#!/bin/sh
# -*- coding: utf-8 -*-
# Copyright (C) by the Spot authors, see the AUTHORS file for details.
#
# This file is part of Spot, a model checking library.
#
# Spot is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or
# (at your option) any later version.
#
# Spot is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
# or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
# License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <http://www.gnu.org/licenses/>.

. ./defs
set -e

cat >formulas <<EOF
0
!(F!p1 M 1)
(Gp0 | Fp1) M 1
F!(!p1 <-> FGp1)
Gp1 U (p1 U GFp1)
(!p1 U p1) U X(!p0 -> Fp1)
(p1 | (Fp0 R (p1 W p0))) M 1
!G(F(p1 & Fp0) W p1)
X(!p0 W Xp1)
1 U (p0 xor p1)
GF(p0)
FG(p0)
EOF

ltl2tgba -F formulas --check=semi-det -Hl |
  sed 's/deterministic.*/deterministic/g;s/.* //g' >out

cat out
cat >expected <<EOF
deterministic
deterministic
semi-deterministic
deterministic
deterministic
semi-deterministic
deterministic
semi-deterministic
--END--
deterministic
deterministic
semi-deterministic
EOF
diff out expected

ltl2tgba -F formulas | autfilt --is-semi-det --stats=%M >out
cat out
cat >expected <<EOF
0
Gp1
F(p1 | Gp0)
F((!p1 & GF!p1) | (p1 & FGp1))
GFp1
Fp1 U X(p0 | Fp1)
F(p1 | (Fp0 R (p1 W p0)))
F(!p1 & G(!p1 | G!p0))
F((p0 & !p1) | (!p0 & p1))
GFp0
FGp0
EOF
diff out expected

ltl2tgba -F formulas | autfilt -v --is-semi-det --stats=%M >out
cat out
cat >expected <<EOF
X(!p0 W Xp1)
EOF
diff out expected


# This automaton becomes semi-deterministic once simplified with
# simulation-based reductions.
cat >ex <<EOF
HOA: v1
AP: 2 "a" "b"
Start: 0
States: 6
Acceptance: 1 Inf(0)
--BODY--
State: 0
[!0] 0
[0] 1
[1] 5
State: 1 {0}
[0] 1
State: 2
[!1] 4
State: 3
[1] 4
State: 4 {0}
[!0] 4
State: 5 {0}
[!1] 5
[1] 2
[1] 3
--END--
EOF

autfilt -H1.1 ex -v --is-semi-det > out
autfilt -H1.1 --small out >out2
autfilt --trust=no -H1.1 --is-semi-det out2