import {Sequence, parse} from "alg"
import {Transformation, Combine, Invert, Puzzles} from "kpuzzle"
import {initialize, solve as min2phaseSolve, Min2PhaseCube} from "./min2phase.js"

export {initialize}

const def = Puzzles["333"]
function reidToMin2Phase(state: Transformation): Min2PhaseCube {
  // Note: this is its own inverse.
  const conjugate = {
    EDGE: { permutation: [ 1, 0, 3, 2, 5, 4, 7, 6, 8, 9, 11, 10 ],
            orientation: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] },
    CORNER: { permutation: [ 0, 3, 2, 1, 4, 5, 6, 7 ],
              orientation: [ 0, 0, 0, 0, 0, 0, 0, 0 ] },
    CENTER: { permutation: [ 0, 1, 2, 3, 4, 5 ],
              orientation: [ 0, 0, 0, 0, 0, 0 ] }
  };
  const pseudo = Combine(def, Combine(def, conjugate, Invert(def, state)), conjugate);
  return {
    cp: pseudo["CORNER"].permutation,
    co: pseudo["CORNER"].orientation,
    ep: pseudo["EDGE"].permutation,
    eo: pseudo["EDGE"].orientation
  }
}

export function solve(state: Transformation): Sequence {
  return parse(min2phaseSolve(reidToMin2Phase(state)));
}