1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770
//! Utilities for parsing expressions using
//! [Pratt parsing](https://en.wikipedia.org/wiki/Operator-precedence_parser#Pratt_parsing).
//!
//! *“Who am I? What is my purpose in life? Does it really, cosmically speaking, matter if I don’t get up and go to work?”*
//!
//! Pratt parsing is a powerful technique for defining and parsing operators of varying arity, precedence, and
//! associativity. Unlike [precedence climbing](https://en.wikipedia.org/wiki/Operator-precedence_parser), which
//! defines operator precedence by structurally composing parsers of decreasing precedence, Pratt parsing defines
//! precedence through a numerical
//! ['binding power'](https://matklad.github.io/2020/04/13/simple-but-powerful-pratt-parsing.html#From-Precedence-to-Binding-Power)
//! that determines how strongly operators should bind to the operands around them.
//!
//! Pratt parsers are defined with the [`Parser::pratt`] method.
//!
//! When writing pratt parsers, it is necessary to first define an 'atomic' operand used by the parser for building up
//! expressions. In most languages, atoms are simple, self-delimiting patterns such as numeric and string literals,
//! identifiers, or parenthesised expressions. Once an atom has been defined, operators can also be defined that
//! operate upon said atoms.
//!
//! # Fold functions
//!
//! Because operators bind atoms together, pratt parsers require you to specify, for each operator, a function that
//! combines its operands together into a syntax tree. These functions are given as the last arguments of [`infix`],
//! [`prefix`], and [`postfix`].
//!
//! Fold functions have several overloads, allowing you to make use of only the operands, the operands and the
//! operators, and even additionally a [`Span`] that covers the entire operation. See the documentation for each
//! function to see which fold signatures can be used.
//!
//! # Examples
//!
//! ```
//! use chumsky::prelude::*;
//! use chumsky::pratt::*;
//! use chumsky::extra;
//!
//! enum Expr {
//! Add(Box<Self>, Box<Self>),
//! Sub(Box<Self>, Box<Self>),
//! Pow(Box<Self>, Box<Self>),
//! Neg(Box<Self>),
//! Factorial(Box<Self>),
//! Deref(Box<Self>),
//! Literal(i32),
//! }
//!
//! impl std::fmt::Display for Expr {
//! fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
//! match self {
//! Self::Literal(literal) => write!(f, "{literal}"),
//! Self::Factorial(left) => write!(f, "({left}!)"),
//! Self::Deref(left) => write!(f, "(*{left})"),
//! Self::Neg(right) => write!(f, "(-{right})"),
//! Self::Add(left, right) => write!(f, "({left} + {right})"),
//! Self::Sub(left, right) => write!(f, "({left} - {right})"),
//! Self::Pow(left, right) => write!(f, "({left} ^ {right})"),
//! }
//! }
//! }
//!
//! let atom = text::int::<_, _, extra::Err<Simple<char>>>(10)
//! .from_str()
//! .unwrapped()
//! .map(Expr::Literal)
//! .padded();
//!
//! let op = |c| just(c).padded();
//!
//! let expr = atom.pratt((
//! // We want factorial to happen before any negation, so we need its precedence to be higher than `Expr::Neg`.
//! postfix(4, op('!'), |lhs| Expr::Factorial(Box::new(lhs))),
//! // Just like in math, we want that if we write -x^2, our parser parses that as -(x^2), so we need it to have
//! // exponents bind tighter than our prefix operators.
//! infix(right(3), op('^'), |l, r| Expr::Pow(Box::new(l), Box::new(r))),
//! // Notice the conflict with our `Expr::Sub`. This will still parse correctly. We want negation to happen before
//! // `+` and `-`, so we set its precedence higher.
//! prefix(2, op('-'), |rhs| Expr::Neg(Box::new(rhs))),
//! prefix(2, op('*'), |rhs| Expr::Deref(Box::new(rhs))),
//! // Our `-` and `+` bind the weakest, meaning that even if they occur first in an expression, they will be the
//! // last executed.
//! infix(left(1), op('+'), |l, r| Expr::Add(Box::new(l), Box::new(r))),
//! infix(left(1), op('-'), |l, r| Expr::Sub(Box::new(l), Box::new(r))),
//! ))
//! .map(|x| x.to_string());
//!
//! assert_eq!(
//! expr.parse("*1 + -2! - -3^2").into_result(),
//! Ok("(((*1) + (-(2!))) - (-(3 ^ 2)))".to_string()),
//! );
//! ```
use super::*;
trait Operator<'a, I, O, E>
where
I: Input<'a>,
E: ParserExtra<'a, I>,
{
type Op;
type OpParser: Parser<'a, I, Self::Op, E>;
const IS_INFIX: bool = false;
const IS_PREFIX: bool = false;
const IS_POSTFIX: bool = false;
fn op_parser(&self) -> &Self::OpParser;
fn associativity(&self) -> Associativity;
fn fold_infix(&self, _lhs: O, _op: Self::Op, _rhs: O, _span: I::Span) -> O {
unreachable!()
}
fn fold_prefix(&self, _op: Self::Op, _rhs: O, _span: I::Span) -> O {
unreachable!()
}
fn fold_postfix(&self, _lhs: O, _op: Self::Op, _span: I::Span) -> O {
unreachable!()
}
}
/// Defines the [associativity](https://en.wikipedia.org/wiki/Associative_property) and binding power of an [`infix`]
/// operator (see [`left`] and [`right`]).
///
/// Higher binding powers should be used for higher precedence operators.
#[derive(Copy, Clone, Debug, PartialEq, Eq, PartialOrd, Ord)]
pub enum Associativity {
/// Specifies that the operator should be left-associative, with the given binding power (see [`left`]).
Left(u16),
/// Specifies that the operator should be right-associative, with the given binding power (see [`right`]).
Right(u16),
}
/// Specifies a left [`Associativity`] with the given binding power.
///
/// Left-associative operators are evaluated from the left-most terms, moving rightward. For example, the expression
/// `a + b + c + d` will be evaluated as `((a + b) + c) + d` because addition is conventionally left-associative.
pub fn left(binding_power: u16) -> Associativity {
Associativity::Left(binding_power)
}
/// Specifies a right [`Associativity`] with the given binding power.
///
/// Right-associative operators are evaluated from the right-most terms, moving leftward. For example, the expression
/// `a ^ b ^ c ^ d` will be evaluated as `a ^ (b ^ (c ^ d))` because exponents are conventionally right-associative.
pub fn right(binding_power: u16) -> Associativity {
Associativity::Right(binding_power)
}
impl Associativity {
fn left_power(&self) -> u32 {
match self {
Self::Left(x) => *x as u32 * 2,
Self::Right(x) => *x as u32 * 2 + 1,
}
}
fn right_power(&self) -> u32 {
match self {
Self::Left(x) => *x as u32 * 2 + 1,
Self::Right(x) => *x as u32 * 2,
}
}
}
/// See [`infix`].
pub struct Infix<A, F, Op, Args> {
op_parser: A,
fold: F,
associativity: Associativity,
#[allow(dead_code)]
phantom: EmptyPhantom<(Op, Args)>,
}
impl<A: Copy, F: Copy, Op, Args> Copy for Infix<A, F, Op, Args> {}
impl<A: Clone, F: Clone, Op, Args> Clone for Infix<A, F, Op, Args> {
fn clone(&self) -> Self {
Self {
op_parser: self.op_parser.clone(),
fold: self.fold.clone(),
associativity: self.associativity,
phantom: EmptyPhantom::new(),
}
}
}
/// Specify a binary infix operator for a pratt parser with the given associativity, binding power, and
/// [fold function](crate::pratt#fold-functions).
///
/// Operators like addition, subtraction, multiplication, division, remainder, exponentiation, etc. are infix binary
/// operators in most languages.
///
/// See [`left`] and [`right`] for information about associativity.
///
/// The fold function (the last argument) must have one of the following signatures:
///
/// ```ignore
/// // Combine the left and right operands
/// impl Fn(O, O) -> O
/// // Combine the left operand, the operator itself, and the right operand
/// impl Fn(O, Op, O) -> O
/// // Combine the left operand, the operator itself, the right operand, and the span that covers the whole operation
/// impl Fn(O, Op, O, I::Span) -> O
/// ```
pub const fn infix<A, F, Op, Args>(
associativity: Associativity,
op_parser: A,
fold: F,
) -> Infix<A, F, Op, Args> {
Infix {
op_parser,
fold,
associativity,
phantom: EmptyPhantom::new(),
}
}
macro_rules! infix_op {
(|$f:ident : Fn($($Arg:ty),*) -> O, $lhs:ident, $op:ident, $rhs:ident, $span:ident| $invoke:expr) => {
impl<'a, I, O, E, A, F, Op> Operator<'a, I, O, E> for Infix<A, F, Op, ($($Arg,)*)>
where
I: Input<'a>,
E: ParserExtra<'a, I>,
A: Parser<'a, I, Op, E>,
F: Fn($($Arg),*) -> O,
{
type Op = Op;
type OpParser = A;
const IS_INFIX: bool = true;
#[inline(always)] fn op_parser(&self) -> &Self::OpParser { &self.op_parser }
#[inline(always)] fn associativity(&self) -> Associativity { self.associativity }
#[inline(always)] fn fold_infix(&self, $lhs: O, $op: Self::Op, $rhs: O, $span: I::Span) -> O { let $f = &self.fold; $invoke }
}
};
}
// Allow `|lhs, rhs| <expr>` to be used as a fold closure for infix operators
infix_op!(|f: Fn(O, O) -> O, lhs, _op, rhs, _span| f(lhs, rhs));
// Allow `|lhs, op, rhs| <expr>` to be used as a fold closure for infix operators
infix_op!(|f: Fn(O, Op, O) -> O, lhs, op, rhs, _span| f(lhs, op, rhs));
// Allow `|lhs, op, rhs, span| <expr>` to be used as a fold closure for infix operators
infix_op!(|f: Fn(O, Op, O, I::Span) -> O, lhs, op, rhs, span| f(lhs, op, rhs, span));
/// See [`prefix`].
pub struct Prefix<A, F, Op, Args> {
op_parser: A,
fold: F,
binding_power: u16,
#[allow(dead_code)]
phantom: EmptyPhantom<(Op, Args)>,
}
impl<A: Copy, F: Copy, Op, Args> Copy for Prefix<A, F, Op, Args> {}
impl<A: Clone, F: Clone, Op, Args> Clone for Prefix<A, F, Op, Args> {
fn clone(&self) -> Self {
Self {
op_parser: self.op_parser.clone(),
fold: self.fold.clone(),
binding_power: self.binding_power,
phantom: EmptyPhantom::new(),
}
}
}
/// Specify a unary prefix operator for a pratt parser with the given binding power and
/// [fold function](crate::pratt#fold-functions).
///
/// Operators like negation, not, dereferencing, etc. are prefix unary operators in most languages.
///
/// The fold function (the last argument) must have one of the following signatures:
///
/// ```ignore
/// // Transform the operand
/// impl Fn(O) -> O
/// // Combine the operator itself and the operand
/// impl Fn(Op, O) -> O
/// // Combine the operator itself, the operand, and the span that covers the whole operation
/// impl Fn(Op, O, I::Span) -> O
/// ```
pub const fn prefix<A, F, Op, Args>(
binding_power: u16,
op_parser: A,
fold: F,
) -> Prefix<A, F, Op, Args> {
Prefix {
op_parser,
fold,
binding_power,
phantom: EmptyPhantom::new(),
}
}
macro_rules! prefix_op {
(|$f:ident : Fn($($Arg:ty),*) -> O, $op:ident, $rhs:ident, $span:ident| $invoke:expr) => {
impl<'a, I, O, E, A, F, Op> Operator<'a, I, O, E> for Prefix<A, F, Op, ($($Arg,)*)>
where
I: Input<'a>,
E: ParserExtra<'a, I>,
A: Parser<'a, I, Op, E>,
F: Fn($($Arg),*) -> O,
{
type Op = Op;
type OpParser = A;
const IS_PREFIX: bool = true;
#[inline(always)] fn op_parser(&self) -> &Self::OpParser { &self.op_parser }
#[inline(always)] fn associativity(&self) -> Associativity { Associativity::Left(self.binding_power) }
#[inline(always)] fn fold_prefix(&self, $op: Self::Op, $rhs: O, $span: I::Span) -> O { let $f = &self.fold; $invoke }
}
};
}
// Allow `|rhs| <expr>` to be used as a fold closure for prefix operators
prefix_op!(|f: Fn(O) -> O, _op, rhs, _span| f(rhs));
// Allow `|op, rhs| <expr>` to be used as a fold closure for prefix operators
prefix_op!(|f: Fn(Op, O) -> O, op, rhs, _span| f(op, rhs));
// Allow `|op, rhs, span| <expr>` to be used as a fold closure for prefix operators
prefix_op!(|f: Fn(Op, O, I::Span) -> O, op, rhs, span| f(op, rhs, span));
/// See [`postfix`].
pub struct Postfix<A, F, Op, Args> {
op_parser: A,
fold: F,
binding_power: u16,
#[allow(dead_code)]
phantom: EmptyPhantom<(Op, Args)>,
}
impl<A: Copy, F: Copy, Op, Args> Copy for Postfix<A, F, Op, Args> {}
impl<A: Clone, F: Clone, Op, Args> Clone for Postfix<A, F, Op, Args> {
fn clone(&self) -> Self {
Self {
op_parser: self.op_parser.clone(),
fold: self.fold.clone(),
binding_power: self.binding_power,
phantom: EmptyPhantom::new(),
}
}
}
/// Specify a unary postfix operator for a pratt parser with the given binding power and
/// [fold function](crate::pratt#fold-functions).
///
/// Operators like factorial, field access, function composition, etc. are postfix unary operators in most languages.
///
/// The fold function (the last argument) must have one of the following signatures:
///
/// ```ignore
/// // Transform the operand
/// impl Fn(O) -> O
/// // Combine the operand and the operator itself
/// impl Fn(O, Op) -> O
/// // Combine the operand, the operator itself, and the span that covers the whole operation
/// impl Fn(Op, O, I::Span) -> O
/// ```
pub const fn postfix<A, F, Op, Args>(
binding_power: u16,
op_parser: A,
fold: F,
) -> Postfix<A, F, Op, Args> {
Postfix {
op_parser,
fold,
binding_power,
phantom: EmptyPhantom::new(),
}
}
macro_rules! postfix_op {
(|$f:ident : Fn($($Arg:ty),*) -> O, $lhs:ident, $op:ident, $span:ident| $invoke:expr) => {
impl<'a, I, O, E, A, F, Op> Operator<'a, I, O, E> for Postfix<A, F, Op, ($($Arg,)*)>
where
I: Input<'a>,
E: ParserExtra<'a, I>,
A: Parser<'a, I, Op, E>,
F: Fn($($Arg),*) -> O,
{
type Op = Op;
type OpParser = A;
const IS_POSTFIX: bool = true;
#[inline(always)] fn op_parser(&self) -> &Self::OpParser { &self.op_parser }
#[inline(always)] fn associativity(&self) -> Associativity { Associativity::Left(self.binding_power) }
#[inline(always)] fn fold_postfix(&self, $lhs: O, $op: Self::Op, $span: I::Span) -> O { let $f = &self.fold; $invoke }
}
};
}
// Allow `|lhs| <expr>` to be used as a fold closure for postfix operators
postfix_op!(|f: Fn(O) -> O, lhs, _op, _span| f(lhs));
// Allow `|lhs, op| <expr>` to be used as a fold closure for postfix operators
postfix_op!(|f: Fn(O, Op) -> O, lhs, op, _span| f(lhs, op));
// Allow `|lhs, op, span| <expr>` to be used as a fold closure for postfix operators
postfix_op!(|f: Fn(O, Op, I::Span) -> O, lhs, op, span| f(lhs, op, span));
/// See [`Parser::pratt`].
#[derive(Copy, Clone)]
pub struct Pratt<Atom, Ops> {
pub(crate) atom: Atom,
pub(crate) ops: Ops,
}
macro_rules! impl_pratt_for_tuple {
() => {};
($head:ident $($X:ident)*) => {
impl_pratt_for_tuple!($($X)*);
impl_pratt_for_tuple!(~ $head $($X)*);
};
(~ $($X:ident)+) => {
#[allow(unused_variables, non_snake_case)]
impl<'a, Atom, $($X),*> Pratt<Atom, ($($X,)*)> {
#[inline]
fn pratt_go<M: Mode, I, O, E>(&self, inp: &mut InputRef<'a, '_, I, E>, min_power: u32) -> PResult<M, O>
where
I: Input<'a>,
E: ParserExtra<'a, I>,
Atom: Parser<'a, I, O, E>,
$($X: Operator<'a, I, O, E>),*
{
let pre_expr = inp.save();
let mut lhs = 'choice: {
let ($($X,)*) = &self.ops;
// Prefix unary operators
$(
if $X::IS_PREFIX {
match $X.op_parser().go::<M>(inp) {
Ok(op) => {
match recursive::recurse(|| self.pratt_go::<M, _, _, _>(inp, $X.associativity().left_power())) {
Ok(rhs) => break 'choice M::combine(op, rhs, |op, rhs| {
let span = inp.span_since(pre_expr.offset());
$X.fold_prefix(op, rhs, span)
}),
Err(()) => inp.rewind(pre_expr),
}
},
Err(()) => inp.rewind(pre_expr),
}
}
)*
self.atom.go::<M>(inp)?
};
loop {
let ($($X,)*) = &self.ops;
let pre_op = inp.save();
// Postfix unary operators
$(
let assoc = $X.associativity();
if $X::IS_POSTFIX && assoc.right_power() >= min_power {
match $X.op_parser().go::<M>(inp) {
Ok(op) => {
lhs = M::combine(lhs, op, |lhs, op| {
let span = inp.span_since(pre_expr.offset());
$X.fold_postfix(lhs, op, span)
});
continue
},
Err(()) => inp.rewind(pre_op),
}
}
)*
// Infix binary operators
$(
let assoc = $X.associativity();
if $X::IS_INFIX && assoc.left_power() >= min_power {
match $X.op_parser().go::<M>(inp) {
Ok(op) => match recursive::recurse(|| self.pratt_go::<M, _, _, _>(inp, assoc.right_power())) {
Ok(rhs) => {
lhs = M::combine(
M::combine(lhs, rhs, |lhs, rhs| (lhs, rhs)),
op,
|(lhs, rhs), op| {
let span = inp.span_since(pre_expr.offset());
$X.fold_infix(lhs, op, rhs, span)
},
);
continue
},
Err(()) => inp.rewind(pre_op),
},
Err(()) => inp.rewind(pre_op),
}
}
)*
inp.rewind(pre_op);
break;
}
Ok(lhs)
}
}
#[allow(unused_variables, non_snake_case)]
impl<'a, I, O, E, Atom, $($X),*> ParserSealed<'a, I, O, E> for Pratt<Atom, ($($X,)*)>
where
I: Input<'a>,
E: ParserExtra<'a, I>,
Atom: Parser<'a, I, O, E>,
$($X: Operator<'a, I, O, E>),*
{
fn go<M: Mode>(&self, inp: &mut InputRef<'a, '_, I, E>) -> PResult<M, O> {
self.pratt_go::<M, _, _, _>(inp, 0)
}
go_extra!(O);
}
};
}
impl_pratt_for_tuple!(A_ B_ C_ D_ E_ F_ G_ H_ I_ J_ K_ L_ M_ N_ O_ P_ Q_ R_ S_ T_ U_ V_ W_ X_ Y_ Z_);
#[cfg(test)]
mod tests {
use super::*;
use crate::{extra::Err, prelude::*};
fn factorial(x: i64) -> i64 {
if x == 0 {
1
} else {
x * factorial(x - 1)
}
}
fn parser<'a>() -> impl Parser<'a, &'a str, i64> {
let atom = text::int(10).padded().from_str::<i64>().unwrapped();
atom.pratt((
prefix(2, just('-'), |x: i64| -x),
postfix(2, just('!'), factorial),
infix(left(0), just('+'), |l, r| l + r),
infix(left(0), just('-'), |l, r| l - r),
infix(left(1), just('*'), |l, r| l * r),
infix(left(1), just('/'), |l, _, r| l / r),
))
}
#[test]
fn precedence() {
assert_eq!(parser().parse("2 + 3 * 4").into_result(), Ok(14));
assert_eq!(parser().parse("2 * 3 + 4").into_result(), Ok(10));
}
#[test]
fn unary() {
assert_eq!(parser().parse("-2").into_result(), Ok(-2));
assert_eq!(parser().parse("4!").into_result(), Ok(24));
assert_eq!(parser().parse("2 + 4!").into_result(), Ok(26));
assert_eq!(parser().parse("-2 + 2").into_result(), Ok(0));
}
// TODO: Make this work
// fn parser_dynamic<'a>() -> impl Parser<'a, &'a str, i64> {
// let atom = text::int(10).padded().from_str::<i64>().unwrapped();
// atom.pratt(vec![
// prefix(2, just('-'), |x: i64| -x).into(),
// postfix(2, just('!'), factorial).into(),
// infix(left(0), just('+'), |l, r| l + r).into(),
// infix(left(0), just('-'), |l, r| l - r).into(),
// infix(left(1), just('*'), |l, r| l * r).into(),
// infix(left(1), just('/'), |l, _, r| l / r).into(),
// ])
// }
enum Expr {
Literal(i64),
Not(Box<Expr>),
Negate(Box<Expr>),
Confusion(Box<Expr>),
Factorial(Box<Expr>),
Value(Box<Expr>),
Add(Box<Expr>, Box<Expr>),
Sub(Box<Expr>, Box<Expr>),
Mul(Box<Expr>, Box<Expr>),
Div(Box<Expr>, Box<Expr>),
}
impl std::fmt::Display for Expr {
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
match self {
Self::Literal(literal) => write!(f, "{literal}"),
Self::Not(right) => write!(f, "(~{right})"),
Self::Negate(right) => write!(f, "(-{right})"),
Self::Confusion(right) => write!(f, "(§{right})"),
Self::Factorial(right) => write!(f, "({right}!)"),
Self::Value(right) => write!(f, "({right}$)"),
Self::Add(left, right) => write!(f, "({left} + {right})"),
Self::Sub(left, right) => write!(f, "({left} - {right})"),
Self::Mul(left, right) => write!(f, "({left} * {right})"),
Self::Div(left, right) => write!(f, "({left} / {right})"),
}
}
}
fn u(e: fn(Box<Expr>) -> Expr, r: Expr) -> Expr {
e(Box::new(r))
}
fn i(e: fn(Box<Expr>, Box<Expr>) -> Expr, l: Expr, r: Expr) -> Expr {
e(Box::new(l), Box::new(r))
}
fn expr_parser<'a>() -> impl Parser<'a, &'a str, String, Err<Simple<'a, char>>> {
let atom = text::int(10).from_str().unwrapped().map(Expr::Literal);
atom.pratt((
infix(left(0), just('+'), |l, r| i(Expr::Add, l, r)),
infix(left(0), just('-'), |l, r| i(Expr::Sub, l, r)),
infix(right(1), just('*'), |l, r| i(Expr::Mul, l, r)),
infix(right(1), just('/'), |l, r| i(Expr::Div, l, r)),
))
.map(|x| x.to_string())
}
fn complete_parser<'a>() -> impl Parser<'a, &'a str, String, Err<Simple<'a, char>>> {
expr_parser().then_ignore(end())
}
fn parse(input: &str) -> ParseResult<String, Simple<char>> {
complete_parser().parse(input)
}
fn parse_partial(input: &str) -> ParseResult<String, Simple<char>> {
expr_parser().lazy().parse(input)
}
fn unexpected<'a, C: Into<Option<MaybeRef<'a, char>>>, S: Into<SimpleSpan>>(
c: C,
span: S,
) -> Simple<'a, char> {
<Simple<_> as Error<'_, &'_ str>>::expected_found(None, c.into(), span.into())
}
#[test]
fn missing_first_expression() {
assert_eq!(parse("").into_result(), Err(vec![unexpected(None, 0..0)]))
}
#[test]
fn missing_later_expression() {
assert_eq!(parse("1+").into_result(), Err(vec![unexpected(None, 2..2)]),);
}
#[test]
fn invalid_first_expression() {
assert_eq!(
parse("?").into_result(),
Err(vec![unexpected(Some('?'.into()), 0..1)]),
);
}
#[test]
fn invalid_later_expression() {
assert_eq!(
parse("1+?").into_result(),
Err(vec![dbg!(unexpected(Some('?'.into()), 2..3))]),
);
}
#[test]
fn invalid_operator() {
assert_eq!(
parse("1?").into_result(),
Err(vec![unexpected(Some('?'.into()), 1..2)]),
);
}
#[test]
fn invalid_operator_incomplete() {
assert_eq!(parse_partial("1?").into_result(), Ok("1".to_string()),);
}
#[test]
fn complex_nesting() {
assert_eq!(
parse_partial("1+2*3/4*5-6*7+8-9+10").into_result(),
Ok("(((((1 + (2 * (3 / (4 * 5)))) - (6 * 7)) + 8) - 9) + 10)".to_string()),
);
}
#[test]
fn with_prefix_ops() {
let atom = text::int::<_, _, Err<Simple<char>>>(10)
.from_str()
.unwrapped()
.map(Expr::Literal);
let parser = atom
.pratt((
// -- Prefix
// Because we defined '*' and '/' as right associative operators,
// in order to get these to function as expected, their strength
// must be higher
prefix(2, just('-'), |r| u(Expr::Negate, r)),
prefix(2, just('~'), |r| u(Expr::Not, r)),
// This is what happens when not
prefix(1, just('§'), |r| u(Expr::Confusion, r)),
// -- Infix
infix(left(0), just('+'), |l, r| i(Expr::Add, l, r)),
infix(left(0), just('-'), |l, r| i(Expr::Sub, l, r)),
infix(right(1), just('*'), |l, r| i(Expr::Mul, l, r)),
infix(right(1), just('/'), |l, r| i(Expr::Div, l, r)),
))
.map(|x| x.to_string());
assert_eq!(
parser.parse("-1+§~2*3").into_result(),
Ok("((-1) + (§((~2) * 3)))".to_string()),
)
}
#[test]
fn with_postfix_ops() {
let atom = text::int::<_, _, Err<Simple<char>>>(10)
.from_str()
.unwrapped()
.map(Expr::Literal);
let parser = atom
.pratt((
// -- Postfix
// Because we defined '*' and '/' as right associative operators,
// in order to get these to function as expected, their strength
// must be higher
postfix(2, just('!'), |l| u(Expr::Factorial, l)),
// This is what happens when not
postfix(0, just('$'), |l| u(Expr::Value, l)),
// -- Infix
infix(left(1), just('+'), |l, r| i(Expr::Add, l, r)),
infix(left(1), just('-'), |l, r| i(Expr::Sub, l, r)),
infix(right(2), just('*'), |l, r| i(Expr::Mul, l, r)),
infix(right(2), just('/'), |l, r| i(Expr::Div, l, r)),
))
.map(|x| x.to_string());
assert_eq!(
parser.parse("1+2!$*3").into_result(),
Ok("(((1 + (2!))$) * 3)".to_string()),
)
}
#[test]
fn with_pre_and_postfix_ops() {
let atom = text::int::<_, _, Err<Simple<char>>>(10)
.from_str()
.unwrapped()
.map(Expr::Literal);
let parser = atom
.pratt((
// -- Prefix
prefix(4, just('-'), |r| u(Expr::Negate, r)),
prefix(4, just('~'), |r| u(Expr::Not, r)),
prefix(1, just('§'), |r| u(Expr::Confusion, r)),
// -- Postfix
postfix(5, just('!'), |l| u(Expr::Factorial, l)),
postfix(0, just('$'), |l| u(Expr::Value, l)),
// -- Infix
infix(left(1), just('+'), |l, r| i(Expr::Add, l, r)),
infix(left(1), just('-'), |l, r| i(Expr::Sub, l, r)),
infix(right(2), just('*'), |l, r| i(Expr::Mul, l, r)),
infix(right(2), just('/'), |l, r| i(Expr::Div, l, r)),
))
.map(|x| x.to_string());
assert_eq!(
parser.parse("§1+-~2!$*3").into_result(),
Ok("(((§(1 + (-(~(2!)))))$) * 3)".to_string()),
)
}
}