diff --git a/src/librustc_mir_build/hair/pattern/_match.rs b/src/librustc_mir_build/hair/pattern/_match.rs index 6ac5d41ec6135..18b92bf29bf1b 100644 --- a/src/librustc_mir_build/hair/pattern/_match.rs +++ b/src/librustc_mir_build/hair/pattern/_match.rs @@ -4,8 +4,8 @@ //! This file includes the logic for exhaustiveness and usefulness checking for //! pattern-matching. Specifically, given a list of patterns for a type, we can //! tell whether: -//! (a) the patterns cover every possible constructor for the type [exhaustiveness] -//! (b) each pattern is necessary [usefulness] +//! (a) the patterns cover every possible constructor for the type (exhaustiveness) +//! (b) each pattern is necessary (usefulness) //! //! The algorithm implemented here is a modified version of the one described in: //! http://moscova.inria.fr/~maranget/papers/warn/index.html @@ -101,53 +101,54 @@ //! To match the paper, the top of the stack is at the beginning / on the left. //! //! There are two important operations on pattern-stacks necessary to understand the algorithm: -//! 1. We can pop a given constructor off the top of a stack. This operation is called -//! `specialize`, and is denoted `S(c, p)` where `c` is a constructor (like `Some` or -//! `None`) and `p` a pattern-stack. -//! If the pattern on top of the stack can cover `c`, this removes the constructor and -//! pushes its arguments onto the stack. It also expands OR-patterns into distinct patterns. -//! Otherwise the pattern-stack is discarded. -//! This essentially filters those pattern-stacks whose top covers the constructor `c` and -//! discards the others. //! -//! For example, the first pattern above initially gives a stack `[(Some(true), _)]`. If we -//! pop the tuple constructor, we are left with `[Some(true), _]`, and if we then pop the -//! `Some` constructor we get `[true, _]`. If we had popped `None` instead, we would get -//! nothing back. +//! 1. We can pop a given constructor off the top of a stack. This operation is called +//! `specialize`, and is denoted `S(c, p)` where `c` is a constructor (like `Some` or +//! `None`) and `p` a pattern-stack. +//! If the pattern on top of the stack can cover `c`, this removes the constructor and +//! pushes its arguments onto the stack. It also expands OR-patterns into distinct patterns. +//! Otherwise the pattern-stack is discarded. +//! This essentially filters those pattern-stacks whose top covers the constructor `c` and +//! discards the others. //! -//! This returns zero or more new pattern-stacks, as follows. We look at the pattern `p_1` -//! on top of the stack, and we have four cases: -//! 1.1. `p_1 = c(r_1, .., r_a)`, i.e. the top of the stack has constructor `c`. We -//! push onto the stack the arguments of this constructor, and return the result: -//! r_1, .., r_a, p_2, .., p_n -//! 1.2. `p_1 = c'(r_1, .., r_a')` where `c ≠ c'`. We discard the current stack and -//! return nothing. -//! 1.3. `p_1 = _`. We push onto the stack as many wildcards as the constructor `c` has -//! arguments (its arity), and return the resulting stack: -//! _, .., _, p_2, .., p_n -//! 1.4. `p_1 = r_1 | r_2`. We expand the OR-pattern and then recurse on each resulting -//! stack: -//! S(c, (r_1, p_2, .., p_n)) -//! S(c, (r_2, p_2, .., p_n)) +//! For example, the first pattern above initially gives a stack `[(Some(true), _)]`. If we +//! pop the tuple constructor, we are left with `[Some(true), _]`, and if we then pop the +//! `Some` constructor we get `[true, _]`. If we had popped `None` instead, we would get +//! nothing back. //! -//! 2. We can pop a wildcard off the top of the stack. This is called `D(p)`, where `p` is -//! a pattern-stack. -//! This is used when we know there are missing constructor cases, but there might be -//! existing wildcard patterns, so to check the usefulness of the matrix, we have to check -//! all its *other* components. +//! This returns zero or more new pattern-stacks, as follows. We look at the pattern `p_1` +//! on top of the stack, and we have four cases: +//! 1.1. `p_1 = c(r_1, .., r_a)`, i.e. the top of the stack has constructor `c`. We +//! push onto the stack the arguments of this constructor, and return the result: +//! r_1, .., r_a, p_2, .., p_n +//! 1.2. `p_1 = c'(r_1, .., r_a')` where `c ≠ c'`. We discard the current stack and +//! return nothing. +//! 1.3. `p_1 = _`. We push onto the stack as many wildcards as the constructor `c` has +//! arguments (its arity), and return the resulting stack: +//! _, .., _, p_2, .., p_n +//! 1.4. `p_1 = r_1 | r_2`. We expand the OR-pattern and then recurse on each resulting +//! stack: +//! S(c, (r_1, p_2, .., p_n)) +//! S(c, (r_2, p_2, .., p_n)) //! -//! It is computed as follows. We look at the pattern `p_1` on top of the stack, -//! and we have three cases: -//! 1.1. `p_1 = c(r_1, .., r_a)`. We discard the current stack and return nothing. -//! 1.2. `p_1 = _`. We return the rest of the stack: -//! p_2, .., p_n -//! 1.3. `p_1 = r_1 | r_2`. We expand the OR-pattern and then recurse on each resulting -//! stack. -//! D((r_1, p_2, .., p_n)) -//! D((r_2, p_2, .., p_n)) +//! 2. We can pop a wildcard off the top of the stack. This is called `D(p)`, where `p` is +//! a pattern-stack. +//! This is used when we know there are missing constructor cases, but there might be +//! existing wildcard patterns, so to check the usefulness of the matrix, we have to check +//! all its *other* components. //! -//! Note that the OR-patterns are not always used directly in Rust, but are used to derive the -//! exhaustive integer matching rules, so they're written here for posterity. +//! It is computed as follows. We look at the pattern `p_1` on top of the stack, +//! and we have three cases: +//! 1.1. `p_1 = c(r_1, .., r_a)`. We discard the current stack and return nothing. +//! 1.2. `p_1 = _`. We return the rest of the stack: +//! p_2, .., p_n +//! 1.3. `p_1 = r_1 | r_2`. We expand the OR-pattern and then recurse on each resulting +//! stack. +//! D((r_1, p_2, .., p_n)) +//! D((r_2, p_2, .., p_n)) +//! +//! Note that the OR-patterns are not always used directly in Rust, but are used to derive the +//! exhaustive integer matching rules, so they're written here for posterity. //! //! Both those operations extend straightforwardly to a list or pattern-stacks, i.e. a matrix, by //! working row-by-row. Popping a constructor ends up keeping only the matrix rows that start with @@ -168,66 +169,66 @@ //! //! Inductive step. (`n > 0`, i.e., whether there's at least one column //! [which may then be expanded into further columns later]) -//! We're going to match on the top of the new pattern-stack, `p_1`. -//! - If `p_1 == c(r_1, .., r_a)`, i.e. we have a constructor pattern. -//! Then, the usefulness of `p_1` can be reduced to whether it is useful when -//! we ignore all the patterns in the first column of `P` that involve other constructors. -//! This is where `S(c, P)` comes in: -//! `U(P, p) := U(S(c, P), S(c, p))` -//! This special case is handled in `is_useful_specialized`. +//! We're going to match on the top of the new pattern-stack, `p_1`. +//! - If `p_1 == c(r_1, .., r_a)`, i.e. we have a constructor pattern. +//! Then, the usefulness of `p_1` can be reduced to whether it is useful when +//! we ignore all the patterns in the first column of `P` that involve other constructors. +//! This is where `S(c, P)` comes in: +//! `U(P, p) := U(S(c, P), S(c, p))` +//! This special case is handled in `is_useful_specialized`. //! -//! For example, if `P` is: -//! [ -//! [Some(true), _], -//! [None, 0], -//! ] -//! and `p` is [Some(false), 0], then we don't care about row 2 since we know `p` only -//! matches values that row 2 doesn't. For row 1 however, we need to dig into the -//! arguments of `Some` to know whether some new value is covered. So we compute -//! `U([[true, _]], [false, 0])`. +//! For example, if `P` is: +//! [ +//! [Some(true), _], +//! [None, 0], +//! ] +//! and `p` is [Some(false), 0], then we don't care about row 2 since we know `p` only +//! matches values that row 2 doesn't. For row 1 however, we need to dig into the +//! arguments of `Some` to know whether some new value is covered. So we compute +//! `U([[true, _]], [false, 0])`. //! -//! - If `p_1 == _`, then we look at the list of constructors that appear in the first -//! component of the rows of `P`: -//! + If there are some constructors that aren't present, then we might think that the -//! wildcard `_` is useful, since it covers those constructors that weren't covered -//! before. -//! That's almost correct, but only works if there were no wildcards in those first -//! components. So we need to check that `p` is useful with respect to the rows that -//! start with a wildcard, if there are any. This is where `D` comes in: -//! `U(P, p) := U(D(P), D(p))` +//! - If `p_1 == _`, then we look at the list of constructors that appear in the first +//! component of the rows of `P`: +//! + If there are some constructors that aren't present, then we might think that the +//! wildcard `_` is useful, since it covers those constructors that weren't covered +//! before. +//! That's almost correct, but only works if there were no wildcards in those first +//! components. So we need to check that `p` is useful with respect to the rows that +//! start with a wildcard, if there are any. This is where `D` comes in: +//! `U(P, p) := U(D(P), D(p))` //! -//! For example, if `P` is: -//! [ -//! [_, true, _], -//! [None, false, 1], -//! ] -//! and `p` is [_, false, _], the `Some` constructor doesn't appear in `P`. So if we -//! only had row 2, we'd know that `p` is useful. However row 1 starts with a -//! wildcard, so we need to check whether `U([[true, _]], [false, 1])`. +//! For example, if `P` is: +//! [ +//! [_, true, _], +//! [None, false, 1], +//! ] +//! and `p` is [_, false, _], the `Some` constructor doesn't appear in `P`. So if we +//! only had row 2, we'd know that `p` is useful. However row 1 starts with a +//! wildcard, so we need to check whether `U([[true, _]], [false, 1])`. //! -//! + Otherwise, all possible constructors (for the relevant type) are present. In this -//! case we must check whether the wildcard pattern covers any unmatched value. For -//! that, we can think of the `_` pattern as a big OR-pattern that covers all -//! possible constructors. For `Option`, that would mean `_ = None | Some(_)` for -//! example. The wildcard pattern is useful in this case if it is useful when -//! specialized to one of the possible constructors. So we compute: -//! `U(P, p) := ∃(k ϵ constructors) U(S(k, P), S(k, p))` +//! + Otherwise, all possible constructors (for the relevant type) are present. In this +//! case we must check whether the wildcard pattern covers any unmatched value. For +//! that, we can think of the `_` pattern as a big OR-pattern that covers all +//! possible constructors. For `Option`, that would mean `_ = None | Some(_)` for +//! example. The wildcard pattern is useful in this case if it is useful when +//! specialized to one of the possible constructors. So we compute: +//! `U(P, p) := ∃(k ϵ constructors) U(S(k, P), S(k, p))` //! -//! For example, if `P` is: -//! [ -//! [Some(true), _], -//! [None, false], -//! ] -//! and `p` is [_, false], both `None` and `Some` constructors appear in the first -//! components of `P`. We will therefore try popping both constructors in turn: we -//! compute U([[true, _]], [_, false]) for the `Some` constructor, and U([[false]], -//! [false]) for the `None` constructor. The first case returns true, so we know that -//! `p` is useful for `P`. Indeed, it matches `[Some(false), _]` that wasn't matched -//! before. +//! For example, if `P` is: +//! [ +//! [Some(true), _], +//! [None, false], +//! ] +//! and `p` is [_, false], both `None` and `Some` constructors appear in the first +//! components of `P`. We will therefore try popping both constructors in turn: we +//! compute `U([[true, _]], [_, false])` for the `Some` constructor, and `U([[false]], +//! [false])` for the `None` constructor. The first case returns true, so we know that +//! `p` is useful for `P`. Indeed, it matches `[Some(false), _]` that wasn't matched +//! before. //! -//! - If `p_1 == r_1 | r_2`, then the usefulness depends on each `r_i` separately: -//! `U(P, p) := U(P, (r_1, p_2, .., p_n)) -//! || U(P, (r_2, p_2, .., p_n))` +//! - If `p_1 == r_1 | r_2`, then the usefulness depends on each `r_i` separately: +//! `U(P, p) := U(P, (r_1, p_2, .., p_n)) +//! || U(P, (r_2, p_2, .., p_n))` //! //! Modifications to the algorithm //! ------------------------------