red-knot: infer multiplication for strings and integers (#13117)

## Summary

The resulting type when multiplying a string literal by an integer
literal is one of two types:

- `StringLiteral`, in the case where it is a reasonably small resulting
string (arbitrarily bounded here to 4096 bytes, roughly a page on many
operating systems), including the fully expanded string.
- `LiteralString`, matching Pyright etc., for strings larger than that.

Additionally:

- Switch to using `Box<str>` instead of `String` for the internal value
of `StringLiteral`, saving some non-trivial byte overhead (and keeping
the total number of allocations the same).
- Be clearer and more accurate about which types we ought to defer to in
`StringLiteral` and `LiteralString` member lookup.

## Test Plan

Added a test case covering multiplication times integers: positive,
negative, zero, and in and out of bounds.

---------

Co-authored-by: Alex Waygood <alex.waygood@gmail.com>
Co-authored-by: Carl Meyer <carl@astral.sh>

crates/red_knot_python_semantic/src/types.rs

@@ -183,6 +183,9 @@ pub enum Type<'db> {
     BooleanLiteral(bool),
     /// A string literal
     StringLiteral(StringLiteralType<'db>),
+    /// A string known to originate only from literal values, but whose value is not known (unlike
+    /// `StringLiteral` above).
+    LiteralString,
     /// A bytes literal
     BytesLiteral(BytesLiteralType<'db>),
     // TODO protocols, callable types, overloads, generics, type vars
@@ -281,7 +284,13 @@ impl<'db> Type<'db> {
             }
             Type::BooleanLiteral(_) => Type::Unknown,
             Type::StringLiteral(_) => {
-                // TODO defer to Type::Instance(<str from typeshed>).member
+                // TODO defer to `typing.LiteralString`/`builtins.str` methods
+                // from typeshed's stubs
+                Type::Unknown
+            }
+            Type::LiteralString => {
+                // TODO defer to `typing.LiteralString`/`builtins.str` methods
+                // from typeshed's stubs
                 Type::Unknown
             }
             Type::BytesLiteral(_) => {
@@ -387,7 +396,7 @@ pub struct IntersectionType<'db> {
 #[salsa::interned]
 pub struct StringLiteralType<'db> {
     #[return_ref]
-    value: String,
+    value: Box<str>,
 }
 
 #[salsa::interned]

crates/red_knot_python_semantic/src/types/display.rs

@@ -46,6 +46,7 @@ impl Display for DisplayType<'_> {
                 r#"Literal["{}"]"#,
                 string.value(self.db).replace('"', r#"\""#)
             ),
+            Type::LiteralString => write!(f, "LiteralString"),
             Type::BytesLiteral(bytes) => {
                 let escape =
                     AsciiEscape::with_preferred_quote(bytes.value(self.db).as_ref(), Quote::Double);

crates/red_knot_python_semantic/src/types/infer.rs

@@ -217,6 +217,12 @@ struct TypeInferenceBuilder<'db> {
 }
 
 impl<'db> TypeInferenceBuilder<'db> {
+    /// How big a string do we build before bailing?
+    ///
+    /// This is a fairly arbitrary number. It should be *far* more than enough
+    /// for most use cases, but we can reevaluate it later if useful.
+    const MAX_STRING_LITERAL_SIZE: usize = 4096;
+
     /// Creates a new builder for inferring types in a region.
     pub(super) fn new(
         db: &'db dyn Db,
@@ -1259,12 +1265,16 @@ impl<'db> TypeInferenceBuilder<'db> {
         Type::BooleanLiteral(*value)
     }
 
-    #[allow(clippy::unused_self)]
     fn infer_string_literal_expression(&mut self, literal: &ast::ExprStringLiteral) -> Type<'db> {
-        Type::StringLiteral(StringLiteralType::new(self.db, literal.value.to_string()))
+        let value = if literal.value.len() <= Self::MAX_STRING_LITERAL_SIZE {
+            literal.value.to_str().into()
+        } else {
+            Box::default()
+        };
+
+        Type::StringLiteral(StringLiteralType::new(self.db, value))
     }
 
-    #[allow(clippy::unused_self)]
     fn infer_bytes_literal_expression(&mut self, literal: &ast::ExprBytesLiteral) -> Type<'db> {
         // TODO: ignoring r/R prefixes for now, should normalize bytes values
         Type::BytesLiteral(BytesLiteralType::new(
@@ -1787,11 +1797,30 @@ impl<'db> TypeInferenceBuilder<'db> {
 
             (Type::StringLiteral(lhs), Type::StringLiteral(rhs), ast::Operator::Add) => {
                 Type::StringLiteral(StringLiteralType::new(self.db, {
-                    let lhs_value = lhs.value(self.db);
+                    let lhs_value = lhs.value(self.db).to_string();
-                    let rhs_value = rhs.value(self.db);
+                    let rhs_value = rhs.value(self.db).as_ref();
-                    lhs_value.clone() + rhs_value
+                    (lhs_value + rhs_value).into()
                 }))
             }
+
+            (Type::StringLiteral(s), Type::IntLiteral(n), ast::Operator::Mult)
+            | (Type::IntLiteral(n), Type::StringLiteral(s), ast::Operator::Mult) => {
+                if n < 1 {
+                    Type::StringLiteral(StringLiteralType::new(self.db, Box::default()))
+                } else if let Ok(n) = usize::try_from(n) {
+                    if n.checked_mul(s.value(self.db).len())
+                        .is_some_and(|new_length| new_length <= Self::MAX_STRING_LITERAL_SIZE)
+                    {
+                        let new_literal = s.value(self.db).repeat(n);
+                        Type::StringLiteral(StringLiteralType::new(self.db, new_literal.into()))
+                    } else {
+                        Type::LiteralString
+                    }
+                } else {
+                    Type::LiteralString
+                }
+            }
+
             _ => Type::Unknown, // TODO
         }
     }
@@ -1951,6 +1980,7 @@ enum ModuleNameResolutionError {
 
 #[cfg(test)]
 mod tests {
+
     use anyhow::Context;
 
     use ruff_db::files::{system_path_to_file, File};
@@ -1969,6 +1999,8 @@ mod tests {
     use crate::types::{global_symbol_ty_by_name, infer_definition_types, symbol_ty_by_name, Type};
     use crate::{HasTy, ProgramSettings, SemanticModel};
 
+    use super::TypeInferenceBuilder;
+
     fn setup_db() -> TestDb {
         let db = TestDb::new();
 
@@ -2378,6 +2410,44 @@ mod tests {
         Ok(())
     }
 
+    #[test]
+    fn multiplied_string() -> anyhow::Result<()> {
+        let mut db = setup_db();
+
+        db.write_dedented(
+            "src/a.py",
+            &format!(
+                r#"
+            w = 2 * "hello"
+            x = "goodbye" * 3
+            y = "a" * {y}
+            z = {z} * "b"
+            a = 0 * "hello"
+            b = -3 * "hello"
+            "#,
+                y = TypeInferenceBuilder::MAX_STRING_LITERAL_SIZE,
+                z = TypeInferenceBuilder::MAX_STRING_LITERAL_SIZE + 1
+            ),
+        )?;
+
+        assert_public_ty(&db, "src/a.py", "w", r#"Literal["hellohello"]"#);
+        assert_public_ty(&db, "src/a.py", "x", r#"Literal["goodbyegoodbyegoodbye"]"#);
+        assert_public_ty(
+            &db,
+            "src/a.py",
+            "y",
+            &format!(
+                r#"Literal["{}"]"#,
+                "a".repeat(TypeInferenceBuilder::MAX_STRING_LITERAL_SIZE)
+            ),
+        );
+        assert_public_ty(&db, "src/a.py", "z", "LiteralString");
+        assert_public_ty(&db, "src/a.py", "a", r#"Literal[""]"#);
+        assert_public_ty(&db, "src/a.py", "b", r#"Literal[""]"#);
+
+        Ok(())
+    }
+
     #[test]
     fn bytes_type() -> anyhow::Result<()> {
         let mut db = setup_db();