196 lines
6.9 KiB
C#
196 lines
6.9 KiB
C#
// -----------------------------------------------------------------------
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// <copyright file="BadTriQueue.cs">
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// Original Triangle code by Jonathan Richard Shewchuk, http://www.cs.cmu.edu/~quake/triangle.html
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// Triangle.NET code by Christian Woltering, http://triangle.codeplex.com/
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// </copyright>
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// -----------------------------------------------------------------------
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namespace UnityEngine.U2D.Animation.TriangleNet
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.Meshing.Data
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{
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using Animation.TriangleNet.Geometry;
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using Animation.TriangleNet.Topology;
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/// <summary>
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/// A (priority) queue for bad triangles.
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/// </summary>
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/// <remarks>
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// The queue is actually a set of 4096 queues. I use multiple queues to
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// give priority to smaller angles. I originally implemented a heap, but
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// the queues are faster by a larger margin than I'd suspected.
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/// </remarks>
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class BadTriQueue
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{
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const double SQRT2 = 1.4142135623730950488016887242096980785696718753769480732;
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public int Count { get { return this.count; } }
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// Variables that maintain the bad triangle queues. The queues are
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// ordered from 4095 (highest priority) to 0 (lowest priority).
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BadTriangle[] queuefront;
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BadTriangle[] queuetail;
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int[] nextnonemptyq;
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int firstnonemptyq;
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int count;
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public BadTriQueue()
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{
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queuefront = new BadTriangle[4096];
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queuetail = new BadTriangle[4096];
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nextnonemptyq = new int[4096];
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firstnonemptyq = -1;
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count = 0;
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}
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/// <summary>
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/// Add a bad triangle data structure to the end of a queue.
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/// </summary>
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/// <param name="badtri">The bad triangle to enqueue.</param>
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public void Enqueue(BadTriangle badtri)
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{
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double length, multiplier;
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int exponent, expincrement;
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int queuenumber;
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int posexponent;
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int i;
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this.count++;
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// Determine the appropriate queue to put the bad triangle into.
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// Recall that the key is the square of its shortest edge length.
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if (badtri.key >= 1.0)
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{
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length = badtri.key;
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posexponent = 1;
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}
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else
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{
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// 'badtri.key' is 2.0 to a negative exponent, so we'll record that
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// fact and use the reciprocal of 'badtri.key', which is > 1.0.
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length = 1.0 / badtri.key;
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posexponent = 0;
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}
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// 'length' is approximately 2.0 to what exponent? The following code
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// determines the answer in time logarithmic in the exponent.
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exponent = 0;
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while (length > 2.0)
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{
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// Find an approximation by repeated squaring of two.
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expincrement = 1;
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multiplier = 0.5;
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while (length * multiplier * multiplier > 1.0)
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{
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expincrement *= 2;
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multiplier *= multiplier;
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}
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// Reduce the value of 'length', then iterate if necessary.
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exponent += expincrement;
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length *= multiplier;
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}
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// 'length' is approximately squareroot(2.0) to what exponent?
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exponent = 2 * exponent + (length > SQRT2 ? 1 : 0);
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// 'exponent' is now in the range 0...2047 for IEEE double precision.
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// Choose a queue in the range 0...4095. The shortest edges have the
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// highest priority (queue 4095).
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if (posexponent > 0)
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{
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queuenumber = 2047 - exponent;
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}
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else
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{
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queuenumber = 2048 + exponent;
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}
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// Are we inserting into an empty queue?
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if (queuefront[queuenumber] == null)
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{
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// Yes, we are inserting into an empty queue.
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// Will this become the highest-priority queue?
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if (queuenumber > firstnonemptyq)
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{
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// Yes, this is the highest-priority queue.
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nextnonemptyq[queuenumber] = firstnonemptyq;
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firstnonemptyq = queuenumber;
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}
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else
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{
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// No, this is not the highest-priority queue.
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// Find the queue with next higher priority.
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i = queuenumber + 1;
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while (queuefront[i] == null)
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{
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i++;
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}
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// Mark the newly nonempty queue as following a higher-priority queue.
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nextnonemptyq[queuenumber] = nextnonemptyq[i];
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nextnonemptyq[i] = queuenumber;
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}
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// Put the bad triangle at the beginning of the (empty) queue.
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queuefront[queuenumber] = badtri;
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}
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else
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{
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// Add the bad triangle to the end of an already nonempty queue.
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queuetail[queuenumber].next = badtri;
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}
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// Maintain a pointer to the last triangle of the queue.
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queuetail[queuenumber] = badtri;
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// Newly enqueued bad triangle has no successor in the queue.
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badtri.next = null;
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}
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/// <summary>
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/// Add a bad triangle to the end of a queue.
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/// </summary>
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/// <param name="enqtri"></param>
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/// <param name="minedge"></param>
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/// <param name="apex"></param>
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/// <param name="org"></param>
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/// <param name="dest"></param>
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public void Enqueue(ref Otri enqtri, double minedge, Vertex apex, Vertex org, Vertex dest)
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{
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// Allocate space for the bad triangle.
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BadTriangle newbad = new BadTriangle();
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newbad.poortri = enqtri;
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newbad.key = minedge;
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newbad.apex = apex;
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newbad.org = org;
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newbad.dest = dest;
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Enqueue(newbad);
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}
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/// <summary>
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/// Remove a triangle from the front of the queue.
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/// </summary>
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/// <returns></returns>
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public BadTriangle Dequeue()
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{
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// If no queues are nonempty, return NULL.
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if (firstnonemptyq < 0)
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{
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return null;
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}
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this.count--;
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// Find the first triangle of the highest-priority queue.
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BadTriangle result = queuefront[firstnonemptyq];
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// Remove the triangle from the queue.
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queuefront[firstnonemptyq] = result.next;
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// If this queue is now empty, note the new highest-priority
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// nonempty queue.
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if (result == queuetail[firstnonemptyq])
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{
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firstnonemptyq = nextnonemptyq[firstnonemptyq];
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}
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return result;
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}
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}
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}
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