Mirror von
https://github.com/IntellectualSites/FastAsyncWorldEdit.git
synchronisiert 2024-12-24 18:10:08 +01:00
Merge pull request #275 from sk89q/linecurve
//line and //curve by @orthoplex64
Dieser Commit ist enthalten in:
Albert Pham
Commit
60f6580553
@ -41,6 +41,9 @@ import com.sk89q.worldedit.blocks.BlockType;
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import com.sk89q.worldedit.expression.Expression;
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import com.sk89q.worldedit.expression.ExpressionException;
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import com.sk89q.worldedit.expression.runtime.RValue;
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import com.sk89q.worldedit.interpolation.Interpolation;
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import com.sk89q.worldedit.interpolation.KochanekBartelsInterpolation;
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import com.sk89q.worldedit.interpolation.Node;
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import com.sk89q.worldedit.masks.Mask;
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import com.sk89q.worldedit.patterns.Pattern;
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import com.sk89q.worldedit.regions.CuboidRegion;
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@ -2996,6 +2999,177 @@ public class EditSession {
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return affected;
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}
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/**
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* Draws a line (out of blocks) between two vectors.
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*
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* @param pattern The block pattern used to draw the line.
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* @param pos1 One of the points that define the line.
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* @param pos2 The other point that defines the line.
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* @param radius The radius (thickness) of the line.
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* @param filled If false, only a shell will be generated.
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*
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* @return number of blocks affected
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* @throws MaxChangedBlocksException
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*/
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public int drawLine(Pattern pattern, Vector pos1, Vector pos2, double radius, boolean filled)
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throws MaxChangedBlocksException {
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Set<Vector> vset = new HashSet<Vector>();
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boolean notdrawn = true;
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int x1 = pos1.getBlockX(), y1 = pos1.getBlockY(), z1 = pos1.getBlockZ();
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int x2 = pos2.getBlockX(), y2 = pos2.getBlockY(), z2 = pos2.getBlockZ();
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int tipx = x1, tipy = y1, tipz = z1;
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int dx = Math.abs(x2 - x1), dy = Math.abs(y2 - y1), dz = Math.abs(z2 - z1);
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if (dx + dy + dz == 0) {
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vset.add(new Vector(tipx, tipy, tipz));
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notdrawn = false;
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}
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if (Math.max(Math.max(dx, dy), dz) == dx && notdrawn) {
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for (int domstep = 0; domstep <= dx; domstep++) {
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tipx = x1 + domstep * (x2 - x1 > 0 ? 1 : -1);
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tipy = (int) Math.round(y1 + domstep * ((double) dy) / ((double) dx) * (y2 - y1 > 0 ? 1 : -1));
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tipz = (int) Math.round(z1 + domstep * ((double) dz) / ((double) dx) * (z2 - z1 > 0 ? 1 : -1));
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vset.add(new Vector(tipx, tipy, tipz));
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}
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notdrawn = false;
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}
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if (Math.max(Math.max(dx, dy), dz) == dy && notdrawn) {
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for (int domstep = 0; domstep <= dy; domstep++) {
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tipy = y1 + domstep * (y2 - y1 > 0 ? 1 : -1);
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tipx = (int) Math.round(x1 + domstep * ((double) dx) / ((double) dy) * (x2 - x1 > 0 ? 1 : -1));
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tipz = (int) Math.round(z1 + domstep * ((double) dz) / ((double) dy) * (z2 - z1 > 0 ? 1 : -1));
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vset.add(new Vector(tipx, tipy, tipz));
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}
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notdrawn = false;
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}
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if (Math.max(Math.max(dx, dy), dz) == dz && notdrawn) {
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for (int domstep = 0; domstep <= dz; domstep++) {
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tipz = z1 + domstep * (z2 - z1 > 0 ? 1 : -1);
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tipy = (int) Math.round(y1 + domstep * ((double) dy) / ((double) dz) * (y2-y1>0 ? 1 : -1));
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tipx = (int) Math.round(x1 + domstep * ((double) dx) / ((double) dz) * (x2-x1>0 ? 1 : -1));
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vset.add(new Vector(tipx, tipy, tipz));
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}
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notdrawn = false;
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}
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vset = getBallooned(vset, radius);
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if (!filled) {
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vset = getHollowed(vset);
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}
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return setBlocks(vset, pattern);
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}
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/**
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* Draws a spline (out of blocks) between specified vectors.
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*
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* @param pattern The block pattern used to draw the spline.
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* @param nodevectors The list of vectors to draw through.
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* @param tension The tension of every node.
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* @param bias The bias of every node.
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* @param continuity The continuity of every node.
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* @param quality The quality of the spline. Must be greater than 0.
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* @param radius The radius (thickness) of the spline.
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* @param filled If false, only a shell will be generated.
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*
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* @return number of blocks affected
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* @throws MaxChangedBlocksException
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*/
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public int drawSpline(Pattern pattern, List<Vector> nodevectors, double tension, double bias, double continuity, double quality, double radius, boolean filled)
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throws MaxChangedBlocksException {
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Set<Vector> vset = new HashSet<Vector>();
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List<Node> nodes = new ArrayList(nodevectors.size());
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Interpolation interpol = new KochanekBartelsInterpolation();
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for (int loop = 0; loop < nodevectors.size(); loop++) {
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Node n = new Node(nodevectors.get(loop));
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n.setTension(tension);
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n.setBias(bias);
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n.setContinuity(continuity);
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nodes.add(n);
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}
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interpol.setNodes(nodes);
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double splinelength = interpol.arcLength(0, 1);
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for (double loop = 0; loop <= 1; loop += 1D / splinelength / quality) {
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Vector tipv = interpol.getPosition(loop);
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int tipx = (int) Math.round(tipv.getX());
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int tipy = (int) Math.round(tipv.getY());
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int tipz = (int) Math.round(tipv.getZ());
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vset.add(new Vector(tipx, tipy, tipz));
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}
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vset = getBallooned(vset, radius);
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if (!filled) {
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vset = getHollowed(vset);
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}
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return setBlocks(vset, pattern);
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}
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private static double hypot(double... pars) {
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double sum = 0;
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for (double d : pars) {
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sum += Math.pow(d, 2);
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}
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return Math.sqrt(sum);
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}
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private static Set<Vector> getBallooned(Set<Vector> vset, double radius) {
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Set<Vector> returnset = new HashSet<Vector>();
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int ceilrad = (int) Math.ceil(radius);
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for (Vector v : vset) {
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int tipx = v.getBlockX(), tipy = v.getBlockY(), tipz = v.getBlockZ();
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for (int loopx = tipx - ceilrad; loopx <= tipx + ceilrad; loopx++) {
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for (int loopy = tipy - ceilrad; loopy <= tipy + ceilrad; loopy++) {
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for (int loopz = tipz - ceilrad; loopz <= tipz + ceilrad; loopz++) {
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if (hypot(loopx - tipx, loopy - tipy, loopz - tipz) <= radius) {
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returnset.add(new Vector(loopx, loopy, loopz));
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}
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}
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}
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}
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}
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return returnset;
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}
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private static Set<Vector> getHollowed(Set<Vector> vset) {
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Set<Vector> returnset = new HashSet<Vector>();
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for (Vector v : vset) {
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double x = v.getX(), y = v.getY(), z = v.getZ();
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if (!(vset.contains(new Vector(x + 1, y, z)) &&
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vset.contains(new Vector(x - 1, y, z)) &&
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vset.contains(new Vector(x, y + 1, z)) &&
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vset.contains(new Vector(x, y - 1, z)) &&
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vset.contains(new Vector(x, y, z + 1)) &&
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vset.contains(new Vector(x, y, z - 1)))) {
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returnset.add(v);
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}
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}
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return returnset;
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}
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private int setBlocks(Set<Vector> vset, Pattern pattern)
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throws MaxChangedBlocksException {
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int affected = 0;
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for (Vector v : vset) {
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affected += setBlock(v, pattern) ? 1 : 0;
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}
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return affected;
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}
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private void recurseHollow(Region region, BlockVector origin, Set<BlockVector> outside) {
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final LinkedList<BlockVector> queue = new LinkedList<BlockVector>();
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queue.addLast(origin);
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@ -23,6 +23,8 @@ import static com.sk89q.minecraft.util.commands.Logging.LogMode.ALL;
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import static com.sk89q.minecraft.util.commands.Logging.LogMode.ORIENTATION_REGION;
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import static com.sk89q.minecraft.util.commands.Logging.LogMode.REGION;
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import java.util.ArrayList;
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import java.util.List;
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import java.util.Set;
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import com.sk89q.minecraft.util.commands.Command;
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@ -41,12 +43,13 @@ import com.sk89q.worldedit.blocks.BlockID;
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import com.sk89q.worldedit.expression.ExpressionException;
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import com.sk89q.worldedit.filtering.GaussianKernel;
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import com.sk89q.worldedit.filtering.HeightMapFilter;
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import com.sk89q.worldedit.masks.Mask;
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import com.sk89q.worldedit.patterns.Pattern;
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import com.sk89q.worldedit.patterns.SingleBlockPattern;
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import com.sk89q.worldedit.regions.CuboidRegion;
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import com.sk89q.worldedit.regions.Region;
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import com.sk89q.worldedit.regions.RegionOperationException;
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import com.sk89q.worldedit.masks.Mask;
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import com.sk89q.worldedit.patterns.Pattern;
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import com.sk89q.worldedit.patterns.SingleBlockPattern;
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import com.sk89q.worldedit.regions.ConvexPolyhedralRegion;
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import com.sk89q.worldedit.regions.CuboidRegion;
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import com.sk89q.worldedit.regions.Region;
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import com.sk89q.worldedit.regions.RegionOperationException;
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/**
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* Region related commands.
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@ -85,6 +88,80 @@ public class RegionCommands {
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player.print(affected + " block(s) have been changed.");
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}
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@Command(
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aliases = { "/line" },
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usage = "<block> [thickness]",
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desc = "Draws a line segment between cuboid selection corners",
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help =
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"Draws a line segment between cuboid selection corners.\n" +
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"Can only be used with cuboid selections.\n" +
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"Flags:\n" +
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" -h generates only a shell",
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flags = "h",
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min = 1,
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max = 2
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)
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@CommandPermissions("worldedit.region.line")
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@Logging(REGION)
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public void line(CommandContext args, LocalSession session, LocalPlayer player,
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EditSession editSession) throws WorldEditException {
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Region region = session.getSelection(session.getSelectionWorld());
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if (!(region instanceof CuboidRegion)) {
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player.printError("Invalid region type");
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return;
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}
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if (args.argsLength() < 2 ? false : args.getDouble(1) < 0) {
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player.printError("Invalid thickness. Must not be negative");
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return;
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}
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Pattern pattern = we.getBlockPattern(player, args.getString(0));
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CuboidRegion cuboidregion = (CuboidRegion) region;
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Vector pos1 = cuboidregion.getPos1();
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Vector pos2 = cuboidregion.getPos2();
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int blocksChanged = editSession.drawLine(pattern, pos1, pos2, args.argsLength() < 2 ? 0 : args.getDouble(1), !args.hasFlag('h'));
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player.print(blocksChanged + " block(s) have been changed.");
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}
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@Command(
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aliases = { "/curve" },
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usage = "<block> [thickness]",
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desc = "Draws a spline through selected points",
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help =
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"Draws a spline through selected points.\n" +
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"Can only be uesd with convex polyhedral selections.\n" +
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"Flags:\n" +
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" -h generates only a shell",
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flags = "h",
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min = 1,
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max = 2
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)
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@CommandPermissions("worldedit.region.curve")
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@Logging(REGION)
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public void curve(CommandContext args, LocalSession session, LocalPlayer player,
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EditSession editSession) throws WorldEditException {
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Region region = session.getSelection(session.getSelectionWorld());
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if (!(region instanceof ConvexPolyhedralRegion)) {
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player.printError("Invalid region type");
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return;
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}
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if (args.argsLength() < 2 ? false : args.getDouble(1) < 0) {
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player.printError("Invalid thickness. Must not be negative");
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return;
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}
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Pattern pattern = we.getBlockPattern(player, args.getString(0));
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ConvexPolyhedralRegion cpregion = (ConvexPolyhedralRegion) region;
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List<Vector> vectors = new ArrayList<Vector>(cpregion.getVertices());
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int blocksChanged = editSession.drawSpline(pattern, vectors, 0, 0, 0, 10, args.argsLength() < 2 ? 0 : args.getDouble(1), !args.hasFlag('h'));
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player.print(blocksChanged + " block(s) have been changed.");
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}
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@Command(
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aliases = { "/replace", "/re", "/rep" },
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68
src/main/java/com/sk89q/worldedit/interpolation/Interpolation.java
Normale Datei
68
src/main/java/com/sk89q/worldedit/interpolation/Interpolation.java
Normale Datei
@ -0,0 +1,68 @@
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// $Id$
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/*
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* WorldEditLibrary
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* Copyright (C) 2010 sk89q <http://www.sk89q.com> and contributors
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*
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* This program is free software: you can redistribute it and/or modify
|
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* it under the terms of the GNU General Public License as published by
|
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* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
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*
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* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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package com.sk89q.worldedit.interpolation;
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import java.util.List;
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import com.sk89q.worldedit.Vector;
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/**
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* Represents an arbitrary function in ℝ → ℝ<sup>3</sup>
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*
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* @author TomyLobo
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*
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*/
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public interface Interpolation {
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/**
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* Sets nodes to be used by subsequent calls to
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* {@link #getPosition(double)} and the other methods.
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*
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* @param nodes
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*/
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public void setNodes(List<Node> nodes);
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/**
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* Gets the result of f(position)
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*
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* @param position
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* @return
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*/
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public Vector getPosition(double position);
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/**
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* Gets the result of f'(position).
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*
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* @param position
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* @return
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*/
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public Vector get1stDerivative(double position);
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/**
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* Gets the result of ∫<sub>a</sub><sup style="position: relative; left: -1ex">b</sup>|f'(t)| dt.<br />
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* That means it calculates the arc length (in meters) between positionA
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* and positionB.
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*
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* @param positionA lower limit
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* @param positionB upper limit
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* @return
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*/
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double arcLength(double positionA, double positionB);
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int getSegment(double position);
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}
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@ -0,0 +1,253 @@
|
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// $Id$
|
||||
/*
|
||||
* WorldEditLibrary
|
||||
* Copyright (C) 2010 sk89q <http://www.sk89q.com> and contributors
|
||||
*
|
||||
* This program is free software: you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
package com.sk89q.worldedit.interpolation;
|
||||
|
||||
import java.util.Collections;
|
||||
import java.util.List;
|
||||
|
||||
import com.sk89q.worldedit.Vector;
|
||||
|
||||
/**
|
||||
* Kochanek-Bartels interpolation.<br />
|
||||
* Continuous in the 2nd derivative.<br />
|
||||
* Supports {@link Node#tension tension}, {@link Node#bias bias} and
|
||||
* {@link Node#continuity continuity} parameters per {@link Node}
|
||||
*
|
||||
* @author TomyLobo
|
||||
*
|
||||
*/
|
||||
public class KochanekBartelsInterpolation implements Interpolation {
|
||||
private List<Node> nodes;
|
||||
private Vector[] coeffA;
|
||||
private Vector[] coeffB;
|
||||
private Vector[] coeffC;
|
||||
private Vector[] coeffD;
|
||||
private double scaling;
|
||||
|
||||
public KochanekBartelsInterpolation() {
|
||||
setNodes(Collections.<Node>emptyList());
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setNodes(List<Node> nodes) {
|
||||
this.nodes = nodes;
|
||||
recalc();
|
||||
}
|
||||
|
||||
private void recalc() {
|
||||
final int nNodes = nodes.size();
|
||||
coeffA = new Vector[nNodes];
|
||||
coeffB = new Vector[nNodes];
|
||||
coeffC = new Vector[nNodes];
|
||||
coeffD = new Vector[nNodes];
|
||||
|
||||
if (nNodes == 0)
|
||||
return;
|
||||
|
||||
Node nodeB = nodes.get(0);
|
||||
double tensionB = nodeB.getTension();
|
||||
double biasB = nodeB.getBias();
|
||||
double continuityB = nodeB.getContinuity();
|
||||
for (int i = 0; i < nNodes; ++i) {
|
||||
final double tensionA = tensionB;
|
||||
final double biasA = biasB;
|
||||
final double continuityA = continuityB;
|
||||
|
||||
if (i + 1 < nNodes) {
|
||||
nodeB = nodes.get(i + 1);
|
||||
tensionB = nodeB.getTension();
|
||||
biasB = nodeB.getBias();
|
||||
continuityB = nodeB.getContinuity();
|
||||
}
|
||||
|
||||
// Kochanek-Bartels tangent coefficients
|
||||
final double ta = (1-tensionA)*(1+biasA)*(1+continuityA)/2; // Factor for lhs of d[i]
|
||||
final double tb = (1-tensionA)*(1-biasA)*(1-continuityA)/2; // Factor for rhs of d[i]
|
||||
final double tc = (1-tensionB)*(1+biasB)*(1-continuityB)/2; // Factor for lhs of d[i+1]
|
||||
final double td = (1-tensionB)*(1-biasB)*(1+continuityB)/2; // Factor for rhs of d[i+1]
|
||||
|
||||
coeffA[i] = linearCombination(i, -ta, ta- tb-tc+2, tb+tc-td-2, td);
|
||||
coeffB[i] = linearCombination(i, 2*ta, -2*ta+2*tb+tc-3, -2*tb-tc+td+3, -td);
|
||||
coeffC[i] = linearCombination(i, -ta, ta- tb , tb , 0);
|
||||
//coeffD[i] = linearCombination(i, 0, 1, 0, 0);
|
||||
coeffD[i] = retrieve(i); // this is an optimization
|
||||
}
|
||||
|
||||
scaling = nodes.size() - 1;
|
||||
}
|
||||
|
||||
/**
|
||||
* Returns the linear combination of the given coefficients with the nodes adjacent to baseIndex.
|
||||
*
|
||||
* @param baseIndex node index
|
||||
* @param f1 coefficient for baseIndex-1
|
||||
* @param f2 coefficient for baseIndex
|
||||
* @param f3 coefficient for baseIndex+1
|
||||
* @param f4 coefficient for baseIndex+2
|
||||
* @return linear combination of nodes[n-1..n+2] with f1..4
|
||||
*/
|
||||
private Vector linearCombination(int baseIndex, double f1, double f2, double f3, double f4) {
|
||||
final Vector r1 = retrieve(baseIndex - 1).multiply(f1);
|
||||
final Vector r2 = retrieve(baseIndex ).multiply(f2);
|
||||
final Vector r3 = retrieve(baseIndex + 1).multiply(f3);
|
||||
final Vector r4 = retrieve(baseIndex + 2).multiply(f4);
|
||||
|
||||
return r1.add(r2).add(r3).add(r4);
|
||||
}
|
||||
|
||||
/**
|
||||
* Retrieves a node. Indexes are clamped to the valid range.
|
||||
*
|
||||
* @param index node index to retrieve
|
||||
* @return nodes[clamp(0, nodes.length-1)]
|
||||
*/
|
||||
private Vector retrieve(int index) {
|
||||
if (index < 0)
|
||||
return fastRetrieve(0);
|
||||
|
||||
if (index >= nodes.size())
|
||||
return fastRetrieve(nodes.size()-1);
|
||||
|
||||
return fastRetrieve(index);
|
||||
}
|
||||
|
||||
private Vector fastRetrieve(int index) {
|
||||
return nodes.get(index).getPosition();
|
||||
}
|
||||
|
||||
@Override
|
||||
public Vector getPosition(double position) {
|
||||
if (coeffA == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (position > 1)
|
||||
return null;
|
||||
|
||||
position *= scaling;
|
||||
|
||||
final int index = (int) Math.floor(position);
|
||||
final double remainder = position - index;
|
||||
|
||||
final Vector a = coeffA[index];
|
||||
final Vector b = coeffB[index];
|
||||
final Vector c = coeffC[index];
|
||||
final Vector d = coeffD[index];
|
||||
|
||||
return a.multiply(remainder).add(b).multiply(remainder).add(c).multiply(remainder).add(d);
|
||||
}
|
||||
|
||||
@Override
|
||||
public Vector get1stDerivative(double position) {
|
||||
if (coeffA == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (position > 1)
|
||||
return null;
|
||||
|
||||
position *= scaling;
|
||||
|
||||
final int index = (int) Math.floor(position);
|
||||
//final double remainder = position - index;
|
||||
|
||||
final Vector a = coeffA[index];
|
||||
final Vector b = coeffB[index];
|
||||
final Vector c = coeffC[index];
|
||||
|
||||
return a.multiply(1.5*position - 3.0*index).add(b).multiply(2.0*position).add(a.multiply(1.5*index).subtract(b).multiply(2.0*index)).add(c).multiply(scaling);
|
||||
}
|
||||
|
||||
@Override
|
||||
public double arcLength(double positionA, double positionB) {
|
||||
if (coeffA == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (positionA > positionB)
|
||||
return arcLength(positionB, positionA);
|
||||
|
||||
positionA *= scaling;
|
||||
positionB *= scaling;
|
||||
|
||||
final int indexA = (int) Math.floor(positionA);
|
||||
final double remainderA = positionA - indexA;
|
||||
|
||||
final int indexB = (int) Math.floor(positionB);
|
||||
final double remainderB = positionB - indexB;
|
||||
|
||||
return arcLengthRecursive(indexA, remainderA, indexB, remainderB);
|
||||
}
|
||||
|
||||
/**
|
||||
* Assumes a < b
|
||||
*
|
||||
* @param indexLeft
|
||||
* @param remainderLeft
|
||||
* @param indexRight
|
||||
* @param remainderRight
|
||||
* @return
|
||||
*/
|
||||
private double arcLengthRecursive(int indexLeft, double remainderLeft, int indexRight, double remainderRight) {
|
||||
switch (indexRight - indexLeft) {
|
||||
case 0:
|
||||
return arcLengthRecursive(indexLeft, remainderLeft, remainderRight);
|
||||
|
||||
case 1:
|
||||
// This case is merely a speed-up for a very common case
|
||||
return
|
||||
arcLengthRecursive(indexLeft, remainderLeft, 1.0) +
|
||||
arcLengthRecursive(indexRight, 0.0, remainderRight);
|
||||
|
||||
default:
|
||||
return
|
||||
arcLengthRecursive(indexLeft, remainderLeft, indexRight - 1, 1.0) +
|
||||
arcLengthRecursive(indexRight, 0.0, remainderRight);
|
||||
}
|
||||
}
|
||||
|
||||
private double arcLengthRecursive(int index, double remainderLeft, double remainderRight) {
|
||||
final Vector a = coeffA[index].multiply(3.0);
|
||||
final Vector b = coeffB[index].multiply(2.0);
|
||||
final Vector c = coeffC[index];
|
||||
|
||||
final int nPoints = 8;
|
||||
|
||||
double accum = a.multiply(remainderLeft).add(b).multiply(remainderLeft).add(c).length() / 2.0;
|
||||
for (int i = 1; i < nPoints-1; ++i) {
|
||||
double t = ((double) i) / nPoints;
|
||||
t = (remainderRight-remainderLeft)*t + remainderLeft;
|
||||
accum += a.multiply(t).add(b).multiply(t).add(c).length();
|
||||
}
|
||||
|
||||
accum += a.multiply(remainderRight).add(b).multiply(remainderRight).add(c).length() / 2.0;
|
||||
return accum * (remainderRight - remainderLeft) / nPoints;
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getSegment(double position) {
|
||||
if (coeffA == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (position > 1)
|
||||
return Integer.MAX_VALUE;
|
||||
|
||||
position *= scaling;
|
||||
|
||||
final int index = (int) Math.floor(position);
|
||||
return index;
|
||||
}
|
||||
}
|
||||
158
src/main/java/com/sk89q/worldedit/interpolation/LinearInterpolation.java
Normale Datei
158
src/main/java/com/sk89q/worldedit/interpolation/LinearInterpolation.java
Normale Datei
@ -0,0 +1,158 @@
|
||||
// $Id$
|
||||
/*
|
||||
* WorldEditLibrary
|
||||
* Copyright (C) 2010 sk89q <http://www.sk89q.com> and contributors
|
||||
*
|
||||
* This program is free software: you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
package com.sk89q.worldedit.interpolation;
|
||||
|
||||
import java.util.List;
|
||||
|
||||
import com.sk89q.worldedit.Vector;
|
||||
|
||||
/**
|
||||
* Simple linear interpolation. Mainly used for testing.
|
||||
*
|
||||
* @author TomyLobo
|
||||
*
|
||||
*/
|
||||
public class LinearInterpolation implements Interpolation {
|
||||
private List<Node> nodes;
|
||||
|
||||
@Override
|
||||
public void setNodes(List<Node> nodes) {
|
||||
this.nodes = nodes;
|
||||
}
|
||||
|
||||
@Override
|
||||
public Vector getPosition(double position) {
|
||||
if (nodes == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (position > 1)
|
||||
return null;
|
||||
|
||||
position *= nodes.size() - 1;
|
||||
|
||||
final int index1 = (int) Math.floor(position);
|
||||
final double remainder = position - index1;
|
||||
|
||||
final Vector position1 = nodes.get(index1).getPosition();
|
||||
final Vector position2 = nodes.get(index1 + 1).getPosition();
|
||||
|
||||
return position1.multiply(1.0 - remainder).add(position2.multiply(remainder));
|
||||
}
|
||||
|
||||
/*
|
||||
Formula for position:
|
||||
p1*(1-t) + p2*t
|
||||
Formula for position in Horner/monomial form:
|
||||
(p2-p1)*t + p1
|
||||
1st Derivative:
|
||||
p2-p1
|
||||
2nd Derivative:
|
||||
0
|
||||
Integral:
|
||||
(p2-p1)/2*t^2 + p1*t + constant
|
||||
Integral in Horner form:
|
||||
((p2-p1)/2*t + p1)*t + constant
|
||||
*/
|
||||
|
||||
@Override
|
||||
public Vector get1stDerivative(double position) {
|
||||
if (nodes == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (position > 1)
|
||||
return null;
|
||||
|
||||
position *= nodes.size() - 1;
|
||||
|
||||
final int index1 = (int) Math.floor(position);
|
||||
|
||||
final Vector position1 = nodes.get(index1).getPosition();
|
||||
final Vector position2 = nodes.get(index1 + 1).getPosition();
|
||||
|
||||
return position2.subtract(position1);
|
||||
}
|
||||
|
||||
@Override
|
||||
public double arcLength(double positionA, double positionB) {
|
||||
if (nodes == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (positionA > positionB)
|
||||
return arcLength(positionB, positionA);
|
||||
|
||||
positionA *= nodes.size() - 1;
|
||||
positionB *= nodes.size() - 1;
|
||||
|
||||
final int indexA = (int) Math.floor(positionA);
|
||||
final double remainderA = positionA - indexA;
|
||||
|
||||
final int indexB = (int) Math.floor(positionB);
|
||||
final double remainderB = positionB - indexB;
|
||||
|
||||
return arcLengthRecursive(indexA, remainderA, indexB, remainderB);
|
||||
}
|
||||
|
||||
/**
|
||||
* Assumes a < b
|
||||
*
|
||||
* @param indexA
|
||||
* @param remainderA
|
||||
* @param indexB
|
||||
* @param remainderB
|
||||
* @return
|
||||
*/
|
||||
private double arcLengthRecursive(int indexA, double remainderA, int indexB, double remainderB) {
|
||||
switch (indexB - indexA) {
|
||||
case 0:
|
||||
return arcLengthRecursive(indexA, remainderA, remainderB);
|
||||
|
||||
case 1:
|
||||
// This case is merely a speed-up for a very common case
|
||||
return
|
||||
arcLengthRecursive(indexA, remainderA, 1.0) +
|
||||
arcLengthRecursive(indexB, 0.0, remainderB);
|
||||
|
||||
default:
|
||||
return
|
||||
arcLengthRecursive(indexA, remainderA, indexB - 1, 1.0) +
|
||||
arcLengthRecursive(indexB, 0.0, remainderB);
|
||||
}
|
||||
}
|
||||
|
||||
private double arcLengthRecursive(int index, double remainderA, double remainderB) {
|
||||
final Vector position1 = nodes.get(index).getPosition();
|
||||
final Vector position2 = nodes.get(index + 1).getPosition();
|
||||
|
||||
return position1.distance(position2) * (remainderB - remainderA);
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getSegment(double position) {
|
||||
if (nodes == null)
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (position > 1)
|
||||
return Integer.MAX_VALUE;
|
||||
|
||||
position *= nodes.size() - 1;
|
||||
|
||||
final int index = (int) Math.floor(position);
|
||||
return index;
|
||||
}
|
||||
}
|
||||
86
src/main/java/com/sk89q/worldedit/interpolation/Node.java
Normale Datei
86
src/main/java/com/sk89q/worldedit/interpolation/Node.java
Normale Datei
@ -0,0 +1,86 @@
|
||||
// $Id$
|
||||
/*
|
||||
* WorldEditLibrary
|
||||
* Copyright (C) 2010 sk89q <http://www.sk89q.com> and contributors
|
||||
*
|
||||
* This program is free software: you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
package com.sk89q.worldedit.interpolation;
|
||||
|
||||
import com.sk89q.worldedit.Vector;
|
||||
|
||||
/**
|
||||
* Represents a node for interpolation.<br />
|
||||
* The {@link #tension}, {@link #bias} and {@link #continuity} fields
|
||||
* are parameters for the Kochanek-Bartels interpolation algorithm.
|
||||
*
|
||||
* @author TomyLobo
|
||||
*
|
||||
*/
|
||||
public class Node {
|
||||
private Vector position;
|
||||
|
||||
private double tension;
|
||||
private double bias;
|
||||
private double continuity;
|
||||
|
||||
public Node() {
|
||||
this(new Vector(0, 0, 0));
|
||||
}
|
||||
|
||||
public Node(Node other) {
|
||||
this.position = other.position;
|
||||
|
||||
this.tension = other.tension;
|
||||
this.bias = other.bias;
|
||||
this.continuity = other.continuity;
|
||||
}
|
||||
|
||||
public Node(Vector position) {
|
||||
this.position = position;
|
||||
}
|
||||
|
||||
|
||||
public Vector getPosition() {
|
||||
return position;
|
||||
}
|
||||
|
||||
public void setPosition(Vector position) {
|
||||
this.position = position;
|
||||
}
|
||||
|
||||
public double getTension() {
|
||||
return tension;
|
||||
}
|
||||
|
||||
public void setTension(double tension) {
|
||||
this.tension = tension;
|
||||
}
|
||||
|
||||
public double getBias() {
|
||||
return bias;
|
||||
}
|
||||
|
||||
public void setBias(double bias) {
|
||||
this.bias = bias;
|
||||
}
|
||||
|
||||
public double getContinuity() {
|
||||
return continuity;
|
||||
}
|
||||
|
||||
public void setContinuity(double continuity) {
|
||||
this.continuity = continuity;
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,148 @@
|
||||
// $Id$
|
||||
/*
|
||||
* WorldEditLibrary
|
||||
* Copyright (C) 2010 sk89q <http://www.sk89q.com> and contributors
|
||||
*
|
||||
* This program is free software: you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation, either version 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
package com.sk89q.worldedit.interpolation;
|
||||
|
||||
import java.util.List;
|
||||
import java.util.Map.Entry;
|
||||
import java.util.TreeMap;
|
||||
|
||||
import com.sk89q.worldedit.Vector;
|
||||
|
||||
/**
|
||||
* Reparametrises another interpolation function by arc length.<br />
|
||||
* This is done so entities travel at roughly the same speed across
|
||||
* the whole route.
|
||||
*
|
||||
* @author TomyLobo
|
||||
*
|
||||
*/
|
||||
public class ReparametrisingInterpolation implements Interpolation {
|
||||
private final Interpolation baseInterpolation;
|
||||
private double totalArcLength;
|
||||
private final TreeMap<Double, Double> cache = new TreeMap<Double, Double>();
|
||||
|
||||
public ReparametrisingInterpolation(Interpolation baseInterpolation) {
|
||||
this.baseInterpolation = baseInterpolation;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setNodes(List<Node> nodes) {
|
||||
baseInterpolation.setNodes(nodes);
|
||||
cache.clear();
|
||||
cache.put(0.0, 0.0);
|
||||
cache.put(totalArcLength = baseInterpolation.arcLength(0.0, 1.0), 1.0);
|
||||
}
|
||||
|
||||
public Interpolation getBaseInterpolation() {
|
||||
return baseInterpolation;
|
||||
}
|
||||
|
||||
@Override
|
||||
public Vector getPosition(double position) {
|
||||
if (position > 1)
|
||||
return null;
|
||||
|
||||
return baseInterpolation.getPosition(arcToParameter(position));
|
||||
}
|
||||
|
||||
@Override
|
||||
public Vector get1stDerivative(double position) {
|
||||
if (position > 1)
|
||||
return null;
|
||||
|
||||
return baseInterpolation.get1stDerivative(arcToParameter(position)).normalize().multiply(totalArcLength);
|
||||
}
|
||||
|
||||
@Override
|
||||
public double arcLength(double positionA, double positionB) {
|
||||
return baseInterpolation.arcLength(arcToParameter(positionA), arcToParameter(positionB));
|
||||
}
|
||||
|
||||
private double arcToParameter(double arc) {
|
||||
if (cache.isEmpty())
|
||||
throw new IllegalStateException("Must call setNodes first.");
|
||||
|
||||
if (arc > 1) arc = 1;
|
||||
arc *= totalArcLength;
|
||||
|
||||
Entry<Double, Double> floorEntry = cache.floorEntry(arc);
|
||||
final double leftArc = floorEntry.getKey();
|
||||
final double leftParameter = floorEntry.getValue();
|
||||
|
||||
if (leftArc == arc) {
|
||||
return leftParameter;
|
||||
}
|
||||
|
||||
Entry<Double, Double> ceilingEntry = cache.ceilingEntry(arc);
|
||||
if (ceilingEntry == null) {
|
||||
System.out.println("Error in arcToParameter: no ceiling entry for "+arc+" found!");
|
||||
return 0;
|
||||
}
|
||||
final double rightArc = ceilingEntry.getKey();
|
||||
final double rightParameter = ceilingEntry.getValue();
|
||||
|
||||
if (rightArc == arc) {
|
||||
return rightParameter;
|
||||
}
|
||||
|
||||
return evaluate(arc, leftArc, leftParameter, rightArc, rightParameter);
|
||||
}
|
||||
|
||||
private double evaluate(double arc, double leftArc, double leftParameter, double rightArc, double rightParameter) {
|
||||
double midParameter = 0;
|
||||
for (int i = 0; i < 10; ++i) {
|
||||
midParameter = (leftParameter + rightParameter) * 0.5;
|
||||
//final double midArc = leftArc + baseInterpolation.arcLength(leftParameter, midParameter);
|
||||
final double midArc = baseInterpolation.arcLength(0, midParameter);
|
||||
cache.put(midArc, midParameter);
|
||||
|
||||
if (midArc < leftArc) {
|
||||
return leftParameter;
|
||||
}
|
||||
|
||||
if (midArc > rightArc) {
|
||||
return rightParameter;
|
||||
}
|
||||
|
||||
if (Math.abs(midArc - arc) < 0.01) {
|
||||
return midParameter;
|
||||
}
|
||||
|
||||
if (arc < midArc) {
|
||||
// search between left and mid
|
||||
rightArc = midArc;
|
||||
rightParameter = midParameter;
|
||||
}
|
||||
else {
|
||||
// search between mid and right
|
||||
leftArc = midArc;
|
||||
leftParameter = midParameter;
|
||||
}
|
||||
}
|
||||
return midParameter;
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getSegment(double position) {
|
||||
if (position > 1)
|
||||
return Integer.MAX_VALUE;
|
||||
|
||||
return baseInterpolation.getSegment(arcToParameter(position));
|
||||
}
|
||||
}
|
||||
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