val bn_is_lt_order_and_gt_zero_mask4: f:felem -> Stack uint64
  (requires fun h -> live h f)
  (ensures  fun h0 r h1 -> modifies0 h0 h1 /\
    (if 0 < as_nat h0 f && as_nat h0 f < S.order then v r = ones_v U64 else v r = 0))
let bn_is_lt_order_and_gt_zero_mask4 f =
  let h0 = ST.get () in
  let is_lt_order = bn_is_lt_order_mask4 f in
  assert (v is_lt_order = (if as_nat h0 f < S.order then ones_v U64 else 0));
  let is_eq_zero = bn_is_zero_mask4 f in
  assert (v is_eq_zero = (if as_nat h0 f = 0 then ones_v U64 else 0));
  lognot_lemma is_eq_zero;
  assert (v (lognot is_eq_zero) = (if 0 < as_nat h0 f then ones_v U64 else 0));

  let res = logand is_lt_order (lognot is_eq_zero) in
  logand_lemma is_lt_order (lognot is_eq_zero);
  assert (v res == (if 0 < as_nat h0 f && as_nat h0 f < S.order then ones_v U64 else 0));
  res
val bn_is_lt_order_and_gt_zero_mask4: f:felem -> Stack uint64
  (requires fun h -> live h f)
  (ensures  fun h0 r h1 -> modifies0 h0 h1 /\
    (if 0 < as_nat h0 f && as_nat h0 f < S.order then v r = ones_v U64 else v r = 0))
let bn_is_lt_order_and_gt_zero_mask4 f =
let h0 = ST.get () in
let is_lt_order = bn_is_lt_order_mask4 f in
assert (v is_lt_order = (if as_nat h0 f < S.order then ones_v U64 else 0));
let is_eq_zero = bn_is_zero_mask4 f in
assert (v is_eq_zero = (if as_nat h0 f = 0 then ones_v U64 else 0));
lognot_lemma is_eq_zero;
assert (v (lognot is_eq_zero) = (if 0 < as_nat h0 f then ones_v U64 else 0));
let res = logand is_lt_order (lognot is_eq_zero) in
logand_lemma is_lt_order (lognot is_eq_zero);
assert (v res == (if 0 < as_nat h0 f && as_nat h0 f < S.order then ones_v U64 else 0));
res
Hacl.Impl.P256.Scalar.fst.checked
Spec.P256.fst.checked prims.fst.checked Lib.IntTypes.fsti.checked Lib.ByteBuffer.fsti.checked Lib.Buffer.fsti.checked Hacl.Spec.P256.Montgomery.fsti.checked Hacl.Spec.Bignum.Definitions.fst.checked Hacl.Impl.P256.Constants.fst.checked Hacl.Impl.P256.Bignum.fsti.checked Hacl.Bignum256.fst.checked Hacl.Bignum.Montgomery.fsti.checked FStar.UInt32.fsti.checked FStar.Pervasives.fsti.checked FStar.Mul.fst.checked FStar.Math.Lemmas.fst.checked FStar.HyperStack.ST.fsti.checked FStar.HyperStack.All.fst.checked FStar.HyperStack.fst.checked
Hacl.Impl.P256.Scalar.fst
Hacl.Impl.P256.Bignum.felem Prims.unit Prims._assert Prims.eq2 Prims.int Lib.IntTypes.v Lib.IntTypes.U64 Lib.IntTypes.SEC Prims.op_AmpAmp Prims.op_LessThan Hacl.Impl.P256.Bignum.as_nat Spec.P256.PointOps.order Lib.IntTypes.ones_v Prims.bool Lib.IntTypes.logand_lemma Lib.IntTypes.lognot Lib.IntTypes.int_t Lib.IntTypes.logand Prims.b2t Prims.op_Equality Lib.IntTypes.lognot_lemma Lib.IntTypes.uint64 Hacl.Impl.P256.Bignum.bn_is_zero_mask4 Hacl.Impl.P256.Scalar.bn_is_lt_order_mask4 FStar.Monotonic.HyperStack.mem FStar.HyperStack.ST.get
module Hacl.Impl.P256.Scalar

open FStar.Mul
open FStar.HyperStack.All
open FStar.HyperStack
module ST = FStar.HyperStack.ST

open Lib.IntTypes
open Lib.Buffer

open Hacl.Impl.P256.Bignum
open Hacl.Impl.P256.Constants

module S = Spec.P256
module SM = Hacl.Spec.P256.Montgomery

module BD = Hacl.Spec.Bignum.Definitions
module BM = Hacl.Bignum.Montgomery

friend Hacl.Bignum256

#reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"

///  Create one

[@CInline]
let make_qone f =
  [@inline_let] let f0 = u64 0xc46353d039cdaaf in
  [@inline_let] let f1 = u64 0x4319055258e8617b in
  [@inline_let] let f2 = u64 0x0 in
  [@inline_let] let f3 = u64 0xffffffff in
  assert_norm (v f0 + v f1 * pow2 64 + v f2 * pow2 128 + v f3 * pow2 192 < S.order);
  assert_norm (v f0 + v f1 * pow2 64 + v f2 * pow2 128 + v f3 * pow2 192 == SM.to_qmont 1);
  SM.lemma_to_from_qmont_id 1;
  bn_make_u64_4 f f0 f1 f2 f3


///  Comparison

[@CInline]
let bn_is_lt_order_mask4 f =
  let h0 = ST.get () in
  push_frame ();
  let tmp = create_felem () in
  make_order tmp;
  let c = bn_sub4 tmp f tmp in
  assert (if v c = 0 then as_nat h0 f >= S.order else as_nat h0 f < S.order);
  pop_frame ();
  u64 0 -. c
val bn_is_lt_order_and_gt_zero_mask4: f:felem -> Stack uint64
  (requires fun h -> live h f)
  (ensures  fun h0 r h1 -> modifies0 h0 h1 /\
    (if 0 < as_nat h0 f && as_nat h0 f < S.order then v r = ones_v U64 else v r = 0))
f: Hacl.Impl.P256.Bignum.felem -> FStar.HyperStack.ST.Stack Lib.IntTypes.uint64