type t =
{
  alpha : Spindeterminant.t ;
  beta  : Spindeterminant.t ;
}



let alpha t = t.alpha

let beta  t = t.beta 

let phase t = 
  match Spindeterminant.(phase t.alpha, phase t.beta) with
  | Phase.Pos, Phase.Pos 
  | Phase.Neg, Phase.Neg  -> Phase.Pos
  | _ -> Phase.Neg


let of_spindeterminants a b =
  {
    alpha = a ;
    beta  = b
  }

let of_lists a b =
  {
    alpha = Spindeterminant.of_list a ;
    beta  = Spindeterminant.of_list b
  }


let pp_det ppf t =
  Format.fprintf ppf "@[<v> a: %a @; b: %a @]@."
    Spindeterminant.pp_spindet t.alpha
    Spindeterminant.pp_spindet t.beta


let test_case () =

  let test_creation () =
      let l_a = [ 1 ; 2 ; 3 ; 5 ; 64 ]
      and l_b = [ 2 ; 3 ; 5 ; 65 ] in
      let det = of_lists l_a l_b in
      let z_a = alpha det
      and z_b = beta  det in
      Alcotest.(check (list int )) "alpha" (Spindeterminant.to_list z_a) l_a;
      Alcotest.(check (list int )) "beta"  (Spindeterminant.to_list z_b) l_b;
      Alcotest.(check bool) "phase" (phase det = Phase.Pos)  true;
  in

  let test_phase () =
      let l_a = [ 1 ; 2 ; 3 ; 64 ; 5 ]
      and l_b = [ 2 ; 3 ; 5 ; 65 ] in
      let det = of_lists l_a l_b in
      Alcotest.(check bool) "phase" (phase det = Phase.Neg)  true;
      let l_a = [ 1 ; 2 ; 3 ; 64 ; 5 ]
      and l_b = [ 3 ; 2 ; 5 ; 65 ] in
      let det = of_lists l_a l_b in
      Alcotest.(check bool) "phase" (phase det = Phase.Pos)  true;
      let l_a = [ 1 ; 3 ; 2 ; 64 ; 5 ]
      and l_b = [ 3 ; 2 ; 5 ; 65 ] in
      let det = of_lists l_a l_b in
      Alcotest.(check bool) "phase" (phase det = Phase.Neg)  true;
      let l_a = [ 1 ; 3 ; 2 ; 64 ; 5 ]
      and l_b = [ 3 ; 2 ; 65 ; 5 ] in
      let det = of_lists l_a l_b in
      Alcotest.(check bool) "phase" (phase det = Phase.Pos)  true;
  in
  [
    "Creation", `Quick, test_creation;
    "Phase",    `Quick, test_phase;
  ]