LUCENE-8521: Change LatLonShape encoding to use selective indexing

This improvement changes LatLonShape encoding to 7 dimensions instead of 6. The first 4 are index dimensions defining the bounding box of the Triangle and the remaining 3 data dimensions define the vertices of the triangle.
This commit is contained in:
Nicholas Knize 2018-10-18 12:13:04 -05:00
parent 947f82679a
commit ed8a395948
6 changed files with 134 additions and 146 deletions

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@ -210,6 +210,12 @@ New Features
may be used to determine how to split the inner nodes, and dimensions N+1 to D
are ignored and stored as data dimensions at the leaves. (Nick Knize)
Improvements:
* LUCENE-8521: Change LatLonShape encoding to 7 dimensions instead of 6; where the
first 4 are index dimensions defining the bounding box of the Triangle and the
remaining 3 data dimensions define the vertices of the triangle. (Nick Knize)
Other:
* LUCENE-8523: Correct typo in JapaneseNumberFilterFactory javadocs (Ankush Jhalani

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@ -54,11 +54,11 @@ import static org.apache.lucene.geo.GeoEncodingUtils.encodeLongitude;
* @lucene.experimental
*/
public class LatLonShape {
public static final int BYTES = LatLonPoint.BYTES;
public static final int BYTES = 2 * LatLonPoint.BYTES;
protected static final FieldType TYPE = new FieldType();
static {
TYPE.setDimensions(6, BYTES);
TYPE.setDimensions(7, 4, BYTES);
TYPE.freeze();
}
@ -72,8 +72,7 @@ public class LatLonShape {
List<Triangle> tessellation = Tessellator.tessellate(polygon);
List<LatLonTriangle> fields = new ArrayList<>();
for (Triangle t : tessellation) {
fields.add(new LatLonTriangle(fieldName, t.getEncodedX(0), t.getEncodedY(0),
t.getEncodedX(1), t.getEncodedY(1), t.getEncodedX(2), t.getEncodedY(2)));
fields.add(new LatLonTriangle(fieldName, t));
}
return fields.toArray(new Field[fields.size()]);
}
@ -83,21 +82,14 @@ public class LatLonShape {
int numPoints = line.numPoints();
List<LatLonTriangle> fields = new ArrayList<>(numPoints - 1);
// encode the line vertices
int[] encodedLats = new int[numPoints];
int[] encodedLons = new int[numPoints];
for (int i = 0; i < numPoints; ++i) {
encodedLats[i] = encodeLatitude(line.getLat(i));
encodedLons[i] = encodeLongitude(line.getLon(i));
}
// create "flat" triangles
int aLat, bLat, aLon, bLon, temp;
double aLat, bLat, aLon, bLon, temp;
double size;
for (int i = 0, j = 1; j < numPoints; ++i, ++j) {
aLat = encodedLats[i];
aLon = encodedLons[i];
bLat = encodedLats[j];
bLon = encodedLons[j];
aLat = line.getLat(i);
aLon = line.getLon(i);
bLat = line.getLat(j);
bLon = line.getLon(j);
if (aLat > bLat) {
temp = aLat;
aLat = bLat;
@ -115,16 +107,15 @@ public class LatLonShape {
bLon = temp;
}
}
fields.add(new LatLonTriangle(fieldName, aLon, aLat, bLon, bLat, aLon, aLat));
size = StrictMath.sqrt(StrictMath.pow(aLat - bLat, 2d) + StrictMath.pow(aLon - bLon, 2d));
fields.add(new LatLonTriangle(fieldName, aLat, aLon, bLat, bLon, aLat, aLon, size));
}
return fields.toArray(new Field[fields.size()]);
}
/** create indexable fields for point geometry */
public static Field[] createIndexableFields(String fieldName, double lat, double lon) {
final int encodedLat = encodeLatitude(lat);
final int encodedLon = encodeLongitude(lon);
return new Field[] {new LatLonTriangle(fieldName, encodedLon, encodedLat, encodedLon, encodedLat, encodedLon, encodedLat)};
return new Field[] {new LatLonTriangle(fieldName, lat, lon, lat, lon, lat, lon, 0d)};
}
/** create a query to find all polygons that intersect a defined bounding box
@ -144,28 +135,60 @@ public class LatLonShape {
*/
private static class LatLonTriangle extends Field {
LatLonTriangle(String name, int ax, int ay, int bx, int by, int cx, int cy) {
LatLonTriangle(String name, double aLat, double aLon, double bLat, double bLon, double cLat, double cLon, double size) {
super(name, TYPE);
setTriangleValue(ax, ay, bx, by, cx, cy);
setTriangleValue(encodeLongitude(aLon), encodeLatitude(aLat), encodeLongitude(bLon), encodeLatitude(bLat), encodeLongitude(cLon), encodeLatitude(cLat));
}
LatLonTriangle(String name, Triangle t) {
super(name, TYPE);
setTriangleValue(t.getEncodedX(0), t.getEncodedY(0), t.getEncodedX(1), t.getEncodedY(1), t.getEncodedX(2), t.getEncodedY(2));
}
public void setTriangleValue(int aX, int aY, int bX, int bY, int cX, int cY) {
final byte[] bytes;
if (fieldsData == null) {
bytes = new byte[24];
bytes = new byte[7 * BYTES];
fieldsData = new BytesRef(bytes);
} else {
bytes = ((BytesRef) fieldsData).bytes;
}
NumericUtils.intToSortableBytes(aY, bytes, 0);
NumericUtils.intToSortableBytes(aX, bytes, BYTES);
NumericUtils.intToSortableBytes(bY, bytes, BYTES * 2);
NumericUtils.intToSortableBytes(bX, bytes, BYTES * 3);
NumericUtils.intToSortableBytes(cY, bytes, BYTES * 4);
NumericUtils.intToSortableBytes(cX, bytes, BYTES * 5);
int minX = StrictMath.min(aX, StrictMath.min(bX, cX));
int minY = StrictMath.min(aY, StrictMath.min(bY, cY));
int maxX = StrictMath.max(aX, StrictMath.max(bX, cX));
int maxY = StrictMath.max(aY, StrictMath.max(bY, cY));
encodeTriangle(bytes, minY, minX, maxY, maxX, aX, aY, bX, bY, cX, cY);
}
private void encodeTriangle(byte[] bytes, int minY, int minX, int maxY, int maxX, int aX, int aY, int bX, int bY, int cX, int cY) {
encodeTriangleBoxVal(minY, bytes, 0);
encodeTriangleBoxVal(minX, bytes, BYTES);
encodeTriangleBoxVal(maxY, bytes, 2 * BYTES);
encodeTriangleBoxVal(maxX, bytes, 3 * BYTES);
long a = (((long)aX) << 32) | (((long)aY) & 0x00000000FFFFFFFFL);
long b = (((long)bX) << 32) | (((long)bY) & 0x00000000FFFFFFFFL);
long c = (((long)cX) << 32) | (((long)cY) & 0x00000000FFFFFFFFL);
NumericUtils.longToSortableBytes(a, bytes, 4 * BYTES);
NumericUtils.longToSortableBytes(b, bytes, 5 * BYTES);
NumericUtils.longToSortableBytes(c, bytes, 6 * BYTES);
}
}
public static void encodeTriangleBoxVal(int encodedVal, byte[] bytes, int offset) {
long val = (long)(encodedVal ^ 0x80000000);
val &= 0x00000000FFFFFFFFL;
val ^= 0x8000000000000000L;
NumericUtils.longToSortableBytes(val, bytes, offset);
}
public static int decodeTriangleBoxVal(byte[] encoded, int offset) {
long val = NumericUtils.sortableBytesToLong(encoded, offset);
int result = (int)(val & 0x00000000FFFFFFFF);
return result ^ 0x80000000;
}
/** Query Relation Types **/

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@ -24,6 +24,7 @@ import org.apache.lucene.index.PointValues.Relation;
import org.apache.lucene.util.FutureArrays;
import org.apache.lucene.util.NumericUtils;
import static org.apache.lucene.document.LatLonShape.BYTES;
import static org.apache.lucene.geo.GeoEncodingUtils.decodeLatitude;
import static org.apache.lucene.geo.GeoEncodingUtils.decodeLongitude;
import static org.apache.lucene.geo.GeoEncodingUtils.encodeLatitude;
@ -52,32 +53,32 @@ final class LatLonShapeBoundingBoxQuery extends LatLonShapeQuery {
if (minLon > maxLon) {
throw new IllegalArgumentException("dateline crossing bounding box queries are not supported for [" + field + "]");
}
this.bbox = new byte[4 * LatLonPoint.BYTES];
this.bbox = new byte[4 * LatLonShape.BYTES];
this.minX = encodeLongitudeCeil(minLon);
this.maxX = encodeLongitude(maxLon);
this.minY = encodeLatitudeCeil(minLat);
this.maxY = encodeLatitude(maxLat);
NumericUtils.intToSortableBytes(this.minY, this.bbox, 0);
NumericUtils.intToSortableBytes(this.minX, this.bbox, LatLonPoint.BYTES);
NumericUtils.intToSortableBytes(this.maxY, this.bbox, 2 * LatLonPoint.BYTES);
NumericUtils.intToSortableBytes(this.maxX, this.bbox, 3 * LatLonPoint.BYTES);
LatLonShape.encodeTriangleBoxVal(this.minY, bbox, 0);
LatLonShape.encodeTriangleBoxVal(this.minX, bbox, BYTES);
LatLonShape.encodeTriangleBoxVal(this.maxY, bbox, 2 * BYTES);
LatLonShape.encodeTriangleBoxVal(this.maxX, bbox, 3 * BYTES);
}
@Override
protected Relation relateRangeBBoxToQuery(int minXOffset, int minYOffset, byte[] minTriangle,
int maxXOffset, int maxYOffset, byte[] maxTriangle) {
// check bounding box (DISJOINT)
if (FutureArrays.compareUnsigned(minTriangle, minXOffset, minXOffset + LatLonPoint.BYTES, bbox, 3 * LatLonPoint.BYTES, 4 * LatLonPoint.BYTES) > 0 ||
FutureArrays.compareUnsigned(maxTriangle, maxXOffset, maxXOffset + LatLonPoint.BYTES, bbox, LatLonPoint.BYTES, 2 * LatLonPoint.BYTES) < 0 ||
FutureArrays.compareUnsigned(minTriangle, minYOffset, minYOffset + LatLonPoint.BYTES, bbox, 2 * LatLonPoint.BYTES, 3 * LatLonPoint.BYTES) > 0 ||
FutureArrays.compareUnsigned(maxTriangle, maxYOffset, maxYOffset + LatLonPoint.BYTES, bbox, 0, LatLonPoint.BYTES) < 0) {
if (FutureArrays.compareUnsigned(minTriangle, minXOffset, minXOffset + BYTES, bbox, 3 * BYTES, 4 * BYTES) > 0 ||
FutureArrays.compareUnsigned(maxTriangle, maxXOffset, maxXOffset + BYTES, bbox, BYTES, 2 * BYTES) < 0 ||
FutureArrays.compareUnsigned(minTriangle, minYOffset, minYOffset + BYTES, bbox, 2 * BYTES, 3 * BYTES) > 0 ||
FutureArrays.compareUnsigned(maxTriangle, maxYOffset, maxYOffset + BYTES, bbox, 0, BYTES) < 0) {
return Relation.CELL_OUTSIDE_QUERY;
}
if (FutureArrays.compareUnsigned(minTriangle, minXOffset, minXOffset + LatLonPoint.BYTES, bbox, LatLonPoint.BYTES, 2 * LatLonPoint.BYTES) > 0 &&
FutureArrays.compareUnsigned(maxTriangle, maxXOffset, maxXOffset + LatLonPoint.BYTES, bbox, 3 * LatLonPoint.BYTES, 4 * LatLonPoint.BYTES) < 0 &&
FutureArrays.compareUnsigned(minTriangle, minYOffset, minYOffset + LatLonPoint.BYTES, bbox, 0, LatLonPoint.BYTES) > 0 &&
FutureArrays.compareUnsigned(maxTriangle, maxYOffset, maxYOffset + LatLonPoint.BYTES, bbox, 2 * LatLonPoint.BYTES, 2 * LatLonPoint.BYTES) < 0) {
if (FutureArrays.compareUnsigned(minTriangle, minXOffset, minXOffset + BYTES, bbox, BYTES, 2 * BYTES) >= 0 &&
FutureArrays.compareUnsigned(maxTriangle, maxXOffset, maxXOffset + BYTES, bbox, 3 * BYTES, 4 * BYTES) <= 0 &&
FutureArrays.compareUnsigned(minTriangle, minYOffset, minYOffset + BYTES, bbox, 0, BYTES) >= 0 &&
FutureArrays.compareUnsigned(maxTriangle, maxYOffset, maxYOffset + BYTES, bbox, 2 * BYTES, 3 * BYTES) <= 0) {
return Relation.CELL_INSIDE_QUERY;
}
return Relation.CELL_CROSSES_QUERY;
@ -86,27 +87,37 @@ final class LatLonShapeBoundingBoxQuery extends LatLonShapeQuery {
/** returns true if the query matches the encoded triangle */
@Override
protected boolean queryMatches(byte[] t) {
long a = NumericUtils.sortableBytesToLong(t, 4 * LatLonShape.BYTES);
long b = NumericUtils.sortableBytesToLong(t, 5 * LatLonShape.BYTES);
long c = NumericUtils.sortableBytesToLong(t, 6 * LatLonShape.BYTES);
int aX = (int)((a >>> 32) & 0x00000000FFFFFFFFL);
int bX = (int)((b >>> 32) & 0x00000000FFFFFFFFL);
int cX = (int)((c >>> 32) & 0x00000000FFFFFFFFL);
int aY = (int)(a & 0x00000000FFFFFFFFL);
int bY = (int)(b & 0x00000000FFFFFFFFL);
int cY = (int)(c & 0x00000000FFFFFFFFL);
if (queryRelation == LatLonShape.QueryRelation.WITHIN) {
return queryContains(t, 0) && queryContains(t, 1) && queryContains(t, 2);
return queryContains(aX, aY) && queryContains(bX, bY) && queryContains(cX, cY);
}
return queryIntersects(t);
return queryMatches(aX, aY, bX, bY, cX, cY);
}
/** returns true if the query intersects the encoded triangle */
protected boolean queryIntersects(byte[] t) {
private boolean queryContains(int x, int y) {
return (x < minX || x > maxX || y < minY || y > maxY) == false;
}
private boolean queryContains(int ax, int ay, int bx, int by, int cx, int cy) {
return queryContains(ax, ay) || queryContains(bx, by) || queryContains(cx, cy);
}
protected boolean queryMatches(int aX, int aY, int bX, int bY, int cX, int cY) {
// 1. query contains any triangle points
if (queryContains(t, 0) || queryContains(t, 1) || queryContains(t, 2)) {
if (queryContains(aX, aY, bX, bY, cX, cY)) {
return true;
}
int aY = NumericUtils.sortableBytesToInt(t, 0);
int aX = NumericUtils.sortableBytesToInt(t, LatLonPoint.BYTES);
int bY = NumericUtils.sortableBytesToInt(t, 2 * LatLonPoint.BYTES);
int bX = NumericUtils.sortableBytesToInt(t, 3 * LatLonPoint.BYTES);
int cY = NumericUtils.sortableBytesToInt(t, 4 * LatLonPoint.BYTES);
int cX = NumericUtils.sortableBytesToInt(t, 5 * LatLonPoint.BYTES);
int tMinX = StrictMath.min(StrictMath.min(aX, bX), cX);
int tMaxX = StrictMath.max(StrictMath.max(aX, bX), cX);
int tMinY = StrictMath.min(StrictMath.min(aY, bY), cY);
@ -164,20 +175,6 @@ final class LatLonShapeBoundingBoxQuery extends LatLonShapeQuery {
return false;
}
/** returns true if the query contains the triangle vertex */
private boolean queryContains(byte[] t, int point) {
final int yIdx = 2 * LatLonPoint.BYTES * point;
final int xIdx = yIdx + LatLonPoint.BYTES;
if (FutureArrays.compareUnsigned(t, yIdx, xIdx, bbox, 0, LatLonPoint.BYTES) < 0 || //minY
FutureArrays.compareUnsigned(t, yIdx, xIdx, bbox, 2 * LatLonPoint.BYTES, 3 * LatLonPoint.BYTES) > 0 || //maxY
FutureArrays.compareUnsigned(t, xIdx, xIdx + LatLonPoint.BYTES, bbox, LatLonPoint.BYTES, 2 * LatLonPoint.BYTES) < 0 || // minX
FutureArrays.compareUnsigned(t, xIdx, xIdx + LatLonPoint.BYTES, bbox, 3 * LatLonPoint.BYTES, bbox.length) > 0) {
return false;
}
return true;
}
/** returns true if the query intersects the provided triangle (in encoded space) */
private boolean queryIntersects(int ax, int ay, int bx, int by, int cx, int cy) {
// check each edge of the triangle against the query

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@ -23,6 +23,7 @@ import org.apache.lucene.geo.GeoEncodingUtils;
import org.apache.lucene.geo.Polygon;
import org.apache.lucene.geo.Polygon2D;
import org.apache.lucene.index.PointValues.Relation;
import org.apache.lucene.util.NumericUtils;
/**
* Finds all previously indexed shapes that intersect the specified arbitrary.
@ -61,29 +62,40 @@ final class LatLonShapePolygonQuery extends LatLonShapeQuery {
@Override
protected Relation relateRangeBBoxToQuery(int minXOffset, int minYOffset, byte[] minTriangle,
int maxXOffset, int maxYOffset, byte[] maxTriangle) {
double minLat = GeoEncodingUtils.decodeLatitude(minTriangle, minYOffset);
double minLon = GeoEncodingUtils.decodeLongitude(minTriangle, minXOffset);
double maxLat = GeoEncodingUtils.decodeLatitude(maxTriangle, maxYOffset);
double maxLon = GeoEncodingUtils.decodeLongitude(maxTriangle, maxXOffset);
double minLat = GeoEncodingUtils.decodeLatitude(LatLonShape.decodeTriangleBoxVal(minTriangle, minYOffset));
double minLon = GeoEncodingUtils.decodeLongitude(LatLonShape.decodeTriangleBoxVal(minTriangle, minXOffset));
double maxLat = GeoEncodingUtils.decodeLatitude(LatLonShape.decodeTriangleBoxVal(maxTriangle, maxYOffset));
double maxLon = GeoEncodingUtils.decodeLongitude(LatLonShape.decodeTriangleBoxVal(maxTriangle, maxXOffset));
// check internal node against query
return poly2D.relate(minLat, maxLat, minLon, maxLon);
}
@Override
protected boolean queryMatches(byte[] triangle) {
double ay = GeoEncodingUtils.decodeLatitude(triangle, 0);
double ax = GeoEncodingUtils.decodeLongitude(triangle, LatLonPoint.BYTES);
double by = GeoEncodingUtils.decodeLatitude(triangle, 2 * LatLonPoint.BYTES);
double bx = GeoEncodingUtils.decodeLongitude(triangle, 3 * LatLonPoint.BYTES);
double cy = GeoEncodingUtils.decodeLatitude(triangle, 4 * LatLonPoint.BYTES);
double cx = GeoEncodingUtils.decodeLongitude(triangle, 5 * LatLonPoint.BYTES);
protected boolean queryMatches(byte[] t) {
long a = NumericUtils.sortableBytesToLong(t, 4 * LatLonShape.BYTES);
long b = NumericUtils.sortableBytesToLong(t, 5 * LatLonShape.BYTES);
long c = NumericUtils.sortableBytesToLong(t, 6 * LatLonShape.BYTES);
int aX = (int)((a >>> 32) & 0x00000000FFFFFFFFL);
int bX = (int)((b >>> 32) & 0x00000000FFFFFFFFL);
int cX = (int)((c >>> 32) & 0x00000000FFFFFFFFL);
int aY = (int)(a & 0x00000000FFFFFFFFL);
int bY = (int)(b & 0x00000000FFFFFFFFL);
int cY = (int)(c & 0x00000000FFFFFFFFL);
double alat = GeoEncodingUtils.decodeLatitude(aY);
double alon = GeoEncodingUtils.decodeLongitude(aX);
double blat = GeoEncodingUtils.decodeLatitude(bY);
double blon = GeoEncodingUtils.decodeLongitude(bX);
double clat = GeoEncodingUtils.decodeLatitude(cY);
double clon = GeoEncodingUtils.decodeLongitude(cX);
if (queryRelation == QueryRelation.WITHIN) {
return poly2D.relateTriangle(ax, ay, bx, by, cx, cy) == Relation.CELL_INSIDE_QUERY;
return poly2D.relateTriangle(alon, alat, blon, blat, clon, clat) == Relation.CELL_INSIDE_QUERY;
}
// INTERSECTS
return poly2D.relateTriangle(ax, ay, bx, by, cx, cy) != Relation.CELL_OUTSIDE_QUERY;
return poly2D.relateTriangle(alon, alat, blon, blat, clon, clat) != Relation.CELL_OUTSIDE_QUERY;
}
@Override

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@ -38,7 +38,6 @@ import org.apache.lucene.search.Weight;
import org.apache.lucene.util.BitSetIterator;
import org.apache.lucene.util.DocIdSetBuilder;
import org.apache.lucene.util.FixedBitSet;
import org.apache.lucene.util.FutureArrays;
/**
* Base LatLonShape Query class providing common query logic for
@ -79,41 +78,7 @@ abstract class LatLonShapeQuery extends Query {
/** relates a range of triangles (internal node) to the query */
protected Relation relateRangeToQuery(byte[] minTriangle, byte[] maxTriangle) {
// compute bounding box of internal node
int minXOfs = 0;
int minYOfs = 0;
int maxXOfs = 0;
int maxYOfs = 0;
for (int d = 1; d < 3; ++d) {
// check minX
int aOfs = (minXOfs * 2 * LatLonPoint.BYTES) + LatLonPoint.BYTES;
int bOfs = (d * 2 * LatLonPoint.BYTES) + LatLonPoint.BYTES;
if (FutureArrays.compareUnsigned(minTriangle, bOfs, bOfs + LatLonPoint.BYTES, minTriangle, aOfs, aOfs + LatLonPoint.BYTES) < 0) {
minXOfs = d;
}
// check maxX
aOfs = (maxXOfs * 2 * LatLonPoint.BYTES) + LatLonPoint.BYTES;
if (FutureArrays.compareUnsigned(maxTriangle, bOfs, bOfs + LatLonPoint.BYTES, maxTriangle, aOfs, aOfs + LatLonPoint.BYTES) > 0) {
maxXOfs = d;
}
// check minY
aOfs = minYOfs * 2 * LatLonPoint.BYTES;
bOfs = d * 2 * LatLonPoint.BYTES;
if (FutureArrays.compareUnsigned(minTriangle, bOfs, bOfs + LatLonPoint.BYTES, minTriangle, aOfs, aOfs + LatLonPoint.BYTES) < 0) {
minYOfs = d;
}
// check maxY
aOfs = maxYOfs * 2 * LatLonPoint.BYTES;
if (FutureArrays.compareUnsigned(maxTriangle, bOfs, bOfs + LatLonPoint.BYTES, maxTriangle, aOfs, aOfs + LatLonPoint.BYTES) > 0) {
maxYOfs = d;
}
}
minXOfs = (minXOfs * 2 * LatLonPoint.BYTES) + LatLonPoint.BYTES;
maxXOfs = (maxXOfs * 2 * LatLonPoint.BYTES) + LatLonPoint.BYTES;
minYOfs *= 2 * LatLonPoint.BYTES;
maxYOfs *= 2 * LatLonPoint.BYTES;
Relation r = relateRangeBBoxToQuery(minXOfs, minYOfs, minTriangle, maxXOfs, maxYOfs, maxTriangle);
Relation r = relateRangeBBoxToQuery(LatLonShape.BYTES, 0, minTriangle, 3 * LatLonShape.BYTES, 2 * LatLonShape.BYTES, maxTriangle);
if (queryRelation == QueryRelation.DISJOINT) {
return transposeRelation(r);
}

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@ -17,6 +17,7 @@
package org.apache.lucene.geo;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import org.apache.lucene.geo.GeoUtils.WindingOrder;
@ -819,13 +820,17 @@ final public class Tessellator {
}
/** compare nodes by y then x */
public int compare(Node other) {
if (this.getLat() > other.getLat()) {
public int compareLat(Node other) {
return compare(this.getLat(), this.getLon(), other.getLat(), other.getLon());
}
public int compare(double aX, double aY, double bX, double bY) {
if (aX > bX) {
return 1;
} else if (this.getLat() == other.getLat()) {
if (this.getLon() > other.getLon()) {
} else if (aX == bX) {
if (aY > bY) {
return 1;
} else if (this.getLon() == other.getLon()) {
} else if (aY == bY) {
return 0;
}
}
@ -850,32 +855,12 @@ final public class Tessellator {
/** Triangle in the tessellated mesh */
public final static class Triangle {
Node[] vertex = new Node[3];
Node[] vertex;
protected Triangle(Node a, Node b, Node c) {
this.vertex = new Node[] {a, b, c};
// sort nodes by morton value
Node tA = a;
Node tB = b;
Node tC = c;
Node temp;
if (a.compare(b) > 0) {
temp = tA;
tA = tB;
tB = temp;
}
if (b.compare(c) > 0) {
temp = tB;
tB = tC;
tC = temp;
}
if (a.compare(b) > 0) {
temp = tA;
tA = tB;
tB = temp;
}
this.vertex[0] = tA;
this.vertex[1] = tB;
this.vertex[2] = tC;
Arrays.sort(this.vertex, (x, y) -> x.compareLat(y));
}
/** get quantized x value for the given vertex */