# Pattern-matching changes for C# 9.0

We are considering a small handful of enhancements to pattern-matching for C# 9.0 that have natural synergy and work well to address a number of common programming problems:

## Parenthesized Patterns

Parenthesized patterns permit the programmer to put parentheses around any pattern. This is not so useful with the existing patterns in C# 8.0, however the new pattern combinators introduce a precedence that the programmer may want to override.

primary_pattern
: parenthesized_pattern
| // all of the existing forms
;
parenthesized_pattern
: '(' pattern ')'
;


## Type Patterns

We permit a type as a pattern:

primary_pattern
: type-pattern
| // all of the existing forms
;
type_pattern
: type
;


This retcons the existing is-type-expression to be an is-pattern-expression in which the pattern is a type-pattern, though we would not change the syntax tree produced by the compiler.

One subtle implementation issue is that this grammar is ambiguous. A string such as a.b can be parsed either as a qualified name (in a type context) or a dotted expression (in an expression context). The compiler is already capable of treating a qualified name the same as a dotted expression in order to handle something like e is Color.Red. The compiler's semantic analysis would be further extended to be capable of binding a (syntactic) constant pattern (e.g. a dotted expression) as a type in order to treat it as a bound type pattern in order to support this construct.

After this change, you would be able to write

void M(object o1, object o2)
{
var t = (o1, o2);
if (t is (int, string)) {} // test if o1 is an int and o2 is a string
switch (o1) {
case int: break; // test if o1 is an int
case System.String: break; // test if o1 is a string
}
}


## Relational Patterns

Relational patterns permit the programmer to express that an input value must satisfy a relational constraint when compared to a constant value:

    public static LifeStage LifeStageAtAge(int age) => age switch
{
< 0 =>  LifeStage.Prenatal,
< 2 =>  LifeStage.Infant,
< 4 =>  LifeStage.Toddler,
< 6 =>  LifeStage.EarlyChild,
< 12 => LifeStage.MiddleChild,
};


Relational patterns support the relational operators <, <=, >, and >= on all of the built-in types that support such binary relational operators with two operands of the same type in an expression. Specifically, we support all of these relational patterns for sbyte, byte, short, ushort, int, uint, long, ulong, char, float, double, decimal, nint, and nuint.

primary_pattern
: relational_pattern
;
relational_pattern
: '<' relational_expression
| '<=' relational_expression
| '>' relational_expression
| '>=' relational_expression
;


The expression is required to evaluate to a constant value. It is an error if that constant value is double.NaN or float.NaN. It is an error if the expression is a null constant.

When the input is a type for which a suitable built-in binary relational operator is defined that is applicable with the input as its left operand and the given constant as its right operand, the evaluation of that operator is taken as the meaning of the relational pattern. Otherwise we convert the input to the type of the expression using an explicit nullable or unboxing conversion. It is a compile-time error if no such conversion exists. The pattern is considered not to match if the conversion fails. If the conversion succeeds then the result of the pattern-matching operation is the result of evaluating the expression e OP v where e is the converted input, OP is the relational operator, and v is the constant expression.

## Pattern Combinators

Pattern combinators permit matching both of two different patterns using and (this can be extended to any number of patterns by the repeated use of and), either of two different patterns using or (ditto), or the negation of a pattern using not.

A common use of a combinator will be the idiom

if (e is not null) ...


More readable than the current idiom e is object, this pattern clearly expresses that one is checking for a non-null value.

The and and or combinators will be useful for testing ranges of values

bool IsLetter(char c) => c is >= 'a' and <= 'z' or >= 'A' and <= 'Z';


This example illustrates that and will have a higher parsing priority (i.e. will bind more closely) than or. The programmer can use the parenthesized pattern to make the precedence explicit:

bool IsLetter(char c) => c is (>= 'a' and <= 'z') or (>= 'A' and <= 'Z');


Like all patterns, these combinators can be used in any context in which a pattern is expected, including nested patterns, the is-pattern-expression, the switch-expression, and the pattern of a switch statement's case label.

pattern
: disjunctive_pattern
;
disjunctive_pattern
: disjunctive_pattern 'or' conjunctive_pattern
| conjunctive_pattern
;
conjunctive_pattern
: conjunctive_pattern 'and' negated_pattern
| negated_pattern
;
negated_pattern
: 'not' negated_pattern
| primary_pattern
;
primary_pattern
: // all of the patterns forms previously defined
;


## Change to 7.5.4.2 Grammar Ambiguities

Due to the introduction of the type pattern, it is possible for a generic type to appear before the token =>. We therefore add => to the set of tokens listed in 7.5.4.2 Grammar Ambiguities to permit disambiguation of the < that begins the type argument list. See also https://github.com/dotnet/roslyn/issues/47614.

## Open Issues with Proposed Changes

### Syntax for relational operators

Are and, or, and not some kind of contextual keyword? If so, is there a breaking change (e.g. compared to their use as a designator in a declaration-pattern).

### Semantics (e.g. type) for relational operators

We expect to support all of the primitive types that can be compared in an expression using a relational operator. The meaning in simple cases is clear

bool IsValidPercentage(int x) => x is >= 0 and <= 100;


But when the input is not such a primitive type, what type do we attempt to convert it to?

bool IsValidPercentage(object x) => x is >= 0 and <= 100;


We have proposed that when the input type is already a comparable primitive, that is the type of the comparison. However, when the input is not a comparable primitive, we treat the relational as including an implicit type test to the type of the constant on the right-hand-side of the relational. If the programmer intends to support more than one input type, that must be done explicitly:

bool IsValidPercentage(object x) => x is
>= 0 and <= 100 or    // integer tests
>= 0F and <= 100F or  // float tests
>= 0D and <= 100D;    // double tests


### Flowing type information from the left to the right of and

It has been suggested that when you write an and combinator, type information learned on the left about the top-level type could flow to the right. For example

bool isSmallByte(object o) => o is byte and < 100;


Here, the input type to the second pattern is narrowed by the type narrowing requirements of left of the and. We would define type narrowing semantics for all patterns as follows. The narrowed type of a pattern P is defined as follows:

1. If P is a type pattern, the narrowed type is the type of the type pattern's type.
2. If P is a declaration pattern, the narrowed type is the type of the declaration pattern's type.
3. If P is a recursive pattern that gives an explicit type, the narrowed type is that type.
4. If P is matched via the rules for ITuple, the narrowed type is the type System.Runtime.CompilerServices.ITuple.
5. If P is a constant pattern where the constant is not the null constant and where the expression has no constant expression conversion to the input type, the narrowed type is the type of the constant.
6. If P is a relational pattern where the constant expression has no constant expression conversion to the input type, the narrowed type is the type of the constant.
7. If P is an or pattern, the narrowed type is the common type of the narrowed type of the subpatterns if such a common type exists. For this purpose, the common type algorithm considers only identity, boxing, and implicit reference conversions, and it considers all subpatterns of a sequence of or patterns (ignoring parenthesized patterns).
8. If P is an and pattern, the narrowed type is the narrowed type of the right pattern. Moreover, the narrowed type of the left pattern is the input type of the right pattern.
9. Otherwise the narrowed type of P is P's input type.

### Variable definitions and definite assignment

The addition of or and not patterns creates some interesting new problems around pattern variables and definite assignment. Since variables can normally be declared at most once, it would seem any pattern variable declared on one side of an or pattern would not be definitely assigned when the pattern matches. Similarly, a variable declared inside a not pattern would not be expected to be definitely assigned when the pattern matches. The simplest way to address this is to forbid declaring pattern variables in these contexts. However, this may be too restrictive. There are other approaches to consider.

One scenario that is worth considering is this

if (e is not int i) return;
M(i); // is i definitely assigned here?


This does not work today because, for an is-pattern-expression, the pattern variables are considered definitely assigned only where the is-pattern-expression is true ("definitely assigned when true").

Supporting this would be simpler (from the programmer's perspective) than also adding support for a negated-condition if statement. Even if we add such support, programmers would wonder why the above snippet does not work. On the other hand, the same scenario in a switch makes less sense, as there is no corresponding point in the program where definitely assigned when false would be meaningful. Would we permit this in an is-pattern-expression but not in other contexts where patterns are permitted? That seems irregular.

Related to this is the problem of definite assignment in a disjunctive-pattern.

if (e is 0 or int i)
{
M(i); // is i definitely assigned here?
}


We would only expect i to be definitely assigned when the input is not zero. But since we don't know whether the input is zero or not inside the block, i is not definitely assigned. However, what if we permit i to be declared in different mutually exclusive patterns?

if ((e1, e2) is (0, int i) or (int i, 0))
{
M(i);
}


Here, the variable i is definitely assigned inside the block, and takes it value from the other element of the tuple when a zero element is found.

It has also been suggested to permit variables to be (multiply) defined in every case of a case block:

    case (0, int x):
case (int x, 0):
Console.WriteLine(x);


To make any of this work, we would have to carefully define where such multiple definitions are permitted and under what conditions such a variable is considered definitely assigned.

Should we elect to defer such work until later (which I advise), we could say in C# 9

• beneath a not or or, pattern variables may not be declared.

Then, we would have time to develop some experience that would provide insight into the possible value of relaxing that later.

### Diagnostics, subsumption, and exhaustiveness

These new pattern forms introduce many new opportunities for diagnosable programmer error. We will need to decide what kinds of errors we will diagnose, and how to do so. Here are some examples:

case >= 0 and <= 100D:


This case can never match (because the input cannot be both an int and a double). We already have an error when we detect a case that can never match, but its wording ("The switch case has already been handled by a previous case" and "The pattern has already been handled by a previous arm of the switch expression") may be misleading in new scenarios. We may have to modify the wording to just say that the pattern will never match the input.

case 1 and 2:


Similarly, this would be an error because a value cannot be both 1 and 2.

case 1 or 2 or 3 or 1:


This case is possible to match, but the or 1 at the end adds no meaning to the pattern. I suggest we should aim to produce an error whenever some conjunct or disjunct of a compound pattern does not either define a pattern variable or affect the set of matched values.

case < 2: break;
case 0 or 1 or 2 or 3 or 4 or 5: break;


Here, 0 or 1 or adds nothing to the second case, as those values would have been handled by the first case. This too deserves an error.

byte b = ...;
int x = b switch { <100 => 0, 100 => 1, 101 => 2, >101 => 3 };


A switch expression such as this should be considered exhaustive (it handles all possible input values).

In C# 8.0, a switch expression with an input of type byte is only considered exhaustive if it contains a final arm whose pattern matches everything (a discard-pattern or var-pattern). Even a switch expression that has an arm for every distinct byte value is not considered exhaustive in C# 8. In order to properly handle exhaustiveness of relational patterns, we will have to handle this case too. This will technically be a breaking change, but no user is likely to notice.