6f).Should().BeTrue($"Penetration depth test failed at {d}.");
}
}
/**
* 取得一个索引项的位置;
* @param i
*
*/
protected Vector2X getPosition(int i, bool hasBorder = true)
{
Vector2X point = new Vector2X();
if (_vertical)
{
if (_maxDirect == -1)
{
point.x = 0;
point.y = _itemBoundHeight * i;
}
else
{
point.x = (i / _maxDirect) * _itemBoundWidth;
point.y = (i % _maxDirect) * _itemBoundHeight;
}
}
else
{
if (_maxDirect == -1)
{
point.x = _itemBoundWidth * i;
point.y = 0;
}
else
{
point.y = (i / _maxDirect) * _itemBoundHeight;
point.x = (i % _maxDirect) * _itemBoundWidth;
}
}
if (hasBorder)
{
point.x += _border.left;
point.y += _border.top;
}
return(point);
}
private void touchHandle(EventX e)
{
Vector2X p = (Vector2X)e.data;
float stageX = p.x;
float stageY = p.y;
switch (e.type)
{
case MouseEventX.MOUSE_DOWN:
mx = mx0 = stageX;
my = my0 = stageY;
_stage = stage;
_stage.addEventListener(MouseEventX.MOUSE_MOVE, touchMoveHandle);
_stage.addEventListener(MouseEventX.MOUSE_UP, touchHandle);
break;
case MouseEventX.MOUSE_UP:
_stage.removeEventListener(MouseEventX.MOUSE_MOVE, touchMoveHandle);
_stage.removeEventListener(MouseEventX.MOUSE_UP, touchHandle);
if (_isDragging)
{
touchEnd(stageX - mx, stageY - my, stageX - mx0, stageY - my0);
if (hasEventListener(TouchEventX.TOUCH_END))
{
this.dispatchEvent(new TouchEventX(TouchEventX.TOUCH_END, stageX - mx, stageY - my, stageX - mx0, stageY - my0));
}
_isDragging = false;
CallLater.Add(touchEndHandle);
}
break;
}
}
private void touchMoveHandle(EventX e)
{
Vector2X p = (Vector2X)e.data;
float stageX = p.x;
float stageY = p.y;
float dx = stageX - mx0;
float dy = stageY - my0;
if (!_isDragging)
{
if (Math.Abs(dx) < draggingDistanceX || Math.Abs(dy) < draggingDistanceY || (dx * dx + dy * dy) < MIN_DISTANCE_SQ)
{
return;
}
_isDragging = true;
_draggingTarget = this;
CallLater.Remove(touchEndHandle);
touchStart(dx, dy);//这里面可能会有需求再变为不可拖;
if (hasEventListener(TouchEventX.TOUCH_START))
{
this.dispatchEvent(new TouchEventX(TouchEventX.TOUCH_START, 0, 0, dx, dy));
}
}
touchMoving(stageX - mx, stageY - my, dx, dy);
if (hasEventListener(TouchEventX.TOUCH_START))
{
this.dispatchEvent(new TouchEventX(TouchEventX.TOUCH_START, stageX - mx, stageY - my, dx, dy));
}
mx = stageX;
my = stageY;
}
public Vector2Edge(Vector2X Start, Vector2X End)
{
start = Start;
end = End;
}