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fixed legalization bug
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8c7b86d715
commit
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@ -126,7 +126,7 @@ class CDT(val points: List[Point], val segments: List[Segment], iTriangle: Trian
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// Implement sweep-line
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// Implement sweep-line
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private def sweep {
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private def sweep {
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//var cTri: Triangle = null
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//var cTri: Triangle = null
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for(i <- 1 until 15 /*points.size*/) {
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for(i <- 1 until points.size) {
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val point = points(i)
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val point = points(i)
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// Process Point event
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// Process Point event
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var triangle: Triangle = null
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var triangle: Triangle = null
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@ -149,9 +149,6 @@ class CDT(val points: List[Point], val segments: List[Segment], iTriangle: Trian
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val node = aFront.locate(point)
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val node = aFront.locate(point)
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// Avoid triangles that are almost collinear
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if(!Util.collinear(point, node.point, node.next.point)) {
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// Projected point coincides with existing point; create two triangles
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// Projected point coincides with existing point; create two triangles
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if(point.x == node.point.x && node.prev != null) {
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if(point.x == node.point.x && node.prev != null) {
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@ -217,11 +214,6 @@ class CDT(val points: List[Point], val segments: List[Segment], iTriangle: Trian
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scanAFront(newNode)
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scanAFront(newNode)
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newNode.triangle
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newNode.triangle
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}
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}
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} else {
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println("bad triangle")
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null
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}
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}
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}
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// EdgeEvent
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// EdgeEvent
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@ -412,9 +404,10 @@ class CDT(val points: List[Point], val segments: List[Segment], iTriangle: Trian
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val sinA = v1 cross v2
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val sinA = v1 cross v2
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val sinB = v3 cross v4
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val sinB = v3 cross v4
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//println((cosA*sinB + sinA*cosB))
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// Some small number
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// Small negative number to prevent swapping
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if((cosA*sinB + sinA*cosB) < -10f)
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// in nearly neutral cases
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if((cosA*sinB + sinA*cosB) < -0.01f)
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true
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true
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else
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else
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false
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false
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@ -426,7 +419,15 @@ class CDT(val points: List[Point], val segments: List[Segment], iTriangle: Trian
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val oPoint = t2 oppositePoint t1
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val oPoint = t2 oppositePoint t1
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if(illegal(t1.points(1), oPoint, t1.points(2), t1.points(0))) {
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// Prevent creation of collinear traingles
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val c1 = Util.collinear(t1.points(0), t1.points(1), oPoint)
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val c2 = Util.collinear(t2.points(0), t2.points(1), oPoint)
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val c3 = Util.collinear(t2.points(1), t2.points(2), oPoint)
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val c4 = Util.collinear(t2.points(0), t2.points(2), oPoint)
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val collinear = !(c1 && c2 && c3 && c4)
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if(illegal(t1.points(1), oPoint, t1.points(2), t1.points(0)) && !collinear) {
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println("legalize")
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println("legalize")
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// Update neighbor pointers
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// Update neighbor pointers
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val ccwNeighbor = t2.neighborCCW(oPoint)
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val ccwNeighbor = t2.neighborCCW(oPoint)
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@ -45,7 +45,7 @@ class Triangle(val points: Array[Point], val neighbors: Array[Triangle]) {
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var clean = false
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var clean = false
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// Update neighbor pointers
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// Update neighbor pointers
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def updateNeighbors(ccwPoint: Point, cwPoint: Point, triangle: Triangle, mesh: HashSet[Triangle]) {
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def updateNeighbors(ccwPoint: Point, cwPoint: Point, triangle: Triangle, debug: HashSet[Triangle]) {
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if((ccwPoint == points(2) && cwPoint == points(1)) || (ccwPoint == points(1) && cwPoint == points(2)))
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if((ccwPoint == points(2) && cwPoint == points(1)) || (ccwPoint == points(1) && cwPoint == points(2)))
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neighbors(0) = triangle
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neighbors(0) = triangle
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else if((ccwPoint == points(0) && cwPoint == points(2)) || (ccwPoint == points(2) && cwPoint == points(0)))
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else if((ccwPoint == points(0) && cwPoint == points(2)) || (ccwPoint == points(2) && cwPoint == points(0)))
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@ -53,9 +53,7 @@ class Triangle(val points: Array[Point], val neighbors: Array[Triangle]) {
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else if((ccwPoint == points(0) && cwPoint == points(1)) || (ccwPoint == points(1) && cwPoint == points(0)))
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else if((ccwPoint == points(0) && cwPoint == points(1)) || (ccwPoint == points(1) && cwPoint == points(0)))
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neighbors(2) = triangle
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neighbors(2) = triangle
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else {
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else {
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mesh += triangle
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debug += triangle
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println(ccwPoint + "," + cwPoint)
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printDebug
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throw new Exception("Neighbor update error")
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throw new Exception("Neighbor update error")
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}
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}
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}
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}
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@ -7,7 +7,8 @@ import shapes.Point
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object Util {
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object Util {
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val COLLINEAR_SLOP = 10f
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// Almost zero
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val COLLINEAR_SLOP = 0.1f
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// From "Scala By Example," by Martin Odersky
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// From "Scala By Example," by Martin Odersky
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def msort[A](less: (A, A) => Boolean)(xs: List[A]): List[A] = {
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def msort[A](less: (A, A) => Boolean)(xs: List[A]): List[A] = {
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@ -39,23 +40,18 @@ object Util {
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// Tests if the given points are collinear
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// Tests if the given points are collinear
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def collinear(p1: Point, p2: Point, p3: Point): Boolean = {
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def collinear(p1: Point, p2: Point, p3: Point): Boolean = {
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// 3x3 matrix
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// 3x2 matrix
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val a11 = p1.x
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val a11 = p1.x
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val a12 = p1.y
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val a12 = p1.y
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val a13 = 1f
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val a21 = p2.x
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val a21 = p2.x
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val a22 = p2.y
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val a22 = p2.y
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val a23 = 1f
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val a31 = p3.x
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val a31 = p3.x
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val a32 = p3.y
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val a32 = p3.y
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val a33 = 1f
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// Determinant
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// Determinant
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val d = a11*(a22*a33 - a32*a23) - a12*(a21*a33-a31*a23) + a13*(a21*a32-a31*a22)
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val d = a11*(a22-a32) - a12*(a21-a31) + (a21*a32-a31*a22)
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println("Determinant = " + d)
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if(Math.abs(d) <= COLLINEAR_SLOP) {
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if(d <= COLLINEAR_SLOP) {
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true
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true
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} else {
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} else {
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false
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false
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