package com.mojang.math;

import java.util.Arrays;
import java.util.Map;
import java.util.stream.Collectors;
import net.minecraft.core.Direction;
import net.minecraft.core.FrontAndTop;
import net.minecraft.util.StringRepresentable;
import net.minecraft.util.Util;
import org.joml.Matrix3f;
import org.joml.Matrix3fc;
import org.joml.Vector3i;
import org.jspecify.annotations.Nullable;

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);

	public static final OctahedralGroup BLOCK_ROT_X_270 = ROT_90_X_POS;
	public static final OctahedralGroup BLOCK_ROT_X_180 = ROT_180_FACE_YZ;
	public static final OctahedralGroup BLOCK_ROT_X_90 = ROT_90_X_NEG;
	public static final OctahedralGroup BLOCK_ROT_Y_270 = ROT_90_Y_POS;
	public static final OctahedralGroup BLOCK_ROT_Y_180 = ROT_180_FACE_XZ;
	public static final OctahedralGroup BLOCK_ROT_Y_90 = ROT_90_Y_NEG;
	public static final OctahedralGroup BLOCK_ROT_Z_270 = ROT_90_Z_POS;
	public static final OctahedralGroup BLOCK_ROT_Z_180 = ROT_180_FACE_XY;
	public static final OctahedralGroup BLOCK_ROT_Z_90 = ROT_90_Z_NEG;
	private final Matrix3fc 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[][] CAYLEY_TABLE = Util.make(() -> {
		OctahedralGroup[] values = values();
		OctahedralGroup[][] table = new OctahedralGroup[values.length][values.length];
		Map<Integer, OctahedralGroup> fingerprints = (Map<Integer, OctahedralGroup>)Arrays.stream(values).collect(Collectors.toMap(OctahedralGroup::trace, o -> o));

		for (OctahedralGroup first : values) {
			for (OctahedralGroup second : values) {
				SymmetricGroup3 composedPermutation = second.permutation.compose(first.permutation);
				boolean composedInvertX = first.inverts(Direction.Axis.X) ^ second.inverts(first.permutation.permuteAxis(Direction.Axis.X));
				boolean composedInvertY = first.inverts(Direction.Axis.Y) ^ second.inverts(first.permutation.permuteAxis(Direction.Axis.Y));
				boolean composedInvertZ = first.inverts(Direction.Axis.Z) ^ second.inverts(first.permutation.permuteAxis(Direction.Axis.Z));
				table[first.ordinal()][second.ordinal()] = (OctahedralGroup)fingerprints.get(trace(composedInvertX, composedInvertY, composedInvertZ, composedPermutation));
			}
		}

		return table;
	});
	private static final OctahedralGroup[] INVERSE_TABLE = (OctahedralGroup[])Arrays.stream(values())
		.map(f -> (OctahedralGroup)Arrays.stream(values()).filter(s -> f.compose(s) == 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).mul(permutation.transformation());
	}

	private static int trace(final boolean invertX, final boolean invertY, final boolean invertZ, final SymmetricGroup3 permutation) {
		int inversionIndex = (invertZ ? 4 : 0) + (invertY ? 2 : 0) + (invertX ? 1 : 0);
		return permutation.ordinal() << 3 | inversionIndex;
	}

	private int trace() {
		return trace(this.invertX, this.invertY, this.invertZ, this.permutation);
	}

	public OctahedralGroup compose(final OctahedralGroup that) {
		return CAYLEY_TABLE[this.ordinal()][that.ordinal()];
	}

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

	public Matrix3fc transformation() {
		return this.transformation;
	}

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

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

	public Direction rotate(final Direction direction) {
		if (this.rotatedDirections == null) {
			this.rotatedDirections = Util.makeEnumMap(Direction.class, facing -> {
				Direction.Axis oldAxis = facing.getAxis();
				Direction.AxisDirection oldDirection = facing.getAxisDirection();
				Direction.Axis newAxis = this.permutation.inverse().permuteAxis(oldAxis);
				Direction.AxisDirection newDirection = this.inverts(newAxis) ? oldDirection.opposite() : oldDirection;
				return Direction.fromAxisAndDirection(newAxis, newDirection);
			});
		}

		return (Direction)this.rotatedDirections.get(direction);
	}

	public Vector3i rotate(final Vector3i v) {
		this.permutation.permuteVector(v);
		v.x = v.x * (this.invertX ? -1 : 1);
		v.y = v.y * (this.invertY ? -1 : 1);
		v.z = v.z * (this.invertZ ? -1 : 1);
		return v;
	}

	public boolean inverts(final Direction.Axis axis) {
		return switch (axis) {
			case X -> this.invertX;
			case Y -> this.invertY;
			case Z -> this.invertZ;
		};
	}

	public SymmetricGroup3 permutation() {
		return this.permutation;
	}

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