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//===- Automaton.td ----------------------------------------*- tablegen -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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//
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// This file defines the key top-level classes needed to produce a reasonably
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// generic finite-state automaton.
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//
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//===----------------------------------------------------------------------===//
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// Define a record inheriting from GenericAutomaton to generate a reasonably
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// generic finite-state automaton over a set of actions and states.
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//
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// This automaton is defined by:
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//   1) a state space (explicit, always bits<32>).
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//   2) a set of input symbols (actions, explicit) and
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//   3) a transition function from state + action -> state.
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//
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// A theoretical automaton is defined by <Q, S, d, q0, F>:
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//   Q: A set of possible states.
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//   S: (sigma) The input alphabet.
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//   d: (delta) The transition function f(q in Q, s in S) -> q' in Q.
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//   F: The set of final (accepting) states.
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//
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// Because generating all possible states is tedious, we instead define the
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// transition function only and crawl all reachable states starting from the
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// initial state with all inputs under all transitions until termination.
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//
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// We define F = S, that is, all valid states are accepting.
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//
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// To ensure the generation of the automaton terminates, the state transitions
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// are defined as a lattice (meaning every transitioned-to state is more
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// specific than the transitioned-from state, for some definition of specificity).
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// Concretely a transition may set one or more bits in the state that were
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// previously zero to one. If any bit was not zero, the transition is invalid.
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//
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// Instead of defining all possible states (which would be cumbersome), the user
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// provides a set of possible Transitions from state A, consuming an input
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// symbol A to state B. The Transition object transforms state A to state B and
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// acts as a predicate. This means the state space can be discovered by crawling
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// all the possible transitions until none are valid.
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//
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// This automaton is considered to be nondeterministic, meaning that multiple
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// transitions can occur from any (state, action) pair. The generated automaton
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// is determinized, meaning that is executes in O(k) time where k is the input
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// sequence length.
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//
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// In addition to a generated automaton that determines if a sequence of inputs
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// is accepted or not, a table is emitted that allows determining a plausible
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// sequence of states traversed to accept that input.
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class GenericAutomaton {
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  // Name of a class that inherits from Transition. All records inheriting from
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  // this class will be considered when constructing the automaton.
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  string TransitionClass;
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  // Names of fields within TransitionClass that define the action symbol. This
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  // defines the action as an N-tuple.
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  //
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  // Each symbol field can be of class, int, string or code type.
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  //   If the type of a field is a class, the Record's name is used verbatim
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  //     in C++ and the class name is used as the C++ type name.
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  //   If the type of a field is a string, code or int, that is also used
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  //     verbatim in C++.
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  //
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  // To override the C++ type name for field F, define a field called TypeOf_F.
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  // This should be a string that will be used verbatim in C++.
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  //
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  // As an example, to define a 2-tuple with an enum and a string, one might:
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  //   def MyTransition : Transition {
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  //     MyEnum S1;
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  //     int S2;
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  //   }
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  //   def MyAutomaton : GenericAutomaton }{
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  //     let TransitionClass = "Transition";
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  //     let SymbolFields = ["S1", "S2"];
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  //     let TypeOf_S1 = "MyEnumInCxxKind";
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  //   }
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  list<string> SymbolFields;
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}
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// All transitions inherit from Transition.
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class Transition {
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  // A transition S' = T(S) is valid if, for every set bit in NewState, the
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  // corresponding bit in S is clear. That is:
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  //   def T(S):
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  //     S' = S | NewState
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  //     return S' if S' != S else Failure
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  //
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  // The automaton generator uses this property to crawl the set of possible
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  // transitions from a starting state of 0b0.
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  bits<32> NewState;
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}