pub(crate) mod query_context;
#[cfg(test)]
mod tests;

use crate::{
    layout::{self, dfa, Byte, Def, Dfa, Nfa, Ref, Tree, Uninhabited},
    maybe_transmutable::query_context::QueryContext,
    Answer, Condition, Map, Reason,
};

pub(crate) struct MaybeTransmutableQuery<L, C>
where
    C: QueryContext,
{
    src: L,
    dst: L,
    assume: crate::Assume,
    context: C,
}

impl<L, C> MaybeTransmutableQuery<L, C>
where
    C: QueryContext,
{
    pub(crate) fn new(src: L, dst: L, assume: crate::Assume, context: C) -> Self {
        Self { src, dst, assume, context }
    }
}

// FIXME: Nix this cfg, so we can write unit tests independently of rustc
#[cfg(feature = "rustc")]
mod rustc {
    use super::*;
    use crate::layout::tree::rustc::Err;

    use rustc_middle::ty::Ty;
    use rustc_middle::ty::TyCtxt;

    impl<'tcx> MaybeTransmutableQuery<Ty<'tcx>, TyCtxt<'tcx>> {
        /// This method begins by converting `src` and `dst` from `Ty`s to `Tree`s,
        /// then computes an answer using those trees.
        #[instrument(level = "debug", skip(self), fields(src = ?self.src, dst = ?self.dst))]
        pub fn answer(self) -> Answer<<TyCtxt<'tcx> as QueryContext>::Ref> {
            let Self { src, dst, assume, context } = self;

            // Convert `src` and `dst` from their rustc representations, to `Tree`-based
            // representations. If these conversions fail, conclude that the transmutation is
            // unacceptable; the layouts of both the source and destination types must be
            // well-defined.
            let src = Tree::from_ty(src, context);
            let dst = Tree::from_ty(dst, context);

            match (src, dst) {
                (Err(Err::TypeError(_)), _) | (_, Err(Err::TypeError(_))) => {
                    Answer::No(Reason::TypeError)
                }
                (Err(Err::UnknownLayout), _) => Answer::No(Reason::SrcLayoutUnknown),
                (_, Err(Err::UnknownLayout)) => Answer::No(Reason::DstLayoutUnknown),
                (Err(Err::NotYetSupported), _) => Answer::No(Reason::SrcIsNotYetSupported),
                (_, Err(Err::NotYetSupported)) => Answer::No(Reason::DstIsNotYetSupported),
                (Err(Err::SizeOverflow), _) => Answer::No(Reason::SrcSizeOverflow),
                (_, Err(Err::SizeOverflow)) => Answer::No(Reason::DstSizeOverflow),
                (Ok(src), Ok(dst)) => MaybeTransmutableQuery { src, dst, assume, context }.answer(),
            }
        }
    }
}

impl<C> MaybeTransmutableQuery<Tree<<C as QueryContext>::Def, <C as QueryContext>::Ref>, C>
where
    C: QueryContext,
{
    /// Answers whether a `Tree` is transmutable into another `Tree`.
    ///
    /// This method begins by de-def'ing `src` and `dst`, and prunes private paths from `dst`,
    /// then converts `src` and `dst` to `Nfa`s, and computes an answer using those NFAs.
    #[inline(always)]
    #[instrument(level = "debug", skip(self), fields(src = ?self.src, dst = ?self.dst))]
    pub(crate) fn answer(self) -> Answer<<C as QueryContext>::Ref> {
        let Self { src, dst, assume, context } = self;

        // Unconditionally all `Def` nodes from `src`, without pruning away the
        // branches they appear in. This is valid to do for value-to-value
        // transmutations, but not for `&mut T` to `&mut U`; we will need to be
        // more sophisticated to handle transmutations between mutable
        // references.
        let src = src.prune(&|def| false);

        trace!(?src, "pruned src");

        // Remove all `Def` nodes from `dst`, additionally...
        let dst = if assume.safety {
            // ...if safety is assumed, don't check if they carry safety
            // invariants; retain all paths.
            dst.prune(&|def| false)
        } else {
            // ...otherwise, prune away all paths with safety invariants from
            // the `Dst` layout.
            dst.prune(&|def| def.has_safety_invariants())
        };

        trace!(?dst, "pruned dst");

        // Convert `src` from a tree-based representation to an NFA-based
        // representation. If the conversion fails because `src` is uninhabited,
        // conclude that the transmutation is acceptable, because instances of
        // the `src` type do not exist.
        let src = match Nfa::from_tree(src) {
            Ok(src) => src,
            Err(Uninhabited) => return Answer::Yes,
        };

        // Convert `dst` from a tree-based representation to an NFA-based
        // representation. If the conversion fails because `src` is uninhabited,
        // conclude that the transmutation is unacceptable. Valid instances of
        // the `dst` type do not exist, either because it's genuinely
        // uninhabited, or because there are no branches of the tree that are
        // free of safety invariants.
        let dst = match Nfa::from_tree(dst) {
            Ok(dst) => dst,
            Err(Uninhabited) => return Answer::No(Reason::DstMayHaveSafetyInvariants),
        };

        MaybeTransmutableQuery { src, dst, assume, context }.answer()
    }
}

impl<C> MaybeTransmutableQuery<Nfa<<C as QueryContext>::Ref>, C>
where
    C: QueryContext,
{
    /// Answers whether a `Nfa` is transmutable into another `Nfa`.
    ///
    /// This method converts `src` and `dst` to DFAs, then computes an answer using those DFAs.
    #[inline(always)]
    #[instrument(level = "debug", skip(self), fields(src = ?self.src, dst = ?self.dst))]
    pub(crate) fn answer(self) -> Answer<<C as QueryContext>::Ref> {
        let Self { src, dst, assume, context } = self;
        let src = Dfa::from_nfa(src);
        let dst = Dfa::from_nfa(dst);
        MaybeTransmutableQuery { src, dst, assume, context }.answer()
    }
}

impl<C> MaybeTransmutableQuery<Dfa<<C as QueryContext>::Ref>, C>
where
    C: QueryContext,
{
    /// Answers whether a `Dfa` is transmutable into another `Dfa`.
    pub(crate) fn answer(self) -> Answer<<C as QueryContext>::Ref> {
        self.answer_memo(&mut Map::default(), self.src.start, self.dst.start)
    }

    #[inline(always)]
    #[instrument(level = "debug", skip(self))]
    fn answer_memo(
        &self,
        cache: &mut Map<(dfa::State, dfa::State), Answer<<C as QueryContext>::Ref>>,
        src_state: dfa::State,
        dst_state: dfa::State,
    ) -> Answer<<C as QueryContext>::Ref> {
        if let Some(answer) = cache.get(&(src_state, dst_state)) {
            answer.clone()
        } else {
            debug!(?src_state, ?dst_state);
            debug!(src = ?self.src);
            debug!(dst = ?self.dst);
            debug!(
                src_transitions_len = self.src.transitions.len(),
                dst_transitions_len = self.dst.transitions.len()
            );
            let answer = if dst_state == self.dst.accepting {
                // truncation: `size_of(Src) >= size_of(Dst)`
                //
                // Why is truncation OK to do? Because even though the Src is bigger, all we care about
                // is whether we have enough data for the Dst to be valid in accordance with what its
                // type dictates.
                // For example, in a u8 to `()` transmutation, we have enough data available from the u8
                // to transmute it to a `()` (though in this case does `()` really need any data to
                // begin with? It doesn't). Same thing with u8 to fieldless struct.
                // Now then, why is something like u8 to bool not allowed? That is not because the bool
                // is smaller in size, but rather because those 2 bits that we are re-interpreting from
                // the u8 could introduce invalid states for the bool type.
                //
                // So, if it's possible to transmute to a smaller Dst by truncating, and we can guarantee
                // that none of the actually-used data can introduce an invalid state for Dst's type, we
                // are able to safely transmute, even with truncation.
                Answer::Yes
            } else if src_state == self.src.accepting {
                // extension: `size_of(Src) >= size_of(Dst)`
                if let Some(dst_state_prime) = self.dst.byte_from(dst_state, Byte::Uninit) {
                    self.answer_memo(cache, src_state, dst_state_prime)
                } else {
                    Answer::No(Reason::DstIsTooBig)
                }
            } else {
                let src_quantifier = if self.assume.validity {
                    // if the compiler may assume that the programmer is doing additional validity checks,
                    // (e.g.: that `src != 3u8` when the destination type is `bool`)
                    // then there must exist at least one transition out of `src_state` such that the transmute is viable...
                    Quantifier::ThereExists
                } else {
                    // if the compiler cannot assume that the programmer is doing additional validity checks,
                    // then for all transitions out of `src_state`, such that the transmute is viable...
                    // then there must exist at least one transition out of `dst_state` such that the transmute is viable...
                    Quantifier::ForAll
                };

                let bytes_answer = src_quantifier.apply(
                    // for each of the byte transitions out of the `src_state`...
                    self.src.bytes_from(src_state).unwrap_or(&Map::default()).into_iter().map(
                        |(&src_validity, &src_state_prime)| {
                            // ...try to find a matching transition out of `dst_state`.
                            if let Some(dst_state_prime) =
                                self.dst.byte_from(dst_state, src_validity)
                            {
                                self.answer_memo(cache, src_state_prime, dst_state_prime)
                            } else if let Some(dst_state_prime) =
                                // otherwise, see if `dst_state` has any outgoing `Uninit` transitions
                                // (any init byte is a valid uninit byte)
                                self.dst.byte_from(dst_state, Byte::Uninit)
                            {
                                self.answer_memo(cache, src_state_prime, dst_state_prime)
                            } else {
                                // otherwise, we've exhausted our options.
                                // the DFAs, from this point onwards, are bit-incompatible.
                                Answer::No(Reason::DstIsBitIncompatible)
                            }
                        },
                    ),
                );

                // The below early returns reflect how this code would behave:
                //   if self.assume.validity {
                //       or(bytes_answer, refs_answer)
                //   } else {
                //       and(bytes_answer, refs_answer)
                //   }
                // ...if `refs_answer` was computed lazily. The below early
                // returns can be deleted without impacting the correctness of
                // the algoritm; only its performance.
                debug!(?bytes_answer);
                match bytes_answer {
                    Answer::No(_) if !self.assume.validity => return bytes_answer,
                    Answer::Yes if self.assume.validity => return bytes_answer,
                    _ => {}
                };

                let refs_answer = src_quantifier.apply(
                    // for each reference transition out of `src_state`...
                    self.src.refs_from(src_state).unwrap_or(&Map::default()).into_iter().map(
                        |(&src_ref, &src_state_prime)| {
                            // ...there exists a reference transition out of `dst_state`...
                            Quantifier::ThereExists.apply(
                                self.dst
                                    .refs_from(dst_state)
                                    .unwrap_or(&Map::default())
                                    .into_iter()
                                    .map(|(&dst_ref, &dst_state_prime)| {
                                        if !src_ref.is_mutable() && dst_ref.is_mutable() {
                                            Answer::No(Reason::DstIsMoreUnique)
                                        } else if !self.assume.alignment
                                            && src_ref.min_align() < dst_ref.min_align()
                                        {
                                            Answer::No(Reason::DstHasStricterAlignment {
                                                src_min_align: src_ref.min_align(),
                                                dst_min_align: dst_ref.min_align(),
                                            })
                                        } else if dst_ref.size() > src_ref.size() {
                                            Answer::No(Reason::DstRefIsTooBig {
                                                src: src_ref,
                                                dst: dst_ref,
                                            })
                                        } else {
                                            // ...such that `src` is transmutable into `dst`, if
                                            // `src_ref` is transmutability into `dst_ref`.
                                            and(
                                                Answer::If(Condition::IfTransmutable {
                                                    src: src_ref,
                                                    dst: dst_ref,
                                                }),
                                                self.answer_memo(
                                                    cache,
                                                    src_state_prime,
                                                    dst_state_prime,
                                                ),
                                            )
                                        }
                                    }),
                            )
                        },
                    ),
                );

                if self.assume.validity {
                    or(bytes_answer, refs_answer)
                } else {
                    and(bytes_answer, refs_answer)
                }
            };
            if let Some(..) = cache.insert((src_state, dst_state), answer.clone()) {
                panic!("failed to correctly cache transmutability")
            }
            answer
        }
    }
}

fn and<R>(lhs: Answer<R>, rhs: Answer<R>) -> Answer<R>
where
    R: PartialEq,
{
    match (lhs, rhs) {
        // If both are errors, then we should return the more specific one
        (Answer::No(Reason::DstIsBitIncompatible), Answer::No(reason))
        | (Answer::No(reason), Answer::No(_))
        // If either is an error, return it
        | (Answer::No(reason), _) | (_, Answer::No(reason)) => Answer::No(reason),
        // If only one side has a condition, pass it along
        | (Answer::Yes, other) | (other, Answer::Yes) => other,
        // If both sides have IfAll conditions, merge them
        (Answer::If(Condition::IfAll(mut lhs)), Answer::If(Condition::IfAll(ref mut rhs))) => {
            lhs.append(rhs);
            Answer::If(Condition::IfAll(lhs))
        }
        // If only one side is an IfAll, add the other Condition to it
        (Answer::If(cond), Answer::If(Condition::IfAll(mut conds)))
        | (Answer::If(Condition::IfAll(mut conds)), Answer::If(cond)) => {
            conds.push(cond);
            Answer::If(Condition::IfAll(conds))
        }
        // Otherwise, both lhs and rhs conditions can be combined in a parent IfAll
        (Answer::If(lhs), Answer::If(rhs)) => Answer::If(Condition::IfAll(vec![lhs, rhs])),
    }
}

fn or<R>(lhs: Answer<R>, rhs: Answer<R>) -> Answer<R>
where
    R: PartialEq,
{
    match (lhs, rhs) {
        // If both are errors, then we should return the more specific one
        (Answer::No(Reason::DstIsBitIncompatible), Answer::No(reason))
        | (Answer::No(reason), Answer::No(_)) => Answer::No(reason),
        // Otherwise, errors can be ignored for the rest of the pattern matching
        (Answer::No(_), other) | (other, Answer::No(_)) => or(other, Answer::Yes),
        // If only one side has a condition, pass it along
        (Answer::Yes, other) | (other, Answer::Yes) => other,
        // If both sides have IfAny conditions, merge them
        (Answer::If(Condition::IfAny(mut lhs)), Answer::If(Condition::IfAny(ref mut rhs))) => {
            lhs.append(rhs);
            Answer::If(Condition::IfAny(lhs))
        }
        // If only one side is an IfAny, add the other Condition to it
        (Answer::If(cond), Answer::If(Condition::IfAny(mut conds)))
        | (Answer::If(Condition::IfAny(mut conds)), Answer::If(cond)) => {
            conds.push(cond);
            Answer::If(Condition::IfAny(conds))
        }
        // Otherwise, both lhs and rhs conditions can be combined in a parent IfAny
        (Answer::If(lhs), Answer::If(rhs)) => Answer::If(Condition::IfAny(vec![lhs, rhs])),
    }
}

pub enum Quantifier {
    ThereExists,
    ForAll,
}

impl Quantifier {
    pub fn apply<R, I>(&self, iter: I) -> Answer<R>
    where
        R: layout::Ref,
        I: IntoIterator<Item = Answer<R>>,
    {
        use std::ops::ControlFlow::{Break, Continue};

        let (init, try_fold_f): (_, fn(_, _) -> _) = match self {
            Self::ThereExists => {
                (Answer::No(Reason::DstIsBitIncompatible), |accum: Answer<R>, next| {
                    match or(accum, next) {
                        Answer::Yes => Break(Answer::Yes),
                        maybe => Continue(maybe),
                    }
                })
            }
            Self::ForAll => (Answer::Yes, |accum: Answer<R>, next| {
                let answer = and(accum, next);
                match answer {
                    Answer::No(_) => Break(answer),
                    maybe => Continue(maybe),
                }
            }),
        };

        let (Continue(result) | Break(result)) = iter.into_iter().try_fold(init, try_fold_f);
        result
    }
}