838bfb2ae3
This implement several new options for --dot in order to allow emptiness sets to be output as colored ⓿ or ❶... Also add a SPOT_DOTDEFAULT environment variable. * NEWS, src/bin/man/spot-x.x, src/bin/common_aoutput.cc, src/bin/dstar2tgba.cc: Document the new options. * doc/org/.dir-locals.el, doc/org/init.el.in: Setup SPOT_DOTEXTRA and SPOT_DOTDEFAULT for all documents. * doc/org/autfilt.org, doc/org/dstar2tgba.org, doc/org/ltl2tgba.org, doc/org/ltldo.org, doc/org/oaut.org, doc/org/randaut.org, doc/org/satmin.org: Adjust to this new setup. * src/misc/escape.cc, src/misc/escape.hh (escape_html): New function. * src/tgba/acc.cc, src/tgba/acc.hh (to_text, to_html): New method. * src/tgbaalgos/dotty.cc: Implement the new options. * src/tgbatest/readsave.test, wrap/python/tests/automata.ipynb: More tests. * wrap/python/spot.py: Make sure the default argument for dotty_reachable is None, so that SPOT_DOTDEFAULT is honored.
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randaut
The randaut tool generates random (connected) automata.
By default, it will generate a random TGBA with 10 states, no acceptance sets, and using a set of atomic proposition you have to supply.
randaut a b
As for randltl, you can supply a number of atomic propositions
instead of giving a list of atomic propositions.
States and density
The numbers of states can be controlled using the -S option. This
option will accept a range as argument, so for instance -S3..6 will
generate an automaton with 3 to 6 states.
The number of edges can be controlled using the -d (or
--density) option. The argument should be a number between 0 and 1.
In an automaton with $S$ states and density $d$, the degree of each
state will follow a normal distribution with mean $1+(S-1)d$ and
variance $(S-1)d(1-d)$.
In particular -d0 will cause all states to have 1 successors, and
-d1 will cause all states to be interconnected.
randaut -S3 -d0 2
randaut -S3 -d1 2
Acceptance sets
The generation of acceptance sets is controlled with the following three parameters:
-A(or--acc-sets) controls the number of acceptance sets. This can be given as a range (e.g.-A1..3) in case you want this number to be picked at random in the range.-a(or--acc-probability) controls the probability that any transition belong to a given acceptance set.--state-accrequests that the automaton use state-based acceptance. In this case,-ais the probability that a state belong to the acceptance set. (Because Spot only deals with transition-based acceptance internally, this options force all transitions leaving a state to belong to the same acceptance sets. But if the output format allows state-acceptance, it will be used.)
In addition, -B (or --ba) is a shorthand for -A1 --state-acc.
randaut -S3 -d0.5 -A3 -a0.5 2
randaut -S3 -d0.4 -B -a0.7 2
Determinism
The output can only contain a single edge between two given states. By default, the label of this edge is a random assignment of all atomic propositions. Two edges leaving the same state may therefore have the same label.
If the -D (or --deterministic) option is supplied, the labels
are generated differently: once the degree $m$ of a state has been
decided, the algorithm will compute a set of $m$ disjoint
Boolean formulas over the given atomic propositions, such that the
sum of all these formulas is $\top$. The resulting automaton is
therefore deterministic and complete.
randaut -D -S3 -d0.6 -A2 -a0.5 2
Note that in a deterministic automaton with $a$ atomic propositions,
it is not possible to have states with more than $2^a$ successors. If
the combination of -d and -S allows the situation where a state
can have more than $2^a$ successors, the degree will be clipped to
$2^a$. When working with random deterministic automata over $a$
atomic propositions, we suggest you always request more than $2^a$
states.
Output formats
The output format can be controlled using the common output options
like --hoaf, --dot=, --lbtt, and --spin. Note that --spin
automatically implies --ba.
Generating a stream of automata
Use option -n to specify a number of automata to build. A negative
value will cause an infinite number of automata to be produced. This
generation of multiple automata is probably useful only with --hoaf,
when piped to another tool that can read this format and process
automata in batches.