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 net.minecraft.Util; import net.minecraft.core.Direction; import net.minecraft.core.FrontAndTop; import net.minecraft.util.StringRepresentable; import org.jetbrains.annotations.Nullable; 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 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], octahedralGroups -> { Map, OctahedralGroup> map = (Map, OctahedralGroup>)Arrays.stream(values()) .collect( Collectors.toMap(octahedralGroupx -> Pair.of(octahedralGroupx.permutation, octahedralGroupx.packInversions()), octahedralGroupx -> octahedralGroupx) ); for (OctahedralGroup octahedralGroup : values()) { for (OctahedralGroup octahedralGroup2 : values()) { BooleanList booleanList = octahedralGroup.packInversions(); BooleanList booleanList2 = octahedralGroup2.packInversions(); SymmetricGroup3 symmetricGroup3 = octahedralGroup2.permutation.compose(octahedralGroup.permutation); BooleanArrayList booleanArrayList = new BooleanArrayList(3); for (int i = 0; i < 3; i++) { booleanArrayList.add(booleanList.getBoolean(i) ^ booleanList2.getBoolean(octahedralGroup.permutation.permutation(i))); } octahedralGroups[octahedralGroup.ordinal()][octahedralGroup2.ordinal()] = (OctahedralGroup)map.get(Pair.of(symmetricGroup3, booleanArrayList)); } } } ); private static final OctahedralGroup[] inverseTable = (OctahedralGroup[])Arrays.stream(values()) .map( octahedralGroup -> (OctahedralGroup)Arrays.stream(values()) .filter(octahedralGroup2 -> octahedralGroup.compose(octahedralGroup2) == IDENTITY) .findAny() .get() ) .toArray(OctahedralGroup[]::new); private OctahedralGroup(final String name, final SymmetricGroup3 permutation, final boolean invertX, final boolean invertY, final boolean invertZ) { this.name = name; this.invertX = invertX; this.invertY = invertY; this.invertZ = invertZ; this.permutation = permutation; this.transformation = new Matrix3f().scaling(invertX ? -1.0F : 1.0F, invertY ? -1.0F : 1.0F, invertZ ? -1.0F : 1.0F); this.transformation.mul(permutation.transformation()); } private BooleanList packInversions() { return new BooleanArrayList(new boolean[]{this.invertX, this.invertY, this.invertZ}); } public OctahedralGroup compose(OctahedralGroup other) { return cayleyTable[this.ordinal()][other.ordinal()]; } public OctahedralGroup inverse() { return inverseTable[this.ordinal()]; } public Matrix3f transformation() { return new Matrix3f(this.transformation); } public String toString() { return this.name; } @Override public String getSerializedName() { return this.name; } public Direction rotate(Direction direction) { if (this.rotatedDirections == null) { this.rotatedDirections = Maps.newEnumMap(Direction.class); Direction.Axis[] axiss = Direction.Axis.values(); for (Direction direction2 : Direction.values()) { Direction.Axis axis = direction2.getAxis(); Direction.AxisDirection axisDirection = direction2.getAxisDirection(); Direction.Axis axis2 = axiss[this.permutation.permutation(axis.ordinal())]; Direction.AxisDirection axisDirection2 = this.inverts(axis2) ? axisDirection.opposite() : axisDirection; Direction direction3 = Direction.fromAxisAndDirection(axis2, axisDirection2); this.rotatedDirections.put(direction2, direction3); } } return (Direction)this.rotatedDirections.get(direction); } public boolean inverts(Direction.Axis axis) { switch (axis) { case X: return this.invertX; case Y: return this.invertY; case Z: default: return this.invertZ; } } public FrontAndTop rotate(FrontAndTop frontAndTop) { return FrontAndTop.fromFrontAndTop(this.rotate(frontAndTop.front()), this.rotate(frontAndTop.top())); } }