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spot/tests/core/alternating.test
Alexandre Duret-Lutz 4855d3c877 dot: add an option to output id= attributes 
This will be handy latter to develop widgets with interactive
highlighting of automata.

* spot/twaalgos/dot.cc: Implement it.
* bin/common_aoutput.cc, NEWS, doc/org/oaut.org,
doc/org/spot.css: Document it.
* tests/core/alternating.test, tests/core/readsave.test,
tests/core/sccdot.test: Test it.
2021-09-03 22:38:24 +02:00

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#!/bin/sh
# -*- coding: utf-8 -*-
# Copyright (C) 2016-2018, 2020-2021 Laboratoire de Recherche et
# Développement de l'Epita (LRDE).
#
# 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 >alt.hoa <<EOF
HOA: v1.1
States: 7
Start: 0&2
acc-name: co-Buchi
Acceptance: 1 Fin(0)
AP: 2 "b" "a"
properties: trans-labels explicit-labels state-acc univ-branch very-weak
spot.highlight.edges: 2 5 7 2
--BODY--
State: 0 "((((a) U (b)) && GF(b)) && FG(a))"
[(0)] 3&1
[(!0 & 1)] 5&3&1
State: 1 "FG(a)" {0}
[(1)] 2
[t] 1
State: 2 "G(a)"
[(1)] 2
State: 3 "GF(b)"
[(0)] 3
[(!0)] 4&3
State: 4 "F(b)" {0}
[(0)] 6
[(!0)] 4
State: 5 "((a) U (b))" {0}
[(0)] 6
[(!0 & 1)] 5
State: 6 "t"
[t] 6
--END--
EOF
test "1 2 4" = "`autfilt --stats='%u %[s]u %[e]u' alt.hoa`"
autfilt --has-univ-branch --has-exist-branch --dot=bansi alt.hoa >alt.dot
aho='arrowhead=onormal'
b='style=bold,'
tE='tooltip="\\E'
cat >expect.dot <<EOF
digraph "" {
rankdir=LR
label="Fin(⓿)\n[co-Büchi]"
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
node [id="S\N"]
I [label="", style=invis, width=0]
I -> -11 [$aho]
subgraph cluster_0 {
color=green
id="SCC0"
label=""
2 [label="G(a)"]
}
subgraph cluster_1 {
color=red
id="SCC1"
label=""
1 [label="FG(a)\n⓿"]
}
subgraph cluster_2 {
color=green
id="SCC2"
label=""
6 [label="t"]
}
subgraph cluster_3 {
color=red
id="SCC3"
label=""
4 [label="F(b)\n⓿"]
}
subgraph cluster_4 {
color=green
id="SCC4"
label=""
3 [label="GF(b)"]
-8 [label=<>,shape=point,width=0.05,height=0.05]
}
subgraph cluster_5 {
color=red
id="SCC5"
label=""
5 [label="((a) U (b))\n⓿"]
}
subgraph cluster_6 {
color=black
id="SCC6"
label=""
0 [label="((((a) U (b)) && GF(b)) && FG(a))"]
}
-11 [label=<>,shape=point,width=0.05,height=0.05]
-11 -> 0 [id="E-11E0"]
-11 -> 2 [id="E-11E2"]
0 -> -1 [label="b", id="E1", $tE\n#1", $aho]
-1 [label=<>,shape=point,width=0.05,height=0.05]
-1 -> 1 [id="E-1E1"]
-1 -> 3 [id="E-1E3"]
0 -> -4 [label="a & !b", id="E2", $tE\n#2", $b color="#E31A1C", $aho]
-4 [label=<>,shape=point,width=0.05,height=0.05]
-4 -> 1 [$b color="#E31A1C",id="E-4E1"]
-4 -> 3 [$b color="#E31A1C",id="E-4E3"]
-4 -> 5 [$b color="#E31A1C",id="E-4E5"]
1 -> 2 [label="a", id="E3", $tE\n#3"]
1 -> 1 [label="1", id="E4", $tE\n#4"]
2 -> 2 [label="a", id="E5", $tE\n#5"]
3 -> 3 [label="b", id="E6", $tE\n#6"]
3 -> -8 [label="!b", id="E7", $tE\n#7", $b color="#FF7F00", $aho]
-8 -> 3 [$b color="#FF7F00",id="E-8E3"]
-8 -> 4 [$b color="#FF7F00",id="E-8E4"]
4 -> 6 [label="b", id="E8", $tE\n#8"]
4 -> 4 [label="!b", id="E9", $tE\n#9"]
5 -> 6 [label="b", id="E10", $tE\n#10"]
5 -> 5 [label="a & !b", id="E11", $tE\n#11"]
6 -> 6 [label="1", id="E12", $tE\n#12"]
}
EOF
diff expect.dot alt.dot
autfilt --trust=no --check=strength alt.hoa | grep properties: >output
cat >expected <<EOF
properties: trans-labels explicit-labels state-acc univ-branch
properties: very-weak
EOF
diff output expected
cat >out.hoa <<EOF
HOA: v1
tool: "ltl3dra" "0.2.2"
name: "VWAA for GFa"
States: 3
Start: 0
acc-name: co-Buchi
Acceptance: 1 Fin(0)
AP: 1 "a"
properties: trans-labels explicit-labels state-acc univ-branch very-weak
--BODY--
State: 0 "GF(a)"
[t] 0&1
State: 1 "F(a)" {0}
[(0)] 2
[t] 1
State: 2 "t"
[t] 2
--END--
EOF
test 3 = `autfilt --stats=%s out.hoa`
test 2 = `autfilt --tgba --stats=%s out.hoa`
# If we have a weak input, remove-fin can just transform co-Büchi into
# Büchi.
autfilt --remove-fin out.hoa >res
cat >expected <<EOF
HOA: v1
States: 3
Start: 0
AP: 1 "a"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels state-acc complete univ-branch
properties: very-weak
--BODY--
State: 0 {0}
[t] 0&1
State: 1
[0] 2
[t] 1
State: 2 {0}
[t] 2
--END--
EOF
diff expected res
# If we do not know that the input is weak, remove-fin will call
# remove_alternation().
autfilt --remove-fin --trust-hoa=no out.hoa >res
cat >expected <<EOF
HOA: v1
States: 2
Start: 0
AP: 1 "a"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic
--BODY--
State: 0
[t] 1
State: 1
[!0] 1
[0] 1 {0}
--END--
EOF
diff expected res
cat >ex1<<EOF
HOA: v1
States: 3
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
EOF
cat >ex2<<EOF
HOA: v1
States: 3
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
EOF
cat >ex3<<EOF
HOA: v1
States: 3
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 1
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
EOF
autfilt --has-exist-branch ex3 && exit 1
autfilt -q --equivalent-to=ex1 ex2
autfilt -q --included-in=ex1 ex2
autfilt -q --equivalent-to=ex1 ex3 && exit 1
autfilt -q --intersect=ex1 ex3
cat >ex4<<EOF
HOA: v1
States: 5
Start: 0&2
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&2
State: 1
[t] 1&4
State: 2
[!0] 2 {0}
[0] 3
State: 3
[t] 3
State: 4
--END--
HOA: v1
States: 5
Start: 0&2&4
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&2
State: 1
[t] 1&4
State: 2
[!0] 2 {0}
[0] 3
State: 3
[t] 3
State: 4
--END--
EOF
cat >expect4<<EOF
HOA: v1
States: 3
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
HOA: v1
States: 4
Start: 0&1&3
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
State: 3
--END--
EOF
cat >expect4d<<EOF
HOA: v1
States: 3
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic univ-branch
--BODY--
State: 0
[0] 0
[!0] 0&1
State: 1
[!0] 1 {0}
[0] 2
State: 2
[t] 2
--END--
HOA: v1
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels state-acc deterministic
properties: stutter-invariant weak
--BODY--
State: 0
--END--
EOF
run 0 autfilt --remove-unreachable-states ex4 > out4
diff expect4 out4
run 0 autfilt --remove-dead-states ex4 > out4
diff expect4d out4
cat >ex5<<EOF
HOA: v1
States: 2
Start: 0&1
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
--BODY--
State: 0
State: 1
--END--
HOA: v1
States: 3
Start: 0
AP: 1 "a"
Acceptance: 0 t
--BODY--
State: 0
[0] 1&2
[!0] 1
State: 1
[!0] 1
State: 2
--END--
HOA: v1
States: 4
Start: 0&1
AP: 1 "a"
Acceptance: 0 t
--BODY--
State: 0
[0] 1&2
State: 1
[!0] 1&0&3
State: 2
State: 3
[t] 3
--END--
EOF
run 0 autfilt --remove-dead-states ex5 > out5
cat >expect <<EOF
HOA: v1
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels state-acc deterministic
properties: stutter-invariant weak
--BODY--
State: 0
--END--
HOA: v1
States: 2
Start: 0
AP: 1 "a"
acc-name: all
Acceptance: 0 t
properties: trans-labels explicit-labels state-acc deterministic
--BODY--
State: 0
[!0] 1
State: 1
[!0] 1
--END--
HOA: v1
States: 1
Start: 0
AP: 1 "a"
acc-name: all
Acceptance: 0 t
properties: trans-labels explicit-labels state-acc deterministic
properties: stutter-invariant weak
--BODY--
State: 0
--END--
EOF
diff out5 expect
# Test if split option with color is correct
cat >ex6<<EOF
HOA: v1.1
States: 2
Start: 0&1
AP: 3 "c" "b" "a"
Acceptance: 1 Fin(0)
spot.highlight.edges: 2 1 3 2
--BODY--
State: 0
[!0&!2] 0
[!0&1&2] 0&1
[!0&2] 0&1
State: 1
[1] 1
--END--
EOF
run 0 autfilt --dot='baryf(Lato)' ex6 > ex6.dot
cat >expect6.dot<<EOF
digraph "" {
rankdir=LR
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
fontname="Lato"
node [fontname="Lato"]
edge [fontname="Lato"]
I [label="", style=invis, width=0]
I -> -1 [$aho]
-1 [label=<>,shape=point,width=0.05,height=0.05]
-1 -> 0
-1 -> 1
0 [label=<0>]
0 -> 0 [label=<!a &amp; !c>]
0 -> -1.1 [label=<a &amp; b &amp; !c>, $b color="#FF4DA0", $aho]
-1.1 [label=<>,shape=point,width=0.05,height=0.05]
-1.1 -> 0 [$b color="#FF4DA0"]
-1.1 -> 1 [$b color="#FF4DA0"]
0 -> -1.2 [label=<a &amp; !c>, $b color="#FF7F00", $aho]
-1.2 [label=<>,shape=point,width=0.05,height=0.05]
-1.2 -> 0 [$b color="#FF7F00"]
-1.2 -> 1 [$b color="#FF7F00"]
1 [label=<1>]
1 -> 1 [label=<b>]
}
EOF
diff ex6.dot expect6.dot
cat >ex7<<EOF
HOA: v1
tool: "LTL3HOA"
name: "SLAA for c R (c | G(a & b) | (F!b & F!a))"
States: 5
AP: 3 "c" "a" "b"
Start: 0
Acceptance: 2 Fin(1) & Fin(0)
--BODY--
State: 0 "c R (c | G(a & b) | (F!b & F!a))"
[(0)] 4
[(!0 & !1 & !2)] 0
[(!0 & 1 & 2)] 0&1
[(!0 & 1 & !2)] 0&2
[(!0 & !1 & 2)] 0&3
[(!0 & 1 & 2)] 0&2&3
State: 1 "G(a & b)"
[(1 & 2)] 1
State: 2 "F!a"
[(!1)] 4
[(1)] 2 {1}
State: 3 "F!b"
[(!2)] 4
[(2)] 3 {0}
State: 4 "t"
[t] 4
--END--
EOF
run 0 autfilt --dot='sbarf(Lato)' ex7 > ex7.dot
color='<font color="#1F78B4">⓿</font>'
color1='<font color="#FF4DA0">❶</font>'
cat >expect7.dot<<EOF
digraph "SLAA for c R (c | G(a & b) | (F!b & F!a))" {
rankdir=LR
label=<Fin($color1) &amp; Fin($color)<br/>[Streett-like 2]>
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
fontname="Lato"
node [fontname="Lato"]
edge [fontname="Lato"]
I [label="", style=invis, width=0]
I -> 0
subgraph cluster_0 {
color=green
label=""
4 [label=<t>]
}
subgraph cluster_1 {
color=green
label=""
1 [label=<G(a &amp; b)>]
}
subgraph cluster_2 {
color=red
label=""
2 [label=<F!a>]
}
subgraph cluster_3 {
color=red
label=""
3 [label=<F!b>]
}
subgraph cluster_4 {
color=green
label=""
0 [label=<c R (c | G(a &amp; b) | (F!b &amp; F!a))>]
-1 [label=<>,shape=point,width=0.05,height=0.05]
-4 [label=<>,shape=point,width=0.05,height=0.05]
-7 [label=<>,shape=point,width=0.05,height=0.05]
-10 [label=<>,shape=point,width=0.05,height=0.05]
}
0 -> 4 [label=<c>]
0 -> 0 [label=<!a &amp; !b &amp; !c>]
0 -> -1 [label=<a &amp; b &amp; !c>, $aho]
-1 -> 0
-1 -> 1
0 -> -4 [label=<a &amp; !b &amp; !c>, $aho]
-4 -> 0
-4 -> 2
0 -> -7 [label=<!a &amp; b &amp; !c>, $aho]
-7 -> 0
-7 -> 3
0 -> -10 [label=<a &amp; b &amp; !c>, $aho]
-10 -> 0
-10 -> 2
-10 -> 3
1 -> 1 [label=<a &amp; b>]
2 -> 4 [label=<!a>]
2 -> 2 [label=<a<br/><font color="#FF4DA0">❶</font>>]
3 -> 4 [label=<!b>]
3 -> 3 [label=<b<br/><font color="#1F78B4">⓿</font>>]
4 -> 4 [label=<1>]
}
EOF
diff ex7.dot expect7.dot
cat >ex8<<EOF
HOA: v1
tool: "LTL3HOA"
name: "SLAA for c R (c | G(a & b) | (F!b & F!a))"
States: 5
AP: 3 "c" "a" "b"
Start: 0
Acceptance: 2 Fin(1) & Fin(0)
--BODY--
State: 0 "c R (c | G(a & b) | (F!b & F!a))"
[(0)] 4
[(!0 & !1 & !2)] 0
[(!0 & 1 & 2)] 0&1
[(!0 & 1 & !2)] 0&2
[(!0 & !1 & 2)] 0&3
State: 1 "G(a & b)"
[(1 & 2)] 1
[(!0 & 1 & 2)] 0&2&3
State: 2 "F!a"
[(!1)] 4
[(1)] 2 {1}
State: 3 "F!b"
[(!2)] 4
[(2)] 3 {0}
State: 4 "t"
[t] 4
--END--
EOF
run 0 autfilt --has-exist-branch --dot='sbarf(Lato)' ex8 > ex8.dot
cat >expect8.dot<<EOF
digraph "SLAA for c R (c | G(a & b) | (F!b & F!a))" {
rankdir=LR
label=<Fin($color1) &amp; Fin($color)<br/>[Streett-like 2]>
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
fontname="Lato"
node [fontname="Lato"]
edge [fontname="Lato"]
I [label="", style=invis, width=0]
I -> 0
subgraph cluster_0 {
color=green
label=""
4 [label=<t>]
}
subgraph cluster_1 {
color=red
label=""
2 [label=<F!a>]
}
subgraph cluster_2 {
color=red
label=""
3 [label=<F!b>]
}
subgraph cluster_3 {
color=green
label=""
0 [label=<c R (c | G(a &amp; b) | (F!b &amp; F!a))>]
-1 [label=<>,shape=point,width=0.05,height=0.05]
-4 [label=<>,shape=point,width=0.05,height=0.05]
-7 [label=<>,shape=point,width=0.05,height=0.05]
1 [label=<G(a &amp; b)>]
-10 [label=<>,shape=point,width=0.05,height=0.05]
}
0 -> 4 [label=<c>]
0 -> 0 [label=<!a &amp; !b &amp; !c>]
0 -> -1 [label=<a &amp; b &amp; !c>, $aho]
-1 -> 0
-1 -> 1
0 -> -4 [label=<a &amp; !b &amp; !c>, $aho]
-4 -> 0
-4 -> 2
0 -> -7 [label=<!a &amp; b &amp; !c>, $aho]
-7 -> 0
-7 -> 3
1 -> 1 [label=<a &amp; b>]
1 -> -10 [label=<a &amp; b &amp; !c>, $aho]
-10 -> 0
-10 -> 2
-10 -> 3
2 -> 4 [label=<!a>]
2 -> 2 [label=<a<br/><font color="#FF4DA0">❶</font>>]
3 -> 4 [label=<!b>]
3 -> 3 [label=<b<br/><font color="#1F78B4">⓿</font>>]
4 -> 4 [label=<1>]
}
EOF
diff ex8.dot expect8.dot
cat >ex9 <<EOF
HOA: v1.1
States:3
Start: 0
AP: 3 "c" "b" "a"
Acceptance: 1 Fin(0)
spot.highlight.edges: 1 1 2 1 3 2
--BODY--
State: 0
[0&1] 1&2
State: 1
[1&2] 1&2
State: 2
[!0&!1&!2] 1&2
--END--
EOF
run 0 autfilt -v --has-exist-branch --dot='baryf(Lato)' ex9 > ex9.dot
cat >expect9.dot <<EOF
digraph "" {
rankdir=LR
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
fontname="Lato"
node [fontname="Lato"]
edge [fontname="Lato"]
I [label="", style=invis, width=0]
I -> 0
0 [label=<0>]
0 -> -1.1 [label=<b &amp; c>, $b color="#FF4DA0", $aho]
-1.1 [label=<>,shape=point,width=0.05,height=0.05]
-1.1 -> 1 [$b color="#FF4DA0"]
-1.1 -> 2 [$b color="#FF4DA0"]
1 [label=<1>]
1 -> -1.1 [label=<a &amp; b>, $b color="#FF4DA0", $aho]
2 [label=<2>]
2 -> -1.2 [label=<!a &amp; !b &amp; !c>, $b color="#FF7F00", $aho]
-1.2 [label=<>,shape=point,width=0.05,height=0.05]
-1.2 -> 1 [$b color="#FF7F00"]
-1.2 -> 2 [$b color="#FF7F00"]
}
EOF
diff ex9.dot expect9.dot
cat >ex10 <<EOF
HOA: v1.1
States:3
Start: 0
AP: 3 "c" "b" "a"
Acceptance: 1 Fin(0)
spot.highlight.edges: 1 1 2 3 3 2
--BODY--
State: 0
[0&1] 1&2
State: 1
[1&2] 1&2
State: 2
[!0&!1&!2] 1&2
--END--
EOF
run 0 autfilt --dot='baryf(Lato)' ex10 > ex10.dot
cat >expect10.dot <<EOF
digraph "" {
rankdir=LR
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
fontname="Lato"
node [fontname="Lato"]
edge [fontname="Lato"]
I [label="", style=invis, width=0]
I -> 0
0 [label=<0>]
0 -> -1.1 [label=<b &amp; c>, $b color="#FF4DA0", $aho]
-1.1 [label=<>,shape=point,width=0.05,height=0.05]
-1.1 -> 1 [$b color="#FF4DA0"]
-1.1 -> 2 [$b color="#FF4DA0"]
1 [label=<1>]
1 -> -1.3 [label=<a &amp; b>, $b color="#6A3D9A", $aho]
-1.3 [label=<>,shape=point,width=0.05,height=0.05]
-1.3 -> 1 [$b color="#6A3D9A"]
-1.3 -> 2 [$b color="#6A3D9A"]
2 [label=<2>]
2 -> -1.2 [label=<!a &amp; !b &amp; !c>, $b color="#FF7F00", $aho]
-1.2 [label=<>,shape=point,width=0.05,height=0.05]
-1.2 -> 1 [$b color="#FF7F00"]
-1.2 -> 2 [$b color="#FF7F00"]
}
EOF
diff ex10.dot expect10.dot
cat >ex11 <<EOF
HOA: v1
tool: "LTL3HOA"
name: "SLAA for G((b & Fa) | (!b & G!a))"
States: 4
AP: 2 "b" "a"
Start: 0
Acceptance: 1 Fin(0)
--BODY--
State: 0 "G((b & Fa) | (!b & G!a))"
[(0 & 1)] 0
[(0 & !1)] 0&1
[(!0 & !1)] 0&2
State: 1 "Fa"
[(1)] 3
[(!1)] 1 {1}
State: 2 "G!a"
[(!1)] 2
State: 3 "t"
[t] 3
--END--
EOF
run 2 autfilt --dot='sbarf(Lato)' ex11 > ex11.dot
cat >expect11.dot <<EOF
digraph "SLAA for G((b & Fa) | (!b & G!a))" {
rankdir=LR
label=<Fin(<font color="#1F78B4">⓿</font>)<br/>[co-Büchi]>
labelloc="t"
node [shape="box",style="rounded",width="0.5"]
fontname="Lato"
node [fontname="Lato"]
edge [fontname="Lato"]
I [label="", style=invis, width=0]
I -> 0
subgraph cluster_0 {
color=green
label=""
3 [label=<t>]
}
subgraph cluster_1 {
color=green
label=""
1 [label=<Fa>]
}
subgraph cluster_2 {
color=green
label=""
2 [label=<G!a>]
}
subgraph cluster_3 {
color=green
label=""
0 [label=<G((b &amp; Fa) | (!b &amp; G!a))>]
-1 [label=<>,shape=point,width=0.05,height=0.05]
-4 [label=<>,shape=point,width=0.05,height=0.05]
}
0 -> 0 [label=<a &amp; b>]
0 -> -1 [label=<!a &amp; b>, $aho]
-1 -> 0
-1 -> 1
0 -> -4 [label=<!a &amp; !b>, $aho]
-4 -> 0
-4 -> 2
1 -> 3 [label=<a>]
1 -> 1 [label=<!a>]
2 -> 2 [label=<!a>]
3 -> 3 [label=<1>]
}
EOF
diff ex11.dot expect11.dot
# Detect cases where alternation-removal cannot work.
cat >in <<EOF
HOA: v1
name: "SLAA for p1 & FGp1"
States: 3
Start: 0&1
AP: 1 "p1"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc deterministic
properties: univ-branch
--BODY--
State: 0 "p1"
[0] 2
State: 1 "FGp1"
[0] 1
[!0] 1 {0}
State: 2 "t"
[t] 2
--END--
EOF
autfilt --tgba in 2>out && exit 1
grep 'autfilt.*weak.*alternating' out
test '0 2 2 1' = "`autfilt --stats='%[Wiw]c %[w]c %[iw]c %[W]c' in`"
cat >in <<EOF
HOA: v1
States: 4
AP: 2 "a" "b"
Start: 0&1
Acceptance: 1 Inf(0)
--BODY--
State: 0 {0}
[0] 2
State: 2 /*{0}*/
[0] 0
State: 1 {0}
[1] 3
State: 3 /*{0}*/
[1] 1
--END--
EOF
autfilt --tgba in 2>out && exit 1
grep 'autfilt.*weak.*alternating' out
test '2 0 2 2' = "`autfilt --stats='%[Wiw]c %[w]c %[iw]c %[W]c' in`"
cat >in <<EOF
HOA: v1
States: 2
AP: 1 "a"
Start: 0
Acceptance: 1 Inf(0)
--BODY--
State: 0
[0] 1&0 {0}
[!0] 0
State: 1
[t] 0&1
--END--
EOF
test '0 1 1 0 0' = "`autfilt --stats='%[iw]c %[W]c %[c]c %[C]c %[t]c' in`"
cat >in <<EOF
HOA: v1
States: 3
AP: 1 "a"
Start: 0
Acceptance: 1 Inf(0)
--BODY--
State: 0
[t] 0&1
State: 1
[0] 1&2 {0}
[!0] 1
State: 2
[t] 2&1
--END--
EOF
test '1 1 1 1 0' = "`autfilt --stats='%[iw]c %[W]c %[c]c %[C]c %[t]c' in`"
cat >in <<EOF
HOA: v1
States: 3
AP: 1 "a"
Start: 0
Acceptance: 1 Inf(0)
--BODY--
State: 0
[t] 0&1
State: 1 {0}
[0] 1&2
[!0] 1
State: 2 {0}
[t] 2&1
--END--
EOF
stats='%[iw]c_%[W]c_%[c]c_%[C]c_%[t]c_%U_%[e]U_%[s]U'
test '2_0_1_1_1_1_3_3' = "`autfilt --stats=$stats in`"
autfilt --stats='%[x]U' in 2>stderr && exit2
grep '%\[x\]U' stderr
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