standalone/demo: numpy2 compatibility

Now that everything is ported to use strided impl, dynamic-ndim ndarray
instances do not exist anymore.

.clang-format

@@ -0,0 +1,32 @@
+BasedOnStyle: LLVM
+
+Language: Cpp
+Standard: Cpp11
+
+AccessModifierOffset: -1
+AlignEscapedNewlines: Left
+AlwaysBreakAfterReturnType: None
+AlwaysBreakTemplateDeclarations: Yes
+AllowAllParametersOfDeclarationOnNextLine: false
+AllowShortFunctionsOnASingleLine: Inline
+BinPackParameters: false
+BreakBeforeBinaryOperators: NonAssignment
+BreakBeforeTernaryOperators: true
+BreakConstructorInitializers: AfterColon
+BreakInheritanceList: AfterColon
+ColumnLimit: 120
+ConstructorInitializerAllOnOneLineOrOnePerLine: true
+ContinuationIndentWidth: 4
+DerivePointerAlignment: false
+IndentCaseLabels: true
+IndentPPDirectives: None
+IndentWidth: 4
+MaxEmptyLinesToKeep: 1
+PointerAlignment: Left
+ReflowComments: true
+SortIncludes: false
+SortUsingDeclarations: true
+SpaceAfterTemplateKeyword: false
+SpacesBeforeTrailingComments: 2
+TabWidth: 4
+UseTab: Never

.clippy.toml

@@ -0,0 +1 @@
+doc-valid-idents = ["CPython", "NumPy", ".."]

.gitignore

@@ -1,2 +1,4 @@
 __pycache__
 /target
+/nac3standalone/demo/linalg/target
+nix/windows/msys2

.pre-commit-config.yaml

@@ -0,0 +1,24 @@
+# See https://pre-commit.com for more information
+# See https://pre-commit.com/hooks.html for more hooks
+
+default_stages: [pre-commit]
+
+repos:
+  - repo: local
+    hooks:
+      - id: nac3-cargo-fmt
+        name: nac3 cargo format
+        entry: nix
+        language: system
+        types: [file, rust]
+        pass_filenames: false
+        description: Runs cargo fmt on the codebase.
+        args: [develop, -c, cargo, fmt, --all]
+      - id: nac3-cargo-clippy
+        name: nac3 cargo clippy
+        entry: nix
+        language: system
+        types: [file, rust]
+        pass_filenames: false
+        description: Runs cargo clippy on the codebase.
+        args: [develop, -c, cargo, clippy, --tests]

Cargo.toml

@@ -1,12 +1,15 @@
 [workspace]
 members = [
+  "nac3ld",
   "nac3ast",
   "nac3parser",
   "nac3core",
+  "nac3core/nac3core_derive",
   "nac3standalone",
   "nac3artiq",
   "runkernel",
 ]
+resolver = "2"
 
 [profile.release]
 debug = true

README.md

@@ -1,5 +1,10 @@
-# NAC3
+<div align="center">
 
+![icon](https://git.m-labs.hk/M-Labs/nac3/raw/branch/master/nac3.svg)
+
+</div>
+
+# NAC3
 NAC3 is a major, backward-incompatible rewrite of the compiler for the [ARTIQ](https://m-labs.hk/artiq) physics experiment control and data acquisition system. It features greatly improved compilation speeds, a much better type system, and more predictable and transparent operation.
 
 NAC3 has a modular design and its applicability reaches beyond ARTIQ. The ``nac3core`` module does not contain anything specific to ARTIQ, and can be used in any project that requires compiling Python to machine code.
@@ -8,7 +13,7 @@ NAC3 has a modular design and its applicability reaches beyond ARTIQ. The ``nac3
 
 ## Packaging
 
-NAC3 is packaged using the [Nix](https://nixos.org) Flakes system. Install Nix 2.4+ and enable flakes by adding ``experimental-features = nix-command flakes`` to ``nix.conf`` (e.g. ``~/.config/nix/nix.conf``).
+NAC3 is packaged using the [Nix](https://nixos.org) Flakes system. Install Nix 2.8+ and enable flakes by adding ``experimental-features = nix-command flakes`` to ``nix.conf`` (e.g. ``~/.config/nix/nix.conf``).
 
 ## Try NAC3
 
@@ -16,43 +21,21 @@ NAC3 is packaged using the [Nix](https://nixos.org) Flakes system. Install Nix 2
 
 After setting up Nix as above, use ``nix shell git+https://github.com/m-labs/artiq.git?ref=nac3`` to get a shell with the NAC3 version of ARTIQ. See the ``examples`` directory in ARTIQ (``nac3`` Git branch) for some samples of NAC3 kernel code.
 
-### Windows (work in progress)
+### Windows
 
-NAC3 ARTIQ packaging for MSYS2/Windows is not yet complete so installation involves many manual steps. It is also less tested and you may encounter problems.
-
-Install [MSYS2](https://www.msys2.org/) and run the following commands:
+Install [MSYS2](https://www.msys2.org/), and open "MSYS2 CLANG64". Edit ``/etc/pacman.conf`` to add:
 ```
-pacman -S mingw-w64-x86_64-python-h5py mingw-w64-x86_64-python-pyqt5 mingw-w64-x86_64-python-scipy mingw-w64-x86_64-python-prettytable mingw-w64-x86_64-python-pygit2
-pacman -S mingw-w64-x86_64-python-pip
-pip install qasync
-pip install pyqtgraph
-pacman -S patch git
-git clone https://github.com/m-labs/sipyco
-cd sipyco
-git show 20c946aad78872fe60b78d9b57a624d69f3eea47 | patch -p1 -R
-python setup.py install
-cd ..
-git clone -b nac3 https://github.com/m-labs/artiq
-cd artiq
-python setup.py install
+[artiq]
+SigLevel = Optional TrustAll
+Server = https://msys2.m-labs.hk/artiq-nac3
 ```
 
-Locate a recent build of ``nac3artiq-mingw`` from [Hydra](https://nixbld.m-labs.hk) and download ``nac3artiq.zip``. Then extract the contents in the appropriate location:
+Then run the following commands:
 ```
-pacman -S unzip
-wget https://nixbld.m-labs.hk/build/97899/download/1/nac3artiq.zip  # edit the build number
-unzip nac3artiq.zip -d C:/msys64/mingw64/lib/python3.9/site-packages
+pacman -Syu
+pacman -S mingw-w64-clang-x86_64-artiq
 ```
 
-Install additional NAC3 dependencies:
-```
-pacman -S mingw-w64-x86_64-lld
-wget https://nixbld.m-labs.hk/build/97899/download/1/mcfgthread-12.dll  # edit the build number
-cp mcfgthread-12.dll C:/msys64/mingw64/bin
-```
-
-And you should be good to go.
-
 ## For developers
 
 This repository contains:
@@ -60,6 +43,7 @@ This repository contains:
 - ``nac3parser``: Python parser (based on RustPython).
 - ``nac3core``: Core compiler library, containing type-checking and code generation.
 - ``nac3standalone``: Standalone compiler tool (core language only).
+- ``nac3ld``: Minimalist RISC-V and ARM linker.
 - ``nac3artiq``: Integration with ARTIQ and implementation of ARTIQ-specific extensions to the core language.
 - ``runkernel``: Simple program that runs compiled ARTIQ kernels on the host and displays RTIO operations. Useful for testing without hardware.
 
@@ -67,3 +51,12 @@ Use ``nix develop`` in this repository to enter a development shell.
 If you are using a different shell than bash you can use e.g. ``nix develop --command fish``.
 
 Build NAC3 with ``cargo build --release``. See the demonstrations in ``nac3artiq`` and ``nac3standalone``.
+
+### Pre-Commit Hooks
+
+You are strongly recommended to use the provided pre-commit hooks to automatically reformat files and check for non-optimal Rust practices using Clippy. Run `pre-commit install` to install the hook and `pre-commit` will automatically run `cargo fmt` and `cargo clippy` for you.
+
+Several things to note:
+
+- If `cargo fmt` or `cargo clippy` returns an error, the pre-commit hook will fail. You should fix all errors before trying to commit again.
+- If `cargo fmt` reformats some files, the pre-commit hook will also fail. You should review the changes and, if satisfied, try to commit again.

flake.lock

@@ -2,16 +2,16 @@
   "nodes": {
     "nixpkgs": {
       "locked": {
-        "lastModified": 1647282937,
-        "narHash": "sha256-K8Oo6QyFCfiEWTRpQVfzcwI3YNMKlz6Tu8rr+o3rzRQ=",
+        "lastModified": 1735834308,
+        "narHash": "sha256-dklw3AXr3OGO4/XT1Tu3Xz9n/we8GctZZ75ZWVqAVhk=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "64fc73bd74f04d3e10cb4e70e1c65b92337e76db",
+        "rev": "6df24922a1400241dae323af55f30e4318a6ca65",
         "type": "github"
       },
       "original": {
         "owner": "NixOS",
-        "ref": "nixos-21.11",
+        "ref": "nixos-unstable",
         "repo": "nixpkgs",
         "type": "github"
       }

flake.nix

@@ -1,69 +1,57 @@
 {
   description = "The third-generation ARTIQ compiler";
 
-  inputs.nixpkgs.url = github:NixOS/nixpkgs/nixos-21.11;
+  inputs.nixpkgs.url = github:NixOS/nixpkgs/nixos-unstable;
 
   outputs = { self, nixpkgs }:
     let
       pkgs = import nixpkgs { system = "x86_64-linux"; };
-      pkgs-mingw = import nixpkgs {
-        system = "x86_64-linux";
-        crossSystem = { config = "x86_64-w64-mingw32"; libc = "msvcrt"; };
-        # work around https://github.com/NixOS/nixpkgs/issues/149593
-        overlays = [
-          (self: super: {
-            openssh = super.openssh.overrideAttrs(oa: { doCheck = false; });
-          })
-        ];
-      };
-      msys2-python-tar = pkgs.fetchurl {
-        url = "https://mirror.msys2.org/mingw/mingw64/mingw-w64-x86_64-python-3.9.7-4-any.pkg.tar.zst";
-        sha256 = "0iwlgbk4b457yn9djwqswid55xhyyi35qymz1lfh42xwdpxdm47c";
-      };
-      msys2-python = pkgs.stdenvNoCC.mkDerivation {
-        name = "msys2-python";
-        src = msys2-python-tar;
-        buildInputs = [ pkgs.gnutar pkgs.zstd ];
-        phases = [ "installPhase" ];
-        installPhase =
-          ''
-          mkdir $out
-          tar xf $src -C $out
-          '';
-      };
-      pyo3-mingw-config = pkgs.writeTextFile {
-        name = "pyo3-mingw-config";
-        text =
-          ''
-          implementation=CPython
-          version=3.9
-          shared=true
-          abi3=false
-          lib_name=python3.9
-          lib_dir=${msys2-python}/mingw64/lib
-          pointer_width=64
-          build_flags=WITH_THREAD
-          suppress_build_script_link_lines=false
-          '';
-      };
+      pkgs32 = import nixpkgs { system = "i686-linux"; };
     in rec {
       packages.x86_64-linux = rec {
-        llvm-nac3 = pkgs.callPackage "${self}/llvm" {};
+        llvm-nac3 = pkgs.callPackage ./nix/llvm {};
+        llvm-tools-irrt = pkgs.runCommandNoCC "llvm-tools-irrt" {}
+          ''
+          mkdir -p $out/bin
+          ln -s ${pkgs.llvmPackages_14.clang-unwrapped}/bin/clang $out/bin/clang-irrt
+          ln -s ${pkgs.llvmPackages_14.llvm.out}/bin/llvm-as $out/bin/llvm-as-irrt
+          '';
+        demo-linalg-stub = pkgs.rustPlatform.buildRustPackage {
+          name = "demo-linalg-stub";
+          src = ./nac3standalone/demo/linalg;
+          cargoLock = {
+            lockFile = ./nac3standalone/demo/linalg/Cargo.lock;
+          };
+          doCheck = false;
+        };
+        demo-linalg-stub32 = pkgs32.rustPlatform.buildRustPackage {
+          name = "demo-linalg-stub32";
+          src = ./nac3standalone/demo/linalg;
+          cargoLock = {
+            lockFile = ./nac3standalone/demo/linalg/Cargo.lock;
+          };
+          doCheck = false;
+        };
         nac3artiq = pkgs.python3Packages.toPythonModule (
-          pkgs.rustPlatform.buildRustPackage {
+          pkgs.rustPlatform.buildRustPackage rec {
             name = "nac3artiq";
             outputs = [ "out" "runkernel" "standalone" ];
             src = self;
-            cargoLock = { lockFile = ./Cargo.lock; };
-            nativeBuildInputs = [ pkgs.python3 pkgs.llvmPackages_13.clang-unwrapped llvm-nac3 ];
+            cargoLock = {
+              lockFile = ./Cargo.lock;
+            };
+            passthru.cargoLock = cargoLock;
+            nativeBuildInputs = [ pkgs.python3 (pkgs.wrapClangMulti pkgs.llvmPackages_14.clang) llvm-tools-irrt pkgs.llvmPackages_14.llvm.out llvm-nac3 ];
             buildInputs = [ pkgs.python3 llvm-nac3 ];
-            checkInputs = [ (pkgs.python3.withPackages(ps: [ ps.numpy ])) ];
+            checkInputs = [ (pkgs.python3.withPackages(ps: [ ps.numpy ps.scipy ])) ];
             checkPhase =
               ''
               echo "Checking nac3standalone demos..."
               pushd nac3standalone/demo
               patchShebangs .
-              ./check_demos.sh
+              export DEMO_LINALG_STUB=${demo-linalg-stub}/lib/liblinalg.a
+              export DEMO_LINALG_STUB32=${demo-linalg-stub32}/lib/liblinalg.a
+              ./check_demos.sh -i686
               popd
               echo "Running Cargo tests..."
               cargoCheckHook
@@ -88,22 +76,22 @@
         };
 
         # LLVM PGO support
-        llvm-nac3-instrumented = pkgs.callPackage "${self}/llvm" {
-          stdenv = pkgs.llvmPackages_13.stdenv;
+        llvm-nac3-instrumented = pkgs.callPackage ./nix/llvm {
+          stdenv = pkgs.llvmPackages_14.stdenv;
           extraCmakeFlags = [ "-DLLVM_BUILD_INSTRUMENTED=IR" ];
         };
         nac3artiq-instrumented = pkgs.python3Packages.toPythonModule (
           pkgs.rustPlatform.buildRustPackage {
             name = "nac3artiq-instrumented";
             src = self;
-            cargoLock = { lockFile = ./Cargo.lock; };
-            nativeBuildInputs = [ pkgs.python3 pkgs.llvmPackages_13.clang-unwrapped llvm-nac3-instrumented ];
+            inherit (nac3artiq) cargoLock;
+            nativeBuildInputs = [ pkgs.python3 packages.x86_64-linux.llvm-tools-irrt llvm-nac3-instrumented ];
             buildInputs = [ pkgs.python3 llvm-nac3-instrumented ];
             cargoBuildFlags = [ "--package" "nac3artiq" "--features" "init-llvm-profile" ];
             doCheck = false;
             configurePhase =
               ''
-              export CARGO_TARGET_X86_64_UNKNOWN_LINUX_GNU_RUSTFLAGS="-C link-arg=-L${pkgs.llvmPackages_13.compiler-rt}/lib/linux -C link-arg=-lclang_rt.profile-x86_64"
+              export CARGO_TARGET_X86_64_UNKNOWN_LINUX_GNU_RUSTFLAGS="-C link-arg=-L${pkgs.llvmPackages_14.compiler-rt}/lib/linux -C link-arg=-lclang_rt.profile-x86_64"
               '';
             installPhase =
               ''
@@ -115,27 +103,51 @@
         );
         nac3artiq-profile = pkgs.stdenvNoCC.mkDerivation {
           name = "nac3artiq-profile";
-          src = self;
-          buildInputs = [ (python3-mimalloc.withPackages(ps: [ ps.numpy nac3artiq-instrumented ])) pkgs.lld_13 pkgs.llvmPackages_13.libllvm ];
+          srcs = [
+            (pkgs.fetchFromGitHub {
+              owner = "m-labs";
+              repo = "sipyco";
+              rev = "094a6cd63ffa980ef63698920170e50dc9ba77fd";
+              sha256 = "sha256-PPnAyDedUQ7Og/Cby9x5OT9wMkNGTP8GS53V6N/dk4w=";
+            })
+            (pkgs.fetchFromGitHub {
+              owner = "m-labs";
+              repo = "artiq";
+              rev = "28c9de3e251daa89a8c9fd79d5ab64a3ec03bac6";
+              sha256 = "sha256-vAvpbHc5B+1wtG8zqN7j9dQE1ON+i22v+uqA+tw6Gak=";
+            })
+          ];
+          buildInputs = [
+            (python3-mimalloc.withPackages(ps: [ ps.numpy ps.scipy ps.jsonschema ps.lmdb ps.platformdirs nac3artiq-instrumented ]))
+            pkgs.llvmPackages_14.llvm.out
+          ];
           phases = [ "buildPhase" "installPhase" ];
-          # TODO: get more representative code.
-          buildPhase = "python $src/nac3artiq/demo/demo.py";
+          buildPhase =
+            ''
+            srcs=($srcs)
+            sipyco=''${srcs[0]}
+            artiq=''${srcs[1]}
+            export PYTHONPATH=$sipyco:$artiq
+            python -m artiq.frontend.artiq_ddb_template $artiq/artiq/examples/nac3devices/nac3devices.json > device_db.py
+            cp $artiq/artiq/examples/nac3devices/nac3devices.py .
+            python -m artiq.frontend.artiq_compile nac3devices.py
+            '';
           installPhase =
             ''
             mkdir $out
             llvm-profdata merge -o $out/llvm.profdata /build/llvm/build/profiles/*
             '';
         };
-        llvm-nac3-pgo = pkgs.callPackage "${self}/llvm" {
-          stdenv = pkgs.llvmPackages_13.stdenv;
+        llvm-nac3-pgo = pkgs.callPackage ./nix/llvm {
+          stdenv = pkgs.llvmPackages_14.stdenv;
           extraCmakeFlags = [ "-DLLVM_PROFDATA_FILE=${nac3artiq-profile}/llvm.profdata" ];
         };
         nac3artiq-pgo = pkgs.python3Packages.toPythonModule (
           pkgs.rustPlatform.buildRustPackage {
             name = "nac3artiq-pgo";
             src = self;
-            cargoLock = { lockFile = ./Cargo.lock; };
-            nativeBuildInputs = [ pkgs.python3 pkgs.llvmPackages_13.clang-unwrapped llvm-nac3-pgo ];
+            inherit (nac3artiq) cargoLock;
+            nativeBuildInputs = [ pkgs.python3 packages.x86_64-linux.llvm-tools-irrt llvm-nac3-pgo ];
             buildInputs = [ pkgs.python3 llvm-nac3-pgo ];
             cargoBuildFlags = [ "--package" "nac3artiq" ];
             cargoTestFlags = [ "--package" "nac3ast" "--package" "nac3parser" "--package" "nac3core" "--package" "nac3artiq" ];
@@ -149,91 +161,52 @@
         );
       };
 
-      packages.x86_64-w64-mingw32 = rec {
-        llvm-nac3 = pkgs-mingw.callPackage "${self}/llvm" { inherit (pkgs) llvmPackages_13; };
-        nac3artiq = pkgs-mingw.python3Packages.toPythonModule (
-          pkgs-mingw.rustPlatform.buildRustPackage {
-            name = "nac3artiq";
-            src = self;
-            cargoLock = { lockFile = ./Cargo.lock; };
-            nativeBuildInputs = [ pkgs.llvmPackages_13.clang-unwrapped pkgs.llvmPackages_13.llvm pkgs.zip ];
-            buildInputs = [ pkgs-mingw.zlib ];
-            configurePhase =
-              ''
-              # Link libstdc++ statically. As usual with cargo, this is an adventure.
-              cp --no-preserve=mode,ownership -R $CARGO_HOME/cargo-vendor-dir/llvm-sys-130.0.3/ llvm-sys-130.0.3
-              substituteInPlace llvm-sys-130.0.3/build.rs --replace "cargo:rustc-link-lib=dylib=" "cargo:rustc-link-lib=static="
-              substituteInPlace llvm-sys-130.0.3/build.rs --replace "fn main() {" "fn main() { println!(\"cargo:rustc-link-search=native=${pkgs-mingw.stdenv.cc.cc}/x86_64-w64-mingw32/lib\");"
-              chmod 755 $CARGO_HOME/cargo-vendor-dir
-              rm $CARGO_HOME/cargo-vendor-dir/llvm-sys-130.0.3
-              mv llvm-sys-130.0.3 $CARGO_HOME/cargo-vendor-dir/llvm-sys-130.0.3
+      packages.x86_64-w64-mingw32 = import ./nix/windows { inherit pkgs; };
 
-              export PYO3_CONFIG_FILE=${pyo3-mingw-config}
-
-              mkdir llvm-cfg
-              cat << EOF > llvm-cfg/llvm-config
-              #!${pkgs.bash}/bin/bash
-              set -e
-              # Gross hack to work around llvm-config asking for the wrong system libraries.
-              exec ${llvm-nac3.dev}/bin/llvm-config-native \$@ | ${pkgs.gnused}/bin/sed s/-lrt\ -ldl\ -lpthread\ -lm//
-              EOF
-              chmod +x llvm-cfg/llvm-config
-              export PATH=`pwd`/llvm-cfg:$PATH
-
-              export CARGO_TARGET_X86_64_PC_WINDOWS_GNU_RUSTFLAGS="-C link-arg=-lz -C link-arg=-luuid -C link-arg=-lole32 -C link-arg=-lmcfgthread"
-              '';
-            cargoBuildFlags = [ "--package" "nac3artiq" ];
-            doCheck = false;
-            installPhase =
-              ''
-              mkdir -p $out $out/nix-support
-              ln -s target/x86_64-pc-windows-gnu/release/nac3artiq.dll nac3artiq.pyd
-              zip $out/nac3artiq.zip nac3artiq.pyd
-              echo file binary-dist $out/nac3artiq.zip >> $out/nix-support/hydra-build-products
-              '';
-            dontFixup = true;
-            meta.platforms = ["x86_64-windows"];
-          }
-        );
-      };
-
-      devShell.x86_64-linux = pkgs.mkShell {
+      devShells.x86_64-linux.default = pkgs.mkShell {
         name = "nac3-dev-shell";
         buildInputs = with pkgs; [
           # build dependencies
           packages.x86_64-linux.llvm-nac3
-          llvmPackages_13.clang-unwrapped  # IRRT
+          (pkgs.wrapClangMulti llvmPackages_14.clang) llvmPackages_14.llvm.out  # for running nac3standalone demos
+          packages.x86_64-linux.llvm-tools-irrt
           cargo
           rustc
           # runtime dependencies
-          lld_13
-          (packages.x86_64-linux.python3-mimalloc.withPackages(ps: [ ps.numpy ]))
+          lld_14                           # for running kernels on the host
+          (packages.x86_64-linux.python3-mimalloc.withPackages(ps: [ ps.numpy ps.scipy ]))
           # development tools
           cargo-insta
           clippy
+          pre-commit
           rustfmt
         ];
+        shellHook =
+          ''
+          export DEMO_LINALG_STUB=${packages.x86_64-linux.demo-linalg-stub}/lib/liblinalg.a
+          export DEMO_LINALG_STUB32=${packages.x86_64-linux.demo-linalg-stub32}/lib/liblinalg.a
+          '';
+      };
+      devShells.x86_64-linux.msys2 = pkgs.mkShell {
+        name = "nac3-dev-shell-msys2";
+        buildInputs = with pkgs; [
+          curl
+          pacman
+          fakeroot
+          packages.x86_64-w64-mingw32.wine-msys2
+        ];
       };
 
       hydraJobs = {
-        inherit (packages.x86_64-linux) llvm-nac3 nac3artiq;
-        llvm-nac3-mingw = packages.x86_64-w64-mingw32.llvm-nac3;
-        nac3artiq-mingw = packages.x86_64-w64-mingw32.nac3artiq;
-        mcfgthreads = pkgs-mingw.stdenvNoCC.mkDerivation {
-          name = "mcfgthreads-hydra";
-          phases = [ "installPhase" ];
-          installPhase =
-            ''
-            mkdir -p $out $out/nix-support
-            ln -s ${pkgs-mingw.windows.mcfgthreads}/bin/mcfgthread-12.dll $out/
-            echo file binary-dist $out/mcfgthread-12.dll >> $out/nix-support/hydra-build-products
-            '';
-        };
+        inherit (packages.x86_64-linux) llvm-nac3 nac3artiq nac3artiq-pgo;
+        llvm-nac3-msys2 = packages.x86_64-w64-mingw32.llvm-nac3;
+        nac3artiq-msys2 = packages.x86_64-w64-mingw32.nac3artiq;
+        nac3artiq-msys2-pkg = packages.x86_64-w64-mingw32.nac3artiq-pkg;
       };
   };
 
   nixConfig = {
-    binaryCachePublicKeys = ["nixbld.m-labs.hk-1:5aSRVA5b320xbNvu30tqxVPXpld73bhtOeH6uAjRyHc="];
-    binaryCaches = ["https://nixbld.m-labs.hk" "https://cache.nixos.org"];
+    extra-trusted-public-keys = "nixbld.m-labs.hk-1:5aSRVA5b320xbNvu30tqxVPXpld73bhtOeH6uAjRyHc=";
+    extra-substituters = "https://nixbld.m-labs.hk";
   };
 }

llvm/gnu-install-dirs.patch

@@ -1,381 +0,0 @@
-diff --git a/CMakeLists.txt b/CMakeLists.txt
-index 135036f509d2..265c36f8211b 100644
---- a/CMakeLists.txt
-+++ b/CMakeLists.txt
-@@ -270,15 +270,21 @@ if (CMAKE_BUILD_TYPE AND
-   message(FATAL_ERROR "Invalid value for CMAKE_BUILD_TYPE: ${CMAKE_BUILD_TYPE}")
- endif()
- 
-+include(GNUInstallDirs)
-+
- set(LLVM_LIBDIR_SUFFIX "" CACHE STRING "Define suffix of library directory name (32/64)" )
- 
--set(LLVM_TOOLS_INSTALL_DIR "bin" CACHE STRING "Path for binary subdirectory (defaults to 'bin')")
-+set(LLVM_TOOLS_INSTALL_DIR "${CMAKE_INSTALL_BINDIR}" CACHE STRING
-+    "Path for binary subdirectory (defaults to 'bin')")
- mark_as_advanced(LLVM_TOOLS_INSTALL_DIR)
- 
- set(LLVM_UTILS_INSTALL_DIR "${LLVM_TOOLS_INSTALL_DIR}" CACHE STRING
-     "Path to install LLVM utilities (enabled by LLVM_INSTALL_UTILS=ON) (defaults to LLVM_TOOLS_INSTALL_DIR)")
- mark_as_advanced(LLVM_UTILS_INSTALL_DIR)
- 
-+set(LLVM_INSTALL_CMAKE_DIR "${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX}/cmake/llvm" CACHE STRING
-+	"Path for CMake subdirectory (defaults to lib/cmake/llvm)" )
-+
- # They are used as destination of target generators.
- set(LLVM_RUNTIME_OUTPUT_INTDIR ${CMAKE_CURRENT_BINARY_DIR}/${CMAKE_CFG_INTDIR}/bin)
- set(LLVM_LIBRARY_OUTPUT_INTDIR ${CMAKE_CURRENT_BINARY_DIR}/${CMAKE_CFG_INTDIR}/lib${LLVM_LIBDIR_SUFFIX})
-@@ -581,9 +587,9 @@ option (LLVM_ENABLE_SPHINX "Use Sphinx to generate llvm documentation." OFF)
- option (LLVM_ENABLE_OCAMLDOC "Build OCaml bindings documentation." ON)
- option (LLVM_ENABLE_BINDINGS "Build bindings." ON)
- 
--set(LLVM_INSTALL_DOXYGEN_HTML_DIR "share/doc/llvm/doxygen-html"
-+set(LLVM_INSTALL_DOXYGEN_HTML_DIR "${CMAKE_INSTALL_DOCDIR}/${project}/doxygen-html"
-     CACHE STRING "Doxygen-generated HTML documentation install directory")
--set(LLVM_INSTALL_OCAMLDOC_HTML_DIR "share/doc/llvm/ocaml-html"
-+set(LLVM_INSTALL_OCAMLDOC_HTML_DIR "${CMAKE_INSTALL_DOCDIR}/${project}/ocaml-html"
-     CACHE STRING "OCamldoc-generated HTML documentation install directory")
- 
- option (LLVM_BUILD_EXTERNAL_COMPILER_RT
-@@ -1048,7 +1054,7 @@ endif()
- 
- if (NOT LLVM_INSTALL_TOOLCHAIN_ONLY)
-   install(DIRECTORY include/llvm include/llvm-c
--    DESTINATION include
-+    DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}
-     COMPONENT llvm-headers
-     FILES_MATCHING
-     PATTERN "*.def"
-@@ -1059,7 +1065,7 @@ if (NOT LLVM_INSTALL_TOOLCHAIN_ONLY)
-     )
- 
-   install(DIRECTORY ${LLVM_INCLUDE_DIR}/llvm ${LLVM_INCLUDE_DIR}/llvm-c
--    DESTINATION include
-+    DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}
-     COMPONENT llvm-headers
-     FILES_MATCHING
-     PATTERN "*.def"
-@@ -1073,13 +1079,13 @@ if (NOT LLVM_INSTALL_TOOLCHAIN_ONLY)
- 
-   if (LLVM_INSTALL_MODULEMAPS)
-     install(DIRECTORY include/llvm include/llvm-c
--            DESTINATION include
-+            DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}
-             COMPONENT llvm-headers
-             FILES_MATCHING
-             PATTERN "module.modulemap"
-             )
-     install(FILES include/llvm/module.install.modulemap
--            DESTINATION include/llvm
-+            DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/llvm
-             COMPONENT llvm-headers
-             RENAME "module.extern.modulemap"
-             )
-diff --git a/cmake/modules/AddLLVM.cmake b/cmake/modules/AddLLVM.cmake
-index 9c2b85374307..5531ceeb2eeb 100644
---- a/cmake/modules/AddLLVM.cmake
-+++ b/cmake/modules/AddLLVM.cmake
-@@ -818,9 +818,9 @@ macro(add_llvm_library name)
-       get_target_export_arg(${name} LLVM export_to_llvmexports ${umbrella})
-       install(TARGETS ${name}
-               ${export_to_llvmexports}
--              LIBRARY DESTINATION lib${LLVM_LIBDIR_SUFFIX} COMPONENT ${name}
--              ARCHIVE DESTINATION lib${LLVM_LIBDIR_SUFFIX} COMPONENT ${name}
--              RUNTIME DESTINATION bin COMPONENT ${name})
-+              LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX} COMPONENT ${name}
-+              ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX} COMPONENT ${name}
-+              RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR} COMPONENT ${name})
- 
-       if (NOT LLVM_ENABLE_IDE)
-         add_llvm_install_targets(install-${name}
-@@ -1036,7 +1036,7 @@ function(process_llvm_pass_plugins)
-           "set(LLVM_STATIC_EXTENSIONS ${LLVM_STATIC_EXTENSIONS})")
-       install(FILES
-           ${llvm_cmake_builddir}/LLVMConfigExtensions.cmake
--          DESTINATION ${LLVM_INSTALL_PACKAGE_DIR}
-+          DESTINATION ${LLVM_INSTALL_CMAKE_DIR}
-           COMPONENT cmake-exports)
- 
-       set(ExtensionDef "${LLVM_BINARY_DIR}/include/llvm/Support/Extension.def")
-@@ -1250,7 +1250,7 @@ macro(add_llvm_example name)
-   endif()
-   add_llvm_executable(${name} ${ARGN})
-   if( LLVM_BUILD_EXAMPLES )
--    install(TARGETS ${name} RUNTIME DESTINATION examples)
-+    install(TARGETS ${name} RUNTIME DESTINATION ${CMAKE_INSTALL_DOCDIR}/examples)
-   endif()
-   set_target_properties(${name} PROPERTIES FOLDER "Examples")
- endmacro(add_llvm_example name)
-@@ -1868,7 +1868,7 @@ function(llvm_install_library_symlink name dest type)
-   set(full_name ${CMAKE_${type}_LIBRARY_PREFIX}${name}${CMAKE_${type}_LIBRARY_SUFFIX})
-   set(full_dest ${CMAKE_${type}_LIBRARY_PREFIX}${dest}${CMAKE_${type}_LIBRARY_SUFFIX})
- 
--  set(output_dir lib${LLVM_LIBDIR_SUFFIX})
-+  set(output_dir ${CMAKE_INSTALL_FULL_LIBDIR}${LLVM_LIBDIR_SUFFIX})
-   if(WIN32 AND "${type}" STREQUAL "SHARED")
-     set(output_dir bin)
-   endif()
-@@ -1879,7 +1879,7 @@ function(llvm_install_library_symlink name dest type)
- 
- endfunction()
- 
--function(llvm_install_symlink name dest)
-+function(llvm_install_symlink name dest output_dir)
-   cmake_parse_arguments(ARG "ALWAYS_GENERATE" "COMPONENT" "" ${ARGN})
-   foreach(path ${CMAKE_MODULE_PATH})
-     if(EXISTS ${path}/LLVMInstallSymlink.cmake)
-@@ -1902,7 +1902,7 @@ function(llvm_install_symlink name dest)
-   set(full_dest ${dest}${CMAKE_EXECUTABLE_SUFFIX})
- 
-   install(SCRIPT ${INSTALL_SYMLINK}
--          CODE "install_symlink(${full_name} ${full_dest} ${LLVM_TOOLS_INSTALL_DIR})"
-+          CODE "install_symlink(${full_name} ${full_dest} ${output_dir})"
-           COMPONENT ${component})
- 
-   if (NOT LLVM_ENABLE_IDE AND NOT ARG_ALWAYS_GENERATE)
-@@ -1985,7 +1985,8 @@ function(add_llvm_tool_symlink link_name target)
-     endif()
- 
-     if ((TOOL_IS_TOOLCHAIN OR NOT LLVM_INSTALL_TOOLCHAIN_ONLY) AND LLVM_BUILD_TOOLS)
--      llvm_install_symlink(${link_name} ${target})
-+      GNUInstallDirs_get_absolute_install_dir(output_dir LLVM_TOOLS_INSTALL_DIR)
-+      llvm_install_symlink(${link_name} ${target} ${output_dir})
-     endif()
-   endif()
- endfunction()
-@@ -2114,9 +2115,9 @@ function(llvm_setup_rpath name)
-     # Since BUILD_SHARED_LIBS is only recommended for use by developers,
-     # hardcode the rpath to build/install lib dir first in this mode.
-     # FIXME: update this when there is better solution.
--    set(_install_rpath "${LLVM_LIBRARY_OUTPUT_INTDIR}" "${CMAKE_INSTALL_PREFIX}/lib${LLVM_LIBDIR_SUFFIX}" ${extra_libdir})
-+    set(_install_rpath "${LLVM_LIBRARY_OUTPUT_INTDIR}" "${CMAKE_INSTALL_PREFIX}/${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX}" ${extra_libdir})
-   elseif(UNIX)
--    set(_install_rpath "\$ORIGIN/../lib${LLVM_LIBDIR_SUFFIX}" ${extra_libdir})
-+    set(_install_rpath "\$ORIGIN/../${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX}" ${extra_libdir})
-     if(${CMAKE_SYSTEM_NAME} MATCHES "(FreeBSD|DragonFly)")
-       set_property(TARGET ${name} APPEND_STRING PROPERTY
-                    LINK_FLAGS " -Wl,-z,origin ")
-diff --git a/cmake/modules/AddOCaml.cmake b/cmake/modules/AddOCaml.cmake
-index 554046b20edf..4d1ad980641e 100644
---- a/cmake/modules/AddOCaml.cmake
-+++ b/cmake/modules/AddOCaml.cmake
-@@ -144,9 +144,9 @@ function(add_ocaml_library name)
-   endforeach()
- 
-   if( APPLE )
--    set(ocaml_rpath "@executable_path/../../../lib${LLVM_LIBDIR_SUFFIX}")
-+    set(ocaml_rpath "@executable_path/../../../${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX}")
-   elseif( UNIX )
--    set(ocaml_rpath "\\$ORIGIN/../../../lib${LLVM_LIBDIR_SUFFIX}")
-+    set(ocaml_rpath "\\$ORIGIN/../../../${CMAKE_INSTALL_LIBDIR}${LLVM_LIBDIR_SUFFIX}")
-   endif()
-   list(APPEND ocaml_flags "-ldopt" "-Wl,-rpath,${ocaml_rpath}")
- 
-diff --git a/cmake/modules/AddSphinxTarget.cmake b/cmake/modules/AddSphinxTarget.cmake
-index e80c3b5c1cac..482f6d715ef5 100644
---- a/cmake/modules/AddSphinxTarget.cmake
-+++ b/cmake/modules/AddSphinxTarget.cmake
-@@ -90,7 +90,7 @@ function (add_sphinx_target builder project)
-         endif()
-       elseif (builder STREQUAL html)
-         string(TOUPPER "${project}" project_upper)
--        set(${project_upper}_INSTALL_SPHINX_HTML_DIR "share/doc/${project}/html"
-+        set(${project_upper}_INSTALL_SPHINX_HTML_DIR "${CMAKE_INSTALL_DOCDIR}/${project}/html"
-             CACHE STRING "HTML documentation install directory for ${project}")
- 
-         # '/.' indicates: copy the contents of the directory directly into
-diff --git a/cmake/modules/CMakeLists.txt b/cmake/modules/CMakeLists.txt
-index 51b6a4fdc284..4adc2acfc074 100644
---- a/cmake/modules/CMakeLists.txt
-+++ b/cmake/modules/CMakeLists.txt
-@@ -1,6 +1,6 @@
- include(LLVMDistributionSupport)
- 
--set(LLVM_INSTALL_PACKAGE_DIR lib${LLVM_LIBDIR_SUFFIX}/cmake/llvm)
-+set(LLVM_INSTALL_PACKAGE_DIR ${LLVM_INSTALL_CMAKE_DIR} CACHE STRING "Path for CMake subdirectory (defaults to 'cmake/llvm')")
- set(llvm_cmake_builddir "${LLVM_BINARY_DIR}/${LLVM_INSTALL_PACKAGE_DIR}")
- 
- # First for users who use an installed LLVM, create the LLVMExports.cmake file.
-@@ -109,13 +109,13 @@ foreach(p ${_count})
-   set(LLVM_CONFIG_CODE "${LLVM_CONFIG_CODE}
- get_filename_component(LLVM_INSTALL_PREFIX \"\${LLVM_INSTALL_PREFIX}\" PATH)")
- endforeach(p)
--set(LLVM_CONFIG_INCLUDE_DIRS "\${LLVM_INSTALL_PREFIX}/include")
-+set(LLVM_CONFIG_INCLUDE_DIRS "\${LLVM_INSTALL_PREFIX}/${CMAKE_INSTALL_INCLUDEDIR}")
- set(LLVM_CONFIG_INCLUDE_DIR "${LLVM_CONFIG_INCLUDE_DIRS}")
- set(LLVM_CONFIG_MAIN_INCLUDE_DIR "${LLVM_CONFIG_INCLUDE_DIRS}")
--set(LLVM_CONFIG_LIBRARY_DIRS "\${LLVM_INSTALL_PREFIX}/lib\${LLVM_LIBDIR_SUFFIX}")
-+set(LLVM_CONFIG_LIBRARY_DIRS "\${LLVM_INSTALL_PREFIX}/${CMAKE_INSTALL_LIBDIR}\${LLVM_LIBDIR_SUFFIX}")
- set(LLVM_CONFIG_CMAKE_DIR "\${LLVM_INSTALL_PREFIX}/${LLVM_INSTALL_PACKAGE_DIR}")
- set(LLVM_CONFIG_BINARY_DIR "\${LLVM_INSTALL_PREFIX}")
--set(LLVM_CONFIG_TOOLS_BINARY_DIR "\${LLVM_INSTALL_PREFIX}/bin")
-+set(LLVM_CONFIG_TOOLS_BINARY_DIR "\${LLVM_INSTALL_PREFIX}/${CMAKE_INSTALL_BINDIR}")
- 
- # Generate a default location for lit
- if (LLVM_INSTALL_UTILS AND LLVM_BUILD_UTILS)
-diff --git a/cmake/modules/LLVMInstallSymlink.cmake b/cmake/modules/LLVMInstallSymlink.cmake
-index 3e6a2c9a2648..52e14d955c60 100644
---- a/cmake/modules/LLVMInstallSymlink.cmake
-+++ b/cmake/modules/LLVMInstallSymlink.cmake
-@@ -4,7 +4,7 @@
- 
- function(install_symlink name target outdir)
-   set(DESTDIR $ENV{DESTDIR})
--  set(bindir "${DESTDIR}${CMAKE_INSTALL_PREFIX}/${outdir}/")
-+  set(bindir "${DESTDIR}${outdir}/")
- 
-   message(STATUS "Creating ${name}")
- 
-diff --git a/docs/CMake.rst b/docs/CMake.rst
-index f1ac2c7d4934..c6e1469b5e13 100644
---- a/docs/CMake.rst
-+++ b/docs/CMake.rst
-@@ -202,7 +202,7 @@ CMake manual, or execute ``cmake --help-variable VARIABLE_NAME``.
- **LLVM_LIBDIR_SUFFIX**:STRING
-   Extra suffix to append to the directory where libraries are to be
-   installed. On a 64-bit architecture, one could use ``-DLLVM_LIBDIR_SUFFIX=64``
--  to install libraries to ``/usr/lib64``.
-+  to install libraries to ``/usr/lib64``. See also ``CMAKE_INSTALL_LIBDIR``.
- 
- Rarely-used CMake variables
- ---------------------------
-@@ -551,8 +551,8 @@ LLVM-specific variables
- 
- **LLVM_INSTALL_DOXYGEN_HTML_DIR**:STRING
-   The path to install Doxygen-generated HTML documentation to. This path can
--  either be absolute or relative to the CMAKE_INSTALL_PREFIX. Defaults to
--  `share/doc/llvm/doxygen-html`.
-+  either be absolute or relative to the ``CMAKE_INSTALL_PREFIX``. Defaults to
-+  `${CMAKE_INSTALL_DOCDIR}/${project}/doxygen-html`.
- 
- **LLVM_LINK_LLVM_DYLIB**:BOOL
-   If enabled, tools will be linked with the libLLVM shared library. Defaults
-@@ -792,9 +792,11 @@ the ``cmake`` command or by setting it directly in ``ccmake`` or ``cmake-gui``).
- 
- This file is available in two different locations.
- 
--* ``<INSTALL_PREFIX>/lib/cmake/llvm/LLVMConfig.cmake`` where
--  ``<INSTALL_PREFIX>`` is the install prefix of an installed version of LLVM.
--  On Linux typically this is ``/usr/lib/cmake/llvm/LLVMConfig.cmake``.
-+* ``<LLVM_INSTALL_PACKAGE_DIR>LLVMConfig.cmake`` where
-+  ``<LLVM_INSTALL_PACKAGE_DIR>`` is the location where LLVM CMake modules are
-+  installed as part of an installed version of LLVM. This is typically
-+  ``cmake/llvm/`` within the lib directory. On Linux, this is typically
-+  ``/usr/lib/cmake/llvm/LLVMConfig.cmake``.
- 
- * ``<LLVM_BUILD_ROOT>/lib/cmake/llvm/LLVMConfig.cmake`` where
-   ``<LLVM_BUILD_ROOT>`` is the root of the LLVM build tree. **Note: this is only
-diff --git a/examples/Bye/CMakeLists.txt b/examples/Bye/CMakeLists.txt
-index bb96edb4b4bf..678c22fb43c8 100644
---- a/examples/Bye/CMakeLists.txt
-+++ b/examples/Bye/CMakeLists.txt
-@@ -14,6 +14,6 @@ if (NOT WIN32)
-     BUILDTREE_ONLY
-    )
- 
--  install(TARGETS ${name} RUNTIME DESTINATION examples)
-+  install(TARGETS ${name} RUNTIME DESTINATION ${CMAKE_INSTALL_DOCDIR}/examples)
-   set_target_properties(${name} PROPERTIES FOLDER "Examples")
- endif()
-diff --git a/include/llvm/CMakeLists.txt b/include/llvm/CMakeLists.txt
-index b46319f24fc8..2feabd1954e4 100644
---- a/include/llvm/CMakeLists.txt
-+++ b/include/llvm/CMakeLists.txt
-@@ -5,5 +5,5 @@ add_subdirectory(Frontend)
- # If we're doing an out-of-tree build, copy a module map for generated
- # header files into the build area.
- if (NOT "${CMAKE_SOURCE_DIR}" STREQUAL "${CMAKE_BINARY_DIR}")
--  configure_file(module.modulemap.build module.modulemap COPYONLY)
-+  configure_file(module.modulemap.build ${LLVM_INCLUDE_DIR}/module.modulemap COPYONLY)
- endif (NOT "${CMAKE_SOURCE_DIR}" STREQUAL "${CMAKE_BINARY_DIR}")
-diff --git a/tools/llvm-config/BuildVariables.inc.in b/tools/llvm-config/BuildVariables.inc.in
-index ebe5b73a5c65..70c497be12f5 100644
---- a/tools/llvm-config/BuildVariables.inc.in
-+++ b/tools/llvm-config/BuildVariables.inc.in
-@@ -23,6 +23,10 @@
- #define LLVM_CXXFLAGS "@LLVM_CXXFLAGS@"
- #define LLVM_BUILDMODE "@LLVM_BUILDMODE@"
- #define LLVM_LIBDIR_SUFFIX "@LLVM_LIBDIR_SUFFIX@"
-+#define LLVM_INSTALL_BINDIR "@CMAKE_INSTALL_BINDIR@"
-+#define LLVM_INSTALL_LIBDIR "@CMAKE_INSTALL_LIBDIR@"
-+#define LLVM_INSTALL_INCLUDEDIR "@CMAKE_INSTALL_INCLUDEDIR@"
-+#define LLVM_INSTALL_CMAKEDIR "@LLVM_INSTALL_CMAKE_DIR@"
- #define LLVM_TARGETS_BUILT "@LLVM_TARGETS_BUILT@"
- #define LLVM_SYSTEM_LIBS "@LLVM_SYSTEM_LIBS@"
- #define LLVM_BUILD_SYSTEM "@LLVM_BUILD_SYSTEM@"
-diff --git a/tools/llvm-config/llvm-config.cpp b/tools/llvm-config/llvm-config.cpp
-index 1a2f04552d13..44fa7d3eec6b 100644
---- a/tools/llvm-config/llvm-config.cpp
-+++ b/tools/llvm-config/llvm-config.cpp
-@@ -357,12 +357,26 @@ int main(int argc, char **argv) {
-         ("-I" + ActiveIncludeDir + " " + "-I" + ActiveObjRoot + "/include");
-   } else {
-     ActivePrefix = CurrentExecPrefix;
--    ActiveIncludeDir = ActivePrefix + "/include";
--    SmallString<256> path(StringRef(LLVM_TOOLS_INSTALL_DIR));
--    sys::fs::make_absolute(ActivePrefix, path);
--    ActiveBinDir = std::string(path.str());
--    ActiveLibDir = ActivePrefix + "/lib" + LLVM_LIBDIR_SUFFIX;
--    ActiveCMakeDir = ActiveLibDir + "/cmake/llvm";
-+    {
-+      SmallString<256> path(StringRef(LLVM_INSTALL_INCLUDEDIR));
-+      sys::fs::make_absolute(ActivePrefix, path);
-+      ActiveIncludeDir = std::string(path.str());
-+    }
-+    {
-+      SmallString<256> path(StringRef(LLVM_INSTALL_BINDIR));
-+      sys::fs::make_absolute(ActivePrefix, path);
-+      ActiveBinDir = std::string(path.str());
-+    }
-+    {
-+      SmallString<256> path(StringRef(LLVM_INSTALL_LIBDIR LLVM_LIBDIR_SUFFIX));
-+      sys::fs::make_absolute(ActivePrefix, path);
-+      ActiveLibDir = std::string(path.str());
-+    }
-+    {
-+      SmallString<256> path(StringRef(LLVM_INSTALL_CMAKEDIR));
-+      sys::fs::make_absolute(ActivePrefix, path);
-+      ActiveCMakeDir = std::string(path.str());
-+    }
-     ActiveIncludeOption = "-I" + ActiveIncludeDir;
-   }
- 
-diff --git a/tools/lto/CMakeLists.txt b/tools/lto/CMakeLists.txt
-index 0af29ad762c5..37b99b83e35c 100644
---- a/tools/lto/CMakeLists.txt
-+++ b/tools/lto/CMakeLists.txt
-@@ -33,7 +33,7 @@ add_llvm_library(${LTO_LIBRARY_NAME} ${LTO_LIBRARY_TYPE} INSTALL_WITH_TOOLCHAIN
-     ${SOURCES} DEPENDS intrinsics_gen)
- 
- install(FILES ${LLVM_MAIN_INCLUDE_DIR}/llvm-c/lto.h
--  DESTINATION include/llvm-c
-+  DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/llvm-c
-   COMPONENT LTO)
- 
- if (APPLE)
-diff --git a/tools/opt-viewer/CMakeLists.txt b/tools/opt-viewer/CMakeLists.txt
-index ead73ec13a8f..250362021f17 100644
---- a/tools/opt-viewer/CMakeLists.txt
-+++ b/tools/opt-viewer/CMakeLists.txt
-@@ -8,7 +8,7 @@ set (files
- 
- foreach (file ${files})
-   install(PROGRAMS ${file}
--    DESTINATION share/opt-viewer
-+    DESTINATION ${CMAKE_INSTALL_DATADIR}/opt-viewer
-     COMPONENT opt-viewer)
- endforeach (file)
- 
-diff --git a/tools/remarks-shlib/CMakeLists.txt b/tools/remarks-shlib/CMakeLists.txt
-index 865436247270..ce1daa62f6ab 100644
---- a/tools/remarks-shlib/CMakeLists.txt
-+++ b/tools/remarks-shlib/CMakeLists.txt
-@@ -19,7 +19,7 @@ if(LLVM_ENABLE_PIC)
-   endif()
-   
-   install(FILES ${LLVM_MAIN_INCLUDE_DIR}/llvm-c/Remarks.h
--    DESTINATION include/llvm-c
-+    DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/llvm-c
-     COMPONENT Remarks)
- 
-   if (APPLE)

nac3.svg

@@ -0,0 +1,56 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<svg
+   id="a"
+   width="128"
+   height="128"
+   viewBox="0 0 95.99999 95.99999"
+   version="1.1"
+   sodipodi:docname="nac3.svg"
+   inkscape:version="1.1.1 (3bf5ae0d25, 2021-09-20)"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:svg="http://www.w3.org/2000/svg">
+  <defs
+     id="defs11" />
+  <sodipodi:namedview
+     id="namedview9"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:document-units="mm"
+     showgrid="false"
+     units="px"
+     width="128px"
+     inkscape:zoom="5.9448568"
+     inkscape:cx="60.472441"
+     inkscape:cy="60.556547"
+     inkscape:window-width="2560"
+     inkscape:window-height="1371"
+     inkscape:window-x="0"
+     inkscape:window-y="32"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="a" />
+  <rect
+     x="40.072601"
+     y="-26.776209"
+     width="55.668747"
+     height="55.668747"
+     transform="matrix(0.71803815,0.69600374,-0.71803815,0.69600374,0,0)"
+     style="fill:#be211e;stroke:#000000;stroke-width:4.37375px;stroke-linecap:round;stroke-linejoin:round"
+     id="rect2" />
+  <line
+     x1="38.00692"
+     y1="63.457153"
+     x2="57.993061"
+     y2="63.457153"
+     style="fill:none;stroke:#000000;stroke-width:4.37269px;stroke-linecap:round;stroke-linejoin:round"
+     id="line4" />
+  <path
+     d="m 48.007301,57.843329 c -1.943097,0 -3.877522,-0.41727 -5.686157,-1.246007 -3.218257,-1.474616 -5.650382,-4.075418 -6.849639,-7.323671 -2.065624,-5.588921 -1.192751,-10.226647 2.575258,-13.827 0.611554,-0.584909 1.518048,-0.773041 2.323689,-0.488206 0.80673,0.286405 1.369495,0.998486 1.447563,1.827234 0.237469,2.549302 2.439719,5.917376 4.28414,6.55273 0.396859,0.13506 0.820953,-0.05859 1.097084,-0.35222 0.339254,-0.360754 0.451065,-0.961893 -1.013597,-3.191372 -2.089851,-3.181137 -4.638728,-8.754903 -0.262407,-15.069853 0.494457,-0.713491 1.384673,-1.068907 2.256469,-0.909156 0.871795,0.161332 1.583757,0.806404 1.752251,1.651189 0.716448,3.591862 2.962357,6.151755 5.199306,8.023138 1.935503,1.61861 4.344688,3.867387 5.435687,7.096643 2.283183,6.758017 -1.202511,14.114988 -8.060822,16.494025 -1.467083,0.509226 -2.98513,0.762536 -4.498836,0.762536 z M 39.358865,40.002192 c -0.304711,0.696206 -0.541636,2.080524 -0.56865,2.237454 -0.330316,1.918771 0.168305,3.803963 0.846157,5.539951 0.856828,2.19436 2.437543,3.942467 4.583411,4.925713 2.143691,0.981675 4.554131,1.097816 6.789992,0.322666 4.571485,-1.586549 6.977584,-6.532238 5.363036,-11.02597 v -5.27e-4 C 55.455481,39.447968 54.023463,38.162043 52.221335,36.65432 50.876945,35.529534 49.409662,33.987726 48.417983,32.135555 48.01343,31.37996 47.79547,30.34303 47.76669,29.413263 c -0.187481,0.669514 -0.212441,2.325923 -0.150396,2.93691 0.179209,1.764456 1.333476,3.644546 2.340611,5.171243 1.311568,1.988179 2.72058,6.037272 0.459681,8.367985 -1.54192,1.58953 -4.038511,2.052034 -5.839973,1.38492 -2.398314,-0.888147 -3.942744,-2.690627 -4.941118,-4.768029 -0.121194,-0.25217 -0.532464,-1.174187 -0.276619,-2.5041 z"
+     id="path6"
+     style="stroke-width:1.09317" />
+</svg>

nac3artiq/Cargo.toml

@@ -2,23 +2,20 @@
 name = "nac3artiq"
 version = "0.1.0"
 authors = ["M-Labs"]
-edition = "2018"
+edition = "2021"
 
 [lib]
 name = "nac3artiq"
 crate-type = ["cdylib"]
 
 [dependencies]
-pyo3 = { version = "0.14", features = ["extension-module"] }
-parking_lot = "0.11"
-tempfile = "3"
-nac3parser = { path = "../nac3parser" }
+itertools = "0.13"
+pyo3 = { version = "0.21", features = ["extension-module", "gil-refs"] }
+parking_lot = "0.12"
+tempfile = "3.13"
 nac3core = { path = "../nac3core" }
-
-[dependencies.inkwell]
-version = "0.1.0-beta.4"
-default-features = false
-features = ["llvm13-0", "target-x86", "target-arm", "target-riscv", "no-libffi-linking"]
+nac3ld = { path = "../nac3ld" }
 
 [features]
 init-llvm-profile = []
+no-escape-analysis = ["nac3core/no-escape-analysis"]

nac3artiq/demo/demo.py

@@ -1,10 +1,4 @@
 from min_artiq import *
-from numpy import int32, int64
-
-
-@extern
-def output_int(x: int32):
-    ...
 
 
 @nac3

nac3artiq/demo/embedding_map.py

@@ -5,25 +5,7 @@ class EmbeddingMap:
         self.string_map = {}
         self.string_reverse_map = {}
         self.function_map = {}
-
-        # preallocate exception names
-        self.preallocate_runtime_exception_names(["RuntimeError",
-                                          "RTIOUnderflow",
-                                          "RTIOOverflow",
-                                          "RTIODestinationUnreachable",
-                                          "DMAError",
-                                          "I2CError",
-                                          "CacheError",
-                                          "SPIError",
-                                          "0:ZeroDivisionError",
-                                          "0:IndexError"])
-
-    def preallocate_runtime_exception_names(self, names):
-        for i, name in enumerate(names):
-            if ":" not in name:
-                name = "0:artiq.coredevice.exceptions." + name
-            exn_id = self.store_str(name)
-            assert exn_id == i
+        self.attributes_writeback = []
 
     def store_function(self, key, fun):
         self.function_map[key] = fun

nac3artiq/demo/list_cmp.py

@@ -0,0 +1,24 @@
+from min_artiq import *
+from numpy import int32
+
+
+@nac3
+class EmptyList:
+    core: KernelInvariant[Core]
+
+    def __init__(self):
+        self.core = Core()
+
+    @rpc
+    def get_empty(self) -> list[int32]:
+        return []
+
+    @kernel
+    def run(self):
+        a: list[int32] = self.get_empty()
+        if a != []:
+            raise ValueError
+
+
+if __name__ == "__main__":
+    EmptyList().run()

nac3artiq/demo/min_artiq.py

@@ -10,7 +10,8 @@ from embedding_map import EmbeddingMap
 
 
 __all__ = [
-    "Kernel", "KernelInvariant", "virtual",
+    "Kernel", "KernelInvariant", "virtual", "ConstGeneric",
+    "Option", "Some", "none", "UnwrapNoneError",
     "round64", "floor64", "ceil64",
     "extern", "kernel", "portable", "nac3",
     "rpc", "ms", "us", "ns",
@@ -32,6 +33,45 @@ class KernelInvariant(Generic[T]):
 class virtual(Generic[T]):
     pass
 
+class Option(Generic[T]):
+    _nac3_option: T
+
+    def __init__(self, v: T):
+        self._nac3_option = v
+
+    def is_none(self):
+        return self._nac3_option is None
+    
+    def is_some(self):
+        return not self.is_none()
+    
+    def unwrap(self):
+        if self.is_none():
+            raise UnwrapNoneError()
+        return self._nac3_option
+
+    def __repr__(self) -> str:
+        if self.is_none():
+            return "none"
+        else:
+            return "Some({})".format(repr(self._nac3_option))
+    
+    def __str__(self) -> str:
+        if self.is_none():
+            return "none"
+        else:
+            return "Some({})".format(str(self._nac3_option))
+
+def Some(v: T) -> Option[T]:
+    return Option(v)
+
+none = Option(None)
+
+class _ConstGenericMarker:
+    pass
+
+def ConstGeneric(name, constraint):
+    return TypeVar(name, _ConstGenericMarker, constraint)
 
 def round64(x):
     return round(x)
@@ -46,7 +86,13 @@ def ceil64(x):
 import device_db
 core_arguments = device_db.device_db["core"]["arguments"]
 
-compiler = nac3artiq.NAC3(core_arguments["target"])
+artiq_builtins = {
+    "none": none,
+    "virtual": virtual,
+    "_ConstGenericMarker": _ConstGenericMarker,
+    "Option": Option,
+}
+compiler = nac3artiq.NAC3(core_arguments["target"], artiq_builtins)
 allow_registration = True
 # Delay NAC3 analysis until all referenced variables are supposed to exist on the CPython side.
 registered_functions = set()
@@ -66,10 +112,15 @@ def extern(function):
     register_function(function)
     return function
 
-def rpc(function):
-    """Decorates a function declaration defined by the core device runtime."""
-    register_function(function)
-    return function
+
+def rpc(arg=None, flags={}):
+    """Decorates a function or method to be executed on the host interpreter."""
+    if arg is None:
+        def inner_decorator(function):
+            return rpc(function, flags)
+        return inner_decorator
+    register_function(arg)
+    return arg
 
 def kernel(function_or_method):
     """Decorates a function or method to be executed on the core device."""
@@ -155,7 +206,7 @@ class Core:
         embedding = EmbeddingMap()
 
         if allow_registration:
-            compiler.analyze(registered_functions, registered_classes)
+            compiler.analyze(registered_functions, registered_classes, set())
             allow_registration = False
 
         if hasattr(method, "__self__"):
@@ -240,5 +291,10 @@ class KernelContextManager:
     def __exit__(self):
         pass
 
+@nac3
+class UnwrapNoneError(Exception):
+    """raised when unwrapping a none value"""
+    artiq_builtin = True
+
 parallel = KernelContextManager()
 sequential = KernelContextManager()

nac3artiq/demo/str_abi.py

@@ -0,0 +1,26 @@
+from min_artiq import *
+from numpy import ndarray, zeros as np_zeros
+
+
+@nac3
+class StrFail:
+    core: KernelInvariant[Core]
+
+    def __init__(self):
+        self.core = Core()
+
+    @kernel
+    def hello(self, arg: str):
+        pass
+
+    @kernel
+    def consume_ndarray(self, arg: ndarray[str, 1]):
+        pass
+
+    def run(self):
+        self.hello("world")
+        self.consume_ndarray(np_zeros([10], dtype=str))
+
+
+if __name__ == "__main__":
+    StrFail().run()

nac3artiq/demo/string_attribute_issue337.py

@@ -0,0 +1,24 @@
+from min_artiq import *
+from numpy import int32
+
+
+@nac3
+class Demo:
+    core: KernelInvariant[Core]
+    attr1: KernelInvariant[str]
+    attr2: KernelInvariant[int32]
+
+
+    def __init__(self):
+        self.core = Core()
+        self.attr2 = 32
+        self.attr1 = "SAMPLE"
+
+    @kernel
+    def run(self):
+        print_int32(self.attr2)
+        self.attr1
+
+
+if __name__ == "__main__":
+    Demo().run()

nac3artiq/demo/support_class_attr_issue102.py

@@ -0,0 +1,40 @@
+from min_artiq import *
+from numpy import int32
+
+
+@nac3
+class Demo:
+    attr1: KernelInvariant[int32] = 2
+    attr2: int32 = 4
+    attr3: Kernel[int32]
+
+    @kernel
+    def __init__(self):
+        self.attr3 = 8
+
+
+@nac3
+class NAC3Devices:
+    core: KernelInvariant[Core]
+    attr4: KernelInvariant[int32] = 16
+    
+    def __init__(self):
+        self.core = Core()
+
+    @kernel
+    def run(self):
+        Demo.attr1  # Supported
+        # Demo.attr2  # Field not accessible on Kernel
+        # Demo.attr3  # Only attributes can be accessed in this way
+        # Demo.attr1 = 2  # Attributes are immutable
+
+        self.attr4  # Attributes can be accessed within class
+
+        obj = Demo()
+        obj.attr1  # Attributes can be accessed by class objects
+
+        NAC3Devices.attr4  # Attributes accessible for classes without __init__
+
+
+if __name__ == "__main__":
+    NAC3Devices().run()

nac3artiq/src/timeline.rs

@@ -1,10 +1,23 @@
-use inkwell::{values::BasicValueEnum, AddressSpace, AtomicOrdering};
-use nac3core::codegen::CodeGenContext;
+use itertools::Either;
 
+use nac3core::{
+    codegen::CodeGenContext,
+    inkwell::{
+        values::{BasicValueEnum, CallSiteValue},
+        AddressSpace, AtomicOrdering,
+    },
+};
+
+/// Functions for manipulating the timeline.
 pub trait TimeFns {
-    fn emit_now_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>) -> BasicValueEnum<'ctx>;
-    fn emit_at_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>, t: BasicValueEnum<'ctx>);
-    fn emit_delay_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>, dt: BasicValueEnum<'ctx>);
+    /// Emits LLVM IR for `now_mu`.
+    fn emit_now_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>) -> BasicValueEnum<'ctx>;
+
+    /// Emits LLVM IR for `at_mu`.
+    fn emit_at_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, t: BasicValueEnum<'ctx>);
+
+    /// Emits LLVM IR for `delay_mu`.
+    fn emit_delay_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, dt: BasicValueEnum<'ctx>);
 }
 
 pub struct NowPinningTimeFns64 {}
@@ -12,141 +25,143 @@ pub struct NowPinningTimeFns64 {}
 // For FPGA design reasons, on VexRiscv with 64-bit data bus, the "now" CSR is split into two 32-bit
 // values that are each padded to 64-bits.
 impl TimeFns for NowPinningTimeFns64 {
-    fn emit_now_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>) -> BasicValueEnum<'ctx> {
+    fn emit_now_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>) -> BasicValueEnum<'ctx> {
         let i64_type = ctx.ctx.i64_type();
         let i32_type = ctx.ctx.i32_type();
         let now = ctx
             .module
             .get_global("now")
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
-        let now_hiptr =
-            ctx.builder.build_bitcast(now, i32_type.ptr_type(AddressSpace::Generic), "now_hiptr");
-        if let BasicValueEnum::PointerValue(now_hiptr) = now_hiptr {
-            let now_loptr = unsafe {
-                ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(2, false)], "now_gep")
-            };
-            if let (BasicValueEnum::IntValue(now_hi), BasicValueEnum::IntValue(now_lo)) = (
-                ctx.builder.build_load(now_hiptr, "now_hi"),
-                ctx.builder.build_load(now_loptr, "now_lo"),
-            ) {
-                let zext_hi = ctx.builder.build_int_z_extend(now_hi, i64_type, "now_zext_hi");
-                let shifted_hi = ctx.builder.build_left_shift(
-                    zext_hi,
-                    i64_type.const_int(32, false),
-                    "now_shifted_zext_hi",
-                );
-                let zext_lo = ctx.builder.build_int_z_extend(now_lo, i64_type, "now_zext_lo");
-                ctx.builder.build_or(shifted_hi, zext_lo, "now_or").into()
-            } else {
-                unreachable!();
-            }
-        } else {
-            unreachable!();
+        let now_hiptr = ctx
+            .builder
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
+
+        let now_loptr = unsafe {
+            ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(2, false)], "now.lo.addr")
         }
+        .unwrap();
+
+        let now_hi = ctx
+            .builder
+            .build_load(now_hiptr, "now.hi")
+            .map(BasicValueEnum::into_int_value)
+            .unwrap();
+        let now_lo = ctx
+            .builder
+            .build_load(now_loptr, "now.lo")
+            .map(BasicValueEnum::into_int_value)
+            .unwrap();
+
+        let zext_hi = ctx.builder.build_int_z_extend(now_hi, i64_type, "").unwrap();
+        let shifted_hi =
+            ctx.builder.build_left_shift(zext_hi, i64_type.const_int(32, false), "").unwrap();
+        let zext_lo = ctx.builder.build_int_z_extend(now_lo, i64_type, "").unwrap();
+        ctx.builder.build_or(shifted_hi, zext_lo, "now_mu").map(Into::into).unwrap()
     }
 
-    fn emit_at_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>, t: BasicValueEnum<'ctx>) {
+    fn emit_at_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, t: BasicValueEnum<'ctx>) {
         let i32_type = ctx.ctx.i32_type();
         let i64_type = ctx.ctx.i64_type();
+
         let i64_32 = i64_type.const_int(32, false);
-        if let BasicValueEnum::IntValue(time) = t {
-            let time_hi = ctx.builder.build_int_truncate(
-                ctx.builder.build_right_shift(time, i64_32, false, "now_lshr"),
+        let time = t.into_int_value();
+
+        let time_hi = ctx
+            .builder
+            .build_int_truncate(
+                ctx.builder.build_right_shift(time, i64_32, false, "time.hi").unwrap(),
                 i32_type,
-                "now_trunc",
-            );
-            let time_lo = ctx.builder.build_int_truncate(time, i32_type, "now_trunc");
-            let now = ctx
-                .module
-                .get_global("now")
-                .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
-            let now_hiptr = ctx.builder.build_bitcast(
-                now,
-                i32_type.ptr_type(AddressSpace::Generic),
-                "now_bitcast",
-            );
-            if let BasicValueEnum::PointerValue(now_hiptr) = now_hiptr {
-                let now_loptr = unsafe {
-                    ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(2, false)], "now_gep")
-                };
-                ctx.builder
-                    .build_store(now_hiptr, time_hi)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-                ctx.builder
-                    .build_store(now_loptr, time_lo)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-            } else {
-                unreachable!();
-            }
-        } else {
-            unreachable!();
+                "",
+            )
+            .unwrap();
+        let time_lo = ctx.builder.build_int_truncate(time, i32_type, "time.lo").unwrap();
+        let now = ctx
+            .module
+            .get_global("now")
+            .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
+        let now_hiptr = ctx
+            .builder
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
+
+        let now_loptr = unsafe {
+            ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(2, false)], "now.lo.addr")
         }
+        .unwrap();
+        ctx.builder
+            .build_store(now_hiptr, time_hi)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
+        ctx.builder
+            .build_store(now_loptr, time_lo)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
     }
 
-    fn emit_delay_mu<'ctx, 'a>(
-        &self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
-        dt: BasicValueEnum<'ctx>,
-    ) {
+    fn emit_delay_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, dt: BasicValueEnum<'ctx>) {
         let i64_type = ctx.ctx.i64_type();
         let i32_type = ctx.ctx.i32_type();
         let now = ctx
             .module
             .get_global("now")
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
-        let now_hiptr =
-            ctx.builder.build_bitcast(now, i32_type.ptr_type(AddressSpace::Generic), "now_hiptr");
-        if let BasicValueEnum::PointerValue(now_hiptr) = now_hiptr {
-            let now_loptr = unsafe {
-                ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(2, false)], "now_loptr")
-            };
-            if let (
-                BasicValueEnum::IntValue(now_hi),
-                BasicValueEnum::IntValue(now_lo),
-                BasicValueEnum::IntValue(dt),
-            ) = (
-                ctx.builder.build_load(now_hiptr, "now_hi"),
-                ctx.builder.build_load(now_loptr, "now_lo"),
-                dt,
-            ) {
-                let zext_hi = ctx.builder.build_int_z_extend(now_hi, i64_type, "now_zext_hi");
-                let shifted_hi = ctx.builder.build_left_shift(
-                    zext_hi,
-                    i64_type.const_int(32, false),
-                    "now_shifted_zext_hi",
-                );
-                let zext_lo = ctx.builder.build_int_z_extend(now_lo, i64_type, "now_zext_lo");
-                let now_val = ctx.builder.build_or(shifted_hi, zext_lo, "now_or");
+        let now_hiptr = ctx
+            .builder
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
 
-                let time = ctx.builder.build_int_add(now_val, dt, "now_add");
-                let time_hi = ctx.builder.build_int_truncate(
-                    ctx.builder.build_right_shift(
-                        time,
-                        i64_type.const_int(32, false),
-                        false,
-                        "now_lshr",
-                    ),
-                    i32_type,
-                    "now_trunc",
-                );
-                let time_lo = ctx.builder.build_int_truncate(time, i32_type, "now_trunc");
+        let now_loptr = unsafe {
+            ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(2, false)], "now.lo.addr")
+        }
+        .unwrap();
 
+        let now_hi = ctx
+            .builder
+            .build_load(now_hiptr, "now.hi")
+            .map(BasicValueEnum::into_int_value)
+            .unwrap();
+        let now_lo = ctx
+            .builder
+            .build_load(now_loptr, "now.lo")
+            .map(BasicValueEnum::into_int_value)
+            .unwrap();
+        let dt = dt.into_int_value();
+
+        let zext_hi = ctx.builder.build_int_z_extend(now_hi, i64_type, "").unwrap();
+        let shifted_hi =
+            ctx.builder.build_left_shift(zext_hi, i64_type.const_int(32, false), "").unwrap();
+        let zext_lo = ctx.builder.build_int_z_extend(now_lo, i64_type, "").unwrap();
+        let now_val = ctx.builder.build_or(shifted_hi, zext_lo, "now").unwrap();
+
+        let time = ctx.builder.build_int_add(now_val, dt, "time").unwrap();
+        let time_hi = ctx
+            .builder
+            .build_int_truncate(
                 ctx.builder
-                    .build_store(now_hiptr, time_hi)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-                ctx.builder
-                    .build_store(now_loptr, time_lo)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-            } else {
-                unreachable!();
-            }
-        } else {
-            unreachable!();
-        };
+                    .build_right_shift(time, i64_type.const_int(32, false), false, "")
+                    .unwrap(),
+                i32_type,
+                "time.hi",
+            )
+            .unwrap();
+        let time_lo = ctx.builder.build_int_truncate(time, i32_type, "time.lo").unwrap();
+
+        ctx.builder
+            .build_store(now_hiptr, time_hi)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
+        ctx.builder
+            .build_store(now_loptr, time_lo)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
     }
 }
 
@@ -155,68 +170,67 @@ pub static NOW_PINNING_TIME_FNS_64: NowPinningTimeFns64 = NowPinningTimeFns64 {}
 pub struct NowPinningTimeFns {}
 
 impl TimeFns for NowPinningTimeFns {
-    fn emit_now_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>) -> BasicValueEnum<'ctx> {
+    fn emit_now_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>) -> BasicValueEnum<'ctx> {
         let i64_type = ctx.ctx.i64_type();
         let now = ctx
             .module
             .get_global("now")
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
-        let now_raw = ctx.builder.build_load(now.as_pointer_value(), "now");
-        if let BasicValueEnum::IntValue(now_raw) = now_raw {
-            let i64_32 = i64_type.const_int(32, false);
-            let now_lo = ctx.builder.build_left_shift(now_raw, i64_32, "now_shl");
-            let now_hi = ctx.builder.build_right_shift(now_raw, i64_32, false, "now_lshr");
-            ctx.builder.build_or(now_lo, now_hi, "now_or").into()
-        } else {
-            unreachable!();
-        }
+        let now_raw = ctx
+            .builder
+            .build_load(now.as_pointer_value(), "now")
+            .map(BasicValueEnum::into_int_value)
+            .unwrap();
+
+        let i64_32 = i64_type.const_int(32, false);
+        let now_lo = ctx.builder.build_left_shift(now_raw, i64_32, "now.lo").unwrap();
+        let now_hi = ctx.builder.build_right_shift(now_raw, i64_32, false, "now.hi").unwrap();
+        ctx.builder.build_or(now_lo, now_hi, "now_mu").map(Into::into).unwrap()
     }
 
-    fn emit_at_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>, t: BasicValueEnum<'ctx>) {
+    fn emit_at_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, t: BasicValueEnum<'ctx>) {
         let i32_type = ctx.ctx.i32_type();
         let i64_type = ctx.ctx.i64_type();
         let i64_32 = i64_type.const_int(32, false);
-        if let BasicValueEnum::IntValue(time) = t {
-            let time_hi = ctx.builder.build_int_truncate(
-                ctx.builder.build_right_shift(time, i64_32, false, "now_lshr"),
+
+        let time = t.into_int_value();
+
+        let time_hi = ctx
+            .builder
+            .build_int_truncate(
+                ctx.builder.build_right_shift(time, i64_32, false, "").unwrap(),
                 i32_type,
-                "now_trunc",
-            );
-            let time_lo = ctx.builder.build_int_truncate(time, i32_type, "now_trunc");
-            let now = ctx
-                .module
-                .get_global("now")
-                .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
-            let now_hiptr = ctx.builder.build_bitcast(
-                now,
-                i32_type.ptr_type(AddressSpace::Generic),
-                "now_bitcast",
-            );
-            if let BasicValueEnum::PointerValue(now_hiptr) = now_hiptr {
-                let now_loptr = unsafe {
-                    ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(1, false)], "now_gep")
-                };
-                ctx.builder
-                    .build_store(now_hiptr, time_hi)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-                ctx.builder
-                    .build_store(now_loptr, time_lo)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-            } else {
-                unreachable!();
-            }
-        } else {
-            unreachable!();
+                "time.hi",
+            )
+            .unwrap();
+        let time_lo = ctx.builder.build_int_truncate(time, i32_type, "now_trunc").unwrap();
+        let now = ctx
+            .module
+            .get_global("now")
+            .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
+        let now_hiptr = ctx
+            .builder
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
+
+        let now_loptr = unsafe {
+            ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(1, false)], "now.lo.addr")
         }
+        .unwrap();
+        ctx.builder
+            .build_store(now_hiptr, time_hi)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
+        ctx.builder
+            .build_store(now_loptr, time_lo)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
     }
 
-    fn emit_delay_mu<'ctx, 'a>(
-        &self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
-        dt: BasicValueEnum<'ctx>,
-    ) {
+    fn emit_delay_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, dt: BasicValueEnum<'ctx>) {
         let i32_type = ctx.ctx.i32_type();
         let i64_type = ctx.ctx.i64_type();
         let i64_32 = i64_type.const_int(32, false);
@@ -224,41 +238,47 @@ impl TimeFns for NowPinningTimeFns {
             .module
             .get_global("now")
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
-        let now_raw = ctx.builder.build_load(now.as_pointer_value(), "now");
-        if let (BasicValueEnum::IntValue(now_raw), BasicValueEnum::IntValue(dt)) = (now_raw, dt) {
-            let now_lo = ctx.builder.build_left_shift(now_raw, i64_32, "now_shl");
-            let now_hi = ctx.builder.build_right_shift(now_raw, i64_32, false, "now_lshr");
-            let now_val = ctx.builder.build_or(now_lo, now_hi, "now_or");
-            let time = ctx.builder.build_int_add(now_val, dt, "now_add");
-            let time_hi = ctx.builder.build_int_truncate(
-                ctx.builder.build_right_shift(time, i64_32, false, "now_lshr"),
+        let now_raw = ctx
+            .builder
+            .build_load(now.as_pointer_value(), "")
+            .map(BasicValueEnum::into_int_value)
+            .unwrap();
+
+        let dt = dt.into_int_value();
+
+        let now_lo = ctx.builder.build_left_shift(now_raw, i64_32, "now.lo").unwrap();
+        let now_hi = ctx.builder.build_right_shift(now_raw, i64_32, false, "now.hi").unwrap();
+        let now_val = ctx.builder.build_or(now_lo, now_hi, "now_val").unwrap();
+        let time = ctx.builder.build_int_add(now_val, dt, "time").unwrap();
+        let time_hi = ctx
+            .builder
+            .build_int_truncate(
+                ctx.builder.build_right_shift(time, i64_32, false, "time.hi").unwrap(),
                 i32_type,
                 "now_trunc",
-            );
-            let time_lo = ctx.builder.build_int_truncate(time, i32_type, "now_trunc");
-            let now_hiptr = ctx.builder.build_bitcast(
-                now,
-                i32_type.ptr_type(AddressSpace::Generic),
-                "now_bitcast",
-            );
-            if let BasicValueEnum::PointerValue(now_hiptr) = now_hiptr {
-                let now_loptr = unsafe {
-                    ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(1, false)], "now_gep")
-                };
-                ctx.builder
-                    .build_store(now_hiptr, time_hi)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-                ctx.builder
-                    .build_store(now_loptr, time_lo)
-                    .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
-                    .unwrap();
-            } else {
-                unreachable!();
-            }
-        } else {
-            unreachable!();
+            )
+            .unwrap();
+        let time_lo = ctx.builder.build_int_truncate(time, i32_type, "time.lo").unwrap();
+        let now_hiptr = ctx
+            .builder
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
+
+        let now_loptr = unsafe {
+            ctx.builder.build_gep(now_hiptr, &[i32_type.const_int(1, false)], "now.lo.addr")
         }
+        .unwrap();
+        ctx.builder
+            .build_store(now_hiptr, time_hi)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
+        ctx.builder
+            .build_store(now_loptr, time_lo)
+            .unwrap()
+            .set_atomic_ordering(AtomicOrdering::SequentiallyConsistent)
+            .unwrap();
     }
 }
 
@@ -267,14 +287,18 @@ pub static NOW_PINNING_TIME_FNS: NowPinningTimeFns = NowPinningTimeFns {};
 pub struct ExternTimeFns {}
 
 impl TimeFns for ExternTimeFns {
-    fn emit_now_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>) -> BasicValueEnum<'ctx> {
+    fn emit_now_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>) -> BasicValueEnum<'ctx> {
         let now_mu = ctx.module.get_function("now_mu").unwrap_or_else(|| {
             ctx.module.add_function("now_mu", ctx.ctx.i64_type().fn_type(&[], false), None)
         });
-        ctx.builder.build_call(now_mu, &[], "now_mu").try_as_basic_value().left().unwrap()
+        ctx.builder
+            .build_call(now_mu, &[], "now_mu")
+            .map(CallSiteValue::try_as_basic_value)
+            .map(Either::unwrap_left)
+            .unwrap()
     }
 
-    fn emit_at_mu<'ctx, 'a>(&self, ctx: &mut CodeGenContext<'ctx, 'a>, t: BasicValueEnum<'ctx>) {
+    fn emit_at_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, t: BasicValueEnum<'ctx>) {
         let at_mu = ctx.module.get_function("at_mu").unwrap_or_else(|| {
             ctx.module.add_function(
                 "at_mu",
@@ -282,14 +306,10 @@ impl TimeFns for ExternTimeFns {
                 None,
             )
         });
-        ctx.builder.build_call(at_mu, &[t.into()], "at_mu");
+        ctx.builder.build_call(at_mu, &[t.into()], "at_mu").unwrap();
     }
 
-    fn emit_delay_mu<'ctx, 'a>(
-        &self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
-        dt: BasicValueEnum<'ctx>,
-    ) {
+    fn emit_delay_mu<'ctx>(&self, ctx: &mut CodeGenContext<'ctx, '_>, dt: BasicValueEnum<'ctx>) {
         let delay_mu = ctx.module.get_function("delay_mu").unwrap_or_else(|| {
             ctx.module.add_function(
                 "delay_mu",
@@ -297,7 +317,7 @@ impl TimeFns for ExternTimeFns {
                 None,
             )
         });
-        ctx.builder.build_call(delay_mu, &[dt.into()], "delay_mu");
+        ctx.builder.build_call(delay_mu, &[dt.into()], "delay_mu").unwrap();
     }
 }
 

nac3ast/Cargo.toml

@@ -2,7 +2,7 @@
 name = "nac3ast"
 version = "0.1.0"
 authors = ["RustPython Team", "M-Labs"]
-edition = "2018"
+edition = "2021"
 
 [features]
 default = ["constant-optimization", "fold"]
@@ -10,7 +10,6 @@ constant-optimization = ["fold"]
 fold = []
 
 [dependencies]
-lazy_static = "1.4.0"
-parking_lot = "0.11.1"
-string-interner = "0.13.0"
-fxhash = "0.2.1"
+parking_lot = "0.12"
+string-interner = "0.17"
+fxhash = "0.2"

nac3ast/src/constant.rs

@@ -28,12 +28,12 @@ impl From<bool> for Constant {
 }
 impl From<i32> for Constant {
     fn from(i: i32) -> Constant {
-        Self::Int(i as i128)
+        Self::Int(i128::from(i))
     }
 }
 impl From<i64> for Constant {
     fn from(i: i64) -> Constant {
-        Self::Int(i as i128)
+        Self::Int(i128::from(i))
     }
 }
 
@@ -50,6 +50,7 @@ pub enum ConversionFlag {
 }
 
 impl ConversionFlag {
+    #[must_use]
     pub fn try_from_byte(b: u8) -> Option<Self> {
         match b {
             b's' => Some(Self::Str),
@@ -69,6 +70,7 @@ pub struct ConstantOptimizer {
 #[cfg(feature = "constant-optimization")]
 impl ConstantOptimizer {
     #[inline]
+    #[must_use]
     pub fn new() -> Self {
         Self { _priv: () }
     }
@@ -85,33 +87,22 @@ impl<U> crate::fold::Fold<U> for ConstantOptimizer {
     fn fold_expr(&mut self, node: crate::Expr<U>) -> Result<crate::Expr<U>, Self::Error> {
         match node.node {
             crate::ExprKind::Tuple { elts, ctx } => {
-                let elts = elts
-                    .into_iter()
-                    .map(|x| self.fold_expr(x))
-                    .collect::<Result<Vec<_>, _>>()?;
-                let expr = if elts
-                    .iter()
-                    .all(|e| matches!(e.node, crate::ExprKind::Constant { .. }))
-                {
-                    let tuple = elts
-                        .into_iter()
-                        .map(|e| match e.node {
-                            crate::ExprKind::Constant { value, .. } => value,
-                            _ => unreachable!(),
-                        })
-                        .collect();
-                    crate::ExprKind::Constant {
-                        value: Constant::Tuple(tuple),
-                        kind: None,
-                    }
-                } else {
-                    crate::ExprKind::Tuple { elts, ctx }
-                };
-                Ok(crate::Expr {
-                    node: expr,
-                    custom: node.custom,
-                    location: node.location,
-                })
+                let elts =
+                    elts.into_iter().map(|x| self.fold_expr(x)).collect::<Result<Vec<_>, _>>()?;
+                let expr =
+                    if elts.iter().all(|e| matches!(e.node, crate::ExprKind::Constant { .. })) {
+                        let tuple = elts
+                            .into_iter()
+                            .map(|e| match e.node {
+                                crate::ExprKind::Constant { value, .. } => value,
+                                _ => unreachable!(),
+                            })
+                            .collect();
+                        crate::ExprKind::Constant { value: Constant::Tuple(tuple), kind: None }
+                    } else {
+                        crate::ExprKind::Tuple { elts, ctx }
+                    };
+                Ok(crate::Expr { node: expr, custom: node.custom, location: node.location })
             }
             _ => crate::fold::fold_expr(self, node),
         }
@@ -127,7 +118,7 @@ mod tests {
         use crate::fold::Fold;
         use crate::*;
 
-        let location = Location::new(0, 0, Default::default());
+        let location = Location::new(0, 0, FileName::default());
         let custom = ();
         let ast = Located {
             location,
@@ -138,18 +129,12 @@ mod tests {
                     Located {
                         location,
                         custom,
-                        node: ExprKind::Constant {
-                            value: 1.into(),
-                            kind: None,
-                        },
+                        node: ExprKind::Constant { value: 1.into(), kind: None },
                     },
                     Located {
                         location,
                         custom,
-                        node: ExprKind::Constant {
-                            value: 2.into(),
-                            kind: None,
-                        },
+                        node: ExprKind::Constant { value: 2.into(), kind: None },
                     },
                     Located {
                         location,
@@ -160,26 +145,17 @@ mod tests {
                                 Located {
                                     location,
                                     custom,
-                                    node: ExprKind::Constant {
-                                        value: 3.into(),
-                                        kind: None,
-                                    },
+                                    node: ExprKind::Constant { value: 3.into(), kind: None },
                                 },
                                 Located {
                                     location,
                                     custom,
-                                    node: ExprKind::Constant {
-                                        value: 4.into(),
-                                        kind: None,
-                                    },
+                                    node: ExprKind::Constant { value: 4.into(), kind: None },
                                 },
                                 Located {
                                     location,
                                     custom,
-                                    node: ExprKind::Constant {
-                                        value: 5.into(),
-                                        kind: None,
-                                    },
+                                    node: ExprKind::Constant { value: 5.into(), kind: None },
                                 },
                             ],
                         },
@@ -187,9 +163,7 @@ mod tests {
                 ],
             },
         };
-        let new_ast = ConstantOptimizer::new()
-            .fold_expr(ast)
-            .unwrap_or_else(|e| match e {});
+        let new_ast = ConstantOptimizer::new().fold_expr(ast).unwrap_or_else(|e| match e {});
         assert_eq!(
             new_ast,
             Located {
@@ -199,11 +173,7 @@ mod tests {
                     value: Constant::Tuple(vec![
                         1.into(),
                         2.into(),
-                        Constant::Tuple(vec![
-                            3.into(),
-                            4.into(),
-                            5.into(),
-                        ])
+                        Constant::Tuple(vec![3.into(), 4.into(), 5.into(),])
                     ]),
                     kind: None
                 },

nac3ast/src/fold_helpers.rs

@@ -64,11 +64,4 @@ macro_rules! simple_fold {
     };
 }
 
-simple_fold!(
-    usize,
-    String,
-    bool,
-    StrRef,
-    constant::Constant,
-    constant::ConversionFlag
-);
+simple_fold!(usize, String, bool, StrRef, constant::Constant, constant::ConversionFlag);

nac3ast/src/impls.rs

@@ -2,6 +2,7 @@ use crate::{Constant, ExprKind};
 
 impl<U> ExprKind<U> {
     /// Returns a short name for the node suitable for use in error messages.
+    #[must_use]
     pub fn name(&self) -> &'static str {
         match self {
             ExprKind::BoolOp { .. } | ExprKind::BinOp { .. } | ExprKind::UnaryOp { .. } => {
@@ -34,10 +35,7 @@ impl<U> ExprKind<U> {
             ExprKind::Starred { .. } => "starred",
             ExprKind::Slice { .. } => "slice",
             ExprKind::JoinedStr { values } => {
-                if values
-                    .iter()
-                    .any(|e| matches!(e.node, ExprKind::JoinedStr { .. }))
-                {
+                if values.iter().any(|e| matches!(e.node, ExprKind::JoinedStr { .. })) {
                     "f-string expression"
                 } else {
                     "literal"

nac3ast/src/lib.rs

@@ -1,5 +1,12 @@
-#[macro_use]
-extern crate lazy_static;
+#![deny(future_incompatible, let_underscore, nonstandard_style, clippy::all)]
+#![warn(clippy::pedantic)]
+#![allow(
+    clippy::missing_errors_doc,
+    clippy::missing_panics_doc,
+    clippy::module_name_repetitions,
+    clippy::too_many_lines,
+    clippy::wildcard_imports
+)]
 
 mod ast_gen;
 mod constant;
@@ -9,6 +16,6 @@ mod impls;
 mod location;
 
 pub use ast_gen::*;
-pub use location::{Location, FileName};
+pub use location::{FileName, Location};
 
 pub type Suite<U = ()> = Vec<Stmt<U>>;

nac3ast/src/location.rs

@@ -1,8 +1,9 @@
 //! Datatypes to support source location information.
 use crate::ast_gen::StrRef;
+use std::cmp::Ordering;
 use std::fmt;
 
-#[derive(Clone, Copy, Debug, PartialEq)]
+#[derive(Clone, Copy, Debug, Eq, PartialEq)]
 pub struct FileName(pub StrRef);
 impl Default for FileName {
     fn default() -> Self {
@@ -17,16 +18,38 @@ impl From<String> for FileName {
 }
 
 /// A location somewhere in the sourcecode.
-#[derive(Clone, Copy, Debug, Default, PartialEq)]
+#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)]
 pub struct Location {
     pub row: usize,
     pub column: usize,
-    pub file: FileName
+    pub file: FileName,
 }
 
 impl fmt::Display for Location {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
-        write!(f, "{}: line {} column {}", self.file.0, self.row, self.column)
+        write!(f, "{}:{}:{}", self.file.0, self.row, self.column)
+    }
+}
+
+impl Ord for Location {
+    fn cmp(&self, other: &Self) -> Ordering {
+        let file_cmp = self.file.0.to_string().cmp(&other.file.0.to_string());
+        if file_cmp != Ordering::Equal {
+            return file_cmp;
+        }
+
+        let row_cmp = self.row.cmp(&other.row);
+        if row_cmp != Ordering::Equal {
+            return row_cmp;
+        }
+
+        self.column.cmp(&other.column)
+    }
+}
+
+impl PartialOrd for Location {
+    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
+        Some(self.cmp(other))
     }
 }
 
@@ -53,23 +76,22 @@ impl Location {
                 )
             }
         }
-        Visualize {
-            loc: *self,
-            line,
-            desc,
-        }
+        Visualize { loc: *self, line, desc }
     }
 }
 
 impl Location {
+    #[must_use]
     pub fn new(row: usize, column: usize, file: FileName) -> Self {
         Location { row, column, file }
     }
 
+    #[must_use]
     pub fn row(&self) -> usize {
         self.row
     }
 
+    #[must_use]
     pub fn column(&self) -> usize {
         self.column
     }

nac3core/Cargo.toml

@@ -2,24 +2,33 @@
 name = "nac3core"
 version = "0.1.0"
 authors = ["M-Labs"]
-edition = "2018"
+edition = "2021"
+
+[features]
+default = ["derive"]
+derive = ["dep:nac3core_derive"]
+no-escape-analysis = []
 
 [dependencies]
-itertools = "0.10.1"
-crossbeam = "0.8.1"
-parking_lot = "0.11.1"
-rayon = "1.5.1"
+itertools = "0.13"
+crossbeam = "0.8"
+indexmap = "2.6"
+parking_lot = "0.12"
+rayon = "1.10"
+nac3core_derive = { path = "nac3core_derive", optional = true }
 nac3parser = { path = "../nac3parser" }
+strum = "0.26"
+strum_macros = "0.26"
 
 [dependencies.inkwell]
-version = "0.1.0-beta.4"
+version = "0.5"
 default-features = false
-features = ["llvm13-0", "target-x86", "target-arm", "target-riscv", "no-libffi-linking"]
+features = ["llvm14-0-prefer-dynamic", "target-x86", "target-arm", "target-riscv", "no-libffi-linking"]
 
 [dev-dependencies]
 test-case = "1.2.0"
-indoc = "1.0"
+indoc = "2.0"
 insta = "=1.11.0"
 
 [build-dependencies]
-regex = "1"
+regex = "1.10"

nac3core/build.rs

@@ -1,47 +1,83 @@
-use regex::Regex;
 use std::{
     env,
+    fs::File,
     io::Write,
     path::Path,
     process::{Command, Stdio},
 };
 
+use regex::Regex;
+
 fn main() {
-    const FILE: &str = "src/codegen/irrt/irrt.c";
-    println!("cargo:rerun-if-changed={}", FILE);
+    let out_dir = env::var("OUT_DIR").unwrap();
+    let out_dir = Path::new(&out_dir);
+    let irrt_dir = Path::new("irrt");
+
+    let irrt_cpp_path = irrt_dir.join("irrt.cpp");
 
     /*
      * HACK: Sadly, clang doesn't let us emit generic LLVM bitcode.
      * Compiling for WASM32 and filtering the output with regex is the closest we can get.
      */
-
-    const FLAG: &[&str] = &[
+    let mut flags: Vec<&str> = vec![
         "--target=wasm32",
-        FILE,
-        "-O3",
+        "-x",
+        "c++",
+        "-std=c++20",
+        "-fno-discard-value-names",
+        "-fno-exceptions",
+        "-fno-rtti",
         "-emit-llvm",
         "-S",
         "-Wall",
         "-Wextra",
-        "-Wno-implicit-function-declaration",
         "-o",
         "-",
+        "-I",
+        irrt_dir.to_str().unwrap(),
+        irrt_cpp_path.to_str().unwrap(),
     ];
-    let output = Command::new("clang")
-        .args(FLAG)
+
+    match env::var("PROFILE").as_deref() {
+        Ok("debug") => {
+            flags.push("-O0");
+            flags.push("-DIRRT_DEBUG_ASSERT");
+        }
+        Ok("release") => {
+            flags.push("-O3");
+        }
+        flavor => panic!("Unknown or missing build flavor {flavor:?}"),
+    }
+
+    // Tell Cargo to rerun if any file under `irrt_dir` (recursive) changes
+    println!("cargo:rerun-if-changed={}", irrt_dir.to_str().unwrap());
+
+    // Compile IRRT and capture the LLVM IR output
+    let output = Command::new("clang-irrt")
+        .args(flags)
         .output()
-        .map(|o| {
+        .inspect(|o| {
             assert!(o.status.success(), "{}", std::str::from_utf8(&o.stderr).unwrap());
-            o
         })
         .unwrap();
 
-    let output = std::str::from_utf8(&output.stdout).unwrap();
+    // https://github.com/rust-lang/regex/issues/244
+    let output = std::str::from_utf8(&output.stdout).unwrap().replace("\r\n", "\n");
     let mut filtered_output = String::with_capacity(output.len());
 
-    let regex_filter = regex::Regex::new(r"(?ms:^define.*?\}$)|(?m:^declare.*?$)").unwrap();
-    for f in regex_filter.captures_iter(output) {
-        assert!(f.len() == 1);
+    // Filter out irrelevant IR
+    //
+    // Regex:
+    // - `(?ms:^define.*?\}$)` captures LLVM `define` blocks
+    // - `(?m:^declare.*?$)` captures LLVM `declare` lines
+    // - `(?m:^%.+?=\s*type\s*\{.+?\}$)` captures LLVM `type` declarations
+    // - `(?m:^@.+?=.+$)` captures global constants
+    let regex_filter = Regex::new(
+        r"(?ms:^define.*?\}$)|(?m:^declare.*?$)|(?m:^%.+?=\s*type\s*\{.+?\}$)|(?m:^@.+?=.+$)",
+    )
+    .unwrap();
+    for f in regex_filter.captures_iter(&output) {
+        assert_eq!(f.len(), 1);
         filtered_output.push_str(&f[0]);
         filtered_output.push('\n');
     }
@@ -50,12 +86,24 @@ fn main() {
         .unwrap()
         .replace_all(&filtered_output, "");
 
-    let mut llvm_as = Command::new("llvm-as")
+    // For debugging
+    // Doing `DEBUG_DUMP_IRRT=1 cargo build -p nac3core` dumps the LLVM IR generated
+    const DEBUG_DUMP_IRRT: &str = "DEBUG_DUMP_IRRT";
+    println!("cargo:rerun-if-env-changed={DEBUG_DUMP_IRRT}");
+    if env::var(DEBUG_DUMP_IRRT).is_ok() {
+        let mut file = File::create(out_dir.join("irrt.ll")).unwrap();
+        file.write_all(output.as_bytes()).unwrap();
+
+        let mut file = File::create(out_dir.join("irrt-filtered.ll")).unwrap();
+        file.write_all(filtered_output.as_bytes()).unwrap();
+    }
+
+    let mut llvm_as = Command::new("llvm-as-irrt")
         .stdin(Stdio::piped())
         .arg("-o")
-        .arg(Path::new(&env::var("OUT_DIR").unwrap()).join("irrt.bc"))
+        .arg(out_dir.join("irrt.bc"))
         .spawn()
         .unwrap();
     llvm_as.stdin.as_mut().unwrap().write_all(filtered_output.as_bytes()).unwrap();
-    assert!(llvm_as.wait().unwrap().success())
+    assert!(llvm_as.wait().unwrap().success());
 }

nac3core/irrt/irrt.cpp

@@ -0,0 +1,15 @@
+#include "irrt/exception.hpp"
+#include "irrt/list.hpp"
+#include "irrt/math.hpp"
+#include "irrt/range.hpp"
+#include "irrt/slice.hpp"
+#include "irrt/string.hpp"
+#include "irrt/ndarray/basic.hpp"
+#include "irrt/ndarray/def.hpp"
+#include "irrt/ndarray/iter.hpp"
+#include "irrt/ndarray/indexing.hpp"
+#include "irrt/ndarray/array.hpp"
+#include "irrt/ndarray/reshape.hpp"
+#include "irrt/ndarray/broadcast.hpp"
+#include "irrt/ndarray/transpose.hpp"
+#include "irrt/ndarray/matmul.hpp"

nac3core/irrt/irrt/cslice.hpp

@@ -0,0 +1,9 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+template<typename SizeT>
+struct CSlice {
+    void* base;
+    SizeT len;
+};

nac3core/irrt/irrt/debug.hpp

@@ -0,0 +1,25 @@
+#pragma once
+
+// Set in nac3core/build.rs
+#ifdef IRRT_DEBUG_ASSERT
+#define IRRT_DEBUG_ASSERT_BOOL true
+#else
+#define IRRT_DEBUG_ASSERT_BOOL false
+#endif
+
+#define raise_debug_assert(SizeT, msg, param1, param2, param3) \
+    raise_exception(SizeT, EXN_ASSERTION_ERROR, "IRRT debug assert failed: " msg, param1, param2, param3)
+
+#define debug_assert_eq(SizeT, lhs, rhs)                                           \
+    if constexpr (IRRT_DEBUG_ASSERT_BOOL) {                                        \
+        if ((lhs) != (rhs)) {                                                      \
+            raise_debug_assert(SizeT, "LHS = {0}. RHS = {1}", lhs, rhs, NO_PARAM); \
+        }                                                                          \
+    }
+
+#define debug_assert(SizeT, expr)                                                  \
+    if constexpr (IRRT_DEBUG_ASSERT_BOOL) {                                        \
+        if (!(expr)) {                                                             \
+            raise_debug_assert(SizeT, "Got false.", NO_PARAM, NO_PARAM, NO_PARAM); \
+        }                                                                          \
+    }

nac3core/irrt/irrt/exception.hpp

@@ -0,0 +1,85 @@
+#pragma once
+
+#include "irrt/cslice.hpp"
+#include "irrt/int_types.hpp"
+
+/**
+ * @brief The int type of ARTIQ exception IDs.
+ */
+using ExceptionId = int32_t;
+
+/*
+ * Set of exceptions C++ IRRT can use.
+ * Must be synchronized with `setup_irrt_exceptions` in `nac3core/src/codegen/irrt/mod.rs`.
+ */
+extern "C" {
+ExceptionId EXN_INDEX_ERROR;
+ExceptionId EXN_VALUE_ERROR;
+ExceptionId EXN_ASSERTION_ERROR;
+ExceptionId EXN_TYPE_ERROR;
+}
+
+/**
+ * @brief Extern function to `__nac3_raise`
+ *
+ * The parameter `err` could be `Exception<int32_t>` or `Exception<int64_t>`. The caller
+ * must make sure to pass `Exception`s with the correct `SizeT` depending on the `size_t` of the runtime.
+ */
+extern "C" void __nac3_raise(void* err);
+
+namespace {
+/**
+ * @brief NAC3's Exception struct
+ */
+template<typename SizeT>
+struct Exception {
+    ExceptionId id;
+    CSlice<SizeT> filename;
+    int32_t line;
+    int32_t column;
+    CSlice<SizeT> function;
+    CSlice<SizeT> msg;
+    int64_t params[3];
+};
+
+constexpr int64_t NO_PARAM = 0;
+
+template<typename SizeT>
+void _raise_exception_helper(ExceptionId id,
+                             const char* filename,
+                             int32_t line,
+                             const char* function,
+                             const char* msg,
+                             int64_t param0,
+                             int64_t param1,
+                             int64_t param2) {
+    Exception<SizeT> e = {
+        .id = id,
+        .filename = {.base = reinterpret_cast<void*>(const_cast<char*>(filename)),
+                     .len = static_cast<SizeT>(__builtin_strlen(filename))},
+        .line = line,
+        .column = 0,
+        .function = {.base = reinterpret_cast<void*>(const_cast<char*>(function)),
+                     .len = static_cast<SizeT>(__builtin_strlen(function))},
+        .msg = {.base = reinterpret_cast<void*>(const_cast<char*>(msg)),
+                .len = static_cast<SizeT>(__builtin_strlen(msg))},
+    };
+    e.params[0] = param0;
+    e.params[1] = param1;
+    e.params[2] = param2;
+    __nac3_raise(reinterpret_cast<void*>(&e));
+    __builtin_unreachable();
+}
+}  // namespace
+
+/**
+ * @brief Raise an exception with location details (location in the IRRT source files).
+ * @param SizeT The runtime `size_t` type.
+ * @param id The ID of the exception to raise.
+ * @param msg A global constant C-string of the error message.
+ *
+ * `param0` to `param2` are optional format arguments of `msg`. They should be set to
+ * `NO_PARAM` to indicate they are unused.
+ */
+#define raise_exception(SizeT, id, msg, param0, param1, param2) \
+    _raise_exception_helper<SizeT>(id, __FILE__, __LINE__, __FUNCTION__, msg, param0, param1, param2)

nac3core/irrt/irrt/int_types.hpp

@@ -0,0 +1,25 @@
+#pragma once
+
+#if __STDC_VERSION__ >= 202000
+using int8_t = _BitInt(8);
+using uint8_t = unsigned _BitInt(8);
+using int32_t = _BitInt(32);
+using uint32_t = unsigned _BitInt(32);
+using int64_t = _BitInt(64);
+using uint64_t = unsigned _BitInt(64);
+#else
+
+#pragma clang diagnostic push
+#pragma clang diagnostic ignored "-Wdeprecated-type"
+using int8_t = _ExtInt(8);
+using uint8_t = unsigned _ExtInt(8);
+using int32_t = _ExtInt(32);
+using uint32_t = unsigned _ExtInt(32);
+using int64_t = _ExtInt(64);
+using uint64_t = unsigned _ExtInt(64);
+#pragma clang diagnostic pop
+
+#endif
+
+// The type of an index or a value describing the length of a range/slice is always `int32_t`.
+using SliceIndex = int32_t;

nac3core/irrt/irrt/list.hpp

@@ -0,0 +1,96 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+#include "irrt/math_util.hpp"
+#include "irrt/slice.hpp"
+
+namespace {
+/**
+ * @brief A list in NAC3.
+ *
+ * The `items` field is opaque. You must rely on external contexts to
+ * know how to interpret it.
+ */
+template<typename SizeT>
+struct List {
+    uint8_t* items;
+    SizeT len;
+};
+}  // namespace
+
+extern "C" {
+// Handle list assignment and dropping part of the list when
+// both dest_step and src_step are +1.
+// - All the index must *not* be out-of-bound or negative,
+// - The end index is *inclusive*,
+// - The length of src and dest slice size should already
+// be checked: if dest.step == 1 then len(src) <= len(dest) else len(src) == len(dest)
+SliceIndex __nac3_list_slice_assign_var_size(SliceIndex dest_start,
+                                             SliceIndex dest_end,
+                                             SliceIndex dest_step,
+                                             void* dest_arr,
+                                             SliceIndex dest_arr_len,
+                                             SliceIndex src_start,
+                                             SliceIndex src_end,
+                                             SliceIndex src_step,
+                                             void* src_arr,
+                                             SliceIndex src_arr_len,
+                                             const SliceIndex size) {
+    /* if dest_arr_len == 0, do nothing since we do not support extending list */
+    if (dest_arr_len == 0)
+        return dest_arr_len;
+    /* if both step is 1, memmove directly, handle the dropping of the list, and shrink size */
+    if (src_step == dest_step && dest_step == 1) {
+        const SliceIndex src_len = (src_end >= src_start) ? (src_end - src_start + 1) : 0;
+        const SliceIndex dest_len = (dest_end >= dest_start) ? (dest_end - dest_start + 1) : 0;
+        if (src_len > 0) {
+            __builtin_memmove(static_cast<uint8_t*>(dest_arr) + dest_start * size,
+                              static_cast<uint8_t*>(src_arr) + src_start * size, src_len * size);
+        }
+        if (dest_len > 0) {
+            /* dropping */
+            __builtin_memmove(static_cast<uint8_t*>(dest_arr) + (dest_start + src_len) * size,
+                              static_cast<uint8_t*>(dest_arr) + (dest_end + 1) * size,
+                              (dest_arr_len - dest_end - 1) * size);
+        }
+        /* shrink size */
+        return dest_arr_len - (dest_len - src_len);
+    }
+    /* if two range overlaps, need alloca */
+    uint8_t need_alloca = (dest_arr == src_arr)
+                          && !(max(dest_start, dest_end) < min(src_start, src_end)
+                               || max(src_start, src_end) < min(dest_start, dest_end));
+    if (need_alloca) {
+        void* tmp = __builtin_alloca(src_arr_len * size);
+        __builtin_memcpy(tmp, src_arr, src_arr_len * size);
+        src_arr = tmp;
+    }
+    SliceIndex src_ind = src_start;
+    SliceIndex dest_ind = dest_start;
+    for (; (src_step > 0) ? (src_ind <= src_end) : (src_ind >= src_end); src_ind += src_step, dest_ind += dest_step) {
+        /* for constant optimization */
+        if (size == 1) {
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind, static_cast<uint8_t*>(src_arr) + src_ind, 1);
+        } else if (size == 4) {
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind * 4,
+                             static_cast<uint8_t*>(src_arr) + src_ind * 4, 4);
+        } else if (size == 8) {
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind * 8,
+                             static_cast<uint8_t*>(src_arr) + src_ind * 8, 8);
+        } else {
+            /* memcpy for var size, cannot overlap after previous alloca */
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind * size,
+                             static_cast<uint8_t*>(src_arr) + src_ind * size, size);
+        }
+    }
+    /* only dest_step == 1 can we shrink the dest list. */
+    /* size should be ensured prior to calling this function */
+    if (dest_step == 1 && dest_end >= dest_start) {
+        __builtin_memmove(static_cast<uint8_t*>(dest_arr) + dest_ind * size,
+                          static_cast<uint8_t*>(dest_arr) + (dest_end + 1) * size,
+                          (dest_arr_len - dest_end - 1) * size);
+        return dest_arr_len - (dest_end - dest_ind) - 1;
+    }
+    return dest_arr_len;
+}
+}  // extern "C"

nac3core/irrt/irrt/math.hpp

@@ -0,0 +1,95 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+namespace {
+// adapted from GNU Scientific Library: https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
+// need to make sure `exp >= 0` before calling this function
+template<typename T>
+T __nac3_int_exp_impl(T base, T exp) {
+    T res = 1;
+    /* repeated squaring method */
+    do {
+        if (exp & 1) {
+            res *= base; /* for n odd */
+        }
+        exp >>= 1;
+        base *= base;
+    } while (exp);
+    return res;
+}
+}  // namespace
+
+#define DEF_nac3_int_exp_(T)                   \
+    T __nac3_int_exp_##T(T base, T exp) {      \
+        return __nac3_int_exp_impl(base, exp); \
+    }
+
+extern "C" {
+
+// Putting semicolons here to make clang-format not reformat this into
+// a stair shape.
+DEF_nac3_int_exp_(int32_t);
+DEF_nac3_int_exp_(int64_t);
+DEF_nac3_int_exp_(uint32_t);
+DEF_nac3_int_exp_(uint64_t);
+
+int32_t __nac3_isinf(double x) {
+    return __builtin_isinf(x);
+}
+
+int32_t __nac3_isnan(double x) {
+    return __builtin_isnan(x);
+}
+
+double tgamma(double arg);
+
+double __nac3_gamma(double z) {
+    // Handling for denormals
+    //     | x                 | Python gamma(x) | C tgamma(x) |
+    // --- | ----------------- | --------------- | ----------- |
+    // (1) | nan               | nan             | nan         |
+    // (2) | -inf              | -inf            | inf         |
+    // (3) | inf               | inf             | inf         |
+    // (4) | 0.0               | inf             | inf         |
+    // (5) | {-1.0, -2.0, ...} | inf             | nan         |
+
+    // (1)-(3)
+    if (__builtin_isinf(z) || __builtin_isnan(z)) {
+        return z;
+    }
+
+    double v = tgamma(z);
+
+    // (4)-(5)
+    return __builtin_isinf(v) || __builtin_isnan(v) ? __builtin_inf() : v;
+}
+
+double lgamma(double arg);
+
+double __nac3_gammaln(double x) {
+    // libm's handling of value overflows differs from scipy:
+    // - scipy: gammaln(-inf) -> -inf
+    // - libm : lgamma(-inf) -> inf
+
+    if (__builtin_isinf(x)) {
+        return x;
+    }
+
+    return lgamma(x);
+}
+
+double j0(double x);
+
+double __nac3_j0(double x) {
+    // libm's handling of value overflows differs from scipy:
+    // - scipy: j0(inf) -> nan
+    // - libm : j0(inf) -> 0.0
+
+    if (__builtin_isinf(x)) {
+        return __builtin_nan("");
+    }
+
+    return j0(x);
+}
+}  // namespace

nac3core/irrt/irrt/math_util.hpp

@@ -0,0 +1,13 @@
+#pragma once
+
+namespace {
+template<typename T>
+const T& max(const T& a, const T& b) {
+    return a > b ? a : b;
+}
+
+template<typename T>
+const T& min(const T& a, const T& b) {
+    return a > b ? b : a;
+}
+}  // namespace

nac3core/irrt/irrt/ndarray/array.hpp

@@ -0,0 +1,132 @@
+#pragma once
+
+#include "irrt/debug.hpp"
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/list.hpp"
+#include "irrt/ndarray/basic.hpp"
+#include "irrt/ndarray/def.hpp"
+
+namespace {
+namespace ndarray::array {
+/**
+ * @brief In the context of `np.array(<list>)`, deduce the ndarray's shape produced by `<list>` and raise
+ * an exception if there is anything wrong with `<shape>` (e.g., inconsistent dimensions `np.array([[1.0, 2.0],
+ * [3.0]])`)
+ *
+ * If this function finds no issues with `<list>`, the deduced shape is written to `shape`. The caller has the
+ * responsibility to allocate `[SizeT; ndims]` for `shape`. The caller must also initialize `shape` with `-1`s because
+ * of implementation details.
+ */
+template<typename SizeT>
+void set_and_validate_list_shape_helper(SizeT axis, List<SizeT>* list, SizeT ndims, SizeT* shape) {
+    if (shape[axis] == -1) {
+        // Dimension is unspecified. Set it.
+        shape[axis] = list->len;
+    } else {
+        // Dimension is specified. Check.
+        if (shape[axis] != list->len) {
+            // Mismatch, throw an error.
+            // NOTE: NumPy's error message is more complex and needs more PARAMS to display.
+            raise_exception(SizeT, EXN_VALUE_ERROR,
+                            "The requested array has an inhomogenous shape "
+                            "after {0} dimension(s).",
+                            axis, shape[axis], list->len);
+        }
+    }
+
+    if (axis + 1 == ndims) {
+        // `list` has type `list[ItemType]`
+        // Do nothing
+    } else {
+        // `list` has type `list[list[...]]`
+        List<SizeT>** lists = (List<SizeT>**)(list->items);
+        for (SizeT i = 0; i < list->len; i++) {
+            set_and_validate_list_shape_helper<SizeT>(axis + 1, lists[i], ndims, shape);
+        }
+    }
+}
+
+/**
+ * @brief See `set_and_validate_list_shape_helper`.
+ */
+template<typename SizeT>
+void set_and_validate_list_shape(List<SizeT>* list, SizeT ndims, SizeT* shape) {
+    for (SizeT axis = 0; axis < ndims; axis++) {
+        shape[axis] = -1;  // Sentinel to say this dimension is unspecified.
+    }
+    set_and_validate_list_shape_helper<SizeT>(0, list, ndims, shape);
+}
+
+/**
+ * @brief In the context of `np.array(<list>)`, copied the contents stored in `list` to `ndarray`.
+ *
+ * `list` is assumed to be "legal". (i.e., no inconsistent dimensions)
+ *
+ * # Notes on `ndarray`
+ * The caller is responsible for allocating space for `ndarray`.
+ * Here is what this function expects from `ndarray` when called:
+ *   - `ndarray->data` has to be allocated, contiguous, and may contain uninitialized values.
+ *   - `ndarray->itemsize` has to be initialized.
+ *   - `ndarray->ndims` has to be initialized.
+ *   - `ndarray->shape` has to be initialized.
+ *   - `ndarray->strides` is ignored, but note that `ndarray->data` is contiguous.
+ * When this function call ends:
+ *   - `ndarray->data` is written with contents from `<list>`.
+ */
+template<typename SizeT>
+void write_list_to_array_helper(SizeT axis, SizeT* index, List<SizeT>* list, NDArray<SizeT>* ndarray) {
+    debug_assert_eq(SizeT, list->len, ndarray->shape[axis]);
+    if (IRRT_DEBUG_ASSERT_BOOL) {
+        if (!ndarray::basic::is_c_contiguous(ndarray)) {
+            raise_debug_assert(SizeT, "ndarray is not C-contiguous", ndarray->strides[0], ndarray->strides[1],
+                               NO_PARAM);
+        }
+    }
+
+    if (axis + 1 == ndarray->ndims) {
+        // `list` has type `list[scalar]`
+        // `ndarray` is contiguous, so we can do this, and this is fast.
+        uint8_t* dst = static_cast<uint8_t*>(ndarray->data) + (ndarray->itemsize * (*index));
+        __builtin_memcpy(dst, list->items, ndarray->itemsize * list->len);
+        *index += list->len;
+    } else {
+        // `list` has type `list[list[...]]`
+        List<SizeT>** lists = (List<SizeT>**)(list->items);
+
+        for (SizeT i = 0; i < list->len; i++) {
+            write_list_to_array_helper<SizeT>(axis + 1, index, lists[i], ndarray);
+        }
+    }
+}
+
+/**
+ * @brief See `write_list_to_array_helper`.
+ */
+template<typename SizeT>
+void write_list_to_array(List<SizeT>* list, NDArray<SizeT>* ndarray) {
+    SizeT index = 0;
+    write_list_to_array_helper<SizeT>((SizeT)0, &index, list, ndarray);
+}
+}  // namespace ndarray::array
+}  // namespace
+
+extern "C" {
+using namespace ndarray::array;
+
+void __nac3_ndarray_array_set_and_validate_list_shape(List<int32_t>* list, int32_t ndims, int32_t* shape) {
+    set_and_validate_list_shape(list, ndims, shape);
+}
+
+void __nac3_ndarray_array_set_and_validate_list_shape64(List<int64_t>* list, int64_t ndims, int64_t* shape) {
+    set_and_validate_list_shape(list, ndims, shape);
+}
+
+void __nac3_ndarray_array_write_list_to_array(List<int32_t>* list, NDArray<int32_t>* ndarray) {
+    write_list_to_array(list, ndarray);
+}
+
+void __nac3_ndarray_array_write_list_to_array64(List<int64_t>* list, NDArray<int64_t>* ndarray) {
+    write_list_to_array(list, ndarray);
+}
+}

nac3core/irrt/irrt/ndarray/basic.hpp

@@ -0,0 +1,340 @@
+#pragma once
+
+#include "irrt/debug.hpp"
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/def.hpp"
+
+namespace {
+namespace ndarray::basic {
+/**
+ * @brief Assert that `shape` does not contain negative dimensions.
+ *
+ * @param ndims Number of dimensions in `shape`
+ * @param shape The shape to check on
+ */
+template<typename SizeT>
+void assert_shape_no_negative(SizeT ndims, const SizeT* shape) {
+    for (SizeT axis = 0; axis < ndims; axis++) {
+        if (shape[axis] < 0) {
+            raise_exception(SizeT, EXN_VALUE_ERROR,
+                            "negative dimensions are not allowed; axis {0} "
+                            "has dimension {1}",
+                            axis, shape[axis], NO_PARAM);
+        }
+    }
+}
+
+/**
+ * @brief Assert that two shapes are the same in the context of writing output to an ndarray.
+ */
+template<typename SizeT>
+void assert_output_shape_same(SizeT ndarray_ndims,
+                              const SizeT* ndarray_shape,
+                              SizeT output_ndims,
+                              const SizeT* output_shape) {
+    if (ndarray_ndims != output_ndims) {
+        // There is no corresponding NumPy error message like this.
+        raise_exception(SizeT, EXN_VALUE_ERROR, "Cannot write output of ndims {0} to an ndarray with ndims {1}",
+                        output_ndims, ndarray_ndims, NO_PARAM);
+    }
+
+    for (SizeT axis = 0; axis < ndarray_ndims; axis++) {
+        if (ndarray_shape[axis] != output_shape[axis]) {
+            // There is no corresponding NumPy error message like this.
+            raise_exception(SizeT, EXN_VALUE_ERROR,
+                            "Mismatched dimensions on axis {0}, output has "
+                            "dimension {1}, but destination ndarray has dimension {2}.",
+                            axis, output_shape[axis], ndarray_shape[axis]);
+        }
+    }
+}
+
+/**
+ * @brief Return the number of elements of an ndarray given its shape.
+ *
+ * @param ndims Number of dimensions in `shape`
+ * @param shape The shape of the ndarray
+ */
+template<typename SizeT>
+SizeT calc_size_from_shape(SizeT ndims, const SizeT* shape) {
+    SizeT size = 1;
+    for (SizeT axis = 0; axis < ndims; axis++)
+        size *= shape[axis];
+    return size;
+}
+
+/**
+ * @brief Compute the array indices of the `nth` (0-based) element of an ndarray given only its shape.
+ *
+ * @param ndims Number of elements in `shape` and `indices`
+ * @param shape The shape of the ndarray
+ * @param indices The returned indices indexing the ndarray with shape `shape`.
+ * @param nth The index of the element of interest.
+ */
+template<typename SizeT>
+void set_indices_by_nth(SizeT ndims, const SizeT* shape, SizeT* indices, SizeT nth) {
+    for (SizeT i = 0; i < ndims; i++) {
+        SizeT axis = ndims - i - 1;
+        SizeT dim = shape[axis];
+
+        indices[axis] = nth % dim;
+        nth /= dim;
+    }
+}
+
+/**
+ * @brief Return the number of elements of an `ndarray`
+ *
+ * This function corresponds to `<an_ndarray>.size`
+ */
+template<typename SizeT>
+SizeT size(const NDArray<SizeT>* ndarray) {
+    return calc_size_from_shape(ndarray->ndims, ndarray->shape);
+}
+
+/**
+ * @brief Return of the number of its content of an `ndarray`.
+ *
+ * This function corresponds to `<an_ndarray>.nbytes`.
+ */
+template<typename SizeT>
+SizeT nbytes(const NDArray<SizeT>* ndarray) {
+    return size(ndarray) * ndarray->itemsize;
+}
+
+/**
+ * @brief Get the `len()` of an ndarray, and asserts that `ndarray` is a sized object.
+ *
+ * This function corresponds to `<an_ndarray>.__len__`.
+ *
+ * @param dst_length The length.
+ */
+template<typename SizeT>
+SizeT len(const NDArray<SizeT>* ndarray) {
+    if (ndarray->ndims != 0) {
+        return ndarray->shape[0];
+    }
+
+    // numpy prohibits `__len__` on unsized objects
+    raise_exception(SizeT, EXN_TYPE_ERROR, "len() of unsized object", NO_PARAM, NO_PARAM, NO_PARAM);
+    __builtin_unreachable();
+}
+
+/**
+ * @brief Return a boolean indicating if `ndarray` is (C-)contiguous.
+ *
+ * You may want to see ndarray's rules for C-contiguity:
+ * https://github.com/numpy/numpy/blob/df256d0d2f3bc6833699529824781c58f9c6e697/numpy/core/src/multiarray/flagsobject.c#L95C1-L99C45
+ */
+template<typename SizeT>
+bool is_c_contiguous(const NDArray<SizeT>* ndarray) {
+    // References:
+    // - tinynumpy's implementation:
+    // https://github.com/wadetb/tinynumpy/blob/0d23d22e07062ffab2afa287374c7b366eebdda1/tinynumpy/tinynumpy.py#L102
+    // - ndarray's flags["C_CONTIGUOUS"]:
+    // https://numpy.org/doc/stable/reference/generated/numpy.ndarray.flags.html#numpy.ndarray.flags
+    // - ndarray's rules for C-contiguity:
+    // https://github.com/numpy/numpy/blob/df256d0d2f3bc6833699529824781c58f9c6e697/numpy/core/src/multiarray/flagsobject.c#L95C1-L99C45
+
+    // From
+    // https://github.com/numpy/numpy/blob/df256d0d2f3bc6833699529824781c58f9c6e697/numpy/core/src/multiarray/flagsobject.c#L95C1-L99C45:
+    //
+    // The traditional rule is that for an array to be flagged as C contiguous,
+    // the following must hold:
+    //
+    // strides[-1] == itemsize
+    // strides[i] == shape[i+1] * strides[i + 1]
+    // [...]
+    // According to these rules, a 0- or 1-dimensional array is either both
+    // C- and F-contiguous, or neither; and an array with 2+ dimensions
+    // can be C- or F- contiguous, or neither, but not both. Though there
+    // there are exceptions for arrays with zero or one item, in the first
+    // case the check is relaxed up to and including the first dimension
+    // with shape[i] == 0. In the second case `strides == itemsize` will
+    // can be true for all dimensions and both flags are set.
+
+    if (ndarray->ndims == 0) {
+        return true;
+    }
+
+    if (ndarray->strides[ndarray->ndims - 1] != ndarray->itemsize) {
+        return false;
+    }
+
+    for (SizeT i = 1; i < ndarray->ndims; i++) {
+        SizeT axis_i = ndarray->ndims - i - 1;
+        if (ndarray->strides[axis_i] != ndarray->shape[axis_i + 1] * ndarray->strides[axis_i + 1]) {
+            return false;
+        }
+    }
+
+    return true;
+}
+
+/**
+ * @brief Return the pointer to the element indexed by `indices` along the ndarray's axes.
+ *
+ * This function does no bound check.
+ */
+template<typename SizeT>
+void* get_pelement_by_indices(const NDArray<SizeT>* ndarray, const SizeT* indices) {
+    void* element = ndarray->data;
+    for (SizeT dim_i = 0; dim_i < ndarray->ndims; dim_i++)
+        element = static_cast<uint8_t*>(element) + indices[dim_i] * ndarray->strides[dim_i];
+    return element;
+}
+
+/**
+ * @brief Return the pointer to the nth (0-based) element of `ndarray` in flattened view.
+ *
+ * This function does no bound check.
+ */
+template<typename SizeT>
+void* get_nth_pelement(const NDArray<SizeT>* ndarray, SizeT nth) {
+    void* element = ndarray->data;
+    for (SizeT i = 0; i < ndarray->ndims; i++) {
+        SizeT axis = ndarray->ndims - i - 1;
+        SizeT dim = ndarray->shape[axis];
+        element = static_cast<uint8_t*>(element) + ndarray->strides[axis] * (nth % dim);
+        nth /= dim;
+    }
+    return element;
+}
+
+/**
+ * @brief Update the strides of an ndarray given an ndarray `shape` to be contiguous.
+ *
+ * You might want to read https://ajcr.net/stride-guide-part-1/.
+ */
+template<typename SizeT>
+void set_strides_by_shape(NDArray<SizeT>* ndarray) {
+    SizeT stride_product = 1;
+    for (SizeT i = 0; i < ndarray->ndims; i++) {
+        SizeT axis = ndarray->ndims - i - 1;
+        ndarray->strides[axis] = stride_product * ndarray->itemsize;
+        stride_product *= ndarray->shape[axis];
+    }
+}
+
+/**
+ * @brief Set an element in `ndarray`.
+ *
+ * @param pelement Pointer to the element in `ndarray` to be set.
+ * @param pvalue Pointer to the value `pelement` will be set to.
+ */
+template<typename SizeT>
+void set_pelement_value(NDArray<SizeT>* ndarray, void* pelement, const void* pvalue) {
+    __builtin_memcpy(pelement, pvalue, ndarray->itemsize);
+}
+
+/**
+ * @brief Copy data from one ndarray to another of the exact same size and itemsize.
+ *
+ * Both ndarrays will be viewed in their flatten views when copying the elements.
+ */
+template<typename SizeT>
+void copy_data(const NDArray<SizeT>* src_ndarray, NDArray<SizeT>* dst_ndarray) {
+    // TODO: Make this faster with memcpy when we see a contiguous segment.
+    // TODO: Handle overlapping.
+
+    debug_assert_eq(SizeT, src_ndarray->itemsize, dst_ndarray->itemsize);
+
+    for (SizeT i = 0; i < size(src_ndarray); i++) {
+        auto src_element = ndarray::basic::get_nth_pelement(src_ndarray, i);
+        auto dst_element = ndarray::basic::get_nth_pelement(dst_ndarray, i);
+        ndarray::basic::set_pelement_value(dst_ndarray, dst_element, src_element);
+    }
+}
+}  // namespace ndarray::basic
+}  // namespace
+
+extern "C" {
+using namespace ndarray::basic;
+
+void __nac3_ndarray_util_assert_shape_no_negative(int32_t ndims, int32_t* shape) {
+    assert_shape_no_negative(ndims, shape);
+}
+
+void __nac3_ndarray_util_assert_shape_no_negative64(int64_t ndims, int64_t* shape) {
+    assert_shape_no_negative(ndims, shape);
+}
+
+void __nac3_ndarray_util_assert_output_shape_same(int32_t ndarray_ndims,
+                                                  const int32_t* ndarray_shape,
+                                                  int32_t output_ndims,
+                                                  const int32_t* output_shape) {
+    assert_output_shape_same(ndarray_ndims, ndarray_shape, output_ndims, output_shape);
+}
+
+void __nac3_ndarray_util_assert_output_shape_same64(int64_t ndarray_ndims,
+                                                    const int64_t* ndarray_shape,
+                                                    int64_t output_ndims,
+                                                    const int64_t* output_shape) {
+    assert_output_shape_same(ndarray_ndims, ndarray_shape, output_ndims, output_shape);
+}
+
+uint32_t __nac3_ndarray_size(NDArray<int32_t>* ndarray) {
+    return size(ndarray);
+}
+
+uint64_t __nac3_ndarray_size64(NDArray<int64_t>* ndarray) {
+    return size(ndarray);
+}
+
+uint32_t __nac3_ndarray_nbytes(NDArray<int32_t>* ndarray) {
+    return nbytes(ndarray);
+}
+
+uint64_t __nac3_ndarray_nbytes64(NDArray<int64_t>* ndarray) {
+    return nbytes(ndarray);
+}
+
+int32_t __nac3_ndarray_len(NDArray<int32_t>* ndarray) {
+    return len(ndarray);
+}
+
+int64_t __nac3_ndarray_len64(NDArray<int64_t>* ndarray) {
+    return len(ndarray);
+}
+
+bool __nac3_ndarray_is_c_contiguous(NDArray<int32_t>* ndarray) {
+    return is_c_contiguous(ndarray);
+}
+
+bool __nac3_ndarray_is_c_contiguous64(NDArray<int64_t>* ndarray) {
+    return is_c_contiguous(ndarray);
+}
+
+void* __nac3_ndarray_get_nth_pelement(const NDArray<int32_t>* ndarray, int32_t nth) {
+    return get_nth_pelement(ndarray, nth);
+}
+
+void* __nac3_ndarray_get_nth_pelement64(const NDArray<int64_t>* ndarray, int64_t nth) {
+    return get_nth_pelement(ndarray, nth);
+}
+
+void* __nac3_ndarray_get_pelement_by_indices(const NDArray<int32_t>* ndarray, int32_t* indices) {
+    return get_pelement_by_indices(ndarray, indices);
+}
+
+void* __nac3_ndarray_get_pelement_by_indices64(const NDArray<int64_t>* ndarray, int64_t* indices) {
+    return get_pelement_by_indices(ndarray, indices);
+}
+
+void __nac3_ndarray_set_strides_by_shape(NDArray<int32_t>* ndarray) {
+    set_strides_by_shape(ndarray);
+}
+
+void __nac3_ndarray_set_strides_by_shape64(NDArray<int64_t>* ndarray) {
+    set_strides_by_shape(ndarray);
+}
+
+void __nac3_ndarray_copy_data(NDArray<int32_t>* src_ndarray, NDArray<int32_t>* dst_ndarray) {
+    copy_data(src_ndarray, dst_ndarray);
+}
+
+void __nac3_ndarray_copy_data64(NDArray<int64_t>* src_ndarray, NDArray<int64_t>* dst_ndarray) {
+    copy_data(src_ndarray, dst_ndarray);
+}
+}

nac3core/irrt/irrt/ndarray/broadcast.hpp

@@ -0,0 +1,165 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/def.hpp"
+#include "irrt/slice.hpp"
+
+namespace {
+template<typename SizeT>
+struct ShapeEntry {
+    SizeT ndims;
+    SizeT* shape;
+};
+}  // namespace
+
+namespace {
+namespace ndarray::broadcast {
+/**
+ * @brief Return true if `src_shape` can broadcast to `dst_shape`.
+ *
+ * See https://numpy.org/doc/stable/user/basics.broadcasting.html
+ */
+template<typename SizeT>
+bool can_broadcast_shape_to(SizeT target_ndims, const SizeT* target_shape, SizeT src_ndims, const SizeT* src_shape) {
+    if (src_ndims > target_ndims) {
+        return false;
+    }
+
+    for (SizeT i = 0; i < src_ndims; i++) {
+        SizeT target_dim = target_shape[target_ndims - i - 1];
+        SizeT src_dim = src_shape[src_ndims - i - 1];
+        if (!(src_dim == 1 || target_dim == src_dim)) {
+            return false;
+        }
+    }
+    return true;
+}
+
+/**
+ * @brief Performs `np.broadcast_shapes(<shapes>)`
+ *
+ * @param num_shapes Number of entries in `shapes`
+ * @param shapes The list of shape to do `np.broadcast_shapes` on.
+ * @param dst_ndims The length of `dst_shape`.
+ *   `dst_ndims` must be `max([shape.ndims for shape in shapes])`, but the caller has to calculate it/provide it.
+ *   for this function since they should already know in order to allocate `dst_shape` in the first place.
+ * @param dst_shape The resulting shape. Must be pre-allocated by the caller. This function calculate the result
+ *   of `np.broadcast_shapes` and write it here.
+ */
+template<typename SizeT>
+void broadcast_shapes(SizeT num_shapes, const ShapeEntry<SizeT>* shapes, SizeT dst_ndims, SizeT* dst_shape) {
+    for (SizeT dst_axis = 0; dst_axis < dst_ndims; dst_axis++) {
+        dst_shape[dst_axis] = 1;
+    }
+
+#ifdef IRRT_DEBUG_ASSERT
+    SizeT max_ndims_found = 0;
+#endif
+
+    for (SizeT i = 0; i < num_shapes; i++) {
+        ShapeEntry<SizeT> entry = shapes[i];
+
+        // Check pre-condition: `dst_ndims` must be `max([shape.ndims for shape in shapes])`
+        debug_assert(SizeT, entry.ndims <= dst_ndims);
+
+#ifdef IRRT_DEBUG_ASSERT
+        max_ndims_found = max(max_ndims_found, entry.ndims);
+#endif
+
+        for (SizeT j = 0; j < entry.ndims; j++) {
+            SizeT entry_axis = entry.ndims - j - 1;
+            SizeT dst_axis = dst_ndims - j - 1;
+
+            SizeT entry_dim = entry.shape[entry_axis];
+            SizeT dst_dim = dst_shape[dst_axis];
+
+            if (dst_dim == 1) {
+                dst_shape[dst_axis] = entry_dim;
+            } else if (entry_dim == 1 || entry_dim == dst_dim) {
+                // Do nothing
+            } else {
+                raise_exception(SizeT, EXN_VALUE_ERROR,
+                                "shape mismatch: objects cannot be broadcast "
+                                "to a single shape.",
+                                NO_PARAM, NO_PARAM, NO_PARAM);
+            }
+        }
+    }
+
+#ifdef IRRT_DEBUG_ASSERT
+    // Check pre-condition: `dst_ndims` must be `max([shape.ndims for shape in shapes])`
+    debug_assert_eq(SizeT, max_ndims_found, dst_ndims);
+#endif
+}
+
+/**
+ * @brief Perform `np.broadcast_to(<ndarray>, <target_shape>)` and appropriate assertions.
+ *
+ * This function attempts to broadcast `src_ndarray` to a new shape defined by `dst_ndarray.shape`,
+ * and return the result by modifying `dst_ndarray`.
+ *
+ * # Notes on `dst_ndarray`
+ * The caller is responsible for allocating space for the resulting ndarray.
+ * Here is what this function expects from `dst_ndarray` when called:
+ *   - `dst_ndarray->data` does not have to be initialized.
+ *   - `dst_ndarray->itemsize` does not have to be initialized.
+ *   - `dst_ndarray->ndims` must be initialized, determining the length of `dst_ndarray->shape`
+ *   - `dst_ndarray->shape` must be allocated, and must contain the desired target broadcast shape.
+ *   - `dst_ndarray->strides` must be allocated, through it can contain uninitialized values.
+ * When this function call ends:
+ *   - `dst_ndarray->data` is set to `src_ndarray->data` (`dst_ndarray` is just a view to `src_ndarray`)
+ *   - `dst_ndarray->itemsize` is set to `src_ndarray->itemsize`
+ *   - `dst_ndarray->ndims` is unchanged.
+ *   - `dst_ndarray->shape` is unchanged.
+ *   - `dst_ndarray->strides` is updated accordingly by how ndarray broadcast_to works.
+ */
+template<typename SizeT>
+void broadcast_to(const NDArray<SizeT>* src_ndarray, NDArray<SizeT>* dst_ndarray) {
+    if (!ndarray::broadcast::can_broadcast_shape_to(dst_ndarray->ndims, dst_ndarray->shape, src_ndarray->ndims,
+                                                    src_ndarray->shape)) {
+        raise_exception(SizeT, EXN_VALUE_ERROR, "operands could not be broadcast together", NO_PARAM, NO_PARAM,
+                        NO_PARAM);
+    }
+
+    dst_ndarray->data = src_ndarray->data;
+    dst_ndarray->itemsize = src_ndarray->itemsize;
+
+    for (SizeT i = 0; i < dst_ndarray->ndims; i++) {
+        SizeT src_axis = src_ndarray->ndims - i - 1;
+        SizeT dst_axis = dst_ndarray->ndims - i - 1;
+        if (src_axis < 0 || (src_ndarray->shape[src_axis] == 1 && dst_ndarray->shape[dst_axis] != 1)) {
+            // Freeze the steps in-place
+            dst_ndarray->strides[dst_axis] = 0;
+        } else {
+            dst_ndarray->strides[dst_axis] = src_ndarray->strides[src_axis];
+        }
+    }
+}
+}  // namespace ndarray::broadcast
+}  // namespace
+
+extern "C" {
+using namespace ndarray::broadcast;
+
+void __nac3_ndarray_broadcast_to(NDArray<int32_t>* src_ndarray, NDArray<int32_t>* dst_ndarray) {
+    broadcast_to(src_ndarray, dst_ndarray);
+}
+
+void __nac3_ndarray_broadcast_to64(NDArray<int64_t>* src_ndarray, NDArray<int64_t>* dst_ndarray) {
+    broadcast_to(src_ndarray, dst_ndarray);
+}
+
+void __nac3_ndarray_broadcast_shapes(int32_t num_shapes,
+                                     const ShapeEntry<int32_t>* shapes,
+                                     int32_t dst_ndims,
+                                     int32_t* dst_shape) {
+    broadcast_shapes(num_shapes, shapes, dst_ndims, dst_shape);
+}
+
+void __nac3_ndarray_broadcast_shapes64(int64_t num_shapes,
+                                       const ShapeEntry<int64_t>* shapes,
+                                       int64_t dst_ndims,
+                                       int64_t* dst_shape) {
+    broadcast_shapes(num_shapes, shapes, dst_ndims, dst_shape);
+}
+}

nac3core/irrt/irrt/ndarray/def.hpp

@@ -0,0 +1,51 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+namespace {
+/**
+ * @brief The NDArray object
+ *
+ * Official numpy implementation:
+ * https://github.com/numpy/numpy/blob/735a477f0bc2b5b84d0e72d92f224bde78d4e069/doc/source/reference/c-api/types-and-structures.rst#pyarrayinterface
+ *
+ * Note that this implementation is based on `PyArrayInterface` rather of `PyArrayObject`. The
+ * difference between `PyArrayInterface` and `PyArrayObject` (relevant to our implementation) is
+ * that `PyArrayInterface` *has* `itemsize` and uses `void*` for its `data`, whereas `PyArrayObject`
+ * does not require `itemsize` (probably using `strides[-1]` instead) and uses `char*` for its
+ * `data`. There are also minor differences in the struct layout.
+ */
+template<typename SizeT>
+struct NDArray {
+    /**
+     * @brief The number of bytes of a single element in `data`.
+     */
+    SizeT itemsize;
+
+    /**
+     * @brief The number of dimensions of this shape.
+     */
+    SizeT ndims;
+
+    /**
+     * @brief The NDArray shape, with length equal to `ndims`.
+     *
+     * Note that it may contain 0.
+     */
+    SizeT* shape;
+
+    /**
+     * @brief Array strides, with length equal to `ndims`
+     *
+     * The stride values are in units of bytes, not number of elements.
+     *
+     * Note that `strides` can have negative values or contain 0.
+     */
+    SizeT* strides;
+
+    /**
+     * @brief The underlying data this `ndarray` is pointing to.
+     */
+    void* data;
+};
+}  // namespace

nac3core/irrt/irrt/ndarray/indexing.hpp

@@ -0,0 +1,219 @@
+#pragma once
+
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/basic.hpp"
+#include "irrt/ndarray/def.hpp"
+#include "irrt/range.hpp"
+#include "irrt/slice.hpp"
+
+namespace {
+typedef uint8_t NDIndexType;
+
+/**
+ * @brief A single element index
+ *
+ * `data` points to a `int32_t`.
+ */
+const NDIndexType ND_INDEX_TYPE_SINGLE_ELEMENT = 0;
+
+/**
+ * @brief A slice index
+ *
+ * `data` points to a `Slice<int32_t>`.
+ */
+const NDIndexType ND_INDEX_TYPE_SLICE = 1;
+
+/**
+ * @brief `np.newaxis` / `None`
+ *
+ * `data` is unused.
+ */
+const NDIndexType ND_INDEX_TYPE_NEWAXIS = 2;
+
+/**
+ * @brief `Ellipsis` / `...`
+ *
+ * `data` is unused.
+ */
+const NDIndexType ND_INDEX_TYPE_ELLIPSIS = 3;
+
+/**
+ * @brief An index used in ndarray indexing
+ *
+ * That is:
+ * ```
+ * my_ndarray[::-1, 3, ..., np.newaxis]
+ *            ^^^^  ^  ^^^  ^^^^^^^^^^ each of these is represented by an NDIndex.
+ * ```
+ */
+struct NDIndex {
+    /**
+     * @brief Enum tag to specify the type of index.
+     *
+     * Please see the comment of each enum constant.
+     */
+    NDIndexType type;
+
+    /**
+     * @brief The accompanying data associated with `type`.
+     *
+     * Please see the comment of each enum constant.
+     */
+    uint8_t* data;
+};
+}  // namespace
+
+namespace {
+namespace ndarray::indexing {
+/**
+ * @brief Perform ndarray "basic indexing" (https://numpy.org/doc/stable/user/basics.indexing.html#basic-indexing)
+ *
+ * This function is very similar to performing `dst_ndarray = src_ndarray[indices]` in Python.
+ *
+ * This function also does proper assertions on `indices` to check for out of bounds access and more.
+ *
+ * # Notes on `dst_ndarray`
+ * The caller is responsible for allocating space for the resulting ndarray.
+ * Here is what this function expects from `dst_ndarray` when called:
+ *   - `dst_ndarray->data` does not have to be initialized.
+ *   - `dst_ndarray->itemsize` does not have to be initialized.
+ *   - `dst_ndarray->ndims` must be initialized, and it must be equal to the expected `ndims` of the `dst_ndarray` after
+ *       indexing `src_ndarray` with `indices`.
+ *   - `dst_ndarray->shape` must be allocated, through it can contain uninitialized values.
+ *   - `dst_ndarray->strides` must be allocated, through it can contain uninitialized values.
+ * When this function call ends:
+ *   - `dst_ndarray->data` is set to `src_ndarray->data`.
+ *   - `dst_ndarray->itemsize` is set to `src_ndarray->itemsize`.
+ *   - `dst_ndarray->ndims` is unchanged.
+ *   - `dst_ndarray->shape` is updated according to how `src_ndarray` is indexed.
+ *   - `dst_ndarray->strides` is updated accordingly by how ndarray indexing works.
+ *
+ * @param indices indices to index `src_ndarray`, ordered in the same way you would write them in Python.
+ * @param src_ndarray The NDArray to be indexed.
+ * @param dst_ndarray The resulting NDArray after indexing. Further details in the comments above,
+ */
+template<typename SizeT>
+void index(SizeT num_indices, const NDIndex* indices, const NDArray<SizeT>* src_ndarray, NDArray<SizeT>* dst_ndarray) {
+    // Validate `indices`.
+
+    // Expected value of `dst_ndarray->ndims`.
+    SizeT expected_dst_ndims = src_ndarray->ndims;
+    // To check for "too many indices for array: array is ?-dimensional, but ? were indexed"
+    SizeT num_indexed = 0;
+    // There may be ellipsis `...` in `indices`. There can only be 0 or 1 ellipsis.
+    SizeT num_ellipsis = 0;
+
+    for (SizeT i = 0; i < num_indices; i++) {
+        if (indices[i].type == ND_INDEX_TYPE_SINGLE_ELEMENT) {
+            expected_dst_ndims--;
+            num_indexed++;
+        } else if (indices[i].type == ND_INDEX_TYPE_SLICE) {
+            num_indexed++;
+        } else if (indices[i].type == ND_INDEX_TYPE_NEWAXIS) {
+            expected_dst_ndims++;
+        } else if (indices[i].type == ND_INDEX_TYPE_ELLIPSIS) {
+            num_ellipsis++;
+            if (num_ellipsis > 1) {
+                raise_exception(SizeT, EXN_INDEX_ERROR, "an index can only have a single ellipsis ('...')", NO_PARAM,
+                                NO_PARAM, NO_PARAM);
+            }
+        } else {
+            __builtin_unreachable();
+        }
+    }
+
+    debug_assert_eq(SizeT, expected_dst_ndims, dst_ndarray->ndims);
+
+    if (src_ndarray->ndims - num_indexed < 0) {
+        raise_exception(SizeT, EXN_INDEX_ERROR,
+                        "too many indices for array: array is {0}-dimensional, "
+                        "but {1} were indexed",
+                        src_ndarray->ndims, num_indices, NO_PARAM);
+    }
+
+    dst_ndarray->data = src_ndarray->data;
+    dst_ndarray->itemsize = src_ndarray->itemsize;
+
+    // Reference code:
+    // https://github.com/wadetb/tinynumpy/blob/0d23d22e07062ffab2afa287374c7b366eebdda1/tinynumpy/tinynumpy.py#L652
+    SizeT src_axis = 0;
+    SizeT dst_axis = 0;
+
+    for (int32_t i = 0; i < num_indices; i++) {
+        const NDIndex* index = &indices[i];
+        if (index->type == ND_INDEX_TYPE_SINGLE_ELEMENT) {
+            SizeT input = (SizeT) * ((int32_t*)index->data);
+
+            SizeT k = slice::resolve_index_in_length(src_ndarray->shape[src_axis], input);
+            if (k == -1) {
+                raise_exception(SizeT, EXN_INDEX_ERROR,
+                                "index {0} is out of bounds for axis {1} "
+                                "with size {2}",
+                                input, src_axis, src_ndarray->shape[src_axis]);
+            }
+
+            dst_ndarray->data = static_cast<uint8_t*>(dst_ndarray->data) + k * src_ndarray->strides[src_axis];
+
+            src_axis++;
+        } else if (index->type == ND_INDEX_TYPE_SLICE) {
+            Slice<int32_t>* slice = (Slice<int32_t>*)index->data;
+
+            Range<int32_t> range = slice->indices_checked<SizeT>(src_ndarray->shape[src_axis]);
+
+            dst_ndarray->data =
+                static_cast<uint8_t*>(dst_ndarray->data) + (SizeT)range.start * src_ndarray->strides[src_axis];
+            dst_ndarray->strides[dst_axis] = ((SizeT)range.step) * src_ndarray->strides[src_axis];
+            dst_ndarray->shape[dst_axis] = (SizeT)range.len<SizeT>();
+
+            dst_axis++;
+            src_axis++;
+        } else if (index->type == ND_INDEX_TYPE_NEWAXIS) {
+            dst_ndarray->strides[dst_axis] = 0;
+            dst_ndarray->shape[dst_axis] = 1;
+
+            dst_axis++;
+        } else if (index->type == ND_INDEX_TYPE_ELLIPSIS) {
+            // The number of ':' entries this '...' implies.
+            SizeT ellipsis_size = src_ndarray->ndims - num_indexed;
+
+            for (SizeT j = 0; j < ellipsis_size; j++) {
+                dst_ndarray->strides[dst_axis] = src_ndarray->strides[src_axis];
+                dst_ndarray->shape[dst_axis] = src_ndarray->shape[src_axis];
+
+                dst_axis++;
+                src_axis++;
+            }
+        } else {
+            __builtin_unreachable();
+        }
+    }
+
+    for (; dst_axis < dst_ndarray->ndims; dst_axis++, src_axis++) {
+        dst_ndarray->shape[dst_axis] = src_ndarray->shape[src_axis];
+        dst_ndarray->strides[dst_axis] = src_ndarray->strides[src_axis];
+    }
+
+    debug_assert_eq(SizeT, src_ndarray->ndims, src_axis);
+    debug_assert_eq(SizeT, dst_ndarray->ndims, dst_axis);
+}
+}  // namespace ndarray::indexing
+}  // namespace
+
+extern "C" {
+using namespace ndarray::indexing;
+
+void __nac3_ndarray_index(int32_t num_indices,
+                          NDIndex* indices,
+                          NDArray<int32_t>* src_ndarray,
+                          NDArray<int32_t>* dst_ndarray) {
+    index(num_indices, indices, src_ndarray, dst_ndarray);
+}
+
+void __nac3_ndarray_index64(int64_t num_indices,
+                            NDIndex* indices,
+                            NDArray<int64_t>* src_ndarray,
+                            NDArray<int64_t>* dst_ndarray) {
+    index(num_indices, indices, src_ndarray, dst_ndarray);
+}
+}

nac3core/irrt/irrt/ndarray/iter.hpp

@@ -0,0 +1,146 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/def.hpp"
+
+namespace {
+/**
+ * @brief Helper struct to enumerate through an ndarray *efficiently*.
+ *
+ * Example usage (in pseudo-code):
+ * ```
+ * // Suppose my_ndarray has been initialized, with shape [2, 3] and dtype `double`
+ * NDIter nditer;
+ * nditer.initialize(my_ndarray);
+ * while (nditer.has_element()) {
+ *    // This body is run 6 (= my_ndarray.size) times.
+ *
+ *    // [0, 0] -> [0, 1] -> [0, 2] -> [1, 0] -> [1, 1] -> [1, 2] -> end
+ *    print(nditer.indices);
+ *
+ *    // 0 -> 1 -> 2 -> 3 -> 4 -> 5
+ *    print(nditer.nth);
+ *
+ *    // <1st element> -> <2nd element> -> ... -> <6th element> -> end
+ *    print(*((double *) nditer.element))
+ *
+ *    nditer.next(); // Go to next element.
+ * }
+ * ```
+ *
+ * Interesting cases:
+ * - If `my_ndarray.ndims` == 0, there is one iteration.
+ * - If `my_ndarray.shape` contains zeroes, there are no iterations.
+ */
+template<typename SizeT>
+struct NDIter {
+    // Information about the ndarray being iterated over.
+    SizeT ndims;
+    SizeT* shape;
+    SizeT* strides;
+
+    /**
+     * @brief The current indices.
+     *
+     * Must be allocated by the caller.
+     */
+    SizeT* indices;
+
+    /**
+     * @brief The nth (0-based) index of the current indices.
+     *
+     * Initially this is 0.
+     */
+    SizeT nth;
+
+    /**
+     * @brief Pointer to the current element.
+     *
+     * Initially this points to first element of the ndarray.
+     */
+    void* element;
+
+    /**
+     * @brief Cache for the product of shape.
+     *
+     * Could be 0 if `shape` has 0s in it.
+     */
+    SizeT size;
+
+    void initialize(SizeT ndims, SizeT* shape, SizeT* strides, void* element, SizeT* indices) {
+        this->ndims = ndims;
+        this->shape = shape;
+        this->strides = strides;
+
+        this->indices = indices;
+        this->element = element;
+
+        // Compute size
+        this->size = 1;
+        for (SizeT i = 0; i < ndims; i++) {
+            this->size *= shape[i];
+        }
+
+        // `indices` starts on all 0s.
+        for (SizeT axis = 0; axis < ndims; axis++)
+            indices[axis] = 0;
+        nth = 0;
+    }
+
+    void initialize_by_ndarray(NDArray<SizeT>* ndarray, SizeT* indices) {
+        // NOTE: ndarray->data is pointing to the first element, and `NDIter`'s `element` should also point to the first
+        // element as well.
+        this->initialize(ndarray->ndims, ndarray->shape, ndarray->strides, ndarray->data, indices);
+    }
+
+    // Is the current iteration valid?
+    // If true, then `element`, `indices` and `nth` contain details about the current element.
+    bool has_element() { return nth < size; }
+
+    // Go to the next element.
+    void next() {
+        for (SizeT i = 0; i < ndims; i++) {
+            SizeT axis = ndims - i - 1;
+            indices[axis]++;
+            if (indices[axis] >= shape[axis]) {
+                indices[axis] = 0;
+
+                // TODO: There is something called backstrides to speedup iteration.
+                // See https://ajcr.net/stride-guide-part-1/, and
+                // https://docs.scipy.org/doc/numpy-1.13.0/reference/c-api.types-and-structures.html#c.PyArrayIterObject.PyArrayIterObject.backstrides.
+                element = static_cast<void*>(reinterpret_cast<uint8_t*>(element) - strides[axis] * (shape[axis] - 1));
+            } else {
+                element = static_cast<void*>(reinterpret_cast<uint8_t*>(element) + strides[axis]);
+                break;
+            }
+        }
+        nth++;
+    }
+};
+}  // namespace
+
+extern "C" {
+void __nac3_nditer_initialize(NDIter<int32_t>* iter, NDArray<int32_t>* ndarray, int32_t* indices) {
+    iter->initialize_by_ndarray(ndarray, indices);
+}
+
+void __nac3_nditer_initialize64(NDIter<int64_t>* iter, NDArray<int64_t>* ndarray, int64_t* indices) {
+    iter->initialize_by_ndarray(ndarray, indices);
+}
+
+bool __nac3_nditer_has_element(NDIter<int32_t>* iter) {
+    return iter->has_element();
+}
+
+bool __nac3_nditer_has_element64(NDIter<int64_t>* iter) {
+    return iter->has_element();
+}
+
+void __nac3_nditer_next(NDIter<int32_t>* iter) {
+    iter->next();
+}
+
+void __nac3_nditer_next64(NDIter<int64_t>* iter) {
+    iter->next();
+}
+}

nac3core/irrt/irrt/ndarray/matmul.hpp

@@ -0,0 +1,98 @@
+#pragma once
+
+#include "irrt/debug.hpp"
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/basic.hpp"
+#include "irrt/ndarray/broadcast.hpp"
+#include "irrt/ndarray/iter.hpp"
+
+// NOTE: Everything would be much easier and elegant if einsum is implemented.
+
+namespace {
+namespace ndarray::matmul {
+
+/**
+ * @brief Perform the broadcast in `np.einsum("...ij,...jk->...ik", a, b)`.
+ *
+ * Example:
+ *   Suppose      `a_shape ==      [1, 97, 4, 2]`
+ *       and      `b_shape == [99, 98,  1, 2, 5]`,
+ *
+ *   ...then  `new_a_shape == [99, 98, 97, 4, 2]`,
+ *            `new_b_shape == [99, 98, 97, 2, 5]`,
+ *      and     `dst_shape == [99, 98, 97, 4, 5]`.
+ *                             ^^^^^^^^^^  ^^^^
+ *                          (broadcasted)  (4x2 @ 2x5 => 4x5)
+ *
+ * @param a_ndims Length of `a_shape`.
+ * @param a_shape Shape of `a`.
+ * @param b_ndims Length of `b_shape`.
+ * @param b_shape Shape of `b`.
+ * @param final_ndims Should be equal to `max(a_ndims, b_ndims)`. This is the length of `new_a_shape`,
+ * `new_b_shape`, and `dst_shape` - the number of dimensions after broadcasting.
+ */
+template<typename SizeT>
+void calculate_shapes(SizeT a_ndims,
+                      SizeT* a_shape,
+                      SizeT b_ndims,
+                      SizeT* b_shape,
+                      SizeT final_ndims,
+                      SizeT* new_a_shape,
+                      SizeT* new_b_shape,
+                      SizeT* dst_shape) {
+    debug_assert(SizeT, a_ndims >= 2);
+    debug_assert(SizeT, b_ndims >= 2);
+    debug_assert_eq(SizeT, max(a_ndims, b_ndims), final_ndims);
+
+    // Check that a and b are compatible for matmul
+    if (a_shape[a_ndims - 1] != b_shape[b_ndims - 2]) {
+        // This is a custom error message. Different from NumPy.
+        raise_exception(SizeT, EXN_VALUE_ERROR, "Cannot multiply LHS (shape ?x{0}) with RHS (shape {1}x?})",
+                        a_shape[a_ndims - 1], b_shape[b_ndims - 2], NO_PARAM);
+    }
+
+    const SizeT num_entries = 2;
+    ShapeEntry<SizeT> entries[num_entries] = {{.ndims = a_ndims - 2, .shape = a_shape},
+                                              {.ndims = b_ndims - 2, .shape = b_shape}};
+
+    // TODO: Optimize this
+    ndarray::broadcast::broadcast_shapes<SizeT>(num_entries, entries, final_ndims - 2, new_a_shape);
+    ndarray::broadcast::broadcast_shapes<SizeT>(num_entries, entries, final_ndims - 2, new_b_shape);
+    ndarray::broadcast::broadcast_shapes<SizeT>(num_entries, entries, final_ndims - 2, dst_shape);
+
+    new_a_shape[final_ndims - 2] = a_shape[a_ndims - 2];
+    new_a_shape[final_ndims - 1] = a_shape[a_ndims - 1];
+    new_b_shape[final_ndims - 2] = b_shape[b_ndims - 2];
+    new_b_shape[final_ndims - 1] = b_shape[b_ndims - 1];
+    dst_shape[final_ndims - 2] = a_shape[a_ndims - 2];
+    dst_shape[final_ndims - 1] = b_shape[b_ndims - 1];
+}
+}  // namespace ndarray::matmul
+}  // namespace
+
+extern "C" {
+using namespace ndarray::matmul;
+
+void __nac3_ndarray_matmul_calculate_shapes(int32_t a_ndims,
+                                            int32_t* a_shape,
+                                            int32_t b_ndims,
+                                            int32_t* b_shape,
+                                            int32_t final_ndims,
+                                            int32_t* new_a_shape,
+                                            int32_t* new_b_shape,
+                                            int32_t* dst_shape) {
+    calculate_shapes(a_ndims, a_shape, b_ndims, b_shape, final_ndims, new_a_shape, new_b_shape, dst_shape);
+}
+
+void __nac3_ndarray_matmul_calculate_shapes64(int64_t a_ndims,
+                                              int64_t* a_shape,
+                                              int64_t b_ndims,
+                                              int64_t* b_shape,
+                                              int64_t final_ndims,
+                                              int64_t* new_a_shape,
+                                              int64_t* new_b_shape,
+                                              int64_t* dst_shape) {
+    calculate_shapes(a_ndims, a_shape, b_ndims, b_shape, final_ndims, new_a_shape, new_b_shape, dst_shape);
+}
+}

nac3core/irrt/irrt/ndarray/reshape.hpp

@@ -0,0 +1,97 @@
+#pragma once
+
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/def.hpp"
+
+namespace {
+namespace ndarray::reshape {
+/**
+ * @brief Perform assertions on and resolve unknown dimensions in `new_shape` in `np.reshape(<ndarray>, new_shape)`
+ *
+ * If `new_shape` indeed contains unknown dimensions (specified with `-1`, just like numpy), `new_shape` will be
+ * modified to contain the resolved dimension.
+ *
+ * To perform assertions on and resolve unknown dimensions in `new_shape`, we don't need the actual
+ * `<ndarray>` object itself, but only the `.size` of the `<ndarray>`.
+ *
+ * @param size The `.size` of `<ndarray>`
+ * @param new_ndims Number of elements in `new_shape`
+ * @param new_shape Target shape to reshape to
+ */
+template<typename SizeT>
+void resolve_and_check_new_shape(SizeT size, SizeT new_ndims, SizeT* new_shape) {
+    // Is there a -1 in `new_shape`?
+    bool neg1_exists = false;
+    // Location of -1, only initialized if `neg1_exists` is true
+    SizeT neg1_axis_i;
+    // The computed ndarray size of `new_shape`
+    SizeT new_size = 1;
+
+    for (SizeT axis_i = 0; axis_i < new_ndims; axis_i++) {
+        SizeT dim = new_shape[axis_i];
+        if (dim < 0) {
+            if (dim == -1) {
+                if (neg1_exists) {
+                    // Multiple `-1` found. Throw an error.
+                    raise_exception(SizeT, EXN_VALUE_ERROR, "can only specify one unknown dimension", NO_PARAM,
+                                    NO_PARAM, NO_PARAM);
+                } else {
+                    neg1_exists = true;
+                    neg1_axis_i = axis_i;
+                }
+            } else {
+                // TODO: What? In `np.reshape` any negative dimensions is
+                // treated like its `-1`.
+                //
+                // Try running `np.zeros((3, 4)).reshape((-999, 2))`
+                //
+                // It is not documented by numpy.
+                // Throw an error for now...
+
+                raise_exception(SizeT, EXN_VALUE_ERROR, "Found non -1 negative dimension {0} on axis {1}", dim, axis_i,
+                                NO_PARAM);
+            }
+        } else {
+            new_size *= dim;
+        }
+    }
+
+    bool can_reshape;
+    if (neg1_exists) {
+        // Let `x` be the unknown dimension
+        // Solve `x * <new_size> = <size>`
+        if (new_size == 0 && size == 0) {
+            // `x` has infinitely many solutions
+            can_reshape = false;
+        } else if (new_size == 0 && size != 0) {
+            // `x` has no solutions
+            can_reshape = false;
+        } else if (size % new_size != 0) {
+            // `x` has no integer solutions
+            can_reshape = false;
+        } else {
+            can_reshape = true;
+            new_shape[neg1_axis_i] = size / new_size;  // Resolve dimension
+        }
+    } else {
+        can_reshape = (new_size == size);
+    }
+
+    if (!can_reshape) {
+        raise_exception(SizeT, EXN_VALUE_ERROR, "cannot reshape array of size {0} into given shape", size, NO_PARAM,
+                        NO_PARAM);
+    }
+}
+}  // namespace ndarray::reshape
+}  // namespace
+
+extern "C" {
+void __nac3_ndarray_reshape_resolve_and_check_new_shape(int32_t size, int32_t new_ndims, int32_t* new_shape) {
+    ndarray::reshape::resolve_and_check_new_shape(size, new_ndims, new_shape);
+}
+
+void __nac3_ndarray_reshape_resolve_and_check_new_shape64(int64_t size, int64_t new_ndims, int64_t* new_shape) {
+    ndarray::reshape::resolve_and_check_new_shape(size, new_ndims, new_shape);
+}
+}

nac3core/irrt/irrt/ndarray/transpose.hpp

@@ -0,0 +1,143 @@
+#pragma once
+
+#include "irrt/debug.hpp"
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/ndarray/def.hpp"
+#include "irrt/slice.hpp"
+
+/*
+ * Notes on `np.transpose(<array>, <axes>)`
+ *
+ * TODO: `axes`, if specified, can actually contain negative indices,
+ * but it is not documented in numpy.
+ *
+ * Supporting it for now.
+ */
+
+namespace {
+namespace ndarray::transpose {
+/**
+ * @brief Do assertions on `<axes>` in `np.transpose(<array>, <axes>)`.
+ *
+ * Note that `np.transpose`'s `<axe>` argument is optional. If the argument
+ * is specified but the user, use this function to do assertions on it.
+ *
+ * @param ndims The number of dimensions of `<array>`
+ * @param num_axes Number of elements in `<axes>` as specified by the user.
+ *   This should be equal to `ndims`. If not, a "ValueError: axes don't match array" is thrown.
+ * @param axes The user specified `<axes>`.
+ */
+template<typename SizeT>
+void assert_transpose_axes(SizeT ndims, SizeT num_axes, const SizeT* axes) {
+    if (ndims != num_axes) {
+        raise_exception(SizeT, EXN_VALUE_ERROR, "axes don't match array", NO_PARAM, NO_PARAM, NO_PARAM);
+    }
+
+    // TODO: Optimize this
+    bool* axe_specified = (bool*)__builtin_alloca(sizeof(bool) * ndims);
+    for (SizeT i = 0; i < ndims; i++)
+        axe_specified[i] = false;
+
+    for (SizeT i = 0; i < ndims; i++) {
+        SizeT axis = slice::resolve_index_in_length(ndims, axes[i]);
+        if (axis == -1) {
+            // TODO: numpy actually throws a `numpy.exceptions.AxisError`
+            raise_exception(SizeT, EXN_VALUE_ERROR, "axis {0} is out of bounds for array of dimension {1}", axis, ndims,
+                            NO_PARAM);
+        }
+
+        if (axe_specified[axis]) {
+            raise_exception(SizeT, EXN_VALUE_ERROR, "repeated axis in transpose", NO_PARAM, NO_PARAM, NO_PARAM);
+        }
+
+        axe_specified[axis] = true;
+    }
+}
+
+/**
+ * @brief Create a transpose view of `src_ndarray` and perform proper assertions.
+ *
+ * This function is very similar to doing `dst_ndarray = np.transpose(src_ndarray, <axes>)`.
+ * If `<axes>` is supposed to be `None`, caller can pass in a `nullptr` to `<axes>`.
+ *
+ * The transpose view created is returned by modifying `dst_ndarray`.
+ *
+ * The caller is responsible for setting up `dst_ndarray` before calling this function.
+ * Here is what this function expects from `dst_ndarray` when called:
+ *   - `dst_ndarray->data` does not have to be initialized.
+ *   - `dst_ndarray->itemsize` does not have to be initialized.
+ *   - `dst_ndarray->ndims` must be initialized, must be equal to `src_ndarray->ndims`.
+ *   - `dst_ndarray->shape` must be allocated, through it can contain uninitialized values.
+ *   - `dst_ndarray->strides` must be allocated, through it can contain uninitialized values.
+ * When this function call ends:
+ *   - `dst_ndarray->data` is set to `src_ndarray->data` (`dst_ndarray` is just a view to `src_ndarray`)
+ *   - `dst_ndarray->itemsize` is set to `src_ndarray->itemsize`
+ *   - `dst_ndarray->ndims` is unchanged
+ *   - `dst_ndarray->shape` is updated according to how `np.transpose` works
+ *   - `dst_ndarray->strides` is updated according to how `np.transpose` works
+ *
+ * @param src_ndarray The NDArray to build a transpose view on
+ * @param dst_ndarray The resulting NDArray after transpose. Further details in the comments above,
+ * @param num_axes Number of elements in axes. Unused if `axes` is nullptr.
+ * @param axes Axes permutation. Set it to `nullptr` if `<axes>` is `None`.
+ */
+template<typename SizeT>
+void transpose(const NDArray<SizeT>* src_ndarray, NDArray<SizeT>* dst_ndarray, SizeT num_axes, const SizeT* axes) {
+    debug_assert_eq(SizeT, src_ndarray->ndims, dst_ndarray->ndims);
+    const auto ndims = src_ndarray->ndims;
+
+    if (axes != nullptr)
+        assert_transpose_axes(ndims, num_axes, axes);
+
+    dst_ndarray->data = src_ndarray->data;
+    dst_ndarray->itemsize = src_ndarray->itemsize;
+
+    // Check out https://ajcr.net/stride-guide-part-2/ to see how `np.transpose` works behind the scenes.
+    if (axes == nullptr) {
+        // `np.transpose(<array>, axes=None)`
+
+        /*
+         * Minor note: `np.transpose(<array>, axes=None)` is equivalent to
+         * `np.transpose(<array>, axes=[N-1, N-2, ..., 0])` - basically it
+         * is reversing the order of strides and shape.
+         *
+         * This is a fast implementation to handle this special (but very common) case.
+         */
+
+        for (SizeT axis = 0; axis < ndims; axis++) {
+            dst_ndarray->shape[axis] = src_ndarray->shape[ndims - axis - 1];
+            dst_ndarray->strides[axis] = src_ndarray->strides[ndims - axis - 1];
+        }
+    } else {
+        // `np.transpose(<array>, <axes>)`
+
+        // Permute strides and shape according to `axes`, while resolving negative indices in `axes`
+        for (SizeT axis = 0; axis < ndims; axis++) {
+            // `i` cannot be OUT_OF_BOUNDS because of assertions
+            SizeT i = slice::resolve_index_in_length(ndims, axes[axis]);
+
+            dst_ndarray->shape[axis] = src_ndarray->shape[i];
+            dst_ndarray->strides[axis] = src_ndarray->strides[i];
+        }
+    }
+}
+}  // namespace ndarray::transpose
+}  // namespace
+
+extern "C" {
+using namespace ndarray::transpose;
+void __nac3_ndarray_transpose(const NDArray<int32_t>* src_ndarray,
+                              NDArray<int32_t>* dst_ndarray,
+                              int32_t num_axes,
+                              const int32_t* axes) {
+    transpose(src_ndarray, dst_ndarray, num_axes, axes);
+}
+
+void __nac3_ndarray_transpose64(const NDArray<int64_t>* src_ndarray,
+                                NDArray<int64_t>* dst_ndarray,
+                                int64_t num_axes,
+                                const int64_t* axes) {
+    transpose(src_ndarray, dst_ndarray, num_axes, axes);
+}
+}

nac3core/irrt/irrt/range.hpp

@@ -0,0 +1,47 @@
+#pragma once
+
+#include "irrt/debug.hpp"
+#include "irrt/int_types.hpp"
+
+namespace {
+namespace range {
+template<typename T>
+T len(T start, T stop, T step) {
+    // Reference:
+    // https://github.com/python/cpython/blob/9dbd12375561a393eaec4b21ee4ac568a407cdb0/Objects/rangeobject.c#L933
+    if (step > 0 && start < stop)
+        return 1 + (stop - 1 - start) / step;
+    else if (step < 0 && start > stop)
+        return 1 + (start - 1 - stop) / (-step);
+    else
+        return 0;
+}
+}  // namespace range
+
+/**
+ * @brief A Python range.
+ */
+template<typename T>
+struct Range {
+    T start;
+    T stop;
+    T step;
+
+    /**
+     * @brief Calculate the `len()` of this range.
+     */
+    template<typename SizeT>
+    T len() {
+        debug_assert(SizeT, step != 0);
+        return range::len(start, stop, step);
+    }
+};
+}  // namespace
+
+extern "C" {
+using namespace range;
+
+SliceIndex __nac3_range_slice_len(const SliceIndex start, const SliceIndex end, const SliceIndex step) {
+    return len(start, end, step);
+}
+}

nac3core/irrt/irrt/slice.hpp

@@ -0,0 +1,156 @@
+#pragma once
+
+#include "irrt/debug.hpp"
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/math_util.hpp"
+#include "irrt/range.hpp"
+
+namespace {
+namespace slice {
+/**
+ * @brief Resolve a possibly negative index in a list of a known length.
+ *
+ * Returns -1 if the resolved index is out of the list's bounds.
+ */
+template<typename T>
+T resolve_index_in_length(T length, T index) {
+    T resolved = index < 0 ? length + index : index;
+    if (0 <= resolved && resolved < length) {
+        return resolved;
+    } else {
+        return -1;
+    }
+}
+
+/**
+ * @brief Resolve a slice as a range.
+ *
+ * This is equivalent to `range(*slice(start, stop, step).indices(length))` in Python.
+ */
+template<typename T>
+void indices(bool start_defined,
+             T start,
+             bool stop_defined,
+             T stop,
+             bool step_defined,
+             T step,
+             T length,
+             T* range_start,
+             T* range_stop,
+             T* range_step) {
+    // Reference: https://github.com/python/cpython/blob/main/Objects/sliceobject.c#L388
+    *range_step = step_defined ? step : 1;
+    bool step_is_negative = *range_step < 0;
+
+    T lower, upper;
+    if (step_is_negative) {
+        lower = -1;
+        upper = length - 1;
+    } else {
+        lower = 0;
+        upper = length;
+    }
+
+    if (start_defined) {
+        *range_start = start < 0 ? max(lower, start + length) : min(upper, start);
+    } else {
+        *range_start = step_is_negative ? upper : lower;
+    }
+
+    if (stop_defined) {
+        *range_stop = stop < 0 ? max(lower, stop + length) : min(upper, stop);
+    } else {
+        *range_stop = step_is_negative ? lower : upper;
+    }
+}
+}  // namespace slice
+
+/**
+ * @brief A Python-like slice with **unresolved** indices.
+ */
+template<typename T>
+struct Slice {
+    bool start_defined;
+    T start;
+
+    bool stop_defined;
+    T stop;
+
+    bool step_defined;
+    T step;
+
+    Slice() { this->reset(); }
+
+    void reset() {
+        this->start_defined = false;
+        this->stop_defined = false;
+        this->step_defined = false;
+    }
+
+    void set_start(T start) {
+        this->start_defined = true;
+        this->start = start;
+    }
+
+    void set_stop(T stop) {
+        this->stop_defined = true;
+        this->stop = stop;
+    }
+
+    void set_step(T step) {
+        this->step_defined = true;
+        this->step = step;
+    }
+
+    /**
+     * @brief Resolve this slice as a range.
+     *
+     * In Python, this would be `range(*slice(start, stop, step).indices(length))`.
+     */
+    template<typename SizeT>
+    Range<T> indices(T length) {
+        // Reference:
+        // https://github.com/python/cpython/blob/main/Objects/sliceobject.c#L388
+        debug_assert(SizeT, length >= 0);
+
+        Range<T> result;
+        slice::indices(start_defined, start, stop_defined, stop, step_defined, step, length, &result.start,
+                       &result.stop, &result.step);
+        return result;
+    }
+
+    /**
+     * @brief Like `.indices()` but with assertions.
+     */
+    template<typename SizeT>
+    Range<T> indices_checked(T length) {
+        // TODO: Switch to `SizeT length`
+
+        if (length < 0) {
+            raise_exception(SizeT, EXN_VALUE_ERROR, "length should not be negative, got {0}", length, NO_PARAM,
+                            NO_PARAM);
+        }
+
+        if (this->step_defined && this->step == 0) {
+            raise_exception(SizeT, EXN_VALUE_ERROR, "slice step cannot be zero", NO_PARAM, NO_PARAM, NO_PARAM);
+        }
+
+        return this->indices<SizeT>(length);
+    }
+};
+}  // namespace
+
+extern "C" {
+SliceIndex __nac3_slice_index_bound(SliceIndex i, const SliceIndex len) {
+    if (i < 0) {
+        i = len + i;
+    }
+    if (i < 0) {
+        return 0;
+    } else if (i > len) {
+        return len;
+    }
+    return i;
+}
+}

nac3core/irrt/irrt/string.hpp

@@ -0,0 +1,23 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+namespace {
+template<typename SizeT>
+bool __nac3_str_eq_impl(const char* str1, SizeT len1, const char* str2, SizeT len2) {
+    if (len1 != len2) {
+        return 0;
+    }
+    return __builtin_memcmp(str1, str2, static_cast<SizeT>(len1)) == 0;
+}
+}  // namespace
+
+extern "C" {
+bool nac3_str_eq(const char* str1, uint32_t len1, const char* str2, uint32_t len2) {
+    return __nac3_str_eq_impl<uint32_t>(str1, len1, str2, len2);
+}
+
+bool nac3_str_eq64(const char* str1, uint64_t len1, const char* str2, uint64_t len2) {
+    return __nac3_str_eq_impl<uint64_t>(str1, len1, str2, len2);
+}
+}

nac3core/nac3core_derive/Cargo.toml

@@ -0,0 +1,21 @@
+[package]
+name = "nac3core_derive"
+version = "0.1.0"
+edition = "2021"
+
+[lib]
+proc-macro = true
+
+[[test]]
+name = "structfields_tests"
+path = "tests/structfields_test.rs"
+
+[dev-dependencies]
+nac3core = { path = ".." }
+trybuild = { version = "1.0", features = ["diff"] }
+
+[dependencies]
+proc-macro2 = "1.0"
+proc-macro-error = "1.0"
+syn = "2.0"
+quote = "1.0"

nac3core/nac3core_derive/src/lib.rs

@@ -0,0 +1,320 @@
+use proc_macro::TokenStream;
+use proc_macro_error::{abort, proc_macro_error};
+use quote::quote;
+use syn::{
+    parse_macro_input, spanned::Spanned, Data, DataStruct, Expr, ExprField, ExprMethodCall,
+    ExprPath, GenericArgument, Ident, LitStr, Path, PathArguments, Type, TypePath,
+};
+
+/// Extracts all generic arguments of a [`Type`] into a [`Vec`].
+///
+/// Returns [`Some`] of a possibly-empty [`Vec`] if the path of `ty` matches with
+/// `expected_ty_name`, otherwise returns [`None`].
+fn extract_generic_args(expected_ty_name: &'static str, ty: &Type) -> Option<Vec<GenericArgument>> {
+    let Type::Path(TypePath { qself: None, path, .. }) = ty else {
+        return None;
+    };
+
+    let segments = &path.segments;
+    if segments.len() != 1 {
+        return None;
+    };
+
+    let segment = segments.iter().next().unwrap();
+    if segment.ident != expected_ty_name {
+        return None;
+    }
+
+    let PathArguments::AngleBracketed(path_args) = &segment.arguments else {
+        return Some(Vec::new());
+    };
+    let args = &path_args.args;
+
+    Some(args.iter().cloned().collect::<Vec<_>>())
+}
+
+/// Maps a `path` matching one of the `target_idents` into the `replacement` [`Ident`].
+fn map_path_to_ident(path: &Path, target_idents: &[&str], replacement: &str) -> Option<Ident> {
+    path.require_ident()
+        .ok()
+        .filter(|ident| target_idents.iter().any(|target| ident == target))
+        .map(|ident| Ident::new(replacement, ident.span()))
+}
+
+/// Extracts the left-hand side of a dot-expression.
+fn extract_dot_operand(expr: &Expr) -> Option<&Expr> {
+    match expr {
+        Expr::MethodCall(ExprMethodCall { receiver: operand, .. })
+        | Expr::Field(ExprField { base: operand, .. }) => Some(operand),
+        _ => None,
+    }
+}
+
+/// Replaces the top-level receiver of a dot-expression with an [`Ident`], returning `Some(&mut expr)` if the
+/// replacement is performed.
+///
+/// The top-level receiver is the left-most receiver expression, e.g. the top-level receiver of `a.b.c.foo()` is `a`.
+fn replace_top_level_receiver(expr: &mut Expr, ident: Ident) -> Option<&mut Expr> {
+    if let Expr::MethodCall(ExprMethodCall { receiver: operand, .. })
+    | Expr::Field(ExprField { base: operand, .. }) = expr
+    {
+        return if extract_dot_operand(operand).is_some() {
+            if replace_top_level_receiver(operand, ident).is_some() {
+                Some(expr)
+            } else {
+                None
+            }
+        } else {
+            *operand = Box::new(Expr::Path(ExprPath {
+                attrs: Vec::default(),
+                qself: None,
+                path: ident.into(),
+            }));
+
+            Some(expr)
+        };
+    }
+
+    None
+}
+
+/// Iterates all operands to the left-hand side of the `.` of an [expression][`Expr`], i.e. the container operand of all
+/// [`Expr::Field`] and the receiver operand of all [`Expr::MethodCall`].
+///
+/// The iterator will return the operand expressions in reverse order of appearance. For example, `a.b.c.func()` will
+/// return `vec![c, b, a]`.
+fn iter_dot_operands(expr: &Expr) -> impl Iterator<Item = &Expr> {
+    let mut o = extract_dot_operand(expr);
+
+    std::iter::from_fn(move || {
+        let this = o;
+        o = o.as_ref().and_then(|o| extract_dot_operand(o));
+
+        this
+    })
+}
+
+/// Normalizes a value expression for use when creating an instance of this structure, returning a
+/// [`proc_macro2::TokenStream`] of tokens representing the normalized expression.
+fn normalize_value_expr(expr: &Expr) -> proc_macro2::TokenStream {
+    match &expr {
+        Expr::Path(ExprPath { qself: None, path, .. }) => {
+            if let Some(ident) = map_path_to_ident(path, &["usize", "size_t"], "llvm_usize") {
+                quote! { #ident }
+            } else {
+                abort!(
+                    path,
+                    format!(
+                        "Expected one of `size_t`, `usize`, or an implicit call expression in #[value_type(...)], found {}", 
+                        quote!(#expr).to_string(),
+                    )
+                )
+            }
+        }
+
+        Expr::Call(_) => {
+            quote! { ctx.#expr }
+        }
+
+        Expr::MethodCall(_) => {
+            let base_receiver = iter_dot_operands(expr).last();
+
+            match base_receiver {
+                // `usize.{...}`, `size_t.{...}` -> Rewrite the identifiers to `llvm_usize`
+                Some(Expr::Path(ExprPath { qself: None, path, .. }))
+                    if map_path_to_ident(path, &["usize", "size_t"], "llvm_usize").is_some() =>
+                {
+                    let ident =
+                        map_path_to_ident(path, &["usize", "size_t"], "llvm_usize").unwrap();
+
+                    let mut expr = expr.clone();
+                    let expr = replace_top_level_receiver(&mut expr, ident).unwrap();
+
+                    quote!(#expr)
+                }
+
+                // `ctx.{...}`, `context.{...}` -> Rewrite the identifiers to `ctx`
+                Some(Expr::Path(ExprPath { qself: None, path, .. }))
+                    if map_path_to_ident(path, &["ctx", "context"], "ctx").is_some() =>
+                {
+                    let ident = map_path_to_ident(path, &["ctx", "context"], "ctx").unwrap();
+
+                    let mut expr = expr.clone();
+                    let expr = replace_top_level_receiver(&mut expr, ident).unwrap();
+
+                    quote!(#expr)
+                }
+
+                // No reserved identifier prefix -> Prepend `ctx.` to the entire expression
+                _ => quote! { ctx.#expr },
+            }
+        }
+
+        _ => {
+            abort!(
+                expr,
+                format!(
+                    "Expected one of `size_t`, `usize`, or an implicit call expression in #[value_type(...)], found {}", 
+                    quote!(#expr).to_string(),
+                )
+            )
+        }
+    }
+}
+
+/// Derives an implementation of `codegen::types::structure::StructFields`.
+///
+/// The benefit of using `#[derive(StructFields)]` is that all index- or order-dependent logic required by
+/// `impl StructFields` is automatically generated by this implementation, including the field index as required by
+/// `StructField::new` and the fields as returned by `StructFields::to_vec`.
+///
+/// # Prerequisites
+///
+/// In order to derive from [`StructFields`], you must implement (or derive) [`Eq`] and [`Copy`] as required by
+/// `StructFields`.
+///
+/// Moreover, `#[derive(StructFields)]` can only be used for `struct`s with named fields, and may only contain fields
+/// with either `StructField` or [`PhantomData`] types.
+///
+/// # Attributes for [`StructFields`]
+///
+/// Each `StructField` field must be declared with the `#[value_type(...)]` attribute. The argument of `value_type`
+/// accepts one of the following:
+///
+/// - An expression returning an instance of `inkwell::types::BasicType` (with or without the receiver `ctx`/`context`).
+/// For example, `context.i8_type()`, `ctx.i8_type()`, and `i8_type()` all refer to `i8`.
+/// - The reserved identifiers `usize` and `size_t` referring to an `inkwell::types::IntType` of the platform-dependent
+/// integer size. `usize` and `size_t` can also be used as the receiver to other method calls, e.g.
+/// `usize.array_type(3)`.
+///
+/// # Example
+///
+/// The following is an example of an LLVM slice implemented using `#[derive(StructFields)]`.
+///
+/// ```rust,ignore
+/// use nac3core::{
+///     codegen::types::structure::StructField,
+///     inkwell::{
+///         values::{IntValue, PointerValue},
+///         AddressSpace,
+///     },
+/// };
+/// use nac3core_derive::StructFields;
+///
+/// // All classes that implement StructFields must also implement Eq and Copy
+/// #[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+/// pub struct SliceValue<'ctx> {
+///     // Declares ptr have a value type of i8*
+///     //
+///     // Can also be written as `ctx.i8_type().ptr_type(...)` or `context.i8_type().ptr_type(...)`
+///     #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+///     ptr: StructField<'ctx, PointerValue<'ctx>>,
+///
+///     // Declares len have a value type of usize, depending on the target compilation platform
+///     #[value_type(usize)]
+///     len: StructField<'ctx, IntValue<'ctx>>,
+/// }
+/// ```
+#[proc_macro_derive(StructFields, attributes(value_type))]
+#[proc_macro_error]
+pub fn derive(input: TokenStream) -> TokenStream {
+    let input = parse_macro_input!(input as syn::DeriveInput);
+    let ident = &input.ident;
+
+    let Data::Struct(DataStruct { fields, .. }) = &input.data else {
+        abort!(input, "Only structs with named fields are supported");
+    };
+    if let Err(err_span) =
+        fields
+            .iter()
+            .try_for_each(|field| if field.ident.is_some() { Ok(()) } else { Err(field.span()) })
+    {
+        abort!(err_span, "Only structs with named fields are supported");
+    };
+
+    // Check if struct<'ctx>
+    if input.generics.params.len() != 1 {
+        abort!(input.generics, "Expected exactly 1 generic parameter")
+    }
+
+    let phantom_info = fields
+        .iter()
+        .filter(|field| extract_generic_args("PhantomData", &field.ty).is_some())
+        .map(|field| field.ident.as_ref().unwrap())
+        .cloned()
+        .collect::<Vec<_>>();
+
+    let field_info = fields
+        .iter()
+        .filter(|field| extract_generic_args("PhantomData", &field.ty).is_none())
+        .map(|field| {
+            let ident = field.ident.as_ref().unwrap();
+            let ty = &field.ty;
+
+            let Some(_) = extract_generic_args("StructField", ty) else {
+                abort!(field, "Only StructField and PhantomData are allowed")
+            };
+
+            let attrs = &field.attrs;
+            let Some(value_type_attr) =
+                attrs.iter().find(|attr| attr.path().is_ident("value_type"))
+            else {
+                abort!(field, "Expected #[value_type(...)] attribute for field");
+            };
+
+            let Ok(value_type_expr) = value_type_attr.parse_args::<Expr>() else {
+                abort!(value_type_attr, "Expected expression in #[value_type(...)]");
+            };
+
+            let value_expr_toks = normalize_value_expr(&value_type_expr);
+
+            (ident.clone(), value_expr_toks)
+        })
+        .collect::<Vec<_>>();
+
+    // `<*>::new` impl of `StructField` and `PhantomData` for `StructFields::new`
+    let phantoms_create = phantom_info
+        .iter()
+        .map(|id| quote! { #id: ::std::marker::PhantomData })
+        .collect::<Vec<_>>();
+    let fields_create = field_info
+        .iter()
+        .map(|(id, ty)| {
+            let id_lit = LitStr::new(&id.to_string(), id.span());
+            quote! {
+                #id: ::nac3core::codegen::types::structure::StructField::create(
+                    &mut counter,
+                    #id_lit,
+                    #ty,
+                )
+            }
+        })
+        .collect::<Vec<_>>();
+
+    // `.into()` impl of `StructField` for `StructFields::to_vec`
+    let fields_into =
+        field_info.iter().map(|(id, _)| quote! { self.#id.into() }).collect::<Vec<_>>();
+
+    let impl_block = quote! {
+        impl<'ctx> ::nac3core::codegen::types::structure::StructFields<'ctx> for #ident<'ctx> {
+            fn new(ctx: impl ::nac3core::inkwell::context::AsContextRef<'ctx>, llvm_usize: ::nac3core::inkwell::types::IntType<'ctx>) -> Self {
+                let ctx = unsafe { ::nac3core::inkwell::context::ContextRef::new(ctx.as_ctx_ref()) };
+
+                let mut counter = ::nac3core::codegen::types::structure::FieldIndexCounter::default();
+
+                #ident {
+                    #(#fields_create),*
+                    #(#phantoms_create),*
+                }
+            }
+
+            fn to_vec(&self) -> ::std::vec::Vec<(&'static str, ::nac3core::inkwell::types::BasicTypeEnum<'ctx>)> {
+                vec![
+                    #(#fields_into),*
+                ]
+            }
+        }
+    };
+
+    impl_block.into()
+}

nac3core/nac3core_derive/tests/structfields_empty.rs

@@ -0,0 +1,9 @@
+use nac3core_derive::StructFields;
+use std::marker::PhantomData;
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct EmptyValue<'ctx> {
+    _phantom: PhantomData<&'ctx ()>,
+}
+
+fn main() {}

nac3core/nac3core_derive/tests/structfields_ndarray.rs

@@ -0,0 +1,20 @@
+use nac3core::{
+    codegen::types::structure::StructField,
+    inkwell::{
+        values::{IntValue, PointerValue},
+        AddressSpace,
+    },
+};
+use nac3core_derive::StructFields;
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDArrayValue<'ctx> {
+    #[value_type(usize)]
+    ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    shape: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+fn main() {}

nac3core/nac3core_derive/tests/structfields_slice.rs

@@ -0,0 +1,18 @@
+use nac3core::{
+    codegen::types::structure::StructField,
+    inkwell::{
+        values::{IntValue, PointerValue},
+        AddressSpace,
+    },
+};
+use nac3core_derive::StructFields;
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct SliceValue<'ctx> {
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    ptr: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    len: StructField<'ctx, IntValue<'ctx>>,
+}
+
+fn main() {}

nac3core/nac3core_derive/tests/structfields_slice_context.rs

@@ -0,0 +1,18 @@
+use nac3core::{
+    codegen::types::structure::StructField,
+    inkwell::{
+        values::{IntValue, PointerValue},
+        AddressSpace,
+    },
+};
+use nac3core_derive::StructFields;
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct SliceValue<'ctx> {
+    #[value_type(context.i8_type().ptr_type(AddressSpace::default()))]
+    ptr: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    len: StructField<'ctx, IntValue<'ctx>>,
+}
+
+fn main() {}

nac3core/nac3core_derive/tests/structfields_slice_ctx.rs

@@ -0,0 +1,18 @@
+use nac3core::{
+    codegen::types::structure::StructField,
+    inkwell::{
+        values::{IntValue, PointerValue},
+        AddressSpace,
+    },
+};
+use nac3core_derive::StructFields;
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct SliceValue<'ctx> {
+    #[value_type(ctx.i8_type().ptr_type(AddressSpace::default()))]
+    ptr: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    len: StructField<'ctx, IntValue<'ctx>>,
+}
+
+fn main() {}

nac3core/nac3core_derive/tests/structfields_slice_sizet.rs

@@ -0,0 +1,18 @@
+use nac3core::{
+    codegen::types::structure::StructField,
+    inkwell::{
+        values::{IntValue, PointerValue},
+        AddressSpace,
+    },
+};
+use nac3core_derive::StructFields;
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct SliceValue<'ctx> {
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    ptr: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(size_t)]
+    len: StructField<'ctx, IntValue<'ctx>>,
+}
+
+fn main() {}

nac3core/nac3core_derive/tests/structfields_test.rs

@@ -0,0 +1,10 @@
+#[test]
+fn test_parse_empty() {
+    let t = trybuild::TestCases::new();
+    t.pass("tests/structfields_empty.rs");
+    t.pass("tests/structfields_slice.rs");
+    t.pass("tests/structfields_slice_ctx.rs");
+    t.pass("tests/structfields_slice_context.rs");
+    t.pass("tests/structfields_slice_sizet.rs");
+    t.pass("tests/structfields_ndarray.rs");
+}

nac3core/src/codegen/concrete_type.rs

@@ -1,15 +1,20 @@
+use std::collections::HashMap;
+
+use indexmap::IndexMap;
+
+use nac3parser::ast::StrRef;
+
 use crate::{
     symbol_resolver::SymbolValue,
     toplevel::DefinitionId,
     typecheck::{
         type_inferencer::PrimitiveStore,
-        typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier},
+        typedef::{
+            into_var_map, FunSignature, FuncArg, Type, TypeEnum, TypeVar, TypeVarId, Unifier,
+        },
     },
 };
 
-use nac3parser::ast::StrRef;
-use std::collections::HashMap;
-
 pub struct ConcreteTypeStore {
     store: Vec<ConcreteTypeEnum>,
 }
@@ -22,6 +27,7 @@ pub struct ConcreteFuncArg {
     pub name: StrRef,
     pub ty: ConcreteType,
     pub default_value: Option<SymbolValue>,
+    pub is_vararg: bool,
 }
 
 #[derive(Clone, Debug)]
@@ -43,14 +49,12 @@ pub enum ConcreteTypeEnum {
     TPrimitive(Primitive),
     TTuple {
         ty: Vec<ConcreteType>,
-    },
-    TList {
-        ty: ConcreteType,
+        is_vararg_ctx: bool,
     },
     TObj {
         obj_id: DefinitionId,
         fields: HashMap<StrRef, (ConcreteType, bool)>,
-        params: HashMap<u32, ConcreteType>,
+        params: IndexMap<TypeVarId, ConcreteType>,
     },
     TVirtual {
         ty: ConcreteType,
@@ -58,11 +62,15 @@ pub enum ConcreteTypeEnum {
     TFunc {
         args: Vec<ConcreteFuncArg>,
         ret: ConcreteType,
-        vars: HashMap<u32, ConcreteType>,
+        vars: HashMap<TypeVarId, ConcreteType>,
+    },
+    TLiteral {
+        values: Vec<SymbolValue>,
     },
 }
 
 impl ConcreteTypeStore {
+    #[must_use]
     pub fn new() -> ConcreteTypeStore {
         ConcreteTypeStore {
             store: vec![
@@ -80,6 +88,7 @@ impl ConcreteTypeStore {
         }
     }
 
+    #[must_use]
     pub fn get(&self, cty: ConcreteType) -> &ConcreteTypeEnum {
         &self.store[cty.0]
     }
@@ -97,8 +106,16 @@ impl ConcreteTypeStore {
                 .iter()
                 .map(|arg| ConcreteFuncArg {
                     name: arg.name,
-                    ty: self.from_unifier_type(unifier, primitives, arg.ty, cache),
+                    ty: if arg.is_vararg {
+                        let tuple_ty = unifier
+                            .add_ty(TypeEnum::TTuple { ty: vec![arg.ty], is_vararg_ctx: true });
+
+                        self.from_unifier_type(unifier, primitives, tuple_ty, cache)
+                    } else {
+                        self.from_unifier_type(unifier, primitives, arg.ty, cache)
+                    },
                     default_value: arg.default_value.clone(),
+                    is_vararg: arg.is_vararg,
                 })
                 .collect(),
             ret: self.from_unifier_type(unifier, primitives, signature.ret, cache),
@@ -153,14 +170,12 @@ impl ConcreteTypeStore {
             cache.insert(ty, None);
             let ty_enum = unifier.get_ty(ty);
             let result = match &*ty_enum {
-                TypeEnum::TTuple { ty } => ConcreteTypeEnum::TTuple {
+                TypeEnum::TTuple { ty, is_vararg_ctx } => ConcreteTypeEnum::TTuple {
                     ty: ty
                         .iter()
                         .map(|t| self.from_unifier_type(unifier, primitives, *t, cache))
                         .collect(),
-                },
-                TypeEnum::TList { ty } => ConcreteTypeEnum::TList {
-                    ty: self.from_unifier_type(unifier, primitives, *ty, cache),
+                    is_vararg_ctx: *is_vararg_ctx,
                 },
                 TypeEnum::TObj { obj_id, fields, params } => ConcreteTypeEnum::TObj {
                     obj_id: *obj_id,
@@ -194,9 +209,12 @@ impl ConcreteTypeStore {
                     ty: self.from_unifier_type(unifier, primitives, *ty, cache),
                 },
                 TypeEnum::TFunc(signature) => {
-                    self.from_signature(unifier, primitives, &*signature, cache)
+                    self.from_signature(unifier, primitives, signature, cache)
                 }
-                _ => unreachable!(),
+                TypeEnum::TLiteral { values, .. } => {
+                    ConcreteTypeEnum::TLiteral { values: values.clone() }
+                }
+                _ => unreachable!("{:?}", ty_enum.get_type_name()),
             };
             let index = if let Some(ConcreteType(index)) = cache.get(&ty).unwrap() {
                 self.store[*index] = result;
@@ -221,7 +239,7 @@ impl ConcreteTypeStore {
             return if let Some(ty) = ty {
                 *ty
             } else {
-                *ty = Some(unifier.get_dummy_var().0);
+                *ty = Some(unifier.get_dummy_var().ty);
                 ty.unwrap()
             };
         }
@@ -243,15 +261,13 @@ impl ConcreteTypeStore {
                 *cache.get_mut(&cty).unwrap() = Some(ty);
                 return ty;
             }
-            ConcreteTypeEnum::TTuple { ty } => TypeEnum::TTuple {
+            ConcreteTypeEnum::TTuple { ty, is_vararg_ctx } => TypeEnum::TTuple {
                 ty: ty
                     .iter()
                     .map(|cty| self.to_unifier_type(unifier, primitives, *cty, cache))
                     .collect(),
+                is_vararg_ctx: *is_vararg_ctx,
             },
-            ConcreteTypeEnum::TList { ty } => {
-                TypeEnum::TList { ty: self.to_unifier_type(unifier, primitives, *ty, cache) }
-            }
             ConcreteTypeEnum::TVirtual { ty } => {
                 TypeEnum::TVirtual { ty: self.to_unifier_type(unifier, primitives, *ty, cache) }
             }
@@ -263,10 +279,10 @@ impl ConcreteTypeStore {
                         (*name, (self.to_unifier_type(unifier, primitives, cty.0, cache), cty.1))
                     })
                     .collect::<HashMap<_, _>>(),
-                params: params
-                    .iter()
-                    .map(|(id, cty)| (*id, self.to_unifier_type(unifier, primitives, *cty, cache)))
-                    .collect::<HashMap<_, _>>(),
+                params: into_var_map(params.iter().map(|(&id, cty)| {
+                    let ty = self.to_unifier_type(unifier, primitives, *cty, cache);
+                    TypeVar { id, ty }
+                })),
             },
             ConcreteTypeEnum::TFunc { args, ret, vars } => TypeEnum::TFunc(FunSignature {
                 args: args
@@ -275,14 +291,18 @@ impl ConcreteTypeStore {
                         name: arg.name,
                         ty: self.to_unifier_type(unifier, primitives, arg.ty, cache),
                         default_value: arg.default_value.clone(),
+                        is_vararg: false,
                     })
                     .collect(),
                 ret: self.to_unifier_type(unifier, primitives, *ret, cache),
-                vars: vars
-                    .iter()
-                    .map(|(id, cty)| (*id, self.to_unifier_type(unifier, primitives, *cty, cache)))
-                    .collect::<HashMap<_, _>>(),
+                vars: into_var_map(vars.iter().map(|(&id, cty)| {
+                    let ty = self.to_unifier_type(unifier, primitives, *cty, cache);
+                    TypeVar { id, ty }
+                })),
             }),
+            ConcreteTypeEnum::TLiteral { values, .. } => {
+                TypeEnum::TLiteral { values: values.clone(), loc: None }
+            }
         };
         let result = unifier.add_ty(result);
         if let Some(ty) = cache.get(&cty).unwrap() {

nac3core/src/codegen/extern_fns.rs

@@ -0,0 +1,193 @@
+use inkwell::{
+    attributes::{Attribute, AttributeLoc},
+    values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue},
+};
+use itertools::Either;
+
+use super::CodeGenContext;
+
+/// Macro to generate extern function
+/// Both function return type and function parameter type are `FloatValue`
+///
+/// Arguments:
+/// * `unary/binary`: Whether the extern function requires one (unary) or two (binary) operands
+/// * `$fn_name:ident`: The identifier of the rust function to be generated
+/// * `$extern_fn:literal`: Name of underlying extern function
+///
+/// Optional Arguments:
+/// * `$(,$attributes:literal)*)`: Attributes linked with the extern function.
+///   The default attributes are "mustprogress", "nofree", "nounwind", "willreturn", and "writeonly".
+///   These will be used unless other attributes are specified
+/// * `$(,$args:ident)*`: Operands of the extern function
+///   The data type of these operands will be set to `FloatValue`
+///  
+macro_rules! generate_extern_fn {
+    ("unary", $fn_name:ident, $extern_fn:literal) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg, "mustprogress", "nofree", "nounwind", "willreturn", "writeonly");
+    };
+    ("unary", $fn_name:ident, $extern_fn:literal $(,$attributes:literal)*) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg $(,$attributes)*);
+    };
+    ("binary", $fn_name:ident, $extern_fn:literal) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg1, arg2, "mustprogress", "nofree", "nounwind", "willreturn", "writeonly");
+    };
+    ("binary", $fn_name:ident, $extern_fn:literal $(,$attributes:literal)*) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg1, arg2 $(,$attributes)*);
+    };
+    ($fn_name:ident, $extern_fn:literal $(,$args:ident)* $(,$attributes:literal)*) => {
+        #[doc = concat!("Invokes the [`", stringify!($extern_fn), "`](https://en.cppreference.com/w/c/numeric/math/", stringify!($llvm_name), ") function." )]
+        pub fn $fn_name<'ctx>(
+            ctx: &CodeGenContext<'ctx, '_>
+            $(,$args: FloatValue<'ctx>)*,
+            name: Option<&str>,
+        ) -> FloatValue<'ctx> {
+            const FN_NAME: &str = $extern_fn;
+
+            let llvm_f64 = ctx.ctx.f64_type();
+            $(debug_assert_eq!($args.get_type(), llvm_f64);)*
+
+            let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+                let fn_type = llvm_f64.fn_type(&[$($args.get_type().into()),*], false);
+                let func = ctx.module.add_function(FN_NAME, fn_type, None);
+                for attr in [$($attributes),*] {
+                    func.add_attribute(
+                        AttributeLoc::Function,
+                        ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
+                    );
+                }
+                func
+            });
+
+            ctx.builder
+                .build_call(extern_fn, &[$($args.into()),*], name.unwrap_or_default())
+                .map(CallSiteValue::try_as_basic_value)
+                .map(|v| v.map_left(BasicValueEnum::into_float_value))
+                .map(Either::unwrap_left)
+                .unwrap()
+        }
+    };
+}
+
+generate_extern_fn!("unary", call_tan, "tan");
+generate_extern_fn!("unary", call_asin, "asin");
+generate_extern_fn!("unary", call_acos, "acos");
+generate_extern_fn!("unary", call_atan, "atan");
+generate_extern_fn!("unary", call_sinh, "sinh");
+generate_extern_fn!("unary", call_cosh, "cosh");
+generate_extern_fn!("unary", call_tanh, "tanh");
+generate_extern_fn!("unary", call_asinh, "asinh");
+generate_extern_fn!("unary", call_acosh, "acosh");
+generate_extern_fn!("unary", call_atanh, "atanh");
+generate_extern_fn!("unary", call_expm1, "expm1");
+generate_extern_fn!(
+    "unary",
+    call_cbrt,
+    "cbrt",
+    "mustprogress",
+    "nofree",
+    "nosync",
+    "nounwind",
+    "readonly",
+    "willreturn"
+);
+generate_extern_fn!("unary", call_erf, "erf", "nounwind");
+generate_extern_fn!("unary", call_erfc, "erfc", "nounwind");
+generate_extern_fn!("unary", call_j1, "j1", "nounwind");
+
+generate_extern_fn!("binary", call_atan2, "atan2");
+generate_extern_fn!("binary", call_hypot, "hypot", "nounwind");
+generate_extern_fn!("binary", call_nextafter, "nextafter", "nounwind");
+
+/// Invokes the [`ldexp`](https://en.cppreference.com/w/c/numeric/math/ldexp) function.
+pub fn call_ldexp<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    arg: FloatValue<'ctx>,
+    exp: IntValue<'ctx>,
+    name: Option<&str>,
+) -> FloatValue<'ctx> {
+    const FN_NAME: &str = "ldexp";
+
+    let llvm_f64 = ctx.ctx.f64_type();
+    let llvm_i32 = ctx.ctx.i32_type();
+    debug_assert_eq!(arg.get_type(), llvm_f64);
+    debug_assert_eq!(exp.get_type(), llvm_i32);
+
+    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_i32.into()], false);
+        let func = ctx.module.add_function(FN_NAME, fn_type, None);
+        for attr in ["mustprogress", "nofree", "nounwind", "willreturn"] {
+            func.add_attribute(
+                AttributeLoc::Function,
+                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
+            );
+        }
+
+        func
+    });
+
+    ctx.builder
+        .build_call(extern_fn, &[arg.into(), exp.into()], name.unwrap_or_default())
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_float_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}
+
+/// Macro to generate `np_linalg` and `sp_linalg` functions
+/// The function takes as input `NDArray` and returns ()
+///
+/// Arguments:
+/// * `$fn_name:ident`: The identifier of the rust function to be generated
+/// * `$extern_fn:literal`: Name of underlying extern function
+/// * (2/3/4): Number of `NDArray` that function takes as input
+///
+/// Note:
+/// The operands and resulting `NDArray` are both passed as input to the funcion
+/// It is the responsibility of caller to ensure that output `NDArray` is properly allocated on stack
+/// The function changes the content of the output `NDArray` in-place
+macro_rules! generate_linalg_extern_fn {
+    ($fn_name:ident, $extern_fn:literal, 2) => {
+        generate_linalg_extern_fn!($fn_name, $extern_fn, mat1, mat2);
+    };
+    ($fn_name:ident, $extern_fn:literal, 3) => {
+        generate_linalg_extern_fn!($fn_name, $extern_fn, mat1, mat2, mat3);
+    };
+    ($fn_name:ident, $extern_fn:literal, 4) => {
+        generate_linalg_extern_fn!($fn_name, $extern_fn, mat1, mat2, mat3, mat4);
+    };
+    ($fn_name:ident, $extern_fn:literal $(,$input_matrix:ident)*) => {
+        #[doc = concat!("Invokes the linalg `", stringify!($extern_fn), " function." )]
+        pub fn $fn_name<'ctx>(
+            ctx: &mut CodeGenContext<'ctx, '_>
+            $(,$input_matrix: BasicValueEnum<'ctx>)*,
+            name: Option<&str>,
+        ){
+            const FN_NAME: &str = $extern_fn;
+            let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+                let fn_type = ctx.ctx.void_type().fn_type(&[$($input_matrix.get_type().into()),*], false);
+
+                let func = ctx.module.add_function(FN_NAME, fn_type, None);
+                for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
+                    func.add_attribute(
+                        AttributeLoc::Function,
+                        ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
+                    );
+                }
+                func
+            });
+
+            ctx.builder.build_call(extern_fn, &[$($input_matrix.into(),)*], name.unwrap_or_default()).unwrap();
+        }
+    };
+}
+
+generate_linalg_extern_fn!(call_np_linalg_cholesky, "np_linalg_cholesky", 2);
+generate_linalg_extern_fn!(call_np_linalg_qr, "np_linalg_qr", 3);
+generate_linalg_extern_fn!(call_np_linalg_svd, "np_linalg_svd", 4);
+generate_linalg_extern_fn!(call_np_linalg_inv, "np_linalg_inv", 2);
+generate_linalg_extern_fn!(call_np_linalg_pinv, "np_linalg_pinv", 2);
+generate_linalg_extern_fn!(call_np_linalg_matrix_power, "np_linalg_matrix_power", 3);
+generate_linalg_extern_fn!(call_np_linalg_det, "np_linalg_det", 2);
+generate_linalg_extern_fn!(call_sp_linalg_lu, "sp_linalg_lu", 3);
+generate_linalg_extern_fn!(call_sp_linalg_schur, "sp_linalg_schur", 3);
+generate_linalg_extern_fn!(call_sp_linalg_hessenberg, "sp_linalg_hessenberg", 3);

nac3core/src/codegen/generator.rs

@@ -1,20 +1,23 @@
+use inkwell::{
+    context::Context,
+    types::{BasicTypeEnum, IntType},
+    values::{BasicValueEnum, IntValue, PointerValue},
+};
+
+use nac3parser::ast::{Expr, Stmt, StrRef};
+
+use super::{bool_to_i1, bool_to_i8, expr::*, stmt::*, values::ArraySliceValue, CodeGenContext};
 use crate::{
-    codegen::{expr::*, stmt::*, CodeGenContext},
     symbol_resolver::ValueEnum,
     toplevel::{DefinitionId, TopLevelDef},
     typecheck::typedef::{FunSignature, Type},
 };
-use inkwell::{
-    context::Context,
-    types::{BasicTypeEnum, IntType},
-    values::{BasicValueEnum, PointerValue},
-};
-use nac3parser::ast::{Expr, Stmt, StrRef};
 
 pub trait CodeGenerator {
     /// Return the module name for the code generator.
     fn get_name(&self) -> &str;
 
+    /// Return an instance of [`IntType`] corresponding to the type of `size_t` for this instance.
     fn get_size_type<'ctx>(&self, ctx: &'ctx Context) -> IntType<'ctx>;
 
     /// Generate function call and returns the function return value.
@@ -22,9 +25,9 @@ pub trait CodeGenerator {
     /// - fun: Function signature and definition ID.
     /// - params: Function parameters. Note that this does not include the object even if the
     ///   function is a class method.
-    fn gen_call<'ctx, 'a>(
+    fn gen_call<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         obj: Option<(Type, ValueEnum<'ctx>)>,
         fun: (&FunSignature, DefinitionId),
         params: Vec<(Option<StrRef>, ValueEnum<'ctx>)>,
@@ -36,12 +39,12 @@ pub trait CodeGenerator {
     }
 
     /// Generate object constructor and returns the constructed object.
-    /// - signature: Function signature of the contructor.
+    /// - signature: Function signature of the constructor.
     /// - def: Class definition for the constructor class.
     /// - params: Function parameters.
-    fn gen_constructor<'ctx, 'a>(
+    fn gen_constructor<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         signature: &FunSignature,
         def: &TopLevelDef,
         params: Vec<(Option<StrRef>, ValueEnum<'ctx>)>,
@@ -57,22 +60,23 @@ pub trait CodeGenerator {
     /// - fun: Function signature, definition ID and the substitution key.
     /// - params: Function parameters. Note that this does not include the object even if the
     ///   function is a class method.
+    ///
     /// Note that this function should check if the function is generated in another thread (due to
     /// possible race condition), see the default implementation for an example.
-    fn gen_func_instance<'ctx, 'a>(
+    fn gen_func_instance<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         obj: Option<(Type, ValueEnum<'ctx>)>,
         fun: (&FunSignature, &mut TopLevelDef, String),
         id: usize,
     ) -> Result<String, String> {
-        gen_func_instance(ctx, obj, fun, id)
+        gen_func_instance(ctx, &obj, fun, id)
     }
 
     /// Generate the code for an expression.
-    fn gen_expr<'ctx, 'a>(
+    fn gen_expr<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         expr: &Expr<Option<Type>>,
     ) -> Result<Option<ValueEnum<'ctx>>, String>
     where
@@ -83,44 +87,92 @@ pub trait CodeGenerator {
 
     /// Allocate memory for a variable and return a pointer pointing to it.
     /// The default implementation places the allocations at the start of the function.
-    fn gen_var_alloc<'ctx, 'a>(
+    fn gen_var_alloc<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         ty: BasicTypeEnum<'ctx>,
+        name: Option<&str>,
     ) -> Result<PointerValue<'ctx>, String> {
-        gen_var(ctx, ty)
+        gen_var(ctx, ty, name)
+    }
+
+    /// Allocate memory for a variable and return a pointer pointing to it.
+    /// The default implementation places the allocations at the start of the function.
+    fn gen_array_var_alloc<'ctx>(
+        &mut self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: BasicTypeEnum<'ctx>,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Result<ArraySliceValue<'ctx>, String> {
+        gen_array_var(ctx, ty, size, name)
     }
 
     /// Return a pointer pointing to the target of the expression.
-    fn gen_store_target<'ctx, 'a>(
+    fn gen_store_target<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         pattern: &Expr<Option<Type>>,
-    ) -> Result<PointerValue<'ctx>, String>
+        name: Option<&str>,
+    ) -> Result<Option<PointerValue<'ctx>>, String>
     where
         Self: Sized,
     {
-        gen_store_target(self, ctx, pattern)
+        gen_store_target(self, ctx, pattern, name)
     }
 
     /// Generate code for an assignment expression.
-    fn gen_assign<'ctx, 'a>(
+    fn gen_assign<'ctx>(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         target: &Expr<Option<Type>>,
         value: ValueEnum<'ctx>,
+        value_ty: Type,
     ) -> Result<(), String>
     where
         Self: Sized,
     {
-        gen_assign(self, ctx, target, value)
+        gen_assign(self, ctx, target, value, value_ty)
+    }
+
+    /// Generate code for an assignment expression where LHS is a `"target_list"`.
+    ///
+    /// See <https://docs.python.org/3/reference/simple_stmts.html#assignment-statements>.
+    fn gen_assign_target_list<'ctx>(
+        &mut self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        targets: &Vec<Expr<Option<Type>>>,
+        value: ValueEnum<'ctx>,
+        value_ty: Type,
+    ) -> Result<(), String>
+    where
+        Self: Sized,
+    {
+        gen_assign_target_list(self, ctx, targets, value, value_ty)
+    }
+
+    /// Generate code for an item assignment.
+    ///
+    /// i.e., `target[key] = value`
+    fn gen_setitem<'ctx>(
+        &mut self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        target: &Expr<Option<Type>>,
+        key: &Expr<Option<Type>>,
+        value: ValueEnum<'ctx>,
+        value_ty: Type,
+    ) -> Result<(), String>
+    where
+        Self: Sized,
+    {
+        gen_setitem(self, ctx, target, key, value, value_ty)
     }
 
     /// Generate code for a while expression.
     /// Return true if the while loop must early return
-    fn gen_while<'ctx, 'a>(
+    fn gen_while(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'_, '_>,
         stmt: &Stmt<Option<Type>>,
     ) -> Result<(), String>
     where
@@ -129,11 +181,11 @@ pub trait CodeGenerator {
         gen_while(self, ctx, stmt)
     }
 
-    /// Generate code for a while expression.
-    /// Return true if the while loop must early return
-    fn gen_for<'ctx, 'a>(
+    /// Generate code for a for expression.
+    /// Return true if the for loop must early return
+    fn gen_for(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'_, '_>,
         stmt: &Stmt<Option<Type>>,
     ) -> Result<(), String>
     where
@@ -144,9 +196,9 @@ pub trait CodeGenerator {
 
     /// Generate code for an if expression.
     /// Return true if the statement must early return
-    fn gen_if<'ctx, 'a>(
+    fn gen_if(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'_, '_>,
         stmt: &Stmt<Option<Type>>,
     ) -> Result<(), String>
     where
@@ -155,9 +207,9 @@ pub trait CodeGenerator {
         gen_if(self, ctx, stmt)
     }
 
-    fn gen_with<'ctx, 'a>(
+    fn gen_with(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'_, '_>,
         stmt: &Stmt<Option<Type>>,
     ) -> Result<(), String>
     where
@@ -167,10 +219,11 @@ pub trait CodeGenerator {
     }
 
     /// Generate code for a statement
+    ///
     /// Return true if the statement must early return
-    fn gen_stmt<'ctx, 'a>(
+    fn gen_stmt(
         &mut self,
-        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ctx: &mut CodeGenContext<'_, '_>,
         stmt: &Stmt<Option<Type>>,
     ) -> Result<(), String>
     where
@@ -178,6 +231,36 @@ pub trait CodeGenerator {
     {
         gen_stmt(self, ctx, stmt)
     }
+
+    /// Generates code for a block statement.
+    fn gen_block<'a, I: Iterator<Item = &'a Stmt<Option<Type>>>>(
+        &mut self,
+        ctx: &mut CodeGenContext<'_, '_>,
+        stmts: I,
+    ) -> Result<(), String>
+    where
+        Self: Sized,
+    {
+        gen_block(self, ctx, stmts)
+    }
+
+    /// See [`bool_to_i1`].
+    fn bool_to_i1<'ctx>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        bool_value: IntValue<'ctx>,
+    ) -> IntValue<'ctx> {
+        bool_to_i1(&ctx.builder, bool_value)
+    }
+
+    /// See [`bool_to_i8`].
+    fn bool_to_i8<'ctx>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        bool_value: IntValue<'ctx>,
+    ) -> IntValue<'ctx> {
+        bool_to_i8(&ctx.builder, ctx.ctx, bool_value)
+    }
 }
 
 pub struct DefaultCodeGenerator {
@@ -186,17 +269,20 @@ pub struct DefaultCodeGenerator {
 }
 
 impl DefaultCodeGenerator {
+    #[must_use]
     pub fn new(name: String, size_t: u32) -> DefaultCodeGenerator {
-        assert!(size_t == 32 || size_t == 64);
+        assert!(matches!(size_t, 32 | 64));
         DefaultCodeGenerator { name, size_t }
     }
 }
 
 impl CodeGenerator for DefaultCodeGenerator {
+    /// Returns the name for this [`CodeGenerator`].
     fn get_name(&self) -> &str {
         &self.name
     }
 
+    /// Returns an LLVM integer type representing `size_t`.
     fn get_size_type<'ctx>(&self, ctx: &'ctx Context) -> IntType<'ctx> {
         // it should be unsigned, but we don't really need unsigned and this could save us from
         // having to do a bit cast...

nac3core/src/codegen/irrt/irrt.c

@@ -1,140 +0,0 @@
-typedef _ExtInt(8) int8_t;
-typedef unsigned _ExtInt(8) uint8_t;
-typedef _ExtInt(32) int32_t;
-typedef unsigned _ExtInt(32) uint32_t;
-typedef _ExtInt(64) int64_t;
-typedef unsigned _ExtInt(64) uint64_t;
-
-# define MAX(a, b) (a > b ? a : b)
-# define MIN(a, b) (a > b ? b : a)
-
-// adapted from GNU Scientific Library: https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
-// need to make sure `exp >= 0` before calling this function
-#define DEF_INT_EXP(T) T __nac3_int_exp_##T( \
-    T base, \
-    T exp \
-) { \
-    T res = (T)1; \
-    /* repeated squaring method */ \
-    do { \
-       if (exp & 1) res *= base;  /* for n odd */ \
-       exp >>= 1; \
-       base *= base; \
-    } while (exp); \
-    return res; \
-} \
-
-DEF_INT_EXP(int32_t)
-DEF_INT_EXP(int64_t)
-DEF_INT_EXP(uint32_t)
-DEF_INT_EXP(uint64_t)
-
-
-int32_t __nac3_slice_index_bound(int32_t i, const int32_t len) {
-    if (i < 0) {
-        i = len + i;
-    }
-    if (i < 0) {
-        return 0;
-    } else if (i > len) {
-        return len;
-    }
-    return i;
-}
-
-int32_t __nac3_range_slice_len(const int32_t start, const int32_t end, const int32_t step) {
-    int32_t diff = end - start;
-    if (diff > 0 && step > 0) {
-        return ((diff - 1) / step) + 1;
-    } else if (diff < 0 && step < 0) {
-        return ((diff + 1) / step) + 1;
-    } else {
-        return 0;
-    }
-}
-
-// Handle list assignment and dropping part of the list when
-// both dest_step and src_step are +1.
-// - All the index must *not* be out-of-bound or negative,
-// - The end index is *inclusive*,
-// - The length of src and dest slice size should already
-// be checked: if dest.step == 1 then len(src) <= len(dest) else len(src) == len(dest)
-int32_t __nac3_list_slice_assign_var_size(
-    int32_t dest_start,
-    int32_t dest_end,
-    int32_t dest_step,
-    uint8_t *dest_arr,
-    int32_t dest_arr_len,
-    int32_t src_start,
-    int32_t src_end,
-    int32_t src_step,
-    uint8_t *src_arr,
-    int32_t src_arr_len,
-    const int32_t size
-) {
-    /* if dest_arr_len == 0, do nothing since we do not support extending list */
-    if (dest_arr_len == 0) return dest_arr_len;
-    /* if both step is 1, memmove directly, handle the dropping of the list, and shrink size */
-    if (src_step == dest_step && dest_step == 1) {
-        const int32_t src_len = (src_end >= src_start) ? (src_end - src_start + 1) : 0;
-        const int32_t dest_len = (dest_end >= dest_start) ? (dest_end - dest_start + 1) : 0;
-        if (src_len > 0) {
-            __builtin_memmove(
-                dest_arr + dest_start * size,
-                src_arr + src_start * size,
-                src_len * size
-            );
-        }
-        if (dest_len > 0) {
-            /* dropping */
-            __builtin_memmove(
-                dest_arr + (dest_start + src_len) * size,
-                dest_arr + (dest_end + 1) * size,
-                (dest_arr_len - dest_end - 1) * size
-            );
-        }
-        /* shrink size */
-        return dest_arr_len - (dest_len - src_len);
-    }
-    /* if two range overlaps, need alloca */
-    uint8_t need_alloca =
-        (dest_arr == src_arr)
-        && !(
-            MAX(dest_start, dest_end) < MIN(src_start, src_end)
-            || MAX(src_start, src_end) < MIN(dest_start, dest_end)
-        );
-    if (need_alloca) {
-        uint8_t *tmp = alloca(src_arr_len * size);
-        __builtin_memcpy(tmp, src_arr, src_arr_len * size);
-        src_arr = tmp;
-    }
-    int32_t src_ind = src_start;
-    int32_t dest_ind = dest_start;
-    for (;
-        (src_step > 0) ? (src_ind <= src_end) : (src_ind >= src_end);
-        src_ind += src_step, dest_ind += dest_step
-    ) {
-        /* for constant optimization */
-        if (size == 1) {
-            __builtin_memcpy(dest_arr + dest_ind, src_arr + src_ind, 1);
-        } else if (size == 4) {
-            __builtin_memcpy(dest_arr + dest_ind * 4, src_arr + src_ind * 4, 4);
-        } else if (size == 8) {
-            __builtin_memcpy(dest_arr + dest_ind * 8, src_arr + src_ind * 8, 8);
-        } else {
-            /* memcpy for var size, cannot overlap after previous alloca */
-            __builtin_memcpy(dest_arr + dest_ind * size, src_arr + src_ind * size, size);
-        }
-    }
-    /* only dest_step == 1 can we shrink the dest list. */
-    /* size should be ensured prior to calling this function */
-    if (dest_step == 1 && dest_end >= dest_start) {
-        __builtin_memmove(
-            dest_arr + dest_ind * size,
-            dest_arr + (dest_end + 1) * size,
-            (dest_arr_len - dest_end - 1) * size
-        );
-        return dest_arr_len - (dest_end - dest_ind) - 1;
-    }
-    return dest_arr_len;
-}

nac3core/src/codegen/irrt/list.rs

@@ -0,0 +1,174 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, CallSiteValue, IntValue},
+    AddressSpace, IntPredicate,
+};
+use itertools::Either;
+
+use super::calculate_len_for_slice_range;
+use crate::codegen::{
+    macros::codegen_unreachable,
+    values::{ArrayLikeValue, ListValue},
+    CodeGenContext, CodeGenerator,
+};
+
+/// This function handles 'end' **inclusively**.
+/// Order of tuples `assign_idx` and `value_idx` is ('start', 'end', 'step').
+/// Negative index should be handled before entering this function
+pub fn list_slice_assignment<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    ty: BasicTypeEnum<'ctx>,
+    dest_arr: ListValue<'ctx>,
+    dest_idx: (IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>),
+    src_arr: ListValue<'ctx>,
+    src_idx: (IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>),
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_pi8 = ctx.ctx.i8_type().ptr_type(AddressSpace::default());
+    let llvm_i32 = ctx.ctx.i32_type();
+
+    assert_eq!(dest_idx.0.get_type(), llvm_i32);
+    assert_eq!(dest_idx.1.get_type(), llvm_i32);
+    assert_eq!(dest_idx.2.get_type(), llvm_i32);
+    assert_eq!(src_idx.0.get_type(), llvm_i32);
+    assert_eq!(src_idx.1.get_type(), llvm_i32);
+    assert_eq!(src_idx.2.get_type(), llvm_i32);
+
+    let (fun_symbol, elem_ptr_type) = ("__nac3_list_slice_assign_var_size", llvm_pi8);
+    let slice_assign_fun = {
+        let ty_vec = vec![
+            llvm_i32.into(),      // dest start idx
+            llvm_i32.into(),      // dest end idx
+            llvm_i32.into(),      // dest step
+            elem_ptr_type.into(), // dest arr ptr
+            llvm_i32.into(),      // dest arr len
+            llvm_i32.into(),      // src start idx
+            llvm_i32.into(),      // src end idx
+            llvm_i32.into(),      // src step
+            elem_ptr_type.into(), // src arr ptr
+            llvm_i32.into(),      // src arr len
+            llvm_i32.into(),      // size
+        ];
+        ctx.module.get_function(fun_symbol).unwrap_or_else(|| {
+            let fn_t = llvm_i32.fn_type(ty_vec.as_slice(), false);
+            ctx.module.add_function(fun_symbol, fn_t, None)
+        })
+    };
+
+    let zero = llvm_i32.const_zero();
+    let one = llvm_i32.const_int(1, false);
+    let dest_arr_ptr = dest_arr.data().base_ptr(ctx, generator);
+    let dest_arr_ptr =
+        ctx.builder.build_pointer_cast(dest_arr_ptr, elem_ptr_type, "dest_arr_ptr_cast").unwrap();
+    let dest_len = dest_arr.load_size(ctx, Some("dest.len"));
+    let dest_len =
+        ctx.builder.build_int_truncate_or_bit_cast(dest_len, llvm_i32, "srclen32").unwrap();
+    let src_arr_ptr = src_arr.data().base_ptr(ctx, generator);
+    let src_arr_ptr =
+        ctx.builder.build_pointer_cast(src_arr_ptr, elem_ptr_type, "src_arr_ptr_cast").unwrap();
+    let src_len = src_arr.load_size(ctx, Some("src.len"));
+    let src_len =
+        ctx.builder.build_int_truncate_or_bit_cast(src_len, llvm_i32, "srclen32").unwrap();
+
+    // index in bound and positive should be done
+    // assert if dest.step == 1 then len(src) <= len(dest) else len(src) == len(dest), and
+    // throw exception if not satisfied
+    let src_end = ctx
+        .builder
+        .build_select(
+            ctx.builder.build_int_compare(IntPredicate::SLT, src_idx.2, zero, "is_neg").unwrap(),
+            ctx.builder.build_int_sub(src_idx.1, one, "e_min_one").unwrap(),
+            ctx.builder.build_int_add(src_idx.1, one, "e_add_one").unwrap(),
+            "final_e",
+        )
+        .map(BasicValueEnum::into_int_value)
+        .unwrap();
+    let dest_end = ctx
+        .builder
+        .build_select(
+            ctx.builder.build_int_compare(IntPredicate::SLT, dest_idx.2, zero, "is_neg").unwrap(),
+            ctx.builder.build_int_sub(dest_idx.1, one, "e_min_one").unwrap(),
+            ctx.builder.build_int_add(dest_idx.1, one, "e_add_one").unwrap(),
+            "final_e",
+        )
+        .map(BasicValueEnum::into_int_value)
+        .unwrap();
+    let src_slice_len =
+        calculate_len_for_slice_range(generator, ctx, src_idx.0, src_end, src_idx.2);
+    let dest_slice_len =
+        calculate_len_for_slice_range(generator, ctx, dest_idx.0, dest_end, dest_idx.2);
+    let src_eq_dest = ctx
+        .builder
+        .build_int_compare(IntPredicate::EQ, src_slice_len, dest_slice_len, "slice_src_eq_dest")
+        .unwrap();
+    let src_slt_dest = ctx
+        .builder
+        .build_int_compare(IntPredicate::SLT, src_slice_len, dest_slice_len, "slice_src_slt_dest")
+        .unwrap();
+    let dest_step_eq_one = ctx
+        .builder
+        .build_int_compare(
+            IntPredicate::EQ,
+            dest_idx.2,
+            dest_idx.2.get_type().const_int(1, false),
+            "slice_dest_step_eq_one",
+        )
+        .unwrap();
+    let cond_1 = ctx.builder.build_and(dest_step_eq_one, src_slt_dest, "slice_cond_1").unwrap();
+    let cond = ctx.builder.build_or(src_eq_dest, cond_1, "slice_cond").unwrap();
+    ctx.make_assert(
+        generator,
+        cond,
+        "0:ValueError",
+        "attempt to assign sequence of size {0} to slice of size {1} with step size {2}",
+        [Some(src_slice_len), Some(dest_slice_len), Some(dest_idx.2)],
+        ctx.current_loc,
+    );
+
+    let new_len = {
+        let args = vec![
+            dest_idx.0.into(),   // dest start idx
+            dest_idx.1.into(),   // dest end idx
+            dest_idx.2.into(),   // dest step
+            dest_arr_ptr.into(), // dest arr ptr
+            dest_len.into(),     // dest arr len
+            src_idx.0.into(),    // src start idx
+            src_idx.1.into(),    // src end idx
+            src_idx.2.into(),    // src step
+            src_arr_ptr.into(),  // src arr ptr
+            src_len.into(),      // src arr len
+            {
+                let s = match ty {
+                    BasicTypeEnum::FloatType(t) => t.size_of(),
+                    BasicTypeEnum::IntType(t) => t.size_of(),
+                    BasicTypeEnum::PointerType(t) => t.size_of(),
+                    BasicTypeEnum::StructType(t) => t.size_of().unwrap(),
+                    _ => codegen_unreachable!(ctx),
+                };
+                ctx.builder.build_int_truncate_or_bit_cast(s, llvm_i32, "size").unwrap()
+            }
+            .into(),
+        ];
+        ctx.builder
+            .build_call(slice_assign_fun, args.as_slice(), "slice_assign")
+            .map(CallSiteValue::try_as_basic_value)
+            .map(|v| v.map_left(BasicValueEnum::into_int_value))
+            .map(Either::unwrap_left)
+            .unwrap()
+    };
+
+    // update length
+    let need_update =
+        ctx.builder.build_int_compare(IntPredicate::NE, new_len, dest_len, "need_update").unwrap();
+    let current = ctx.builder.get_insert_block().unwrap().get_parent().unwrap();
+    let update_bb = ctx.ctx.append_basic_block(current, "update");
+    let cont_bb = ctx.ctx.append_basic_block(current, "cont");
+    ctx.builder.build_conditional_branch(need_update, update_bb, cont_bb).unwrap();
+    ctx.builder.position_at_end(update_bb);
+    let new_len =
+        ctx.builder.build_int_z_extend_or_bit_cast(new_len, llvm_usize, "new_len").unwrap();
+    dest_arr.store_size(ctx, generator, new_len);
+    ctx.builder.build_unconditional_branch(cont_bb).unwrap();
+    ctx.builder.position_at_end(cont_bb);
+}

nac3core/src/codegen/irrt/math.rs

@@ -0,0 +1,168 @@
+use inkwell::{
+    values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue},
+    IntPredicate,
+};
+use itertools::Either;
+
+use crate::codegen::{
+    macros::codegen_unreachable,
+    {CodeGenContext, CodeGenerator},
+};
+
+// repeated squaring method adapted from GNU Scientific Library:
+// https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
+pub fn integer_power<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    base: IntValue<'ctx>,
+    exp: IntValue<'ctx>,
+    signed: bool,
+) -> IntValue<'ctx> {
+    let symbol = match (base.get_type().get_bit_width(), exp.get_type().get_bit_width(), signed) {
+        (32, 32, true) => "__nac3_int_exp_int32_t",
+        (64, 64, true) => "__nac3_int_exp_int64_t",
+        (32, 32, false) => "__nac3_int_exp_uint32_t",
+        (64, 64, false) => "__nac3_int_exp_uint64_t",
+        _ => codegen_unreachable!(ctx),
+    };
+    let base_type = base.get_type();
+    let pow_fun = ctx.module.get_function(symbol).unwrap_or_else(|| {
+        let fn_type = base_type.fn_type(&[base_type.into(), base_type.into()], false);
+        ctx.module.add_function(symbol, fn_type, None)
+    });
+    // throw exception when exp < 0
+    let ge_zero = ctx
+        .builder
+        .build_int_compare(
+            IntPredicate::SGE,
+            exp,
+            exp.get_type().const_zero(),
+            "assert_int_pow_ge_0",
+        )
+        .unwrap();
+    ctx.make_assert(
+        generator,
+        ge_zero,
+        "0:ValueError",
+        "integer power must be positive or zero",
+        [None, None, None],
+        ctx.current_loc,
+    );
+    ctx.builder
+        .build_call(pow_fun, &[base.into(), exp.into()], "call_int_pow")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}
+
+/// Generates a call to `isinf` in IR. Returns an `i1` representing the result.
+pub fn call_isinf<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    v: FloatValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_i32 = ctx.ctx.i32_type();
+    let llvm_f64 = ctx.ctx.f64_type();
+
+    assert_eq!(v.get_type(), llvm_f64);
+
+    let intrinsic_fn = ctx.module.get_function("__nac3_isinf").unwrap_or_else(|| {
+        let fn_type = llvm_i32.fn_type(&[llvm_f64.into()], false);
+        ctx.module.add_function("__nac3_isinf", fn_type, None)
+    });
+
+    let ret = ctx
+        .builder
+        .build_call(intrinsic_fn, &[v.into()], "isinf")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap();
+
+    generator.bool_to_i1(ctx, ret)
+}
+
+/// Generates a call to `isnan` in IR. Returns an `i1` representing the result.
+pub fn call_isnan<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    v: FloatValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_i32 = ctx.ctx.i32_type();
+    let llvm_f64 = ctx.ctx.f64_type();
+
+    assert_eq!(v.get_type(), llvm_f64);
+
+    let intrinsic_fn = ctx.module.get_function("__nac3_isnan").unwrap_or_else(|| {
+        let fn_type = llvm_i32.fn_type(&[llvm_f64.into()], false);
+        ctx.module.add_function("__nac3_isnan", fn_type, None)
+    });
+
+    let ret = ctx
+        .builder
+        .build_call(intrinsic_fn, &[v.into()], "isnan")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap();
+
+    generator.bool_to_i1(ctx, ret)
+}
+
+/// Generates a call to `gamma` in IR. Returns an `f64` representing the result.
+pub fn call_gamma<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> FloatValue<'ctx> {
+    let llvm_f64 = ctx.ctx.f64_type();
+
+    assert_eq!(v.get_type(), llvm_f64);
+
+    let intrinsic_fn = ctx.module.get_function("__nac3_gamma").unwrap_or_else(|| {
+        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
+        ctx.module.add_function("__nac3_gamma", fn_type, None)
+    });
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[v.into()], "gamma")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_float_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}
+
+/// Generates a call to `gammaln` in IR. Returns an `f64` representing the result.
+pub fn call_gammaln<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> FloatValue<'ctx> {
+    let llvm_f64 = ctx.ctx.f64_type();
+
+    assert_eq!(v.get_type(), llvm_f64);
+
+    let intrinsic_fn = ctx.module.get_function("__nac3_gammaln").unwrap_or_else(|| {
+        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
+        ctx.module.add_function("__nac3_gammaln", fn_type, None)
+    });
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[v.into()], "gammaln")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_float_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}
+
+/// Generates a call to `j0` in IR. Returns an `f64` representing the result.
+pub fn call_j0<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> FloatValue<'ctx> {
+    let llvm_f64 = ctx.ctx.f64_type();
+
+    assert_eq!(v.get_type(), llvm_f64);
+
+    let intrinsic_fn = ctx.module.get_function("__nac3_j0").unwrap_or_else(|| {
+        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
+        ctx.module.add_function("__nac3_j0", fn_type, None)
+    });
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[v.into()], "j0")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_float_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}

nac3core/src/codegen/irrt/mod.rs

@@ -1,18 +1,31 @@
-use crate::typecheck::typedef::Type;
-
-use super::{CodeGenContext, CodeGenerator};
 use inkwell::{
     attributes::{Attribute, AttributeLoc},
     context::Context,
     memory_buffer::MemoryBuffer,
     module::Module,
-    types::{BasicTypeEnum, IntType},
-    values::{IntValue, PointerValue},
-    AddressSpace, IntPredicate,
+    values::{BasicValue, BasicValueEnum, IntValue},
+    IntPredicate,
 };
+
 use nac3parser::ast::Expr;
 
-pub fn load_irrt(ctx: &Context) -> Module {
+use super::{CodeGenContext, CodeGenerator};
+use crate::{symbol_resolver::SymbolResolver, typecheck::typedef::Type};
+pub use list::*;
+pub use math::*;
+pub use range::*;
+pub use slice::*;
+pub use string::*;
+
+mod list;
+mod math;
+pub mod ndarray;
+mod range;
+mod slice;
+mod string;
+
+#[must_use]
+pub fn load_irrt<'ctx>(ctx: &'ctx Context, symbol_resolver: &dyn SymbolResolver) -> Module<'ctx> {
     let bitcode_buf = MemoryBuffer::create_from_memory_range(
         include_bytes!(concat!(env!("OUT_DIR"), "/irrt.bc")),
         "irrt_bitcode_buffer",
@@ -28,57 +41,47 @@ pub fn load_irrt(ctx: &Context) -> Module {
         let function = irrt_mod.get_function(symbol).unwrap();
         function.add_attribute(AttributeLoc::Function, ctx.create_enum_attribute(inline_attr, 0));
     }
+
+    // Initialize all global `EXN_*` exception IDs in IRRT with the [`SymbolResolver`].
+    let exn_id_type = ctx.i32_type();
+    let errors = &[
+        ("EXN_INDEX_ERROR", "0:IndexError"),
+        ("EXN_VALUE_ERROR", "0:ValueError"),
+        ("EXN_ASSERTION_ERROR", "0:AssertionError"),
+        ("EXN_TYPE_ERROR", "0:TypeError"),
+    ];
+    for (irrt_name, symbol_name) in errors {
+        let exn_id = symbol_resolver.get_string_id(symbol_name);
+        let exn_id = exn_id_type.const_int(exn_id as u64, false).as_basic_value_enum();
+
+        let global = irrt_mod.get_global(irrt_name).unwrap_or_else(|| {
+            panic!("Exception symbol name '{irrt_name}' should exist in the IRRT LLVM module")
+        });
+        global.set_initializer(&exn_id);
+    }
+
     irrt_mod
 }
 
-// repeated squaring method adapted from GNU Scientific Library:
-// https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
-pub fn integer_power<'ctx, 'a>(
-    ctx: &mut CodeGenContext<'ctx, 'a>,
-    base: IntValue<'ctx>,
-    exp: IntValue<'ctx>,
-    signed: bool,
-) -> IntValue<'ctx> {
-    let symbol = match (base.get_type().get_bit_width(), exp.get_type().get_bit_width(), signed) {
-        (32, 32, true) => "__nac3_int_exp_int32_t",
-        (64, 64, true) => "__nac3_int_exp_int64_t",
-        (32, 32, false) => "__nac3_int_exp_uint32_t",
-        (64, 64, false) => "__nac3_int_exp_uint64_t",
-        _ => unreachable!(),
-    };
-    let base_type = base.get_type();
-    let pow_fun = ctx.module.get_function(symbol).unwrap_or_else(|| {
-        let fn_type = base_type.fn_type(&[base_type.into(), base_type.into()], false);
-        ctx.module.add_function(symbol, fn_type, None)
-    });
-    // TODO: throw exception when exp < 0
-    ctx.builder
-        .build_call(pow_fun, &[base.into(), exp.into()], "call_int_pow")
-        .try_as_basic_value()
-        .unwrap_left()
-        .into_int_value()
-}
-
-pub fn calculate_len_for_slice_range<'ctx, 'a>(
-    ctx: &mut CodeGenContext<'ctx, 'a>,
-    start: IntValue<'ctx>,
-    end: IntValue<'ctx>,
-    step: IntValue<'ctx>,
-) -> IntValue<'ctx> {
-    const SYMBOL: &str = "__nac3_range_slice_len";
-    let len_func = ctx.module.get_function(SYMBOL).unwrap_or_else(|| {
-        let i32_t = ctx.ctx.i32_type();
-        let fn_t = i32_t.fn_type(&[i32_t.into(), i32_t.into(), i32_t.into()], false);
-        ctx.module.add_function(SYMBOL, fn_t, None)
-    });
-
-    // TODO: assert step != 0, throw exception if not
-    ctx.builder
-        .build_call(len_func, &[start.into(), end.into(), step.into()], "calc_len")
-        .try_as_basic_value()
-        .left()
-        .unwrap()
-        .into_int_value()
+/// Returns the name of a function which contains variants for 32-bit and 64-bit `size_t`.
+///
+/// - When [`TypeContext::size_type`] is 32-bits, the function name is `fn_name}`.
+/// - When [`TypeContext::size_type`] is 64-bits, the function name is `{fn_name}64`.
+#[must_use]
+pub fn get_usize_dependent_function_name<G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'_, '_>,
+    name: &str,
+) -> String {
+    let mut name = name.to_owned();
+    match generator.get_size_type(ctx.ctx).get_bit_width() {
+        32 => {}
+        64 => name.push_str("64"),
+        bit_width => {
+            panic!("Unsupported int type bit width {bit_width}, must be either 32-bits or 64-bits")
+        }
+    }
+    name
 }
 
 /// NOTE: the output value of the end index of this function should be compared ***inclusively***,
@@ -121,210 +124,129 @@ pub fn calculate_len_for_slice_range<'ctx, 'a>(
 ///             ,step
 ///         )
 /// ```
-pub fn handle_slice_indices<'a, 'ctx, G: CodeGenerator>(
+pub fn handle_slice_indices<'ctx, G: CodeGenerator>(
     start: &Option<Box<Expr<Option<Type>>>>,
     end: &Option<Box<Expr<Option<Type>>>>,
     step: &Option<Box<Expr<Option<Type>>>>,
-    ctx: &mut CodeGenContext<'ctx, 'a>,
+    ctx: &mut CodeGenContext<'ctx, '_>,
     generator: &mut G,
-    list: PointerValue<'ctx>,
-) -> Result<(IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>), String> {
-    // TODO: throw exception when step is 0
-    let int32 = ctx.ctx.i32_type();
-    let zero = int32.const_zero();
-    let one = int32.const_int(1, false);
-    let length = ctx.build_gep_and_load(list, &[zero, one]).into_int_value();
-    let length = ctx.builder.build_int_truncate_or_bit_cast(length, int32, "leni32");
-    Ok(match (start, end, step) {
+    length: IntValue<'ctx>,
+) -> Result<Option<(IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>)>, String> {
+    let llvm_i32 = ctx.ctx.i32_type();
+
+    let zero = llvm_i32.const_zero();
+    let one = llvm_i32.const_int(1, false);
+    let length = ctx.builder.build_int_truncate_or_bit_cast(length, llvm_i32, "leni32").unwrap();
+    Ok(Some(match (start, end, step) {
         (s, e, None) => (
-            s.as_ref().map_or_else(
-                || Ok(int32.const_zero()),
-                |s| handle_slice_index_bound(s, ctx, generator, length),
-            )?,
+            if let Some(s) = s.as_ref() {
+                match handle_slice_index_bound(s, ctx, generator, length)? {
+                    Some(v) => v,
+                    None => return Ok(None),
+                }
+            } else {
+                llvm_i32.const_zero()
+            },
             {
-                let e = e.as_ref().map_or_else(
-                    || Ok(length),
-                    |e| handle_slice_index_bound(e, ctx, generator, length),
-                )?;
-                ctx.builder.build_int_sub(e, one, "final_end")
+                let e = if let Some(s) = e.as_ref() {
+                    match handle_slice_index_bound(s, ctx, generator, length)? {
+                        Some(v) => v,
+                        None => return Ok(None),
+                    }
+                } else {
+                    length
+                };
+                ctx.builder.build_int_sub(e, one, "final_end").unwrap()
             },
             one,
         ),
         (s, e, Some(step)) => {
-            let step = generator
-                .gen_expr(ctx, step)?
-                .unwrap()
-                .to_basic_value_enum(ctx, generator)?
-                .into_int_value();
-            let len_id = ctx.builder.build_int_sub(length, one, "lenmin1");
-            let neg = ctx.builder.build_int_compare(IntPredicate::SLT, step, zero, "step_is_neg");
+            let step = if let Some(v) = generator.gen_expr(ctx, step)? {
+                v.to_basic_value_enum(ctx, generator, ctx.primitives.int32)?.into_int_value()
+            } else {
+                return Ok(None);
+            };
+            // assert step != 0, throw exception if not
+            let not_zero = ctx
+                .builder
+                .build_int_compare(
+                    IntPredicate::NE,
+                    step,
+                    step.get_type().const_zero(),
+                    "range_step_ne",
+                )
+                .unwrap();
+            ctx.make_assert(
+                generator,
+                not_zero,
+                "0:ValueError",
+                "slice step cannot be zero",
+                [None, None, None],
+                ctx.current_loc,
+            );
+            let len_id = ctx.builder.build_int_sub(length, one, "lenmin1").unwrap();
+            let neg = ctx
+                .builder
+                .build_int_compare(IntPredicate::SLT, step, zero, "step_is_neg")
+                .unwrap();
             (
                 match s {
                     Some(s) => {
-                        let s = handle_slice_index_bound(s, ctx, generator, length)?;
+                        let Some(s) = handle_slice_index_bound(s, ctx, generator, length)? else {
+                            return Ok(None);
+                        };
                         ctx.builder
                             .build_select(
-                                ctx.builder.build_and(
-                                    ctx.builder.build_int_compare(
-                                        IntPredicate::EQ,
-                                        s,
-                                        length,
-                                        "s_eq_len",
-                                    ),
-                                    neg,
-                                    "should_minus_one",
-                                ),
-                                ctx.builder.build_int_sub(s, one, "s_min"),
+                                ctx.builder
+                                    .build_and(
+                                        ctx.builder
+                                            .build_int_compare(
+                                                IntPredicate::EQ,
+                                                s,
+                                                length,
+                                                "s_eq_len",
+                                            )
+                                            .unwrap(),
+                                        neg,
+                                        "should_minus_one",
+                                    )
+                                    .unwrap(),
+                                ctx.builder.build_int_sub(s, one, "s_min").unwrap(),
                                 s,
                                 "final_start",
                             )
-                            .into_int_value()
+                            .map(BasicValueEnum::into_int_value)
+                            .unwrap()
                     }
-                    None => ctx.builder.build_select(neg, len_id, zero, "stt").into_int_value(),
+                    None => ctx
+                        .builder
+                        .build_select(neg, len_id, zero, "stt")
+                        .map(BasicValueEnum::into_int_value)
+                        .unwrap(),
                 },
                 match e {
                     Some(e) => {
-                        let e = handle_slice_index_bound(e, ctx, generator, length)?;
+                        let Some(e) = handle_slice_index_bound(e, ctx, generator, length)? else {
+                            return Ok(None);
+                        };
                         ctx.builder
                             .build_select(
                                 neg,
-                                ctx.builder.build_int_add(e, one, "end_add_one"),
-                                ctx.builder.build_int_sub(e, one, "end_sub_one"),
+                                ctx.builder.build_int_add(e, one, "end_add_one").unwrap(),
+                                ctx.builder.build_int_sub(e, one, "end_sub_one").unwrap(),
                                 "final_end",
                             )
-                            .into_int_value()
+                            .map(BasicValueEnum::into_int_value)
+                            .unwrap()
                     }
-                    None => ctx.builder.build_select(neg, zero, len_id, "end").into_int_value(),
+                    None => ctx
+                        .builder
+                        .build_select(neg, zero, len_id, "end")
+                        .map(BasicValueEnum::into_int_value)
+                        .unwrap(),
                 },
                 step,
             )
         }
-    })
-}
-
-/// this function allows index out of range, since python
-/// allows index out of range in slice (`a = [1,2,3]; a[1:10] == [2,3]`).
-pub fn handle_slice_index_bound<'a, 'ctx, G: CodeGenerator>(
-    i: &Expr<Option<Type>>,
-    ctx: &mut CodeGenContext<'ctx, 'a>,
-    generator: &mut G,
-    length: IntValue<'ctx>,
-) -> Result<IntValue<'ctx>, String> {
-    const SYMBOL: &str = "__nac3_slice_index_bound";
-    let func = ctx.module.get_function(SYMBOL).unwrap_or_else(|| {
-        let i32_t = ctx.ctx.i32_type();
-        let fn_t = i32_t.fn_type(&[i32_t.into(), i32_t.into()], false);
-        ctx.module.add_function(SYMBOL, fn_t, None)
-    });
-
-    let i = generator.gen_expr(ctx, i)?.unwrap().to_basic_value_enum(ctx, generator)?;
-    Ok(ctx
-        .builder
-        .build_call(func, &[i.into(), length.into()], "bounded_ind")
-        .try_as_basic_value()
-        .left()
-        .unwrap()
-        .into_int_value())
-}
-
-/// This function handles 'end' **inclusively**.
-/// Order of tuples assign_idx and value_idx is ('start', 'end', 'step').
-/// Negative index should be handled before entering this function
-pub fn list_slice_assignment<'ctx, 'a>(
-    ctx: &mut CodeGenContext<'ctx, 'a>,
-    size_ty: IntType<'ctx>,
-    ty: BasicTypeEnum<'ctx>,
-    dest_arr: PointerValue<'ctx>,
-    dest_idx: (IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>),
-    src_arr: PointerValue<'ctx>,
-    src_idx: (IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>),
-) {
-    let int8_ptr = ctx.ctx.i8_type().ptr_type(AddressSpace::Generic);
-    let int32 = ctx.ctx.i32_type();
-    let (fun_symbol, elem_ptr_type) = ("__nac3_list_slice_assign_var_size", int8_ptr);
-    let slice_assign_fun = {
-        let ty_vec = vec![
-            int32.into(),         // dest start idx
-            int32.into(),         // dest end idx
-            int32.into(),         // dest step
-            elem_ptr_type.into(), // dest arr ptr
-            int32.into(),         // dest arr len
-            int32.into(),         // src start idx
-            int32.into(),         // src end idx
-            int32.into(),         // src step
-            elem_ptr_type.into(), // src arr ptr
-            int32.into(),         // src arr len
-            int32.into(),         // size
-        ];
-        ctx.module.get_function(fun_symbol).unwrap_or_else(|| {
-            let fn_t = int32.fn_type(ty_vec.as_slice(), false);
-            ctx.module.add_function(fun_symbol, fn_t, None)
-        })
-    };
-
-    let zero = int32.const_zero();
-    let one = int32.const_int(1, false);
-    let dest_arr_ptr = ctx.build_gep_and_load(dest_arr, &[zero, zero]);
-    let dest_arr_ptr = ctx.builder.build_pointer_cast(
-        dest_arr_ptr.into_pointer_value(),
-        elem_ptr_type,
-        "dest_arr_ptr_cast",
-    );
-    let dest_len = ctx.build_gep_and_load(dest_arr, &[zero, one]).into_int_value();
-    let dest_len = ctx.builder.build_int_truncate_or_bit_cast(dest_len, int32, "srclen32");
-    let src_arr_ptr = ctx.build_gep_and_load(src_arr, &[zero, zero]);
-    let src_arr_ptr = ctx.builder.build_pointer_cast(
-        src_arr_ptr.into_pointer_value(),
-        elem_ptr_type,
-        "src_arr_ptr_cast",
-    );
-    let src_len = ctx.build_gep_and_load(src_arr, &[zero, one]).into_int_value();
-    let src_len = ctx.builder.build_int_truncate_or_bit_cast(src_len, int32, "srclen32");
-
-    // index in bound and positive should be done
-    // TODO: assert if dest.step == 1 then len(src) <= len(dest) else len(src) == len(dest), and
-    // throw exception if not satisfied
-    let new_len = {
-        let args = vec![
-            dest_idx.0.into(),   // dest start idx
-            dest_idx.1.into(),   // dest end idx
-            dest_idx.2.into(),   // dest step
-            dest_arr_ptr.into(), // dest arr ptr
-            dest_len.into(),     // dest arr len
-            src_idx.0.into(),    // src start idx
-            src_idx.1.into(),    // src end idx
-            src_idx.2.into(),    // src step
-            src_arr_ptr.into(),  // src arr ptr
-            src_len.into(),      // src arr len
-            {
-                let s = match ty {
-                    BasicTypeEnum::FloatType(t) => t.size_of(),
-                    BasicTypeEnum::IntType(t) => t.size_of(),
-                    BasicTypeEnum::PointerType(t) => t.size_of(),
-                    BasicTypeEnum::StructType(t) => t.size_of().unwrap(),
-                    _ => unreachable!(),
-                };
-                ctx.builder.build_int_truncate_or_bit_cast(s, int32, "size")
-            }
-            .into(),
-        ];
-        ctx.builder
-            .build_call(slice_assign_fun, args.as_slice(), "slice_assign")
-            .try_as_basic_value()
-            .unwrap_left()
-            .into_int_value()
-    };
-    // update length
-    let need_update =
-        ctx.builder.build_int_compare(IntPredicate::NE, new_len, dest_len, "need_update");
-    let current = ctx.builder.get_insert_block().unwrap().get_parent().unwrap();
-    let update_bb = ctx.ctx.append_basic_block(current, "update");
-    let cont_bb = ctx.ctx.append_basic_block(current, "cont");
-    ctx.builder.build_conditional_branch(need_update, update_bb, cont_bb);
-    ctx.builder.position_at_end(update_bb);
-    let dest_len_ptr = unsafe { ctx.builder.build_gep(dest_arr, &[zero, one], "dest_len_ptr") };
-    let new_len = ctx.builder.build_int_z_extend_or_bit_cast(new_len, size_ty, "new_len");
-    ctx.builder.build_store(dest_len_ptr, new_len);
-    ctx.builder.build_unconditional_branch(cont_bb);
-    ctx.builder.position_at_end(cont_bb);
+    }))
 }

nac3core/src/codegen/irrt/ndarray/array.rs

@@ -0,0 +1,80 @@
+use inkwell::{types::BasicTypeEnum, values::IntValue};
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    values::{ndarray::NDArrayValue, ListValue, ProxyValue, TypedArrayLikeAccessor},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_array_set_and_validate_list_shape`.
+///
+/// Deduces the target shape of the `ndarray` from the provided `list`, raising an exception if
+/// there is any issue with the resultant `shape`.
+///
+/// `shape` must be pre-allocated by the caller of this function to `[usize; ndims]`, and must be
+/// initialized to all `-1`s.
+pub fn call_nac3_ndarray_array_set_and_validate_list_shape<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    list: ListValue<'ctx>,
+    ndims: IntValue<'ctx>,
+    shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    assert_eq!(list.get_type().element_type().unwrap(), ctx.ctx.i8_type().into());
+    assert_eq!(ndims.get_type(), llvm_usize);
+    assert_eq!(
+        BasicTypeEnum::try_from(shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(
+        generator,
+        ctx,
+        "__nac3_ndarray_array_set_and_validate_list_shape",
+    );
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[list.as_base_value().into(), ndims.into(), shape.base_ptr(ctx, generator).into()],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_array_write_list_to_array`.
+///
+/// Copies the contents stored in `list` into `ndarray`.
+///
+/// The `ndarray` must fulfill the following preconditions:
+///
+/// - `ndarray.itemsize`: Must be initialized.
+/// - `ndarray.ndims`: Must be initialized.
+/// - `ndarray.shape`: Must be initialized.
+/// - `ndarray.data`: Must be allocated and contiguous.
+pub fn call_nac3_ndarray_array_write_list_to_array<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    list: ListValue<'ctx>,
+    ndarray: NDArrayValue<'ctx>,
+) {
+    assert_eq!(list.get_type().element_type().unwrap(), ctx.ctx.i8_type().into());
+
+    let name = get_usize_dependent_function_name(
+        generator,
+        ctx,
+        "__nac3_ndarray_array_write_list_to_array",
+    );
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[list.as_base_value().into(), ndarray.as_base_value().into()],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/ndarray/basic.rs

@@ -0,0 +1,310 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, IntValue, PointerValue},
+    AddressSpace,
+};
+
+use crate::codegen::{
+    expr::{create_and_call_function, infer_and_call_function},
+    irrt::get_usize_dependent_function_name,
+    types::ProxyType,
+    values::{ndarray::NDArrayValue, ProxyValue, TypedArrayLikeAccessor},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_util_assert_shape_no_negative`.
+///
+/// Assets that `shape` does not contain negative dimensions.
+pub fn call_nac3_ndarray_util_assert_shape_no_negative<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+
+    assert_eq!(
+        BasicTypeEnum::try_from(shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(
+        generator,
+        ctx,
+        "__nac3_ndarray_util_assert_shape_no_negative",
+    );
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[
+            (llvm_usize.into(), shape.size(ctx, generator).into()),
+            (llvm_pusize.into(), shape.base_ptr(ctx, generator).into()),
+        ],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_util_assert_shape_output_shape_same`.
+///
+/// Asserts that `ndarray_shape` and `output_shape` are the same in the context of writing output to
+/// an `ndarray`.
+pub fn call_nac3_ndarray_util_assert_output_shape_same<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    output_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+
+    assert_eq!(
+        BasicTypeEnum::try_from(ndarray_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(output_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(
+        generator,
+        ctx,
+        "__nac3_ndarray_util_assert_output_shape_same",
+    );
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[
+            (llvm_usize.into(), ndarray_shape.size(ctx, generator).into()),
+            (llvm_pusize.into(), ndarray_shape.base_ptr(ctx, generator).into()),
+            (llvm_usize.into(), output_shape.size(ctx, generator).into()),
+            (llvm_pusize.into(), output_shape.base_ptr(ctx, generator).into()),
+        ],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_size`.
+///
+/// Returns a [`usize`][CodeGenerator::get_size_type] value of the number of elements of an
+/// `ndarray`, corresponding to the value of `ndarray.size`.
+pub fn call_nac3_ndarray_size<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_size");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[(llvm_ndarray.into(), ndarray.as_base_value().into())],
+        Some("size"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_nbytes`.
+///
+/// Returns a [`usize`][CodeGenerator::get_size_type] value of the number of bytes consumed by the
+/// data of the `ndarray`, corresponding to the value of `ndarray.nbytes`.
+pub fn call_nac3_ndarray_nbytes<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_nbytes");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[(llvm_ndarray.into(), ndarray.as_base_value().into())],
+        Some("nbytes"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_len`.
+///
+/// Returns a [`usize`][CodeGenerator::get_size_type] value of the size of the topmost dimension of
+/// the `ndarray`, corresponding to the value of `ndarray.__len__`.
+pub fn call_nac3_ndarray_len<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_len");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[(llvm_ndarray.into(), ndarray.as_base_value().into())],
+        Some("len"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_is_c_contiguous`.
+///
+/// Returns an `i1` value indicating whether the `ndarray` is C-contiguous.
+pub fn call_nac3_ndarray_is_c_contiguous<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_i1 = ctx.ctx.bool_type();
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_is_c_contiguous");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_i1.into()),
+        &[(llvm_ndarray.into(), ndarray.as_base_value().into())],
+        Some("is_c_contiguous"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_get_nth_pelement`.
+///
+/// Returns a [`PointerValue`] to the `index`-th flattened element of the `ndarray`.
+pub fn call_nac3_ndarray_get_nth_pelement<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+    index: IntValue<'ctx>,
+) -> PointerValue<'ctx> {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    assert_eq!(index.get_type(), llvm_usize);
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_get_nth_pelement");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_pi8.into()),
+        &[(llvm_ndarray.into(), ndarray.as_base_value().into()), (llvm_usize.into(), index.into())],
+        Some("pelement"),
+        None,
+    )
+    .map(BasicValueEnum::into_pointer_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_get_pelement_by_indices`.
+///
+/// `indices` must have the same number of elements as the number of dimensions in `ndarray`.
+///
+/// Returns a [`PointerValue`] to the element indexed by `indices`.
+pub fn call_nac3_ndarray_get_pelement_by_indices<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+    indices: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) -> PointerValue<'ctx> {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    assert_eq!(
+        BasicTypeEnum::try_from(indices.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name =
+        get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_get_pelement_by_indices");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_pi8.into()),
+        &[
+            (llvm_ndarray.into(), ndarray.as_base_value().into()),
+            (llvm_pusize.into(), indices.base_ptr(ctx, generator).into()),
+        ],
+        Some("pelement"),
+        None,
+    )
+    .map(BasicValueEnum::into_pointer_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_set_strides_by_shape`.
+///
+/// Sets `ndarray.strides` assuming that `ndarray.shape` is C-contiguous.
+pub fn call_nac3_ndarray_set_strides_by_shape<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) {
+    let llvm_ndarray = ndarray.get_type().as_base_type();
+
+    let name =
+        get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_set_strides_by_shape");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[(llvm_ndarray.into(), ndarray.as_base_value().into())],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_copy_data`.
+///
+/// Copies all elements from `src_ndarray` to `dst_ndarray` using their flattened views. The number
+/// of elements in `src_ndarray` must be greater than or equal to the number of elements in
+/// `dst_ndarray`.
+pub fn call_nac3_ndarray_copy_data<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    src_ndarray: NDArrayValue<'ctx>,
+    dst_ndarray: NDArrayValue<'ctx>,
+) {
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_copy_data");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[src_ndarray.as_base_value().into(), dst_ndarray.as_base_value().into()],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/ndarray/broadcast.rs

@@ -0,0 +1,82 @@
+use inkwell::values::IntValue;
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    types::{ndarray::ShapeEntryType, ProxyType},
+    values::{
+        ndarray::NDArrayValue, ArrayLikeValue, ArraySliceValue, ProxyValue, TypedArrayLikeAccessor,
+        TypedArrayLikeMutator,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_broadcast_to`.
+///
+/// Attempts to broadcast `src_ndarray` to the new shape defined by `dst_ndarray`.
+///
+/// `dst_ndarray` must meet the following preconditions:
+///
+/// - `dst_ndarray.ndims` must be initialized and matching the length of `dst_ndarray.shape`.
+/// - `dst_ndarray.shape` must be initialized and contains the target broadcast shape.
+/// - `dst_ndarray.strides` must be allocated and may contain uninitialized values.
+pub fn call_nac3_ndarray_broadcast_to<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    src_ndarray: NDArrayValue<'ctx>,
+    dst_ndarray: NDArrayValue<'ctx>,
+) {
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_broadcast_to");
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[src_ndarray.as_base_value().into(), dst_ndarray.as_base_value().into()],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_broadcast_shapes`.
+///
+/// Attempts to calculate the resultant shape from broadcasting all shapes in `shape_entries`,
+/// writing the result to `dst_shape`.
+pub fn call_nac3_ndarray_broadcast_shapes<'ctx, G, Shape>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    num_shape_entries: IntValue<'ctx>,
+    shape_entries: ArraySliceValue<'ctx>,
+    dst_ndims: IntValue<'ctx>,
+    dst_shape: &Shape,
+) where
+    G: CodeGenerator + ?Sized,
+    Shape: TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>
+        + TypedArrayLikeMutator<'ctx, G, IntValue<'ctx>>,
+{
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    assert_eq!(num_shape_entries.get_type(), llvm_usize);
+    assert!(ShapeEntryType::is_type(
+        generator,
+        ctx.ctx,
+        shape_entries.base_ptr(ctx, generator).get_type()
+    )
+    .is_ok());
+    assert_eq!(dst_ndims.get_type(), llvm_usize);
+    assert_eq!(dst_shape.element_type(ctx, generator), llvm_usize.into());
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_broadcast_shapes");
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            num_shape_entries.into(),
+            shape_entries.base_ptr(ctx, generator).into(),
+            dst_ndims.into(),
+            dst_shape.base_ptr(ctx, generator).into(),
+        ],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/ndarray/indexing.rs

@@ -0,0 +1,34 @@
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    values::{ndarray::NDArrayValue, ArrayLikeValue, ArraySliceValue, ProxyValue},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_index`.
+///
+/// Performs [basic indexing](https://numpy.org/doc/stable/user/basics.indexing.html#basic-indexing)
+/// on `src_ndarray` using `indices`, writing the result to `dst_ndarray`, corresponding to the
+/// operation `dst_ndarray = src_ndarray[indices]`.
+pub fn call_nac3_ndarray_index<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    indices: ArraySliceValue<'ctx>,
+    src_ndarray: NDArrayValue<'ctx>,
+    dst_ndarray: NDArrayValue<'ctx>,
+) {
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_index");
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            indices.size(ctx, generator).into(),
+            indices.base_ptr(ctx, generator).into(),
+            src_ndarray.as_base_value().into(),
+            dst_ndarray.as_base_value().into(),
+        ],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/ndarray/iter.rs

@@ -0,0 +1,86 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, IntValue},
+    AddressSpace,
+};
+
+use crate::codegen::{
+    expr::{create_and_call_function, infer_and_call_function},
+    irrt::get_usize_dependent_function_name,
+    types::ProxyType,
+    values::{
+        ndarray::{NDArrayValue, NDIterValue},
+        ProxyValue, TypedArrayLikeAccessor,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_nditer_initialize`.
+///
+/// Initializes the `iter` object.
+pub fn call_nac3_nditer_initialize<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    iter: NDIterValue<'ctx>,
+    ndarray: NDArrayValue<'ctx>,
+    indices: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+
+    assert_eq!(
+        BasicTypeEnum::try_from(indices.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_nditer_initialize");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            (iter.get_type().as_base_type().into(), iter.as_base_value().into()),
+            (ndarray.get_type().as_base_type().into(), ndarray.as_base_value().into()),
+            (llvm_pusize.into(), indices.base_ptr(ctx, generator).into()),
+        ],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_nditer_initialize_has_element`.
+///
+/// Returns an `i1` value indicating whether there are elements left to traverse for the `iter`
+/// object.
+pub fn call_nac3_nditer_has_element<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    iter: NDIterValue<'ctx>,
+) -> IntValue<'ctx> {
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_nditer_has_element");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        Some(ctx.ctx.bool_type().into()),
+        &[iter.as_base_value().into()],
+        None,
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_nditer_next`.
+///
+/// Moves `iter` to point to the next element.
+pub fn call_nac3_nditer_next<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    iter: NDIterValue<'ctx>,
+) {
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_nditer_next");
+
+    infer_and_call_function(ctx, &name, None, &[iter.as_base_value().into()], None, None);
+}

nac3core/src/codegen/irrt/ndarray/matmul.rs

@@ -0,0 +1,66 @@
+use inkwell::{types::BasicTypeEnum, values::IntValue};
+
+use crate::codegen::{
+    expr::infer_and_call_function, irrt::get_usize_dependent_function_name,
+    values::TypedArrayLikeAccessor, CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_matmul_calculate_shapes`.
+///
+/// Calculates the broadcasted shapes for `a`, `b`, and the `ndarray` holding the final values of
+/// `a @ b`.
+#[allow(clippy::too_many_arguments)]
+pub fn call_nac3_ndarray_matmul_calculate_shapes<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    a_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    b_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    final_ndims: IntValue<'ctx>,
+    new_a_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    new_b_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    dst_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    assert_eq!(
+        BasicTypeEnum::try_from(a_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(b_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(new_a_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(new_b_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(dst_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name =
+        get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_matmul_calculate_shapes");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            a_shape.size(ctx, generator).into(),
+            a_shape.base_ptr(ctx, generator).into(),
+            b_shape.size(ctx, generator).into(),
+            b_shape.base_ptr(ctx, generator).into(),
+            final_ndims.into(),
+            new_a_shape.base_ptr(ctx, generator).into(),
+            new_b_shape.base_ptr(ctx, generator).into(),
+            dst_shape.base_ptr(ctx, generator).into(),
+        ],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/ndarray/mod.rs

@@ -0,0 +1,17 @@
+pub use array::*;
+pub use basic::*;
+pub use broadcast::*;
+pub use indexing::*;
+pub use iter::*;
+pub use matmul::*;
+pub use reshape::*;
+pub use transpose::*;
+
+mod array;
+mod basic;
+mod broadcast;
+mod indexing;
+mod iter;
+mod matmul;
+mod reshape;
+mod transpose;

nac3core/src/codegen/irrt/ndarray/reshape.rs

@@ -0,0 +1,40 @@
+use inkwell::values::IntValue;
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    values::{ArrayLikeValue, ArraySliceValue},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_reshape_resolve_and_check_new_shape`.
+///
+/// Resolves unknown dimensions in `new_shape` for `numpy.reshape(<ndarray>, new_shape)`, raising an
+/// assertion if multiple dimensions are unknown (`-1`).
+pub fn call_nac3_ndarray_reshape_resolve_and_check_new_shape<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    size: IntValue<'ctx>,
+    new_ndims: IntValue<'ctx>,
+    new_shape: ArraySliceValue<'ctx>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    assert_eq!(size.get_type(), llvm_usize);
+    assert_eq!(new_ndims.get_type(), llvm_usize);
+    assert_eq!(new_shape.element_type(ctx, generator), llvm_usize.into());
+
+    let name = get_usize_dependent_function_name(
+        generator,
+        ctx,
+        "__nac3_ndarray_reshape_resolve_and_check_new_shape",
+    );
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[size.into(), new_ndims.into(), new_shape.base_ptr(ctx, generator).into()],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/ndarray/transpose.rs

@@ -0,0 +1,48 @@
+use inkwell::{values::IntValue, AddressSpace};
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    values::{ndarray::NDArrayValue, ProxyValue, TypedArrayLikeAccessor},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_transpose`.
+///
+/// Creates a transpose view of `src_ndarray` and writes the result to `dst_ndarray`.
+///
+/// `dst_ndarray` must fulfill the following preconditions:
+///
+/// - `dst_ndarray.ndims` must be initialized and must be equal to `src_ndarray.ndims`.
+/// - `dst_ndarray.shape` must be allocated and may contain uninitialized values.
+/// - `dst_ndarray.strides` must be allocated and may contain uninitialized values.
+pub fn call_nac3_ndarray_transpose<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    src_ndarray: NDArrayValue<'ctx>,
+    dst_ndarray: NDArrayValue<'ctx>,
+    axes: Option<&impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>>,
+) {
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    assert!(axes.is_none_or(|axes| axes.size(ctx, generator).get_type() == llvm_usize));
+    assert!(axes.is_none_or(|axes| axes.element_type(ctx, generator) == llvm_usize.into()));
+
+    let name = get_usize_dependent_function_name(generator, ctx, "__nac3_ndarray_transpose");
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            src_ndarray.as_base_value().into(),
+            dst_ndarray.as_base_value().into(),
+            axes.map_or(llvm_usize.const_zero(), |axes| axes.size(ctx, generator)).into(),
+            axes.map_or(llvm_usize.ptr_type(AddressSpace::default()).const_null(), |axes| {
+                axes.base_ptr(ctx, generator)
+            })
+            .into(),
+        ],
+        None,
+        None,
+    );
+}

nac3core/src/codegen/irrt/range.rs

@@ -0,0 +1,56 @@
+use inkwell::{
+    values::{BasicValueEnum, CallSiteValue, IntValue},
+    IntPredicate,
+};
+use itertools::Either;
+
+use crate::codegen::{CodeGenContext, CodeGenerator};
+
+/// Invokes the `__nac3_range_slice_len` in IRRT.
+///
+/// - `start`: The `i32` start value for the slice.
+/// - `end`: The `i32` end value for the slice.
+/// - `step`: The `i32` step value for the slice.
+///
+/// Returns an `i32` value of the length of the slice.
+pub fn calculate_len_for_slice_range<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    start: IntValue<'ctx>,
+    end: IntValue<'ctx>,
+    step: IntValue<'ctx>,
+) -> IntValue<'ctx> {
+    const SYMBOL: &str = "__nac3_range_slice_len";
+
+    let llvm_i32 = ctx.ctx.i32_type();
+
+    assert_eq!(start.get_type(), llvm_i32);
+    assert_eq!(end.get_type(), llvm_i32);
+    assert_eq!(step.get_type(), llvm_i32);
+
+    let len_func = ctx.module.get_function(SYMBOL).unwrap_or_else(|| {
+        let fn_t = llvm_i32.fn_type(&[llvm_i32.into(), llvm_i32.into(), llvm_i32.into()], false);
+        ctx.module.add_function(SYMBOL, fn_t, None)
+    });
+
+    // assert step != 0, throw exception if not
+    let not_zero = ctx
+        .builder
+        .build_int_compare(IntPredicate::NE, step, step.get_type().const_zero(), "range_step_ne")
+        .unwrap();
+    ctx.make_assert(
+        generator,
+        not_zero,
+        "0:ValueError",
+        "step must not be zero",
+        [None, None, None],
+        ctx.current_loc,
+    );
+
+    ctx.builder
+        .build_call(len_func, &[start.into(), end.into(), step.into()], "calc_len")
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}

nac3core/src/codegen/irrt/slice.rs

@@ -0,0 +1,39 @@
+use inkwell::values::{BasicValueEnum, CallSiteValue, IntValue};
+use itertools::Either;
+
+use nac3parser::ast::Expr;
+
+use crate::{
+    codegen::{CodeGenContext, CodeGenerator},
+    typecheck::typedef::Type,
+};
+
+/// this function allows index out of range, since python
+/// allows index out of range in slice (`a = [1,2,3]; a[1:10] == [2,3]`).
+pub fn handle_slice_index_bound<'ctx, G: CodeGenerator>(
+    i: &Expr<Option<Type>>,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    generator: &mut G,
+    length: IntValue<'ctx>,
+) -> Result<Option<IntValue<'ctx>>, String> {
+    const SYMBOL: &str = "__nac3_slice_index_bound";
+    let func = ctx.module.get_function(SYMBOL).unwrap_or_else(|| {
+        let i32_t = ctx.ctx.i32_type();
+        let fn_t = i32_t.fn_type(&[i32_t.into(), i32_t.into()], false);
+        ctx.module.add_function(SYMBOL, fn_t, None)
+    });
+
+    let i = if let Some(v) = generator.gen_expr(ctx, i)? {
+        v.to_basic_value_enum(ctx, generator, i.custom.unwrap())?
+    } else {
+        return Ok(None);
+    };
+    Ok(Some(
+        ctx.builder
+            .build_call(func, &[i.into(), length.into()], "bounded_ind")
+            .map(CallSiteValue::try_as_basic_value)
+            .map(|v| v.map_left(BasicValueEnum::into_int_value))
+            .map(Either::unwrap_left)
+            .unwrap(),
+    ))
+}

nac3core/src/codegen/irrt/string.rs

@@ -0,0 +1,46 @@
+use inkwell::values::{BasicValueEnum, CallSiteValue, IntValue, PointerValue};
+use itertools::Either;
+
+use super::get_usize_dependent_function_name;
+use crate::codegen::{CodeGenContext, CodeGenerator};
+
+/// Generates a call to string equality comparison. Returns an `i1` representing whether the strings are equal.
+pub fn call_string_eq<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    str1_ptr: PointerValue<'ctx>,
+    str1_len: IntValue<'ctx>,
+    str2_ptr: PointerValue<'ctx>,
+    str2_len: IntValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_i1 = ctx.ctx.bool_type();
+
+    let func_name = get_usize_dependent_function_name(generator, ctx, "nac3_str_eq");
+
+    let func = ctx.module.get_function(&func_name).unwrap_or_else(|| {
+        ctx.module.add_function(
+            &func_name,
+            llvm_i1.fn_type(
+                &[
+                    str1_ptr.get_type().into(),
+                    str1_len.get_type().into(),
+                    str2_ptr.get_type().into(),
+                    str2_len.get_type().into(),
+                ],
+                false,
+            ),
+            None,
+        )
+    });
+
+    ctx.builder
+        .build_call(
+            func,
+            &[str1_ptr.into(), str1_len.into(), str2_ptr.into(), str2_len.into()],
+            "str_eq_call",
+        )
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}

nac3core/src/codegen/llvm_intrinsics.rs

@@ -0,0 +1,381 @@
+use inkwell::{
+    intrinsics::Intrinsic,
+    types::AnyTypeEnum::IntType,
+    values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue, PointerValue},
+    AddressSpace,
+};
+use itertools::Either;
+
+use super::CodeGenContext;
+
+/// Invokes the [`llvm.va_start`](https://llvm.org/docs/LangRef.html#llvm-va-start-intrinsic)
+/// intrinsic.
+pub fn call_va_start<'ctx>(ctx: &CodeGenContext<'ctx, '_>, arglist: PointerValue<'ctx>) {
+    const FN_NAME: &str = "llvm.va_start";
+
+    let intrinsic_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let llvm_void = ctx.ctx.void_type();
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        let fn_type = llvm_void.fn_type(&[llvm_p0i8.into()], false);
+
+        ctx.module.add_function(FN_NAME, fn_type, None)
+    });
+
+    ctx.builder.build_call(intrinsic_fn, &[arglist.into()], "").unwrap();
+}
+
+/// Invokes the [`llvm.va_end`](https://llvm.org/docs/LangRef.html#llvm-va-end-intrinsic)
+/// intrinsic.
+pub fn call_va_end<'ctx>(ctx: &CodeGenContext<'ctx, '_>, arglist: PointerValue<'ctx>) {
+    const FN_NAME: &str = "llvm.va_end";
+
+    let intrinsic_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let llvm_void = ctx.ctx.void_type();
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        let fn_type = llvm_void.fn_type(&[llvm_p0i8.into()], false);
+
+        ctx.module.add_function(FN_NAME, fn_type, None)
+    });
+
+    ctx.builder.build_call(intrinsic_fn, &[arglist.into()], "").unwrap();
+}
+
+/// Invokes the [`llvm.stacksave`](https://llvm.org/docs/LangRef.html#llvm-stacksave-intrinsic)
+/// intrinsic.
+pub fn call_stacksave<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    name: Option<&str>,
+) -> PointerValue<'ctx> {
+    const FN_NAME: &str = "llvm.stacksave";
+
+    let intrinsic_fn = Intrinsic::find(FN_NAME)
+        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[]))
+        .unwrap();
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[], name.unwrap_or_default())
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_pointer_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}
+
+/// Invokes the
+/// [`llvm.stackrestore`](https://llvm.org/docs/LangRef.html#llvm-stackrestore-intrinsic) intrinsic.
+///
+/// - `ptr`: The pointer storing the address to restore the stack to.
+pub fn call_stackrestore<'ctx>(ctx: &CodeGenContext<'ctx, '_>, ptr: PointerValue<'ctx>) {
+    const FN_NAME: &str = "llvm.stackrestore";
+
+    /*
+        SEE https://github.com/TheDan64/inkwell/issues/496
+
+        We want `llvm.stackrestore`, but the following would generate `llvm.stackrestore.p0i8`.
+        ```ignore
+        let intrinsic_fn = Intrinsic::find(FN_NAME)
+            .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_p0i8.into()]))
+            .unwrap();
+        ```
+
+        Temp workaround by manually declaring the intrinsic with the correct function name instead.
+    */
+    let intrinsic_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let llvm_void = ctx.ctx.void_type();
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        let fn_type = llvm_void.fn_type(&[llvm_p0i8.into()], false);
+
+        ctx.module.add_function(FN_NAME, fn_type, None)
+    });
+
+    ctx.builder.build_call(intrinsic_fn, &[ptr.into()], "").unwrap();
+}
+
+/// Invokes the [`llvm.memcpy`](https://llvm.org/docs/LangRef.html#llvm-memcpy-intrinsic) intrinsic.
+///
+/// * `dest` - The pointer to the destination. Must be a pointer to an integer type.
+/// * `src` - The pointer to the source. Must be a pointer to an integer type.
+/// * `len` - The number of bytes to copy.
+/// * `is_volatile` - Whether the `memcpy` operation should be `volatile`.
+pub fn call_memcpy<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    dest: PointerValue<'ctx>,
+    src: PointerValue<'ctx>,
+    len: IntValue<'ctx>,
+    is_volatile: IntValue<'ctx>,
+) {
+    const FN_NAME: &str = "llvm.memcpy";
+
+    debug_assert!(dest.get_type().get_element_type().is_int_type());
+    debug_assert!(src.get_type().get_element_type().is_int_type());
+    debug_assert_eq!(
+        dest.get_type().get_element_type().into_int_type().get_bit_width(),
+        src.get_type().get_element_type().into_int_type().get_bit_width(),
+    );
+    debug_assert!(matches!(len.get_type().get_bit_width(), 32 | 64));
+    debug_assert_eq!(is_volatile.get_type().get_bit_width(), 1);
+
+    let llvm_dest_t = dest.get_type();
+    let llvm_src_t = src.get_type();
+    let llvm_len_t = len.get_type();
+
+    let intrinsic_fn = Intrinsic::find(FN_NAME)
+        .and_then(|intrinsic| {
+            intrinsic.get_declaration(
+                &ctx.module,
+                &[llvm_dest_t.into(), llvm_src_t.into(), llvm_len_t.into()],
+            )
+        })
+        .unwrap();
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[dest.into(), src.into(), len.into(), is_volatile.into()], "")
+        .unwrap();
+}
+
+/// Invokes the `llvm.memcpy` intrinsic.
+///
+/// Unlike [`call_memcpy`], this function accepts any type of pointer value. If `dest` or `src` is
+/// not a pointer to an integer, the pointer(s) will be cast to `i8*` before invoking `memcpy`.
+pub fn call_memcpy_generic<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    dest: PointerValue<'ctx>,
+    src: PointerValue<'ctx>,
+    len: IntValue<'ctx>,
+    is_volatile: IntValue<'ctx>,
+) {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+
+    let dest_elem_t = dest.get_type().get_element_type();
+    let src_elem_t = src.get_type().get_element_type();
+
+    let dest = if matches!(dest_elem_t, IntType(t) if t.get_bit_width() == 8) {
+        dest
+    } else {
+        ctx.builder
+            .build_bit_cast(dest, llvm_p0i8, "")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap()
+    };
+    let src = if matches!(src_elem_t, IntType(t) if t.get_bit_width() == 8) {
+        src
+    } else {
+        ctx.builder
+            .build_bit_cast(src, llvm_p0i8, "")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap()
+    };
+
+    call_memcpy(ctx, dest, src, len, is_volatile);
+}
+
+/// Invokes the `llvm.memcpy` intrinsic.
+///
+/// Unlike [`call_memcpy`], this function accepts any type of pointer value. If `dest` or `src` is
+/// not a pointer to an integer, the pointer(s) will be cast to `i8*` before invoking `memcpy`.
+/// Moreover, `len` now refers to the number of elements to copy (rather than number of bytes to
+/// copy).
+pub fn call_memcpy_generic_array<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    dest: PointerValue<'ctx>,
+    src: PointerValue<'ctx>,
+    len: IntValue<'ctx>,
+    is_volatile: IntValue<'ctx>,
+) {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_sizeof_expr_t = llvm_i8.size_of().get_type();
+
+    let dest_elem_t = dest.get_type().get_element_type();
+    let src_elem_t = src.get_type().get_element_type();
+
+    let dest = if matches!(dest_elem_t, IntType(t) if t.get_bit_width() == 8) {
+        dest
+    } else {
+        ctx.builder
+            .build_bit_cast(dest, llvm_p0i8, "")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap()
+    };
+    let src = if matches!(src_elem_t, IntType(t) if t.get_bit_width() == 8) {
+        src
+    } else {
+        ctx.builder
+            .build_bit_cast(src, llvm_p0i8, "")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap()
+    };
+
+    let len = ctx.builder.build_int_z_extend_or_bit_cast(len, llvm_sizeof_expr_t, "").unwrap();
+    let len = ctx.builder.build_int_mul(len, src_elem_t.size_of().unwrap(), "").unwrap();
+
+    call_memcpy(ctx, dest, src, len, is_volatile);
+}
+
+/// Macro to find and generate build call for llvm intrinsic (body of llvm intrinsic function)
+///
+/// Arguments:
+/// * `$ctx:ident`: Reference to the current Code Generation Context
+/// * `$name:ident`: Optional name to be assigned to the llvm build call (Option<&str>)
+/// * `$llvm_name:literal`: Name of underlying llvm intrinsic function
+/// * `$map_fn:ident`: Mapping function to be applied on `BasicValue` (`BasicValue` -> Function Return Type).
+///   Use `BasicValueEnum::into_int_value` for Integer return type and
+///   `BasicValueEnum::into_float_value` for Float return type
+/// * `$llvm_ty:ident`: Type of first operand
+/// * `,($val:ident)*`: Comma separated list of operands
+macro_rules! generate_llvm_intrinsic_fn_body {
+    ($ctx:ident, $name:ident, $llvm_name:literal, $map_fn:expr, $llvm_ty:ident $(,$val:ident)*) => {{
+        const FN_NAME: &str = concat!("llvm.", $llvm_name);
+        let intrinsic_fn = Intrinsic::find(FN_NAME).and_then(|intrinsic| intrinsic.get_declaration(&$ctx.module, &[$llvm_ty.into()])).unwrap();
+        $ctx.builder.build_call(intrinsic_fn, &[$($val.into()),*],  $name.unwrap_or_default()).map(CallSiteValue::try_as_basic_value).map(|v| v.map_left($map_fn)).map(Either::unwrap_left).unwrap()
+    }};
+}
+
+/// Macro to generate the llvm intrinsic function using [`generate_llvm_intrinsic_fn_body`].
+///
+/// Arguments:
+/// * `float/int`: Indicates the return and argument type of the function
+/// * `$fn_name:ident`: The identifier of the rust function to be generated
+/// * `$llvm_name:literal`: Name of underlying llvm intrinsic function.
+///   Omit "llvm." prefix from the function name i.e. use "ceil" instead of "llvm.ceil"
+/// * `$val:ident`: The operand for unary operations
+/// * `$val1:ident`, `$val2:ident`: The operands for binary operations
+macro_rules! generate_llvm_intrinsic_fn {
+    ("float", $fn_name:ident, $llvm_name:literal, $val:ident) => {
+        #[doc = concat!("Invokes the [`", stringify!($llvm_name), "`](https://llvm.org/docs/LangRef.html#llvm-", stringify!($llvm_name), "-intrinsic) intrinsic." )]
+        pub fn $fn_name<'ctx> (
+            ctx: &CodeGenContext<'ctx, '_>,
+            $val: FloatValue<'ctx>,
+            name: Option<&str>,
+        ) -> FloatValue<'ctx> {
+            let llvm_ty = $val.get_type();
+            generate_llvm_intrinsic_fn_body!(ctx, name, $llvm_name, BasicValueEnum::into_float_value, llvm_ty, $val)
+        }
+    };
+    ("float", $fn_name:ident, $llvm_name:literal, $val1:ident, $val2:ident) => {
+        #[doc = concat!("Invokes the [`", stringify!($llvm_name), "`](https://llvm.org/docs/LangRef.html#llvm-", stringify!($llvm_name), "-intrinsic) intrinsic." )]
+        pub fn $fn_name<'ctx> (
+            ctx: &CodeGenContext<'ctx, '_>,
+            $val1: FloatValue<'ctx>,
+            $val2: FloatValue<'ctx>,
+            name: Option<&str>,
+        ) -> FloatValue<'ctx> {
+            debug_assert_eq!($val1.get_type(), $val2.get_type());
+            let llvm_ty = $val1.get_type();
+            generate_llvm_intrinsic_fn_body!(ctx, name, $llvm_name, BasicValueEnum::into_float_value, llvm_ty, $val1, $val2)
+        }
+    };
+    ("int", $fn_name:ident, $llvm_name:literal, $val1:ident, $val2:ident) => {
+        #[doc = concat!("Invokes the [`", stringify!($llvm_name), "`](https://llvm.org/docs/LangRef.html#llvm-", stringify!($llvm_name), "-intrinsic) intrinsic." )]
+        pub fn $fn_name<'ctx> (
+            ctx: &CodeGenContext<'ctx, '_>,
+            $val1: IntValue<'ctx>,
+            $val2: IntValue<'ctx>,
+            name: Option<&str>,
+        ) -> IntValue<'ctx> {
+            debug_assert_eq!($val1.get_type().get_bit_width(), $val2.get_type().get_bit_width());
+            let llvm_ty = $val1.get_type();
+            generate_llvm_intrinsic_fn_body!(ctx, name, $llvm_name, BasicValueEnum::into_int_value, llvm_ty, $val1, $val2)
+        }
+    };
+}
+
+/// Invokes the [`llvm.abs`](https://llvm.org/docs/LangRef.html#llvm-abs-intrinsic) intrinsic.
+///
+/// * `src` - The value for which the absolute value is to be returned.
+/// * `is_int_min_poison` - Whether `poison` is to be returned if `src` is `INT_MIN`.
+pub fn call_int_abs<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    src: IntValue<'ctx>,
+    is_int_min_poison: IntValue<'ctx>,
+    name: Option<&str>,
+) -> IntValue<'ctx> {
+    debug_assert_eq!(is_int_min_poison.get_type().get_bit_width(), 1);
+    debug_assert!(is_int_min_poison.is_const());
+
+    let src_type = src.get_type();
+    generate_llvm_intrinsic_fn_body!(
+        ctx,
+        name,
+        "abs",
+        BasicValueEnum::into_int_value,
+        src_type,
+        src,
+        is_int_min_poison
+    )
+}
+
+generate_llvm_intrinsic_fn!("int", call_int_smax, "smax", a, b);
+generate_llvm_intrinsic_fn!("int", call_int_smin, "smin", a, b);
+generate_llvm_intrinsic_fn!("int", call_int_umax, "umax", a, b);
+generate_llvm_intrinsic_fn!("int", call_int_umin, "umin", a, b);
+generate_llvm_intrinsic_fn!("int", call_expect, "expect", val, expected_val);
+
+generate_llvm_intrinsic_fn!("float", call_float_sqrt, "sqrt", val);
+generate_llvm_intrinsic_fn!("float", call_float_sin, "sin", val);
+generate_llvm_intrinsic_fn!("float", call_float_cos, "cos", val);
+generate_llvm_intrinsic_fn!("float", call_float_pow, "pow", val, power);
+generate_llvm_intrinsic_fn!("float", call_float_exp, "exp", val);
+generate_llvm_intrinsic_fn!("float", call_float_exp2, "exp2", val);
+generate_llvm_intrinsic_fn!("float", call_float_log, "log", val);
+generate_llvm_intrinsic_fn!("float", call_float_log10, "log10", val);
+generate_llvm_intrinsic_fn!("float", call_float_log2, "log2", val);
+generate_llvm_intrinsic_fn!("float", call_float_fabs, "fabs", src);
+generate_llvm_intrinsic_fn!("float", call_float_minnum, "minnum", val, power);
+generate_llvm_intrinsic_fn!("float", call_float_maxnum, "maxnum", val, power);
+generate_llvm_intrinsic_fn!("float", call_float_copysign, "copysign", mag, sgn);
+generate_llvm_intrinsic_fn!("float", call_float_floor, "floor", val);
+generate_llvm_intrinsic_fn!("float", call_float_ceil, "ceil", val);
+generate_llvm_intrinsic_fn!("float", call_float_round, "round", val);
+generate_llvm_intrinsic_fn!("float", call_float_rint, "rint", val);
+
+/// Invokes the [`llvm.powi`](https://llvm.org/docs/LangRef.html#llvm-powi-intrinsic) intrinsic.
+pub fn call_float_powi<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    val: FloatValue<'ctx>,
+    power: IntValue<'ctx>,
+    name: Option<&str>,
+) -> FloatValue<'ctx> {
+    const FN_NAME: &str = "llvm.powi";
+
+    let llvm_val_t = val.get_type();
+    let llvm_power_t = power.get_type();
+
+    let intrinsic_fn = Intrinsic::find(FN_NAME)
+        .and_then(|intrinsic| {
+            intrinsic.get_declaration(&ctx.module, &[llvm_val_t.into(), llvm_power_t.into()])
+        })
+        .unwrap();
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[val.into(), power.into()], name.unwrap_or_default())
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_float_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}
+
+/// Invokes the [`llvm.ctpop`](https://llvm.org/docs/LangRef.html#llvm-ctpop-intrinsic) intrinsic.
+pub fn call_int_ctpop<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    src: IntValue<'ctx>,
+    name: Option<&str>,
+) -> IntValue<'ctx> {
+    const FN_NAME: &str = "llvm.ctpop";
+
+    let llvm_src_t = src.get_type();
+
+    let intrinsic_fn = Intrinsic::find(FN_NAME)
+        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_src_t.into()]))
+        .unwrap();
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[src.into()], name.unwrap_or_default())
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}

nac3core/src/codegen/numpy.rs

@@ -0,0 +1,413 @@
+use inkwell::{
+    values::{BasicValue, BasicValueEnum, PointerValue},
+    IntPredicate,
+};
+
+use nac3parser::ast::StrRef;
+
+use super::{
+    macros::codegen_unreachable,
+    stmt::gen_for_callback,
+    types::ndarray::{NDArrayType, NDIterType},
+    values::{ndarray::shape::parse_numpy_int_sequence, ProxyValue},
+    CodeGenContext, CodeGenerator,
+};
+use crate::{
+    symbol_resolver::ValueEnum,
+    toplevel::{
+        helper::{arraylike_flatten_element_type, extract_ndims},
+        numpy::unpack_ndarray_var_tys,
+        DefinitionId,
+    },
+    typecheck::typedef::{FunSignature, Type},
+};
+
+/// Generates LLVM IR for `ndarray.empty`.
+pub fn gen_ndarray_empty<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert_eq!(args.len(), 1);
+
+    let shape_ty = fun.0.args[0].ty;
+    let shape_arg = args[0].1.clone().to_basic_value_enum(context, generator, shape_ty)?;
+
+    let (dtype, ndims) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+    let llvm_dtype = context.get_llvm_type(generator, dtype);
+    let ndims = extract_ndims(&context.unifier, ndims);
+
+    let shape = parse_numpy_int_sequence(generator, context, (shape_ty, shape_arg));
+
+    let ndarray = NDArrayType::new(generator, context.ctx, llvm_dtype, ndims)
+        .construct_numpy_empty(generator, context, &shape, None);
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.zeros`.
+pub fn gen_ndarray_zeros<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert_eq!(args.len(), 1);
+
+    let shape_ty = fun.0.args[0].ty;
+    let shape_arg = args[0].1.clone().to_basic_value_enum(context, generator, shape_ty)?;
+
+    let (dtype, ndims) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+    let llvm_dtype = context.get_llvm_type(generator, dtype);
+    let ndims = extract_ndims(&context.unifier, ndims);
+
+    let shape = parse_numpy_int_sequence(generator, context, (shape_ty, shape_arg));
+
+    let ndarray = NDArrayType::new(generator, context.ctx, llvm_dtype, ndims)
+        .construct_numpy_zeros(generator, context, dtype, &shape, None);
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.ones`.
+pub fn gen_ndarray_ones<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert_eq!(args.len(), 1);
+
+    let shape_ty = fun.0.args[0].ty;
+    let shape_arg = args[0].1.clone().to_basic_value_enum(context, generator, shape_ty)?;
+
+    let (dtype, ndims) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+    let llvm_dtype = context.get_llvm_type(generator, dtype);
+    let ndims = extract_ndims(&context.unifier, ndims);
+
+    let shape = parse_numpy_int_sequence(generator, context, (shape_ty, shape_arg));
+
+    let ndarray = NDArrayType::new(generator, context.ctx, llvm_dtype, ndims)
+        .construct_numpy_ones(generator, context, dtype, &shape, None);
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.full`.
+pub fn gen_ndarray_full<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert_eq!(args.len(), 2);
+
+    let shape_ty = fun.0.args[0].ty;
+    let shape_arg = args[0].1.clone().to_basic_value_enum(context, generator, shape_ty)?;
+    let fill_value_ty = fun.0.args[1].ty;
+    let fill_value_arg =
+        args[1].1.clone().to_basic_value_enum(context, generator, fill_value_ty)?;
+
+    let (dtype, ndims) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+    let llvm_dtype = context.get_llvm_type(generator, dtype);
+    let ndims = extract_ndims(&context.unifier, ndims);
+
+    let shape = parse_numpy_int_sequence(generator, context, (shape_ty, shape_arg));
+
+    let ndarray = NDArrayType::new(generator, context.ctx, llvm_dtype, ndims).construct_numpy_full(
+        generator,
+        context,
+        &shape,
+        fill_value_arg,
+        None,
+    );
+    Ok(ndarray.as_base_value())
+}
+
+pub fn gen_ndarray_array<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert!(matches!(args.len(), 1..=3));
+
+    let obj_ty = fun.0.args[0].ty;
+    let obj_arg = args[0].1.clone().to_basic_value_enum(context, generator, obj_ty)?;
+
+    let copy_arg = if let Some(arg) =
+        args.iter().find(|arg| arg.0.is_some_and(|name| name == fun.0.args[1].name))
+    {
+        let copy_ty = fun.0.args[1].ty;
+        arg.1.clone().to_basic_value_enum(context, generator, copy_ty)?
+    } else {
+        context.gen_symbol_val(
+            generator,
+            fun.0.args[1].default_value.as_ref().unwrap(),
+            fun.0.args[1].ty,
+        )
+    };
+
+    // The ndmin argument is ignored. We can simply force the ndarray's number of dimensions to be
+    // the `ndims` of the function return type.
+    let (_, ndims) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+    let ndims = extract_ndims(&context.unifier, ndims);
+
+    let copy = generator.bool_to_i1(context, copy_arg.into_int_value());
+    let ndarray = NDArrayType::from_unifier_type(generator, context, fun.0.ret)
+        .construct_numpy_array(generator, context, (obj_ty, obj_arg), copy, None)
+        .atleast_nd(generator, context, ndims);
+
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.eye`.
+pub fn gen_ndarray_eye<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert!(matches!(args.len(), 1..=3));
+
+    let nrows_ty = fun.0.args[0].ty;
+    let nrows_arg = args[0].1.clone().to_basic_value_enum(context, generator, nrows_ty)?;
+
+    let ncols_ty = fun.0.args[1].ty;
+    let ncols_arg = if let Some(arg) =
+        args.iter().find(|arg| arg.0.is_some_and(|name| name == fun.0.args[1].name))
+    {
+        arg.1.clone().to_basic_value_enum(context, generator, ncols_ty)
+    } else {
+        args[0].1.clone().to_basic_value_enum(context, generator, nrows_ty)
+    }?;
+
+    let offset_ty = fun.0.args[2].ty;
+    let offset_arg = if let Some(arg) =
+        args.iter().find(|arg| arg.0.is_some_and(|name| name == fun.0.args[2].name))
+    {
+        arg.1.clone().to_basic_value_enum(context, generator, offset_ty)
+    } else {
+        Ok(context.gen_symbol_val(
+            generator,
+            fun.0.args[2].default_value.as_ref().unwrap(),
+            offset_ty,
+        ))
+    }?;
+
+    let (dtype, _) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+
+    let llvm_usize = generator.get_size_type(context.ctx);
+    let llvm_dtype = context.get_llvm_type(generator, dtype);
+
+    let nrows = context
+        .builder
+        .build_int_s_extend_or_bit_cast(nrows_arg.into_int_value(), llvm_usize, "")
+        .unwrap();
+    let ncols = context
+        .builder
+        .build_int_s_extend_or_bit_cast(ncols_arg.into_int_value(), llvm_usize, "")
+        .unwrap();
+    let offset = context
+        .builder
+        .build_int_s_extend_or_bit_cast(offset_arg.into_int_value(), llvm_usize, "")
+        .unwrap();
+
+    let ndarray = NDArrayType::new(generator, context.ctx, llvm_dtype, 2)
+        .construct_numpy_eye(generator, context, dtype, nrows, ncols, offset, None);
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.identity`.
+pub fn gen_ndarray_identity<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_none());
+    assert_eq!(args.len(), 1);
+
+    let n_ty = fun.0.args[0].ty;
+    let n_arg = args[0].1.clone().to_basic_value_enum(context, generator, n_ty)?;
+
+    let (dtype, _) = unpack_ndarray_var_tys(&mut context.unifier, fun.0.ret);
+
+    let llvm_usize = generator.get_size_type(context.ctx);
+    let llvm_dtype = context.get_llvm_type(generator, dtype);
+
+    let n = context
+        .builder
+        .build_int_s_extend_or_bit_cast(n_arg.into_int_value(), llvm_usize, "")
+        .unwrap();
+    let ndarray = NDArrayType::new(generator, context.ctx, llvm_dtype, 2)
+        .construct_numpy_identity(generator, context, dtype, n, None);
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.copy`.
+pub fn gen_ndarray_copy<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    _fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<PointerValue<'ctx>, String> {
+    assert!(obj.is_some());
+    assert!(args.is_empty());
+
+    let this_ty = obj.as_ref().unwrap().0;
+    let this_arg =
+        obj.as_ref().unwrap().1.clone().to_basic_value_enum(context, generator, this_ty)?;
+
+    let this = NDArrayType::from_unifier_type(generator, context, this_ty)
+        .map_value(this_arg.into_pointer_value(), None);
+    let ndarray = this.make_copy(generator, context);
+    Ok(ndarray.as_base_value())
+}
+
+/// Generates LLVM IR for `ndarray.fill`.
+pub fn gen_ndarray_fill<'ctx>(
+    context: &mut CodeGenContext<'ctx, '_>,
+    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    fun: (&FunSignature, DefinitionId),
+    args: &[(Option<StrRef>, ValueEnum<'ctx>)],
+    generator: &mut dyn CodeGenerator,
+) -> Result<(), String> {
+    assert!(obj.is_some());
+    assert_eq!(args.len(), 1);
+
+    let this_ty = obj.as_ref().unwrap().0;
+    let this_arg =
+        obj.as_ref().unwrap().1.clone().to_basic_value_enum(context, generator, this_ty)?;
+    let value_ty = fun.0.args[0].ty;
+    let value_arg = args[0].1.clone().to_basic_value_enum(context, generator, value_ty)?;
+
+    let this = NDArrayType::from_unifier_type(generator, context, this_ty)
+        .map_value(this_arg.into_pointer_value(), None);
+    this.fill(generator, context, value_arg);
+    Ok(())
+}
+
+/// Generates LLVM IR for `ndarray.dot`.
+/// Calculate inner product of two vectors or literals
+/// For matrix multiplication use `np_matmul`
+///
+/// The input `NDArray` are flattened and treated as 1D
+/// The operation is equivalent to `np.dot(arr1.ravel(), arr2.ravel())`
+pub fn ndarray_dot<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    (x1_ty, x1): (Type, BasicValueEnum<'ctx>),
+    (x2_ty, x2): (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "ndarray_dot";
+
+    match (x1, x2) {
+        (BasicValueEnum::PointerValue(n1), BasicValueEnum::PointerValue(n2)) => {
+            let a = NDArrayType::from_unifier_type(generator, ctx, x1_ty).map_value(n1, None);
+            let b = NDArrayType::from_unifier_type(generator, ctx, x2_ty).map_value(n2, None);
+
+            // TODO: General `np.dot()` https://numpy.org/doc/stable/reference/generated/numpy.dot.html.
+            assert_eq!(a.get_type().ndims(), 1);
+            assert_eq!(b.get_type().ndims(), 1);
+            let common_dtype = arraylike_flatten_element_type(&mut ctx.unifier, x1_ty);
+
+            // Check shapes.
+            let a_size = a.size(generator, ctx);
+            let b_size = b.size(generator, ctx);
+            let same_shape =
+                ctx.builder.build_int_compare(IntPredicate::EQ, a_size, b_size, "").unwrap();
+            ctx.make_assert(
+                generator,
+                same_shape,
+                "0:ValueError",
+                "shapes ({0},) and ({1},) not aligned: {0} (dim 0) != {1} (dim 1)",
+                [Some(a_size), Some(b_size), None],
+                ctx.current_loc,
+            );
+
+            let dtype_llvm = ctx.get_llvm_type(generator, common_dtype);
+
+            let result = ctx.builder.build_alloca(dtype_llvm, "np_dot_result").unwrap();
+            ctx.builder.build_store(result, dtype_llvm.const_zero()).unwrap();
+
+            // Do dot product.
+            gen_for_callback(
+                generator,
+                ctx,
+                Some("np_dot"),
+                |generator, ctx| {
+                    let a_iter = NDIterType::new(generator, ctx.ctx).construct(generator, ctx, a);
+                    let b_iter = NDIterType::new(generator, ctx.ctx).construct(generator, ctx, b);
+                    Ok((a_iter, b_iter))
+                },
+                |generator, ctx, (a_iter, _b_iter)| {
+                    // Only a_iter drives the condition, b_iter should have the same status.
+                    Ok(a_iter.has_element(generator, ctx))
+                },
+                |_, ctx, _hooks, (a_iter, b_iter)| {
+                    let a_scalar = a_iter.get_scalar(ctx);
+                    let b_scalar = b_iter.get_scalar(ctx);
+
+                    let old_result = ctx.builder.build_load(result, "").unwrap();
+                    let new_result: BasicValueEnum<'ctx> = match old_result {
+                        BasicValueEnum::IntValue(old_result) => {
+                            let a_scalar = a_scalar.into_int_value();
+                            let b_scalar = b_scalar.into_int_value();
+                            let x = ctx.builder.build_int_mul(a_scalar, b_scalar, "").unwrap();
+                            ctx.builder.build_int_add(old_result, x, "").unwrap().into()
+                        }
+
+                        BasicValueEnum::FloatValue(old_result) => {
+                            let a_scalar = a_scalar.into_float_value();
+                            let b_scalar = b_scalar.into_float_value();
+                            let x = ctx.builder.build_float_mul(a_scalar, b_scalar, "").unwrap();
+                            ctx.builder.build_float_add(old_result, x, "").unwrap().into()
+                        }
+
+                        _ => {
+                            panic!("Unrecognized dtype: {}", ctx.unifier.stringify(common_dtype));
+                        }
+                    };
+
+                    ctx.builder.build_store(result, new_result).unwrap();
+                    Ok(())
+                },
+                |generator, ctx, (a_iter, b_iter)| {
+                    a_iter.next(generator, ctx);
+                    b_iter.next(generator, ctx);
+                    Ok(())
+                },
+            )
+            .unwrap();
+
+            Ok(ctx.builder.build_load(result, "").unwrap())
+        }
+
+        (BasicValueEnum::IntValue(e1), BasicValueEnum::IntValue(e2)) => {
+            Ok(ctx.builder.build_int_mul(e1, e2, "").unwrap().as_basic_value_enum())
+        }
+
+        (BasicValueEnum::FloatValue(e1), BasicValueEnum::FloatValue(e2)) => {
+            Ok(ctx.builder.build_float_mul(e1, e2, "").unwrap().as_basic_value_enum())
+        }
+
+        _ => codegen_unreachable!(
+            ctx,
+            "{FN_NAME}() not supported for '{}'",
+            format!("'{}'", ctx.unifier.stringify(x1_ty))
+        ),
+    }
+}

nac3core/src/codegen/test.rs

@@ -1,30 +1,41 @@
-use crate::{
-    codegen::{
-        concrete_type::ConcreteTypeStore, CodeGenContext, CodeGenTask, DefaultCodeGenerator,
-        WithCall, WorkerRegistry,
-    },
-    symbol_resolver::{SymbolResolver, ValueEnum},
-    toplevel::{
-        composer::TopLevelComposer, DefinitionId, FunInstance, TopLevelContext, TopLevelDef,
-    },
-    typecheck::{
-        type_inferencer::{FunctionData, Inferencer, PrimitiveStore},
-        typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier},
-    },
+use std::{
+    collections::{HashMap, HashSet},
+    sync::Arc,
 };
+
+use indexmap::IndexMap;
 use indoc::indoc;
+use inkwell::{
+    targets::{InitializationConfig, Target},
+    OptimizationLevel,
+};
 use nac3parser::{
-    ast::{fold::Fold, StrRef},
+    ast::{fold::Fold, FileName, StrRef},
     parser::parse_program,
 };
 use parking_lot::RwLock;
-use std::collections::{HashMap, HashSet};
-use std::sync::Arc;
+
+use super::{
+    concrete_type::ConcreteTypeStore,
+    types::{ndarray::NDArrayType, ListType, ProxyType, RangeType},
+    CodeGenContext, CodeGenLLVMOptions, CodeGenTargetMachineOptions, CodeGenTask, CodeGenerator,
+    DefaultCodeGenerator, WithCall, WorkerRegistry,
+};
+use crate::{
+    symbol_resolver::{SymbolResolver, ValueEnum},
+    toplevel::{
+        composer::{ComposerConfig, TopLevelComposer},
+        DefinitionId, FunInstance, TopLevelContext, TopLevelDef,
+    },
+    typecheck::{
+        type_inferencer::{FunctionData, IdentifierInfo, Inferencer, PrimitiveStore},
+        typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier, VarMap},
+    },
+};
 
 struct Resolver {
     id_to_type: HashMap<StrRef, Type>,
     id_to_def: RwLock<HashMap<StrRef, DefinitionId>>,
-    class_names: HashMap<StrRef, Type>,
 }
 
 impl Resolver {
@@ -48,30 +59,31 @@ impl SymbolResolver for Resolver {
         _: &PrimitiveStore,
         str: StrRef,
     ) -> Result<Type, String> {
-        self.id_to_type.get(&str).cloned().ok_or_else(|| format!("cannot find symbol `{}`", str))
+        self.id_to_type.get(&str).copied().ok_or_else(|| format!("cannot find symbol `{str}`"))
     }
 
-    fn get_symbol_value<'ctx, 'a>(
+    fn get_symbol_value<'ctx>(
         &self,
         _: StrRef,
-        _: &mut CodeGenContext<'ctx, 'a>,
+        _: &mut CodeGenContext<'ctx, '_>,
+        _: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
         unimplemented!()
     }
 
-    fn get_identifier_def(&self, id: StrRef) -> Result<DefinitionId, String> {
+    fn get_identifier_def(&self, id: StrRef) -> Result<DefinitionId, HashSet<String>> {
         self.id_to_def
             .read()
             .get(&id)
-            .cloned()
-            .ok_or_else(|| format!("cannot find symbol `{}`", id))
+            .copied()
+            .ok_or_else(|| HashSet::from([format!("cannot find symbol `{id}`")]))
     }
 
     fn get_string_id(&self, _: &str) -> i32 {
         unimplemented!()
     }
 
-    fn get_exception_id(&self, tyid: usize) -> usize {
+    fn get_exception_id(&self, _tyid: usize) -> usize {
         unimplemented!()
     }
 }
@@ -83,28 +95,36 @@ fn test_primitives() {
         d = a if c == 1 else 0
         return d
         "};
-    let statements = parse_program(source, Default::default()).unwrap();
+    let statements = parse_program(source, FileName::default()).unwrap();
 
-    let composer: TopLevelComposer = Default::default();
+    let composer = TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 32).0;
     let mut unifier = composer.unifier.clone();
     let primitives = composer.primitives_ty;
     let top_level = Arc::new(composer.make_top_level_context());
     unifier.top_level = Some(top_level.clone());
 
-    let resolver = Arc::new(Resolver {
-        id_to_type: HashMap::new(),
-        id_to_def: RwLock::new(HashMap::new()),
-        class_names: Default::default(),
-    }) as Arc<dyn SymbolResolver + Send + Sync>;
+    let resolver =
+        Arc::new(Resolver { id_to_type: HashMap::new(), id_to_def: RwLock::new(HashMap::new()) })
+            as Arc<dyn SymbolResolver + Send + Sync>;
 
     let threads = vec![DefaultCodeGenerator::new("test".into(), 32).into()];
     let signature = FunSignature {
         args: vec![
-            FuncArg { name: "a".into(), ty: primitives.int32, default_value: None },
-            FuncArg { name: "b".into(), ty: primitives.int32, default_value: None },
+            FuncArg {
+                name: "a".into(),
+                ty: primitives.int32,
+                default_value: None,
+                is_vararg: false,
+            },
+            FuncArg {
+                name: "b".into(),
+                ty: primitives.int32,
+                default_value: None,
+                is_vararg: false,
+            },
         ],
         ret: primitives.int32,
-        vars: HashMap::new(),
+        vars: VarMap::new(),
     };
 
     let mut store = ConcreteTypeStore::new();
@@ -119,12 +139,13 @@ fn test_primitives() {
     };
     let mut virtual_checks = Vec::new();
     let mut calls = HashMap::new();
-    let mut identifiers: HashSet<_> = ["a".into(), "b".into()].iter().cloned().collect();
+    let mut identifiers: HashMap<_, _> =
+        ["a".into(), "b".into()].map(|id| (id, IdentifierInfo::default())).into();
     let mut inferencer = Inferencer {
         top_level: &top_level,
         function_data: &mut function_data,
         unifier: &mut unifier,
-        variable_mapping: Default::default(),
+        variable_mapping: HashMap::default(),
         primitives: &primitives,
         virtual_checks: &mut virtual_checks,
         calls: &mut calls,
@@ -148,7 +169,7 @@ fn test_primitives() {
     });
 
     let task = CodeGenTask {
-        subst: Default::default(),
+        subst: Vec::default(),
         symbol_name: "testing".into(),
         body: Arc::new(statements),
         unifier_index: 0,
@@ -180,19 +201,48 @@ fn test_primitives() {
         let expected = indoc! {"
             ; ModuleID = 'test'
             source_filename = \"test\"
+            target datalayout = \"e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-f80:128-n8:16:32:64-S128\"
+            target triple = \"x86_64-unknown-linux-gnu\"
 
-            define i32 @testing(i32 %0, i32 %1) {
+            ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
+            define i32 @testing(i32 %0, i32 %1) local_unnamed_addr #0 !dbg !4 {
             init:
-              %add = add i32 %0, %1
-              %cmp = icmp eq i32 %add, 1
-              %ifexpr = select i1 %cmp, i32 %0, i32 0
-              ret i32 %ifexpr
+              %add = add i32 %1, %0, !dbg !9
+              %cmp = icmp eq i32 %add, 1, !dbg !10
+              %. = select i1 %cmp, i32 %0, i32 0, !dbg !11
+              ret i32 %., !dbg !12
             }
-       "}
+
+            attributes #0 = { mustprogress nofree norecurse nosync nounwind readnone willreturn }
+
+            !llvm.module.flags = !{!0, !1}
+            !llvm.dbg.cu = !{!2}
+
+            !0 = !{i32 2, !\"Debug Info Version\", i32 3}
+            !1 = !{i32 2, !\"Dwarf Version\", i32 4}
+            !2 = distinct !DICompileUnit(language: DW_LANG_Python, file: !3, producer: \"NAC3\", isOptimized: true, runtimeVersion: 0, emissionKind: FullDebug)
+            !3 = !DIFile(filename: \"unknown\", directory: \"\")
+            !4 = distinct !DISubprogram(name: \"testing\", linkageName: \"testing\", scope: null, file: !3, line: 1, type: !5, scopeLine: 1, flags: DIFlagPublic, spFlags: DISPFlagDefinition | DISPFlagOptimized, unit: !2, retainedNodes: !8)
+            !5 = !DISubroutineType(flags: DIFlagPublic, types: !6)
+            !6 = !{!7}
+            !7 = !DIBasicType(name: \"_\", flags: DIFlagPublic)
+            !8 = !{}
+            !9 = !DILocation(line: 1, column: 9, scope: !4)
+            !10 = !DILocation(line: 2, column: 15, scope: !4)
+            !11 = !DILocation(line: 0, scope: !4)
+            !12 = !DILocation(line: 3, column: 8, scope: !4)
+        "}
         .trim();
         assert_eq!(expected, module.print_to_string().to_str().unwrap().trim());
     })));
-    let (registry, handles) = WorkerRegistry::create_workers(threads, top_level, f);
+
+    Target::initialize_all(&InitializationConfig::default());
+
+    let llvm_options = CodeGenLLVMOptions {
+        opt_level: OptimizationLevel::Default,
+        target: CodeGenTargetMachineOptions::from_host_triple(),
+    };
+    let (registry, handles) = WorkerRegistry::create_workers(threads, top_level, &llvm_options, &f);
     registry.add_task(task);
     registry.wait_tasks_complete(handles);
 }
@@ -203,23 +253,28 @@ fn test_simple_call() {
         a = foo(a)
         return a * 2
         "};
-    let statements_1 = parse_program(source_1, Default::default()).unwrap();
+    let statements_1 = parse_program(source_1, FileName::default()).unwrap();
 
     let source_2 = indoc! { "
         return a + 1
         "};
-    let statements_2 = parse_program(source_2, Default::default()).unwrap();
+    let statements_2 = parse_program(source_2, FileName::default()).unwrap();
 
-    let composer: TopLevelComposer = Default::default();
+    let composer = TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 32).0;
     let mut unifier = composer.unifier.clone();
     let primitives = composer.primitives_ty;
     let top_level = Arc::new(composer.make_top_level_context());
     unifier.top_level = Some(top_level.clone());
 
     let signature = FunSignature {
-        args: vec![FuncArg { name: "a".into(), ty: primitives.int32, default_value: None }],
+        args: vec![FuncArg {
+            name: "a".into(),
+            ty: primitives.int32,
+            default_value: None,
+            is_vararg: false,
+        }],
         ret: primitives.int32,
-        vars: HashMap::new(),
+        vars: VarMap::new(),
     };
     let fun_ty = unifier.add_ty(TypeEnum::TFunc(signature.clone()));
     let mut store = ConcreteTypeStore::new();
@@ -240,11 +295,7 @@ fn test_simple_call() {
         loc: None,
     })));
 
-    let resolver = Resolver {
-        id_to_type: HashMap::new(),
-        id_to_def: RwLock::new(HashMap::new()),
-        class_names: Default::default(),
-    };
+    let resolver = Resolver { id_to_type: HashMap::new(), id_to_def: RwLock::new(HashMap::new()) };
     resolver.add_id_def("foo".into(), DefinitionId(foo_id));
     let resolver = Arc::new(resolver) as Arc<dyn SymbolResolver + Send + Sync>;
 
@@ -264,12 +315,13 @@ fn test_simple_call() {
     };
     let mut virtual_checks = Vec::new();
     let mut calls = HashMap::new();
-    let mut identifiers: HashSet<_> = ["a".into(), "foo".into()].iter().cloned().collect();
+    let mut identifiers: HashMap<_, _> =
+        ["a".into(), "foo".into()].map(|id| (id, IdentifierInfo::default())).into();
     let mut inferencer = Inferencer {
         top_level: &top_level,
         function_data: &mut function_data,
         unifier: &mut unifier,
-        variable_mapping: Default::default(),
+        variable_mapping: HashMap::default(),
         primitives: &primitives,
         virtual_checks: &mut virtual_checks,
         calls: &mut calls,
@@ -298,11 +350,11 @@ fn test_simple_call() {
         &mut *top_level.definitions.read()[foo_id].write()
     {
         instance_to_stmt.insert(
-            "".to_string(),
+            String::new(),
             FunInstance {
                 body: Arc::new(statements_2),
                 calls: Arc::new(inferencer.calls.clone()),
-                subst: Default::default(),
+                subst: IndexMap::default(),
                 unifier_id: 0,
             },
         );
@@ -318,7 +370,7 @@ fn test_simple_call() {
     });
 
     let task = CodeGenTask {
-        subst: Default::default(),
+        subst: Vec::default(),
         symbol_name: "testing".to_string(),
         body: Arc::new(statements_1),
         calls: Arc::new(calls1),
@@ -332,24 +384,86 @@ fn test_simple_call() {
         let expected = indoc! {"
             ; ModuleID = 'test'
             source_filename = \"test\"
+            target datalayout = \"e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-f80:128-n8:16:32:64-S128\"
+            target triple = \"x86_64-unknown-linux-gnu\"
 
-            define i32 @testing(i32 %0) {
+            ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
+            define i32 @testing(i32 %0) local_unnamed_addr #0 !dbg !5 {
             init:
-              %call = call i32 @foo.0(i32 %0)
-              %mul = mul i32 %call, 2
-              ret i32 %mul
+              %add.i = shl i32 %0, 1, !dbg !10
+              %mul = add i32 %add.i, 2, !dbg !10
+              ret i32 %mul, !dbg !10
             }
 
-            define i32 @foo.0(i32 %0) {
+            ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
+            define i32 @foo.0(i32 %0) local_unnamed_addr #0 !dbg !11 {
             init:
-              %add = add i32 %0, 1
-              ret i32 %add
+              %add = add i32 %0, 1, !dbg !12
+              ret i32 %add, !dbg !12
             }
-       "}
+
+            attributes #0 = { mustprogress nofree norecurse nosync nounwind readnone willreturn }
+
+            !llvm.module.flags = !{!0, !1}
+            !llvm.dbg.cu = !{!2, !4}
+
+            !0 = !{i32 2, !\"Debug Info Version\", i32 3}
+            !1 = !{i32 2, !\"Dwarf Version\", i32 4}
+            !2 = distinct !DICompileUnit(language: DW_LANG_Python, file: !3, producer: \"NAC3\", isOptimized: true, runtimeVersion: 0, emissionKind: FullDebug)
+            !3 = !DIFile(filename: \"unknown\", directory: \"\")
+            !4 = distinct !DICompileUnit(language: DW_LANG_Python, file: !3, producer: \"NAC3\", isOptimized: true, runtimeVersion: 0, emissionKind: FullDebug)
+            !5 = distinct !DISubprogram(name: \"testing\", linkageName: \"testing\", scope: null, file: !3, line: 1, type: !6, scopeLine: 1, flags: DIFlagPublic, spFlags: DISPFlagDefinition | DISPFlagOptimized, unit: !2, retainedNodes: !9)
+            !6 = !DISubroutineType(flags: DIFlagPublic, types: !7)
+            !7 = !{!8}
+            !8 = !DIBasicType(name: \"_\", flags: DIFlagPublic)
+            !9 = !{}
+            !10 = !DILocation(line: 2, column: 12, scope: !5)
+            !11 = distinct !DISubprogram(name: \"foo.0\", linkageName: \"foo.0\", scope: null, file: !3, line: 1, type: !6, scopeLine: 1, flags: DIFlagPublic, spFlags: DISPFlagDefinition | DISPFlagOptimized, unit: !4, retainedNodes: !9)
+            !12 = !DILocation(line: 1, column: 12, scope: !11)
+        "}
         .trim();
         assert_eq!(expected, module.print_to_string().to_str().unwrap().trim());
     })));
-    let (registry, handles) = WorkerRegistry::create_workers(threads, top_level, f);
+
+    Target::initialize_all(&InitializationConfig::default());
+
+    let llvm_options = CodeGenLLVMOptions {
+        opt_level: OptimizationLevel::Default,
+        target: CodeGenTargetMachineOptions::from_host_triple(),
+    };
+    let (registry, handles) = WorkerRegistry::create_workers(threads, top_level, &llvm_options, &f);
     registry.add_task(task);
     registry.wait_tasks_complete(handles);
 }
+
+#[test]
+fn test_classes_list_type_new() {
+    let ctx = inkwell::context::Context::create();
+    let generator = DefaultCodeGenerator::new(String::new(), 64);
+
+    let llvm_i32 = ctx.i32_type();
+    let llvm_usize = generator.get_size_type(&ctx);
+
+    let llvm_list = ListType::new(&generator, &ctx, llvm_i32.into());
+    assert!(ListType::is_representable(llvm_list.as_base_type(), llvm_usize).is_ok());
+}
+
+#[test]
+fn test_classes_range_type_new() {
+    let ctx = inkwell::context::Context::create();
+
+    let llvm_range = RangeType::new(&ctx);
+    assert!(RangeType::is_representable(llvm_range.as_base_type()).is_ok());
+}
+
+#[test]
+fn test_classes_ndarray_type_new() {
+    let ctx = inkwell::context::Context::create();
+    let generator = DefaultCodeGenerator::new(String::new(), 64);
+
+    let llvm_i32 = ctx.i32_type();
+    let llvm_usize = generator.get_size_type(&ctx);
+
+    let llvm_ndarray = NDArrayType::new(&generator, &ctx, llvm_i32.into(), 2);
+    assert!(NDArrayType::is_representable(llvm_ndarray.as_base_type(), llvm_usize).is_ok());
+}

nac3core/src/codegen/types/list.rs

@@ -0,0 +1,357 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{IntValue, PointerValue},
+    AddressSpace, IntPredicate, OptimizationLevel,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use super::ProxyType;
+use crate::{
+    codegen::{
+        types::structure::{
+            check_struct_type_matches_fields, FieldIndexCounter, StructField, StructFields,
+        },
+        values::{ListValue, ProxyValue},
+        CodeGenContext, CodeGenerator,
+    },
+    typecheck::typedef::{iter_type_vars, Type, TypeEnum},
+};
+
+/// Proxy type for a `list` type in LLVM.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct ListType<'ctx> {
+    ty: PointerType<'ctx>,
+    item: Option<BasicTypeEnum<'ctx>>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct ListStructFields<'ctx> {
+    /// Array pointer to content.
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub items: StructField<'ctx, PointerValue<'ctx>>,
+
+    /// Number of items in the array.
+    #[value_type(usize)]
+    pub len: StructField<'ctx, IntValue<'ctx>>,
+}
+
+impl<'ctx> ListStructFields<'ctx> {
+    #[must_use]
+    pub fn new_typed(item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        let mut counter = FieldIndexCounter::default();
+
+        ListStructFields {
+            items: StructField::create(
+                &mut counter,
+                "items",
+                item.ptr_type(AddressSpace::default()),
+            ),
+            len: StructField::create(&mut counter, "len", llvm_usize),
+        }
+    }
+}
+
+impl<'ctx> ListType<'ctx> {
+    /// Checks whether `llvm_ty` represents a `list` type, returning [Err] if it does not.
+    pub fn is_representable(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        let ctx = llvm_ty.get_context();
+
+        let llvm_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!("Expected struct type for `list` type, got {llvm_ty}"));
+        };
+
+        let fields = ListStructFields::new(ctx, llvm_usize);
+
+        check_struct_type_matches_fields(
+            fields,
+            llvm_ty,
+            "list",
+            &[(fields.items.name(), &|ty| {
+                if ty.is_pointer_type() {
+                    Ok(())
+                } else {
+                    Err(format!("Expected T* for `list.items`, got {ty}"))
+                }
+            })],
+        )
+    }
+
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> ListStructFields<'ctx> {
+        ListStructFields::new_typed(item, llvm_usize)
+    }
+
+    /// See [`ListType::fields`].
+    // TODO: Move this into e.g. StructProxyType
+    #[must_use]
+    pub fn get_fields(&self, _ctx: &impl AsContextRef<'ctx>) -> ListStructFields<'ctx> {
+        Self::fields(self.item.unwrap_or(self.llvm_usize.into()), self.llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of a `List`.
+    #[must_use]
+    fn llvm_type(
+        ctx: &'ctx Context,
+        element_type: Option<BasicTypeEnum<'ctx>>,
+        llvm_usize: IntType<'ctx>,
+    ) -> PointerType<'ctx> {
+        let element_type = element_type.unwrap_or(llvm_usize.into());
+
+        let field_tys =
+            Self::fields(element_type, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    /// Creates an instance of [`ListType`].
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        element_type: BasicTypeEnum<'ctx>,
+    ) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_list = Self::llvm_type(ctx, Some(element_type), llvm_usize);
+
+        Self { ty: llvm_list, item: Some(element_type), llvm_usize }
+    }
+
+    /// Creates an instance of [`ListType`] with an unknown element type.
+    #[must_use]
+    pub fn new_untyped<G: CodeGenerator + ?Sized>(generator: &G, ctx: &'ctx Context) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_list = Self::llvm_type(ctx, None, llvm_usize);
+
+        Self { ty: llvm_list, item: None, llvm_usize }
+    }
+
+    /// Creates an [`ListType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        // Check unifier type and extract `item_type`
+        let elem_type = match &*ctx.unifier.get_ty_immutable(ty) {
+            TypeEnum::TObj { obj_id, params, .. }
+                if *obj_id == ctx.primitives.list.obj_id(&ctx.unifier).unwrap() =>
+            {
+                iter_type_vars(params).next().unwrap().ty
+            }
+
+            _ => panic!("Expected `list` type, but got {}", ctx.unifier.stringify(ty)),
+        };
+
+        let llvm_usize = generator.get_size_type(ctx.ctx);
+        let llvm_elem_type = if let TypeEnum::TVar { .. } = &*ctx.unifier.get_ty_immutable(ty) {
+            None
+        } else {
+            Some(ctx.get_llvm_type(generator, elem_type))
+        };
+
+        Self {
+            ty: Self::llvm_type(ctx.ctx, llvm_elem_type, llvm_usize),
+            item: llvm_elem_type,
+            llvm_usize,
+        }
+    }
+
+    /// Creates an [`ListType`] from a [`PointerType`].
+    #[must_use]
+    pub fn from_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty, llvm_usize).is_ok());
+
+        let ctx = ptr_ty.get_context();
+
+        // We are just searching for the index off a field - Slot an arbitrary element type in.
+        let item_field_idx =
+            Self::fields(ctx.i8_type().into(), llvm_usize).index_of_field(|f| f.items);
+        let item = unsafe {
+            ptr_ty
+                .get_element_type()
+                .into_struct_type()
+                .get_field_type_at_index_unchecked(item_field_idx)
+                .into_pointer_type()
+                .get_element_type()
+        };
+        let item = BasicTypeEnum::try_from(item).unwrap_or_else(|()| {
+            panic!(
+                "Expected BasicTypeEnum for list element type, got {}",
+                ptr_ty.get_element_type().print_to_string()
+            )
+        });
+
+        ListType { ty: ptr_ty, item: Some(item), llvm_usize }
+    }
+
+    /// Returns the type of the `size` field of this `list` type.
+    #[must_use]
+    pub fn size_type(&self) -> IntType<'ctx> {
+        self.llvm_usize
+    }
+
+    /// Returns the element type of this `list` type.
+    #[must_use]
+    pub fn element_type(&self) -> Option<BasicTypeEnum<'ctx>> {
+        self.item
+    }
+
+    /// Allocates an instance of [`ListValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`ListValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates a [`ListValue`] on the stack using `item` of this [`ListType`] instance.
+    ///
+    /// The returned list will contain:
+    ///
+    /// - `data`: Allocated with `len` number of elements.
+    /// - `len`: Initialized to the value of `len` passed to this function.
+    #[must_use]
+    pub fn construct<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        len: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let len = ctx.builder.build_int_z_extend(len, self.llvm_usize, "").unwrap();
+
+        // Generate a runtime assertion if allocating a non-empty list with unknown element type
+        if ctx.registry.llvm_options.opt_level == OptimizationLevel::None && self.item.is_none() {
+            let len_eqz = ctx
+                .builder
+                .build_int_compare(IntPredicate::EQ, len, self.llvm_usize.const_zero(), "")
+                .unwrap();
+
+            ctx.make_assert(
+                generator,
+                len_eqz,
+                "0:AssertionError",
+                "Cannot allocate a non-empty list with unknown element type",
+                [None, None, None],
+                ctx.current_loc,
+            );
+        }
+
+        let plist = self.alloca_var(generator, ctx, name);
+        plist.store_size(ctx, generator, len);
+
+        let item = self.item.unwrap_or(self.llvm_usize.into());
+        plist.create_data(ctx, item, None);
+
+        plist
+    }
+
+    /// Convenience function for creating a list with zero elements.
+    ///
+    /// This function is preferred over [`ListType::construct`] if the length is known to always be
+    /// 0, as this function avoids injecting an IR assertion for checking if a non-empty untyped
+    /// list is being allocated.
+    ///
+    /// The returned list will contain:
+    ///
+    /// - `data`: Initialized to `(T*) 0`.
+    /// - `len`: Initialized to `0`.
+    #[must_use]
+    pub fn construct_empty<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let plist = self.alloca_var(generator, ctx, name);
+
+        plist.store_size(ctx, generator, self.llvm_usize.const_zero());
+        plist.create_data(ctx, self.item.unwrap_or(self.llvm_usize.into()), None);
+
+        plist
+    }
+
+    /// Converts an existing value into a [`ListValue`].
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for ListType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = ListValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty, generator.get_size_type(ctx))
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<ListType<'ctx>> for PointerType<'ctx> {
+    fn from(value: ListType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/mod.rs

@@ -0,0 +1,125 @@
+//! This module contains abstraction over all intrinsic composite types of NAC3.
+//!
+//! # `raw_alloca` vs `alloca` vs `construct`
+//!
+//! There are three ways of creating a new object instance using the abstractions provided by this
+//! module.
+//!
+//! - `raw_alloca`: Allocates the object on the stack, returning an instance of
+//!   [`impl BasicValue`][inkwell::values::BasicValue]. This is similar to a `malloc` expression in
+//!   C++ but the object is allocated on the stack.
+//! - `alloca`: Similar to `raw_alloca`, but also wraps the allocated object with
+//!   [`<Self as ProxyType<'ctx>>::Value`][ProxyValue], and returns the wrapped object. The returned
+//!   object will not initialize any value or fields. This is similar to a type-safe `malloc`
+//!   expression in C++ but the object is allocated on the stack.
+//! - `construct`: Similar to `alloca`, but performs some initialization on the value or fields of
+//!   the returned object. This is similar to a `new` expression in C++ but the object is allocated
+//!   on the stack.
+
+use inkwell::{
+    context::Context,
+    types::BasicType,
+    values::{IntValue, PointerValue},
+};
+
+use super::{
+    values::{ArraySliceValue, ProxyValue},
+    {CodeGenContext, CodeGenerator},
+};
+pub use list::*;
+pub use range::*;
+pub use tuple::*;
+
+mod list;
+pub mod ndarray;
+mod range;
+pub mod structure;
+mod tuple;
+pub mod utils;
+
+/// A LLVM type that is used to represent a corresponding type in NAC3.
+pub trait ProxyType<'ctx>: Into<Self::Base> {
+    /// The LLVM type of which values of this type possess. This is usually a
+    /// [LLVM pointer type][PointerType] for any non-primitive types.
+    type Base: BasicType<'ctx>;
+
+    /// The type of values represented by this type.
+    type Value: ProxyValue<'ctx, Type = Self>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String>;
+
+    /// Checks whether `llvm_ty` can be represented by this [`ProxyType`].
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String>;
+
+    /// Returns the type that should be used in `alloca` IR statements.
+    fn alloca_type(&self) -> impl BasicType<'ctx>;
+
+    /// Creates a new value of this type by invoking `alloca` at the current builder location,
+    /// returning a [`PointerValue`] instance representing the allocated value.
+    fn raw_alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> PointerValue<'ctx> {
+        ctx.builder
+            .build_alloca(self.alloca_type().as_basic_type_enum(), name.unwrap_or_default())
+            .unwrap()
+    }
+
+    /// Creates a new value of this type by invoking `alloca` at the beginning of the function,
+    /// returning a [`PointerValue`] instance representing the allocated value.
+    fn raw_alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> PointerValue<'ctx> {
+        generator.gen_var_alloc(ctx, self.alloca_type().as_basic_type_enum(), name).unwrap()
+    }
+
+    /// Creates a new array value of this type by invoking `alloca` at the current builder location,
+    /// returning an [`ArraySliceValue`] encapsulating the resulting array.
+    fn array_alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> ArraySliceValue<'ctx> {
+        ArraySliceValue::from_ptr_val(
+            ctx.builder
+                .build_array_alloca(
+                    self.alloca_type().as_basic_type_enum(),
+                    size,
+                    name.unwrap_or_default(),
+                )
+                .unwrap(),
+            size,
+            name,
+        )
+    }
+
+    /// Creates a new array value of this type by invoking `alloca` at the beginning of the
+    /// function, returning an [`ArraySliceValue`] encapsulating the resulting array.
+    fn array_alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> ArraySliceValue<'ctx> {
+        generator
+            .gen_array_var_alloc(ctx, self.alloca_type().as_basic_type_enum(), size, name)
+            .unwrap()
+    }
+
+    /// Returns the [base type][Self::Base] of this proxy.
+    fn as_base_type(&self) -> Self::Base;
+}

nac3core/src/codegen/types/ndarray/array.rs

@@ -0,0 +1,243 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, IntValue},
+    AddressSpace,
+};
+
+use crate::{
+    codegen::{
+        irrt,
+        stmt::gen_if_else_expr_callback,
+        types::{ndarray::NDArrayType, ListType, ProxyType},
+        values::{
+            ndarray::NDArrayValue, ArrayLikeValue, ArraySliceValue, ListValue, ProxyValue,
+            TypedArrayLikeAdapter, TypedArrayLikeMutator,
+        },
+        CodeGenContext, CodeGenerator,
+    },
+    toplevel::helper::{arraylike_flatten_element_type, arraylike_get_ndims},
+    typecheck::typedef::{Type, TypeEnum},
+};
+
+/// Get the expected `dtype` and `ndims` of the ndarray returned by `np_array(<list>)`.
+fn get_list_object_dtype_and_ndims<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    list_ty: Type,
+) -> (BasicTypeEnum<'ctx>, u64) {
+    let dtype = arraylike_flatten_element_type(&mut ctx.unifier, list_ty);
+    let ndims = arraylike_get_ndims(&mut ctx.unifier, list_ty);
+
+    (ctx.get_llvm_type(generator, dtype), ndims)
+}
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Implementation of `np_array(<list>, copy=True)`
+    fn construct_numpy_array_from_list_copy_true_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (list_ty, list): (Type, ListValue<'ctx>),
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let (dtype, ndims_int) = get_list_object_dtype_and_ndims(generator, ctx, list_ty);
+        assert!(self.ndims >= ndims_int);
+        assert_eq!(dtype, self.dtype);
+
+        let list_value = list.as_i8_list(generator, ctx);
+
+        // Validate `list` has a consistent shape.
+        // Raise an exception if `list` is something abnormal like `[[1, 2], [3]]`.
+        // If `list` has a consistent shape, deduce the shape and write it to `shape`.
+        let ndims = self.llvm_usize.const_int(ndims_int, false);
+        let shape = ctx.builder.build_array_alloca(self.llvm_usize, ndims, "").unwrap();
+        let shape = ArraySliceValue::from_ptr_val(shape, ndims, None);
+        let shape = TypedArrayLikeAdapter::from(
+            shape,
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+        irrt::ndarray::call_nac3_ndarray_array_set_and_validate_list_shape(
+            generator, ctx, list_value, ndims, &shape,
+        );
+
+        let ndarray = Self::new(generator, ctx.ctx, dtype, ndims_int)
+            .construct_uninitialized(generator, ctx, name);
+        ndarray.copy_shape_from_array(generator, ctx, shape.base_ptr(ctx, generator));
+        unsafe { ndarray.create_data(generator, ctx) };
+
+        // Copy all contents from the list.
+        irrt::ndarray::call_nac3_ndarray_array_write_list_to_array(
+            generator, ctx, list_value, ndarray,
+        );
+
+        ndarray
+    }
+
+    /// Implementation of `np_array(<list>, copy=None)`
+    fn construct_numpy_array_from_list_copy_none_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (list_ty, list): (Type, ListValue<'ctx>),
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        // np_array without copying is only possible `list` is not nested.
+        //
+        // If `list` is `list[T]`, we can create an ndarray with `data` set
+        // to the array pointer of `list`.
+        //
+        // If `list` is `list[list[T]]` or worse, copy.
+
+        let (dtype, ndims) = get_list_object_dtype_and_ndims(generator, ctx, list_ty);
+        if ndims == 1 {
+            // `list` is not nested
+            assert_eq!(ndims, 1);
+            assert!(self.ndims >= ndims);
+            assert_eq!(dtype, self.dtype);
+
+            let llvm_pi8 = ctx.ctx.i8_type().ptr_type(AddressSpace::default());
+
+            let ndarray = Self::new(generator, ctx.ctx, dtype, 1)
+                .construct_uninitialized(generator, ctx, name);
+
+            // Set data
+            let data = ctx
+                .builder
+                .build_pointer_cast(list.data().base_ptr(ctx, generator), llvm_pi8, "")
+                .unwrap();
+            ndarray.store_data(ctx, data);
+
+            // ndarray->shape[0] = list->len;
+            let shape = ndarray.shape();
+            let list_len = list.load_size(ctx, None);
+            unsafe {
+                shape.set_typed_unchecked(ctx, generator, &self.llvm_usize.const_zero(), list_len);
+            }
+
+            // Set strides, the `data` is contiguous
+            ndarray.set_strides_contiguous(generator, ctx);
+
+            ndarray
+        } else {
+            // `list` is nested, copy
+            self.construct_numpy_array_from_list_copy_true_impl(
+                generator,
+                ctx,
+                (list_ty, list),
+                name,
+            )
+        }
+    }
+
+    /// Implementation of `np_array(<list>, copy=copy)`
+    fn construct_numpy_array_list_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (list_ty, list): (Type, ListValue<'ctx>),
+        copy: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(copy.get_type(), ctx.ctx.bool_type());
+
+        let (dtype, ndims) = get_list_object_dtype_and_ndims(generator, ctx, list_ty);
+
+        let ndarray = gen_if_else_expr_callback(
+            generator,
+            ctx,
+            |_generator, _ctx| Ok(copy),
+            |generator, ctx| {
+                let ndarray = self.construct_numpy_array_from_list_copy_true_impl(
+                    generator,
+                    ctx,
+                    (list_ty, list),
+                    name,
+                );
+                Ok(Some(ndarray.as_base_value()))
+            },
+            |generator, ctx| {
+                let ndarray = self.construct_numpy_array_from_list_copy_none_impl(
+                    generator,
+                    ctx,
+                    (list_ty, list),
+                    name,
+                );
+                Ok(Some(ndarray.as_base_value()))
+            },
+        )
+        .unwrap()
+        .map(BasicValueEnum::into_pointer_value)
+        .unwrap();
+
+        NDArrayType::new(generator, ctx.ctx, dtype, ndims).map_value(ndarray, None)
+    }
+
+    /// Implementation of `np_array(<ndarray>, copy=copy)`.
+    pub fn construct_numpy_array_ndarray_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndarray: NDArrayValue<'ctx>,
+        copy: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(ndarray.get_type().dtype, self.dtype);
+        assert!(self.ndims >= ndarray.get_type().ndims);
+        assert_eq!(copy.get_type(), ctx.ctx.bool_type());
+
+        let ndarray_val = gen_if_else_expr_callback(
+            generator,
+            ctx,
+            |_generator, _ctx| Ok(copy),
+            |generator, ctx| {
+                let ndarray = ndarray.make_copy(generator, ctx); // Force copy
+                Ok(Some(ndarray.as_base_value()))
+            },
+            |_generator, _ctx| {
+                // No need to copy. Return `ndarray` itself.
+                Ok(Some(ndarray.as_base_value()))
+            },
+        )
+        .unwrap()
+        .map(BasicValueEnum::into_pointer_value)
+        .unwrap();
+
+        ndarray.get_type().map_value(ndarray_val, name)
+    }
+
+    /// Create a new ndarray like
+    /// [`np.array()`](https://numpy.org/doc/stable/reference/generated/numpy.array.html).
+    ///
+    /// Note that the returned [`NDArrayValue`] may have fewer dimensions than is specified by this
+    /// instance. Use [`NDArrayValue::atleast_nd`] on the returned value if an `ndarray` instance
+    /// with the exact number of dimensions is needed.
+    pub fn construct_numpy_array<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (object_ty, object): (Type, BasicValueEnum<'ctx>),
+        copy: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        match &*ctx.unifier.get_ty_immutable(object_ty) {
+            TypeEnum::TObj { obj_id, .. }
+                if *obj_id == ctx.primitives.list.obj_id(&ctx.unifier).unwrap() =>
+            {
+                let list = ListType::from_unifier_type(generator, ctx, object_ty)
+                    .map_value(object.into_pointer_value(), None);
+                self.construct_numpy_array_list_impl(generator, ctx, (object_ty, list), copy, name)
+            }
+
+            TypeEnum::TObj { obj_id, .. }
+                if *obj_id == ctx.primitives.ndarray.obj_id(&ctx.unifier).unwrap() =>
+            {
+                let ndarray = NDArrayType::from_unifier_type(generator, ctx, object_ty)
+                    .map_value(object.into_pointer_value(), None);
+                self.construct_numpy_array_ndarray_impl(generator, ctx, ndarray, copy, name)
+            }
+
+            _ => panic!("Unrecognized object type: {}", ctx.unifier.stringify(object_ty)), // Typechecker ensures this
+        }
+    }
+}

nac3core/src/codegen/types/ndarray/broadcast.rs

@@ -0,0 +1,176 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{IntValue, PointerValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::codegen::{
+    types::{
+        structure::{check_struct_type_matches_fields, StructField, StructFields},
+        ProxyType,
+    },
+    values::{ndarray::ShapeEntryValue, ProxyValue},
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct ShapeEntryType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct ShapeEntryStructFields<'ctx> {
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> ShapeEntryType<'ctx> {
+    /// Checks whether `llvm_ty` represents a [`ShapeEntryType`], returning [Err] if it does not.
+    pub fn is_representable(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        let ctx = llvm_ty.get_context();
+
+        let llvm_ndarray_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ndarray_ty) = llvm_ndarray_ty else {
+            return Err(format!(
+                "Expected struct type for `ShapeEntry` type, got {llvm_ndarray_ty}"
+            ));
+        };
+
+        check_struct_type_matches_fields(
+            Self::fields(ctx, llvm_usize),
+            llvm_ndarray_ty,
+            "NDArray",
+            &[],
+        )
+    }
+
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(
+        ctx: impl AsContextRef<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> ShapeEntryStructFields<'ctx> {
+        ShapeEntryStructFields::new(ctx, llvm_usize)
+    }
+
+    /// See [`ShapeEntryStructFields::fields`].
+    // TODO: Move this into e.g. StructProxyType
+    #[must_use]
+    pub fn get_fields(&self, ctx: impl AsContextRef<'ctx>) -> ShapeEntryStructFields<'ctx> {
+        Self::fields(ctx, self.llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of a `ShapeEntry`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    /// Creates an instance of [`ShapeEntryType`].
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(generator: &G, ctx: &'ctx Context) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_ty = Self::llvm_type(ctx, llvm_usize);
+
+        Self { ty: llvm_ty, llvm_usize }
+    }
+
+    /// Creates a [`ShapeEntryType`] from a [`PointerType`] representing an `ShapeEntry`.
+    #[must_use]
+    pub fn from_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Allocates an instance of [`ShapeEntryValue`] as if by calling `alloca` on the base type.
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`ShapeEntryValue`] as if by calling `alloca` on the base type.
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ShapeEntryValue`].
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for ShapeEntryType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = ShapeEntryValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty, generator.get_size_type(ctx))
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<ShapeEntryType<'ctx>> for PointerType<'ctx> {
+    fn from(value: ShapeEntryType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/ndarray/contiguous.rs

@@ -0,0 +1,250 @@
+use inkwell::{
+    context::Context,
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{IntValue, PointerValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::{
+    codegen::{
+        types::{
+            structure::{
+                check_struct_type_matches_fields, FieldIndexCounter, StructField, StructFields,
+            },
+            ProxyType,
+        },
+        values::{ndarray::ContiguousNDArrayValue, ProxyValue},
+        CodeGenContext, CodeGenerator,
+    },
+    toplevel::numpy::unpack_ndarray_var_tys,
+    typecheck::typedef::Type,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct ContiguousNDArrayType<'ctx> {
+    ty: PointerType<'ctx>,
+    item: BasicTypeEnum<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct ContiguousNDArrayStructFields<'ctx> {
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> ContiguousNDArrayStructFields<'ctx> {
+    #[must_use]
+    pub fn new_typed(item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        let mut counter = FieldIndexCounter::default();
+
+        ContiguousNDArrayStructFields {
+            ndims: StructField::create(&mut counter, "ndims", llvm_usize),
+            shape: StructField::create(
+                &mut counter,
+                "shape",
+                llvm_usize.ptr_type(AddressSpace::default()),
+            ),
+            data: StructField::create(&mut counter, "data", item.ptr_type(AddressSpace::default())),
+        }
+    }
+}
+
+impl<'ctx> ContiguousNDArrayType<'ctx> {
+    /// Checks whether `llvm_ty` represents a `ndarray` type, returning [Err] if it does not.
+    pub fn is_representable(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        let ctx = llvm_ty.get_context();
+
+        let llvm_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!(
+                "Expected struct type for `ContiguousNDArray` type, got {llvm_ty}"
+            ));
+        };
+
+        let fields = ContiguousNDArrayStructFields::new(ctx, llvm_usize);
+
+        check_struct_type_matches_fields(
+            fields,
+            llvm_ty,
+            "ContiguousNDArray",
+            &[(fields.data.name(), &|ty| {
+                if ty.is_pointer_type() {
+                    Ok(())
+                } else {
+                    Err(format!("Expected T* for `ContiguousNDArray.data`, got {ty}"))
+                }
+            })],
+        )
+    }
+
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> ContiguousNDArrayStructFields<'ctx> {
+        ContiguousNDArrayStructFields::new_typed(item, llvm_usize)
+    }
+
+    /// See [`NDArrayType::fields`].
+    // TODO: Move this into e.g. StructProxyType
+    #[must_use]
+    pub fn get_fields(&self) -> ContiguousNDArrayStructFields<'ctx> {
+        Self::fields(self.item, self.llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of an `NDArray`.
+    #[must_use]
+    fn llvm_type(
+        ctx: &'ctx Context,
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(item, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    /// Creates an instance of [`ContiguousNDArrayType`].
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        item: BasicTypeEnum<'ctx>,
+    ) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_cndarray = Self::llvm_type(ctx, item, llvm_usize);
+
+        Self { ty: llvm_cndarray, item, llvm_usize }
+    }
+
+    /// Creates an [`ContiguousNDArrayType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        let (dtype, _) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
+
+        let llvm_dtype = ctx.get_llvm_type(generator, dtype);
+        let llvm_usize = generator.get_size_type(ctx.ctx);
+
+        Self { ty: Self::llvm_type(ctx.ctx, llvm_dtype, llvm_usize), item: llvm_dtype, llvm_usize }
+    }
+
+    /// Creates an [`ContiguousNDArrayType`] from a [`PointerType`] representing an `NDArray`.
+    #[must_use]
+    pub fn from_type(
+        ptr_ty: PointerType<'ctx>,
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, item, llvm_usize }
+    }
+
+    /// Allocates an instance of [`ContiguousNDArrayValue`] as if by calling `alloca` on the base
+    /// type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`ContiguousNDArrayValue`] as if by calling `alloca` on the base
+    /// type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ContiguousNDArrayValue`].
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for ContiguousNDArrayType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = ContiguousNDArrayValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty, generator.get_size_type(ctx))
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<ContiguousNDArrayType<'ctx>> for PointerType<'ctx> {
+    fn from(value: ContiguousNDArrayType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/ndarray/factory.rs

@@ -0,0 +1,236 @@
+use inkwell::{
+    values::{BasicValueEnum, IntValue},
+    IntPredicate,
+};
+
+use super::NDArrayType;
+use crate::{
+    codegen::{
+        irrt, types::ProxyType, values::TypedArrayLikeAccessor, CodeGenContext, CodeGenerator,
+    },
+    typecheck::typedef::Type,
+};
+
+/// Get the zero value in `np.zeros()` of a `dtype`.
+fn ndarray_zero_value<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    dtype: Type,
+) -> BasicValueEnum<'ctx> {
+    if [ctx.primitives.int32, ctx.primitives.uint32]
+        .iter()
+        .any(|ty| ctx.unifier.unioned(dtype, *ty))
+    {
+        ctx.ctx.i32_type().const_zero().into()
+    } else if [ctx.primitives.int64, ctx.primitives.uint64]
+        .iter()
+        .any(|ty| ctx.unifier.unioned(dtype, *ty))
+    {
+        ctx.ctx.i64_type().const_zero().into()
+    } else if ctx.unifier.unioned(dtype, ctx.primitives.float) {
+        ctx.ctx.f64_type().const_zero().into()
+    } else if ctx.unifier.unioned(dtype, ctx.primitives.bool) {
+        ctx.ctx.bool_type().const_zero().into()
+    } else if ctx.unifier.unioned(dtype, ctx.primitives.str) {
+        ctx.gen_string(generator, "").into()
+    } else {
+        panic!("unrecognized dtype: {}", ctx.unifier.stringify(dtype));
+    }
+}
+
+/// Get the one value in `np.ones()` of a `dtype`.
+fn ndarray_one_value<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    dtype: Type,
+) -> BasicValueEnum<'ctx> {
+    if [ctx.primitives.int32, ctx.primitives.uint32]
+        .iter()
+        .any(|ty| ctx.unifier.unioned(dtype, *ty))
+    {
+        let is_signed = ctx.unifier.unioned(dtype, ctx.primitives.int32);
+        ctx.ctx.i32_type().const_int(1, is_signed).into()
+    } else if [ctx.primitives.int64, ctx.primitives.uint64]
+        .iter()
+        .any(|ty| ctx.unifier.unioned(dtype, *ty))
+    {
+        let is_signed = ctx.unifier.unioned(dtype, ctx.primitives.int64);
+        ctx.ctx.i64_type().const_int(1, is_signed).into()
+    } else if ctx.unifier.unioned(dtype, ctx.primitives.float) {
+        ctx.ctx.f64_type().const_float(1.0).into()
+    } else if ctx.unifier.unioned(dtype, ctx.primitives.bool) {
+        ctx.ctx.bool_type().const_int(1, false).into()
+    } else if ctx.unifier.unioned(dtype, ctx.primitives.str) {
+        ctx.gen_string(generator, "1").into()
+    } else {
+        panic!("unrecognized dtype: {}", ctx.unifier.stringify(dtype));
+    }
+}
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Create an ndarray like
+    /// [`np.empty`](https://numpy.org/doc/stable/reference/generated/numpy.empty.html).
+    pub fn construct_numpy_empty<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let ndarray = self.construct_uninitialized(generator, ctx, name);
+
+        // Validate `shape`
+        irrt::ndarray::call_nac3_ndarray_util_assert_shape_no_negative(generator, ctx, shape);
+
+        ndarray.copy_shape_from_array(generator, ctx, shape.base_ptr(ctx, generator));
+        unsafe { ndarray.create_data(generator, ctx) };
+
+        ndarray
+    }
+
+    /// Create an ndarray like
+    /// [`np.full`](https://numpy.org/doc/stable/reference/generated/numpy.full.html).
+    pub fn construct_numpy_full<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+        fill_value: BasicValueEnum<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let ndarray = self.construct_numpy_empty(generator, ctx, shape, name);
+        ndarray.fill(generator, ctx, fill_value);
+        ndarray
+    }
+
+    /// Create an ndarray like
+    /// [`np.zero`](https://numpy.org/doc/stable/reference/generated/numpy.zeros.html).
+    pub fn construct_numpy_zeros<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        dtype: Type,
+        shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(
+            ctx.get_llvm_type(generator, dtype),
+            self.dtype,
+            "Expected LLVM dtype={} but got {}",
+            self.dtype.print_to_string(),
+            ctx.get_llvm_type(generator, dtype).print_to_string(),
+        );
+
+        let fill_value = ndarray_zero_value(generator, ctx, dtype);
+        self.construct_numpy_full(generator, ctx, shape, fill_value, name)
+    }
+
+    /// Create an ndarray like
+    /// [`np.ones`](https://numpy.org/doc/stable/reference/generated/numpy.ones.html).
+    pub fn construct_numpy_ones<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        dtype: Type,
+        shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(
+            ctx.get_llvm_type(generator, dtype),
+            self.dtype,
+            "Expected LLVM dtype={} but got {}",
+            self.dtype.print_to_string(),
+            ctx.get_llvm_type(generator, dtype).print_to_string(),
+        );
+
+        let fill_value = ndarray_one_value(generator, ctx, dtype);
+        self.construct_numpy_full(generator, ctx, shape, fill_value, name)
+    }
+
+    /// Create an ndarray like
+    /// [`np.eye`](https://numpy.org/doc/stable/reference/generated/numpy.eye.html).
+    #[allow(clippy::too_many_arguments)]
+    pub fn construct_numpy_eye<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        dtype: Type,
+        nrows: IntValue<'ctx>,
+        ncols: IntValue<'ctx>,
+        offset: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(
+            ctx.get_llvm_type(generator, dtype),
+            self.dtype,
+            "Expected LLVM dtype={} but got {}",
+            self.dtype.print_to_string(),
+            ctx.get_llvm_type(generator, dtype).print_to_string(),
+        );
+        assert_eq!(nrows.get_type(), self.llvm_usize);
+        assert_eq!(ncols.get_type(), self.llvm_usize);
+        assert_eq!(offset.get_type(), self.llvm_usize);
+
+        let ndzero = ndarray_zero_value(generator, ctx, dtype);
+        let ndone = ndarray_one_value(generator, ctx, dtype);
+
+        let ndarray = self.construct_dyn_shape(generator, ctx, &[nrows, ncols], name);
+
+        // Create data and make the matrix like look np.eye()
+        unsafe {
+            ndarray.create_data(generator, ctx);
+        }
+        ndarray
+            .foreach(generator, ctx, |generator, ctx, _, nditer| {
+                // NOTE: rows and cols can never be zero here, since this ndarray's `np.size` would be zero
+                // and this loop would not execute.
+
+                let indices = nditer.get_indices();
+
+                let row_i = unsafe {
+                    indices.get_typed_unchecked(ctx, generator, &self.llvm_usize.const_zero(), None)
+                };
+                let col_i = unsafe {
+                    indices.get_typed_unchecked(
+                        ctx,
+                        generator,
+                        &self.llvm_usize.const_int(1, false),
+                        None,
+                    )
+                };
+
+                let be_one = ctx
+                    .builder
+                    .build_int_compare(
+                        IntPredicate::EQ,
+                        ctx.builder.build_int_add(row_i, offset, "").unwrap(),
+                        col_i,
+                        "",
+                    )
+                    .unwrap();
+                let value = ctx.builder.build_select(be_one, ndone, ndzero, "value").unwrap();
+
+                let p = nditer.get_pointer(ctx);
+                ctx.builder.build_store(p, value).unwrap();
+
+                Ok(())
+            })
+            .unwrap();
+
+        ndarray
+    }
+
+    /// Create an ndarray like
+    /// [`np.identity`](https://numpy.org/doc/stable/reference/generated/numpy.identity.html).
+    pub fn construct_numpy_identity<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        dtype: Type,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let offset = self.llvm_usize.const_zero();
+        self.construct_numpy_eye(generator, ctx, dtype, size, size, offset, name)
+    }
+}

nac3core/src/codegen/types/ndarray/indexing.rs

@@ -0,0 +1,205 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{IntValue, PointerValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::codegen::{
+    types::{
+        structure::{check_struct_type_matches_fields, StructField, StructFields},
+        ProxyType,
+    },
+    values::{
+        ndarray::{NDIndexValue, RustNDIndex},
+        ArrayLikeIndexer, ArraySliceValue, ProxyValue,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct NDIndexType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDIndexStructFields<'ctx> {
+    #[value_type(i8_type())]
+    pub type_: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> NDIndexType<'ctx> {
+    /// Checks whether `llvm_ty` represents a `ndindex` type, returning [Err] if it does not.
+    pub fn is_representable(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        let ctx = llvm_ty.get_context();
+
+        let llvm_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!(
+                "Expected struct type for `ContiguousNDArray` type, got {llvm_ty}"
+            ));
+        };
+
+        let fields = NDIndexStructFields::new(ctx, llvm_usize);
+
+        check_struct_type_matches_fields(fields, llvm_ty, "NDIndex", &[])
+    }
+
+    #[must_use]
+    fn fields(
+        ctx: impl AsContextRef<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> NDIndexStructFields<'ctx> {
+        NDIndexStructFields::new(ctx, llvm_usize)
+    }
+
+    #[must_use]
+    pub fn get_fields(&self) -> NDIndexStructFields<'ctx> {
+        Self::fields(self.ty.get_context(), self.llvm_usize)
+    }
+
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(generator: &G, ctx: &'ctx Context) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_ndindex = Self::llvm_type(ctx, llvm_usize);
+
+        Self { ty: llvm_ndindex, llvm_usize }
+    }
+
+    #[must_use]
+    pub fn from_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Allocates an instance of [`NDIndexValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+    /// Allocates an instance of [`NDIndexValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Serialize a list of [`RustNDIndex`] as a newly allocated LLVM array of [`NDIndexValue`].
+    #[must_use]
+    pub fn construct_ndindices<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        in_ndindices: &[RustNDIndex<'ctx>],
+    ) -> ArraySliceValue<'ctx> {
+        // Allocate the LLVM ndindices.
+        let num_ndindices = self.llvm_usize.const_int(in_ndindices.len() as u64, false);
+        let ndindices = self.array_alloca_var(generator, ctx, num_ndindices, None);
+
+        // Initialize all of them.
+        for (i, in_ndindex) in in_ndindices.iter().enumerate() {
+            let pndindex = unsafe {
+                ndindices.ptr_offset_unchecked(
+                    ctx,
+                    generator,
+                    &ctx.ctx.i64_type().const_int(u64::try_from(i).unwrap(), false),
+                    None,
+                )
+            };
+
+            in_ndindex.write_to_ndindex(
+                generator,
+                ctx,
+                NDIndexValue::from_pointer_value(pndindex, self.llvm_usize, None),
+            );
+        }
+
+        ndindices
+    }
+
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for NDIndexType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = NDIndexValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty, generator.get_size_type(ctx))
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<NDIndexType<'ctx>> for PointerType<'ctx> {
+    fn from(value: NDIndexType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/ndarray/map.rs

@@ -0,0 +1,187 @@
+use inkwell::{types::BasicTypeEnum, values::BasicValueEnum};
+use itertools::Itertools;
+
+use crate::codegen::{
+    stmt::gen_for_callback,
+    types::{
+        ndarray::{NDArrayType, NDIterType},
+        ProxyType,
+    },
+    values::{
+        ndarray::{NDArrayOut, NDArrayValue, ScalarOrNDArray},
+        ArrayLikeValue, ProxyValue,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Generate LLVM IR to broadcast `ndarray`s together, and starmap through them with `mapping`
+    /// elementwise.
+    ///
+    /// `mapping` is an LLVM IR generator. The input of `mapping` is the list of elements when
+    /// iterating through the input `ndarrays` after broadcasting. The output of `mapping` is the
+    /// result of the elementwise operation.
+    ///
+    /// `out` specifies whether the result should be a new ndarray or to be written an existing
+    /// ndarray.
+    pub fn broadcast_starmap<'a, G, MappingFn>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ndarrays: &[NDArrayValue<'ctx>],
+        out: NDArrayOut<'ctx>,
+        mapping: MappingFn,
+    ) -> Result<<Self as ProxyType<'ctx>>::Value, String>
+    where
+        G: CodeGenerator + ?Sized,
+        MappingFn: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            &[BasicValueEnum<'ctx>],
+        ) -> Result<BasicValueEnum<'ctx>, String>,
+    {
+        // Broadcast inputs
+        let broadcast_result = self.broadcast(generator, ctx, ndarrays);
+
+        let out_ndarray = match out {
+            NDArrayOut::NewNDArray { dtype } => {
+                // Create a new ndarray based on the broadcast shape.
+                let result_ndarray =
+                    NDArrayType::new(generator, ctx.ctx, dtype, broadcast_result.ndims)
+                        .construct_uninitialized(generator, ctx, None);
+                result_ndarray.copy_shape_from_array(
+                    generator,
+                    ctx,
+                    broadcast_result.shape.base_ptr(ctx, generator),
+                );
+                unsafe {
+                    result_ndarray.create_data(generator, ctx);
+                }
+                result_ndarray
+            }
+
+            NDArrayOut::WriteToNDArray { ndarray: result_ndarray } => {
+                // Use an existing ndarray.
+
+                // Check that its shape is compatible with the broadcast shape.
+                result_ndarray.assert_can_be_written_by_out(generator, ctx, broadcast_result.shape);
+                result_ndarray
+            }
+        };
+
+        // Map element-wise and store results into `mapped_ndarray`.
+        let nditer = NDIterType::new(generator, ctx.ctx).construct(generator, ctx, out_ndarray);
+        gen_for_callback(
+            generator,
+            ctx,
+            Some("broadcast_starmap"),
+            |generator, ctx| {
+                // Create NDIters for all broadcasted input ndarrays.
+                let other_nditers = broadcast_result
+                    .ndarrays
+                    .iter()
+                    .map(|ndarray| {
+                        NDIterType::new(generator, ctx.ctx).construct(generator, ctx, *ndarray)
+                    })
+                    .collect_vec();
+                Ok((nditer, other_nditers))
+            },
+            |generator, ctx, (out_nditer, _in_nditers)| {
+                // We can simply use `out_nditer`'s `has_element()`.
+                // `in_nditers`' `has_element()`s should return the same value.
+                Ok(out_nditer.has_element(generator, ctx))
+            },
+            |generator, ctx, _hooks, (out_nditer, in_nditers)| {
+                // Get all the scalars from the broadcasted input ndarrays, pass them to `mapping`,
+                // and write to `out_ndarray`.
+                let in_scalars =
+                    in_nditers.iter().map(|nditer| nditer.get_scalar(ctx)).collect_vec();
+
+                let result = mapping(generator, ctx, &in_scalars)?;
+
+                let p = out_nditer.get_pointer(ctx);
+                ctx.builder.build_store(p, result).unwrap();
+
+                Ok(())
+            },
+            |generator, ctx, (out_nditer, in_nditers)| {
+                // Advance all iterators
+                out_nditer.next(generator, ctx);
+                in_nditers.iter().for_each(|nditer| nditer.next(generator, ctx));
+                Ok(())
+            },
+        )?;
+
+        Ok(out_ndarray)
+    }
+}
+
+impl<'ctx> ScalarOrNDArray<'ctx> {
+    /// Starmap through a list of inputs using `mapping`, where an input could be an ndarray, a
+    /// scalar.
+    ///
+    /// This function is very helpful when implementing NumPy functions that takes on either scalars
+    /// or ndarrays or a mix of them as their inputs and produces either an ndarray with broadcast,
+    /// or a scalar if all its inputs are all scalars.
+    ///
+    /// For example ,this function can be used to implement `np.add`, which has the following
+    /// behaviors:
+    ///
+    /// - `np.add(3, 4) = 7` # (scalar, scalar) -> scalar
+    /// - `np.add(3, np.array([4, 5, 6]))` # (scalar, ndarray) -> ndarray; the first `scalar` is
+    ///   converted into an ndarray and broadcasted.
+    /// - `np.add(np.array([[1], [2], [3]]), np.array([[4, 5, 6]]))` # (ndarray, ndarray) ->
+    ///   ndarray; there is broadcasting.
+    ///
+    /// ## Details:
+    ///
+    /// If `inputs` are all [`ScalarOrNDArray::Scalar`], the output will be a
+    /// [`ScalarOrNDArray::Scalar`] with type `ret_dtype`.
+    ///
+    /// Otherwise (if there are any [`ScalarOrNDArray::NDArray`] in `inputs`), all inputs will be
+    /// 'as-ndarray'-ed into ndarrays, then all inputs (now all ndarrays) will be passed to
+    /// [`NDArrayValue::broadcasting_starmap`] and **create** a new ndarray with dtype `ret_dtype`.
+    pub fn broadcasting_starmap<'a, G, MappingFn>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        inputs: &[ScalarOrNDArray<'ctx>],
+        ret_dtype: BasicTypeEnum<'ctx>,
+        mapping: MappingFn,
+    ) -> Result<ScalarOrNDArray<'ctx>, String>
+    where
+        G: CodeGenerator + ?Sized,
+        MappingFn: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            &[BasicValueEnum<'ctx>],
+        ) -> Result<BasicValueEnum<'ctx>, String>,
+    {
+        // Check if all inputs are Scalars
+        let all_scalars: Option<Vec<_>> =
+            inputs.iter().map(BasicValueEnum::<'ctx>::try_from).try_collect().ok();
+
+        if let Some(scalars) = all_scalars {
+            let scalars = scalars.iter().copied().collect_vec();
+            let value = mapping(generator, ctx, &scalars)?;
+
+            Ok(ScalarOrNDArray::Scalar(value))
+        } else {
+            // Promote all input to ndarrays and map through them.
+            let inputs = inputs.iter().map(|input| input.to_ndarray(generator, ctx)).collect_vec();
+            let ndarray = NDArrayType::new_broadcast(
+                generator,
+                ctx.ctx,
+                ret_dtype,
+                &inputs.iter().map(NDArrayValue::get_type).collect_vec(),
+            )
+            .broadcast_starmap(
+                generator,
+                ctx,
+                &inputs,
+                NDArrayOut::NewNDArray { dtype: ret_dtype },
+                mapping,
+            )?;
+            Ok(ScalarOrNDArray::NDArray(ndarray))
+        }
+    }
+}

nac3core/src/codegen/types/ndarray/mod.rs

@@ -0,0 +1,452 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{BasicValue, IntValue, PointerValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use super::{
+    structure::{check_struct_type_matches_fields, StructField, StructFields},
+    ProxyType,
+};
+use crate::{
+    codegen::{
+        values::{ndarray::NDArrayValue, ProxyValue, TypedArrayLikeMutator},
+        {CodeGenContext, CodeGenerator},
+    },
+    toplevel::{helper::extract_ndims, numpy::unpack_ndarray_var_tys},
+    typecheck::typedef::Type,
+};
+pub use broadcast::*;
+pub use contiguous::*;
+pub use indexing::*;
+pub use nditer::*;
+
+mod array;
+mod broadcast;
+mod contiguous;
+pub mod factory;
+mod indexing;
+mod map;
+mod nditer;
+
+/// Proxy type for a `ndarray` type in LLVM.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct NDArrayType<'ctx> {
+    ty: PointerType<'ctx>,
+    dtype: BasicTypeEnum<'ctx>,
+    ndims: u64,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDArrayStructFields<'ctx> {
+    /// The size of each `NDArray` element in bytes.
+    #[value_type(usize)]
+    pub itemsize: StructField<'ctx, IntValue<'ctx>>,
+    /// Number of dimensions in the array.
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    /// Pointer to an array containing the shape of the `NDArray`.
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+    /// Pointer to an array indicating the number of bytes between each element at a dimension
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub strides: StructField<'ctx, PointerValue<'ctx>>,
+    /// Pointer to an array containing the array data
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Checks whether `llvm_ty` represents a `ndarray` type, returning [Err] if it does not.
+    pub fn is_representable(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        let ctx = llvm_ty.get_context();
+
+        let llvm_ndarray_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ndarray_ty) = llvm_ndarray_ty else {
+            return Err(format!("Expected struct type for `NDArray` type, got {llvm_ndarray_ty}"));
+        };
+
+        check_struct_type_matches_fields(
+            Self::fields(ctx, llvm_usize),
+            llvm_ndarray_ty,
+            "NDArray",
+            &[],
+        )
+    }
+
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(
+        ctx: impl AsContextRef<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> NDArrayStructFields<'ctx> {
+        NDArrayStructFields::new(ctx, llvm_usize)
+    }
+
+    /// See [`NDArrayType::fields`].
+    // TODO: Move this into e.g. StructProxyType
+    #[must_use]
+    pub fn get_fields(&self, ctx: impl AsContextRef<'ctx>) -> NDArrayStructFields<'ctx> {
+        Self::fields(ctx, self.llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of an `NDArray`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    /// Creates an instance of [`NDArrayType`].
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+        ndims: u64,
+    ) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_ndarray = Self::llvm_type(ctx, llvm_usize);
+
+        NDArrayType { ty: llvm_ndarray, dtype, ndims, llvm_usize }
+    }
+
+    /// Creates an instance of [`NDArrayType`] as a result of a broadcast operation over one or more
+    /// `ndarray` operands.
+    #[must_use]
+    pub fn new_broadcast<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+        inputs: &[NDArrayType<'ctx>],
+    ) -> Self {
+        assert!(!inputs.is_empty());
+
+        Self::new(generator, ctx, dtype, inputs.iter().map(NDArrayType::ndims).max().unwrap())
+    }
+
+    /// Creates an instance of [`NDArrayType`] with `ndims` of 0.
+    #[must_use]
+    pub fn new_unsized<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+    ) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_ndarray = Self::llvm_type(ctx, llvm_usize);
+
+        NDArrayType { ty: llvm_ndarray, dtype, ndims: 0, llvm_usize }
+    }
+
+    /// Creates an [`NDArrayType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        let (dtype, ndims) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
+
+        let llvm_dtype = ctx.get_llvm_type(generator, dtype);
+        let llvm_usize = generator.get_size_type(ctx.ctx);
+        let ndims = extract_ndims(&ctx.unifier, ndims);
+
+        NDArrayType {
+            ty: Self::llvm_type(ctx.ctx, llvm_usize),
+            dtype: llvm_dtype,
+            ndims,
+            llvm_usize,
+        }
+    }
+
+    /// Creates an [`NDArrayType`] from a [`PointerType`] representing an `NDArray`.
+    #[must_use]
+    pub fn from_type(
+        ptr_ty: PointerType<'ctx>,
+        dtype: BasicTypeEnum<'ctx>,
+        ndims: u64,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty, llvm_usize).is_ok());
+
+        NDArrayType { ty: ptr_ty, dtype, ndims, llvm_usize }
+    }
+
+    /// Returns the type of the `size` field of this `ndarray` type.
+    #[must_use]
+    pub fn size_type(&self) -> IntType<'ctx> {
+        self.llvm_usize
+    }
+
+    /// Returns the element type of this `ndarray` type.
+    #[must_use]
+    pub fn element_type(&self) -> BasicTypeEnum<'ctx> {
+        self.dtype
+    }
+
+    /// Returns the number of dimensions of this `ndarray` type.
+    #[must_use]
+    pub fn ndims(&self) -> u64 {
+        self.ndims
+    }
+
+    /// Allocates an instance of [`NDArrayValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`NDArrayValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an [`NDArrayValue`] on the stack and initializes all fields as follows:
+    ///
+    /// - `data`: uninitialized.
+    /// - `itemsize`: set to the size of `self.dtype`.
+    /// - `ndims`: set to the value of  `ndims`.
+    /// - `shape`: allocated on the stack with an array of length `ndims` with uninitialized values.
+    /// - `strides`: allocated on the stack with an array of length `ndims` with uninitialized
+    ///   values.
+    #[must_use]
+    fn construct_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndims: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let ndarray = self.alloca_var(generator, ctx, name);
+
+        let itemsize = ctx
+            .builder
+            .build_int_truncate_or_bit_cast(self.dtype.size_of().unwrap(), self.llvm_usize, "")
+            .unwrap();
+        ndarray.store_itemsize(ctx, generator, itemsize);
+
+        ndarray.store_ndims(ctx, generator, ndims);
+
+        ndarray.create_shape(ctx, self.llvm_usize, ndims);
+        ndarray.create_strides(ctx, self.llvm_usize, ndims);
+
+        ndarray
+    }
+
+    /// Allocate an [`NDArrayValue`] on the stack using `dtype` and `ndims` of this [`NDArrayType`]
+    /// instance.
+    ///
+    /// The returned ndarray's content will be:
+    /// - `data`: uninitialized.
+    /// - `itemsize`: set to the size of `dtype`.
+    /// - `ndims`: set to the value of `self.ndims`.
+    /// - `shape`: allocated on the stack with an array of length `ndims` with uninitialized values.
+    /// - `strides`: allocated on the stack with an array of length `ndims` with uninitialized
+    ///   values.
+    #[must_use]
+    pub fn construct_uninitialized<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let ndims = self.llvm_usize.const_int(self.ndims, false);
+
+        self.construct_impl(generator, ctx, ndims, name)
+    }
+
+    /// Convenience function. Allocate an [`NDArrayValue`] with a statically known shape.
+    ///
+    /// The returned [`NDArrayValue`]'s `data` and `strides` are uninitialized.
+    #[must_use]
+    pub fn construct_const_shape<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        shape: &[u64],
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(shape.len() as u64, self.ndims);
+
+        let ndarray = Self::new(generator, ctx.ctx, self.dtype, shape.len() as u64)
+            .construct_uninitialized(generator, ctx, name);
+
+        let llvm_usize = generator.get_size_type(ctx.ctx);
+
+        // Write shape
+        let ndarray_shape = ndarray.shape();
+        for (i, dim) in shape.iter().enumerate() {
+            let dim = llvm_usize.const_int(*dim, false);
+            unsafe {
+                ndarray_shape.set_typed_unchecked(
+                    ctx,
+                    generator,
+                    &llvm_usize.const_int(i as u64, false),
+                    dim,
+                );
+            }
+        }
+
+        ndarray
+    }
+
+    /// Convenience function. Allocate an [`NDArrayValue`] with a dynamically known shape.
+    ///
+    /// The returned [`NDArrayValue`]'s `data` and `strides` are uninitialized.
+    #[must_use]
+    pub fn construct_dyn_shape<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        shape: &[IntValue<'ctx>],
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(shape.len() as u64, self.ndims);
+
+        let ndarray = Self::new(generator, ctx.ctx, self.dtype, shape.len() as u64)
+            .construct_uninitialized(generator, ctx, name);
+
+        let llvm_usize = generator.get_size_type(ctx.ctx);
+
+        // Write shape
+        let ndarray_shape = ndarray.shape();
+        for (i, dim) in shape.iter().enumerate() {
+            assert_eq!(
+                dim.get_type(),
+                llvm_usize,
+                "Expected {} but got {}",
+                llvm_usize.print_to_string(),
+                dim.get_type().print_to_string()
+            );
+            unsafe {
+                ndarray_shape.set_typed_unchecked(
+                    ctx,
+                    generator,
+                    &llvm_usize.const_int(i as u64, false),
+                    *dim,
+                );
+            }
+        }
+
+        ndarray
+    }
+
+    /// Create an unsized ndarray to contain `value`.
+    #[must_use]
+    pub fn construct_unsized<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: &impl BasicValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> NDArrayValue<'ctx> {
+        let value = value.as_basic_value_enum();
+
+        assert_eq!(value.get_type(), self.dtype);
+        assert_eq!(self.ndims, 0);
+
+        // We have to put the value on the stack to get a data pointer.
+        let data = ctx.builder.build_alloca(value.get_type(), "construct_unsized").unwrap();
+        ctx.builder.build_store(data, value).unwrap();
+        let data = ctx
+            .builder
+            .build_pointer_cast(data, ctx.ctx.i8_type().ptr_type(AddressSpace::default()), "")
+            .unwrap();
+
+        let ndarray = Self::new_unsized(generator, ctx.ctx, value.get_type())
+            .construct_uninitialized(generator, ctx, name);
+        ctx.builder.build_store(ndarray.ptr_to_data(ctx), data).unwrap();
+        ndarray
+    }
+
+    /// Converts an existing value into a [`NDArrayValue`].
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for NDArrayType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = NDArrayValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty, generator.get_size_type(ctx))
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<NDArrayType<'ctx>> for PointerType<'ctx> {
+    fn from(value: NDArrayType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/ndarray/nditer.rs

@@ -0,0 +1,237 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{IntValue, PointerValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use super::ProxyType;
+use crate::codegen::{
+    irrt,
+    types::structure::{check_struct_type_matches_fields, StructField, StructFields},
+    values::{
+        ndarray::{NDArrayValue, NDIterValue},
+        ArrayLikeValue, ArraySliceValue, ProxyValue, TypedArrayLikeAdapter,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct NDIterType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDIterStructFields<'ctx> {
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub strides: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub indices: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    pub nth: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub element: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    pub size: StructField<'ctx, IntValue<'ctx>>,
+}
+
+impl<'ctx> NDIterType<'ctx> {
+    /// Checks whether `llvm_ty` represents a `nditer` type, returning [Err] if it does not.
+    pub fn is_representable(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        let ctx = llvm_ty.get_context();
+
+        let llvm_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ndarray_ty) = llvm_ty else {
+            return Err(format!("Expected struct type for `NDIter` type, got {llvm_ty}"));
+        };
+
+        check_struct_type_matches_fields(
+            Self::fields(ctx, llvm_usize),
+            llvm_ndarray_ty,
+            "NDIter",
+            &[],
+        )
+    }
+
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(ctx: impl AsContextRef<'ctx>, llvm_usize: IntType<'ctx>) -> NDIterStructFields<'ctx> {
+        NDIterStructFields::new(ctx, llvm_usize)
+    }
+
+    /// See [`NDIterType::fields`].
+    // TODO: Move this into e.g. StructProxyType
+    #[must_use]
+    pub fn get_fields(&self, ctx: impl AsContextRef<'ctx>) -> NDIterStructFields<'ctx> {
+        Self::fields(ctx, self.llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of an `NDIter`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    /// Creates an instance of [`NDIter`].
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(generator: &G, ctx: &'ctx Context) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_nditer = Self::llvm_type(ctx, llvm_usize);
+
+        Self { ty: llvm_nditer, llvm_usize }
+    }
+
+    /// Creates an [`NDIterType`] from a [`PointerType`] representing an `NDIter`.
+    #[must_use]
+    pub fn from_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Returns the type of the `size` field of this `nditer` type.
+    #[must_use]
+    pub fn size_type(&self) -> IntType<'ctx> {
+        self.llvm_usize
+    }
+
+    /// Allocates an instance of [`NDIterValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`NDIterValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocate an [`NDIter`] that iterates through the given `ndarray`.
+    ///
+    /// Note: This function allocates an array on the stack at the current builder location, which
+    /// may lead to stack explosion if called in a hot loop. Therefore, callers are recommended to
+    /// call `llvm.stacksave` before calling this function and call `llvm.stackrestore` after the
+    /// [`NDIter`] is no longer needed.
+    #[must_use]
+    pub fn construct<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndarray: NDArrayValue<'ctx>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let nditer = self.raw_alloca_var(generator, ctx, None);
+        let ndims = self.llvm_usize.const_int(ndarray.get_type().ndims(), false);
+
+        // The caller has the responsibility to allocate 'indices' for `NDIter`.
+        let indices =
+            generator.gen_array_var_alloc(ctx, self.llvm_usize.into(), ndims, None).unwrap();
+        let indices =
+            TypedArrayLikeAdapter::from(indices, |_, _, v| v.into_int_value(), |_, _, v| v.into());
+
+        let nditer = self.map_value(nditer, ndarray, indices.as_slice_value(ctx, generator), None);
+
+        irrt::ndarray::call_nac3_nditer_initialize(generator, ctx, nditer, ndarray, &indices);
+
+        nditer
+    }
+
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for NDIterType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = NDIterValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty, generator.get_size_type(ctx))
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<NDIterType<'ctx>> for PointerType<'ctx> {
+    fn from(value: NDIterType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/range.rs

@@ -0,0 +1,155 @@
+use inkwell::{
+    context::Context,
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType},
+    AddressSpace,
+};
+
+use super::ProxyType;
+use crate::codegen::{
+    values::{ProxyValue, RangeValue},
+    {CodeGenContext, CodeGenerator},
+};
+
+/// Proxy type for a `range` type in LLVM.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct RangeType<'ctx> {
+    ty: PointerType<'ctx>,
+}
+
+impl<'ctx> RangeType<'ctx> {
+    /// Checks whether `llvm_ty` represents a `range` type, returning [Err] if it does not.
+    pub fn is_representable(llvm_ty: PointerType<'ctx>) -> Result<(), String> {
+        let llvm_range_ty = llvm_ty.get_element_type();
+        let AnyTypeEnum::ArrayType(llvm_range_ty) = llvm_range_ty else {
+            return Err(format!("Expected array type for `range` type, got {llvm_range_ty}"));
+        };
+        if llvm_range_ty.len() != 3 {
+            return Err(format!(
+                "Expected 3 elements for `range` type, got {}",
+                llvm_range_ty.len()
+            ));
+        }
+
+        let llvm_range_elem_ty = llvm_range_ty.get_element_type();
+        let Ok(llvm_range_elem_ty) = IntType::try_from(llvm_range_elem_ty) else {
+            return Err(format!(
+                "Expected int type for `range` element type, got {llvm_range_elem_ty}"
+            ));
+        };
+        if llvm_range_elem_ty.get_bit_width() != 32 {
+            return Err(format!(
+                "Expected 32-bit int type for `range` element type, got {}",
+                llvm_range_elem_ty.get_bit_width()
+            ));
+        }
+
+        Ok(())
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of a `Range`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context) -> PointerType<'ctx> {
+        // typedef int32_t Range[3];
+        let llvm_i32 = ctx.i32_type();
+        llvm_i32.array_type(3).ptr_type(AddressSpace::default())
+    }
+
+    /// Creates an instance of [`RangeType`].
+    #[must_use]
+    pub fn new(ctx: &'ctx Context) -> Self {
+        let llvm_range = Self::llvm_type(ctx);
+
+        RangeType::from_type(llvm_range)
+    }
+
+    /// Creates an [`RangeType`] from a [`PointerType`].
+    #[must_use]
+    pub fn from_type(ptr_ty: PointerType<'ctx>) -> Self {
+        debug_assert!(Self::is_representable(ptr_ty).is_ok());
+
+        RangeType { ty: ptr_ty }
+    }
+
+    /// Returns the type of all fields of this `range` type.
+    #[must_use]
+    pub fn value_type(&self) -> IntType<'ctx> {
+        self.as_base_type().get_element_type().into_array_type().get_element_type().into_int_type()
+    }
+
+    /// Allocates an instance of [`RangeValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(self.raw_alloca(ctx, name), name)
+    }
+
+    /// Allocates an instance of [`RangeValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`RangeValue`].
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for RangeType<'ctx> {
+    type Base = PointerType<'ctx>;
+    type Value = RangeValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        _: &G,
+        _: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty)
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<RangeType<'ctx>> for PointerType<'ctx> {
+    fn from(value: RangeType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/structure.rs

@@ -0,0 +1,270 @@
+use std::marker::PhantomData;
+
+use inkwell::{
+    context::AsContextRef,
+    types::{BasicTypeEnum, IntType, StructType},
+    values::{BasicValue, BasicValueEnum, IntValue, PointerValue, StructValue},
+};
+use itertools::Itertools;
+
+use crate::codegen::CodeGenContext;
+
+/// Trait indicating that the structure is a field-wise representation of an LLVM structure.
+///
+/// # Usage
+///
+/// For example, for a simple C-slice LLVM structure:
+///
+/// ```ignore
+/// struct CSliceFields<'ctx> {
+///     ptr: StructField<'ctx, PointerValue<'ctx>>,
+///     len: StructField<'ctx, IntValue<'ctx>>
+/// }
+/// ```
+pub trait StructFields<'ctx>: Eq + Copy {
+    /// Creates an instance of [`StructFields`] using the given `ctx` and `size_t` types.
+    fn new(ctx: impl AsContextRef<'ctx>, llvm_usize: IntType<'ctx>) -> Self;
+
+    /// Returns a [`Vec`] that contains the fields of the structure in the order as they appear in
+    /// the type definition.
+    #[must_use]
+    fn to_vec(&self) -> Vec<(&'static str, BasicTypeEnum<'ctx>)>;
+
+    /// Returns a [`Iterator`] that contains the fields of the structure in the order as they appear
+    /// in the type definition.
+    #[must_use]
+    fn iter(&self) -> impl Iterator<Item = (&'static str, BasicTypeEnum<'ctx>)> {
+        self.to_vec().into_iter()
+    }
+
+    /// Returns a [`Vec`] that contains the fields of the structure in the order as they appear in
+    /// the type definition.
+    #[must_use]
+    fn into_vec(self) -> Vec<(&'static str, BasicTypeEnum<'ctx>)>
+    where
+        Self: Sized,
+    {
+        self.to_vec()
+    }
+
+    /// Returns a [`Iterator`] that contains the fields of the structure in the order as they appear
+    /// in the type definition.
+    #[must_use]
+    fn into_iter(self) -> impl Iterator<Item = (&'static str, BasicTypeEnum<'ctx>)>
+    where
+        Self: Sized,
+    {
+        self.into_vec().into_iter()
+    }
+
+    /// Returns the field index of a field in this structure.
+    fn index_of_field<V>(&self, name: impl FnOnce(&Self) -> StructField<'ctx, V>) -> u32
+    where
+        V: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+    {
+        let field_name = name(self).name;
+        self.index_of_field_name(field_name).unwrap()
+    }
+
+    /// Returns the field index of a field with the given name in this structure.
+    fn index_of_field_name(&self, field_name: &str) -> Option<u32> {
+        self.iter().find_position(|(name, _)| *name == field_name).map(|(idx, _)| idx as u32)
+    }
+}
+
+/// A single field of an LLVM structure.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct StructField<'ctx, Value>
+where
+    Value: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+{
+    /// The index of this field within the structure.
+    index: u32,
+
+    /// The name of this field.
+    name: &'static str,
+
+    /// The type of this field.
+    ty: BasicTypeEnum<'ctx>,
+
+    /// Instance of [`PhantomData`] containing [`Value`], used to implement automatic downcasts.
+    _value_ty: PhantomData<Value>,
+}
+
+impl<'ctx, Value> StructField<'ctx, Value>
+where
+    Value: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+{
+    /// Creates an instance of [`StructField`].
+    ///
+    /// * `idx_counter` - The instance of [`FieldIndexCounter`] used to track the current field
+    ///   index.
+    /// * `name` - Name of the field.
+    /// * `ty` - The type of this field.
+    pub fn create(
+        idx_counter: &mut FieldIndexCounter,
+        name: &'static str,
+        ty: impl Into<BasicTypeEnum<'ctx>>,
+    ) -> Self {
+        StructField { index: idx_counter.increment(), name, ty: ty.into(), _value_ty: PhantomData }
+    }
+
+    /// Creates an instance of [`StructField`] with a given index.
+    ///
+    /// * `index` - The index of this field within its enclosing structure.
+    /// * `name` - Name of the field.
+    /// * `ty` - The type of this field.
+    pub fn create_at(index: u32, name: &'static str, ty: impl Into<BasicTypeEnum<'ctx>>) -> Self {
+        StructField { index, name, ty: ty.into(), _value_ty: PhantomData }
+    }
+
+    /// Returns the name of this field.
+    #[must_use]
+    pub fn name(&self) -> &'static str {
+        self.name
+    }
+
+    /// Creates a pointer to this field in an arbitrary structure by performing a `getelementptr i32
+    /// {idx...}, i32 {self.index}`.
+    pub fn ptr_by_array_gep(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        idx: &[IntValue<'ctx>],
+    ) -> PointerValue<'ctx> {
+        unsafe {
+            ctx.builder.build_in_bounds_gep(
+                pobj,
+                &[idx, &[ctx.ctx.i32_type().const_int(u64::from(self.index), false)]].concat(),
+                "",
+            )
+        }
+        .unwrap()
+    }
+
+    /// Creates a pointer to this field in an arbitrary structure by performing the equivalent of
+    /// `getelementptr i32 0, i32 {self.index}`.
+    pub fn ptr_by_gep(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        obj_name: Option<&'ctx str>,
+    ) -> PointerValue<'ctx> {
+        ctx.builder
+            .build_struct_gep(
+                pobj,
+                self.index,
+                &obj_name.map(|name| format!("{name}.{}.addr", self.name)).unwrap_or_default(),
+            )
+            .unwrap()
+    }
+
+    /// Gets the value of this field for a given `obj`.
+    #[must_use]
+    pub fn get_from_value(&self, obj: StructValue<'ctx>) -> Value {
+        obj.get_field_at_index(self.index).and_then(|value| Value::try_from(value).ok()).unwrap()
+    }
+
+    /// Sets the value of this field for a given `obj`.
+    pub fn set_for_value(&self, obj: StructValue<'ctx>, value: Value) {
+        obj.set_field_at_index(self.index, value);
+    }
+
+    /// Gets the value of this field for a pointer-to-structure.
+    pub fn get(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        obj_name: Option<&'ctx str>,
+    ) -> Value {
+        ctx.builder
+            .build_load(
+                self.ptr_by_gep(ctx, pobj, obj_name),
+                &obj_name.map(|name| format!("{name}.{}", self.name)).unwrap_or_default(),
+            )
+            .map_err(|_| ())
+            .and_then(|value| Value::try_from(value))
+            .unwrap()
+    }
+
+    /// Sets the value of this field for a pointer-to-structure.
+    pub fn set(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        value: Value,
+        obj_name: Option<&'ctx str>,
+    ) {
+        ctx.builder.build_store(self.ptr_by_gep(ctx, pobj, obj_name), value).unwrap();
+    }
+}
+
+impl<'ctx, Value> From<StructField<'ctx, Value>> for (&'static str, BasicTypeEnum<'ctx>)
+where
+    Value: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+{
+    fn from(value: StructField<'ctx, Value>) -> Self {
+        (value.name, value.ty)
+    }
+}
+
+/// A counter that tracks the next index of a field using a monotonically increasing counter.
+#[derive(Default, Debug, PartialEq, Eq, Clone, Copy)]
+pub struct FieldIndexCounter(u32);
+
+impl FieldIndexCounter {
+    /// Increments the number stored by this counter, returning the previous value.
+    ///
+    /// Functionally equivalent to `i++` in C-based languages.
+    pub fn increment(&mut self) -> u32 {
+        let v = self.0;
+        self.0 += 1;
+        v
+    }
+}
+
+type FieldTypeVerifier<'ctx> = dyn Fn(BasicTypeEnum<'ctx>) -> Result<(), String>;
+
+/// Checks whether [`llvm_ty`][StructType] contains the fields described by the given
+/// [`StructFields`] instance.
+///
+/// By default, this function will compare the type of each field in `expected_fields` against
+/// `llvm_ty`. To override this behavior for individual fields, pass in overrides to
+/// `custom_verifiers`, which will use the specified verifier when a field with the matching field
+/// name is being checked.
+pub(super) fn check_struct_type_matches_fields<'ctx>(
+    expected_fields: impl StructFields<'ctx>,
+    llvm_ty: StructType<'ctx>,
+    ty_name: &'static str,
+    custom_verifiers: &[(&str, &FieldTypeVerifier<'ctx>)],
+) -> Result<(), String> {
+    let expected_fields = expected_fields.to_vec();
+
+    if llvm_ty.count_fields() != u32::try_from(expected_fields.len()).unwrap() {
+        return Err(format!(
+            "Expected {} fields in `{ty_name}`, got {}",
+            expected_fields.len(),
+            llvm_ty.count_fields(),
+        ));
+    }
+
+    expected_fields
+        .into_iter()
+        .enumerate()
+        .map(|(i, (field_name, expected_ty))| {
+            (field_name, expected_ty, llvm_ty.get_field_type_at_index(i as u32).unwrap())
+        })
+        .try_for_each(|(field_name, expected_ty, actual_ty)| {
+            if let Some((_, verifier)) =
+                custom_verifiers.iter().find(|verifier| verifier.0 == field_name)
+            {
+                verifier(actual_ty)
+            } else if expected_ty == actual_ty {
+                Ok(())
+            } else {
+                Err(format!("Expected {expected_ty} for `{ty_name}.{field_name}`, got {actual_ty}"))
+            }
+        })?;
+
+    Ok(())
+}

nac3core/src/codegen/types/tuple.rs

@@ -0,0 +1,184 @@
+use inkwell::{
+    context::Context,
+    types::{BasicType, BasicTypeEnum, IntType, StructType},
+    values::BasicValueEnum,
+};
+use itertools::Itertools;
+
+use super::ProxyType;
+use crate::{
+    codegen::{
+        values::{ProxyValue, TupleValue},
+        CodeGenContext, CodeGenerator,
+    },
+    typecheck::typedef::{Type, TypeEnum},
+};
+
+#[derive(Debug, PartialEq, Eq, Clone)]
+pub struct TupleType<'ctx> {
+    ty: StructType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+impl<'ctx> TupleType<'ctx> {
+    /// Checks whether `llvm_ty` represents any tuple type, returning [Err] if it does not.
+    pub fn is_representable(_value: StructType<'ctx>) -> Result<(), String> {
+        Ok(())
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of a tuple.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, tys: &[BasicTypeEnum<'ctx>]) -> StructType<'ctx> {
+        ctx.struct_type(tys, false)
+    }
+
+    /// Creates an instance of [`TupleType`].
+    #[must_use]
+    pub fn new<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        tys: &[BasicTypeEnum<'ctx>],
+    ) -> Self {
+        let llvm_usize = generator.get_size_type(ctx);
+        let llvm_tuple = Self::llvm_type(ctx, tys);
+
+        Self { ty: llvm_tuple, llvm_usize }
+    }
+
+    /// Creates an [`TupleType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        let llvm_usize = generator.get_size_type(ctx.ctx);
+
+        // Sanity check on object type.
+        let TypeEnum::TTuple { ty: tys, .. } = &*ctx.unifier.get_ty_immutable(ty) else {
+            panic!("Expected type to be a TypeEnum::TTuple, got {}", ctx.unifier.stringify(ty));
+        };
+
+        let llvm_tys = tys.iter().map(|ty| ctx.get_llvm_type(generator, *ty)).collect_vec();
+        Self { ty: Self::llvm_type(ctx.ctx, &llvm_tys), llvm_usize }
+    }
+
+    /// Creates an [`TupleType`] from a [`StructType`].
+    #[must_use]
+    pub fn from_type(struct_ty: StructType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::is_representable(struct_ty).is_ok());
+
+        TupleType { ty: struct_ty, llvm_usize }
+    }
+
+    /// Returns the number of elements present in this [`TupleType`].
+    #[must_use]
+    pub fn num_elements(&self) -> u32 {
+        self.ty.count_fields()
+    }
+
+    /// Returns the type of the tuple element at the given `index`, or [`None`] if `index` is out of
+    /// range.
+    #[must_use]
+    pub fn type_at_index(&self, index: u32) -> Option<BasicTypeEnum<'ctx>> {
+        if index < self.num_elements() {
+            Some(unsafe { self.type_at_index_unchecked(index) })
+        } else {
+            None
+        }
+    }
+
+    /// Returns the type of the tuple element at the given `index`.
+    ///
+    /// # Safety
+    ///
+    /// The caller must ensure that the index is valid.
+    #[must_use]
+    pub unsafe fn type_at_index_unchecked(&self, index: u32) -> BasicTypeEnum<'ctx> {
+        self.ty.get_field_type_at_index_unchecked(index)
+    }
+
+    /// Constructs a [`TupleValue`] from this type by zero-initializing the tuple value.
+    #[must_use]
+    pub fn construct(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        self.map_value(Self::llvm_type(ctx.ctx, &self.ty.get_field_types()).const_zero(), name)
+    }
+
+    /// Constructs a [`TupleValue`] from `objects`. The resulting tuple preserves the order of
+    /// objects.
+    #[must_use]
+    pub fn construct_from_objects<I: IntoIterator<Item = BasicValueEnum<'ctx>>>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        objects: I,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let values = objects.into_iter().collect_vec();
+
+        assert_eq!(values.len(), self.num_elements() as usize);
+        assert!(values
+            .iter()
+            .enumerate()
+            .all(|(i, v)| { v.get_type() == unsafe { self.type_at_index_unchecked(i as u32) } }));
+
+        let mut value = self.construct(ctx, name);
+        for (i, val) in values.into_iter().enumerate() {
+            value.store_element(ctx, i as u32, val);
+        }
+
+        value
+    }
+
+    /// Converts an existing value into a [`ListValue`].
+    #[must_use]
+    pub fn map_value(
+        &self,
+        value: <<Self as ProxyType<'ctx>>::Value as ProxyValue<'ctx>>::Base,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for TupleType<'ctx> {
+    type Base = StructType<'ctx>;
+    type Value = TupleValue<'ctx>;
+
+    fn is_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        llvm_ty: impl BasicType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::StructType(ty) = llvm_ty.as_basic_type_enum() {
+            <Self as ProxyType<'ctx>>::is_representable(generator, ctx, ty)
+        } else {
+            Err(format!("Expected struct type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn is_representable<G: CodeGenerator + ?Sized>(
+        _generator: &G,
+        _ctx: &'ctx Context,
+        llvm_ty: Self::Base,
+    ) -> Result<(), String> {
+        Self::is_representable(llvm_ty)
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+}
+
+impl<'ctx> From<TupleType<'ctx>> for StructType<'ctx> {
+    fn from(value: TupleType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}