src/game/java/com/mojang/math/OctahedralGroup.java

package com.mojang.math;

import com.google.common.collect.Maps;
import com.mojang.datafixers.util.Pair;
import it.unimi.dsi.fastutil.booleans.BooleanArrayList;
import it.unimi.dsi.fastutil.booleans.BooleanList;
import java.util.Arrays;
import java.util.Map;
import java.util.stream.Collectors;
import javax.annotation.Nullable;
import net.minecraft.Util;
import net.minecraft.core.Direction;
import net.minecraft.core.FrontAndTop;
import net.minecraft.util.StringRepresentable;
import org.joml.Matrix3f;

public enum OctahedralGroup implements StringRepresentable {
    IDENTITY("identity", SymmetricGroup3.P123, false, false, false),
    ROT_180_FACE_XY("rot_180_face_xy", SymmetricGroup3.P123, true, true, false),
    ROT_180_FACE_XZ("rot_180_face_xz", SymmetricGroup3.P123, true, false, true),
    ROT_180_FACE_YZ("rot_180_face_yz", SymmetricGroup3.P123, false, true, true),
    ROT_120_NNN("rot_120_nnn", SymmetricGroup3.P231, false, false, false),
    ROT_120_NNP("rot_120_nnp", SymmetricGroup3.P312, true, false, true),
    ROT_120_NPN("rot_120_npn", SymmetricGroup3.P312, false, true, true),
    ROT_120_NPP("rot_120_npp", SymmetricGroup3.P231, true, false, true),
    ROT_120_PNN("rot_120_pnn", SymmetricGroup3.P312, true, true, false),
    ROT_120_PNP("rot_120_pnp", SymmetricGroup3.P231, true, true, false),
    ROT_120_PPN("rot_120_ppn", SymmetricGroup3.P231, false, true, true),
    ROT_120_PPP("rot_120_ppp", SymmetricGroup3.P312, false, false, false),
    ROT_180_EDGE_XY_NEG("rot_180_edge_xy_neg", SymmetricGroup3.P213, true, true, true),
    ROT_180_EDGE_XY_POS("rot_180_edge_xy_pos", SymmetricGroup3.P213, false, false, true),
    ROT_180_EDGE_XZ_NEG("rot_180_edge_xz_neg", SymmetricGroup3.P321, true, true, true),
    ROT_180_EDGE_XZ_POS("rot_180_edge_xz_pos", SymmetricGroup3.P321, false, true, false),
    ROT_180_EDGE_YZ_NEG("rot_180_edge_yz_neg", SymmetricGroup3.P132, true, true, true),
    ROT_180_EDGE_YZ_POS("rot_180_edge_yz_pos", SymmetricGroup3.P132, true, false, false),
    ROT_90_X_NEG("rot_90_x_neg", SymmetricGroup3.P132, false, false, true),
    ROT_90_X_POS("rot_90_x_pos", SymmetricGroup3.P132, false, true, false),
    ROT_90_Y_NEG("rot_90_y_neg", SymmetricGroup3.P321, true, false, false),
    ROT_90_Y_POS("rot_90_y_pos", SymmetricGroup3.P321, false, false, true),
    ROT_90_Z_NEG("rot_90_z_neg", SymmetricGroup3.P213, false, true, false),
    ROT_90_Z_POS("rot_90_z_pos", SymmetricGroup3.P213, true, false, false),
    INVERSION("inversion", SymmetricGroup3.P123, true, true, true),
    INVERT_X("invert_x", SymmetricGroup3.P123, true, false, false),
    INVERT_Y("invert_y", SymmetricGroup3.P123, false, true, false),
    INVERT_Z("invert_z", SymmetricGroup3.P123, false, false, true),
    ROT_60_REF_NNN("rot_60_ref_nnn", SymmetricGroup3.P312, true, true, true),
    ROT_60_REF_NNP("rot_60_ref_nnp", SymmetricGroup3.P231, true, false, false),
    ROT_60_REF_NPN("rot_60_ref_npn", SymmetricGroup3.P231, false, false, true),
    ROT_60_REF_NPP("rot_60_ref_npp", SymmetricGroup3.P312, false, false, true),
    ROT_60_REF_PNN("rot_60_ref_pnn", SymmetricGroup3.P231, false, true, false),
    ROT_60_REF_PNP("rot_60_ref_pnp", SymmetricGroup3.P312, true, false, false),
    ROT_60_REF_PPN("rot_60_ref_ppn", SymmetricGroup3.P312, false, true, false),
    ROT_60_REF_PPP("rot_60_ref_ppp", SymmetricGroup3.P231, true, true, true),
    SWAP_XY("swap_xy", SymmetricGroup3.P213, false, false, false),
    SWAP_YZ("swap_yz", SymmetricGroup3.P132, false, false, false),
    SWAP_XZ("swap_xz", SymmetricGroup3.P321, false, false, false),
    SWAP_NEG_XY("swap_neg_xy", SymmetricGroup3.P213, true, true, false),
    SWAP_NEG_YZ("swap_neg_yz", SymmetricGroup3.P132, false, true, true),
    SWAP_NEG_XZ("swap_neg_xz", SymmetricGroup3.P321, true, false, true),
    ROT_90_REF_X_NEG("rot_90_ref_x_neg", SymmetricGroup3.P132, true, false, true),
    ROT_90_REF_X_POS("rot_90_ref_x_pos", SymmetricGroup3.P132, true, true, false),
    ROT_90_REF_Y_NEG("rot_90_ref_y_neg", SymmetricGroup3.P321, true, true, false),
    ROT_90_REF_Y_POS("rot_90_ref_y_pos", SymmetricGroup3.P321, false, true, true),
    ROT_90_REF_Z_NEG("rot_90_ref_z_neg", SymmetricGroup3.P213, false, true, true),
    ROT_90_REF_Z_POS("rot_90_ref_z_pos", SymmetricGroup3.P213, true, false, true);

    private final Matrix3f transformation;
    private final String name;
    @Nullable
    private Map<Direction, Direction> rotatedDirections;
    private final boolean invertX;
    private final boolean invertY;
    private final boolean invertZ;
    private final SymmetricGroup3 permutation;
    private static final OctahedralGroup[][] cayleyTable = Util.make(
        new OctahedralGroup[values().length][values().length],
        p_56533_ -> {
            Map<Pair<SymmetricGroup3, BooleanList>, OctahedralGroup> map = Arrays.stream(values())
                .collect(Collectors.toMap(p_174952_ -> Pair.of(p_174952_.permutation, p_174952_.packInversions()), p_174950_ -> (OctahedralGroup)p_174950_));

            for (OctahedralGroup octahedralgroup : values()) {
                for (OctahedralGroup octahedralgroup1 : values()) {
                    BooleanList booleanlist = octahedralgroup.packInversions();
                    BooleanList booleanlist1 = octahedralgroup1.packInversions();
                    SymmetricGroup3 symmetricgroup3 = octahedralgroup1.permutation.compose(octahedralgroup.permutation);
                    BooleanArrayList booleanarraylist = new BooleanArrayList(3);

                    for (int i = 0; i < 3; i++) {
                        booleanarraylist.add(booleanlist.getBoolean(i) ^ booleanlist1.getBoolean(octahedralgroup.permutation.permutation(i)));
                    }

                    p_56533_[octahedralgroup.ordinal()][octahedralgroup1.ordinal()] = map.get(Pair.of(symmetricgroup3, booleanarraylist));
                }
            }
        }
    );
    private static final OctahedralGroup[] inverseTable = Arrays.stream(values())
        .map(p_56536_ -> Arrays.stream(values()).filter(p_174947_ -> p_56536_.compose(p_174947_) == IDENTITY).findAny().get())
        .toArray(OctahedralGroup[]::new);

    private OctahedralGroup(final String p_56513_, final SymmetricGroup3 p_56514_, final boolean p_56515_, final boolean p_56516_, final boolean p_56517_) {
        this.name = p_56513_;
        this.invertX = p_56515_;
        this.invertY = p_56516_;
        this.invertZ = p_56517_;
        this.permutation = p_56514_;
        this.transformation = new Matrix3f().scaling(p_56515_ ? -1.0F : 1.0F, p_56516_ ? -1.0F : 1.0F, p_56517_ ? -1.0F : 1.0F);
        this.transformation.mul(p_56514_.transformation());
    }

    private BooleanList packInversions() {
        return new BooleanArrayList(new boolean[]{this.invertX, this.invertY, this.invertZ});
    }

    public OctahedralGroup compose(OctahedralGroup p_56522_) {
        return cayleyTable[this.ordinal()][p_56522_.ordinal()];
    }

    public OctahedralGroup inverse() {
        return inverseTable[this.ordinal()];
    }

    public Matrix3f transformation() {
        return new Matrix3f(this.transformation);
    }

    @Override
    public String toString() {
        return this.name;
    }

    @Override
    public String getSerializedName() {
        return this.name;
    }

    public Direction rotate(Direction p_56529_) {
        if (this.rotatedDirections == null) {
            this.rotatedDirections = Maps.newEnumMap(Direction.class);
            Direction.Axis[] adirection$axis = Direction.Axis.values();

            for (Direction direction : Direction.values()) {
                Direction.Axis direction$axis = direction.getAxis();
                Direction.AxisDirection direction$axisdirection = direction.getAxisDirection();
                Direction.Axis direction$axis1 = adirection$axis[this.permutation.permutation(direction$axis.ordinal())];
                Direction.AxisDirection direction$axisdirection1 = this.inverts(direction$axis1)
                    ? direction$axisdirection.opposite()
                    : direction$axisdirection;
                Direction direction1 = Direction.fromAxisAndDirection(direction$axis1, direction$axisdirection1);
                this.rotatedDirections.put(direction, direction1);
            }
        }

        return this.rotatedDirections.get(p_56529_);
    }

    public boolean inverts(Direction.Axis p_56527_) {
        switch (p_56527_) {
            case X:
                return this.invertX;
            case Y:
                return this.invertY;
            case Z:
            default:
                return this.invertZ;
        }
    }

    public FrontAndTop rotate(FrontAndTop p_56531_) {
        return FrontAndTop.fromFrontAndTop(this.rotate(p_56531_.front()), this.rotate(p_56531_.top()));
    }
}