From 56aac4638a61189de63c9848344dd0f18c1d4883 Mon Sep 17 00:00:00 2001 From: sfja Date: Tue, 28 Apr 2026 16:46:33 +0200 Subject: [PATCH] add overblik.md --- docs/images/ast.jpg | Bin 0 -> 112821 bytes docs/images/ast_operator_precedence.jpg | Bin 0 -> 148957 bytes docs/images/error_message.png | Bin 0 -> 12829 bytes docs/images/mir_lowering.jpg | Bin 0 -> 228913 bytes docs/images/symbol_resolution.jpg | Bin 0 -> 129392 bytes docs/images/tokenization.jpg | Bin 0 -> 157537 bytes docs/images/type_error.png | Bin 0 -> 14634 bytes docs/images/type_information.jpg | Bin 0 -> 110733 bytes docs/overblik.md | 260 ++++++++++++++++++++++++ 9 files changed, 260 insertions(+) create mode 100644 docs/images/ast.jpg create mode 100644 docs/images/ast_operator_precedence.jpg create mode 100644 docs/images/error_message.png create mode 100644 docs/images/mir_lowering.jpg create mode 100644 docs/images/symbol_resolution.jpg create mode 100644 docs/images/tokenization.jpg create mode 100644 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som det består af. Projektet er i et meget tidligt udviklingsstadie. Af denne grund er dokumentet både forklarende af nuværende dele (28.4.2026) og spekulativ på de dele, som ikke er udviklet endnu. + +## Abstrakt + +Projektets formål er at bygge high level optimizing compiler med modulær compiler-infrastruktur. Kildekilde i form af et bespoke programmeringssprog parses, valideres, sænkes og optimeres, og bruges til at generere assembly til afvikling på VM og ISA. Compileren er bygget op af en serie af trin, som transformerer programmet til forskellige midlertigie repræsentationer, der bruges til at udvinde information til at omskrive programmet. + +## Implementering + +Compileren selv er skrevet i Typescript med Deno. Implementeringen bruger diverse features fra Typescript og Javascript tilfordel for ergonomi. Implementeringen bruger også forskellige features og teknikker, som forbedre compilerens ressourceforbrug og afviklingshastighed. + +## Kildekode + +Compilerens frontend er lavet til et bespoke programmeringssprog, som fornuværende er døbt *ethlang*. + +Eksempel på syntaks: +```rs +fn add(lhs: i64, rhs: i64) -> i64 +{ + return lhs + rhs; +} + +fn main() +{ + // a og b er variable + let a: i64 = 5; + let b = add(a, 3); + + if b > 7 { + puts("b er større end 7\n"); + } else { + puts("b er ikke større end 7\n"); + } + + while b <= 7 { + b = b + 1; + } + + let c: *mut i64 = &mut a; + *c = 123; + + let d = [1, 2, 3]; + d[1] = 321; +} +``` + +Det ses, at syntaksen er inspireret af Rust. Der understøttes almene programmeringskonstruktioner som if-statements, variabler, funktioner, løkker og arrays. Derudover også eksplicitte pointers. + +Formålet med sproget er at være ligesom C med Rust-syntaks og forskellige features fra Rust og C++. Sproget skal kunne facilitere low level kontrol over ressourcer. Memory-håndtering er i udgangspunkt manuelt. + +Det er intentionen, at sproget skal bruges til desktop-applikationer på X86_64 og systemkode til en 16-bits custom ISA emulator. + +Sproget er fortrinsvis LL(1) og kan beskrives i et Context Free Grammer. Der er dog undtagelser, eksempelvis venstre side af assignment-statements og (i fremtiden) nestede `/* ... */`-kommentarer. + +## Tokenization + +Dette trin kildekode i form af tekst op i en serie af tokens. Et token er en tekststykke med en bestemt token-type specificeret. + +![](./images/tokenization.jpg)
**Figur:** Visualisering af tekst og tokens. + +Inkluderet i dette trin er også filtrering af kodekommentare og whitespace. + +Udover sin token-type og tekst indholder tokens også dens lokation i kildekode, dvs. linje- og kolonnenummer og byteindeks i textfilen. Disse bruges til diagnosticering, eksempelvis i fejlbeskeder. + +![](./images/error_message.png)
**Figur:** Eksempel på error-besked med lokation i kildekoden. + +Tokenization er implementeret med en *Lexer* med en serie regler specificeret, hvor hver regel består af en Regex-mønster og en actoin-funktion. + +```ts +export function tokenize(text: string, reporter: FileReporter): Tok[] { + return new Lexer() + // ignore whitespace + .add(/[ \t\r\n]+/, (_) => null) + // ignore // comments + .add(/\/\/[^\n]*/, (_) => null) + // operators, e.g. +, -, << + .add(operatorPattern, (loc, value) => ({ type: value, value, loc })) + // identifiers and keywords, e.g. print, if + .add(/[a-zA-Z_][a-zA-Z0-9_]*/, (loc, value) => { + const type = keywordPattern.test(value) ? value : "ident"; + return { type, value, loc }; + }) + // integer literals, e.g. 123, 32u8 + .add(/(?:0|(?:[1-9][0-9]*))(?:[iu](?:8|16|32|64|size))?/, (loc, value) => { + return { type: "int", value, loc }; + }) + // string literals, e.g. "hello\n" + .add(/"(?:[^\\"]|\\.)*"/, (loc, literal) => { + /*...*/ + }) + // report unrecognized characters + .add(/./, (loc, value) => { + // ... + reporter.error(loc, `illegal character '${escapedChar}'`); + return null; + }) + .lex(text); +} +``` + +`Lexer`-klassen og `tokenize`-funktionen er defineret i [`src/front/parse.ts`](/src/front/parse.ts). + +## Parsing + +Parsing består af at konvertere programmet i form af tokens til et syntakstræ (AST). Træet er en hierarkist repræsentation af programmet, hvor man i roden har en liste af top level konstruktioner som funktionsdefinitioner, og længere nede i træet er der sub-statements, expressions, sub-expressions, osv. + +![](./images/ast.jpg)
**Figur:** Eksempel på AST-repræsentation af let-statement. + +Parseren har også til opgave at håndtere operator precedence. Dvs. i syntakstræet skal rækkefølgen af operators som `+` og `*` være utvetydig. + +![](./images/ast_operator_precedence.jpg)
**Figur:** AST med inkorporeret operator precedence med `+` og `*`. Det ses at `*` 'binder stærkere' end `+`. + +Parsing er implementeret som en `Parser`-klasse med recursive decent. Binær-operatorhåndtering er implementeret med Pratt parsing. `Parser`-klassen er defineret i [`src/front/parse.ts`](/src/front/parse.ts). AST-typerne er defineret i [`src/ast.ts`](/src/ast.ts). + +## Symbol resolution + +Dette trin har til opgave at sammenkæde navne med deres definitioner. Eksempelvis kan navnet `a` være defineret af et bestemt let-statement. + +![](./images/symbol_resolution.jpg)
**Figur:** Program med symbol resolution. Det ses, at `a` i expression `%5` løses til det første let-statement `*1` og `b` i expression `%b` løses til `*2`. + +Symbol resolution indeholder regler for sekvens og scoping, som diktere hvornår definitioner er relevante i forhold til deres navne. + +Symbol resolution er implementeret i funktionen `resolve`. Resultatet af functionen er et map af (relevante) AST-noder og deres symboler. Et løst symbol er repræsenteret af `Sym`-typen. Typen variere i forhold til, om symbolkilden er et let-statement, funktionsparameter, osv. `Sym` og `resolve` er defineret i [`src/front/resolve.ts`](/src/front/resolve.ts). + +## Validering og Type checking + +Formålet med dette trin er todelt. Den ene del er at samle typeinformation og lave type-resolution. Den anden er at verificere, at programmet er korrekt struktureret. Dvs. efter dette trin, har man et well-formed AST med fyldesgørende symbol- og typeinformation. + +Programmeringssproget understøtter typeinferens, dvs. det ikke er nødvendigt at specificere konkrete typer, hvis compileren kan regne ud, hvad den rigtige type er. Typeinferens er implementeret med kombineret pre og post order tree traversal på AST'en. I pre order-delen propagerer der en 'forventet' type. Denne type bruges til at løse ambiguiteter under traversen. I post order-delen bliver en type propageret op fra hver expression. I alle tilfælde hvor der er krav til typerne (eksempelvis i `+`-expressions hvor højre og venstre side skal have samme integer-type, eller i if-statements hvor betingelsen skal have bool-typen) bliver typerne håndtered med type resolution. Her udregnes den resulterende type, eller også meldes der en fejl om at typerne ikke er kompatible. + +![](./images/type_error.png)
**Figur:** Fejlbesked om ukompatible typer. + +Indsamlet typeinformation med løste typekonflikter indsættes i et map mellem (relevante) AST-nodes of typen. + +![](./images/type_information.jpg)
**Figur:** Typeinformation til et program. Det ses at alle expression-nodes har en associeret type. + +Typer er repræsenteret af `Ty`-typen. Typer er underlagt interning[^1], dvs. compileren sørger for, at der kun findes én instans for hver slags type. Eksempelvis vil flere kald til `Ty.create(...)` med samme parametre, returner den samme instans. Typerned er interned på et hash som udregned ud fra typen. + +Under type checking findes der både konkrete og abstrakte typer. Konkrete typer er typer som `i32`, `*[u8]`. Abstrakte typer er typer som type checkeren bruger internt. Dette er eksempelvis `{AnyInt}`. Denne type repræsenterer enhver int-type. Når nok information bliver tilrådighed, eksempelvis at en værdi `{AnyInt}` bliver assigned til en varbel med typen `i32`, så erstattes den abstrakte type med den konkrete. Dette gøres med en partiel tree traversal, hvor typerne for hver sub-expression omskrives. + +Abstrakte typer er her et andet koncept end polymorfiske runtime-typer, som abstrakte klasser i nogle sprog. En abstrakt type i den sammenhæng, ville repræsenteres eksempelvis som en konkret pointer-type. Abstrakte typer er kun til internt brug i type checkeren. + +Efter type checking skal alle typer være konkrete. Under type checking samles alle expression-typer i en container, som kan itereres over som et contiguous array. Herved kan alle typer checkes uden en ekstra travers. + +Type checkeren laver andre valideringer med formål om at validere hele programmet. Et valideret programmet betyder i denne sammenhæng, at programmet overholder alle kravene, som kræves for at kunne blive kompileret. Dog er der visse valideringer, som ikke fortages i dette trin. Eksempelvis control flow-validering, som eksempelvis tjekker at man returnerer i funktioner, bliver gjort i et senere trin. + +Validering, typeinferens og -checking er implementeret i `Checker`-klassen. Resultatet af denne er en `CheckedFn`-type for hver funktion. `Checker` og `CheckedFn` er defineret i [`src/front/check.ts`](/src/front/check.ts). `Ty` er defineret i [`src/ty.ts`](/src/ty.ts). + +## AST-sænkning / Mid-level Intermediary Representation + +I dette trin sænkes programmet fra AST-repræsentation til Mid-level Intermediary Repræsentation (MIR). MIR er en repræsentation af programmet i SSA-form med programmets Control Flow Graph (CFG) repræsenteret som Basic Blocks, programmets data flow repræsenteret som registers og phi-nodes, og programmets operationer som sekventielle instruktioner. + +MIR er typestærkt ved at hver register har en associeret type. De fleste af disse typer har deres kilde i type checkeren output. + +![](./images/mir_lowering.jpg)
**Figur:** Funktione `foo() -> i32` med dets symbol- og typeinformation sænket til MIR. OBS de blå`%_`-labels'ne under __Type checking__ (expressions) er urelatede til samme i __MIR lowering__ (registre). + +Det ses på illustrationen, hvordan let-statements bliver til `Alloca`-instruktioner, assignment (og initialisering) til `Store`-instruktioner, variabler til `Load`-instruktioner, integer literals til `Int`, return til `Return`, osv. Hver register skrives til én gang, som udgør SSA-formen. Hele koden er i Basic Block'en `bb0`. + +## MIR Control Flow-analyse + +I dette trin analyseres control flow'et i MIR. Dette er primært et valideringstrin. Her fanges control flow-relaterede fejl såsom manglende return-statements. + +Ikke implementeret. + +### Monomorphiseing + +Sproget understøtter generiske typer og parametre. + +Eksempel: +```rs +fn identity(v: V) -> V +{ + return v; +} + +fn main() +{ + let a: u8 = identity(25); + let b = identity::<*u8>(&a); + let c = identity("hello"); +} +``` + +Efter MIR-sænkning, er generiske funktioner stadig repræsenteret som ensformige generiske funktioner. Eksempelvis vil `identity`-funktionen ligne: +```llvm +fn identity(V) -> V +{ +bb0: + %0: V = Param 0 + Return %0 +} + +fn main() +{ +bb0: + %a: u8 = Alloc + %b: *u8 = Alloc + %c: *[u8] = Alloc + %0: u8 = Int 25 + %1: fn identity(u8) -> u8 = Fn identity + %2: u8 = Call %1(%0) + Store [ptr %a] = %2 + %3: fn identity<*u8>(*u8) -> *u8 = Fn identity + %4: *u8 = Call %3(%a) + Store [ptr %b] = %4 + %5: *[u8] = Str "hello" + %6: fn identity<*[u8]>(*[u8]) -> *[u8] = Fn identity + %7: u8 = Call %6(%5) + Store [ptr %a] = %7 + %8 = Void + Return %8 +} +``` + +For at kunne kompileres videre, skal generiske funktioner konkretiseres. Dette er n process ved navn monomorphization. Her stemples generiske funktioner ud i de konkrete funktioner, som koden bruger. Eksempelvis for hver af de 3 kald til `identitity`-funktionen resultere i lignende MIR: +```llvm +fn identity(u8) -> u8 +{ +bb0: + %0: u8 = Param 0 + Return %0 +} + +fn identity<*u8>(*u8) -> *u8 +{ +bb0: + %0: *u8 = Param 0 + Return %0 +} + +fn identity<*[u8]>(*[u8]) -> *[u8] +{ +bb0: + %0: *[u8] = Param 0 + Return %0 +} + +fn main() +{ +bb0: + ... + %1: fn identity(u8) -> u8 = Fn identity + ... + %3: fn identity<*u8>(*u8) -> *u8 = Fn identity<*u8> + ... + %6: fn identity<*[u8]>(*[u8]) -> *[u8] = Fn identity:: + ... +} +``` + +Ikke implementeret. + +## MIR-sænkning / Low-level Intermediary Representation + +I dette trin sænkes programmet i MIR-form til en yderligere IR, LIR. MIR og LIR er ens på mange punkter, men med visse forskelle. Den største forskel er, at hvor MIR har high level-typer (`Ty`-typer) så har LIR et mere primitivt typesystem. I MIR, ligeledes i resten af det high-level typesystem er der forskel på signed og unsigned integers. I LIR er der ingen forskel, istedet er det signed og unsigned instruktioner. + +[^1]: https://en.wikipedia.org/wiki/Interning_(computer_science) +