rucc_ir/ty.rs
1//! The IR type system.
2//!
3//! Design: `spec/08-ir.md` section 8.2.
4//!
5//! Much smaller than C's, and deliberately so. Everything C-specific has been resolved by the
6//! time lowering runs, and re-deriving any of it here would mean two answers to the same
7//! question with nothing keeping them in step.
8//!
9//! ```text
10//! i1 i8 i16 i32 i64 i128 iN integers, by width, signless
11//! f16 f32 f64 f80 f128 floating point, by width
12//! ptr opaque, no pointee
13//! cap opaque, a capability, only under -fsafety
14//! i8x16 f32x4 fixed vectors
15//! void
16//! mem the state of memory, at -O2 and above
17//! ```
18//!
19//! Four decisions are worth restating because the rest of the crate depends on them.
20//!
21//! **Integers are signless.** There is no `u32` beside `i32`. The operation carries the
22//! signedness, so `sdiv` and `udiv` are different opcodes over the same type. That halves the
23//! type space and removes the family of bugs where the type says one thing and the operation
24//! does another.
25//!
26//! **Pointers are opaque.** A `ptr` has no pointee. The size of an access belongs to the
27//! `load` or the `store`, and the aliasing information belongs to the metadata on it, where
28//! the effective-type rules can be applied precisely rather than guessed at from a static
29//! pointee type that C does not license conclusions from anyway.
30//!
31//! **A capability is opaque for the same reason a pointer is.** `cap` is what the memory safety
32//! instrumentation moves around, per `spec/safe-memory/06-instrumentation.md` section 6.2.1, and
33//! how wide it is and what is in it belong to `spec/safe-memory/05-representation.md`. Nothing in
34//! the optimizer may depend on either. There is no load and no store of one: a capability reaches
35//! a register through `cap.of`, `cap.load`, `cap.null`, `cap.narrow` or `cap.recover` and leaves
36//! through `cap.store` or a check, and that closed set is what lets the representation change
37//! without anything downstream noticing. A module that uses none of them contains no `cap` and is
38//! byte for byte what it was before this type existed.
39//!
40//! **Aggregates are not values.** There is no struct type and no array type. Structs and
41//! arrays live in memory, a struct assignment is a `memcpy`, and a struct passed by value has
42//! been taken apart by the ABI rules before it reaches the IR.
43//!
44//! `mem` is the odd one and document 09 of `spec/optimizer` is why it exists. Memory SSA works
45//! by pretending the whole of memory is one variable, so that the machinery that already puts
46//! block parameters where two definitions meet does it for memory too. That pretence needs a
47//! type for the variable to have. Nothing computes with a `mem` and nothing stores one: it is
48//! threaded from the instruction that wrote memory to the instruction that reads it, and the
49//! back end never sees one, because memory SSA is built inside the optimizer and taken off
50//! again before anything lowers. A function that does not carry it is a function where every
51//! memory operation is unordered with respect to every other and the alias analysis is asked
52//! directly, which is what `-O0` and `-O1` do.
53
54use std::fmt;
55
56/// An IR type.
57///
58/// Four bytes, packed, because a type sits on every value in a function and a function has a
59/// great many values. The alternative, an enum holding a lane type and a lane count, comes out
60/// at twelve bytes for the same information, and the tables this goes in are walked often
61/// enough for that to show.
62///
63/// The packing is the low sixteen bits for the width in bits, the next thirteen for the lane
64/// count biased by one, and the top three for which of the six kinds it is. That gives a
65/// largest integer of [`Type::MAX_BITS`] and a widest vector of [`Type::MAX_LANES`], both of
66/// which are past anything a target has.
67///
68/// The kind field took a bit off the lane count when `mem` was added, which halved
69/// [`Type::MAX_LANES`] from sixteen thousand to eight. The widest vector register anybody ships
70/// is 2048 bits, so the widest useful vector is 2048 lanes of `i1`, and the number this leaves
71/// is four times that. Adding `cap` cost nothing further, since three bits hold eight kinds.
72///
73/// ```
74/// use rucc_ir::{Float, Type};
75///
76/// assert_eq!(Type::int(32).to_string(), "i32");
77/// assert_eq!(Type::float(Float::F64).to_string(), "f64");
78/// assert_eq!(Type::PTR.to_string(), "ptr");
79/// assert_eq!(Type::CAP.to_string(), "cap");
80/// assert_eq!(Type::vector(Type::int(8), 16).to_string(), "i8x16");
81/// assert_eq!(size_of::<Type>(), 4);
82/// ```
83#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)]
84pub struct Type(u32);
85
86/// Which of the six kinds a [`Type`] is.
87///
88/// This is the discriminant on its own, for matching. It says nothing about the width or the
89/// lane count, which is why it is separate from the type rather than being the type.
90#[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
91pub enum Kind {
92 /// No value. The result type of a `store`, of a `call` to a `void` function, and of every
93 /// terminator.
94 Void,
95 /// An integer of some width, with no signedness.
96 Int,
97 /// A floating point value in one of the formats of [`Float`].
98 Float,
99 /// An address, with no pointee.
100 Ptr,
101 /// The state of memory, which only exists while memory SSA does.
102 Mem,
103 /// A capability, with no representation the IR knows about.
104 ///
105 /// Only the memory safety instructions produce or consume one. A function with none of them
106 /// has no value of this kind anywhere in it.
107 Cap,
108}
109
110/// A floating point format, named by its width in bits.
111///
112/// The names are the widths because that is what the textual form uses, and a reader who sees
113/// `f80` should not have to know that it occupies sixteen bytes on the stack. That is a layout
114/// question and it belongs to the target, not to the type.
115#[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
116pub enum Float {
117 /// IEEE binary16, which is `_Float16` and `__fp16`.
118 F16,
119 /// IEEE binary32, which is `float` everywhere we care about.
120 F32,
121 /// IEEE binary64, which is `double`.
122 F64,
123 /// The x87 80-bit extended format, which is `long double` on x86 SysV.
124 F80,
125 /// IEEE binary128, which is `_Float128`, and `long double` on AArch64 Linux.
126 F128,
127}
128
129impl Float {
130 /// The width of the format in bits.
131 ///
132 /// This is the width of the format and not the size of the object. `F80` is eighty bits of
133 /// format in a ten, twelve or sixteen byte object depending on the target.
134 #[must_use]
135 pub const fn bits(self) -> u32 {
136 match self {
137 Self::F16 => 16,
138 Self::F32 => 32,
139 Self::F64 => 64,
140 Self::F80 => 80,
141 Self::F128 => 128,
142 }
143 }
144
145 /// The format of that width, if there is one.
146 #[must_use]
147 pub const fn from_bits(bits: u32) -> Option<Self> {
148 match bits {
149 16 => Some(Self::F16),
150 32 => Some(Self::F32),
151 64 => Some(Self::F64),
152 80 => Some(Self::F80),
153 128 => Some(Self::F128),
154 _ => None,
155 }
156 }
157}
158
159impl fmt::Display for Float {
160 fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
161 write!(f, "f{}", self.bits())
162 }
163}
164
165// Where the packing lives. Changing any of these changes the meaning of every `Type` in a
166// serialised module, which is why the textual form carries a version.
167const BITS_SHIFT: u32 = 0;
168const BITS_MASK: u32 = 0xffff;
169const LANES_SHIFT: u32 = 16;
170const LANES_MASK: u32 = 0x1fff;
171const KIND_SHIFT: u32 = 29;
172
173impl Type {
174 /// The widest integer that can be represented, which is what limits `_BitInt`.
175 ///
176 /// Sixteen bits of width is more than any target's `BITINT_MAXWIDTH` and more than any
177 /// vector register, and it leaves room in the same four bytes for the lane count.
178 pub const MAX_BITS: u32 = BITS_MASK;
179
180 /// The most lanes a vector can have.
181 pub const MAX_LANES: u32 = LANES_MASK + 1;
182
183 /// No value.
184 pub const VOID: Self = Self::pack(Kind::Void, 0, 1);
185 /// An address.
186 pub const PTR: Self = Self::pack(Kind::Ptr, 0, 1);
187 /// The state of memory. See the note at the top of this module.
188 pub const MEM: Self = Self::pack(Kind::Mem, 0, 1);
189 /// A capability. See the note at the top of this module.
190 pub const CAP: Self = Self::pack(Kind::Cap, 0, 1);
191 /// The one-bit integer every comparison produces.
192 pub const I1: Self = Self::pack(Kind::Int, 1, 1);
193
194 /// Builds a type from its parts, with no checking. Every public constructor checks first.
195 const fn pack(kind: Kind, bits: u32, lanes: u32) -> Self {
196 Self((kind as u32) << KIND_SHIFT | (lanes - 1) << LANES_SHIFT | bits << BITS_SHIFT)
197 }
198
199 /// An integer `bits` wide.
200 ///
201 /// # Panics
202 ///
203 /// Panics if `bits` is zero or above [`Type::MAX_BITS`]. A zero-width integer is not a
204 /// thing the IR has, and a caller that computed one has a bug that gets much harder to
205 /// find if it is allowed to travel.
206 #[must_use]
207 pub const fn int(bits: u32) -> Self {
208 assert!(bits > 0 && bits <= Self::MAX_BITS, "integer width out of range");
209 Self::pack(Kind::Int, bits, 1)
210 }
211
212 /// A floating point value in the given format.
213 #[must_use]
214 pub const fn float(format: Float) -> Self {
215 Self::pack(Kind::Float, format.bits(), 1)
216 }
217
218 /// A vector of `lanes` copies of `lane`.
219 ///
220 /// # Panics
221 ///
222 /// Panics if `lane` is not an integer or a floating point type, if it is itself a vector,
223 /// or if `lanes` is zero or above [`Type::MAX_LANES`]. A vector of pointers is not in the
224 /// instruction set, so admitting the type would mean admitting a value nothing can be done
225 /// with.
226 #[must_use]
227 pub const fn vector(lane: Self, lanes: u32) -> Self {
228 assert!(lanes > 0 && lanes <= Self::MAX_LANES, "lane count out of range");
229 assert!(lane.is_scalar(), "a vector's lane is a scalar");
230 assert!(
231 matches!(lane.kind(), Kind::Int | Kind::Float),
232 "a vector's lane is an integer or a floating point value"
233 );
234 Self::pack(lane.kind(), lane.bits(), lanes)
235 }
236
237 /// Which of the six kinds this is.
238 #[must_use]
239 pub const fn kind(self) -> Kind {
240 match self.0 >> KIND_SHIFT {
241 0 => Kind::Void,
242 1 => Kind::Int,
243 2 => Kind::Float,
244 3 => Kind::Ptr,
245 4 => Kind::Mem,
246 _ => Kind::Cap,
247 }
248 }
249
250 /// The width of one lane in bits, which for a scalar is the width of the type.
251 ///
252 /// Zero for `void`, for `ptr` and for `cap`, since the width of an address is a property of
253 /// the target and not of the type, and a capability has no width in the IR at all. Ask the
254 /// target for the first and `spec/safe-memory/05-representation.md` for the second.
255 #[must_use]
256 pub const fn bits(self) -> u32 {
257 self.0 >> BITS_SHIFT & BITS_MASK
258 }
259
260 /// How many lanes this has, which is one unless it is a vector.
261 #[must_use]
262 pub const fn lanes(self) -> u32 {
263 (self.0 >> LANES_SHIFT & LANES_MASK) + 1
264 }
265
266 /// Whether this has exactly one lane.
267 #[must_use]
268 pub const fn is_scalar(self) -> bool {
269 self.lanes() == 1
270 }
271
272 /// Whether this has more than one lane.
273 #[must_use]
274 pub const fn is_vector(self) -> bool {
275 self.lanes() > 1
276 }
277
278 /// The type of one lane, which for a scalar is the type itself.
279 #[must_use]
280 pub const fn lane(self) -> Self {
281 Self::pack(self.kind(), self.bits(), 1)
282 }
283
284 /// The same shape as this, with the lane type replaced.
285 ///
286 /// This is what a comparison does: `icmp` over `i32x4` produces `i1x4`, and the rule that
287 /// the lane count is carried across is easier to get right in one place than at every
288 /// instruction that needs it.
289 ///
290 /// # Panics
291 ///
292 /// Panics under the same conditions as [`Type::vector`].
293 #[must_use]
294 pub const fn with_lane(self, lane: Self) -> Self {
295 Self::vector(lane, self.lanes())
296 }
297
298 /// Whether this is an integer, of any width, scalar or vector.
299 #[must_use]
300 pub const fn is_int(self) -> bool {
301 matches!(self.kind(), Kind::Int)
302 }
303
304 /// Whether this is a floating point value, scalar or vector.
305 #[must_use]
306 pub const fn is_float(self) -> bool {
307 matches!(self.kind(), Kind::Float)
308 }
309
310 /// Whether this is an address. A vector of pointers cannot be built, so this is scalar.
311 #[must_use]
312 pub const fn is_ptr(self) -> bool {
313 matches!(self.kind(), Kind::Ptr)
314 }
315
316 /// Whether this is the absence of a value.
317 #[must_use]
318 pub const fn is_void(self) -> bool {
319 matches!(self.kind(), Kind::Void)
320 }
321
322 /// Whether this is the state of memory.
323 #[must_use]
324 pub const fn is_mem(self) -> bool {
325 matches!(self.kind(), Kind::Mem)
326 }
327
328 /// Whether this is a capability. A vector of capabilities cannot be built, so this is scalar.
329 #[must_use]
330 pub const fn is_cap(self) -> bool {
331 matches!(self.kind(), Kind::Cap)
332 }
333
334 /// The floating point format, if this is one.
335 #[must_use]
336 pub const fn format(self) -> Option<Float> {
337 match self.kind() {
338 Kind::Float => Float::from_bits(self.bits()),
339 _ => None,
340 }
341 }
342
343 /// Parses the textual form, which is what the printer writes.
344 ///
345 /// ```
346 /// use rucc_ir::Type;
347 ///
348 /// assert_eq!(Type::parse("i32"), Some(Type::int(32)));
349 /// assert_eq!(Type::parse("f32x4"), Some(Type::vector(Type::float(rucc_ir::Float::F32), 4)));
350 /// assert_eq!(Type::parse("i0"), None);
351 /// assert_eq!(Type::parse("i32 "), None);
352 /// ```
353 #[must_use]
354 pub fn parse(text: &str) -> Option<Self> {
355 if text == "void" {
356 return Some(Self::VOID);
357 }
358 if text == "ptr" {
359 return Some(Self::PTR);
360 }
361 if text == "mem" {
362 return Some(Self::MEM);
363 }
364 if text == "cap" {
365 return Some(Self::CAP);
366 }
367 let (head, lanes) = match text.split_once('x') {
368 // A lane count of one is not written, so `i8x1` is not a spelling of anything and
369 // accepting it would give two texts for one type and break the round trip.
370 Some((head, lanes)) => (head, parse_u32(lanes).filter(|&n| n > 1)?),
371 None => (text, 1),
372 };
373 let bits = parse_u32(head.strip_prefix(['i', 'f'])?)?;
374 let lane = match head.as_bytes()[0] {
375 b'i' if bits > 0 && bits <= Self::MAX_BITS => Self::int(bits),
376 b'f' => Self::float(Float::from_bits(bits)?),
377 _ => return None,
378 };
379 if lanes > Self::MAX_LANES {
380 return None;
381 }
382 Some(if lanes == 1 { lane } else { Self::vector(lane, lanes) })
383 }
384}
385
386/// A decimal `u32` with no sign, no underscores, and no leading zero on a non-zero number.
387///
388/// `str::parse` would take `+4` and `0004`, and either one would be a second spelling of a
389/// type that already has one, which is what breaks a byte for byte round trip.
390fn parse_u32(text: &str) -> Option<u32> {
391 if text.is_empty() || (text.starts_with('0') && text.len() > 1) {
392 return None;
393 }
394 text.bytes().all(|b| b.is_ascii_digit()).then(|| text.parse().ok())?
395}
396
397impl fmt::Display for Type {
398 fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
399 match self.kind() {
400 Kind::Void => return f.write_str("void"),
401 Kind::Ptr => return f.write_str("ptr"),
402 Kind::Mem => return f.write_str("mem"),
403 Kind::Cap => return f.write_str("cap"),
404 Kind::Int => write!(f, "i{}", self.bits())?,
405 Kind::Float => write!(f, "f{}", self.bits())?,
406 }
407 if self.is_vector() {
408 write!(f, "x{}", self.lanes())?;
409 }
410 Ok(())
411 }
412}
413
414impl fmt::Debug for Type {
415 // The `Display` form is the one anybody wants to read, and a derived `Debug` would print
416 // the packed integer, which is not information anybody can use.
417 fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
418 fmt::Display::fmt(self, f)
419 }
420}
421
422#[cfg(test)]
423mod tests {
424 use super::*;
425
426 #[test]
427 fn a_type_is_four_bytes() {
428 assert_eq!(size_of::<Type>(), 4);
429 }
430
431 #[test]
432 fn memory_is_its_own_kind_and_nothing_else_answers_to_it() {
433 assert_eq!(Type::MEM.kind(), Kind::Mem);
434 assert!(Type::MEM.is_mem());
435 assert_eq!(Type::MEM.to_string(), "mem");
436 assert_eq!(Type::parse("mem"), Some(Type::MEM));
437 // It is not void, which is what a reader who skimmed the packing might expect, and the
438 // difference matters because a store produces no value and may still define memory.
439 for other in [Type::VOID, Type::PTR, Type::int(64), Type::float(Float::F64)] {
440 assert!(!other.is_mem(), "{other} answered to being memory");
441 assert_ne!(other, Type::MEM);
442 }
443 assert!(!Type::MEM.is_void() && !Type::MEM.is_ptr() && !Type::MEM.is_int());
444 }
445
446 #[test]
447 fn the_widest_vector_still_packs_beside_the_new_kind() {
448 // The kind took a bit off the lane count. Both ends of the range have to survive that,
449 // because getting the mask wrong reads back as a vector of a different width rather
450 // than as anything that fails.
451 let widest = Type::vector(Type::int(8), Type::MAX_LANES);
452 assert_eq!(widest.lanes(), Type::MAX_LANES);
453 assert_eq!(widest.lane(), Type::int(8));
454 let widest_int = Type::int(Type::MAX_BITS);
455 assert_eq!(widest_int.bits(), Type::MAX_BITS);
456 assert_eq!(widest_int.lanes(), 1);
457 assert_eq!(Type::vector(widest_int, Type::MAX_LANES).bits(), Type::MAX_BITS);
458 }
459
460 #[test]
461 fn the_parts_come_back_out() {
462 let v = Type::vector(Type::int(8), 16);
463 assert_eq!(v.kind(), Kind::Int);
464 assert_eq!(v.bits(), 8);
465 assert_eq!(v.lanes(), 16);
466 assert_eq!(v.lane(), Type::int(8));
467 assert!(v.is_vector());
468 assert!(!v.is_scalar());
469 }
470
471 #[test]
472 fn a_scalar_has_one_lane_and_is_its_own_lane() {
473 let i32_ = Type::int(32);
474 assert_eq!(i32_.lanes(), 1);
475 assert_eq!(i32_.lane(), i32_);
476 assert!(i32_.is_scalar());
477 }
478
479 #[test]
480 fn void_and_ptr_and_cap_have_no_width_of_their_own() {
481 assert_eq!(Type::VOID.bits(), 0);
482 assert_eq!(Type::PTR.bits(), 0);
483 assert_eq!(Type::CAP.bits(), 0);
484 assert!(Type::VOID.is_void());
485 assert!(Type::PTR.is_ptr());
486 assert!(Type::CAP.is_cap());
487 }
488
489 #[test]
490 fn a_capability_is_none_of_the_other_kinds() {
491 assert_eq!(Type::CAP.kind(), Kind::Cap);
492 assert_eq!(Type::CAP.to_string(), "cap");
493 assert_eq!(Type::parse("cap"), Some(Type::CAP));
494 // A pointer is the one it would be mistaken for, since the instrumentation keeps the two
495 // side by side, and the whole point of the type is that they are not interchangeable.
496 for other in [Type::VOID, Type::PTR, Type::MEM, Type::int(64), Type::float(Float::F64)] {
497 assert!(!other.is_cap(), "{other} answered to being a capability");
498 assert_ne!(other, Type::CAP);
499 }
500 assert!(!Type::CAP.is_ptr() && !Type::CAP.is_void() && !Type::CAP.is_mem());
501 assert!(Type::CAP.is_scalar());
502 }
503
504 #[test]
505 fn a_comparison_keeps_the_lane_count() {
506 assert_eq!(Type::vector(Type::int(32), 4).with_lane(Type::I1), Type::vector(Type::I1, 4));
507 assert_eq!(Type::int(32).with_lane(Type::I1), Type::I1);
508 }
509
510 #[test]
511 fn the_extremes_are_representable() {
512 let widest = Type::int(Type::MAX_BITS);
513 assert_eq!(widest.bits(), Type::MAX_BITS);
514 let longest = Type::vector(Type::I1, Type::MAX_LANES);
515 assert_eq!(longest.lanes(), Type::MAX_LANES);
516 assert_eq!(longest.lane(), Type::I1);
517 }
518
519 #[test]
520 fn every_type_round_trips_through_its_text() {
521 let mut types = vec![Type::VOID, Type::PTR, Type::MEM, Type::CAP];
522 for bits in [1, 8, 16, 32, 64, 128, 3, 12, Type::MAX_BITS] {
523 types.push(Type::int(bits));
524 }
525 for format in [Float::F16, Float::F32, Float::F64, Float::F80, Float::F128] {
526 types.push(Type::float(format));
527 }
528 for lanes in [2, 4, 16, Type::MAX_LANES] {
529 types.push(Type::vector(Type::int(8), lanes));
530 types.push(Type::vector(Type::float(Float::F32), lanes));
531 }
532 for ty in types {
533 let text = ty.to_string();
534 assert_eq!(Type::parse(&text), Some(ty), "{text}");
535 }
536 }
537
538 #[test]
539 fn the_texts_that_are_not_types_are_refused() {
540 for text in [
541 "",
542 "i",
543 "f",
544 "i0",
545 "i8x0",
546 "i8x1",
547 "f24",
548 "f0",
549 "i-1",
550 "i+1",
551 "i08",
552 "i8x01",
553 "int",
554 "i32 ",
555 " i32",
556 "i8x",
557 "x4",
558 "i8x4x4",
559 "i65536",
560 "i8x8193",
561 "voidx2",
562 "ptrx2",
563 "capx2",
564 "cap ",
565 "Cap",
566 "capability",
567 ] {
568 assert_eq!(Type::parse(text), None, "{text}");
569 }
570 }
571
572 #[test]
573 fn a_format_knows_its_width_both_ways() {
574 for format in [Float::F16, Float::F32, Float::F64, Float::F80, Float::F128] {
575 assert_eq!(Float::from_bits(format.bits()), Some(format));
576 assert_eq!(Type::float(format).format(), Some(format));
577 }
578 assert_eq!(Float::from_bits(24), None);
579 assert_eq!(Type::int(32).format(), None);
580 }
581
582 #[test]
583 #[should_panic(expected = "integer width out of range")]
584 fn a_zero_width_integer_is_refused() {
585 let _ = Type::int(0);
586 }
587
588 #[test]
589 #[should_panic(expected = "integer width out of range")]
590 fn an_integer_wider_than_the_packing_is_refused() {
591 let _ = Type::int(Type::MAX_BITS + 1);
592 }
593
594 #[test]
595 #[should_panic(expected = "lane count out of range")]
596 fn a_vector_with_no_lanes_is_refused() {
597 let _ = Type::vector(Type::int(8), 0);
598 }
599
600 #[test]
601 #[should_panic(expected = "a vector's lane is a scalar")]
602 fn a_vector_of_vectors_is_refused() {
603 let _ = Type::vector(Type::vector(Type::int(8), 2), 2);
604 }
605
606 #[test]
607 #[should_panic(expected = "an integer or a floating point value")]
608 fn a_vector_of_pointers_is_refused() {
609 let _ = Type::vector(Type::PTR, 2);
610 }
611
612 #[test]
613 #[should_panic(expected = "an integer or a floating point value")]
614 fn a_vector_of_capabilities_is_refused() {
615 let _ = Type::vector(Type::CAP, 2);
616 }
617}