[standalone] Add demo for global variables

Needed in a future commit.

.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

.gitignore

@@ -1,3 +1,4 @@
 __pycache__
 /target
+/nac3standalone/demo/linalg/target
 nix/windows/msys2

.pre-commit-config.yaml

@@ -8,17 +8,17 @@ repos:
     hooks:
       - id: nac3-cargo-fmt
         name: nac3 cargo format
-        entry: cargo
+        entry: nix
         language: system
         types: [file, rust]
         pass_filenames: false
         description: Runs cargo fmt on the codebase.
-        args: [fmt]
+        args: [develop, -c, cargo, fmt, --all]
       - id: nac3-cargo-clippy
         name: nac3 cargo clippy
-        entry: cargo
+        entry: nix
         language: system
         types: [file, rust]
         pass_filenames: false
         description: Runs cargo clippy on the codebase.
-        args: [clippy, --tests]
+        args: [develop, -c, cargo, clippy, --tests]

flake.lock

@@ -2,11 +2,11 @@
   "nodes": {
     "nixpkgs": {
       "locked": {
-        "lastModified": 1718530797,
-        "narHash": "sha256-pup6cYwtgvzDpvpSCFh1TEUjw2zkNpk8iolbKnyFmmU=",
+        "lastModified": 1727348695,
+        "narHash": "sha256-J+PeFKSDV+pHL7ukkfpVzCOO7mBSrrpJ3svwBFABbhI=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "b60ebf54c15553b393d144357375ea956f89e9a9",
+        "rev": "1925c603f17fc89f4c8f6bf6f631a802ad85d784",
         "type": "github"
       },
       "original": {

flake.nix

@@ -6,6 +6,7 @@
   outputs = { self, nixpkgs }:
     let
       pkgs = import nixpkgs { system = "x86_64-linux"; };
+      pkgs32 = import nixpkgs { system = "i686-linux"; };
     in rec {
       packages.x86_64-linux = rec {
         llvm-nac3 = pkgs.callPackage ./nix/llvm {};
@@ -15,6 +16,22 @@
           ln -s ${pkgs.llvmPackages_14.clang-unwrapped}/bin/clang $out/bin/clang-irrt
           ln -s ${pkgs.llvmPackages_14.llvm.out}/bin/llvm-as $out/bin/llvm-as-irrt
           '';
+        demo-linalg-stub = pkgs.rustPlatform.buildRustPackage {
+          name = "demo-linalg-stub";
+          src = ./nac3standalone/demo/linalg;
+          cargoLock = {
+            lockFile = ./nac3standalone/demo/linalg/Cargo.lock;
+          };
+          doCheck = false;
+        };
+        demo-linalg-stub32 = pkgs32.rustPlatform.buildRustPackage {
+          name = "demo-linalg-stub32";
+          src = ./nac3standalone/demo/linalg;
+          cargoLock = {
+            lockFile = ./nac3standalone/demo/linalg/Cargo.lock;
+          };
+          doCheck = false;
+        };
         nac3artiq = pkgs.python3Packages.toPythonModule (
           pkgs.rustPlatform.buildRustPackage rec {
             name = "nac3artiq";
@@ -24,7 +41,7 @@
               lockFile = ./Cargo.lock;
             };
             passthru.cargoLock = cargoLock;
-            nativeBuildInputs = [ pkgs.python3 pkgs.llvmPackages_14.clang llvm-tools-irrt pkgs.llvmPackages_14.llvm.out llvm-nac3 ];
+            nativeBuildInputs = [ pkgs.python3 (pkgs.wrapClangMulti pkgs.llvmPackages_14.clang) llvm-tools-irrt pkgs.llvmPackages_14.llvm.out llvm-nac3 ];
             buildInputs = [ pkgs.python3 llvm-nac3 ];
             checkInputs = [ (pkgs.python3.withPackages(ps: [ ps.numpy ps.scipy ])) ];
             checkPhase =
@@ -32,7 +49,9 @@
               echo "Checking nac3standalone demos..."
               pushd nac3standalone/demo
               patchShebangs .
-              ./check_demos.sh
+              export DEMO_LINALG_STUB=${demo-linalg-stub}/lib/liblinalg.a
+              export DEMO_LINALG_STUB32=${demo-linalg-stub32}/lib/liblinalg.a
+              ./check_demos.sh -i686
               popd
               echo "Running Cargo tests..."
               cargoCheckHook
@@ -149,7 +168,7 @@
         buildInputs = with pkgs; [
           # build dependencies
           packages.x86_64-linux.llvm-nac3
-          llvmPackages_14.clang llvmPackages_14.llvm.out  # for running nac3standalone demos
+          (pkgs.wrapClangMulti llvmPackages_14.clang) llvmPackages_14.llvm.out  # for running nac3standalone demos
           packages.x86_64-linux.llvm-tools-irrt
           cargo
           rustc
@@ -162,6 +181,11 @@
           pre-commit
           rustfmt
         ];
+        shellHook =
+          ''
+          export DEMO_LINALG_STUB=${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";

nac3artiq/Cargo.toml

@@ -12,15 +12,10 @@ crate-type = ["cdylib"]
 itertools = "0.13"
 pyo3 = { version = "0.21", features = ["extension-module", "gil-refs"] }
 parking_lot = "0.12"
-tempfile = "3.10"
-nac3parser = { path = "../nac3parser" }
+tempfile = "3.13"
 nac3core = { path = "../nac3core" }
 nac3ld = { path = "../nac3ld" }
 
-[dependencies.inkwell]
-version = "0.4"
-default-features = false
-features = ["llvm14-0", "target-x86", "target-arm", "target-riscv", "no-libffi-linking"]
-
 [features]
 init-llvm-profile = []
+no-escape-analysis = ["nac3core/no-escape-analysis"]

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

@@ -112,10 +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."""

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/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/lib.rs

@@ -16,63 +16,67 @@
     clippy::wildcard_imports
 )]
 
-use std::collections::{HashMap, HashSet};
-use std::fs;
-use std::io::Write;
-use std::process::Command;
-use std::rc::Rc;
-use std::sync::Arc;
-
-use inkwell::{
-    memory_buffer::MemoryBuffer,
-    module::{Linkage, Module},
-    passes::PassBuilderOptions,
-    support::is_multithreaded,
-    targets::*,
-    OptimizationLevel,
+use std::{
+    collections::{HashMap, HashSet},
+    fs,
+    io::Write,
+    process::Command,
+    rc::Rc,
+    sync::Arc,
 };
+
 use itertools::Itertools;
-use nac3core::codegen::{gen_func_impl, CodeGenLLVMOptions, CodeGenTargetMachineOptions};
-use nac3core::toplevel::builtins::get_exn_constructor;
-use nac3core::typecheck::typedef::{TypeEnum, Unifier, VarMap};
-use nac3parser::{
-    ast::{ExprKind, Stmt, StmtKind, StrRef},
-    parser::parse_program,
-};
-use pyo3::create_exception;
-use pyo3::prelude::*;
-use pyo3::{exceptions, types::PyBytes, types::PyDict, types::PySet};
-
 use parking_lot::{Mutex, RwLock};
-
-use nac3core::{
-    codegen::irrt::load_irrt,
-    codegen::{concrete_type::ConcreteTypeStore, CodeGenTask, WithCall, WorkerRegistry},
-    symbol_resolver::SymbolResolver,
-    toplevel::{
-        composer::{ComposerConfig, TopLevelComposer},
-        DefinitionId, GenCall, TopLevelDef,
-    },
-    typecheck::typedef::{FunSignature, FuncArg},
-    typecheck::{type_inferencer::PrimitiveStore, typedef::Type},
+use pyo3::{
+    create_exception, exceptions,
+    prelude::*,
+    types::{PyBytes, PyDict, PySet},
 };
-
-use nac3ld::Linker;
-
 use tempfile::{self, TempDir};
 
-use crate::codegen::attributes_writeback;
+use nac3core::{
+    codegen::{
+        concrete_type::ConcreteTypeStore, gen_func_impl, irrt::load_irrt, CodeGenLLVMOptions,
+        CodeGenTargetMachineOptions, CodeGenTask, WithCall, WorkerRegistry,
+    },
+    inkwell::{
+        context::Context,
+        memory_buffer::MemoryBuffer,
+        module::{Linkage, Module},
+        passes::PassBuilderOptions,
+        support::is_multithreaded,
+        targets::*,
+        OptimizationLevel,
+    },
+    nac3parser::{
+        ast::{Constant, ExprKind, Located, Stmt, StmtKind, StrRef},
+        parser::parse_program,
+    },
+    symbol_resolver::SymbolResolver,
+    toplevel::{
+        builtins::get_exn_constructor,
+        composer::{BuiltinFuncCreator, BuiltinFuncSpec, ComposerConfig, TopLevelComposer},
+        DefinitionId, GenCall, TopLevelDef,
+    },
+    typecheck::{
+        type_inferencer::PrimitiveStore,
+        typedef::{into_var_map, FunSignature, FuncArg, Type, TypeEnum, Unifier, VarMap},
+    },
+};
+use nac3ld::Linker;
+
 use crate::{
-    codegen::{rpc_codegen_callback, ArtiqCodeGenerator},
+    codegen::{
+        attributes_writeback, gen_core_log, gen_rtio_log, rpc_codegen_callback, ArtiqCodeGenerator,
+    },
     symbol_resolver::{DeferredEvaluationStore, InnerResolver, PythonHelper, Resolver},
+    timeline::TimeFns,
 };
 
 mod codegen;
 mod symbol_resolver;
 mod timeline;
 
-use timeline::TimeFns;
-
 #[derive(PartialEq, Clone, Copy)]
 enum Isa {
     Host,
@@ -126,7 +130,7 @@ struct Nac3 {
     isa: Isa,
     time_fns: &'static (dyn TimeFns + Sync),
     primitive: PrimitiveStore,
-    builtins: Vec<(StrRef, FunSignature, Arc<GenCall>)>,
+    builtins: Vec<BuiltinFuncSpec>,
     pyid_to_def: Arc<RwLock<HashMap<u64, DefinitionId>>>,
     primitive_ids: PrimitivePythonId,
     working_directory: TempDir,
@@ -193,10 +197,8 @@ impl Nac3 {
                     body.retain(|stmt| {
                         if let StmtKind::FunctionDef { ref decorator_list, .. } = stmt.node {
                             decorator_list.iter().any(|decorator| {
-                                if let ExprKind::Name { id, .. } = decorator.node {
-                                    id.to_string() == "kernel"
-                                        || id.to_string() == "portable"
-                                        || id.to_string() == "rpc"
+                                if let Some(id) = decorator_id_string(decorator) {
+                                    id == "kernel" || id == "portable" || id == "rpc"
                                 } else {
                                     false
                                 }
@@ -209,9 +211,8 @@ impl Nac3 {
                 }
                 StmtKind::FunctionDef { ref decorator_list, .. } => {
                     decorator_list.iter().any(|decorator| {
-                        if let ExprKind::Name { id, .. } = decorator.node {
-                            let id = id.to_string();
-                            id == "extern" || id == "portable" || id == "kernel" || id == "rpc"
+                        if let Some(id) = decorator_id_string(decorator) {
+                            id == "extern" || id == "kernel" || id == "portable" || id == "rpc"
                         } else {
                             false
                         }
@@ -264,7 +265,7 @@ impl Nac3 {
                     arg_names.len(),
                 ));
             }
-            for (i, FuncArg { ty, default_value, name }) in args.iter().enumerate() {
+            for (i, FuncArg { ty, default_value, name, .. }) in args.iter().enumerate() {
                 let in_name = match arg_names.get(i) {
                     Some(n) => n,
                     None if default_value.is_none() => {
@@ -300,6 +301,64 @@ impl Nac3 {
         None
     }
 
+    /// Returns a [`Vec`] of builtins that needs to be initialized during method compilation time.
+    fn get_lateinit_builtins() -> Vec<Box<BuiltinFuncCreator>> {
+        vec![
+            Box::new(|primitives, unifier| {
+                let arg_ty = unifier.get_fresh_var(Some("T".into()), None);
+
+                (
+                    "core_log".into(),
+                    FunSignature {
+                        args: vec![FuncArg {
+                            name: "arg".into(),
+                            ty: arg_ty.ty,
+                            default_value: None,
+                            is_vararg: false,
+                        }],
+                        ret: primitives.none,
+                        vars: into_var_map([arg_ty]),
+                    },
+                    Arc::new(GenCall::new(Box::new(move |ctx, obj, fun, args, generator| {
+                        gen_core_log(ctx, &obj, fun, &args, generator)?;
+
+                        Ok(None)
+                    }))),
+                )
+            }),
+            Box::new(|primitives, unifier| {
+                let arg_ty = unifier.get_fresh_var(Some("T".into()), None);
+
+                (
+                    "rtio_log".into(),
+                    FunSignature {
+                        args: vec![
+                            FuncArg {
+                                name: "channel".into(),
+                                ty: primitives.str,
+                                default_value: None,
+                                is_vararg: false,
+                            },
+                            FuncArg {
+                                name: "arg".into(),
+                                ty: arg_ty.ty,
+                                default_value: None,
+                                is_vararg: false,
+                            },
+                        ],
+                        ret: primitives.none,
+                        vars: into_var_map([arg_ty]),
+                    },
+                    Arc::new(GenCall::new(Box::new(move |ctx, obj, fun, args, generator| {
+                        gen_rtio_log(ctx, &obj, fun, &args, generator)?;
+
+                        Ok(None)
+                    }))),
+                )
+            }),
+        ]
+    }
+
     fn compile_method<T>(
         &self,
         obj: &PyAny,
@@ -312,6 +371,7 @@ impl Nac3 {
         let size_t = self.isa.get_size_type();
         let (mut composer, mut builtins_def, mut builtins_ty) = TopLevelComposer::new(
             self.builtins.clone(),
+            Self::get_lateinit_builtins(),
             ComposerConfig { kernel_ann: Some("Kernel"), kernel_invariant_ann: "KernelInvariant" },
             size_t,
         );
@@ -388,7 +448,6 @@ impl Nac3 {
                         pyid_to_type: pyid_to_type.clone(),
                         primitive_ids: self.primitive_ids.clone(),
                         global_value_ids: global_value_ids.clone(),
-                        class_names: Mutex::default(),
                         name_to_pyid: name_to_pyid.clone(),
                         module: module.clone(),
                         id_to_pyval: RwLock::default(),
@@ -419,9 +478,25 @@ impl Nac3 {
 
             match &stmt.node {
                 StmtKind::FunctionDef { decorator_list, .. } => {
-                    if decorator_list.iter().any(|decorator| matches!(decorator.node, ExprKind::Name { id, .. } if id == "rpc".into())) {
-                        store_fun.call1(py, (def_id.0.into_py(py), module.getattr(py, name.to_string().as_str()).unwrap())).unwrap();
-                        rpc_ids.push((None, def_id));
+                    if decorator_list
+                        .iter()
+                        .any(|decorator| decorator_id_string(decorator) == Some("rpc".to_string()))
+                    {
+                        store_fun
+                            .call1(
+                                py,
+                                (
+                                    def_id.0.into_py(py),
+                                    module.getattr(py, name.to_string().as_str()).unwrap(),
+                                ),
+                            )
+                            .unwrap();
+                        let is_async = decorator_list.iter().any(|decorator| {
+                            decorator_get_flags(decorator)
+                                .iter()
+                                .any(|constant| *constant == Constant::Str("async".into()))
+                        });
+                        rpc_ids.push((None, def_id, is_async));
                     }
                 }
                 StmtKind::ClassDef { name, body, .. } => {
@@ -429,19 +504,26 @@ impl Nac3 {
                     let class_obj = module.getattr(py, class_name.as_str()).unwrap();
                     for stmt in body {
                         if let StmtKind::FunctionDef { name, decorator_list, .. } = &stmt.node {
-                            if decorator_list.iter().any(|decorator| matches!(decorator.node, ExprKind::Name { id, .. } if id == "rpc".into())) {
+                            if decorator_list.iter().any(|decorator| {
+                                decorator_id_string(decorator) == Some("rpc".to_string())
+                            }) {
+                                let is_async = decorator_list.iter().any(|decorator| {
+                                    decorator_get_flags(decorator)
+                                        .iter()
+                                        .any(|constant| *constant == Constant::Str("async".into()))
+                                });
                                 if name == &"__init__".into() {
                                     return Err(CompileError::new_err(format!(
                                         "compilation failed\n----------\nThe constructor of class {} should not be decorated with rpc decorator (at {})",
                                         class_name, stmt.location
                                     )));
                                 }
-                                rpc_ids.push((Some((class_obj.clone(), *name)), def_id));
+                                rpc_ids.push((Some((class_obj.clone(), *name)), def_id, is_async));
                             }
                         }
                     }
                 }
-                _ => ()
+                _ => (),
             }
 
             let id = *name_to_pyid.get(&name).unwrap();
@@ -480,7 +562,6 @@ impl Nac3 {
             pyid_to_type: pyid_to_type.clone(),
             primitive_ids: self.primitive_ids.clone(),
             global_value_ids: global_value_ids.clone(),
-            class_names: Mutex::default(),
             id_to_pyval: RwLock::default(),
             id_to_primitive: RwLock::default(),
             field_to_val: RwLock::default(),
@@ -497,6 +578,10 @@ impl Nac3 {
             .register_top_level(synthesized.pop().unwrap(), Some(resolver.clone()), "", false)
             .unwrap();
 
+        // Process IRRT
+        let context = Context::create();
+        let irrt = load_irrt(&context, resolver.as_ref());
+
         let fun_signature =
             FunSignature { args: vec![], ret: self.primitive.none, vars: VarMap::new() };
         let mut store = ConcreteTypeStore::new();
@@ -534,13 +619,12 @@ impl Nac3 {
         let top_level = Arc::new(composer.make_top_level_context());
 
         {
-            let rpc_codegen = rpc_codegen_callback();
             let defs = top_level.definitions.read();
-            for (class_data, id) in &rpc_ids {
+            for (class_data, id, is_async) in &rpc_ids {
                 let mut def = defs[id.0].write();
                 match &mut *def {
                     TopLevelDef::Function { codegen_callback, .. } => {
-                        *codegen_callback = Some(rpc_codegen.clone());
+                        *codegen_callback = Some(rpc_codegen_callback(*is_async));
                     }
                     TopLevelDef::Class { methods, .. } => {
                         let (class_def, method_name) = class_data.as_ref().unwrap();
@@ -551,7 +635,7 @@ impl Nac3 {
                             if let TopLevelDef::Function { codegen_callback, .. } =
                                 &mut *defs[id.0].write()
                             {
-                                *codegen_callback = Some(rpc_codegen.clone());
+                                *codegen_callback = Some(rpc_codegen_callback(*is_async));
                                 store_fun
                                     .call1(
                                         py,
@@ -566,6 +650,11 @@ impl Nac3 {
                             }
                         }
                     }
+                    TopLevelDef::Variable { .. } => {
+                        return Err(CompileError::new_err(String::from(
+                            "Unsupported @rpc annotation on global variable",
+                        )))
+                    }
                 }
             }
         }
@@ -625,7 +714,9 @@ impl Nac3 {
             let buffer = buffer.as_slice().into();
             membuffer.lock().push(buffer);
         })));
-        let size_t = if self.isa == Isa::Host { 64 } else { 32 };
+        let size_t = context
+            .ptr_sized_int_type(&self.get_llvm_target_machine().get_target_data(), None)
+            .get_bit_width();
         let num_threads = if is_multithreaded() { 4 } else { 1 };
         let thread_names: Vec<String> = (0..num_threads).map(|_| "main".to_string()).collect();
         let threads: Vec<_> = thread_names
@@ -642,8 +733,11 @@ impl Nac3 {
 
             let mut generator =
                 ArtiqCodeGenerator::new("attributes_writeback".to_string(), size_t, self.time_fns);
-            let context = inkwell::context::Context::create();
+            let context = Context::create();
             let module = context.create_module("attributes_writeback");
+            let target_machine = self.llvm_options.create_target_machine().unwrap();
+            module.set_data_layout(&target_machine.get_target_data().get_data_layout());
+            module.set_triple(&target_machine.get_triple());
             let builder = context.create_builder();
             let (_, module, _) = gen_func_impl(
                 &context,
@@ -662,7 +756,7 @@ impl Nac3 {
             membuffer.lock().push(buffer);
         });
 
-        let context = inkwell::context::Context::create();
+        // Link all modules into `main`.
         let buffers = membuffers.lock();
         let main = context
             .create_module_from_ir(MemoryBuffer::create_from_memory_range(&buffers[0], "main"))
@@ -691,8 +785,7 @@ impl Nac3 {
             )
             .unwrap();
 
-        main.link_in_module(load_irrt(&context))
-            .map_err(|err| CompileError::new_err(err.to_string()))?;
+        main.link_in_module(irrt).map_err(|err| CompileError::new_err(err.to_string()))?;
 
         let mut function_iter = main.get_first_function();
         while let Some(func) = function_iter {
@@ -778,6 +871,41 @@ impl Nac3 {
     }
 }
 
+/// Retrieves the Name.id from a decorator, supports decorators with arguments.
+fn decorator_id_string(decorator: &Located<ExprKind>) -> Option<String> {
+    if let ExprKind::Name { id, .. } = decorator.node {
+        // Bare decorator
+        return Some(id.to_string());
+    } else if let ExprKind::Call { func, .. } = &decorator.node {
+        // Decorators that are calls (e.g. "@rpc()") have Call for the node,
+        // need to extract the id from within.
+        if let ExprKind::Name { id, .. } = func.node {
+            return Some(id.to_string());
+        }
+    }
+    None
+}
+
+/// Retrieves flags from a decorator, if any.
+fn decorator_get_flags(decorator: &Located<ExprKind>) -> Vec<Constant> {
+    let mut flags = vec![];
+    if let ExprKind::Call { keywords, .. } = &decorator.node {
+        for keyword in keywords {
+            if keyword.node.arg != Some("flags".into()) {
+                continue;
+            }
+            if let ExprKind::Set { elts } = &keyword.node.value.node {
+                for elt in elts {
+                    if let ExprKind::Constant { value, .. } = &elt.node {
+                        flags.push(value.clone());
+                    }
+                }
+            }
+        }
+    }
+    flags
+}
+
 fn link_with_lld(elf_filename: String, obj_filename: String) -> PyResult<()> {
     let linker_args = vec![
         "-shared".to_string(),
@@ -847,7 +975,7 @@ impl Nac3 {
             Isa::RiscV32IMA => &timeline::NOW_PINNING_TIME_FNS,
             Isa::CortexA9 | Isa::Host => &timeline::EXTERN_TIME_FNS,
         };
-        let primitive: PrimitiveStore = TopLevelComposer::make_primitives(isa.get_size_type()).0;
+        let (primitive, _) = TopLevelComposer::make_primitives(isa.get_size_type());
         let builtins = vec![
             (
                 "now_mu".into(),
@@ -863,6 +991,7 @@ impl Nac3 {
                         name: "t".into(),
                         ty: primitive.int64,
                         default_value: None,
+                        is_vararg: false,
                     }],
                     ret: primitive.none,
                     vars: VarMap::new(),
@@ -882,6 +1011,7 @@ impl Nac3 {
                         name: "dt".into(),
                         ty: primitive.int64,
                         default_value: None,
+                        is_vararg: false,
                     }],
                     ret: primitive.none,
                     vars: VarMap::new(),

nac3artiq/src/symbol_resolver.rs

@@ -1,14 +1,30 @@
-use inkwell::{
-    types::{BasicType, BasicTypeEnum},
-    values::BasicValueEnum,
-    AddressSpace,
+use std::{
+    collections::{HashMap, HashSet},
+    sync::{
+        atomic::{AtomicBool, Ordering::Relaxed},
+        Arc,
+    },
 };
+
 use itertools::Itertools;
+use parking_lot::RwLock;
+use pyo3::{
+    types::{PyDict, PyTuple},
+    PyAny, PyObject, PyResult, Python,
+};
+
 use nac3core::{
     codegen::{
         classes::{NDArrayType, ProxyType},
         CodeGenContext, CodeGenerator,
     },
+    inkwell::{
+        module::Linkage,
+        types::{BasicType, BasicTypeEnum},
+        values::BasicValueEnum,
+        AddressSpace,
+    },
+    nac3parser::ast::{self, StrRef},
     symbol_resolver::{StaticValue, SymbolResolver, SymbolValue, ValueEnum},
     toplevel::{
         helper::PrimDef,
@@ -20,19 +36,6 @@ use nac3core::{
         typedef::{into_var_map, iter_type_vars, Type, TypeEnum, TypeVar, Unifier, VarMap},
     },
 };
-use nac3parser::ast::{self, StrRef};
-use parking_lot::{Mutex, RwLock};
-use pyo3::{
-    types::{PyDict, PyTuple},
-    PyAny, PyObject, PyResult, Python,
-};
-use std::{
-    collections::{HashMap, HashSet},
-    sync::{
-        atomic::{AtomicBool, Ordering::Relaxed},
-        Arc,
-    },
-};
 
 use crate::PrimitivePythonId;
 
@@ -79,7 +82,6 @@ pub struct InnerResolver {
     pub id_to_primitive: RwLock<HashMap<u64, PrimitiveValue>>,
     pub field_to_val: RwLock<HashMap<ResolverField, Option<PyFieldHandle>>>,
     pub global_value_ids: Arc<RwLock<HashMap<u64, PyObject>>>,
-    pub class_names: Mutex<HashMap<StrRef, Type>>,
     pub pyid_to_def: Arc<RwLock<HashMap<u64, DefinitionId>>>,
     pub pyid_to_type: Arc<RwLock<HashMap<u64, Type>>>,
     pub primitive_ids: PrimitivePythonId,
@@ -133,6 +135,8 @@ impl StaticValue for PythonValue {
                         format!("{}_const", self.id).as_str(),
                     );
                     global.set_constant(true);
+                    // Set linkage of global to private to avoid name collisions
+                    global.set_linkage(Linkage::Private);
                     global.set_initializer(&ctx.ctx.const_struct(
                         &[ctx.ctx.i32_type().const_int(u64::from(id), false).into()],
                         false,
@@ -163,7 +167,7 @@ impl StaticValue for PythonValue {
                 PrimitiveValue::Bool(val) => {
                     ctx.ctx.i8_type().const_int(u64::from(*val), false).into()
                 }
-                PrimitiveValue::Str(val) => ctx.ctx.const_string(val.as_bytes(), true).into(),
+                PrimitiveValue::Str(val) => ctx.gen_string(generator, val).into(),
             });
         }
         if let Some(global) = ctx.module.get_global(&self.id.to_string()) {
@@ -329,8 +333,19 @@ impl InnerResolver {
             Ok(Ok((primitives.exception, true)))
         } else if ty_id == self.primitive_ids.list {
             // do not handle type var param and concrete check here
+            let list_tvar = if let TypeEnum::TObj { obj_id, params, .. } =
+                &*unifier.get_ty_immutable(primitives.list)
+            {
+                assert_eq!(*obj_id, PrimDef::List.id());
+                iter_type_vars(params).nth(0).unwrap()
+            } else {
+                unreachable!()
+            };
+
             let var = unifier.get_dummy_var().ty;
-            let list = unifier.add_ty(TypeEnum::TList { ty: var });
+            let list = unifier
+                .subst(primitives.list, &into_var_map([TypeVar { id: list_tvar.id, ty: var }]))
+                .unwrap();
             Ok(Ok((list, false)))
         } else if ty_id == self.primitive_ids.ndarray {
             // do not handle type var param and concrete check here
@@ -340,7 +355,7 @@ impl InnerResolver {
             Ok(Ok((ndarray, false)))
         } else if ty_id == self.primitive_ids.tuple {
             // do not handle type var param and concrete check here
-            Ok(Ok((unifier.add_ty(TypeEnum::TTuple { ty: vec![] }), false)))
+            Ok(Ok((unifier.add_ty(TypeEnum::TTuple { ty: vec![], is_vararg_ctx: false }), false)))
         } else if ty_id == self.primitive_ids.option {
             Ok(Ok((primitives.option, false)))
         } else if ty_id == self.primitive_ids.none {
@@ -460,7 +475,7 @@ impl InnerResolver {
                 };
 
             match &*unifier.get_ty(origin_ty) {
-                TypeEnum::TList { .. } => {
+                TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::List.id() => {
                     if args.len() == 1 {
                         let ty = match self.get_pyty_obj_type(
                             py,
@@ -477,7 +492,21 @@ impl InnerResolver {
                                 "type list should take concrete parameters in typevar range".into(),
                             ));
                         }
-                        Ok(Ok((unifier.add_ty(TypeEnum::TList { ty: ty.0 }), true)))
+                        let list_tvar = if let TypeEnum::TObj { obj_id, params, .. } =
+                            &*unifier.get_ty_immutable(primitives.list)
+                        {
+                            assert_eq!(*obj_id, PrimDef::List.id());
+                            iter_type_vars(params).nth(0).unwrap()
+                        } else {
+                            unreachable!()
+                        };
+                        let list = unifier
+                            .subst(
+                                primitives.list,
+                                &into_var_map([TypeVar { id: list_tvar.id, ty: ty.0 }]),
+                            )
+                            .unwrap();
+                        Ok(Ok((list, true)))
                     } else {
                         return Ok(Err(format!(
                             "type list needs exactly 1 type parameters, found {}",
@@ -530,7 +559,10 @@ impl InnerResolver {
                             Err(err) => return Ok(Err(err)),
                             _ => return Ok(Err("tuple type needs at least 1 type parameters".to_string()))
                         };
-                    Ok(Ok((unifier.add_ty(TypeEnum::TTuple { ty: args }), true)))
+                    Ok(Ok((
+                        unifier.add_ty(TypeEnum::TTuple { ty: args, is_vararg_ctx: false }),
+                        true,
+                    )))
                 }
                 TypeEnum::TObj { params, obj_id, .. } => {
                     let subst = {
@@ -627,12 +659,15 @@ impl InnerResolver {
         let pyid_to_def = self.pyid_to_def.read();
         let constructor_ty = pyid_to_def.get(&py_obj_id).and_then(|def_id| {
             defs.iter().find_map(|def| {
-                if let TopLevelDef::Class { object_id, methods, constructor, .. } = &*def.read() {
-                    if object_id == def_id
-                        && constructor.is_some()
-                        && methods.iter().any(|(s, _, _)| s == &"__init__".into())
+                if let Some(rear_guard) = def.try_read() {
+                    if let TopLevelDef::Class { object_id, methods, constructor, .. } = &*rear_guard
                     {
-                        return *constructor;
+                        if object_id == def_id
+                            && constructor.is_some()
+                            && methods.iter().any(|(s, _, _)| s == &"__init__".into())
+                        {
+                            return *constructor;
+                        }
                     }
                 }
                 None
@@ -664,15 +699,38 @@ impl InnerResolver {
             primitives,
         )? {
             Ok(s) => s,
-            Err(e) => return Ok(Err(e)),
+            Err(e) => {
+                // Allow access to Class Attributes of Classes without having to initialize Objects
+                if self.pyid_to_def.read().contains_key(&py_obj_id) {
+                    if let Some(def_id) = self.pyid_to_def.read().get(&py_obj_id).copied() {
+                        let def = defs[def_id.0].read();
+                        let TopLevelDef::Class { object_id, .. } = &*def else {
+                            // only object is supported, functions are not supported
+                            unreachable!("function type is not supported, should not be queried")
+                        };
+
+                        let ty = TypeEnum::TObj {
+                            obj_id: *object_id,
+                            params: VarMap::new(),
+                            fields: HashMap::new(),
+                        };
+                        (unifier.add_ty(ty), true)
+                    } else {
+                        return Ok(Err(e));
+                    }
+                } else {
+                    return Ok(Err(e));
+                }
+            }
         };
         match (&*unifier.get_ty(extracted_ty), inst_check) {
             // do the instantiation for these four types
-            (TypeEnum::TList { ty }, false) => {
+            (TypeEnum::TObj { obj_id, params, .. }, false) if *obj_id == PrimDef::List.id() => {
+                let ty = iter_type_vars(params).nth(0).unwrap().ty;
                 let len: usize = self.helper.len_fn.call1(py, (obj,))?.extract(py)?;
                 if len == 0 {
                     assert!(matches!(
-                        &*unifier.get_ty(*ty),
+                        &*unifier.get_ty(ty),
                         TypeEnum::TVar { fields: None, range, .. }
                             if range.is_empty()
                     ));
@@ -681,8 +739,25 @@ impl InnerResolver {
                     let actual_ty =
                         self.get_list_elem_type(py, obj, len, unifier, defs, primitives)?;
                     match actual_ty {
-                        Ok(t) => match unifier.unify(*ty, t) {
-                            Ok(()) => Ok(Ok(unifier.add_ty(TypeEnum::TList { ty: *ty }))),
+                        Ok(t) => match unifier.unify(ty, t) {
+                            Ok(()) => {
+                                let list_tvar = if let TypeEnum::TObj { obj_id, params, .. } =
+                                    &*unifier.get_ty_immutable(primitives.list)
+                                {
+                                    assert_eq!(*obj_id, PrimDef::List.id());
+                                    iter_type_vars(params).nth(0).unwrap()
+                                } else {
+                                    unreachable!()
+                                };
+                                let list = unifier
+                                    .subst(
+                                        primitives.list,
+                                        &into_var_map([TypeVar { id: list_tvar.id, ty }]),
+                                    )
+                                    .unwrap();
+                                Ok(Ok(list))
+                            }
+
                             Err(e) => Ok(Err(format!(
                                 "type error ({}) for the list",
                                 e.to_display(unifier)
@@ -729,7 +804,9 @@ impl InnerResolver {
                     .map(|elem| self.get_obj_type(py, elem, unifier, defs, primitives))
                     .collect();
                 let types = types?;
-                Ok(types.map(|types| unifier.add_ty(TypeEnum::TTuple { ty: types })))
+                Ok(types.map(|types| {
+                    unifier.add_ty(TypeEnum::TTuple { ty: types, is_vararg_ctx: false })
+                }))
             }
             // special handling for option type since its class member layout in python side
             // is special and cannot be mapped directly to a nac3 type as below
@@ -904,7 +981,7 @@ impl InnerResolver {
         } else if ty_id == self.primitive_ids.string || ty_id == self.primitive_ids.np_str_ {
             let val: String = obj.extract().unwrap();
             self.id_to_primitive.write().insert(id, PrimitiveValue::Str(val.clone()));
-            Ok(Some(ctx.ctx.const_string(val.as_bytes(), true).into()))
+            Ok(Some(ctx.gen_string(generator, val).into()))
         } else if ty_id == self.primitive_ids.float || ty_id == self.primitive_ids.float64 {
             let val: f64 = obj.extract().unwrap();
             self.id_to_primitive.write().insert(id, PrimitiveValue::F64(val));
@@ -917,15 +994,21 @@ impl InnerResolver {
             }
 
             let len: usize = self.helper.len_fn.call1(py, (obj,))?.extract(py)?;
-            let elem_ty = if let TypeEnum::TList { ty } =
-                ctx.unifier.get_ty_immutable(expected_ty).as_ref()
-            {
-                *ty
-            } else {
-                unreachable!("must be list")
+            let elem_ty = match ctx.unifier.get_ty_immutable(expected_ty).as_ref() {
+                TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+                    iter_type_vars(params).nth(0).unwrap().ty
+                }
+                _ => unreachable!("must be list"),
             };
-            let ty = ctx.get_llvm_type(generator, elem_ty);
             let size_t = generator.get_size_type(ctx.ctx);
+            let ty = if len == 0
+                && matches!(&*ctx.unifier.get_ty_immutable(elem_ty), TypeEnum::TVar { .. })
+            {
+                // The default type for zero-length lists of unknown element type is size_t
+                size_t.into()
+            } else {
+                ctx.get_llvm_type(generator, elem_ty)
+            };
             let arr_ty = ctx
                 .ctx
                 .struct_type(&[ty.ptr_type(AddressSpace::default()).into(), size_t.into()], false);
@@ -1129,7 +1212,9 @@ impl InnerResolver {
             Ok(Some(ndarray.as_pointer_value().into()))
         } else if ty_id == self.primitive_ids.tuple {
             let expected_ty_enum = ctx.unifier.get_ty_immutable(expected_ty);
-            let TypeEnum::TTuple { ty } = expected_ty_enum.as_ref() else { unreachable!() };
+            let TypeEnum::TTuple { ty, is_vararg_ctx: false } = expected_ty_enum.as_ref() else {
+                unreachable!()
+            };
 
             let tup_tys = ty.iter();
             let elements: &PyTuple = obj.downcast()?;
@@ -1385,6 +1470,7 @@ impl SymbolResolver for Resolver {
         &self,
         id: StrRef,
         _: &mut CodeGenContext<'ctx, '_>,
+        _: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
         let sym_value = {
             let id_to_val = self.0.id_to_pyval.read();

nac3artiq/src/timeline.rs

@@ -1,9 +1,12 @@
-use inkwell::{
-    values::{BasicValueEnum, CallSiteValue},
-    AddressSpace, AtomicOrdering,
-};
 use itertools::Either;
-use nac3core::codegen::CodeGenContext;
+
+use nac3core::{
+    codegen::CodeGenContext,
+    inkwell::{
+        values::{BasicValueEnum, CallSiteValue},
+        AddressSpace, AtomicOrdering,
+    },
+};
 
 /// Functions for manipulating the timeline.
 pub trait TimeFns {
@@ -31,7 +34,7 @@ impl TimeFns for NowPinningTimeFns64 {
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
         let now_hiptr = ctx
             .builder
-            .build_bitcast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap();
 
@@ -80,7 +83,7 @@ impl TimeFns for NowPinningTimeFns64 {
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
         let now_hiptr = ctx
             .builder
-            .build_bitcast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap();
 
@@ -109,7 +112,7 @@ impl TimeFns for NowPinningTimeFns64 {
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
         let now_hiptr = ctx
             .builder
-            .build_bitcast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap();
 
@@ -207,7 +210,7 @@ impl TimeFns for NowPinningTimeFns {
             .unwrap_or_else(|| ctx.module.add_global(i64_type, None, "now"));
         let now_hiptr = ctx
             .builder
-            .build_bitcast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap();
 
@@ -258,7 +261,7 @@ impl TimeFns for NowPinningTimeFns {
         let time_lo = ctx.builder.build_int_truncate(time, i32_type, "time.lo").unwrap();
         let now_hiptr = ctx
             .builder
-            .build_bitcast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
+            .build_bit_cast(now, i32_type.ptr_type(AddressSpace::default()), "now.hi.addr")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap();
 

nac3ast/Cargo.toml

@@ -10,7 +10,7 @@ constant-optimization = ["fold"]
 fold = []
 
 [dependencies]
-lazy_static = "1.4"
+lazy_static = "1.5"
 parking_lot = "0.12"
 string-interner = "0.17"
 fxhash = "0.2"

nac3core/Cargo.toml

@@ -4,20 +4,23 @@ version = "0.1.0"
 authors = ["M-Labs"]
 edition = "2021"
 
+[features]
+no-escape-analysis = []
+
 [dependencies]
 itertools = "0.13"
 crossbeam = "0.8"
-indexmap = "2.2"
+indexmap = "2.6"
 parking_lot = "0.12"
-rayon = "1.8"
+rayon = "1.10"
 nac3parser = { path = "../nac3parser" }
-strum = "0.26.2"
-strum_macros = "0.26.4"
+strum = "0.26"
+strum_macros = "0.26"
 
 [dependencies.inkwell]
-version = "0.4"
+version = "0.5"
 default-features = false
-features = ["llvm14-0", "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"

nac3core/build.rs

@@ -1,4 +1,3 @@
-use regex::Regex;
 use std::{
     env,
     fs::File,
@@ -7,34 +6,53 @@ use std::{
     process::{Command, Stdio},
 };
 
+use regex::Regex;
+
 fn main() {
-    const FILE: &str = "src/codegen/irrt/irrt.c";
+    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.
      */
-    let flags: &[&str] = &[
+    let mut flags: Vec<&str> = vec![
         "--target=wasm32",
-        FILE,
+        "-x",
+        "c++",
+        "-std=c++20",
         "-fno-discard-value-names",
-        match env::var("PROFILE").as_deref() {
-            Ok("debug") => "-O0",
-            Ok("release") => "-O3",
-            flavor => panic!("Unknown or missing build flavor {flavor:?}"),
-        },
+        "-fno-exceptions",
+        "-fno-rtti",
         "-emit-llvm",
         "-S",
         "-Wall",
         "-Wextra",
         "-o",
         "-",
+        "-I",
+        irrt_dir.to_str().unwrap(),
+        irrt_cpp_path.to_str().unwrap(),
     ];
 
-    println!("cargo:rerun-if-changed={FILE}");
-    let out_dir = env::var("OUT_DIR").unwrap();
-    let out_path = Path::new(&out_dir);
+    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()
@@ -48,7 +66,17 @@ fn main() {
     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::new(r"(?ms:^define.*?\}$)|(?m:^declare.*?$)").unwrap();
+    // 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]);
@@ -59,18 +87,22 @@ fn main() {
         .unwrap()
         .replace_all(&filtered_output, "");
 
-    println!("cargo:rerun-if-env-changed=DEBUG_DUMP_IRRT");
-    if env::var("DEBUG_DUMP_IRRT").is_ok() {
-        let mut file = File::create(out_path.join("irrt.ll")).unwrap();
+    // 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_path.join("irrt-filtered.ll")).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(out_path.join("irrt.bc"))
+        .arg(out_dir.join("irrt.bc"))
         .spawn()
         .unwrap();
     llvm_as.stdin.as_mut().unwrap().write_all(filtered_output.as_bytes()).unwrap();

nac3core/irrt/irrt.cpp

@@ -0,0 +1,6 @@
+#include "irrt/exception.hpp"
+#include "irrt/int_types.hpp"
+#include "irrt/list.hpp"
+#include "irrt/math.hpp"
+#include "irrt/ndarray.hpp"
+#include "irrt/slice.hpp"

nac3core/irrt/irrt/cslice.hpp

@@ -0,0 +1,9 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+template<typename SizeT>
+struct CSlice {
+    uint8_t* 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 +1,82 @@
+#pragma once
+
+#include "irrt/cslice.hpp"
+#include "irrt/int_types.hpp"
+
+/**
+ * @brief The int type of ARTIQ exception IDs.
+ */
+typedef int32_t ExceptionId;
+
+/*
+ * 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<const uint8_t*>(filename), .len = __builtin_strlen(filename)},
+        .line = line,
+        .column = 0,
+        .function = {.base = reinterpret_cast<const uint8_t*>(function), .len = __builtin_strlen(function)},
+        .msg = {.base = reinterpret_cast<const uint8_t*>(msg), .len = __builtin_strlen(msg)},
+    };
+    e.params[0] = param0;
+    e.params[1] = param1;
+    e.params[2] = param2;
+    __nac3_raise(reinterpret_cast<void*>(&e));
+    __builtin_unreachable();
+}
+
+/**
+ * @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)
+}  // namespace

nac3core/irrt/irrt/int_types.hpp

@@ -0,0 +1,22 @@
+#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
+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);
+#endif
+
+// NDArray indices are always `uint32_t`.
+using NDIndex = uint32_t;
+// 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 +1,75 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+#include "irrt/math_util.hpp"
+
+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,
+                                             uint8_t* dest_arr,
+                                             SliceIndex dest_arr_len,
+                                             SliceIndex src_start,
+                                             SliceIndex src_end,
+                                             SliceIndex src_step,
+                                             uint8_t* 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(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 = reinterpret_cast<uint8_t*>(__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(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;
+}
+}  // extern "C"

nac3core/irrt/irrt/math.hpp

@@ -0,0 +1,93 @@
+#pragma once
+
+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);
+}
+}

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.hpp

@@ -0,0 +1,144 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+namespace {
+template<typename SizeT>
+SizeT __nac3_ndarray_calc_size_impl(const SizeT* list_data, SizeT list_len, SizeT begin_idx, SizeT end_idx) {
+    __builtin_assume(end_idx <= list_len);
+
+    SizeT num_elems = 1;
+    for (SizeT i = begin_idx; i < end_idx; ++i) {
+        SizeT val = list_data[i];
+        __builtin_assume(val > 0);
+        num_elems *= val;
+    }
+    return num_elems;
+}
+
+template<typename SizeT>
+void __nac3_ndarray_calc_nd_indices_impl(SizeT index, const SizeT* dims, SizeT num_dims, NDIndex* idxs) {
+    SizeT stride = 1;
+    for (SizeT dim = 0; dim < num_dims; dim++) {
+        SizeT i = num_dims - dim - 1;
+        __builtin_assume(dims[i] > 0);
+        idxs[i] = (index / stride) % dims[i];
+        stride *= dims[i];
+    }
+}
+
+template<typename SizeT>
+SizeT __nac3_ndarray_flatten_index_impl(const SizeT* dims, SizeT num_dims, const NDIndex* indices, SizeT num_indices) {
+    SizeT idx = 0;
+    SizeT stride = 1;
+    for (SizeT i = 0; i < num_dims; ++i) {
+        SizeT ri = num_dims - i - 1;
+        if (ri < num_indices) {
+            idx += stride * indices[ri];
+        }
+
+        __builtin_assume(dims[i] > 0);
+        stride *= dims[ri];
+    }
+    return idx;
+}
+
+template<typename SizeT>
+void __nac3_ndarray_calc_broadcast_impl(const SizeT* lhs_dims,
+                                        SizeT lhs_ndims,
+                                        const SizeT* rhs_dims,
+                                        SizeT rhs_ndims,
+                                        SizeT* out_dims) {
+    SizeT max_ndims = lhs_ndims > rhs_ndims ? lhs_ndims : rhs_ndims;
+
+    for (SizeT i = 0; i < max_ndims; ++i) {
+        const SizeT* lhs_dim_sz = i < lhs_ndims ? &lhs_dims[lhs_ndims - i - 1] : nullptr;
+        const SizeT* rhs_dim_sz = i < rhs_ndims ? &rhs_dims[rhs_ndims - i - 1] : nullptr;
+        SizeT* out_dim = &out_dims[max_ndims - i - 1];
+
+        if (lhs_dim_sz == nullptr) {
+            *out_dim = *rhs_dim_sz;
+        } else if (rhs_dim_sz == nullptr) {
+            *out_dim = *lhs_dim_sz;
+        } else if (*lhs_dim_sz == 1) {
+            *out_dim = *rhs_dim_sz;
+        } else if (*rhs_dim_sz == 1) {
+            *out_dim = *lhs_dim_sz;
+        } else if (*lhs_dim_sz == *rhs_dim_sz) {
+            *out_dim = *lhs_dim_sz;
+        } else {
+            __builtin_unreachable();
+        }
+    }
+}
+
+template<typename SizeT>
+void __nac3_ndarray_calc_broadcast_idx_impl(const SizeT* src_dims,
+                                            SizeT src_ndims,
+                                            const NDIndex* in_idx,
+                                            NDIndex* out_idx) {
+    for (SizeT i = 0; i < src_ndims; ++i) {
+        SizeT src_i = src_ndims - i - 1;
+        out_idx[src_i] = src_dims[src_i] == 1 ? 0 : in_idx[src_i];
+    }
+}
+}  // namespace
+
+extern "C" {
+uint32_t __nac3_ndarray_calc_size(const uint32_t* list_data, uint32_t list_len, uint32_t begin_idx, uint32_t end_idx) {
+    return __nac3_ndarray_calc_size_impl(list_data, list_len, begin_idx, end_idx);
+}
+
+uint64_t
+__nac3_ndarray_calc_size64(const uint64_t* list_data, uint64_t list_len, uint64_t begin_idx, uint64_t end_idx) {
+    return __nac3_ndarray_calc_size_impl(list_data, list_len, begin_idx, end_idx);
+}
+
+void __nac3_ndarray_calc_nd_indices(uint32_t index, const uint32_t* dims, uint32_t num_dims, NDIndex* idxs) {
+    __nac3_ndarray_calc_nd_indices_impl(index, dims, num_dims, idxs);
+}
+
+void __nac3_ndarray_calc_nd_indices64(uint64_t index, const uint64_t* dims, uint64_t num_dims, NDIndex* idxs) {
+    __nac3_ndarray_calc_nd_indices_impl(index, dims, num_dims, idxs);
+}
+
+uint32_t
+__nac3_ndarray_flatten_index(const uint32_t* dims, uint32_t num_dims, const NDIndex* indices, uint32_t num_indices) {
+    return __nac3_ndarray_flatten_index_impl(dims, num_dims, indices, num_indices);
+}
+
+uint64_t
+__nac3_ndarray_flatten_index64(const uint64_t* dims, uint64_t num_dims, const NDIndex* indices, uint64_t num_indices) {
+    return __nac3_ndarray_flatten_index_impl(dims, num_dims, indices, num_indices);
+}
+
+void __nac3_ndarray_calc_broadcast(const uint32_t* lhs_dims,
+                                   uint32_t lhs_ndims,
+                                   const uint32_t* rhs_dims,
+                                   uint32_t rhs_ndims,
+                                   uint32_t* out_dims) {
+    return __nac3_ndarray_calc_broadcast_impl(lhs_dims, lhs_ndims, rhs_dims, rhs_ndims, out_dims);
+}
+
+void __nac3_ndarray_calc_broadcast64(const uint64_t* lhs_dims,
+                                     uint64_t lhs_ndims,
+                                     const uint64_t* rhs_dims,
+                                     uint64_t rhs_ndims,
+                                     uint64_t* out_dims) {
+    return __nac3_ndarray_calc_broadcast_impl(lhs_dims, lhs_ndims, rhs_dims, rhs_ndims, out_dims);
+}
+
+void __nac3_ndarray_calc_broadcast_idx(const uint32_t* src_dims,
+                                       uint32_t src_ndims,
+                                       const NDIndex* in_idx,
+                                       NDIndex* out_idx) {
+    __nac3_ndarray_calc_broadcast_idx_impl(src_dims, src_ndims, in_idx, out_idx);
+}
+
+void __nac3_ndarray_calc_broadcast_idx64(const uint64_t* src_dims,
+                                         uint64_t src_ndims,
+                                         const NDIndex* in_idx,
+                                         NDIndex* out_idx) {
+    __nac3_ndarray_calc_broadcast_idx_impl(src_dims, src_ndims, in_idx, out_idx);
+}
+}

nac3core/irrt/irrt/slice.hpp

@@ -0,0 +1,28 @@
+#pragma once
+
+#include "irrt/int_types.hpp"
+
+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;
+}
+
+SliceIndex __nac3_range_slice_len(const SliceIndex start, const SliceIndex end, const SliceIndex step) {
+    SliceIndex 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;
+    }
+}
+}

nac3core/src/codegen/builtin_fns.rs

@@ -1,26 +1,103 @@
-use inkwell::types::BasicTypeEnum;
-use inkwell::values::BasicValueEnum;
-use inkwell::{FloatPredicate, IntPredicate, OptimizationLevel};
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValue, BasicValueEnum, IntValue, PointerValue},
+    FloatPredicate, IntPredicate, OptimizationLevel,
+};
 use itertools::Itertools;
 
-use crate::codegen::classes::{NDArrayValue, ProxyValue, UntypedArrayLikeAccessor};
-use crate::codegen::numpy::ndarray_elementwise_unaryop_impl;
-use crate::codegen::stmt::gen_for_callback_incrementing;
-use crate::codegen::{extern_fns, irrt, llvm_intrinsics, numpy, CodeGenContext, CodeGenerator};
-use crate::toplevel::helper::PrimDef;
-use crate::toplevel::numpy::unpack_ndarray_var_tys;
-use crate::typecheck::typedef::Type;
+use crate::{
+    codegen::{
+        classes::{
+            ArrayLikeValue, NDArrayValue, ProxyValue, RangeValue, TypedArrayLikeAccessor,
+            UntypedArrayLikeAccessor, UntypedArrayLikeMutator,
+        },
+        expr::destructure_range,
+        extern_fns, irrt,
+        irrt::calculate_len_for_slice_range,
+        llvm_intrinsics,
+        macros::codegen_unreachable,
+        numpy,
+        numpy::ndarray_elementwise_unaryop_impl,
+        stmt::gen_for_callback_incrementing,
+        CodeGenContext, CodeGenerator,
+    },
+    toplevel::helper::PrimDef,
+    toplevel::numpy::unpack_ndarray_var_tys,
+    typecheck::typedef::{Type, TypeEnum},
+};
 
 /// Shorthand for [`unreachable!()`] when a type of argument is not supported.
 ///
 /// The generated message will contain the function name and the name of the unsupported type.
 fn unsupported_type(ctx: &CodeGenContext<'_, '_>, fn_name: &str, tys: &[Type]) -> ! {
-    unreachable!(
+    codegen_unreachable!(
+        ctx,
         "{fn_name}() not supported for '{}'",
         tys.iter().map(|ty| format!("'{}'", ctx.unifier.stringify(*ty))).join(", "),
     )
 }
 
+/// Invokes the `len` builtin function.
+pub fn call_len<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    n: (Type, BasicValueEnum<'ctx>),
+) -> Result<IntValue<'ctx>, String> {
+    let llvm_i32 = ctx.ctx.i32_type();
+    let range_ty = ctx.primitives.range;
+    let (arg_ty, arg) = n;
+
+    Ok(if ctx.unifier.unioned(arg_ty, range_ty) {
+        let arg = RangeValue::from_ptr_val(arg.into_pointer_value(), Some("range"));
+        let (start, end, step) = destructure_range(ctx, arg);
+        calculate_len_for_slice_range(generator, ctx, start, end, step)
+    } else {
+        match &*ctx.unifier.get_ty_immutable(arg_ty) {
+            TypeEnum::TTuple { ty, .. } => llvm_i32.const_int(ty.len() as u64, false),
+            TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::List.id() => {
+                let zero = llvm_i32.const_zero();
+                let len = ctx
+                    .build_gep_and_load(
+                        arg.into_pointer_value(),
+                        &[zero, llvm_i32.const_int(1, false)],
+                        None,
+                    )
+                    .into_int_value();
+                ctx.builder.build_int_truncate_or_bit_cast(len, llvm_i32, "len").unwrap()
+            }
+            TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
+                let llvm_usize = generator.get_size_type(ctx.ctx);
+
+                let arg = NDArrayValue::from_ptr_val(arg.into_pointer_value(), llvm_usize, None);
+
+                let ndims = arg.dim_sizes().size(ctx, generator);
+                ctx.make_assert(
+                    generator,
+                    ctx.builder
+                        .build_int_compare(IntPredicate::NE, ndims, llvm_usize.const_zero(), "")
+                        .unwrap(),
+                    "0:TypeError",
+                    "len() of unsized object",
+                    [None, None, None],
+                    ctx.current_loc,
+                );
+
+                let len = unsafe {
+                    arg.dim_sizes().get_typed_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_zero(),
+                        None,
+                    )
+                };
+
+                ctx.builder.build_int_truncate_or_bit_cast(len, llvm_i32, "len").unwrap()
+            }
+            _ => codegen_unreachable!(ctx),
+        }
+    })
+}
+
 /// Invokes the `int32` builtin function.
 pub fn call_int32<'ctx, G: CodeGenerator + ?Sized>(
     generator: &mut G,
@@ -31,7 +108,6 @@ pub fn call_int32<'ctx, G: CodeGenerator + ?Sized>(
     let llvm_usize = generator.get_size_type(ctx.ctx);
 
     let (n_ty, n) = n;
-
     Ok(match n {
         BasicValueEnum::IntValue(n) if matches!(n.get_type().get_bit_width(), 1 | 8) => {
             debug_assert!(ctx.unifier.unioned(n_ty, ctx.primitives.bool));
@@ -419,7 +495,7 @@ pub fn call_numpy_round<'ctx, G: CodeGenerator + ?Sized>(
         BasicValueEnum::FloatValue(n) => {
             debug_assert!(ctx.unifier.unioned(n_ty, ctx.primitives.float));
 
-            llvm_intrinsics::call_float_roundeven(ctx, n, None).into()
+            llvm_intrinsics::call_float_rint(ctx, n, None).into()
         }
 
         BasicValueEnum::PointerValue(n)
@@ -602,7 +678,7 @@ pub fn call_ceil<'ctx, G: CodeGenerator + ?Sized>(
                 ret_elem_ty,
                 None,
                 NDArrayValue::from_ptr_val(n, llvm_usize, None),
-                |generator, ctx, val| call_floor(generator, ctx, (elem_ty, val), ret_elem_ty),
+                |generator, ctx, val| call_ceil(generator, ctx, (elem_ty, val), ret_elem_ty),
             )?;
 
             ndarray.as_base_value().into()
@@ -661,90 +737,6 @@ pub fn call_min<'ctx>(
     }
 }
 
-/// Invokes the `np_min` builtin function.
-pub fn call_numpy_min<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    a: (Type, BasicValueEnum<'ctx>),
-) -> Result<BasicValueEnum<'ctx>, String> {
-    const FN_NAME: &str = "np_min";
-
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-
-    let (a_ty, a) = a;
-
-    Ok(match a {
-        BasicValueEnum::IntValue(_) | BasicValueEnum::FloatValue(_) => {
-            debug_assert!([
-                ctx.primitives.bool,
-                ctx.primitives.int32,
-                ctx.primitives.uint32,
-                ctx.primitives.int64,
-                ctx.primitives.uint64,
-                ctx.primitives.float,
-            ]
-            .iter()
-            .any(|ty| ctx.unifier.unioned(a_ty, *ty)));
-
-            a
-        }
-
-        BasicValueEnum::PointerValue(n)
-            if a_ty.obj_id(&ctx.unifier).is_some_and(|id| id == PrimDef::NDArray.id()) =>
-        {
-            let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, a_ty);
-            let llvm_ndarray_ty = ctx.get_llvm_type(generator, elem_ty);
-
-            let n = NDArrayValue::from_ptr_val(n, llvm_usize, None);
-            let n_sz = irrt::call_ndarray_calc_size(generator, ctx, &n.dim_sizes(), (None, None));
-            if ctx.registry.llvm_options.opt_level == OptimizationLevel::None {
-                let n_sz_eqz = ctx
-                    .builder
-                    .build_int_compare(IntPredicate::NE, n_sz, n_sz.get_type().const_zero(), "")
-                    .unwrap();
-
-                ctx.make_assert(
-                    generator,
-                    n_sz_eqz,
-                    "0:ValueError",
-                    "zero-size array to reduction operation minimum which has no identity",
-                    [None, None, None],
-                    ctx.current_loc,
-                );
-            }
-
-            let accumulator_addr = generator.gen_var_alloc(ctx, llvm_ndarray_ty, None)?;
-            unsafe {
-                let identity =
-                    n.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None);
-                ctx.builder.build_store(accumulator_addr, identity).unwrap();
-            }
-
-            gen_for_callback_incrementing(
-                generator,
-                ctx,
-                llvm_usize.const_int(1, false),
-                (n_sz, false),
-                |generator, ctx, _, idx| {
-                    let elem = unsafe { n.data().get_unchecked(ctx, generator, &idx, None) };
-
-                    let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-                    let result = call_min(ctx, (elem_ty, accumulator), (elem_ty, elem));
-                    ctx.builder.build_store(accumulator_addr, result).unwrap();
-
-                    Ok(())
-                },
-                llvm_usize.const_int(1, false),
-            )?;
-
-            let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-            accumulator
-        }
-
-        _ => unsupported_type(ctx, FN_NAME, &[a_ty]),
-    })
-}
-
 /// Invokes the `np_minimum` builtin function.
 pub fn call_numpy_minimum<'ctx, G: CodeGenerator + ?Sized>(
     generator: &mut G,
@@ -803,7 +795,7 @@ pub fn call_numpy_minimum<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -877,18 +869,20 @@ pub fn call_max<'ctx>(
     }
 }
 
-/// Invokes the `np_max` builtin function.
-pub fn call_numpy_max<'ctx, G: CodeGenerator + ?Sized>(
+/// Invokes the `np_max`, `np_min`, `np_argmax`, `np_argmin` functions
+/// * `fn_name`: Can be one of `"np_argmin"`, `"np_argmax"`, `"np_max"`, `"np_min"`
+pub fn call_numpy_max_min<'ctx, G: CodeGenerator + ?Sized>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, '_>,
     a: (Type, BasicValueEnum<'ctx>),
+    fn_name: &str,
 ) -> Result<BasicValueEnum<'ctx>, String> {
-    const FN_NAME: &str = "np_max";
+    debug_assert!(["np_argmin", "np_argmax", "np_max", "np_min"].iter().any(|f| *f == fn_name));
 
+    let llvm_int64 = ctx.ctx.i64_type();
     let llvm_usize = generator.get_size_type(ctx.ctx);
 
     let (a_ty, a) = a;
-
     Ok(match a {
         BasicValueEnum::IntValue(_) | BasicValueEnum::FloatValue(_) => {
             debug_assert!([
@@ -902,9 +896,12 @@ pub fn call_numpy_max<'ctx, G: CodeGenerator + ?Sized>(
             .iter()
             .any(|ty| ctx.unifier.unioned(a_ty, *ty)));
 
-            a
+            match fn_name {
+                "np_argmin" | "np_argmax" => llvm_int64.const_zero().into(),
+                "np_max" | "np_min" => a,
+                _ => codegen_unreachable!(ctx),
+            }
         }
-
         BasicValueEnum::PointerValue(n)
             if a_ty.obj_id(&ctx.unifier).is_some_and(|id| id == PrimDef::NDArray.id()) =>
         {
@@ -923,41 +920,82 @@ pub fn call_numpy_max<'ctx, G: CodeGenerator + ?Sized>(
                     generator,
                     n_sz_eqz,
                     "0:ValueError",
-                    "zero-size array to reduction operation minimum which has no identity",
+                    format!("zero-size array to reduction operation {fn_name}").as_str(),
                     [None, None, None],
                     ctx.current_loc,
                 );
             }
 
             let accumulator_addr = generator.gen_var_alloc(ctx, llvm_ndarray_ty, None)?;
+            let res_idx = generator.gen_var_alloc(ctx, llvm_int64.into(), None)?;
+
             unsafe {
                 let identity =
                     n.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None);
                 ctx.builder.build_store(accumulator_addr, identity).unwrap();
+                ctx.builder.build_store(res_idx, llvm_int64.const_zero()).unwrap();
             }
 
             gen_for_callback_incrementing(
                 generator,
                 ctx,
-                llvm_usize.const_int(1, false),
+                None,
+                llvm_int64.const_int(1, false),
                 (n_sz, false),
                 |generator, ctx, _, idx| {
                     let elem = unsafe { n.data().get_unchecked(ctx, generator, &idx, None) };
-
                     let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-                    let result = call_max(ctx, (elem_ty, accumulator), (elem_ty, elem));
+                    let cur_idx = ctx.builder.build_load(res_idx, "").unwrap();
+
+                    let result = match fn_name {
+                        "np_argmin" | "np_min" => {
+                            call_min(ctx, (elem_ty, accumulator), (elem_ty, elem))
+                        }
+                        "np_argmax" | "np_max" => {
+                            call_max(ctx, (elem_ty, accumulator), (elem_ty, elem))
+                        }
+                        _ => codegen_unreachable!(ctx),
+                    };
+
+                    let updated_idx = match (accumulator, result) {
+                        (BasicValueEnum::IntValue(m), BasicValueEnum::IntValue(n)) => ctx
+                            .builder
+                            .build_select(
+                                ctx.builder.build_int_compare(IntPredicate::NE, m, n, "").unwrap(),
+                                idx.into(),
+                                cur_idx,
+                                "",
+                            )
+                            .unwrap(),
+                        (BasicValueEnum::FloatValue(m), BasicValueEnum::FloatValue(n)) => ctx
+                            .builder
+                            .build_select(
+                                ctx.builder
+                                    .build_float_compare(FloatPredicate::ONE, m, n, "")
+                                    .unwrap(),
+                                idx.into(),
+                                cur_idx,
+                                "",
+                            )
+                            .unwrap(),
+                        _ => unsupported_type(ctx, fn_name, &[elem_ty, elem_ty]),
+                    };
+                    ctx.builder.build_store(res_idx, updated_idx).unwrap();
                     ctx.builder.build_store(accumulator_addr, result).unwrap();
 
                     Ok(())
                 },
-                llvm_usize.const_int(1, false),
+                llvm_int64.const_int(1, false),
             )?;
 
-            let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-            accumulator
+            match fn_name {
+                "np_argmin" | "np_argmax" => ctx.builder.build_load(res_idx, "").unwrap(),
+                "np_max" | "np_min" => ctx.builder.build_load(accumulator_addr, "").unwrap(),
+                _ => codegen_unreachable!(ctx),
+            }
         }
 
-        _ => unsupported_type(ctx, FN_NAME, &[a_ty]),
+        _ => unsupported_type(ctx, fn_name, &[a_ty]),
     })
 }
 
@@ -1019,7 +1057,7 @@ pub fn call_numpy_maximum<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1049,9 +1087,9 @@ pub fn call_numpy_maximum<'ctx, G: CodeGenerator + ?Sized>(
 /// * `(arg_ty, arg_val)`: The [`Type`] and llvm value of the input argument.
 /// * `fn_name`: The name of the function, only used when throwing an error with [`unsupported_type`]
 /// * `get_ret_elem_type`: A function that takes in the input scalar [`Type`], and returns the function's return scalar [`Type`].
-/// Return a constant [`Type`] here if the return type does not depend on the input type.
+///   Return a constant [`Type`] here if the return type does not depend on the input type.
 /// * `on_scalar`: The function that acts on the scalars of the input. Returns [`Option::None`]
-/// if the scalar type & value are faulty and should panic with [`unsupported_type`].
+///   if the scalar type & value are faulty and should panic with [`unsupported_type`].
 fn helper_call_numpy_unary_elementwise<'ctx, OnScalarFn, RetElemFn, G>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, '_>,
@@ -1162,9 +1200,9 @@ pub fn call_abs<'ctx, G: CodeGenerator + ?Sized>(
 /// * `$name:ident`: The identifier of the rust function to be generated.
 /// * `$fn_name:literal`: To be passed to the `fn_name` parameter of [`helper_call_numpy_unary_elementwise`]
 /// * `$get_ret_elem_type:expr`: To be passed to the `get_ret_elem_type` parameter of [`helper_call_numpy_unary_elementwise`].
-/// But there is no need to make it a reference.
+///   But there is no need to make it a reference.
 /// * `$on_scalar:expr`: To be passed to the `on_scalar` parameter of [`helper_call_numpy_unary_elementwise`].
-/// But there is no need to make it a reference.
+///   But there is no need to make it a reference.
 macro_rules! create_helper_call_numpy_unary_elementwise {
     ($name:ident, $fn_name:literal, $get_ret_elem_type:expr, $on_scalar:expr) => {
         #[allow(clippy::redundant_closure_call)]
@@ -1191,7 +1229,7 @@ macro_rules! create_helper_call_numpy_unary_elementwise {
 /// * `$name:ident`: The identifier of the rust function to be generated.
 /// * `$fn_name:literal`: To be passed to the `fn_name` parameter of [`helper_call_numpy_unary_elementwise`].
 /// * `$on_scalar:expr`: The closure (see below for its type) that acts on float scalar values and returns
-/// the boolean results of LLVM type `i1`. The returned `i1` value will be converted into an `i8`.
+///   the boolean results of LLVM type `i1`. The returned `i1` value will be converted into an `i8`.
 ///
 /// ```ignore
 /// // Type of `$on_scalar:expr`
@@ -1383,7 +1421,7 @@ create_helper_call_numpy_unary_elementwise_float_to_float!(
 create_helper_call_numpy_unary_elementwise_float_to_float!(
     call_numpy_rint,
     "np_rint",
-    llvm_intrinsics::call_float_roundeven
+    llvm_intrinsics::call_float_rint
 );
 
 create_helper_call_numpy_unary_elementwise_float_to_float!(
@@ -1459,7 +1497,7 @@ pub fn call_numpy_arctan2<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1526,7 +1564,7 @@ pub fn call_numpy_copysign<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1593,7 +1631,7 @@ pub fn call_numpy_fmax<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1660,7 +1698,7 @@ pub fn call_numpy_fmin<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1783,7 +1821,7 @@ pub fn call_numpy_hypot<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1850,7 +1888,7 @@ pub fn call_numpy_nextafter<'ctx, G: CodeGenerator + ?Sized>(
             } else if is_ndarray2 {
                 unpack_ndarray_var_tys(&mut ctx.unifier, x2_ty).0
             } else {
-                unreachable!()
+                codegen_unreachable!(ctx)
             };
 
             let x1_scalar_ty = if is_ndarray1 { dtype } else { x1_ty };
@@ -1874,3 +1912,501 @@ pub fn call_numpy_nextafter<'ctx, G: CodeGenerator + ?Sized>(
         _ => unsupported_type(ctx, FN_NAME, &[x1_ty, x2_ty]),
     })
 }
+
+/// Allocates a struct with the fields specified by `out_matrices` and returns a pointer to it
+fn build_output_struct<'ctx>(
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    out_matrices: Vec<BasicValueEnum<'ctx>>,
+) -> PointerValue<'ctx> {
+    let field_ty =
+        out_matrices.iter().map(BasicValueEnum::get_type).collect::<Vec<BasicTypeEnum>>();
+    let out_ty = ctx.ctx.struct_type(&field_ty, false);
+    let out_ptr = ctx.builder.build_alloca(out_ty, "").unwrap();
+
+    for (i, v) in out_matrices.into_iter().enumerate() {
+        unsafe {
+            let ptr = ctx
+                .builder
+                .build_in_bounds_gep(
+                    out_ptr,
+                    &[
+                        ctx.ctx.i32_type().const_zero(),
+                        ctx.ctx.i32_type().const_int(i as u64, false),
+                    ],
+                    "",
+                )
+                .unwrap();
+            ctx.builder.build_store(ptr, v).unwrap();
+        }
+    }
+    out_ptr
+}
+
+/// Invokes the `np_linalg_cholesky` linalg function
+pub fn call_np_linalg_cholesky<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_cholesky";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_cholesky(ctx, x1, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_qr` linalg function
+pub fn call_np_linalg_qr<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_qr";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unimplemented!("{FN_NAME} operates on float type NdArrays only");
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+        let k = llvm_intrinsics::call_int_smin(ctx, dim0, dim1, None);
+
+        let out_q = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, k])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_r = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[k, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_qr(ctx, x1, out_q, out_r, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_q, out_r]);
+
+        Ok(ctx.builder.build_load(out_ptr, "QR_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_svd` linalg function
+pub fn call_np_linalg_svd<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_svd";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+        let k = llvm_intrinsics::call_int_smin(ctx, dim0, dim1, None);
+
+        let out_u = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_s = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[k])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_vh = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim1, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_svd(ctx, x1, out_u, out_s, out_vh, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_u, out_s, out_vh]);
+
+        Ok(ctx.builder.build_load(out_ptr, "SVD_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_inv` linalg function
+pub fn call_np_linalg_inv<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_inv";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_inv(ctx, x1, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_pinv` linalg function
+pub fn call_np_linalg_pinv<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_pinv";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim1, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_pinv(ctx, x1, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `sp_linalg_lu` linalg function
+pub fn call_sp_linalg_lu<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "sp_linalg_lu";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+        let k = llvm_intrinsics::call_int_smin(ctx, dim0, dim1, None);
+
+        let out_l = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, k])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_u = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[k, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_sp_linalg_lu(ctx, x1, out_l, out_u, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_l, out_u]);
+        Ok(ctx.builder.build_load(out_ptr, "LU_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_matrix_power` linalg function
+pub fn call_np_linalg_matrix_power<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+    x2: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_matrix_power";
+    let (x1_ty, x1) = x1;
+    let (x2_ty, x2) = x2;
+    let x2 = call_float(generator, ctx, (x2_ty, x2)).unwrap();
+
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    if let (BasicValueEnum::PointerValue(n1), BasicValueEnum::FloatValue(n2)) = (x1, x2) {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty, x2_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        // Changing second parameter to a `NDArray` for uniformity in function call
+        let n2_array = numpy::create_ndarray_const_shape(
+            generator,
+            ctx,
+            elem_ty,
+            &[llvm_usize.const_int(1, false)],
+        )
+        .unwrap();
+        unsafe {
+            n2_array.data().set_unchecked(
+                ctx,
+                generator,
+                &llvm_usize.const_zero(),
+                n2.as_basic_value_enum(),
+            );
+        };
+        let n2_array = n2_array.as_base_value().as_basic_value_enum();
+
+        let outdim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let outdim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[outdim0, outdim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_matrix_power(ctx, x1, n2_array, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty, x2_ty])
+    }
+}
+
+/// Invokes the `np_linalg_det` linalg function
+pub fn call_np_linalg_det<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_matrix_power";
+    let (x1_ty, x1) = x1;
+
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    if let BasicValueEnum::PointerValue(_) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        // Changing second parameter to a `NDArray` for uniformity in function call
+        let out = numpy::create_ndarray_const_shape(
+            generator,
+            ctx,
+            elem_ty,
+            &[llvm_usize.const_int(1, false)],
+        )
+        .unwrap();
+        extern_fns::call_np_linalg_det(ctx, x1, out.as_base_value().as_basic_value_enum(), None);
+        let res =
+            unsafe { out.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None) };
+        Ok(res)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `sp_linalg_schur` linalg function
+pub fn call_sp_linalg_schur<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "sp_linalg_schur";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let out_t = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_z = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_sp_linalg_schur(ctx, x1, out_t, out_z, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_t, out_z]);
+        Ok(ctx.builder.build_load(out_ptr, "Schur_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `sp_linalg_hessenberg` linalg function
+pub fn call_sp_linalg_hessenberg<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "sp_linalg_hessenberg";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let out_h = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_q = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        extern_fns::call_sp_linalg_hessenberg(ctx, x1, out_h, out_q, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_h, out_q]);
+        Ok(ctx
+            .builder
+            .build_load(out_ptr, "Hessenberg_decomposition_result")
+            .map(Into::into)
+            .unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}

nac3core/src/codegen/classes.rs

@@ -1,17 +1,16 @@
+use inkwell::{
+    context::Context,
+    types::{AnyTypeEnum, ArrayType, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{ArrayValue, BasicValue, BasicValueEnum, IntValue, PointerValue, StructValue},
+    AddressSpace, IntPredicate,
+};
+
 use crate::codegen::{
     irrt::{call_ndarray_calc_size, call_ndarray_flatten_index},
     llvm_intrinsics::call_int_umin,
     stmt::gen_for_callback_incrementing,
     CodeGenContext, CodeGenerator,
 };
-use inkwell::context::Context;
-use inkwell::types::{ArrayType, BasicType, StructType};
-use inkwell::values::{ArrayValue, BasicValue, StructValue};
-use inkwell::{
-    types::{AnyTypeEnum, BasicTypeEnum, IntType, PointerType},
-    values::{BasicValueEnum, IntValue, PointerValue},
-    AddressSpace, IntPredicate,
-};
 
 /// A LLVM type that is used to represent a non-primitive type in NAC3.
 pub trait ProxyType<'ctx>: Into<Self::Base> {
@@ -713,12 +712,25 @@ impl<'ctx> ListValue<'ctx> {
     /// If `size` is [None], the size stored in the field of this instance is used instead.
     pub fn create_data(
         &self,
-        ctx: &CodeGenContext<'ctx, '_>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         elem_ty: BasicTypeEnum<'ctx>,
         size: Option<IntValue<'ctx>>,
     ) {
         let size = size.unwrap_or_else(|| self.load_size(ctx, None));
-        self.store_data(ctx, ctx.builder.build_array_alloca(elem_ty, size, "").unwrap());
+
+        let data = ctx
+            .builder
+            .build_select(
+                ctx.builder
+                    .build_int_compare(IntPredicate::NE, size, self.llvm_usize.const_zero(), "")
+                    .unwrap(),
+                ctx.builder.build_array_alloca(elem_ty, size, "").unwrap(),
+                elem_ty.ptr_type(AddressSpace::default()).const_zero(),
+                "",
+            )
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
+        self.store_data(ctx, data);
     }
 
     /// Returns the double-indirection pointer to the `data` array, as if by calling `getelementptr`
@@ -1237,11 +1249,13 @@ impl<'ctx> NDArrayType<'ctx> {
 
     /// Returns the element type of this `ndarray` type.
     #[must_use]
-    pub fn element_type(&self) -> BasicTypeEnum<'ctx> {
+    pub fn element_type(&self) -> AnyTypeEnum<'ctx> {
         self.as_base_type()
             .get_element_type()
             .into_struct_type()
             .get_field_type_at_index(2)
+            .map(BasicTypeEnum::into_pointer_type)
+            .map(PointerType::get_element_type)
             .unwrap()
     }
 }
@@ -1391,7 +1405,7 @@ impl<'ctx> NDArrayValue<'ctx> {
 
     /// Returns the double-indirection pointer to the `data` array, as if by calling `getelementptr`
     /// on the field.
-    fn ptr_to_data(&self, ctx: &CodeGenContext<'ctx, '_>) -> PointerValue<'ctx> {
+    pub fn ptr_to_data(&self, ctx: &CodeGenContext<'ctx, '_>) -> PointerValue<'ctx> {
         let llvm_i32 = ctx.ctx.i32_type();
         let var_name = self.name.map(|v| format!("{v}.data.addr")).unwrap_or_default();
 
@@ -1704,6 +1718,7 @@ impl<'ctx, Index: UntypedArrayLikeAccessor<'ctx>> ArrayLikeIndexer<'ctx, Index>
         gen_for_callback_incrementing(
             generator,
             ctx,
+            None,
             llvm_usize.const_zero(),
             (len, false),
             |generator, ctx, _, i| {

nac3core/src/codegen/concrete_type.rs

@@ -1,3 +1,9 @@
+use std::collections::HashMap;
+
+use indexmap::IndexMap;
+
+use nac3parser::ast::StrRef;
+
 use crate::{
     symbol_resolver::SymbolValue,
     toplevel::DefinitionId,
@@ -9,10 +15,6 @@ use crate::{
     },
 };
 
-use indexmap::IndexMap;
-use nac3parser::ast::StrRef;
-use std::collections::HashMap;
-
 pub struct ConcreteTypeStore {
     store: Vec<ConcreteTypeEnum>,
 }
@@ -25,6 +27,7 @@ pub struct ConcreteFuncArg {
     pub name: StrRef,
     pub ty: ConcreteType,
     pub default_value: Option<SymbolValue>,
+    pub is_vararg: bool,
 }
 
 #[derive(Clone, Debug)]
@@ -46,9 +49,7 @@ pub enum ConcreteTypeEnum {
     TPrimitive(Primitive),
     TTuple {
         ty: Vec<ConcreteType>,
-    },
-    TList {
-        ty: ConcreteType,
+        is_vararg_ctx: bool,
     },
     TObj {
         obj_id: DefinitionId,
@@ -105,8 +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),
@@ -161,14 +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,
@@ -254,15 +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) }
             }
@@ -286,6 +291,7 @@ 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),

nac3core/src/codegen/extern_fns.rs

@@ -1,517 +1,102 @@
-use inkwell::attributes::{Attribute, AttributeLoc};
-use inkwell::values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue};
+use inkwell::{
+    attributes::{Attribute, AttributeLoc},
+    values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue},
+};
 use itertools::Either;
 
 use crate::codegen::CodeGenContext;
 
-/// Invokes the [`tan`](https://en.cppreference.com/w/c/numeric/math/tan) function.
-pub fn call_tan<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "tan";
+/// 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!(arg.get_type(), llvm_f64);
+            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(&[llvm_f64.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),
-            );
+            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()
         }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.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 [`asin`](https://en.cppreference.com/w/c/numeric/math/asin) function.
-pub fn call_asin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "asin";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`acos`](https://en.cppreference.com/w/c/numeric/math/acos) function.
-pub fn call_acos<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "acos";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`atan`](https://en.cppreference.com/w/c/numeric/math/atan) function.
-pub fn call_atan<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "atan";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`sinh`](https://en.cppreference.com/w/c/numeric/math/sinh) function.
-pub fn call_sinh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "sinh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`cosh`](https://en.cppreference.com/w/c/numeric/math/cosh) function.
-pub fn call_cosh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "cosh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`tanh`](https://en.cppreference.com/w/c/numeric/math/tanh) function.
-pub fn call_tanh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "tanh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`asinh`](https://en.cppreference.com/w/c/numeric/math/asinh) function.
-pub fn call_asinh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "asinh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`acosh`](https://en.cppreference.com/w/c/numeric/math/acosh) function.
-pub fn call_acosh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "acosh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`atanh`](https://en.cppreference.com/w/c/numeric/math/atanh) function.
-pub fn call_atanh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "atanh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`expm1`](https://en.cppreference.com/w/c/numeric/math/expm1) function.
-pub fn call_expm1<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "expm1";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.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, &[arg.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 [`cbrt`](https://en.cppreference.com/w/c/numeric/math/cbrt) function.
-pub fn call_cbrt<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "cbrt";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nosync", "nounwind", "readonly", "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()], 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 [`erf`](https://en.cppreference.com/w/c/numeric/math/erf) function.
-pub fn call_erf<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "erf";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.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 [`erfc`](https://en.cppreference.com/w/c/numeric/math/erfc) function.
-pub fn call_erfc<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "erfc";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.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 [`j1`](https://www.gnu.org/software/libc/manual/html_node/Special-Functions.html#index-j1)
-/// function.
-pub fn call_j1<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "j1";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.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 [`atan2`](https://en.cppreference.com/w/c/numeric/math/atan2) function.
-pub fn call_atan2<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    y: FloatValue<'ctx>,
-    x: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "atan2";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(y.get_type(), llvm_f64);
-    debug_assert_eq!(x.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_f64.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, &[y.into(), x.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>(
@@ -548,66 +133,61 @@ pub fn call_ldexp<'ctx>(
         .unwrap()
 }
 
-/// Invokes the [`hypot`](https://en.cppreference.com/w/c/numeric/math/hypot) function.
-pub fn call_hypot<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    x: FloatValue<'ctx>,
-    y: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "hypot";
+/// 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 llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(x.get_type(), llvm_f64);
-    debug_assert_eq!(y.get_type(), llvm_f64);
+                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
+            });
 
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[x.into(), y.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()
+            ctx.builder.build_call(extern_fn, &[$($input_matrix.into(),)*], name.unwrap_or_default()).unwrap();
+        }
+    };
 }
 
-/// Invokes the [`nextafter`](https://en.cppreference.com/w/c/numeric/math/nextafter) function.
-pub fn call_nextafter<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    from: FloatValue<'ctx>,
-    to: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "nextafter";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(from.get_type(), llvm_f64);
-    debug_assert_eq!(to.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[from.into(), to.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_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

@@ -1,15 +1,17 @@
+use inkwell::{
+    context::Context,
+    types::{BasicTypeEnum, IntType},
+    values::{BasicValueEnum, IntValue, PointerValue},
+};
+
+use nac3parser::ast::{Expr, Stmt, StrRef};
+
 use crate::{
     codegen::{bool_to_i1, bool_to_i8, classes::ArraySliceValue, expr::*, stmt::*, CodeGenContext},
     symbol_resolver::ValueEnum,
     toplevel::{DefinitionId, TopLevelDef},
     typecheck::typedef::{FunSignature, Type},
 };
-use inkwell::{
-    context::Context,
-    types::{BasicTypeEnum, IntType},
-    values::{BasicValueEnum, IntValue, PointerValue},
-};
-use nac3parser::ast::{Expr, Stmt, StrRef};
 
 pub trait CodeGenerator {
     /// Return the module name for the code generator.
@@ -57,6 +59,7 @@ 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>(
@@ -123,11 +126,45 @@ pub trait CodeGenerator {
         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.

nac3core/src/codegen/irrt/irrt.c

@@ -1,389 +0,0 @@
-typedef _BitInt(8) int8_t;
-typedef unsigned _BitInt(8) uint8_t;
-typedef _BitInt(32) int32_t;
-typedef unsigned _BitInt(32) uint32_t;
-typedef _BitInt(64) int64_t;
-typedef unsigned _BitInt(64) uint64_t;
-
-# define MAX(a, b) (a > b ? a : b)
-# define MIN(a, b) (a > b ? b : a)
-
-# define NULL ((void *) 0)
-
-// 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 = __builtin_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;
-}
-
-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);
-}
-
-uint32_t __nac3_ndarray_calc_size(
-    const uint64_t *list_data,
-    uint32_t list_len,
-    uint32_t begin_idx,
-    uint32_t end_idx
-) {
-    __builtin_assume(end_idx <= list_len);
-
-    uint32_t num_elems = 1;
-    for (uint32_t i = begin_idx; i < end_idx; ++i) {
-        uint64_t val = list_data[i];
-        __builtin_assume(val > 0);
-        num_elems *= val;
-    }
-    return num_elems;
-}
-
-uint64_t __nac3_ndarray_calc_size64(
-    const uint64_t *list_data,
-    uint64_t list_len,
-    uint64_t begin_idx,
-    uint64_t end_idx
-) {
-    __builtin_assume(end_idx <= list_len);
-
-    uint64_t num_elems = 1;
-    for (uint64_t i = begin_idx; i < end_idx; ++i) {
-        uint64_t val = list_data[i];
-        __builtin_assume(val > 0);
-       num_elems *= val;
-    }
-    return num_elems;
-}
-
-void __nac3_ndarray_calc_nd_indices(
-    uint32_t index,
-    const uint32_t* dims,
-    uint32_t num_dims,
-    uint32_t* idxs
-) {
-    uint32_t stride = 1;
-    for (uint32_t dim = 0; dim < num_dims; dim++) {
-        uint32_t i = num_dims - dim - 1;
-        __builtin_assume(dims[i] > 0);
-        idxs[i] = (index / stride) % dims[i];
-        stride *= dims[i];
-    }
-}
-
-void __nac3_ndarray_calc_nd_indices64(
-    uint64_t index,
-    const uint64_t* dims,
-    uint64_t num_dims,
-    uint32_t* idxs
-) {
-    uint64_t stride = 1;
-    for (uint64_t dim = 0; dim < num_dims; dim++) {
-        uint64_t i = num_dims - dim - 1;
-        __builtin_assume(dims[i] > 0);
-        idxs[i] = (uint32_t) ((index / stride) % dims[i]);
-        stride *= dims[i];
-    }
-}
-
-uint32_t __nac3_ndarray_flatten_index(
-    const uint32_t* dims,
-    uint32_t num_dims,
-    const uint32_t* indices,
-    uint32_t num_indices
-) {
-    uint32_t idx = 0;
-    uint32_t stride = 1;
-    for (uint32_t i = 0; i < num_dims; ++i) {
-        uint32_t ri = num_dims - i - 1;
-        if (ri < num_indices) {
-            idx += (stride * indices[ri]);
-        }
-
-        __builtin_assume(dims[i] > 0);
-        stride *= dims[ri];
-    }
-    return idx;
-}
-
-uint64_t __nac3_ndarray_flatten_index64(
-    const uint64_t* dims,
-    uint64_t num_dims,
-    const uint32_t* indices,
-    uint64_t num_indices
-) {
-    uint64_t idx = 0;
-    uint64_t stride = 1;
-    for (uint64_t i = 0; i < num_dims; ++i) {
-        uint64_t ri = num_dims - i - 1;
-        if (ri < num_indices) {
-            idx += (stride * indices[ri]);
-        }
-
-        __builtin_assume(dims[i] > 0);
-        stride *= dims[ri];
-    }
-    return idx;
-}
-
-void __nac3_ndarray_calc_broadcast(
-    const uint32_t *lhs_dims,
-    uint32_t lhs_ndims,
-    const uint32_t *rhs_dims,
-    uint32_t rhs_ndims,
-    uint32_t *out_dims
-) {
-    uint32_t max_ndims = lhs_ndims > rhs_ndims ? lhs_ndims : rhs_ndims;
-
-    for (uint32_t i = 0; i < max_ndims; ++i) {
-        uint32_t *lhs_dim_sz = i < lhs_ndims ? &lhs_dims[lhs_ndims - i - 1] : NULL;
-        uint32_t *rhs_dim_sz = i < rhs_ndims ? &rhs_dims[rhs_ndims - i - 1] : NULL;
-        uint32_t *out_dim = &out_dims[max_ndims - i - 1];
-
-        if (lhs_dim_sz == NULL) {
-            *out_dim = *rhs_dim_sz;
-        } else if (rhs_dim_sz == NULL) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == 1) {
-            *out_dim = *rhs_dim_sz;
-        } else if (*rhs_dim_sz == 1) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == *rhs_dim_sz) {
-            *out_dim = *lhs_dim_sz;
-        } else {
-            __builtin_unreachable();
-        }
-    }
-}
-
-void __nac3_ndarray_calc_broadcast64(
-    const uint64_t *lhs_dims,
-    uint64_t lhs_ndims,
-    const uint64_t *rhs_dims,
-    uint64_t rhs_ndims,
-    uint64_t *out_dims
-) {
-    uint64_t max_ndims = lhs_ndims > rhs_ndims ? lhs_ndims : rhs_ndims;
-
-    for (uint64_t i = 0; i < max_ndims; ++i) {
-        uint64_t *lhs_dim_sz = i < lhs_ndims ? &lhs_dims[lhs_ndims - i - 1] : NULL;
-        uint64_t *rhs_dim_sz = i < rhs_ndims ? &rhs_dims[rhs_ndims - i - 1] : NULL;
-        uint64_t *out_dim = &out_dims[max_ndims - i - 1];
-
-        if (lhs_dim_sz == NULL) {
-            *out_dim = *rhs_dim_sz;
-        } else if (rhs_dim_sz == NULL) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == 1) {
-            *out_dim = *rhs_dim_sz;
-        } else if (*rhs_dim_sz == 1) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == *rhs_dim_sz) {
-            *out_dim = *lhs_dim_sz;
-        } else {
-            __builtin_unreachable();
-        }
-    }
-}
-
-void __nac3_ndarray_calc_broadcast_idx(
-    const uint32_t *src_dims,
-    uint32_t src_ndims,
-    const uint32_t *in_idx,
-    uint32_t *out_idx
-) {
-    for (uint32_t i = 0; i < src_ndims; ++i) {
-        uint32_t src_i = src_ndims - i - 1;
-        out_idx[src_i] = src_dims[src_i] == 1 ? 0 : in_idx[src_i];
-    }
-}
-
-void __nac3_ndarray_calc_broadcast_idx64(
-    const uint64_t *src_dims,
-    uint64_t src_ndims,
-    const uint32_t *in_idx,
-    uint32_t *out_idx
-) {
-    for (uint64_t i = 0; i < src_ndims; ++i) {
-        uint64_t src_i = src_ndims - i - 1;
-        out_idx[src_i] = src_dims[src_i] == 1 ? 0 : (uint32_t) in_idx[src_i];
-    }
-}

nac3core/src/codegen/irrt/mod.rs

@@ -1,28 +1,30 @@
-use crate::typecheck::typedef::Type;
-
-use super::{
-    classes::{
-        ArrayLikeIndexer, ArrayLikeValue, ArraySliceValue, ListValue, NDArrayValue,
-        TypedArrayLikeAdapter, UntypedArrayLikeAccessor,
-    },
-    llvm_intrinsics, CodeGenContext, CodeGenerator,
-};
-use crate::codegen::classes::TypedArrayLikeAccessor;
-use crate::codegen::stmt::gen_for_callback_incrementing;
 use inkwell::{
     attributes::{Attribute, AttributeLoc},
     context::Context,
     memory_buffer::MemoryBuffer,
     module::Module,
     types::{BasicTypeEnum, IntType},
-    values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue},
+    values::{BasicValue, BasicValueEnum, CallSiteValue, FloatValue, IntValue},
     AddressSpace, IntPredicate,
 };
 use itertools::Either;
+
 use nac3parser::ast::Expr;
 
+use super::{
+    classes::{
+        ArrayLikeIndexer, ArrayLikeValue, ArraySliceValue, ListValue, NDArrayValue,
+        TypedArrayLikeAccessor, TypedArrayLikeAdapter, UntypedArrayLikeAccessor,
+    },
+    llvm_intrinsics,
+    macros::codegen_unreachable,
+    stmt::gen_for_callback_incrementing,
+    CodeGenContext, CodeGenerator,
+};
+use crate::{symbol_resolver::SymbolResolver, typecheck::typedef::Type};
+
 #[must_use]
-pub fn load_irrt(ctx: &Context) -> Module {
+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",
@@ -38,6 +40,25 @@ 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
 }
 
@@ -55,7 +76,7 @@ pub fn integer_power<'ctx, G: CodeGenerator + ?Sized>(
         (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!(),
+        _ => codegen_unreachable!(ctx),
     };
     let base_type = base.get_type();
     let pow_fun = ctx.module.get_function(symbol).unwrap_or_else(|| {
@@ -441,7 +462,7 @@ pub fn list_slice_assignment<'ctx, G: CodeGenerator + ?Sized>(
                     BasicTypeEnum::IntType(t) => t.size_of(),
                     BasicTypeEnum::PointerType(t) => t.size_of(),
                     BasicTypeEnum::StructType(t) => t.size_of().unwrap(),
-                    _ => unreachable!(),
+                    _ => codegen_unreachable!(ctx),
                 };
                 ctx.builder.build_int_truncate_or_bit_cast(s, int32, "size").unwrap()
             }
@@ -568,7 +589,8 @@ pub fn call_j0<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> Flo
 ///
 /// * `dims` - An [`ArrayLikeIndexer`] containing the size of each dimension.
 /// * `range` - The dimension index to begin and end (exclusively) calculating the dimensions for,
-/// or [`None`] if starting from the first dimension and ending at the last dimension respectively.
+///   or [`None`] if starting from the first dimension and ending at the last dimension
+///   respectively.
 pub fn call_ndarray_calc_size<'ctx, G, Dims>(
     generator: &G,
     ctx: &CodeGenContext<'ctx, '_>,
@@ -579,18 +601,16 @@ where
     G: CodeGenerator + ?Sized,
     Dims: ArrayLikeIndexer<'ctx>,
 {
-    let llvm_i64 = ctx.ctx.i64_type();
     let llvm_usize = generator.get_size_type(ctx.ctx);
-
-    let llvm_pi64 = llvm_i64.ptr_type(AddressSpace::default());
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
 
     let ndarray_calc_size_fn_name = match llvm_usize.get_bit_width() {
         32 => "__nac3_ndarray_calc_size",
         64 => "__nac3_ndarray_calc_size64",
-        bw => unreachable!("Unsupported size type bit width: {}", bw),
+        bw => codegen_unreachable!(ctx, "Unsupported size type bit width: {}", bw),
     };
     let ndarray_calc_size_fn_t = llvm_usize.fn_type(
-        &[llvm_pi64.into(), llvm_usize.into(), llvm_usize.into(), llvm_usize.into()],
+        &[llvm_pusize.into(), llvm_usize.into(), llvm_usize.into(), llvm_usize.into()],
         false,
     );
     let ndarray_calc_size_fn =
@@ -622,7 +642,7 @@ where
 ///
 /// * `index` - The index to compute the multidimensional index for.
 /// * `ndarray` - LLVM pointer to the `NDArray`. This value must be the LLVM representation of an
-/// `NDArray`.
+///   `NDArray`.
 pub fn call_ndarray_calc_nd_indices<'ctx, G: CodeGenerator + ?Sized>(
     generator: &G,
     ctx: &mut CodeGenContext<'ctx, '_>,
@@ -638,7 +658,7 @@ pub fn call_ndarray_calc_nd_indices<'ctx, G: CodeGenerator + ?Sized>(
     let ndarray_calc_nd_indices_fn_name = match llvm_usize.get_bit_width() {
         32 => "__nac3_ndarray_calc_nd_indices",
         64 => "__nac3_ndarray_calc_nd_indices64",
-        bw => unreachable!("Unsupported size type bit width: {}", bw),
+        bw => codegen_unreachable!(ctx, "Unsupported size type bit width: {}", bw),
     };
     let ndarray_calc_nd_indices_fn =
         ctx.module.get_function(ndarray_calc_nd_indices_fn_name).unwrap_or_else(|| {
@@ -707,7 +727,7 @@ where
     let ndarray_flatten_index_fn_name = match llvm_usize.get_bit_width() {
         32 => "__nac3_ndarray_flatten_index",
         64 => "__nac3_ndarray_flatten_index64",
-        bw => unreachable!("Unsupported size type bit width: {}", bw),
+        bw => codegen_unreachable!(ctx, "Unsupported size type bit width: {}", bw),
     };
     let ndarray_flatten_index_fn =
         ctx.module.get_function(ndarray_flatten_index_fn_name).unwrap_or_else(|| {
@@ -746,7 +766,7 @@ where
 /// multidimensional index.
 ///
 /// * `ndarray` - LLVM pointer to the `NDArray`. This value must be the LLVM representation of an
-/// `NDArray`.
+///   `NDArray`.
 /// * `indices` - The multidimensional index to compute the flattened index for.
 pub fn call_ndarray_flatten_index<'ctx, G, Index>(
     generator: &mut G,
@@ -775,7 +795,7 @@ pub fn call_ndarray_calc_broadcast<'ctx, G: CodeGenerator + ?Sized>(
     let ndarray_calc_broadcast_fn_name = match llvm_usize.get_bit_width() {
         32 => "__nac3_ndarray_calc_broadcast",
         64 => "__nac3_ndarray_calc_broadcast64",
-        bw => unreachable!("Unsupported size type bit width: {}", bw),
+        bw => codegen_unreachable!(ctx, "Unsupported size type bit width: {}", bw),
     };
     let ndarray_calc_broadcast_fn =
         ctx.module.get_function(ndarray_calc_broadcast_fn_name).unwrap_or_else(|| {
@@ -800,6 +820,7 @@ pub fn call_ndarray_calc_broadcast<'ctx, G: CodeGenerator + ?Sized>(
     gen_for_callback_incrementing(
         generator,
         ctx,
+        None,
         llvm_usize.const_zero(),
         (min_ndims, false),
         |generator, ctx, _, idx| {
@@ -894,7 +915,7 @@ pub fn call_ndarray_calc_broadcast_index<
     let ndarray_calc_broadcast_fn_name = match llvm_usize.get_bit_width() {
         32 => "__nac3_ndarray_calc_broadcast_idx",
         64 => "__nac3_ndarray_calc_broadcast_idx64",
-        bw => unreachable!("Unsupported size type bit width: {}", bw),
+        bw => codegen_unreachable!(ctx, "Unsupported size type bit width: {}", bw),
     };
     let ndarray_calc_broadcast_fn =
         ctx.module.get_function(ndarray_calc_broadcast_fn_name).unwrap_or_else(|| {

nac3core/src/codegen/llvm_intrinsics.rs

@@ -1,12 +1,14 @@
-use crate::codegen::CodeGenContext;
-use inkwell::context::Context;
-use inkwell::intrinsics::Intrinsic;
-use inkwell::types::AnyTypeEnum::IntType;
-use inkwell::types::FloatType;
-use inkwell::values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue, PointerValue};
-use inkwell::AddressSpace;
+use inkwell::{
+    context::Context,
+    intrinsics::Intrinsic,
+    types::{AnyTypeEnum::IntType, FloatType},
+    values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue, PointerValue},
+    AddressSpace,
+};
 use itertools::Either;
 
+use crate::codegen::CodeGenContext;
+
 /// Returns the string representation for the floating-point type `ft` when used in intrinsic
 /// functions.
 fn get_float_intrinsic_repr(ctx: &Context, ft: FloatType) -> &'static str {
@@ -35,6 +37,40 @@ fn get_float_intrinsic_repr(ctx: &Context, ft: FloatType) -> &'static str {
     unreachable!()
 }
 
+/// 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_start`](https://llvm.org/docs/LangRef.html#llvm-va-start-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>(
@@ -62,145 +98,30 @@ pub fn call_stacksave<'ctx>(
 pub fn call_stackrestore<'ctx>(ctx: &CodeGenContext<'ctx, '_>, ptr: PointerValue<'ctx>) {
     const FN_NAME: &str = "llvm.stackrestore";
 
-    let llvm_i8 = ctx.ctx.i8_type();
-    let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+    /*
+        SEE https://github.com/TheDan64/inkwell/issues/496
 
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_p0i8.into()]))
-        .unwrap();
+        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.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> {
-    const FN_NAME: &str = "llvm.abs";
-
-    debug_assert_eq!(is_int_min_poison.get_type().get_bit_width(), 1);
-    debug_assert!(is_int_min_poison.is_const());
-
-    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(), is_int_min_poison.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()
-}
-
-/// Invokes the [`llvm.smax`](https://llvm.org/docs/LangRef.html#llvm-smax-intrinsic) intrinsic.
-pub fn call_int_smax<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.smax";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.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()
-}
-
-/// Invokes the [`llvm.smin`](https://llvm.org/docs/LangRef.html#llvm-smin-intrinsic) intrinsic.
-pub fn call_int_smin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.smin";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.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()
-}
-
-/// Invokes the [`llvm.umax`](https://llvm.org/docs/LangRef.html#llvm-umax-intrinsic) intrinsic.
-pub fn call_int_umax<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.umax";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.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()
-}
-
-/// Invokes the [`llvm.umin`](https://llvm.org/docs/LangRef.html#llvm-umin-intrinsic) intrinsic.
-pub fn call_int_umin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.umin";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.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()
-}
-
 /// 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.
@@ -264,7 +185,7 @@ pub fn call_memcpy_generic<'ctx>(
         dest
     } else {
         ctx.builder
-            .build_bitcast(dest, llvm_p0i8, "")
+            .build_bit_cast(dest, llvm_p0i8, "")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap()
     };
@@ -272,7 +193,7 @@ pub fn call_memcpy_generic<'ctx>(
         src
     } else {
         ctx.builder
-            .build_bitcast(src, llvm_p0i8, "")
+            .build_bit_cast(src, llvm_p0i8, "")
             .map(BasicValueEnum::into_pointer_value)
             .unwrap()
     };
@@ -280,28 +201,123 @@ pub fn call_memcpy_generic<'ctx>(
     call_memcpy(ctx, dest, src, len, is_volatile);
 }
 
-/// Invokes the [`llvm.sqrt`](https://llvm.org/docs/LangRef.html#llvm-sqrt-intrinsic) intrinsic.
-pub fn call_float_sqrt<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.sqrt";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
+/// 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, '_>,
@@ -327,393 +343,3 @@ pub fn call_float_powi<'ctx>(
         .map(Either::unwrap_left)
         .unwrap()
 }
-
-/// Invokes the [`llvm.sin`](https://llvm.org/docs/LangRef.html#llvm-sin-intrinsic) intrinsic.
-pub fn call_float_sin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.sin";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.cos`](https://llvm.org/docs/LangRef.html#llvm-cos-intrinsic) intrinsic.
-pub fn call_float_cos<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.cos";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.pow`](https://llvm.org/docs/LangRef.html#llvm-pow-intrinsic) intrinsic.
-pub fn call_float_pow<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    power: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.pow";
-
-    debug_assert_eq!(val.get_type(), power.get_type());
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_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.exp`](https://llvm.org/docs/LangRef.html#llvm-exp-intrinsic) intrinsic.
-pub fn call_float_exp<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.exp";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.exp2`](https://llvm.org/docs/LangRef.html#llvm-exp2-intrinsic) intrinsic.
-pub fn call_float_exp2<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.exp2";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.log`](https://llvm.org/docs/LangRef.html#llvm-log-intrinsic) intrinsic.
-pub fn call_float_log<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.log";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.log10`](https://llvm.org/docs/LangRef.html#llvm-log10-intrinsic) intrinsic.
-pub fn call_float_log10<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.log10";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.log2`](https://llvm.org/docs/LangRef.html#llvm-log2-intrinsic) intrinsic.
-pub fn call_float_log2<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.log2";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.fabs`](https://llvm.org/docs/LangRef.html#llvm-fabs-intrinsic) intrinsic.
-pub fn call_float_fabs<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    src: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.fabs";
-
-    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_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.minnum`](https://llvm.org/docs/LangRef.html#llvm-minnum-intrinsic) intrinsic.
-pub fn call_float_minnum<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val1: FloatValue<'ctx>,
-    val2: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.minnum";
-
-    debug_assert_eq!(val1.get_type(), val2.get_type());
-
-    let llvm_float_t = val1.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val1.into(), val2.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.maxnum`](https://llvm.org/docs/LangRef.html#llvm-maxnum-intrinsic) intrinsic.
-pub fn call_float_maxnum<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val1: FloatValue<'ctx>,
-    val2: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.maxnum";
-
-    debug_assert_eq!(val1.get_type(), val2.get_type());
-
-    let llvm_float_t = val1.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val1.into(), val2.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.copysign`](https://llvm.org/docs/LangRef.html#llvm-copysign-intrinsic) intrinsic.
-pub fn call_float_copysign<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    mag: FloatValue<'ctx>,
-    sgn: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.copysign";
-
-    debug_assert_eq!(mag.get_type(), sgn.get_type());
-
-    let llvm_float_t = mag.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[mag.into(), sgn.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.floor`](https://llvm.org/docs/LangRef.html#llvm-floor-intrinsic) intrinsic.
-pub fn call_float_floor<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.floor";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.ceil`](https://llvm.org/docs/LangRef.html#llvm-ceil-intrinsic) intrinsic.
-pub fn call_float_ceil<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.ceil";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.round`](https://llvm.org/docs/LangRef.html#llvm-round-intrinsic) intrinsic.
-pub fn call_float_round<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.round";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the
-/// [`llvm.roundeven`](https://llvm.org/docs/LangRef.html#llvm-roundeven-intrinsic) intrinsic.
-pub fn call_float_roundeven<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.roundeven";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.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(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.expect`](https://llvm.org/docs/LangRef.html#llvm-expect-intrinsic) intrinsic.
-pub fn call_expect<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: IntValue<'ctx>,
-    expected_val: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.expect";
-
-    debug_assert_eq!(val.get_type().get_bit_width(), expected_val.get_type().get_bit_width());
-
-    let llvm_int_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into(), expected_val.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/mod.rs

@@ -1,12 +1,12 @@
-use crate::{
-    codegen::classes::{ListType, NDArrayType, ProxyType, RangeType},
-    symbol_resolver::{StaticValue, SymbolResolver},
-    toplevel::{helper::PrimDef, numpy::unpack_ndarray_var_tys, TopLevelContext, TopLevelDef},
-    typecheck::{
-        type_inferencer::{CodeLocation, PrimitiveStore},
-        typedef::{CallId, FuncArg, Type, TypeEnum, Unifier},
+use std::{
+    collections::{HashMap, HashSet},
+    sync::{
+        atomic::{AtomicBool, Ordering},
+        Arc,
     },
+    thread,
 };
+
 use crossbeam::channel::{unbounded, Receiver, Sender};
 use inkwell::{
     attributes::{Attribute, AttributeLoc},
@@ -24,14 +24,19 @@ use inkwell::{
     AddressSpace, IntPredicate, OptimizationLevel,
 };
 use itertools::Itertools;
-use nac3parser::ast::{Location, Stmt, StrRef};
 use parking_lot::{Condvar, Mutex};
-use std::collections::{HashMap, HashSet};
-use std::sync::{
-    atomic::{AtomicBool, Ordering},
-    Arc,
+
+use nac3parser::ast::{Location, Stmt, StrRef};
+
+use crate::{
+    codegen::classes::{ListType, NDArrayType, ProxyType, RangeType},
+    symbol_resolver::{StaticValue, SymbolResolver},
+    toplevel::{helper::PrimDef, numpy::unpack_ndarray_var_tys, TopLevelContext, TopLevelDef},
+    typecheck::{
+        type_inferencer::{CodeLocation, PrimitiveStore},
+        typedef::{CallId, FuncArg, Type, TypeEnum, Unifier},
+    },
 };
-use std::thread;
 
 pub mod builtin_fns;
 pub mod classes;
@@ -50,6 +55,22 @@ mod test;
 use concrete_type::{ConcreteType, ConcreteTypeEnum, ConcreteTypeStore};
 pub use generator::{CodeGenerator, DefaultCodeGenerator};
 
+mod macros {
+    /// Codegen-variant of [`std::unreachable`] which accepts an instance of [`CodeGenContext`] as
+    /// its first argument to provide Python source information to indicate the codegen location
+    /// causing the assertion.
+    macro_rules! codegen_unreachable {
+        ($ctx:expr $(,)?) => {
+            std::unreachable!("unreachable code while processing {}", &$ctx.current_loc)
+        };
+        ($ctx:expr, $($arg:tt)*) => {
+            std::unreachable!("unreachable code while processing {}: {}", &$ctx.current_loc, std::format!("{}", std::format_args!($($arg)+)))
+        };
+    }
+
+    pub(crate) use codegen_unreachable;
+}
+
 #[derive(Default)]
 pub struct StaticValueStore {
     pub lookup: HashMap<Vec<(usize, u64)>, usize>,
@@ -68,6 +89,16 @@ pub struct CodeGenLLVMOptions {
     pub target: CodeGenTargetMachineOptions,
 }
 
+impl CodeGenLLVMOptions {
+    /// Creates a [`TargetMachine`] using the target options specified by this struct.
+    ///
+    /// See [`Target::create_target_machine`].
+    #[must_use]
+    pub fn create_target_machine(&self) -> Option<TargetMachine> {
+        self.target.create_target_machine(self.opt_level)
+    }
+}
+
 /// Additional options for code generation for the target machine.
 #[derive(Clone, Debug, Eq, PartialEq)]
 pub struct CodeGenTargetMachineOptions {
@@ -338,6 +369,10 @@ impl WorkerRegistry {
         let mut builder = context.create_builder();
         let mut module = context.create_module(generator.get_name());
 
+        let target_machine = self.llvm_options.create_target_machine().unwrap();
+        module.set_data_layout(&target_machine.get_target_data().get_data_layout());
+        module.set_triple(&target_machine.get_triple());
+
         module.add_basic_value_flag(
             "Debug Info Version",
             inkwell::module::FlagBehavior::Warning,
@@ -361,6 +396,10 @@ impl WorkerRegistry {
                     errors.insert(e);
                     // create a new empty module just to continue codegen and collect errors
                     module = context.create_module(&format!("{}_recover", generator.get_name()));
+
+                    let target_machine = self.llvm_options.create_target_machine().unwrap();
+                    module.set_data_layout(&target_machine.get_target_data().get_data_layout());
+                    module.set_triple(&target_machine.get_triple());
                 }
             }
             *self.task_count.lock() -= 1;
@@ -426,7 +465,7 @@ pub struct CodeGenTask {
 fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
     ctx: &'ctx Context,
     module: &Module<'ctx>,
-    generator: &mut G,
+    generator: &G,
     unifier: &mut Unifier,
     top_level: &TopLevelContext,
     type_cache: &mut HashMap<Type, BasicTypeEnum<'ctx>>,
@@ -456,6 +495,20 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                             .into()
                         }
 
+                        TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+                            let element_type = get_llvm_type(
+                                ctx,
+                                module,
+                                generator,
+                                unifier,
+                                top_level,
+                                type_cache,
+                                *params.iter().next().unwrap().1,
+                            );
+
+                            ListType::new(generator, ctx, element_type).as_base_type().into()
+                        }
+
                         TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
                             let (dtype, _) = unpack_ndarray_var_tys(unifier, ty);
                             let element_type = get_llvm_type(
@@ -506,8 +559,10 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                 };
                 return ty;
             }
-            TTuple { ty } => {
+            TTuple { ty, is_vararg_ctx } => {
                 // a struct with fields in the order present in the tuple
+                assert!(!is_vararg_ctx, "Tuples in vararg context must be instantiated with the correct number of arguments before calling get_llvm_type");
+
                 let fields = ty
                     .iter()
                     .map(|ty| {
@@ -516,12 +571,6 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                     .collect_vec();
                 ctx.struct_type(&fields, false).into()
             }
-            TList { ty } => {
-                let element_type =
-                    get_llvm_type(ctx, module, generator, unifier, top_level, type_cache, *ty);
-
-                ListType::new(generator, ctx, element_type).as_base_type().into()
-            }
             TVirtual { .. } => unimplemented!(),
             _ => unreachable!("{}", ty_enum.get_type_name()),
         };
@@ -543,7 +592,7 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
 fn get_llvm_abi_type<'ctx, G: CodeGenerator + ?Sized>(
     ctx: &'ctx Context,
     module: &Module<'ctx>,
-    generator: &mut G,
+    generator: &G,
     unifier: &mut Unifier,
     top_level: &TopLevelContext,
     type_cache: &mut HashMap<Type, BasicTypeEnum<'ctx>>,
@@ -552,11 +601,11 @@ fn get_llvm_abi_type<'ctx, G: CodeGenerator + ?Sized>(
 ) -> BasicTypeEnum<'ctx> {
     // If the type is used in the definition of a function, return `i1` instead of `i8` for ABI
     // consistency.
-    return if unifier.unioned(ty, primitives.bool) {
+    if unifier.unioned(ty, primitives.bool) {
         ctx.bool_type().into()
     } else {
         get_llvm_type(ctx, module, generator, unifier, top_level, type_cache, ty)
-    };
+    }
 }
 
 /// Whether `sret` is needed for a return value with type `ty`.
@@ -581,6 +630,40 @@ fn need_sret(ty: BasicTypeEnum) -> bool {
     need_sret_impl(ty, true)
 }
 
+/// Returns the [`BasicTypeEnum`] representing a `va_list` struct for variadic arguments.
+fn get_llvm_valist_type<'ctx>(ctx: &'ctx Context, triple: &TargetTriple) -> BasicTypeEnum<'ctx> {
+    let triple = TargetMachine::normalize_triple(triple);
+    let triple = triple.as_str().to_str().unwrap();
+    let arch = triple.split('-').next().unwrap();
+
+    let llvm_pi8 = ctx.i8_type().ptr_type(AddressSpace::default());
+
+    // Referenced from parseArch() in llvm/lib/Support/Triple.cpp
+    match arch {
+        "i386" | "i486" | "i586" | "i686" | "riscv32" => {
+            ctx.i8_type().ptr_type(AddressSpace::default()).into()
+        }
+        "amd64" | "x86_64" | "x86_64h" => {
+            let llvm_i32 = ctx.i32_type();
+
+            let va_list_tag = ctx.opaque_struct_type("struct.__va_list_tag");
+            va_list_tag.set_body(
+                &[llvm_i32.into(), llvm_i32.into(), llvm_pi8.into(), llvm_pi8.into()],
+                false,
+            );
+            va_list_tag.into()
+        }
+        "armv7" => {
+            let va_list = ctx.opaque_struct_type("struct.__va_list");
+            va_list.set_body(&[llvm_pi8.into()], false);
+            va_list.into()
+        }
+        triple => {
+            todo!("Unsupported platform for varargs: {triple}")
+        }
+    }
+}
+
 /// Implementation for generating LLVM IR for a function.
 pub fn gen_func_impl<
     'ctx,
@@ -692,6 +775,7 @@ pub fn gen_func_impl<
                 name: arg.name,
                 ty: task.store.to_unifier_type(&mut unifier, &primitives, arg.ty, &mut cache),
                 default_value: arg.default_value.clone(),
+                is_vararg: arg.is_vararg,
             })
             .collect_vec(),
         task.store.to_unifier_type(&mut unifier, &primitives, *ret, &mut cache),
@@ -714,7 +798,10 @@ pub fn gen_func_impl<
     let has_sret = ret_type.map_or(false, |ty| need_sret(ty));
     let mut params = args
         .iter()
+        .filter(|arg| !arg.is_vararg)
         .map(|arg| {
+            debug_assert!(!arg.is_vararg);
+
             get_llvm_abi_type(
                 context,
                 &module,
@@ -733,9 +820,12 @@ pub fn gen_func_impl<
         params.insert(0, ret_type.unwrap().ptr_type(AddressSpace::default()).into());
     }
 
+    debug_assert!(matches!(args.iter().filter(|arg| arg.is_vararg).count(), 0..=1));
+    let vararg_arg = args.iter().find(|arg| arg.is_vararg);
+
     let fn_type = match ret_type {
-        Some(ret_type) if !has_sret => ret_type.fn_type(&params, false),
-        _ => context.void_type().fn_type(&params, false),
+        Some(ret_type) if !has_sret => ret_type.fn_type(&params, vararg_arg.is_some()),
+        _ => context.void_type().fn_type(&params, vararg_arg.is_some()),
     };
 
     let symbol = &task.symbol_name;
@@ -763,9 +853,10 @@ pub fn gen_func_impl<
     builder.position_at_end(init_bb);
     let body_bb = context.append_basic_block(fn_val, "body");
 
+    // Store non-vararg argument values into local variables
     let mut var_assignment = HashMap::new();
     let offset = u32::from(has_sret);
-    for (n, arg) in args.iter().enumerate() {
+    for (n, arg) in args.iter().enumerate().filter(|(_, arg)| !arg.is_vararg) {
         let param = fn_val.get_nth_param((n as u32) + offset).unwrap();
         let local_type = get_llvm_type(
             context,
@@ -798,6 +889,8 @@ pub fn gen_func_impl<
         var_assignment.insert(arg.name, (alloca, None, 0));
     }
 
+    // TODO: Save vararg parameters as list
+
     let return_buffer = if has_sret {
         Some(fn_val.get_nth_param(0).unwrap().into_pointer_value())
     } else {
@@ -1020,3 +1113,9 @@ fn gen_in_range_check<'ctx>(
 
     ctx.builder.build_int_compare(IntPredicate::SLT, lo, hi, "cmp").unwrap()
 }
+
+/// Returns the internal name for the `va_count` argument, used to indicate the number of arguments
+/// passed to the variadic function.
+fn get_va_count_arg_name(arg_name: StrRef) -> StrRef {
+    format!("__{}_va_count", &arg_name).into()
+}

nac3core/src/codegen/test.rs

@@ -1,3 +1,20 @@
+use std::{
+    collections::{HashMap, HashSet},
+    sync::Arc,
+};
+
+use indexmap::IndexMap;
+use indoc::indoc;
+use inkwell::{
+    targets::{InitializationConfig, Target},
+    OptimizationLevel,
+};
+use nac3parser::{
+    ast::{fold::Fold, FileName, StrRef},
+    parser::parse_program,
+};
+use parking_lot::RwLock;
+
 use crate::{
     codegen::{
         classes::{ListType, NDArrayType, ProxyType, RangeType},
@@ -11,24 +28,10 @@ use crate::{
         DefinitionId, FunInstance, TopLevelContext, TopLevelDef,
     },
     typecheck::{
-        type_inferencer::{FunctionData, Inferencer, PrimitiveStore},
+        type_inferencer::{FunctionData, IdentifierInfo, Inferencer, PrimitiveStore},
         typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier, VarMap},
     },
 };
-use indexmap::IndexMap;
-use indoc::indoc;
-use inkwell::{
-    targets::{InitializationConfig, Target},
-    OptimizationLevel,
-};
-use nac3parser::ast::FileName;
-use nac3parser::{
-    ast::{fold::Fold, StrRef},
-    parser::parse_program,
-};
-use parking_lot::RwLock;
-use std::collections::{HashMap, HashSet};
-use std::sync::Arc;
 
 struct Resolver {
     id_to_type: HashMap<StrRef, Type>,
@@ -64,6 +67,7 @@ impl SymbolResolver for Resolver {
         &self,
         _: StrRef,
         _: &mut CodeGenContext<'ctx, '_>,
+        _: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
         unimplemented!()
     }
@@ -94,7 +98,7 @@ fn test_primitives() {
         "};
     let statements = parse_program(source, FileName::default()).unwrap();
 
-    let composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 32).0;
+    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());
@@ -109,8 +113,18 @@ fn test_primitives() {
     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: VarMap::new(),
@@ -128,7 +142,8 @@ fn test_primitives() {
     };
     let mut virtual_checks = Vec::new();
     let mut calls = HashMap::new();
-    let mut identifiers: HashSet<_> = ["a".into(), "b".into()].into();
+    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,
@@ -189,6 +204,8 @@ 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\"
 
             ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
             define i32 @testing(i32 %0, i32 %1) local_unnamed_addr #0 !dbg !4 {
@@ -246,14 +263,19 @@ fn test_simple_call() {
         "};
     let statements_2 = parse_program(source_2, FileName::default()).unwrap();
 
-    let composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 32).0;
+    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: VarMap::new(),
     };
@@ -300,7 +322,8 @@ fn test_simple_call() {
     };
     let mut virtual_checks = Vec::new();
     let mut calls = HashMap::new();
-    let mut identifiers: HashSet<_> = ["a".into(), "foo".into()].into();
+    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,
@@ -368,6 +391,8 @@ 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\"
 
             ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
             define i32 @testing(i32 %0) local_unnamed_addr #0 !dbg !5 {

nac3core/src/lib.rs

@@ -19,6 +19,10 @@
     clippy::wildcard_imports
 )]
 
+// users of nac3core need to use the same version of these dependencies, so expose them as nac3core::*
+pub use inkwell;
+pub use nac3parser;
+
 pub mod codegen;
 pub mod symbol_resolver;
 pub mod toplevel;

nac3core/src/symbol_resolver.rs

@@ -1,7 +1,15 @@
-use std::fmt::Debug;
-use std::rc::Rc;
-use std::sync::Arc;
-use std::{collections::HashMap, collections::HashSet, fmt::Display};
+use std::{
+    collections::{HashMap, HashSet},
+    fmt::{Debug, Display},
+    rc::Rc,
+    sync::Arc,
+};
+
+use inkwell::values::{BasicValueEnum, FloatValue, IntValue, PointerValue, StructValue};
+use itertools::{chain, izip, Itertools};
+use parking_lot::RwLock;
+
+use nac3parser::ast::{Constant, Expr, Location, StrRef};
 
 use crate::{
     codegen::{CodeGenContext, CodeGenerator},
@@ -11,10 +19,6 @@ use crate::{
         typedef::{Type, TypeEnum, Unifier, VarMap},
     },
 };
-use inkwell::values::{BasicValueEnum, FloatValue, IntValue, PointerValue, StructValue};
-use itertools::{chain, izip, Itertools};
-use nac3parser::ast::{Constant, Expr, Location, StrRef};
-use parking_lot::RwLock;
 
 #[derive(Clone, PartialEq, Debug)]
 pub enum SymbolValue {
@@ -78,14 +82,14 @@ impl SymbolValue {
             }
             Constant::Tuple(t) => {
                 let expected_ty = unifier.get_ty(expected_ty);
-                let TypeEnum::TTuple { ty } = expected_ty.as_ref() else {
+                let TypeEnum::TTuple { ty, is_vararg_ctx } = expected_ty.as_ref() else {
                     return Err(format!(
                         "Expected {:?}, but got Tuple",
                         expected_ty.get_type_name()
                     ));
                 };
 
-                assert_eq!(ty.len(), t.len());
+                assert!(*is_vararg_ctx || ty.len() == t.len());
 
                 let elems = t
                     .iter()
@@ -155,7 +159,7 @@ impl SymbolValue {
             SymbolValue::Bool(_) => primitives.bool,
             SymbolValue::Tuple(vs) => {
                 let vs_tys = vs.iter().map(|v| v.get_type(primitives, unifier)).collect::<Vec<_>>();
-                unifier.add_ty(TypeEnum::TTuple { ty: vs_tys })
+                unifier.add_ty(TypeEnum::TTuple { ty: vs_tys, is_vararg_ctx: false })
             }
             SymbolValue::OptionSome(_) | SymbolValue::OptionNone => primitives.option,
         }
@@ -365,6 +369,7 @@ pub trait SymbolResolver {
         &self,
         str: StrRef,
         ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>>;
 
     fn get_default_param_value(&self, expr: &Expr) -> Option<SymbolValue>;
@@ -382,13 +387,12 @@ pub trait SymbolResolver {
 }
 
 thread_local! {
-    static IDENTIFIER_ID: [StrRef; 12] = [
+    static IDENTIFIER_ID: [StrRef; 11] = [
         "int32".into(),
         "int64".into(),
         "float".into(),
         "bool".into(),
         "virtual".into(),
-        "list".into(),
         "tuple".into(),
         "str".into(),
         "Exception".into(),
@@ -413,13 +417,12 @@ pub fn parse_type_annotation<T>(
     let float_id = ids[2];
     let bool_id = ids[3];
     let virtual_id = ids[4];
-    let list_id = ids[5];
-    let tuple_id = ids[6];
-    let str_id = ids[7];
-    let exn_id = ids[8];
-    let uint32_id = ids[9];
-    let uint64_id = ids[10];
-    let literal_id = ids[11];
+    let tuple_id = ids[5];
+    let str_id = ids[6];
+    let exn_id = ids[7];
+    let uint32_id = ids[8];
+    let uint64_id = ids[9];
+    let literal_id = ids[10];
 
     let name_handling = |id: &StrRef, loc: Location, unifier: &mut Unifier| {
         if *id == int32_id {
@@ -476,9 +479,6 @@ pub fn parse_type_annotation<T>(
         if *id == virtual_id {
             let ty = parse_type_annotation(resolver, top_level_defs, unifier, primitives, slice)?;
             Ok(unifier.add_ty(TypeEnum::TVirtual { ty }))
-        } else if *id == list_id {
-            let ty = parse_type_annotation(resolver, top_level_defs, unifier, primitives, slice)?;
-            Ok(unifier.add_ty(TypeEnum::TList { ty }))
         } else if *id == tuple_id {
             if let Tuple { elts, .. } = &slice.node {
                 let ty = elts
@@ -487,7 +487,7 @@ pub fn parse_type_annotation<T>(
                         parse_type_annotation(resolver, top_level_defs, unifier, primitives, elt)
                     })
                     .collect::<Result<Vec<_>, _>>()?;
-                Ok(unifier.add_ty(TypeEnum::TTuple { ty }))
+                Ok(unifier.add_ty(TypeEnum::TTuple { ty, is_vararg_ctx: false }))
             } else {
                 Err(HashSet::from(["Expected multiple elements for tuple".into()]))
             }

nac3core/src/toplevel/composer.rs

@@ -1,17 +1,17 @@
-use nac3parser::ast::fold::Fold;
 use std::rc::Rc;
 
+use nac3parser::ast::{fold::Fold, ExprKind};
+
+use super::*;
 use crate::{
     codegen::{expr::get_subst_key, stmt::exn_constructor},
     symbol_resolver::SymbolValue,
     typecheck::{
-        type_inferencer::{FunctionData, Inferencer},
+        type_inferencer::{FunctionData, IdentifierInfo, Inferencer},
         typedef::{TypeVar, VarMap},
     },
 };
 
-use super::*;
-
 pub struct ComposerConfig {
     pub kernel_ann: Option<&'static str>,
     pub kernel_invariant_ann: &'static str,
@@ -23,7 +23,7 @@ impl Default for ComposerConfig {
     }
 }
 
-type DefAst = (Arc<RwLock<TopLevelDef>>, Option<Stmt<()>>);
+pub type DefAst = (Arc<RwLock<TopLevelDef>>, Option<Stmt<()>>);
 pub struct TopLevelComposer {
     // list of top level definitions, same as top level context
     pub definition_ast_list: Vec<DefAst>,
@@ -44,12 +44,27 @@ pub struct TopLevelComposer {
     pub size_t: u32,
 }
 
+/// The specification for a builtin function, consisting of the function name, the function
+/// signature, and a [code generation callback][`GenCall`].
+pub type BuiltinFuncSpec = (StrRef, FunSignature, Arc<GenCall>);
+
+/// A function that creates a [`BuiltinFuncSpec`] using the provided [`PrimitiveStore`] and
+/// [`Unifier`].
+pub type BuiltinFuncCreator = dyn Fn(&PrimitiveStore, &mut Unifier) -> BuiltinFuncSpec;
+
 impl TopLevelComposer {
     /// return a composer and things to make a "primitive" symbol resolver, so that the symbol
-    /// resolver can later figure out primitive type definitions when passed a primitive type name
+    /// resolver can later figure out primitive tye definitions when passed a primitive type name
+    ///
+    /// `lateinit_builtins` are specifically for the ARTIQ module. Since the [`Unifier`] instance
+    /// used to create builtin functions do not persist until method compilation, any types
+    /// created (e.g. [`TypeEnum::TVar`]) also do not persist. Those functions should be instead put
+    /// in `lateinit_builtins`, where they will be instantiated with the [`Unifier`] instance used
+    /// for method compilation.
     #[must_use]
     pub fn new(
-        builtins: Vec<(StrRef, FunSignature, Arc<GenCall>)>,
+        builtins: Vec<BuiltinFuncSpec>,
+        lateinit_builtins: Vec<Box<BuiltinFuncCreator>>,
         core_config: ComposerConfig,
         size_t: u32,
     ) -> (Self, HashMap<StrRef, DefinitionId>, HashMap<StrRef, Type>) {
@@ -86,7 +101,8 @@ impl TopLevelComposer {
             .iter()
             .map(|def_ast| match *def_ast.0.read() {
                 TopLevelDef::Class { name, .. } => name.to_string(),
-                TopLevelDef::Function { simple_name, .. } => simple_name.to_string(),
+                TopLevelDef::Function { simple_name, .. }
+                | TopLevelDef::Variable { simple_name, .. } => simple_name.to_string(),
             })
             .collect_vec();
 
@@ -119,7 +135,13 @@ impl TopLevelComposer {
             }
         }
 
-        for (name, sig, codegen_callback) in builtins {
+        // Materialize lateinit_builtins, now that the unifier is ready
+        let lateinit_builtins = lateinit_builtins
+            .into_iter()
+            .map(|builtin| builtin(&primitives_ty, &mut unifier))
+            .collect_vec();
+
+        for (name, sig, codegen_callback) in builtins.into_iter().chain(lateinit_builtins) {
             let fun_sig = unifier.add_ty(TypeEnum::TFunc(sig));
             builtin_ty.insert(name, fun_sig);
             builtin_id.insert(name, DefinitionId(definition_ast_list.len()));
@@ -360,8 +382,58 @@ impl TopLevelComposer {
                 ))
             }
 
+            ast::StmtKind::AnnAssign { target, annotation, .. } => {
+                let ExprKind::Name { id: name, .. } = target.node else {
+                    return Err(format!(
+                        "global variable declaration must be an identifier (at {})",
+                        ast.location
+                    ));
+                };
+
+                if self.keyword_list.contains(&name) {
+                    return Err(format!(
+                        "cannot use keyword `{}` as a class name (at {})",
+                        name,
+                        ast.location
+                    ));
+                }
+
+                let global_var_name = if mod_path.is_empty() {
+                    name.to_string()
+                } else {
+                    format!("{mod_path}.{name}")
+                };
+                if !defined_names.insert(global_var_name.clone()) {
+                    return Err(format!(
+                        "global variable `{}` defined twice (at {})",
+                        global_var_name,
+                        ast.location
+                    ));
+                }
+
+                let ty_to_be_unified = self.unifier.get_dummy_var().ty;
+                self.definition_ast_list.push((
+                    RwLock::new(Self::make_top_level_variable_def(
+                        global_var_name,
+                        name,
+                        // dummy here, unify with correct type later,
+                        ty_to_be_unified,
+                        *(annotation.clone()),
+                        resolver,
+                        Some(ast.location),
+                    )).into(),
+                    None,
+                ));
+
+                Ok((
+                    name,
+                    DefinitionId(self.definition_ast_list.len() - 1),
+                    Some(ty_to_be_unified),
+                ))
+            }
+
             _ => Err(format!(
-                "registrations of constructs other than top level classes/functions are not supported (at {})",
+                "registrations of constructs other than top level classes/functions/variables are not supported (at {})",
                 ast.location
             )),
         }
@@ -375,6 +447,7 @@ impl TopLevelComposer {
         if inference {
             self.analyze_function_instance()?;
         }
+        self.analyze_top_level_variables()?;
         Ok(())
     }
 
@@ -479,6 +552,7 @@ impl TopLevelComposer {
             }
             Ok(())
         };
+
         let mut errors = HashSet::new();
         for (class_def, class_ast) in def_list.iter().skip(self.builtin_num) {
             if class_ast.is_none() {
@@ -766,6 +840,7 @@ impl TopLevelComposer {
             let target_ty = get_type_from_type_annotation_kinds(
                 &temp_def_list,
                 unifier,
+                primitives,
                 &def,
                 &mut subst_list,
             )?;
@@ -831,7 +906,6 @@ impl TopLevelComposer {
         let unifier = self.unifier.borrow_mut();
         let primitives_store = &self.primitives_ty;
 
-        let mut errors = HashSet::new();
         let mut analyze = |function_def: &Arc<RwLock<TopLevelDef>>, function_ast: &Option<Stmt>| {
             let mut function_def = function_def.write();
             let function_def = &mut *function_def;
@@ -859,7 +933,73 @@ impl TopLevelComposer {
             let resolver = &**resolver;
 
             let mut function_var_map = VarMap::new();
-            let arg_types = {
+
+            let vararg = args
+                .vararg
+                .as_ref()
+                .map(|vararg| -> Result<_, HashSet<String>> {
+                    let vararg = vararg.as_ref();
+
+                    let annotation = vararg
+                        .node
+                        .annotation
+                        .as_ref()
+                        .ok_or_else(|| {
+                            HashSet::from([format!(
+                                "function parameter `{}` needs type annotation at {}",
+                                vararg.node.arg, vararg.location
+                            )])
+                        })?
+                        .as_ref();
+
+                    let type_annotation = parse_ast_to_type_annotation_kinds(
+                        resolver,
+                        temp_def_list.as_slice(),
+                        unifier,
+                        primitives_store,
+                        annotation,
+                        // NOTE: since only class need this, for function
+                        // it should be fine to be empty map
+                        HashMap::new(),
+                    )?;
+
+                    let type_vars_within =
+                        get_type_var_contained_in_type_annotation(&type_annotation)
+                            .into_iter()
+                            .map(|x| -> Result<TypeVar, HashSet<String>> {
+                                let TypeAnnotation::TypeVar(ty) = x else {
+                                    unreachable!("must be type var annotation kind")
+                                };
+
+                                let id = Self::get_var_id(ty, unifier)?;
+                                Ok(TypeVar { id, ty })
+                            })
+                            .collect::<Result<Vec<_>, _>>()?;
+                    for var in type_vars_within {
+                        if let Some(prev_ty) = function_var_map.insert(var.id, var.ty) {
+                            // if already have the type inserted, make sure they are the same thing
+                            assert_eq!(prev_ty, var.ty);
+                        }
+                    }
+
+                    let ty = get_type_from_type_annotation_kinds(
+                        temp_def_list.as_ref(),
+                        unifier,
+                        primitives_store,
+                        &type_annotation,
+                        &mut None,
+                    )?;
+
+                    Ok(FuncArg {
+                        name: vararg.node.arg,
+                        ty,
+                        default_value: Some(SymbolValue::Tuple(Vec::default())),
+                        is_vararg: true,
+                    })
+                })
+                .transpose()?;
+
+            let mut arg_types = {
                 // make sure no duplicate parameter
                 let mut defined_parameter_name: HashSet<_> = HashSet::new();
                 for x in &args.args {
@@ -936,6 +1076,7 @@ impl TopLevelComposer {
                         let ty = get_type_from_type_annotation_kinds(
                             temp_def_list.as_ref(),
                             unifier,
+                            primitives_store,
                             &type_annotation,
                             &mut None,
                         )?;
@@ -959,11 +1100,18 @@ impl TopLevelComposer {
                                     v
                                 }),
                             },
+                            is_vararg: false,
                         })
                     })
                     .collect::<Result<Vec<_>, _>>()?
             };
 
+            if let Some(vararg) = vararg {
+                arg_types.push(vararg);
+            };
+
+            let arg_types = arg_types;
+
             let return_ty = {
                 if let Some(returns) = returns {
                     let return_ty_annotation = {
@@ -1002,6 +1150,7 @@ impl TopLevelComposer {
                     get_type_from_type_annotation_kinds(
                         &temp_def_list,
                         unifier,
+                        primitives_store,
                         &return_ty_annotation,
                         &mut None,
                     )?
@@ -1031,6 +1180,8 @@ impl TopLevelComposer {
             })?;
             Ok(())
         };
+
+        let mut errors = HashSet::new();
         for (function_def, function_ast) in def_list.iter().skip(self.builtin_num) {
             if function_ast.is_none() {
                 continue;
@@ -1057,7 +1208,14 @@ impl TopLevelComposer {
         let (keyword_list, core_config) = core_info;
         let mut class_def = class_def.write();
         let TopLevelDef::Class {
-            object_id, ancestors, fields, methods, resolver, type_vars, ..
+            object_id,
+            ancestors,
+            fields,
+            attributes,
+            methods,
+            resolver,
+            type_vars,
+            ..
         } = &mut *class_def
         else {
             unreachable!("here must be toplevel class def");
@@ -1073,10 +1231,14 @@ impl TopLevelComposer {
             class_body_ast,
             _class_ancestor_def,
             class_fields_def,
+            class_attributes_def,
             class_methods_def,
             class_type_vars_def,
             class_resolver,
-        ) = (*object_id, *name, bases, body, ancestors, fields, methods, type_vars, resolver);
+        ) = (
+            *object_id, *name, bases, body, ancestors, fields, attributes, methods, type_vars,
+            resolver,
+        );
 
         let class_resolver = class_resolver.as_ref().unwrap();
         let class_resolver = class_resolver.as_ref();
@@ -1203,6 +1365,7 @@ impl TopLevelComposer {
                                             })
                                         }
                                     },
+                                    is_vararg: false,
                                 };
                                 // push the dummy type and the type annotation
                                 // into the list for later unification
@@ -1285,34 +1448,74 @@ impl TopLevelComposer {
                         .unify(method_dummy_ty, method_type)
                         .map_err(|e| HashSet::from([e.to_display(unifier).to_string()]))?;
                 }
-                ast::StmtKind::AnnAssign { target, annotation, value: None, .. } => {
+                ast::StmtKind::AnnAssign { target, annotation, value, .. } => {
                     if let ast::ExprKind::Name { id: attr, .. } = &target.node {
                         if defined_fields.insert(attr.to_string()) {
                             let dummy_field_type = unifier.get_dummy_var().ty;
 
-                            // handle Kernel[T], KernelInvariant[T]
-                            let (annotation, mutable) = match &annotation.node {
-                                ast::ExprKind::Subscript { value, slice, .. }
-                                    if matches!(
-                                        &value.node,
-                                        ast::ExprKind::Name { id, .. } if id == &core_config.kernel_invariant_ann.into()
-                                    ) =>
-                                {
-                                    (slice, false)
+                            let annotation = match value {
+                                None => {
+                                    // handle Kernel[T], KernelInvariant[T]
+                                    let (annotation, mutable) = match &annotation.node {
+                                        ast::ExprKind::Subscript { value, slice, .. }
+                                            if matches!(
+                                                &value.node,
+                                                ast::ExprKind::Name { id, .. } if id == &core_config.kernel_invariant_ann.into()
+                                            ) =>
+                                        {
+                                            (slice, false)
+                                        }
+                                        ast::ExprKind::Subscript { value, slice, .. }
+                                            if matches!(
+                                                &value.node,
+                                                ast::ExprKind::Name { id, .. } if core_config.kernel_ann.map_or(false, |c| id == &c.into())
+                                            ) =>
+                                        {
+                                            (slice, true)
+                                        }
+                                        _ if core_config.kernel_ann.is_none() => (annotation, true),
+                                        _ => continue, // ignore fields annotated otherwise
+                                    };
+                                    class_fields_def.push((*attr, dummy_field_type, mutable));
+                                    annotation
                                 }
-                                ast::ExprKind::Subscript { value, slice, .. }
-                                    if matches!(
-                                        &value.node,
-                                        ast::ExprKind::Name { id, .. } if core_config.kernel_ann.map_or(false, |c| id == &c.into())
-                                    ) =>
-                                {
-                                    (slice, true)
-                                }
-                                _ if core_config.kernel_ann.is_none() => (annotation, true),
-                                _ => continue, // ignore fields annotated otherwise
-                            };
-                            class_fields_def.push((*attr, dummy_field_type, mutable));
+                                // Supporting Class Attributes
+                                Some(boxed_expr) => {
+                                    // Class attributes are set as immutable regardless
+                                    let (annotation, _) = match &annotation.node {
+                                        ast::ExprKind::Subscript { slice, .. } => (slice, false),
+                                        _ if core_config.kernel_ann.is_none() => (annotation, false),
+                                        _ => continue,
+                                    };
 
+                                    match &**boxed_expr {
+                                        ast::Located {location: _, custom: (), node: ast::ExprKind::Constant { value: v, kind: _ }} => {
+                                            // Restricting the types allowed to be defined as class attributes
+                                            match v {
+                                                ast::Constant::Bool(_) | ast::Constant::Str(_) | ast::Constant::Int(_) | ast::Constant::Float(_) => {}
+                                                _ => {
+                                                        return Err(HashSet::from([
+                                                        format!(
+                                                            "unsupported statement in class definition body (at {})",
+                                                            b.location
+                                                        ),
+                                                    ]))
+                                                }
+                                            }
+                                            class_attributes_def.push((*attr, dummy_field_type, v.clone()));
+                                        }
+                                        _ => {
+                                            return Err(HashSet::from([
+                                                format!(
+                                                    "unsupported statement in class definition body (at {})",
+                                                    b.location
+                                                ),
+                                            ]))
+                                        }
+                                    }
+                                    annotation
+                                }
+                            };
                             let parsed_annotation = parse_ast_to_type_annotation_kinds(
                                 class_resolver,
                                 temp_def_list,
@@ -1384,7 +1587,14 @@ impl TopLevelComposer {
         type_var_to_concrete_def: &mut HashMap<Type, TypeAnnotation>,
     ) -> Result<(), HashSet<String>> {
         let TopLevelDef::Class {
-            object_id, ancestors, fields, methods, resolver, type_vars, ..
+            object_id,
+            ancestors,
+            fields,
+            attributes,
+            methods,
+            resolver,
+            type_vars,
+            ..
         } = class_def
         else {
             unreachable!("here must be class def ast")
@@ -1393,10 +1603,11 @@ impl TopLevelComposer {
             _class_id,
             class_ancestor_def,
             class_fields_def,
+            class_attribute_def,
             class_methods_def,
             _class_type_vars_def,
             _class_resolver,
-        ) = (*object_id, ancestors, fields, methods, type_vars, resolver);
+        ) = (*object_id, ancestors, fields, attributes, methods, type_vars, resolver);
 
         // since when this function is called, the ancestors of the direct parent
         // are supposed to be already handled, so we only need to deal with the direct parent
@@ -1407,7 +1618,7 @@ impl TopLevelComposer {
 
         let base = temp_def_list.get(id.0).unwrap();
         let base = base.read();
-        let TopLevelDef::Class { methods, fields, .. } = &*base else {
+        let TopLevelDef::Class { methods, fields, attributes, .. } = &*base else {
             unreachable!("must be top level class def")
         };
 
@@ -1449,7 +1660,7 @@ impl TopLevelComposer {
             }
         }
         // use the new_child_methods to replace all the elements in `class_methods_def`
-        class_methods_def.drain(..);
+        class_methods_def.clear();
         class_methods_def.extend(new_child_methods);
 
         // handle class fields
@@ -1459,7 +1670,9 @@ impl TopLevelComposer {
             let to_be_added = (*anc_field_name, *anc_field_ty, *mutable);
             // find if there is a fields with the same name in the child class
             for (class_field_name, ..) in &*class_fields_def {
-                if class_field_name == anc_field_name {
+                if class_field_name == anc_field_name
+                    || attributes.iter().any(|f| f.0 == *class_field_name)
+                {
                     return Err(HashSet::from([format!(
                         "field `{class_field_name}` has already declared in the ancestor classes"
                     )]));
@@ -1467,14 +1680,33 @@ impl TopLevelComposer {
             }
             new_child_fields.push(to_be_added);
         }
+
+        // handle class attributes
+        let mut new_child_attributes: Vec<(StrRef, Type, ast::Constant)> = Vec::new();
+        for (anc_attr_name, anc_attr_ty, attr_value) in attributes {
+            let to_be_added = (*anc_attr_name, *anc_attr_ty, attr_value.clone());
+            // find if there is a attribute with the same name in the child class
+            for (class_attr_name, ..) in &*class_attribute_def {
+                if class_attr_name == anc_attr_name
+                    || fields.iter().any(|f| f.0 == *class_attr_name)
+                {
+                    return Err(HashSet::from([format!(
+                        "attribute `{class_attr_name}` has already declared in the ancestor classes"
+                    )]));
+                }
+            }
+            new_child_attributes.push(to_be_added);
+        }
+
         for (class_field_name, class_field_ty, mutable) in &*class_fields_def {
             if !is_override.contains(class_field_name) {
                 new_child_fields.push((*class_field_name, *class_field_ty, *mutable));
             }
         }
-        class_fields_def.drain(..);
+        class_fields_def.clear();
         class_fields_def.extend(new_child_fields);
-
+        class_attribute_def.clear();
+        class_attribute_def.extend(new_child_attributes);
         Ok(())
     }
 
@@ -1524,7 +1756,6 @@ impl TopLevelComposer {
             }
         }
 
-        let mut errors = HashSet::new();
         let mut analyze = |i, def: &Arc<RwLock<TopLevelDef>>, ast: &Option<Stmt>| {
             let class_def = def.read();
             if let TopLevelDef::Class {
@@ -1542,6 +1773,7 @@ impl TopLevelComposer {
                 let self_type = get_type_from_type_annotation_kinds(
                     &def_list,
                     unifier,
+                    primitives_ty,
                     &make_self_type_annotation(type_vars, *object_id),
                     &mut None,
                 )?;
@@ -1558,21 +1790,25 @@ impl TopLevelComposer {
                                 name: "msg".into(),
                                 ty: string,
                                 default_value: Some(SymbolValue::Str(String::new())),
+                                is_vararg: false,
                             },
                             FuncArg {
                                 name: "param0".into(),
                                 ty: int64,
                                 default_value: Some(SymbolValue::I64(0)),
+                                is_vararg: false,
                             },
                             FuncArg {
                                 name: "param1".into(),
                                 ty: int64,
                                 default_value: Some(SymbolValue::I64(0)),
+                                is_vararg: false,
                             },
                             FuncArg {
                                 name: "param2".into(),
                                 ty: int64,
                                 default_value: Some(SymbolValue::I64(0)),
+                                is_vararg: false,
                             },
                         ],
                         ret: self_type,
@@ -1639,7 +1875,12 @@ impl TopLevelComposer {
                         if *name != init_str_id {
                             unreachable!("must be init function here")
                         }
-                        let all_inited = Self::get_all_assigned_field(body.as_slice())?;
+
+                        let all_inited = Self::get_all_assigned_field(
+                            object_id.0,
+                            definition_ast_list,
+                            body.as_slice(),
+                        )?;
                         for (f, _, _) in fields {
                             if !all_inited.contains(f) {
                                 return Err(HashSet::from([
@@ -1657,6 +1898,8 @@ impl TopLevelComposer {
             }
             Ok(())
         };
+
+        let mut errors = HashSet::new();
         for (i, (def, ast)) in definition_ast_list.iter().enumerate().skip(self.builtin_num) {
             if ast.is_none() {
                 continue;
@@ -1706,7 +1949,8 @@ impl TopLevelComposer {
             } = &mut *function_def
             {
                 let signature_ty_enum = unifier.get_ty(*signature);
-                let TypeEnum::TFunc(FunSignature { args, ret, vars }) = signature_ty_enum.as_ref()
+                let TypeEnum::TFunc(FunSignature { args, ret, vars, .. }) =
+                    signature_ty_enum.as_ref()
                 else {
                     unreachable!("must be typeenum::tfunc")
                 };
@@ -1723,7 +1967,11 @@ impl TopLevelComposer {
 
                         let ty_ann = make_self_type_annotation(type_vars, *class_id);
                         let self_ty = get_type_from_type_annotation_kinds(
-                            &def_list, unifier, &ty_ann, &mut None,
+                            &def_list,
+                            unifier,
+                            primitives_ty,
+                            &ty_ann,
+                            &mut None,
                         )?;
                         vars.extend(type_vars.iter().map(|ty| {
                             let TypeEnum::TVar { id, .. } = &*unifier.get_ty(*ty) else {
@@ -1778,6 +2026,7 @@ impl TopLevelComposer {
                                 name: a.name,
                                 ty: unifier.subst(a.ty, &subst).unwrap_or(a.ty),
                                 default_value: a.default_value.clone(),
+                                is_vararg: false,
                             })
                             .collect_vec()
                     };
@@ -1809,11 +2058,12 @@ impl TopLevelComposer {
                         })
                     };
                     let mut identifiers = {
-                        let mut result: HashSet<_> = HashSet::new();
+                        let mut result = HashMap::new();
                         if self_type.is_some() {
-                            result.insert("self".into());
+                            result.insert("self".into(), IdentifierInfo::default());
                         }
-                        result.extend(inst_args.iter().map(|x| x.name));
+                        result
+                            .extend(inst_args.iter().map(|x| (x.name, IdentifierInfo::default())));
                         result
                     };
                     let mut calls: HashMap<CodeLocation, CallId> = HashMap::new();
@@ -1864,6 +2114,16 @@ impl TopLevelComposer {
                         instance_to_symbol.insert(String::new(), simple_name.to_string());
                         continue;
                     }
+                    if !decorator_list.is_empty() {
+                        if let ast::ExprKind::Call { func, .. } = &decorator_list[0].node {
+                            if matches!(&func.node,
+                                ast::ExprKind::Name{ id, .. } if id == &"rpc".into())
+                            {
+                                instance_to_symbol.insert(String::new(), simple_name.to_string());
+                                continue;
+                            }
+                        }
+                    }
 
                     let fun_body = body
                         .into_iter()
@@ -1968,4 +2228,57 @@ impl TopLevelComposer {
         }
         Ok(())
     }
+
+    /// Step 6. Analyze and populate the types of global variables.
+    fn analyze_top_level_variables(&mut self) -> Result<(), HashSet<String>> {
+        let def_list = &self.definition_ast_list;
+        let temp_def_list = self.extract_def_list();
+        let unifier = &mut self.unifier;
+        let primitives_store = &self.primitives_ty;
+
+        let mut analyze = |variable_def: &Arc<RwLock<TopLevelDef>>| -> Result<_, HashSet<String>> {
+            let variable_def = &mut *variable_def.write();
+
+            let TopLevelDef::Variable { ty: dummy_ty, ty_decl, resolver, loc, .. } = variable_def
+            else {
+                // not top level variable def, skip
+                return Ok(());
+            };
+
+            let resolver = &**resolver.as_ref().unwrap();
+
+            let ty_annotation = parse_ast_to_type_annotation_kinds(
+                resolver,
+                &temp_def_list,
+                unifier,
+                primitives_store,
+                ty_decl,
+                HashMap::new(),
+            )?;
+            let ty_from_ty_annotation = get_type_from_type_annotation_kinds(
+                &temp_def_list,
+                unifier,
+                primitives_store,
+                &ty_annotation,
+                &mut None,
+            )?;
+
+            unifier.unify(*dummy_ty, ty_from_ty_annotation).map_err(|e| {
+                HashSet::from([e.at(Some(loc.unwrap())).to_display(unifier).to_string()])
+            })?;
+            Ok(())
+        };
+
+        let mut errors = HashSet::new();
+        for (variable_def, _) in def_list.iter().skip(self.builtin_num) {
+            if let Err(e) = analyze(variable_def) {
+                errors.extend(e);
+            }
+        }
+        if !errors.is_empty() {
+            return Err(errors);
+        }
+
+        Ok(())
+    }
 }

nac3core/src/toplevel/helper.rs

@@ -1,17 +1,22 @@
 use std::convert::TryInto;
 
-use crate::symbol_resolver::SymbolValue;
-use crate::toplevel::numpy::unpack_ndarray_var_tys;
-use crate::typecheck::typedef::{into_var_map, Mapping, TypeVarId, VarMap};
-use nac3parser::ast::{Constant, Location};
 use strum::IntoEnumIterator;
 use strum_macros::EnumIter;
 
+use ast::ExprKind;
+use nac3parser::ast::{Constant, Location};
+
 use super::*;
+use crate::{
+    symbol_resolver::SymbolValue,
+    toplevel::numpy::unpack_ndarray_var_tys,
+    typecheck::typedef::{into_var_map, iter_type_vars, Mapping, TypeVarId, VarMap},
+};
 
 /// All primitive types and functions in nac3core.
 #[derive(Clone, Copy, Debug, EnumIter, PartialEq, Eq)]
 pub enum PrimDef {
+    // Classes
     Int32,
     Int64,
     Float,
@@ -23,17 +28,25 @@ pub enum PrimDef {
     UInt32,
     UInt64,
     Option,
-    OptionIsSome,
-    OptionIsNone,
-    OptionUnwrap,
+    List,
     NDArray,
-    NDArrayCopy,
-    NDArrayFill,
-    FunInt32,
-    FunInt64,
-    FunUInt32,
-    FunUInt64,
-    FunFloat,
+
+    // Option methods
+    FunOptionIsSome,
+    FunOptionIsNone,
+    FunOptionUnwrap,
+
+    // Option-related functions
+    FunSome,
+
+    // NDArray methods
+    FunNDArrayCopy,
+    FunNDArrayFill,
+
+    // Range methods
+    FunRangeInit,
+
+    // NumPy factory functions
     FunNpNDArray,
     FunNpEmpty,
     FunNpZeros,
@@ -42,26 +55,17 @@ pub enum PrimDef {
     FunNpArray,
     FunNpEye,
     FunNpIdentity,
-    FunRound,
-    FunRound64,
+
+    // Miscellaneous NumPy & SciPy functions
     FunNpRound,
-    FunRange,
-    FunStr,
-    FunBool,
-    FunFloor,
-    FunFloor64,
     FunNpFloor,
-    FunCeil,
-    FunCeil64,
     FunNpCeil,
-    FunLen,
-    FunMin,
     FunNpMin,
     FunNpMinimum,
-    FunMax,
+    FunNpArgmin,
     FunNpMax,
     FunNpMaximum,
-    FunAbs,
+    FunNpArgmax,
     FunNpIsNan,
     FunNpIsInf,
     FunNpSin,
@@ -99,15 +103,46 @@ pub enum PrimDef {
     FunNpLdExp,
     FunNpHypot,
     FunNpNextAfter,
-    FunSome,
-    FunNpAny,
-    FunNpAll,
+    FunNpTranspose,
+    FunNpReshape,
+
+    // Linalg functions
+    FunNpDot,
+    FunNpLinalgCholesky,
+    FunNpLinalgQr,
+    FunNpLinalgSvd,
+    FunNpLinalgInv,
+    FunNpLinalgPinv,
+    FunNpLinalgMatrixPower,
+    FunNpLinalgDet,
+    FunSpLinalgLu,
+    FunSpLinalgSchur,
+    FunSpLinalgHessenberg,
+
+    // Miscellaneous Python & NAC3 functions
+    FunInt32,
+    FunInt64,
+    FunUInt32,
+    FunUInt64,
+    FunFloat,
+    FunRound,
+    FunRound64,
+    FunStr,
+    FunBool,
+    FunFloor,
+    FunFloor64,
+    FunCeil,
+    FunCeil64,
+    FunLen,
+    FunMin,
+    FunMax,
+    FunAbs,
 }
 
 /// Associated details of a [`PrimDef`]
 pub enum PrimDefDetails {
     PrimFunction { name: &'static str, simple_name: &'static str },
-    PrimClass { name: &'static str },
+    PrimClass { name: &'static str, get_ty_fn: fn(&PrimitiveStore) -> Type },
 }
 
 impl PrimDef {
@@ -149,15 +184,17 @@ impl PrimDef {
     #[must_use]
     pub fn name(&self) -> &'static str {
         match self.details() {
-            PrimDefDetails::PrimFunction { name, .. } | PrimDefDetails::PrimClass { name } => name,
+            PrimDefDetails::PrimFunction { name, .. } | PrimDefDetails::PrimClass { name, .. } => {
+                name
+            }
         }
     }
 
     /// Get the associated details of this [`PrimDef`]
     #[must_use]
     pub fn details(self) -> PrimDefDetails {
-        fn class(name: &'static str) -> PrimDefDetails {
-            PrimDefDetails::PrimClass { name }
+        fn class(name: &'static str, get_ty_fn: fn(&PrimitiveStore) -> Type) -> PrimDefDetails {
+            PrimDefDetails::PrimClass { name, get_ty_fn }
         }
 
         fn fun(name: &'static str, simple_name: Option<&'static str>) -> PrimDefDetails {
@@ -165,28 +202,37 @@ impl PrimDef {
         }
 
         match self {
-            PrimDef::Int32 => class("int32"),
-            PrimDef::Int64 => class("int64"),
-            PrimDef::Float => class("float"),
-            PrimDef::Bool => class("bool"),
-            PrimDef::None => class("none"),
-            PrimDef::Range => class("range"),
-            PrimDef::Str => class("str"),
-            PrimDef::Exception => class("Exception"),
-            PrimDef::UInt32 => class("uint32"),
-            PrimDef::UInt64 => class("uint64"),
-            PrimDef::Option => class("Option"),
-            PrimDef::OptionIsSome => fun("Option.is_some", Some("is_some")),
-            PrimDef::OptionIsNone => fun("Option.is_none", Some("is_none")),
-            PrimDef::OptionUnwrap => fun("Option.unwrap", Some("unwrap")),
-            PrimDef::NDArray => class("ndarray"),
-            PrimDef::NDArrayCopy => fun("ndarray.copy", Some("copy")),
-            PrimDef::NDArrayFill => fun("ndarray.fill", Some("fill")),
-            PrimDef::FunInt32 => fun("int32", None),
-            PrimDef::FunInt64 => fun("int64", None),
-            PrimDef::FunUInt32 => fun("uint32", None),
-            PrimDef::FunUInt64 => fun("uint64", None),
-            PrimDef::FunFloat => fun("float", None),
+            // Classes
+            PrimDef::Int32 => class("int32", |primitives| primitives.int32),
+            PrimDef::Int64 => class("int64", |primitives| primitives.int64),
+            PrimDef::Float => class("float", |primitives| primitives.float),
+            PrimDef::Bool => class("bool", |primitives| primitives.bool),
+            PrimDef::None => class("none", |primitives| primitives.none),
+            PrimDef::Range => class("range", |primitives| primitives.range),
+            PrimDef::Str => class("str", |primitives| primitives.str),
+            PrimDef::Exception => class("Exception", |primitives| primitives.exception),
+            PrimDef::UInt32 => class("uint32", |primitives| primitives.uint32),
+            PrimDef::UInt64 => class("uint64", |primitives| primitives.uint64),
+            PrimDef::Option => class("Option", |primitives| primitives.option),
+            PrimDef::List => class("list", |primitives| primitives.list),
+            PrimDef::NDArray => class("ndarray", |primitives| primitives.ndarray),
+
+            // Option methods
+            PrimDef::FunOptionIsSome => fun("Option.is_some", Some("is_some")),
+            PrimDef::FunOptionIsNone => fun("Option.is_none", Some("is_none")),
+            PrimDef::FunOptionUnwrap => fun("Option.unwrap", Some("unwrap")),
+
+            // Option-related functions
+            PrimDef::FunSome => fun("Some", None),
+
+            // NDArray methods
+            PrimDef::FunNDArrayCopy => fun("ndarray.copy", Some("copy")),
+            PrimDef::FunNDArrayFill => fun("ndarray.fill", Some("fill")),
+
+            // Range methods
+            PrimDef::FunRangeInit => fun("range.__init__", Some("__init__")),
+
+            // NumPy factory functions
             PrimDef::FunNpNDArray => fun("np_ndarray", None),
             PrimDef::FunNpEmpty => fun("np_empty", None),
             PrimDef::FunNpZeros => fun("np_zeros", None),
@@ -195,26 +241,17 @@ impl PrimDef {
             PrimDef::FunNpArray => fun("np_array", None),
             PrimDef::FunNpEye => fun("np_eye", None),
             PrimDef::FunNpIdentity => fun("np_identity", None),
-            PrimDef::FunRound => fun("round", None),
-            PrimDef::FunRound64 => fun("round64", None),
+
+            // Miscellaneous NumPy & SciPy functions
             PrimDef::FunNpRound => fun("np_round", None),
-            PrimDef::FunRange => fun("range", None),
-            PrimDef::FunStr => fun("str", None),
-            PrimDef::FunBool => fun("bool", None),
-            PrimDef::FunFloor => fun("floor", None),
-            PrimDef::FunFloor64 => fun("floor64", None),
             PrimDef::FunNpFloor => fun("np_floor", None),
-            PrimDef::FunCeil => fun("ceil", None),
-            PrimDef::FunCeil64 => fun("ceil64", None),
             PrimDef::FunNpCeil => fun("np_ceil", None),
-            PrimDef::FunLen => fun("len", None),
-            PrimDef::FunMin => fun("min", None),
             PrimDef::FunNpMin => fun("np_min", None),
             PrimDef::FunNpMinimum => fun("np_minimum", None),
-            PrimDef::FunMax => fun("max", None),
+            PrimDef::FunNpArgmin => fun("np_argmin", None),
             PrimDef::FunNpMax => fun("np_max", None),
             PrimDef::FunNpMaximum => fun("np_maximum", None),
-            PrimDef::FunAbs => fun("abs", None),
+            PrimDef::FunNpArgmax => fun("np_argmax", None),
             PrimDef::FunNpIsNan => fun("np_isnan", None),
             PrimDef::FunNpIsInf => fun("np_isinf", None),
             PrimDef::FunNpSin => fun("np_sin", None),
@@ -252,9 +289,40 @@ impl PrimDef {
             PrimDef::FunNpLdExp => fun("np_ldexp", None),
             PrimDef::FunNpHypot => fun("np_hypot", None),
             PrimDef::FunNpNextAfter => fun("np_nextafter", None),
-            PrimDef::FunSome => fun("Some", None),
-            PrimDef::FunNpAny => fun("np_any", None),
-            PrimDef::FunNpAll => fun("np_all", None),
+            PrimDef::FunNpTranspose => fun("np_transpose", None),
+            PrimDef::FunNpReshape => fun("np_reshape", None),
+
+            // Linalg functions
+            PrimDef::FunNpDot => fun("np_dot", None),
+            PrimDef::FunNpLinalgCholesky => fun("np_linalg_cholesky", None),
+            PrimDef::FunNpLinalgQr => fun("np_linalg_qr", None),
+            PrimDef::FunNpLinalgSvd => fun("np_linalg_svd", None),
+            PrimDef::FunNpLinalgInv => fun("np_linalg_inv", None),
+            PrimDef::FunNpLinalgPinv => fun("np_linalg_pinv", None),
+            PrimDef::FunNpLinalgMatrixPower => fun("np_linalg_matrix_power", None),
+            PrimDef::FunNpLinalgDet => fun("np_linalg_det", None),
+            PrimDef::FunSpLinalgLu => fun("sp_linalg_lu", None),
+            PrimDef::FunSpLinalgSchur => fun("sp_linalg_schur", None),
+            PrimDef::FunSpLinalgHessenberg => fun("sp_linalg_hessenberg", None),
+
+            // Miscellaneous Python & NAC3 functions
+            PrimDef::FunInt32 => fun("int32", None),
+            PrimDef::FunInt64 => fun("int64", None),
+            PrimDef::FunUInt32 => fun("uint32", None),
+            PrimDef::FunUInt64 => fun("uint64", None),
+            PrimDef::FunFloat => fun("float", None),
+            PrimDef::FunRound => fun("round", None),
+            PrimDef::FunRound64 => fun("round64", None),
+            PrimDef::FunStr => fun("str", None),
+            PrimDef::FunBool => fun("bool", None),
+            PrimDef::FunFloor => fun("floor", None),
+            PrimDef::FunFloor64 => fun("floor64", None),
+            PrimDef::FunCeil => fun("ceil", None),
+            PrimDef::FunCeil64 => fun("ceil64", None),
+            PrimDef::FunLen => fun("len", None),
+            PrimDef::FunMin => fun("min", None),
+            PrimDef::FunMax => fun("max", None),
+            PrimDef::FunAbs => fun("abs", None),
         }
     }
 }
@@ -323,6 +391,9 @@ impl TopLevelDef {
                     r
                 }
             ),
+            TopLevelDef::Variable { name, ty, .. } => {
+                format!("Variable {{ name: {name:?}, ty: {:?} }}", unifier.stringify(*ty),)
+            }
         }
     }
 }
@@ -358,7 +429,13 @@ impl TopLevelComposer {
         });
         let range = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::Range.id(),
-            fields: HashMap::new(),
+            fields: [
+                ("start".into(), (int32, true)),
+                ("stop".into(), (int32, true)),
+                ("step".into(), (int32, true)),
+            ]
+            .into_iter()
+            .collect(),
             params: VarMap::new(),
         });
         let str = unifier.add_ty(TypeEnum::TObj {
@@ -399,9 +476,9 @@ impl TopLevelComposer {
         let option = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::Option.id(),
             fields: vec![
-                (PrimDef::OptionIsSome.simple_name().into(), (is_some_type_fun_ty, true)),
-                (PrimDef::OptionIsNone.simple_name().into(), (is_some_type_fun_ty, true)),
-                (PrimDef::OptionUnwrap.simple_name().into(), (unwrap_fun_ty, true)),
+                (PrimDef::FunOptionIsSome.simple_name().into(), (is_some_type_fun_ty, true)),
+                (PrimDef::FunOptionIsNone.simple_name().into(), (is_some_type_fun_ty, true)),
+                (PrimDef::FunOptionUnwrap.simple_name().into(), (unwrap_fun_ty, true)),
             ]
             .into_iter()
             .collect::<HashMap<_, _>>(),
@@ -414,6 +491,13 @@ impl TopLevelComposer {
             _ => unreachable!(),
         };
 
+        let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+        let list = unifier.add_ty(TypeEnum::TObj {
+            obj_id: PrimDef::List.id(),
+            fields: Mapping::new(),
+            params: into_var_map([list_elem_tvar]),
+        });
+
         let ndarray_dtype_tvar = unifier.get_fresh_var(Some("ndarray_dtype".into()), None);
         let ndarray_ndims_tvar =
             unifier.get_fresh_const_generic_var(size_t_ty, Some("ndarray_ndims".into()), None);
@@ -428,6 +512,7 @@ impl TopLevelComposer {
                 name: "value".into(),
                 ty: ndarray_dtype_tvar.ty,
                 default_value: None,
+                is_vararg: false,
             }],
             ret: none,
             vars: into_var_map([ndarray_dtype_tvar, ndarray_ndims_tvar]),
@@ -435,8 +520,8 @@ impl TopLevelComposer {
         let ndarray = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::NDArray.id(),
             fields: Mapping::from([
-                (PrimDef::NDArrayCopy.simple_name().into(), (ndarray_copy_fun_ty, true)),
-                (PrimDef::NDArrayFill.simple_name().into(), (ndarray_fill_fun_ty, true)),
+                (PrimDef::FunNDArrayCopy.simple_name().into(), (ndarray_copy_fun_ty, true)),
+                (PrimDef::FunNDArrayFill.simple_name().into(), (ndarray_fill_fun_ty, true)),
             ]),
             params: into_var_map([ndarray_dtype_tvar, ndarray_ndims_tvar]),
         });
@@ -455,6 +540,7 @@ impl TopLevelComposer {
             str,
             exception,
             option,
+            list,
             ndarray,
             size_t,
         };
@@ -478,6 +564,7 @@ impl TopLevelComposer {
             object_id: obj_id,
             type_vars: Vec::default(),
             fields: Vec::default(),
+            attributes: Vec::default(),
             methods: Vec::default(),
             ancestors: Vec::default(),
             constructor,
@@ -508,6 +595,18 @@ impl TopLevelComposer {
         }
     }
 
+    #[must_use]
+    pub fn make_top_level_variable_def(
+        name: String,
+        simple_name: StrRef,
+        ty: Type,
+        ty_decl: Expr,
+        resolver: Option<Arc<dyn SymbolResolver + Send + Sync>>,
+        loc: Option<Location>,
+    ) -> TopLevelDef {
+        TopLevelDef::Variable { name, simple_name, ty, ty_decl, resolver, loc }
+    }
+
     #[must_use]
     pub fn make_class_method_name(mut class_name: String, method_name: &str) -> String {
         class_name.push('.');
@@ -653,7 +752,16 @@ impl TopLevelComposer {
         )
     }
 
-    pub fn get_all_assigned_field(stmts: &[Stmt<()>]) -> Result<HashSet<StrRef>, HashSet<String>> {
+    /// This function returns the fields that have been initialized in the `__init__` function of a class
+    /// The function takes as input:
+    ///  * `class_id`: The `object_id` of the class whose function is being evaluated (check `TopLevelDef::Class`)
+    ///  * `definition_ast_list`: A list of ast definitions and statements defined in `TopLevelComposer`
+    ///  * `stmts`: The body of function being parsed. Each statment is analyzed to check varaible initialization statements
+    pub fn get_all_assigned_field(
+        class_id: usize,
+        definition_ast_list: &Vec<DefAst>,
+        stmts: &[Stmt<()>],
+    ) -> Result<HashSet<StrRef>, HashSet<String>> {
         let mut result = HashSet::new();
         for s in stmts {
             match &s.node {
@@ -689,30 +797,138 @@ impl TopLevelComposer {
                 // TODO: do not check for For and While?
                 ast::StmtKind::For { body, orelse, .. }
                 | ast::StmtKind::While { body, orelse, .. } => {
-                    result.extend(Self::get_all_assigned_field(body.as_slice())?);
-                    result.extend(Self::get_all_assigned_field(orelse.as_slice())?);
+                    result.extend(Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        body.as_slice(),
+                    )?);
+                    result.extend(Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        orelse.as_slice(),
+                    )?);
                 }
                 ast::StmtKind::If { body, orelse, .. } => {
-                    let inited_for_sure = Self::get_all_assigned_field(body.as_slice())?
-                        .intersection(&Self::get_all_assigned_field(orelse.as_slice())?)
-                        .copied()
-                        .collect::<HashSet<_>>();
+                    let inited_for_sure = Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        body.as_slice(),
+                    )?
+                    .intersection(&Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        orelse.as_slice(),
+                    )?)
+                    .copied()
+                    .collect::<HashSet<_>>();
                     result.extend(inited_for_sure);
                 }
                 ast::StmtKind::Try { body, orelse, finalbody, .. } => {
-                    let inited_for_sure = Self::get_all_assigned_field(body.as_slice())?
-                        .intersection(&Self::get_all_assigned_field(orelse.as_slice())?)
-                        .copied()
-                        .collect::<HashSet<_>>();
+                    let inited_for_sure = Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        body.as_slice(),
+                    )?
+                    .intersection(&Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        orelse.as_slice(),
+                    )?)
+                    .copied()
+                    .collect::<HashSet<_>>();
                     result.extend(inited_for_sure);
-                    result.extend(Self::get_all_assigned_field(finalbody.as_slice())?);
+                    result.extend(Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        finalbody.as_slice(),
+                    )?);
                 }
                 ast::StmtKind::With { body, .. } => {
-                    result.extend(Self::get_all_assigned_field(body.as_slice())?);
+                    result.extend(Self::get_all_assigned_field(
+                        class_id,
+                        definition_ast_list,
+                        body.as_slice(),
+                    )?);
+                }
+                // Variables Initialized in function calls
+                ast::StmtKind::Expr { value, .. } => {
+                    let ExprKind::Call { func, .. } = &value.node else {
+                        continue;
+                    };
+                    let ExprKind::Attribute { value, attr, .. } = &func.node else {
+                        continue;
+                    };
+                    let ExprKind::Name { id, .. } = &value.node else {
+                        continue;
+                    };
+                    // Need to consider the two cases:
+                    //  Case 1) Call to class function i.e. id = `self`
+                    //  Case 2) Call to class ancestor function i.e. id = ancestor_name
+                    // We leave checking whether function in case 2 belonged to class ancestor or not to type checker
+                    //
+                    // According to current handling of `self`, function definition are fixed and do not change regardless
+                    // of which object is passed as `self` i.e. virtual polymorphism is not supported
+                    // Therefore, we change class id for case 2 to reflect behavior of our compiler
+
+                    let class_name = if *id == "self".into() {
+                        let ast::StmtKind::ClassDef { name, .. } =
+                            &definition_ast_list[class_id].1.as_ref().unwrap().node
+                        else {
+                            unreachable!()
+                        };
+                        name
+                    } else {
+                        id
+                    };
+
+                    let parent_method = definition_ast_list.iter().find_map(|def| {
+                        let (
+                            class_def,
+                            Some(ast::Located {
+                                node: ast::StmtKind::ClassDef { name, body, .. },
+                                ..
+                            }),
+                        ) = &def
+                        else {
+                            return None;
+                        };
+                        let TopLevelDef::Class { object_id: class_id, .. } = &*class_def.read()
+                        else {
+                            unreachable!()
+                        };
+
+                        if name == class_name {
+                            body.iter().find_map(|m| {
+                                let ast::StmtKind::FunctionDef { name, body, .. } = &m.node else {
+                                    return None;
+                                };
+                                if *name == *attr {
+                                    return Some((body.clone(), class_id.0));
+                                }
+                                None
+                            })
+                        } else {
+                            None
+                        }
+                    });
+
+                    // If method body is none then method does not exist
+                    if let Some((method_body, class_id)) = parent_method {
+                        result.extend(Self::get_all_assigned_field(
+                            class_id,
+                            definition_ast_list,
+                            method_body.as_slice(),
+                        )?);
+                    } else {
+                        return Err(HashSet::from([format!(
+                            "{}.{} not found in class {class_name} at {}",
+                            *id, *attr, value.location
+                        )]));
+                    }
                 }
                 ast::StmtKind::Pass { .. }
                 | ast::StmtKind::Assert { .. }
-                | ast::StmtKind::Expr { .. } => {}
+                | ast::StmtKind::AnnAssign { .. } => {}
 
                 _ => {
                     unimplemented!()
@@ -891,7 +1107,9 @@ pub fn arraylike_flatten_element_type(unifier: &mut Unifier, ty: Type) -> Type {
             unpack_ndarray_var_tys(unifier, ty).0
         }
 
-        TypeEnum::TList { ty } => arraylike_flatten_element_type(unifier, *ty),
+        TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+            arraylike_flatten_element_type(unifier, iter_type_vars(params).next().unwrap().ty)
+        }
         _ => ty,
     }
 }
@@ -912,7 +1130,9 @@ pub fn arraylike_get_ndims(unifier: &mut Unifier, ty: Type) -> u64 {
             u64::try_from(values[0].clone()).unwrap()
         }
 
-        TypeEnum::TList { ty } => arraylike_get_ndims(unifier, *ty) + 1,
+        TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+            arraylike_get_ndims(unifier, iter_type_vars(params).next().unwrap().ty) + 1
+        }
         _ => 0,
     }
 }

nac3core/src/toplevel/mod.rs

@@ -6,24 +6,24 @@ use std::{
     sync::Arc,
 };
 
-use super::codegen::CodeGenContext;
-use super::typecheck::type_inferencer::PrimitiveStore;
-use super::typecheck::typedef::{
-    FunSignature, FuncArg, SharedUnifier, Type, TypeEnum, Unifier, VarMap,
-};
-use crate::{
-    codegen::CodeGenerator,
-    symbol_resolver::{SymbolResolver, ValueEnum},
-    typecheck::{
-        type_inferencer::CodeLocation,
-        typedef::{CallId, TypeVarId},
-    },
-};
 use inkwell::values::BasicValueEnum;
 use itertools::Itertools;
-use nac3parser::ast::{self, Location, Stmt, StrRef};
 use parking_lot::RwLock;
 
+use nac3parser::ast::{self, Expr, Location, Stmt, StrRef};
+
+use crate::{
+    codegen::{CodeGenContext, CodeGenerator},
+    symbol_resolver::{SymbolResolver, ValueEnum},
+    typecheck::{
+        type_inferencer::{CodeLocation, PrimitiveStore},
+        typedef::{
+            CallId, FunSignature, FuncArg, SharedUnifier, Type, TypeEnum, TypeVarId, Unifier,
+            VarMap,
+        },
+    },
+};
+
 #[derive(PartialEq, Eq, PartialOrd, Ord, Clone, Copy, Hash, Debug)]
 pub struct DefinitionId(pub usize);
 
@@ -103,6 +103,10 @@ pub enum TopLevelDef {
         ///
         /// Name and type is mutable.
         fields: Vec<(StrRef, Type, bool)>,
+        /// Class Attributes.
+        ///
+        /// Name, type, value.
+        attributes: Vec<(StrRef, Type, ast::Constant)>,
         /// Class methods, pointing to the corresponding function definition.
         methods: Vec<(StrRef, Type, DefinitionId)>,
         /// Ancestor classes, including itself.
@@ -126,14 +130,14 @@ pub enum TopLevelDef {
         /// Function instance to symbol mapping
         ///
         /// * Key: String representation of type variable values, sorted by variable ID in ascending
-        /// order, including type variables associated with the class.
+        ///   order, including type variables associated with the class.
         /// * Value: Function symbol name.
         instance_to_symbol: HashMap<String, String>,
         /// Function instances to annotated AST mapping
         ///
         /// * Key: String representation of type variable values, sorted by variable ID in ascending
-        /// order, including type variables associated with the class. Excluding rigid type
-        /// variables.
+        ///   order, including type variables associated with the class. Excluding rigid type
+        ///   variables.
         ///
         /// Rigid type variables that would be substituted when the function is instantiated.
         instance_to_stmt: HashMap<String, FunInstance>,
@@ -144,6 +148,25 @@ pub enum TopLevelDef {
         /// Definition location.
         loc: Option<Location>,
     },
+    Variable {
+        /// Qualified name of the global variable, should be unique globally.
+        name: String,
+
+        /// Simple name, the same as in method/function definition.
+        simple_name: StrRef,
+
+        /// Type of the global variable.
+        ty: Type,
+
+        /// The declared type of the global variable.
+        ty_decl: Expr,
+
+        /// Symbol resolver of the module defined the class.
+        resolver: Option<Arc<dyn SymbolResolver + Send + Sync>>,
+
+        /// Definition location.
+        loc: Option<Location>,
+    },
 }
 
 pub struct TopLevelContext {

nac3core/src/toplevel/numpy.rs

@@ -1,3 +1,5 @@
+use itertools::Itertools;
+
 use crate::{
     toplevel::helper::PrimDef,
     typecheck::{
@@ -5,14 +7,13 @@ use crate::{
         typedef::{Type, TypeEnum, TypeVarId, Unifier, VarMap},
     },
 };
-use itertools::Itertools;
 
 /// Creates a `ndarray` [`Type`] with the given type arguments.
 ///
 /// * `dtype` - The element type of the `ndarray`, or [`None`] if the type variable is not
-/// specialized.
+///   specialized.
 /// * `ndims` - The number of dimensions of the `ndarray`, or [`None`] if the type variable is not
-/// specialized.
+///   specialized.
 pub fn make_ndarray_ty(
     unifier: &mut Unifier,
     primitives: &PrimitiveStore,
@@ -25,9 +26,9 @@ pub fn make_ndarray_ty(
 /// Substitutes type variables in `ndarray`.
 ///
 /// * `dtype` - The element type of the `ndarray`, or [`None`] if the type variable is not
-/// specialized.
+///   specialized.
 /// * `ndims` - The number of dimensions of the `ndarray`, or [`None`] if the type variable is not
-/// specialized.
+///   specialized.
 pub fn subst_ndarray_tvars(
     unifier: &mut Unifier,
     ndarray: Type,

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__generic_class.snap

@@ -5,7 +5,7 @@ expression: res_vec
 [
     "Class {\nname: \"Generic_A\",\nancestors: [\"Generic_A[V]\", \"B\"],\nfields: [\"aa\", \"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"foo\", \"fn[[b:T], none]\"), (\"fun\", \"fn[[a:int32], V]\")],\ntype_vars: [\"V\"]\n}\n",
     "Function {\nname: \"Generic_A.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
-    "Function {\nname: \"Generic_A.fun\",\nsig: \"fn[[a:int32], V]\",\nvar_id: [TypeVarId(239)]\n}\n",
+    "Function {\nname: \"Generic_A.fun\",\nsig: \"fn[[a:int32], V]\",\nvar_id: [TypeVarId(241)]\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\"],\nfields: [\"aa\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"foo\", \"fn[[b:T], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"B.foo\",\nsig: \"fn[[b:T], none]\",\nvar_id: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__inheritance_override.snap

@@ -7,7 +7,7 @@ expression: res_vec
     "Function {\nname: \"A.__init__\",\nsig: \"fn[[t:T], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.fun\",\nsig: \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.foo\",\nsig: \"fn[[c:C], none]\",\nvar_id: []\n}\n",
-    "Class {\nname: \"B\",\nancestors: [\"B[typevar228]\", \"A[float]\"],\nfields: [\"a\", \"b\", \"c\", \"d\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\"), (\"foo\", \"fn[[c:C], none]\")],\ntype_vars: [\"typevar228\"]\n}\n",
+    "Class {\nname: \"B\",\nancestors: [\"B[typevar230]\", \"A[float]\"],\nfields: [\"a\", \"b\", \"c\", \"d\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\"), (\"foo\", \"fn[[c:C], none]\")],\ntype_vars: [\"typevar230\"]\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"B.fun\",\nsig: \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\",\nvar_id: []\n}\n",
     "Class {\nname: \"C\",\nancestors: [\"C\", \"B[bool]\", \"A[float]\"],\nfields: [\"a\", \"b\", \"c\", \"d\", \"e\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\"), (\"foo\", \"fn[[c:C], none]\")],\ntype_vars: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__list_tuple_generic.snap

@@ -5,8 +5,8 @@ expression: res_vec
 [
     "Function {\nname: \"foo\",\nsig: \"fn[[a:list[int32], b:tuple[T, float]], A[B, bool]]\",\nvar_id: []\n}\n",
     "Class {\nname: \"A\",\nancestors: [\"A[T, V]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[v:V], none]\"), (\"fun\", \"fn[[a:T], V]\")],\ntype_vars: [\"T\", \"V\"]\n}\n",
-    "Function {\nname: \"A.__init__\",\nsig: \"fn[[v:V], none]\",\nvar_id: [TypeVarId(241)]\n}\n",
-    "Function {\nname: \"A.fun\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(246)]\n}\n",
+    "Function {\nname: \"A.__init__\",\nsig: \"fn[[v:V], none]\",\nvar_id: [TypeVarId(243)]\n}\n",
+    "Function {\nname: \"A.fun\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(248)]\n}\n",
     "Function {\nname: \"gfun\",\nsig: \"fn[[a:A[list[float], int32]], none]\",\nvar_id: []\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\"],\nfields: [],\nmethods: [(\"__init__\", \"fn[[], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__self1.snap

@@ -3,7 +3,7 @@ source: nac3core/src/toplevel/test.rs
 expression: res_vec
 ---
 [
-    "Class {\nname: \"A\",\nancestors: [\"A[typevar227, typevar228]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[a:A[float, bool], b:B], none]\"), (\"fun\", \"fn[[a:A[float, bool]], A[bool, int32]]\")],\ntype_vars: [\"typevar227\", \"typevar228\"]\n}\n",
+    "Class {\nname: \"A\",\nancestors: [\"A[typevar229, typevar230]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[a:A[float, bool], b:B], none]\"), (\"fun\", \"fn[[a:A[float, bool]], A[bool, int32]]\")],\ntype_vars: [\"typevar229\", \"typevar230\"]\n}\n",
     "Function {\nname: \"A.__init__\",\nsig: \"fn[[a:A[float, bool], b:B], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.fun\",\nsig: \"fn[[a:A[float, bool]], A[bool, int32]]\",\nvar_id: []\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\", \"A[int64, bool]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:A[float, bool]], A[bool, int32]]\"), (\"foo\", \"fn[[b:B], B]\"), (\"bar\", \"fn[[a:A[list[B], int32]], tuple[A[virtual[A[B, int32]], bool], B]]\")],\ntype_vars: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__simple_class_compose.snap

@@ -6,12 +6,12 @@ expression: res_vec
     "Class {\nname: \"A\",\nancestors: [\"A\"],\nfields: [\"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[b:B], none]\"), (\"foo\", \"fn[[a:T, b:V], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"A.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.fun\",\nsig: \"fn[[b:B], none]\",\nvar_id: []\n}\n",
-    "Function {\nname: \"A.foo\",\nsig: \"fn[[a:T, b:V], none]\",\nvar_id: [TypeVarId(247)]\n}\n",
+    "Function {\nname: \"A.foo\",\nsig: \"fn[[a:T, b:V], none]\",\nvar_id: [TypeVarId(249)]\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\", \"C\", \"A\"],\nfields: [\"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[b:B], none]\"), (\"foo\", \"fn[[a:T, b:V], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Class {\nname: \"C\",\nancestors: [\"C\", \"A\"],\nfields: [\"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[b:B], none]\"), (\"foo\", \"fn[[a:T, b:V], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"C.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"C.fun\",\nsig: \"fn[[b:B], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"foo\",\nsig: \"fn[[a:A], none]\",\nvar_id: []\n}\n",
-    "Function {\nname: \"ff\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(255)]\n}\n",
+    "Function {\nname: \"ff\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(257)]\n}\n",
 ]

nac3core/src/toplevel/test.rs

@@ -1,20 +1,24 @@
+use std::{collections::HashMap, sync::Arc};
+
+use indoc::indoc;
+use parking_lot::Mutex;
+use test_case::test_case;
+
+use nac3parser::{
+    ast::{fold::Fold, FileName},
+    parser::parse_program,
+};
+
+use super::*;
 use crate::{
     codegen::CodeGenContext,
     symbol_resolver::{SymbolResolver, ValueEnum},
-    toplevel::DefinitionId,
+    toplevel::{helper::PrimDef, DefinitionId},
     typecheck::{
         type_inferencer::PrimitiveStore,
-        typedef::{Type, Unifier},
+        typedef::{into_var_map, Type, Unifier},
     },
 };
-use indoc::indoc;
-use nac3parser::ast::FileName;
-use nac3parser::{ast::fold::Fold, parser::parse_program};
-use parking_lot::Mutex;
-use std::{collections::HashMap, sync::Arc};
-use test_case::test_case;
-
-use super::*;
 
 struct ResolverInternal {
     id_to_type: Mutex<HashMap<StrRef, Type>>,
@@ -61,6 +65,7 @@ impl SymbolResolver for Resolver {
         &self,
         _: StrRef,
         _: &mut CodeGenContext<'ctx, '_>,
+        _: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
         unimplemented!()
     }
@@ -116,7 +121,8 @@ impl SymbolResolver for Resolver {
     "register"
 )]
 fn test_simple_register(source: Vec<&str>) {
-    let mut composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 64).0;
+    let mut composer =
+        TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
 
     for s in source {
         let ast = parse_program(s, FileName::default()).unwrap();
@@ -136,7 +142,8 @@ fn test_simple_register(source: Vec<&str>) {
     "register"
 )]
 fn test_simple_register_without_constructor(source: &str) {
-    let mut composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 64).0;
+    let mut composer =
+        TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
     let ast = parse_program(source, FileName::default()).unwrap();
     let ast = ast[0].clone();
     composer.register_top_level(ast, None, "", true).unwrap();
@@ -170,7 +177,8 @@ fn test_simple_register_without_constructor(source: &str) {
     "function compose"
 )]
 fn test_simple_function_analyze(source: &[&str], tys: &[&str], names: &[&str]) {
-    let mut composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 64).0;
+    let mut composer =
+        TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
 
     let internal_resolver = Arc::new(ResolverInternal {
         id_to_def: Mutex::default(),
@@ -518,7 +526,8 @@ fn test_simple_function_analyze(source: &[&str], tys: &[&str], names: &[&str]) {
 )]
 fn test_analyze(source: &[&str], res: &[&str]) {
     let print = false;
-    let mut composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 64).0;
+    let mut composer =
+        TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
 
     let internal_resolver = make_internal_resolver_with_tvar(
         vec![
@@ -695,7 +704,8 @@ fn test_analyze(source: &[&str], res: &[&str]) {
 )]
 fn test_inference(source: Vec<&str>, res: &[&str]) {
     let print = true;
-    let mut composer = TopLevelComposer::new(Vec::new(), ComposerConfig::default(), 64).0;
+    let mut composer =
+        TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
 
     let internal_resolver = make_internal_resolver_with_tvar(
         vec![
@@ -775,8 +785,15 @@ fn make_internal_resolver_with_tvar(
     unifier: &mut Unifier,
     print: bool,
 ) -> Arc<ResolverInternal> {
+    let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+    let list = unifier.add_ty(TypeEnum::TObj {
+        obj_id: PrimDef::List.id(),
+        fields: HashMap::new(),
+        params: into_var_map([list_elem_tvar]),
+    });
+
     let res: Arc<ResolverInternal> = ResolverInternal {
-        id_to_def: Mutex::default(),
+        id_to_def: Mutex::new(HashMap::from([("list".into(), PrimDef::List.id())])),
         id_to_type: tvars
             .into_iter()
             .map(|(name, range)| {
@@ -790,7 +807,7 @@ fn make_internal_resolver_with_tvar(
             })
             .collect::<HashMap<_, _>>()
             .into(),
-        class_names: Mutex::default(),
+        class_names: Mutex::new(HashMap::from([("list".into(), list)])),
     }
     .into();
     if print {

nac3core/src/toplevel/type_annotation.rs

@@ -1,9 +1,14 @@
-use super::*;
-use crate::symbol_resolver::SymbolValue;
-use crate::toplevel::helper::PrimDef;
-use crate::typecheck::typedef::VarMap;
+use strum::IntoEnumIterator;
+
 use nac3parser::ast::Constant;
 
+use super::*;
+use crate::{
+    symbol_resolver::SymbolValue,
+    toplevel::helper::{PrimDef, PrimDefDetails},
+    typecheck::typedef::VarMap,
+};
+
 #[derive(Clone, Debug)]
 pub enum TypeAnnotation {
     Primitive(Type),
@@ -18,7 +23,6 @@ pub enum TypeAnnotation {
     TypeVar(Type),
     /// A `Literal` allowing a subset of literals.
     Literal(Vec<Constant>),
-    List(Box<TypeAnnotation>),
     Tuple(Vec<TypeAnnotation>),
 }
 
@@ -51,7 +55,6 @@ impl TypeAnnotation {
                 format!("Literal({})", values.iter().map(|v| format!("{v:?}")).join(", "))
             }
             Virtual(ty) => format!("virtual[{}]", ty.stringify(unifier)),
-            List(ty) => format!("list[{}]", ty.stringify(unifier)),
             Tuple(types) => {
                 format!(
                     "tuple[{}]",
@@ -65,9 +68,9 @@ impl TypeAnnotation {
 /// Parses an AST expression `expr` into a [`TypeAnnotation`].
 ///
 /// * `locked` - A [`HashMap`] containing the IDs of known definitions, mapped to a [`Vec`] of all
-/// generic variables associated with the definition.
+///   generic variables associated with the definition.
 /// * `type_var` - The type variable associated with the type argument currently being parsed. Pass
-/// [`None`] when this function is invoked externally.
+///   [`None`] when this function is invoked externally.
 pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
     resolver: &(dyn SymbolResolver + Send + Sync),
     top_level_defs: &[Arc<RwLock<TopLevelDef>>],
@@ -145,9 +148,7 @@ pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
          slice: &ast::Expr<T>,
          unifier: &mut Unifier,
          mut locked: HashMap<DefinitionId, Vec<Type>, S>| {
-            if ["virtual".into(), "Generic".into(), "list".into(), "tuple".into(), "Option".into()]
-                .contains(id)
-            {
+            if ["virtual".into(), "Generic".into(), "tuple".into(), "Option".into()].contains(id) {
                 return Err(HashSet::from([format!(
                     "keywords cannot be class name (at {})",
                     expr.location
@@ -236,23 +237,6 @@ pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
             Ok(TypeAnnotation::Virtual(def.into()))
         }
 
-        // list
-        ast::ExprKind::Subscript { value, slice, .. }
-            if {
-                matches!(&value.node, ast::ExprKind::Name { id, .. } if id == &"list".into())
-            } =>
-        {
-            let def_ann = parse_ast_to_type_annotation_kinds(
-                resolver,
-                top_level_defs,
-                unifier,
-                primitives,
-                slice.as_ref(),
-                locked,
-            )?;
-            Ok(TypeAnnotation::List(def_ann.into()))
-        }
-
         // option
         ast::ExprKind::Subscript { value, slice, .. }
             if {
@@ -378,6 +362,7 @@ pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
 pub fn get_type_from_type_annotation_kinds(
     top_level_defs: &[Arc<RwLock<TopLevelDef>>],
     unifier: &mut Unifier,
+    primitives: &PrimitiveStore,
     ann: &TypeAnnotation,
     subst_list: &mut Option<Vec<Type>>,
 ) -> Result<Type, HashSet<String>> {
@@ -400,99 +385,141 @@ pub fn get_type_from_type_annotation_kinds(
             let param_ty = params
                 .iter()
                 .map(|x| {
-                    get_type_from_type_annotation_kinds(top_level_defs, unifier, x, subst_list)
+                    get_type_from_type_annotation_kinds(
+                        top_level_defs,
+                        unifier,
+                        primitives,
+                        x,
+                        subst_list,
+                    )
                 })
                 .collect::<Result<Vec<_>, _>>()?;
 
-            let subst = {
-                // check for compatible range
-                // TODO: if allow type var to be applied(now this disallowed in the parse_to_type_annotation), need more check
-                let mut result = VarMap::new();
-                for (tvar, p) in type_vars.iter().zip(param_ty) {
-                    match unifier.get_ty(*tvar).as_ref() {
-                        TypeEnum::TVar {
-                            id,
-                            range,
-                            fields: None,
-                            name,
-                            loc,
-                            is_const_generic: false,
-                        } => {
-                            let ok: bool = {
-                                // create a temp type var and unify to check compatibility
-                                p == *tvar || {
-                                    let temp = unifier.get_fresh_var_with_range(
-                                        range.as_slice(),
-                                        *name,
-                                        *loc,
-                                    );
-                                    unifier.unify(temp.ty, p).is_ok()
-                                }
-                            };
-                            if ok {
-                                result.insert(*id, p);
-                            } else {
-                                return Err(HashSet::from([format!(
-                                    "cannot apply type {} to type variable with id {:?}",
-                                    unifier.internal_stringify(
-                                        p,
-                                        &mut |id| format!("class{id}"),
-                                        &mut |id| format!("typevar{id}"),
-                                        &mut None
-                                    ),
-                                    *id
-                                )]));
-                            }
-                        }
+            let ty = if let Some(prim_def) = PrimDef::iter().find(|prim| prim.id() == *obj_id) {
+                // Primitive TopLevelDefs do not contain all fields that are present in their Type
+                // counterparts, so directly perform subst on the Type instead.
 
-                        TypeEnum::TVar { id, range, name, loc, is_const_generic: true, .. } => {
-                            let ty = range[0];
-                            let ok: bool = {
-                                // create a temp type var and unify to check compatibility
-                                p == *tvar || {
-                                    let temp = unifier.get_fresh_const_generic_var(ty, *name, *loc);
-                                    unifier.unify(temp.ty, p).is_ok()
-                                }
-                            };
-                            if ok {
-                                result.insert(*id, p);
-                            } else {
-                                return Err(HashSet::from([format!(
-                                    "cannot apply type {} to type variable {}",
-                                    unifier.stringify(p),
-                                    name.unwrap_or_else(|| format!("typevar{id}").into()),
-                                )]));
-                            }
-                        }
+                let PrimDefDetails::PrimClass { get_ty_fn, .. } = prim_def.details() else {
+                    unreachable!()
+                };
 
-                        _ => unreachable!("must be generic type var"),
+                let base_ty = get_ty_fn(primitives);
+                let params =
+                    if let TypeEnum::TObj { params, .. } = &*unifier.get_ty_immutable(base_ty) {
+                        params.clone()
+                    } else {
+                        unreachable!()
+                    };
+
+                unifier
+                    .subst(
+                        get_ty_fn(primitives),
+                        &params
+                            .iter()
+                            .zip(param_ty)
+                            .map(|(obj_tv, param)| (*obj_tv.0, param))
+                            .collect(),
+                    )
+                    .unwrap_or(base_ty)
+            } else {
+                let subst = {
+                    // check for compatible range
+                    // TODO: if allow type var to be applied(now this disallowed in the parse_to_type_annotation), need more check
+                    let mut result = VarMap::new();
+                    for (tvar, p) in type_vars.iter().zip(param_ty) {
+                        match unifier.get_ty(*tvar).as_ref() {
+                            TypeEnum::TVar {
+                                id,
+                                range,
+                                fields: None,
+                                name,
+                                loc,
+                                is_const_generic: false,
+                            } => {
+                                let ok: bool = {
+                                    // create a temp type var and unify to check compatibility
+                                    p == *tvar || {
+                                        let temp = unifier.get_fresh_var_with_range(
+                                            range.as_slice(),
+                                            *name,
+                                            *loc,
+                                        );
+                                        unifier.unify(temp.ty, p).is_ok()
+                                    }
+                                };
+                                if ok {
+                                    result.insert(*id, p);
+                                } else {
+                                    return Err(HashSet::from([format!(
+                                        "cannot apply type {} to type variable with id {:?}",
+                                        unifier.internal_stringify(
+                                            p,
+                                            &mut |id| format!("class{id}"),
+                                            &mut |id| format!("typevar{id}"),
+                                            &mut None
+                                        ),
+                                        *id
+                                    )]));
+                                }
+                            }
+
+                            TypeEnum::TVar {
+                                id, range, name, loc, is_const_generic: true, ..
+                            } => {
+                                let ty = range[0];
+                                let ok: bool = {
+                                    // create a temp type var and unify to check compatibility
+                                    p == *tvar || {
+                                        let temp =
+                                            unifier.get_fresh_const_generic_var(ty, *name, *loc);
+                                        unifier.unify(temp.ty, p).is_ok()
+                                    }
+                                };
+                                if ok {
+                                    result.insert(*id, p);
+                                } else {
+                                    return Err(HashSet::from([format!(
+                                        "cannot apply type {} to type variable {}",
+                                        unifier.stringify(p),
+                                        name.unwrap_or_else(|| format!("typevar{id}").into()),
+                                    )]));
+                                }
+                            }
+
+                            _ => unreachable!("must be generic type var"),
+                        }
+                    }
+                    result
+                };
+                // Class Attributes keep a copy with Class Definition and are not added to objects
+                let mut tobj_fields = methods
+                    .iter()
+                    .map(|(name, ty, _)| {
+                        let subst_ty = unifier.subst(*ty, &subst).unwrap_or(*ty);
+                        // methods are immutable
+                        (*name, (subst_ty, false))
+                    })
+                    .collect::<HashMap<_, _>>();
+                tobj_fields.extend(fields.iter().map(|(name, ty, mutability)| {
+                    let subst_ty = unifier.subst(*ty, &subst).unwrap_or(*ty);
+                    (*name, (subst_ty, *mutability))
+                }));
+                let need_subst = !subst.is_empty();
+                let ty = unifier.add_ty(TypeEnum::TObj {
+                    obj_id: *obj_id,
+                    fields: tobj_fields,
+                    params: subst,
+                });
+
+                if need_subst {
+                    if let Some(wl) = subst_list.as_mut() {
+                        wl.push(ty);
                     }
                 }
-                result
+
+                ty
             };
-            let mut tobj_fields = methods
-                .iter()
-                .map(|(name, ty, _)| {
-                    let subst_ty = unifier.subst(*ty, &subst).unwrap_or(*ty);
-                    // methods are immutable
-                    (*name, (subst_ty, false))
-                })
-                .collect::<HashMap<_, _>>();
-            tobj_fields.extend(fields.iter().map(|(name, ty, mutability)| {
-                let subst_ty = unifier.subst(*ty, &subst).unwrap_or(*ty);
-                (*name, (subst_ty, *mutability))
-            }));
-            let need_subst = !subst.is_empty();
-            let ty = unifier.add_ty(TypeEnum::TObj {
-                obj_id: *obj_id,
-                fields: tobj_fields,
-                params: subst,
-            });
-            if need_subst {
-                if let Some(wl) = subst_list.as_mut() {
-                    wl.push(ty);
-                }
-            }
+
             Ok(ty)
         }
         TypeAnnotation::Primitive(ty) | TypeAnnotation::TypeVar(ty) => Ok(*ty),
@@ -510,28 +537,26 @@ pub fn get_type_from_type_annotation_kinds(
             let ty = get_type_from_type_annotation_kinds(
                 top_level_defs,
                 unifier,
+                primitives,
                 ty.as_ref(),
                 subst_list,
             )?;
             Ok(unifier.add_ty(TypeEnum::TVirtual { ty }))
         }
-        TypeAnnotation::List(ty) => {
-            let ty = get_type_from_type_annotation_kinds(
-                top_level_defs,
-                unifier,
-                ty.as_ref(),
-                subst_list,
-            )?;
-            Ok(unifier.add_ty(TypeEnum::TList { ty }))
-        }
         TypeAnnotation::Tuple(tys) => {
             let tys = tys
                 .iter()
                 .map(|x| {
-                    get_type_from_type_annotation_kinds(top_level_defs, unifier, x, subst_list)
+                    get_type_from_type_annotation_kinds(
+                        top_level_defs,
+                        unifier,
+                        primitives,
+                        x,
+                        subst_list,
+                    )
                 })
                 .collect::<Result<Vec<_>, _>>()?;
-            Ok(unifier.add_ty(TypeEnum::TTuple { ty: tys }))
+            Ok(unifier.add_ty(TypeEnum::TTuple { ty: tys, is_vararg_ctx: false }))
         }
     }
 }
@@ -564,7 +589,7 @@ pub fn get_type_var_contained_in_type_annotation(ann: &TypeAnnotation) -> Vec<Ty
     let mut result: Vec<TypeAnnotation> = Vec::new();
     match ann {
         TypeAnnotation::TypeVar(..) => result.push(ann.clone()),
-        TypeAnnotation::Virtual(ann) | TypeAnnotation::List(ann) => {
+        TypeAnnotation::Virtual(ann) => {
             result.extend(get_type_var_contained_in_type_annotation(ann.as_ref()));
         }
         TypeAnnotation::CustomClass { params, .. } => {
@@ -605,8 +630,7 @@ pub fn check_overload_type_annotation_compatible(
 
             a == b
         }
-        (TypeAnnotation::Virtual(a), TypeAnnotation::Virtual(b))
-        | (TypeAnnotation::List(a), TypeAnnotation::List(b)) => {
+        (TypeAnnotation::Virtual(a), TypeAnnotation::Virtual(b)) => {
             check_overload_type_annotation_compatible(a.as_ref(), b.as_ref(), unifier)
         }
 

nac3core/src/typecheck/function_check.rs

@@ -1,13 +1,19 @@
-use crate::typecheck::typedef::TypeEnum;
+use std::{
+    collections::{HashMap, HashSet},
+    iter::once,
+};
 
-use super::type_inferencer::Inferencer;
-use super::typedef::Type;
 use nac3parser::ast::{
     self, Constant, Expr, ExprKind,
     Operator::{LShift, RShift},
     Stmt, StmtKind, StrRef,
 };
-use std::{collections::HashSet, iter::once};
+
+use super::{
+    type_inferencer::{IdentifierInfo, Inferencer},
+    typedef::{Type, TypeEnum},
+};
+use crate::toplevel::helper::PrimDef;
 
 impl<'a> Inferencer<'a> {
     fn should_have_value(&mut self, expr: &Expr<Option<Type>>) -> Result<(), HashSet<String>> {
@@ -21,26 +27,31 @@ impl<'a> Inferencer<'a> {
     fn check_pattern(
         &mut self,
         pattern: &Expr<Option<Type>>,
-        defined_identifiers: &mut HashSet<StrRef>,
+        defined_identifiers: &mut HashMap<StrRef, IdentifierInfo>,
     ) -> Result<(), HashSet<String>> {
         match &pattern.node {
             ExprKind::Name { id, .. } if id == &"none".into() => {
                 Err(HashSet::from([format!("cannot assign to a `none` (at {})", pattern.location)]))
             }
             ExprKind::Name { id, .. } => {
-                if !defined_identifiers.contains(id) {
-                    defined_identifiers.insert(*id);
+                if !defined_identifiers.contains_key(id) {
+                    defined_identifiers.insert(*id, IdentifierInfo::default());
                 }
                 self.should_have_value(pattern)?;
                 Ok(())
             }
-            ExprKind::Tuple { elts, .. } => {
+            ExprKind::List { elts, .. } | ExprKind::Tuple { elts, .. } => {
                 for elt in elts {
                     self.check_pattern(elt, defined_identifiers)?;
                     self.should_have_value(elt)?;
                 }
                 Ok(())
             }
+            ExprKind::Starred { value, .. } => {
+                self.check_pattern(value, defined_identifiers)?;
+                self.should_have_value(value)?;
+                Ok(())
+            }
             ExprKind::Subscript { value, slice, .. } => {
                 self.check_expr(value, defined_identifiers)?;
                 self.should_have_value(value)?;
@@ -64,11 +75,12 @@ impl<'a> Inferencer<'a> {
     fn check_expr(
         &mut self,
         expr: &Expr<Option<Type>>,
-        defined_identifiers: &mut HashSet<StrRef>,
+        defined_identifiers: &mut HashMap<StrRef, IdentifierInfo>,
     ) -> Result<(), HashSet<String>> {
         // there are some cases where the custom field is None
         if let Some(ty) = &expr.custom {
             if !matches!(&expr.node, ExprKind::Constant { value: Constant::Ellipsis, .. })
+                && !ty.obj_id(self.unifier).is_some_and(|id| id == PrimDef::List.id())
                 && !self.unifier.is_concrete(*ty, &self.function_data.bound_variables)
             {
                 return Err(HashSet::from([format!(
@@ -84,7 +96,7 @@ impl<'a> Inferencer<'a> {
                     return Ok(());
                 }
                 self.should_have_value(expr)?;
-                if !defined_identifiers.contains(id) {
+                if !defined_identifiers.contains_key(id) {
                     match self.function_data.resolver.get_symbol_type(
                         self.unifier,
                         &self.top_level.definitions.read(),
@@ -92,7 +104,7 @@ impl<'a> Inferencer<'a> {
                         *id,
                     ) {
                         Ok(_) => {
-                            self.defined_identifiers.insert(*id);
+                            self.defined_identifiers.insert(*id, IdentifierInfo::default());
                         }
                         Err(e) => {
                             return Err(HashSet::from([format!(
@@ -165,9 +177,7 @@ impl<'a> Inferencer<'a> {
                 let mut defined_identifiers = defined_identifiers.clone();
                 for arg in &args.args {
                     // TODO: should we check the types here?
-                    if !defined_identifiers.contains(&arg.node.arg) {
-                        defined_identifiers.insert(arg.node.arg);
-                    }
+                    defined_identifiers.entry(arg.node.arg).or_default();
                 }
                 self.check_expr(body, &mut defined_identifiers)?;
             }
@@ -206,19 +216,23 @@ impl<'a> Inferencer<'a> {
     /// This is a workaround preventing the caller from using a variable `alloca`-ed in the body, which
     /// is freed when the function returns.
     fn check_return_value_ty(&mut self, ret_ty: Type) -> bool {
-        match &*self.unifier.get_ty_immutable(ret_ty) {
-            TypeEnum::TObj { .. } => [
-                self.primitives.int32,
-                self.primitives.int64,
-                self.primitives.uint32,
-                self.primitives.uint64,
-                self.primitives.float,
-                self.primitives.bool,
-            ]
-            .iter()
-            .any(|allowed_ty| self.unifier.unioned(ret_ty, *allowed_ty)),
-            TypeEnum::TTuple { ty } => ty.iter().all(|t| self.check_return_value_ty(*t)),
-            _ => false,
+        if cfg!(feature = "no-escape-analysis") {
+            true
+        } else {
+            match &*self.unifier.get_ty_immutable(ret_ty) {
+                TypeEnum::TObj { .. } => [
+                    self.primitives.int32,
+                    self.primitives.int64,
+                    self.primitives.uint32,
+                    self.primitives.uint64,
+                    self.primitives.float,
+                    self.primitives.bool,
+                ]
+                .iter()
+                .any(|allowed_ty| self.unifier.unioned(ret_ty, *allowed_ty)),
+                TypeEnum::TTuple { ty, .. } => ty.iter().all(|t| self.check_return_value_ty(*t)),
+                _ => false,
+            }
         }
     }
 
@@ -226,7 +240,7 @@ impl<'a> Inferencer<'a> {
     fn check_stmt(
         &mut self,
         stmt: &Stmt<Option<Type>>,
-        defined_identifiers: &mut HashSet<StrRef>,
+        defined_identifiers: &mut HashMap<StrRef, IdentifierInfo>,
     ) -> Result<bool, HashSet<String>> {
         match &stmt.node {
             StmtKind::For { target, iter, body, orelse, .. } => {
@@ -252,9 +266,11 @@ impl<'a> Inferencer<'a> {
                 let body_returned = self.check_block(body, &mut body_identifiers)?;
                 let orelse_returned = self.check_block(orelse, &mut orelse_identifiers)?;
 
-                for ident in &body_identifiers {
-                    if !defined_identifiers.contains(ident) && orelse_identifiers.contains(ident) {
-                        defined_identifiers.insert(*ident);
+                for ident in body_identifiers.keys() {
+                    if !defined_identifiers.contains_key(ident)
+                        && orelse_identifiers.contains_key(ident)
+                    {
+                        defined_identifiers.insert(*ident, IdentifierInfo::default());
                     }
                 }
                 Ok(body_returned && orelse_returned)
@@ -285,7 +301,7 @@ impl<'a> Inferencer<'a> {
                     let mut defined_identifiers = defined_identifiers.clone();
                     let ast::ExcepthandlerKind::ExceptHandler { name, body, .. } = &handler.node;
                     if let Some(name) = name {
-                        defined_identifiers.insert(*name);
+                        defined_identifiers.insert(*name, IdentifierInfo::default());
                     }
                     self.check_block(body, &mut defined_identifiers)?;
                 }
@@ -349,6 +365,40 @@ impl<'a> Inferencer<'a> {
                 }
                 Ok(true)
             }
+            StmtKind::Global { names, .. } => {
+                for id in names {
+                    if let Some(id_info) = defined_identifiers.get(id) {
+                        if !id_info.is_global {
+                            return Err(HashSet::from([format!(
+                                "name '{id}' is assigned to before global declaration at {}",
+                                stmt.location,
+                            )]));
+                        }
+
+                        continue;
+                    }
+
+                    match self.function_data.resolver.get_symbol_type(
+                        self.unifier,
+                        &self.top_level.definitions.read(),
+                        self.primitives,
+                        *id,
+                    ) {
+                        Ok(_) => {
+                            self.defined_identifiers
+                                .insert(*id, IdentifierInfo { is_global: true });
+                        }
+                        Err(e) => {
+                            return Err(HashSet::from([format!(
+                                "type error at identifier `{}` ({}) at {}",
+                                id, e, stmt.location
+                            )]))
+                        }
+                    }
+                }
+
+                Ok(false)
+            }
             // break, raise, etc.
             _ => Ok(false),
         }
@@ -357,7 +407,7 @@ impl<'a> Inferencer<'a> {
     pub fn check_block(
         &mut self,
         block: &[Stmt<Option<Type>>],
-        defined_identifiers: &mut HashSet<StrRef>,
+        defined_identifiers: &mut HashMap<StrRef, IdentifierInfo>,
     ) -> Result<bool, HashSet<String>> {
         let mut ret = false;
         for stmt in block {

nac3core/src/typecheck/magic_methods.rs

@@ -1,79 +1,154 @@
-use crate::symbol_resolver::SymbolValue;
-use crate::toplevel::helper::PrimDef;
-use crate::toplevel::numpy::{make_ndarray_ty, unpack_ndarray_var_tys};
-use crate::typecheck::{
-    type_inferencer::*,
-    typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier, VarMap},
-};
-use itertools::Itertools;
-use nac3parser::ast::StrRef;
-use nac3parser::ast::{Cmpop, Operator, Unaryop};
-use std::cmp::max;
-use std::collections::HashMap;
-use std::rc::Rc;
+use std::{cmp::max, collections::HashMap, rc::Rc};
+
+use itertools::{iproduct, Itertools};
 use strum::IntoEnumIterator;
 
-#[must_use]
-pub fn binop_name(op: Operator) -> &'static str {
-    match op {
-        Operator::Add => "__add__",
-        Operator::Sub => "__sub__",
-        Operator::Div => "__truediv__",
-        Operator::Mod => "__mod__",
-        Operator::Mult => "__mul__",
-        Operator::Pow => "__pow__",
-        Operator::BitOr => "__or__",
-        Operator::BitXor => "__xor__",
-        Operator::BitAnd => "__and__",
-        Operator::LShift => "__lshift__",
-        Operator::RShift => "__rshift__",
-        Operator::FloorDiv => "__floordiv__",
-        Operator::MatMult => "__matmul__",
+use nac3parser::ast::{Cmpop, Operator, StrRef, Unaryop};
+
+use crate::{
+    symbol_resolver::SymbolValue,
+    toplevel::{
+        helper::PrimDef,
+        numpy::{make_ndarray_ty, unpack_ndarray_var_tys},
+    },
+    typecheck::{
+        type_inferencer::*,
+        typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier, VarMap},
+    },
+};
+
+/// The variant of a binary operator.
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+pub enum BinopVariant {
+    /// The normal variant.
+    /// For addition, it would be `+`.
+    Normal,
+    /// The "Augmented Assigning Operator" variant.
+    /// For addition, it would be `+=`.
+    AugAssign,
+}
+
+/// A binary operator with its variant.
+#[derive(Debug, Clone, Copy)]
+pub struct Binop {
+    /// The base [`Operator`] of this binary operator.
+    pub base: Operator,
+    /// The variant of this binary operator.
+    pub variant: BinopVariant,
+}
+
+impl Binop {
+    /// Make a [`Binop`] of the normal variant from an [`Operator`].
+    #[must_use]
+    pub fn normal(base: Operator) -> Self {
+        Binop { base, variant: BinopVariant::Normal }
+    }
+
+    /// Make a [`Binop`] of the aug assign variant from an [`Operator`].
+    #[must_use]
+    pub fn aug_assign(base: Operator) -> Self {
+        Binop { base, variant: BinopVariant::AugAssign }
     }
 }
 
-#[must_use]
-pub fn binop_assign_name(op: Operator) -> &'static str {
-    match op {
-        Operator::Add => "__iadd__",
-        Operator::Sub => "__isub__",
-        Operator::Div => "__itruediv__",
-        Operator::Mod => "__imod__",
-        Operator::Mult => "__imul__",
-        Operator::Pow => "__ipow__",
-        Operator::BitOr => "__ior__",
-        Operator::BitXor => "__ixor__",
-        Operator::BitAnd => "__iand__",
-        Operator::LShift => "__ilshift__",
-        Operator::RShift => "__irshift__",
-        Operator::FloorDiv => "__ifloordiv__",
-        Operator::MatMult => "__imatmul__",
-    }
+/// Details about an operator (unary, binary, etc...) in Python
+#[derive(Debug, Clone, Copy)]
+pub struct OpInfo {
+    /// The method name of the binary operator.
+    /// For addition, this would be `__add__`, and `__iadd__` if
+    /// it is the augmented assigning variant.
+    pub method_name: &'static str,
+    /// The symbol of the binary operator.
+    /// For addition, this would be `+`, and `+=` if
+    /// it is the augmented assigning variant.
+    pub symbol: &'static str,
 }
 
-#[must_use]
-pub fn unaryop_name(op: Unaryop) -> &'static str {
-    match op {
-        Unaryop::UAdd => "__pos__",
-        Unaryop::USub => "__neg__",
-        Unaryop::Not => "__not__",
-        Unaryop::Invert => "__inv__",
-    }
+/// Helper macro to conveniently build an [`OpInfo`].
+///
+/// Example usage: `make_info("add", "+")` generates `OpInfo { name: "__add__", symbol: "+" }`
+macro_rules! make_op_info {
+    ($name:expr, $symbol:expr) => {
+        OpInfo { method_name: concat!("__", $name, "__"), symbol: $symbol }
+    };
 }
 
-#[must_use]
-pub fn comparison_name(op: Cmpop) -> Option<&'static str> {
+pub trait HasOpInfo {
+    fn op_info(&self) -> OpInfo;
+}
+
+fn try_get_cmpop_info(op: Cmpop) -> Option<OpInfo> {
     match op {
-        Cmpop::Lt => Some("__lt__"),
-        Cmpop::LtE => Some("__le__"),
-        Cmpop::Gt => Some("__gt__"),
-        Cmpop::GtE => Some("__ge__"),
-        Cmpop::Eq => Some("__eq__"),
-        Cmpop::NotEq => Some("__ne__"),
+        Cmpop::Lt => Some(make_op_info!("lt", "<")),
+        Cmpop::LtE => Some(make_op_info!("le", "<=")),
+        Cmpop::Gt => Some(make_op_info!("gt", ">")),
+        Cmpop::GtE => Some(make_op_info!("ge", ">=")),
+        Cmpop::Eq => Some(make_op_info!("eq", "==")),
+        Cmpop::NotEq => Some(make_op_info!("ne", "!=")),
         _ => None,
     }
 }
 
+impl OpInfo {
+    #[must_use]
+    pub fn supports_cmpop(op: Cmpop) -> bool {
+        try_get_cmpop_info(op).is_some()
+    }
+}
+
+impl HasOpInfo for Cmpop {
+    fn op_info(&self) -> OpInfo {
+        try_get_cmpop_info(*self).expect("{self:?} is not supported")
+    }
+}
+
+impl HasOpInfo for Binop {
+    fn op_info(&self) -> OpInfo {
+        // Helper macro to generate both the normal variant [`OpInfo`] and the
+        // augmented assigning variant [`OpInfo`] for a binary operator conveniently.
+        macro_rules! info {
+            ($name:literal, $symbol:literal) => {
+                (
+                    make_op_info!($name, $symbol),
+                    make_op_info!(concat!("i", $name), concat!($symbol, "=")),
+                )
+            };
+        }
+
+        let (normal_variant, aug_assign_variant) = match self.base {
+            Operator::Add => info!("add", "+"),
+            Operator::Sub => info!("sub", "-"),
+            Operator::Div => info!("truediv", "/"),
+            Operator::Mod => info!("mod", "%"),
+            Operator::Mult => info!("mul", "*"),
+            Operator::Pow => info!("pow", "**"),
+            Operator::BitOr => info!("or", "|"),
+            Operator::BitXor => info!("xor", "^"),
+            Operator::BitAnd => info!("and", "&"),
+            Operator::LShift => info!("lshift", "<<"),
+            Operator::RShift => info!("rshift", ">>"),
+            Operator::FloorDiv => info!("floordiv", "//"),
+            Operator::MatMult => info!("matmul", "@"),
+        };
+
+        match self.variant {
+            BinopVariant::Normal => normal_variant,
+            BinopVariant::AugAssign => aug_assign_variant,
+        }
+    }
+}
+
+impl HasOpInfo for Unaryop {
+    fn op_info(&self) -> OpInfo {
+        match self {
+            Unaryop::UAdd => make_op_info!("pos", "+"),
+            Unaryop::USub => make_op_info!("neg", "-"),
+            Unaryop::Not => make_op_info!("not", "not"), // i.e., `not False`, so the symbol is just `not`.
+            Unaryop::Invert => make_op_info!("inv", "~"),
+        }
+    }
+}
+
 pub(super) fn with_fields<F>(unifier: &mut Unifier, ty: Type, f: F)
 where
     F: FnOnce(&mut Unifier, &mut HashMap<StrRef, (Type, bool)>),
@@ -115,23 +190,9 @@ pub fn impl_binop(
 
         let ret_ty = ret_ty.unwrap_or_else(|| unifier.get_fresh_var(None, None).ty);
 
-        for op in ops {
-            fields.insert(binop_name(*op).into(), {
-                (
-                    unifier.add_ty(TypeEnum::TFunc(FunSignature {
-                        ret: ret_ty,
-                        vars: function_vars.clone(),
-                        args: vec![FuncArg {
-                            ty: other_ty,
-                            default_value: None,
-                            name: "other".into(),
-                        }],
-                    })),
-                    false,
-                )
-            });
-
-            fields.insert(binop_assign_name(*op).into(), {
+        for (base_op, variant) in iproduct!(ops, [BinopVariant::Normal, BinopVariant::AugAssign]) {
+            let op = Binop { base: *base_op, variant };
+            fields.insert(op.op_info().method_name.into(), {
                 (
                     unifier.add_ty(TypeEnum::TFunc(FunSignature {
                         ret: ret_ty,
@@ -140,6 +201,7 @@ pub fn impl_binop(
                             ty: other_ty,
                             default_value: None,
                             name: "other".into(),
+                            is_vararg: false,
                         }],
                     })),
                     false,
@@ -155,7 +217,7 @@ pub fn impl_unaryop(unifier: &mut Unifier, ty: Type, ret_ty: Option<Type>, ops:
 
         for op in ops {
             fields.insert(
-                unaryop_name(*op).into(),
+                op.op_info().method_name.into(),
                 (
                     unifier.add_ty(TypeEnum::TFunc(FunSignature {
                         ret: ret_ty,
@@ -195,7 +257,7 @@ pub fn impl_cmpop(
 
         for op in ops {
             fields.insert(
-                comparison_name(*op).unwrap().into(),
+                op.op_info().method_name.into(),
                 (
                     unifier.add_ty(TypeEnum::TFunc(FunSignature {
                         ret: ret_ty,
@@ -204,6 +266,7 @@ pub fn impl_cmpop(
                             ty: other_ty,
                             default_value: None,
                             name: "other".into(),
+                            is_vararg: false,
                         }],
                     })),
                     false,
@@ -429,12 +492,29 @@ pub fn typeof_binop(
     lhs: Type,
     rhs: Type,
 ) -> Result<Option<Type>, String> {
+    let op = Binop { base: op, variant: BinopVariant::Normal };
+
+    let is_left_list = lhs.obj_id(unifier).is_some_and(|id| id == PrimDef::List.id());
+    let is_right_list = rhs.obj_id(unifier).is_some_and(|id| id == PrimDef::List.id());
     let is_left_ndarray = lhs.obj_id(unifier).is_some_and(|id| id == PrimDef::NDArray.id());
     let is_right_ndarray = rhs.obj_id(unifier).is_some_and(|id| id == PrimDef::NDArray.id());
 
-    Ok(Some(match op {
+    Ok(Some(match op.base {
         Operator::Add | Operator::Sub | Operator::Mult | Operator::Mod | Operator::FloorDiv => {
-            if is_left_ndarray || is_right_ndarray {
+            if is_left_list || is_right_list {
+                if ![Operator::Add, Operator::Mult].contains(&op.base) {
+                    return Err(format!(
+                        "Binary operator {} not supported for list",
+                        op.op_info().symbol
+                    ));
+                }
+
+                if is_left_list {
+                    lhs
+                } else {
+                    rhs
+                }
+            } else if is_left_ndarray || is_right_ndarray {
                 typeof_ndarray_broadcast(unifier, primitives, lhs, rhs)?
             } else if unifier.unioned(lhs, rhs) {
                 lhs
@@ -444,6 +524,23 @@ pub fn typeof_binop(
         }
 
         Operator::MatMult => {
+            // NOTE: NumPy matmul's LHS and RHS must both be ndarrays. Scalars are not allowed.
+            match (&*unifier.get_ty(lhs), &*unifier.get_ty(rhs)) {
+                (
+                    TypeEnum::TObj { obj_id: lhs_obj_id, .. },
+                    TypeEnum::TObj { obj_id: rhs_obj_id, .. },
+                ) if *lhs_obj_id == primitives.ndarray.obj_id(unifier).unwrap()
+                    && *rhs_obj_id == primitives.ndarray.obj_id(unifier).unwrap() =>
+                {
+                    // LHS and RHS have valid types
+                }
+                _ => {
+                    let lhs_str = unifier.stringify(lhs);
+                    let rhs_str = unifier.stringify(rhs);
+                    return Err(format!("ndarray.__matmul__ only accepts ndarray operands, but left operand has type {lhs_str}, and right operand has type {rhs_str}"));
+                }
+            }
+
             let (_, lhs_ndims) = unpack_ndarray_var_tys(unifier, lhs);
             let lhs_ndims = match &*unifier.get_ty_immutable(lhs_ndims) {
                 TypeEnum::TLiteral { values, .. } => {
@@ -604,6 +701,8 @@ pub fn set_primitives_magic_methods(store: &PrimitiveStore, unifier: &mut Unifie
         bool: bool_t,
         uint32: uint32_t,
         uint64: uint64_t,
+        str: str_t,
+        list: list_t,
         ndarray: ndarray_t,
         ..
     } = *store;
@@ -648,6 +747,14 @@ pub fn set_primitives_magic_methods(store: &PrimitiveStore, unifier: &mut Unifie
     impl_sign(unifier, store, bool_t, Some(int32_t));
     impl_eq(unifier, store, bool_t, &[bool_t, ndarray_bool_t], None);
 
+    /* str ========= */
+    impl_cmpop(unifier, store, str_t, &[str_t], &[Cmpop::Eq, Cmpop::NotEq], Some(bool_t));
+
+    /* list ======== */
+    impl_binop(unifier, store, list_t, &[list_t], Some(list_t), &[Operator::Add]);
+    impl_binop(unifier, store, list_t, &[int32_t, int64_t], Some(list_t), &[Operator::Mult]);
+    impl_cmpop(unifier, store, list_t, &[list_t], &[Cmpop::Eq, Cmpop::NotEq], Some(bool_t));
+
     /* ndarray ===== */
     let ndarray_usized_ndims_tvar =
         unifier.get_fresh_const_generic_var(size_t, Some("ndarray_ndims".into()), None);

nac3core/src/typecheck/type_error.rs

@@ -1,24 +1,46 @@
-use std::collections::HashMap;
-use std::fmt::Display;
+use std::{collections::HashMap, fmt::Display};
 
-use crate::typecheck::typedef::TypeEnum;
+use itertools::Itertools;
 
-use super::typedef::{RecordKey, Type, Unifier};
-use nac3parser::ast::{Location, StrRef};
+use nac3parser::ast::{Cmpop, Location, StrRef};
+
+use super::{
+    magic_methods::Binop,
+    typedef::{RecordKey, Type, Unifier},
+};
+use crate::typecheck::{magic_methods::HasOpInfo, typedef::TypeEnum};
 
 #[derive(Debug, Clone)]
 pub enum TypeErrorKind {
-    TooManyArguments {
-        expected: usize,
-        got: usize,
+    GotMultipleValues {
+        name: StrRef,
+    },
+    TooManyArguments {
+        expected_min_count: usize,
+        expected_max_count: usize,
+        got_count: usize,
+    },
+    MissingArgs {
+        missing_arg_names: Vec<StrRef>,
     },
-    MissingArgs(String),
     UnknownArgName(StrRef),
     IncorrectArgType {
         name: StrRef,
         expected: Type,
         got: Type,
     },
+    UnsupportedBinaryOpTypes {
+        operator: Binop,
+        lhs_type: Type,
+        rhs_type: Type,
+        expected_rhs_type: Type,
+    },
+    UnsupportedComparsionOpTypes {
+        operator: Cmpop,
+        lhs_type: Type,
+        rhs_type: Type,
+        expected_rhs_type: Type,
+    },
     FieldUnificationError {
         field: RecordKey,
         types: (Type, Type),
@@ -34,6 +56,7 @@ pub enum TypeErrorKind {
     },
     RequiresTypeAnn,
     PolymorphicFunctionPointer,
+    NoSuchAttribute(RecordKey, Type),
 }
 
 #[derive(Debug, Clone)]
@@ -77,19 +100,49 @@ impl<'a> Display for DisplayTypeError<'a> {
         use TypeErrorKind::*;
         let mut notes = Some(HashMap::new());
         match &self.err.kind {
-            TooManyArguments { expected, got } => {
-                write!(f, "Too many arguments. Expected {expected} but got {got}")
+            GotMultipleValues { name } => {
+                write!(f, "For multiple values for parameter {name}")
             }
-            MissingArgs(args) => {
+            TooManyArguments { expected_min_count, expected_max_count, got_count } => {
+                debug_assert!(expected_min_count <= expected_max_count);
+                if expected_min_count == expected_max_count {
+                    let expected_count = expected_min_count; // or expected_max_count
+                    write!(f, "Too many arguments. Expected {expected_count} but got {got_count}")
+                } else {
+                    write!(f, "Too many arguments. Expected {expected_min_count} to {expected_max_count} arguments but got {got_count}")
+                }
+            }
+            MissingArgs { missing_arg_names } => {
+                let args = missing_arg_names.iter().join(", ");
                 write!(f, "Missing arguments: {args}")
             }
+            UnsupportedBinaryOpTypes { operator, lhs_type, rhs_type, expected_rhs_type } => {
+                let op_symbol = operator.op_info().symbol;
+
+                let lhs_type_str = self.unifier.stringify_with_notes(*lhs_type, &mut notes);
+                let rhs_type_str = self.unifier.stringify_with_notes(*rhs_type, &mut notes);
+                let expected_rhs_type_str =
+                    self.unifier.stringify_with_notes(*expected_rhs_type, &mut notes);
+
+                write!(f, "Unsupported operand type(s) for {op_symbol}: '{lhs_type_str}' and '{rhs_type_str}' (right operand should have type {expected_rhs_type_str})")
+            }
+            UnsupportedComparsionOpTypes { operator, lhs_type, rhs_type, expected_rhs_type } => {
+                let op_symbol = operator.op_info().symbol;
+
+                let lhs_type_str = self.unifier.stringify_with_notes(*lhs_type, &mut notes);
+                let rhs_type_str = self.unifier.stringify_with_notes(*rhs_type, &mut notes);
+                let expected_rhs_type_str =
+                    self.unifier.stringify_with_notes(*expected_rhs_type, &mut notes);
+
+                write!(f, "'{op_symbol}' not supported between instances of '{lhs_type_str}' and '{rhs_type_str}' (right operand should have type {expected_rhs_type_str})")
+            }
             UnknownArgName(name) => {
                 write!(f, "Unknown argument name: {name}")
             }
             IncorrectArgType { name, expected, got } => {
                 let expected = self.unifier.stringify_with_notes(*expected, &mut notes);
                 let got = self.unifier.stringify_with_notes(*got, &mut notes);
-                write!(f, "Incorrect argument type for {name}. Expected {expected}, but got {got}")
+                write!(f, "Incorrect argument type for parameter {name}. Expected {expected}, but got {got}")
             }
             FieldUnificationError { field, types, loc } => {
                 let lhs = self.unifier.stringify_with_notes(types.0, &mut notes);
@@ -130,9 +183,10 @@ impl<'a> Display for DisplayTypeError<'a> {
                         }
                         result
                     }
-                    (TypeEnum::TTuple { ty: ty1 }, TypeEnum::TTuple { ty: ty2 })
-                        if ty1.len() != ty2.len() =>
-                    {
+                    (
+                        TypeEnum::TTuple { ty: ty1, is_vararg_ctx: is_vararg1 },
+                        TypeEnum::TTuple { ty: ty2, is_vararg_ctx: is_vararg2 },
+                    ) if !is_vararg1 && !is_vararg2 && ty1.len() != ty2.len() => {
                         let t1 = self.unifier.stringify_with_notes(*t1, &mut notes);
                         let t2 = self.unifier.stringify_with_notes(*t2, &mut notes);
                         write!(f, "Tuple length mismatch: got {t1} and {t2}")
@@ -156,6 +210,10 @@ impl<'a> Display for DisplayTypeError<'a> {
                 let t = self.unifier.stringify_with_notes(*t, &mut notes);
                 write!(f, "`{t}::{name}` field/method does not exist")
             }
+            NoSuchAttribute(name, t) => {
+                let t = self.unifier.stringify_with_notes(*t, &mut notes);
+                write!(f, "`{t}::{name}` is not a class attribute")
+            }
             TupleIndexOutOfBounds { index, len } => {
                 write!(
                     f,

nac3core/src/typecheck/type_inferencer/test.rs

@@ -1,18 +1,20 @@
-use super::super::{magic_methods::with_fields, typedef::*};
-use super::*;
-use crate::{
-    codegen::CodeGenContext,
-    symbol_resolver::ValueEnum,
-    toplevel::{helper::PrimDef, DefinitionId, TopLevelDef},
-};
+use std::iter::zip;
+
 use indexmap::IndexMap;
 use indoc::indoc;
-use nac3parser::ast::FileName;
-use nac3parser::parser::parse_program;
 use parking_lot::RwLock;
-use std::iter::zip;
 use test_case::test_case;
 
+use nac3parser::{ast::FileName, parser::parse_program};
+
+use super::*;
+use crate::{
+    codegen::{CodeGenContext, CodeGenerator},
+    symbol_resolver::ValueEnum,
+    toplevel::{helper::PrimDef, DefinitionId, TopLevelDef},
+    typecheck::{magic_methods::with_fields, typedef::*},
+};
+
 struct Resolver {
     id_to_type: HashMap<StrRef, Type>,
     id_to_def: HashMap<StrRef, DefinitionId>,
@@ -41,6 +43,7 @@ impl SymbolResolver for Resolver {
         &self,
         _: StrRef,
         _: &mut CodeGenContext<'ctx, '_>,
+        _: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
         unimplemented!()
     }
@@ -83,7 +86,12 @@ impl TestEnvironment {
         });
         with_fields(&mut unifier, int32, |unifier, fields| {
             let add_ty = unifier.add_ty(TypeEnum::TFunc(FunSignature {
-                args: vec![FuncArg { name: "other".into(), ty: int32, default_value: None }],
+                args: vec![FuncArg {
+                    name: "other".into(),
+                    ty: int32,
+                    default_value: None,
+                    is_vararg: false,
+                }],
                 ret: int32,
                 vars: VarMap::new(),
             }));
@@ -139,6 +147,12 @@ impl TestEnvironment {
             fields: HashMap::new(),
             params: VarMap::new(),
         });
+        let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+        let list = unifier.add_ty(TypeEnum::TObj {
+            obj_id: PrimDef::List.id(),
+            fields: HashMap::new(),
+            params: into_var_map([list_elem_tvar]),
+        });
         let ndarray_dtype_tvar = unifier.get_fresh_var(Some("ndarray_dtype".into()), None);
         let ndarray_ndims_tvar =
             unifier.get_fresh_const_generic_var(uint64, Some("ndarray_ndims".into()), None);
@@ -159,6 +173,7 @@ impl TestEnvironment {
             uint32,
             uint64,
             option,
+            list,
             ndarray,
             size_t: 64,
         };
@@ -217,7 +232,12 @@ impl TestEnvironment {
         });
         with_fields(&mut unifier, int32, |unifier, fields| {
             let add_ty = unifier.add_ty(TypeEnum::TFunc(FunSignature {
-                args: vec![FuncArg { name: "other".into(), ty: int32, default_value: None }],
+                args: vec![FuncArg {
+                    name: "other".into(),
+                    ty: int32,
+                    default_value: None,
+                    is_vararg: false,
+                }],
                 ret: int32,
                 vars: VarMap::new(),
             }));
@@ -273,15 +293,35 @@ impl TestEnvironment {
             fields: HashMap::new(),
             params: VarMap::new(),
         });
+        let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+        let list = unifier.add_ty(TypeEnum::TObj {
+            obj_id: PrimDef::List.id(),
+            fields: HashMap::new(),
+            params: into_var_map([list_elem_tvar]),
+        });
         let ndarray = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::NDArray.id(),
             fields: HashMap::new(),
             params: VarMap::new(),
         });
         identifier_mapping.insert("None".into(), none);
-        for (i, name) in ["int32", "int64", "float", "bool", "none", "range", "str", "Exception"]
-            .iter()
-            .enumerate()
+        for (i, name) in [
+            "int32",
+            "int64",
+            "float",
+            "bool",
+            "none",
+            "range",
+            "str",
+            "Exception",
+            "uint32",
+            "uint64",
+            "Option",
+            "list",
+            "ndarray",
+        ]
+        .iter()
+        .enumerate()
         {
             top_level_defs.push(
                 RwLock::new(TopLevelDef::Class {
@@ -289,6 +329,7 @@ impl TestEnvironment {
                     object_id: DefinitionId(i),
                     type_vars: Vec::default(),
                     fields: Vec::default(),
+                    attributes: Vec::default(),
                     methods: Vec::default(),
                     ancestors: Vec::default(),
                     resolver: None,
@@ -298,7 +339,7 @@ impl TestEnvironment {
                 .into(),
             );
         }
-        let defs = 7;
+        let defs = 12;
 
         let primitives = PrimitiveStore {
             int32,
@@ -312,6 +353,7 @@ impl TestEnvironment {
             uint32,
             uint64,
             option,
+            list,
             ndarray,
             size_t: 64,
         };
@@ -331,6 +373,7 @@ impl TestEnvironment {
                 object_id: DefinitionId(defs + 1),
                 type_vars: vec![tvar.ty],
                 fields: [("a".into(), tvar.ty, true)].into(),
+                attributes: Vec::default(),
                 methods: Vec::default(),
                 ancestors: Vec::default(),
                 resolver: None,
@@ -365,6 +408,7 @@ impl TestEnvironment {
                 object_id: DefinitionId(defs + 2),
                 type_vars: Vec::default(),
                 fields: [("a".into(), int32, true), ("b".into(), fun, true)].into(),
+                attributes: Vec::default(),
                 methods: Vec::default(),
                 ancestors: Vec::default(),
                 resolver: None,
@@ -393,6 +437,7 @@ impl TestEnvironment {
                 object_id: DefinitionId(defs + 3),
                 type_vars: Vec::default(),
                 fields: [("a".into(), bool, true), ("b".into(), fun, false)].into(),
+                attributes: Vec::default(),
                 methods: Vec::default(),
                 ancestors: Vec::default(),
                 resolver: None,
@@ -420,6 +465,11 @@ impl TestEnvironment {
             "range".into(),
             "str".into(),
             "exception".into(),
+            "uint32".into(),
+            "uint64".into(),
+            "option".into(),
+            "list".into(),
+            "ndarray".into(),
             "Foo".into(),
             "Bar".into(),
             "Bar2".into(),
@@ -470,7 +520,7 @@ impl TestEnvironment {
             primitives: &mut self.primitives,
             virtual_checks: &mut self.virtual_checks,
             calls: &mut self.calls,
-            defined_identifiers: HashSet::default(),
+            defined_identifiers: HashMap::default(),
             in_handler: false,
         }
     }
@@ -546,8 +596,9 @@ fn test_basic(source: &str, mapping: &HashMap<&str, &str>, virtuals: &[(&str, &s
     println!("source:\n{source}");
     let mut env = TestEnvironment::new();
     let id_to_name = std::mem::take(&mut env.id_to_name);
-    let mut defined_identifiers: HashSet<_> = env.identifier_mapping.keys().copied().collect();
-    defined_identifiers.insert("virtual".into());
+    let mut defined_identifiers: HashMap<_, _> =
+        env.identifier_mapping.keys().copied().map(|id| (id, IdentifierInfo::default())).collect();
+    defined_identifiers.insert("virtual".into(), IdentifierInfo::default());
     let mut inferencer = env.get_inferencer();
     inferencer.defined_identifiers.clone_from(&defined_identifiers);
     let statements = parse_program(source, FileName::default()).unwrap();
@@ -692,8 +743,9 @@ fn test_primitive_magic_methods(source: &str, mapping: &HashMap<&str, &str>) {
     println!("source:\n{source}");
     let mut env = TestEnvironment::basic_test_env();
     let id_to_name = std::mem::take(&mut env.id_to_name);
-    let mut defined_identifiers: HashSet<_> = env.identifier_mapping.keys().copied().collect();
-    defined_identifiers.insert("virtual".into());
+    let mut defined_identifiers: HashMap<_, _> =
+        env.identifier_mapping.keys().copied().map(|id| (id, IdentifierInfo::default())).collect();
+    defined_identifiers.insert("virtual".into(), IdentifierInfo::default());
     let mut inferencer = env.get_inferencer();
     inferencer.defined_identifiers.clone_from(&defined_identifiers);
     let statements = parse_program(source, FileName::default()).unwrap();

nac3core/src/typecheck/typedef/mod.rs

@@ -1,20 +1,28 @@
+use std::{
+    borrow::Cow,
+    cell::RefCell,
+    collections::{HashMap, HashSet},
+    fmt::{self, Display},
+    iter::{repeat, zip},
+    rc::Rc,
+    sync::{Arc, Mutex},
+};
+
 use indexmap::IndexMap;
-use itertools::Itertools;
-use std::cell::RefCell;
-use std::collections::HashMap;
-use std::fmt::{self, Display};
-use std::iter::zip;
-use std::rc::Rc;
-use std::sync::{Arc, Mutex};
-use std::{borrow::Cow, collections::HashSet};
+use itertools::{repeat_n, Itertools};
 
-use nac3parser::ast::{Location, StrRef};
+use nac3parser::ast::{Cmpop, Location, StrRef, Unaryop};
 
-use super::type_error::{TypeError, TypeErrorKind};
-use super::unification_table::{UnificationKey, UnificationTable};
-use crate::symbol_resolver::SymbolValue;
-use crate::toplevel::{DefinitionId, TopLevelContext, TopLevelDef};
-use crate::typecheck::type_inferencer::PrimitiveStore;
+use super::{
+    magic_methods::{Binop, HasOpInfo},
+    type_error::{TypeError, TypeErrorKind},
+    unification_table::{UnificationKey, UnificationTable},
+};
+use crate::{
+    symbol_resolver::SymbolValue,
+    toplevel::{helper::PrimDef, DefinitionId, TopLevelContext, TopLevelDef},
+    typecheck::{magic_methods::OpInfo, type_inferencer::PrimitiveStore},
+};
 
 #[cfg(test)]
 mod test;
@@ -73,6 +81,28 @@ pub fn iter_type_vars(var_map: &VarMap) -> impl Iterator<Item = TypeVar> + '_ {
     var_map.iter().map(|(&id, &ty)| TypeVar { id, ty })
 }
 
+#[derive(Debug, Clone)]
+pub enum OperatorInfo {
+    /// The call was written as an unary operation, e.g., `~a` or `not a`.
+    IsUnaryOp {
+        /// The [`Type`] of the `self` object
+        self_type: Type,
+        operator: Unaryop,
+    },
+    /// The call was written as a binary operation, e.g., `a + b` or `a += b`.
+    IsBinaryOp {
+        /// The [`Type`] of the `self` object
+        self_type: Type,
+        operator: Binop,
+    },
+    /// The call was written as a binary comparison operation, e.g., `a < b`.
+    IsComparisonOp {
+        /// The [`Type`] of the `self` object
+        self_type: Type,
+        operator: Cmpop,
+    },
+}
+
 #[derive(Clone)]
 pub struct Call {
     pub posargs: Vec<Type>,
@@ -80,6 +110,9 @@ pub struct Call {
     pub ret: Type,
     pub fun: RefCell<Option<Type>>,
     pub loc: Option<Location>,
+
+    /// Details about the associated Python user operator expression of this call, if any.
+    pub operator_info: Option<OperatorInfo>,
 }
 
 #[derive(Debug, Clone)]
@@ -87,6 +120,14 @@ pub struct FuncArg {
     pub name: StrRef,
     pub ty: Type,
     pub default_value: Option<SymbolValue>,
+    pub is_vararg: bool,
+}
+
+impl FuncArg {
+    #[must_use]
+    pub fn is_required(&self) -> bool {
+        self.default_value.is_none()
+    }
 }
 
 #[derive(Debug, Clone)]
@@ -198,12 +239,12 @@ pub enum TypeEnum {
     TTuple {
         /// The types of elements present in this tuple.
         ty: Vec<Type>,
-    },
 
-    /// A list type.
-    TList {
-        /// The type of elements present in this list.
-        ty: Type,
+        /// Whether this tuple is used in a vararg context.
+        ///
+        /// If `true`, `ty` must only contain one type, and the tuple is assumed to contain any
+        /// number of `ty`-typed values.
+        is_vararg_ctx: bool,
     },
 
     /// An object type.
@@ -239,7 +280,6 @@ impl TypeEnum {
             TypeEnum::TVar { .. } => "TVar",
             TypeEnum::TLiteral { .. } => "TConstant",
             TypeEnum::TTuple { .. } => "TTuple",
-            TypeEnum::TList { .. } => "TList",
             TypeEnum::TObj { .. } => "TObj",
             TypeEnum::TVirtual { .. } => "TVirtual",
             TypeEnum::TCall { .. } => "TCall",
@@ -475,13 +515,31 @@ impl Unifier {
                     )
                 }
             }
-            TypeEnum::TList { ty } => self
-                .get_instantiations(*ty)
-                .map(|ty| ty.iter().map(|&ty| self.add_ty(TypeEnum::TList { ty })).collect_vec()),
+            TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+                let tv = iter_type_vars(params).nth(0).unwrap();
+
+                let tv_id = if let TypeEnum::TVar { id, .. } =
+                    self.unification_table.probe_value(tv.ty).as_ref()
+                {
+                    *id
+                } else {
+                    tv.id
+                };
+
+                self.get_instantiations(tv.ty).map(|ty_insts| {
+                    ty_insts
+                        .iter()
+                        .map(|&ty_inst| {
+                            self.subst(ty, &into_var_map([TypeVar { id: tv_id, ty: ty_inst }]))
+                                .unwrap_or(ty)
+                        })
+                        .collect()
+                })
+            }
             TypeEnum::TVirtual { ty } => self.get_instantiations(*ty).map(|ty| {
                 ty.iter().map(|&ty| self.add_ty(TypeEnum::TVirtual { ty })).collect_vec()
             }),
-            TypeEnum::TTuple { ty } => {
+            TypeEnum::TTuple { ty, is_vararg_ctx } => {
                 let tuples = ty
                     .iter()
                     .map(|ty| self.get_instantiations(*ty).unwrap_or_else(|| vec![*ty]))
@@ -491,7 +549,12 @@ impl Unifier {
                     None
                 } else {
                     Some(
-                        tuples.into_iter().map(|ty| self.add_ty(TypeEnum::TTuple { ty })).collect(),
+                        tuples
+                            .into_iter()
+                            .map(|ty| {
+                                self.add_ty(TypeEnum::TTuple { ty, is_vararg_ctx: *is_vararg_ctx })
+                            })
+                            .collect(),
                     )
                 }
             }
@@ -534,10 +597,8 @@ impl Unifier {
 
             TVar { .. } => allowed_typevars.iter().any(|b| self.unification_table.unioned(a, *b)),
             TCall { .. } => false,
-            TList { ty }
-            | TVirtual { ty } => self.is_concrete(*ty, allowed_typevars),
-
-            TTuple { ty } => ty.iter().all(|ty| self.is_concrete(*ty, allowed_typevars)),
+            TVirtual { ty } => self.is_concrete(*ty, allowed_typevars),
+            TTuple { ty, .. } => ty.iter().all(|ty| self.is_concrete(*ty, allowed_typevars)),
             TObj { params: vars, .. } => {
                 vars.values().all(|ty| self.is_concrete(*ty, allowed_typevars))
             }
@@ -562,69 +623,243 @@ impl Unifier {
         call: &Call,
         b: Type,
         signature: &FunSignature,
-        required: &[StrRef],
     ) -> Result<(), TypeError> {
+        /*
+            NOTE: scenarios to consider:
+
+            ```python
+            def func1(x: int32, y: int32, z: int32 = 5): pass
+
+            # Normal scenarios
+            func1(23, 45) # OK, z has default
+            func1(23, 45, 67) # OK, z's default is overwritten
+            func1(x = 23, y = 45) # OK, user is using kwargs to set positional args
+            func1(y = 45, x = 23) # OK, kwargs order doesn't matter
+
+            # Error scenarios
+            func1() # ERROR: Missing arguments: x, y
+            func1(23) # ERROR: Missing arguments: y
+            func1(z = 23) # ERROR: Missing arguments: x, y
+            func1(x = 23) # ERROR: Missing arguments: y
+            func1(23, 45, x = 5) # ERROR: Got multiple values for x
+            func1(23, 45, x = 5, y = 6) # ERROR: Got multiple values for x (y too but Python does not report it)
+            func1(23, 45, 67, z = 89) # ERROR: Got multiple values for z
+            func1(23, 45, 67, 89) # ERROR: Function only takes from 2 to 3 positional arguments but 4 were given.
+            func1(23, 45, 67, w = 3) # ERROR: Got an unexpected keyword argument 'w'
+
+            # Error scenarios that do not need to be handled here.
+            func1(23, 45, z = 67, z = 89) # ERROR: Keyword argument repeated: z, the parser panics on this.
+            ```
+        */
+
+        struct ParamInfo<'a> {
+            /// Has this parameter been supplied with an argument already?
+            has_been_supplied: bool,
+            /// The corresponding [`FuncArg`] instance of this parameter (for fast table lookups)
+            param: &'a FuncArg,
+        }
+
         let snapshot = self.unification_table.get_snapshot();
         if self.snapshot.is_none() {
             self.snapshot = Some(snapshot);
         }
 
-        let Call { posargs, kwargs, ret, fun, loc } = call;
-        let instantiated = self.instantiate_fun(b, signature);
-        let r = self.get_ty(instantiated);
-        let r = r.as_ref();
-        let TypeEnum::TFunc(signature) = r else { unreachable!() };
-        // we check to make sure that all required arguments (those without default
-        // arguments) are provided, and do not provide the same argument twice.
-        let mut required = required.to_vec();
-        let mut all_names: Vec<_> = signature.args.iter().map(|v| (v.name, v.ty)).rev().collect();
-        for (i, t) in posargs.iter().enumerate() {
-            if signature.args.len() <= i {
-                self.restore_snapshot();
-                return Err(TypeError::new(
-                    TypeErrorKind::TooManyArguments {
-                        expected: signature.args.len(),
-                        got: posargs.len() + kwargs.len(),
-                    },
-                    *loc,
-                ));
+        // Get details about the function signature/parameters.
+        let num_params = signature.args.len();
+        let is_vararg = signature.args.iter().any(|arg| arg.is_vararg);
+
+        // Force the type vars in `b` and `signature' to be up-to-date.
+        let b = self.instantiate_fun(b, signature);
+        let TypeEnum::TFunc(signature) = &*self.get_ty(b) else { unreachable!() };
+
+        // Get details about the input arguments
+        let Call { posargs, kwargs, ret, fun, loc, operator_info } = call;
+        let num_args = posargs.len() + kwargs.len();
+
+        // Now we check the arguments against the parameters,
+        // and depending on what `call_info` is, we might change how `unify_call()` behaves
+        // to improve user error messages when type checking fails.
+        match operator_info {
+            Some(OperatorInfo::IsBinaryOp { self_type, operator }) => {
+                // The call is written in the form of (say) `a + b`.
+                // Technically, it is `a.__add__(b)`, and they have the following constraints:
+                assert_eq!(posargs.len(), 1);
+                assert_eq!(kwargs.len(), 0);
+                assert_eq!(num_params, 1);
+
+                let other_type = posargs[0]; // the second operand
+                let expected_other_type = signature.args[0].ty;
+
+                let ok = self.unify_impl(expected_other_type, other_type, false).is_ok();
+                if !ok {
+                    self.restore_snapshot();
+                    return Err(TypeError::new(
+                        TypeErrorKind::UnsupportedBinaryOpTypes {
+                            operator: *operator,
+                            lhs_type: *self_type,
+                            rhs_type: other_type,
+                            expected_rhs_type: expected_other_type,
+                        },
+                        *loc,
+                    ));
+                }
             }
-            required.pop();
-            let (name, expected) = all_names.pop().unwrap();
-            self.unify_impl(expected, *t, false).map_err(|_| {
-                self.restore_snapshot();
-                TypeError::new(TypeErrorKind::IncorrectArgType { name, expected, got: *t }, *loc)
-            })?;
-        }
-        for (k, t) in kwargs {
-            if let Some(i) = required.iter().position(|v| v == k) {
-                required.remove(i);
+            Some(OperatorInfo::IsComparisonOp { self_type, operator })
+                if OpInfo::supports_cmpop(*operator) // Otherwise that comparison operator is not supported.
+                =>
+            {
+                // The call is written in the form of (say) `a <= b`.
+                // Technically, it is `a.__le__(b)`, and they have the following constraints:
+                assert_eq!(posargs.len(), 1);
+                assert_eq!(kwargs.len(), 0);
+                assert_eq!(num_params, 1);
+
+                let other_type = posargs[0]; // the second operand
+                let expected_other_type = signature.args[0].ty;
+
+                let ok = self.unify_impl(expected_other_type, other_type, false).is_ok();
+                if !ok {
+                    self.restore_snapshot();
+                    return Err(TypeError::new(
+                        TypeErrorKind::UnsupportedComparsionOpTypes {
+                            operator: *operator,
+                            lhs_type: *self_type,
+                            rhs_type: other_type,
+                            expected_rhs_type: expected_other_type,
+                        },
+                        *loc,
+                    ));
+                }
             }
-            let i = all_names.iter().position(|v| &v.0 == k).ok_or_else(|| {
-                self.restore_snapshot();
-                TypeError::new(TypeErrorKind::UnknownArgName(*k), *loc)
-            })?;
-            let (name, expected) = all_names.remove(i);
-            self.unify_impl(expected, *t, false).map_err(|_| {
-                self.restore_snapshot();
-                TypeError::new(TypeErrorKind::IncorrectArgType { name, expected, got: *t }, *loc)
-            })?;
-        }
-        if !required.is_empty() {
-            self.restore_snapshot();
-            return Err(TypeError::new(
-                TypeErrorKind::MissingArgs(required.iter().join(", ")),
-                *loc,
-            ));
-        }
-        self.unify_impl(*ret, signature.ret, false).map_err(|mut err| {
-            self.restore_snapshot();
-            if err.loc.is_none() {
-                err.loc = *loc;
+            _ => {
+                // Handle [`CallInfo::IsNormalFunctionCall`] and other uninteresting variants
+                // of [`CallInfo`] (e.g, `CallInfo::IsUnaryOp` and unsupported comparison operators)
+
+                // Helper lambdas
+                let mut type_check_arg = |param_name, expected_arg_ty, arg_ty| {
+                    let ok = self.unify_impl(expected_arg_ty, arg_ty, false).is_ok();
+                    if ok {
+                        Ok(())
+                    } else {
+                        // Typecheck failed, throw an error.
+                        self.restore_snapshot();
+                        Err(TypeError::new(
+                            TypeErrorKind::IncorrectArgType {
+                                name: param_name,
+                                expected: expected_arg_ty,
+                                got: arg_ty,
+                            },
+                            *loc,
+                        ))
+                    }
+                };
+
+                // Check for "too many arguments"
+                if !is_vararg && num_params < posargs.len() {
+                    let expected_min_count =
+                        signature.args.iter().filter(|param| param.is_required()).count();
+                    let expected_max_count = num_params;
+
+                    self.restore_snapshot();
+                    return Err(TypeError::new(
+                        TypeErrorKind::TooManyArguments {
+                            expected_min_count,
+                            expected_max_count,
+                            got_count: num_args,
+                        },
+                        *loc,
+                    ));
+                }
+
+                // NOTE: order of `param_info_by_name` is leveraged, so use an IndexMap
+                let mut param_info_by_name: IndexMap<StrRef, ParamInfo> = signature
+                    .args
+                    .iter()
+                    .map(|arg| (arg.name, ParamInfo { has_been_supplied: false, param: arg }))
+                    .collect();
+
+                // Now consume all positional arguments and typecheck them.
+                for (&arg_ty, param) in zip(posargs, signature.args.iter()) {
+                    // We will also use this opportunity to mark the corresponding `param_info` as having been supplied.
+                    let param_info = param_info_by_name.get_mut(&param.name).unwrap();
+                    param_info.has_been_supplied = true;
+
+                    // Typecheck
+                    type_check_arg(param.name, param.ty, arg_ty)?;
+                }
+
+                if is_vararg {
+                    debug_assert!(!signature.args.is_empty());
+
+                    let vararg_args = posargs.iter().skip(signature.args.len());
+                    let vararg_param = signature.args.last().unwrap();
+
+                    for (&arg_ty, param) in zip(vararg_args, repeat(vararg_param)) {
+                        // `param_info` for this argument would've already been marked as supplied
+                        // during non-vararg posarg typecheck
+                        type_check_arg(param.name, param.ty, arg_ty)?;
+                    }
+                }
+
+                // Now consume all keyword arguments and typecheck them.
+                for (&param_name, &arg_ty) in kwargs {
+                    // We will also use this opportunity to check if this keyword argument is "legal".
+
+                    let Some(param_info) = param_info_by_name.get_mut(&param_name) else {
+                        self.restore_snapshot();
+                        return Err(TypeError::new(
+                            TypeErrorKind::UnknownArgName(param_name),
+                            *loc,
+                        ));
+                    };
+
+                    if param_info.has_been_supplied {
+                        // NOTE: Duplicate keyword argument (i.e., `hello(1, 2, 3, arg = 4, arg = 5)`)
+                        // is IMPOSSIBLE as the parser would have already failed.
+                        // We only have to care about "got multiple values for XYZ"
+
+                        self.restore_snapshot();
+                        return Err(TypeError::new(
+                            TypeErrorKind::GotMultipleValues { name: param_name },
+                            *loc,
+                        ));
+                    }
+
+                    param_info.has_been_supplied = true;
+
+                    // Typecheck
+                    type_check_arg(param_name, param_info.param.ty, arg_ty)?;
+                }
+
+                // After checking posargs and kwargs, check if there are any
+                // unsupplied required parameters, and throw an error if they exist.
+                let missing_arg_names = param_info_by_name
+                    .values()
+                    .filter(|param_info| {
+                        param_info.param.is_required() && !param_info.has_been_supplied
+                    })
+                    .map(|param_info| param_info.param.name)
+                    .collect_vec();
+                if !missing_arg_names.is_empty() {
+                    self.restore_snapshot();
+                    return Err(TypeError::new(
+                        TypeErrorKind::MissingArgs { missing_arg_names },
+                        *loc,
+                    ));
+                }
+
+                // Finally, check the Call's return type
+                self.unify_impl(*ret, signature.ret, false).map_err(|mut err| {
+                    self.restore_snapshot();
+                    if err.loc.is_none() {
+                        err.loc = *loc;
+                    }
+                    err
+                })?;
             }
-            err
-        })?;
-        *fun.borrow_mut() = Some(instantiated);
+        }
+
+        *fun.borrow_mut() = Some(b);
 
         self.discard_snapshot(snapshot);
         Ok(())
@@ -755,7 +990,10 @@ impl Unifier {
                 self.unify_impl(x, b, false)?;
                 self.set_a_to_b(a, x);
             }
-            (TVar { fields: Some(fields), range, is_const_generic: false, .. }, TTuple { ty }) => {
+            (
+                TVar { fields: Some(fields), range, is_const_generic: false, .. },
+                TTuple { ty, .. },
+            ) => {
                 let len = i32::try_from(ty.len()).unwrap();
                 for (k, v) in fields {
                     match *k {
@@ -776,31 +1014,25 @@ impl Unifier {
                             self.unify_impl(v.ty, ty[ind as usize], false)
                                 .map_err(|e| e.at(v.loc))?;
                         }
-                        RecordKey::Str(_) => {
-                            return Err(TypeError::new(TypeErrorKind::NoSuchField(*k, b), v.loc))
-                        }
-                    }
-                }
-                let x = self.check_var_compatibility(b, range)?.unwrap_or(b);
-                self.unify_impl(x, b, false)?;
-                self.set_a_to_b(a, x);
-            }
-            (TVar { fields: Some(fields), range, is_const_generic: false, .. }, TList { ty }) => {
-                for (k, v) in fields {
-                    match *k {
-                        RecordKey::Int(_) => {
-                            self.unify_impl(v.ty, *ty, false).map_err(|e| e.at(v.loc))?;
-                        }
-                        RecordKey::Str(_) => {
-                            return Err(TypeError::new(TypeErrorKind::NoSuchField(*k, b), v.loc))
-                        }
-                    }
-                }
-                let x = self.check_var_compatibility(b, range)?.unwrap_or(b);
-                self.unify_impl(x, b, false)?;
-                self.set_a_to_b(a, x);
-            }
+                        RecordKey::Str(s) => {
+                            let tuple_fns = [
+                                Cmpop::Eq.op_info().method_name,
+                                Cmpop::NotEq.op_info().method_name,
+                            ];
 
+                            if !tuple_fns.into_iter().any(|op| s.to_string() == op) {
+                                return Err(TypeError::new(
+                                    TypeErrorKind::NoSuchField(*k, b),
+                                    v.loc,
+                                ));
+                            }
+                        }
+                    }
+                }
+                let x = self.check_var_compatibility(b, range)?.unwrap_or(b);
+                self.unify_impl(x, b, false)?;
+                self.set_a_to_b(a, x);
+            }
             (
                 TVar { id: id1, range: ty1, is_const_generic: true, .. },
                 TVar { id: id2, range: ty2, .. },
@@ -868,24 +1100,50 @@ impl Unifier {
                 self.set_a_to_b(a, b);
             }
 
-            (TTuple { ty: ty1 }, TTuple { ty: ty2 }) => {
-                if ty1.len() != ty2.len() {
-                    return Err(TypeError::new(TypeErrorKind::IncompatibleTypes(a, b), None));
-                }
-                for (x, y) in ty1.iter().zip(ty2.iter()) {
-                    if self.unify_impl(*x, *y, false).is_err() {
-                        return Err(TypeError::new(TypeErrorKind::IncompatibleTypes(a, b), None));
+            (
+                TTuple { ty: ty1, is_vararg_ctx: is_vararg1 },
+                TTuple { ty: ty2, is_vararg_ctx: is_vararg2 },
+            ) => {
+                // Rules for Tuples:
+                // - ty1: is_vararg && ty2: is_vararg -> ty1[0] == ty2[0]
+                // - ty1: is_vararg && ty2: !is_vararg -> type error (not enough info to infer the correct number of arguments)
+                // - ty1: !is_vararg && ty2: is_vararg -> ty1[..] == ty2[0]
+                // - ty1: !is_vararg && ty2: !is_vararg -> ty1.len() == ty2.len() && ty1[i] == ty2[i]
+
+                debug_assert!(!is_vararg1 || ty1.len() == 1);
+                debug_assert!(!is_vararg2 || ty2.len() == 1);
+
+                match (*is_vararg1, *is_vararg2) {
+                    (true, true) => {
+                        if self.unify_impl(ty1[0], ty2[0], false).is_err() {
+                            return Self::incompatible_types(a, b);
+                        }
+                    }
+                    (true, false) => return Self::incompatible_types(a, b),
+
+                    (false, true) => {
+                        for y in ty2 {
+                            if self.unify_impl(ty1[0], *y, false).is_err() {
+                                return Self::incompatible_types(a, b);
+                            }
+                        }
+                    }
+                    (false, false) => {
+                        if ty1.len() != ty2.len() {
+                            return Self::incompatible_types(a, b);
+                        }
+
+                        for (x, y) in ty1.iter().zip(ty2.iter()) {
+                            if self.unify_impl(*x, *y, false).is_err() {
+                                return Self::incompatible_types(a, b);
+                            }
+                        }
                     }
                 }
+
                 self.set_a_to_b(a, b);
             }
-            (TList { ty: ty1 }, TList { ty: ty2 }) => {
-                if self.unify_impl(*ty1, *ty2, false).is_err() {
-                    return Err(TypeError::new(TypeErrorKind::IncompatibleTypes(a, b), None));
-                }
-                self.set_a_to_b(a, b);
-            }
-            (TVar { fields: Some(map), range, .. }, TObj { fields, .. }) => {
+            (TVar { fields: Some(map), range, .. }, TObj { obj_id, fields, params }) => {
                 for (k, field) in map {
                     match *k {
                         RecordKey::Str(s) => {
@@ -904,10 +1162,18 @@ impl Unifier {
                             self.unify_impl(field.ty, ty, false).map_err(|v| v.at(field.loc))?;
                         }
                         RecordKey::Int(_) => {
-                            return Err(TypeError::new(
-                                TypeErrorKind::NoSuchField(*k, b),
-                                field.loc,
-                            ))
+                            // Allow expressions such as list[0]
+                            if *obj_id == PrimDef::List.id() {
+                                let ty = iter_type_vars(params).nth(0).unwrap().ty;
+
+                                self.unify_impl(field.ty, ty, false)
+                                    .map_err(|e| e.at(field.loc))?;
+                            } else {
+                                return Err(TypeError::new(
+                                    TypeErrorKind::NoSuchField(*k, b),
+                                    field.loc,
+                                ));
+                            }
                         }
                     }
                 }
@@ -990,17 +1256,10 @@ impl Unifier {
                 self.unification_table.set_value(b, Rc::new(TCall(calls)));
             }
             (TCall(calls), TFunc(signature)) => {
-                let required: Vec<StrRef> = signature
-                    .args
-                    .iter()
-                    .filter(|v| v.default_value.is_none())
-                    .map(|v| v.name)
-                    .rev()
-                    .collect();
                 // we unify every calls to the function signature.
                 for c in calls {
                     let call = self.calls[c.0].clone();
-                    self.unify_call(&call, b, signature, &required)?;
+                    self.unify_call(&call, b, signature)?;
                 }
                 self.set_a_to_b(a, b);
             }
@@ -1124,13 +1383,22 @@ impl Unifier {
             TypeEnum::TLiteral { values, .. } => {
                 format!("const({})", values.iter().map(|v| format!("{v:?}")).join(", "))
             }
-            TypeEnum::TTuple { ty } => {
-                let mut fields =
-                    ty.iter().map(|v| self.internal_stringify(*v, obj_to_name, var_to_name, notes));
-                format!("tuple[{}]", fields.join(", "))
-            }
-            TypeEnum::TList { ty } => {
-                format!("list[{}]", self.internal_stringify(*ty, obj_to_name, var_to_name, notes))
+            TypeEnum::TTuple { ty, is_vararg_ctx } => {
+                if *is_vararg_ctx {
+                    debug_assert_eq!(ty.len(), 1);
+                    let field = self.internal_stringify(
+                        *ty.iter().next().unwrap(),
+                        obj_to_name,
+                        var_to_name,
+                        notes,
+                    );
+                    format!("tuple[*{field}]")
+                } else {
+                    let mut fields = ty
+                        .iter()
+                        .map(|v| self.internal_stringify(*v, obj_to_name, var_to_name, notes));
+                    format!("tuple[{}]", fields.join(", "))
+                }
             }
             TypeEnum::TVirtual { ty } => {
                 format!(
@@ -1155,17 +1423,21 @@ impl Unifier {
                     .args
                     .iter()
                     .map(|arg| {
+                        let vararg_prefix = if arg.is_vararg { "*" } else { "" };
+
                         if let Some(dv) = &arg.default_value {
                             format!(
-                                "{}:{}={}",
+                                "{}:{}{}={}",
                                 arg.name,
+                                vararg_prefix,
                                 self.internal_stringify(arg.ty, obj_to_name, var_to_name, notes),
                                 dv
                             )
                         } else {
                             format!(
-                                "{}:{}",
+                                "{}:{}{}",
                                 arg.name,
+                                vararg_prefix,
                                 self.internal_stringify(arg.ty, obj_to_name, var_to_name, notes)
                             )
                         }
@@ -1251,7 +1523,7 @@ impl Unifier {
         match &*ty {
             TypeEnum::TRigidVar { .. } | TypeEnum::TLiteral { .. } => None,
             TypeEnum::TVar { id, .. } => mapping.get(id).copied(),
-            TypeEnum::TTuple { ty } => {
+            TypeEnum::TTuple { ty, is_vararg_ctx } => {
                 let mut new_ty = Cow::from(ty);
                 for (i, t) in ty.iter().enumerate() {
                     if let Some(t1) = self.subst_impl(*t, mapping, cache) {
@@ -1259,14 +1531,14 @@ impl Unifier {
                     }
                 }
                 if matches!(new_ty, Cow::Owned(_)) {
-                    Some(self.add_ty(TypeEnum::TTuple { ty: new_ty.into_owned() }))
+                    Some(self.add_ty(TypeEnum::TTuple {
+                        ty: new_ty.into_owned(),
+                        is_vararg_ctx: *is_vararg_ctx,
+                    }))
                 } else {
                     None
                 }
             }
-            TypeEnum::TList { ty } => {
-                self.subst_impl(*ty, mapping, cache).map(|t| self.add_ty(TypeEnum::TList { ty: t }))
-            }
             TypeEnum::TVirtual { ty } => self
                 .subst_impl(*ty, mapping, cache)
                 .map(|t| self.add_ty(TypeEnum::TVirtual { ty: t })),
@@ -1277,6 +1549,7 @@ impl Unifier {
                 // This is also used to prevent infinite substitution...
                 let need_subst = params.values().any(|v| {
                     let ty = self.unification_table.probe_value(*v);
+                    // TODO(Derppening): #444
                     if let TypeEnum::TVar { id, .. } = ty.as_ref() {
                         mapping.contains_key(id)
                     } else {
@@ -1421,20 +1694,55 @@ impl Unifier {
                 }
             }
             (TVar { range, .. }, _) => self.check_var_compatibility(b, range).or(Err(())),
-            (TTuple { ty: ty1 }, TTuple { ty: ty2 }) if ty1.len() == ty2.len() => {
-                let ty: Vec<_> = zip(ty1.iter(), ty2.iter())
-                    .map(|(a, b)| self.get_intersection(*a, *b))
-                    .try_collect()?;
-                if ty.iter().any(Option::is_some) {
-                    Ok(Some(self.add_ty(TTuple {
-                        ty: zip(ty, ty1.iter()).map(|(a, b)| a.unwrap_or(*b)).collect(),
-                    })))
+            (
+                TTuple { ty: ty1, is_vararg_ctx: is_vararg1 },
+                TTuple { ty: ty2, is_vararg_ctx: is_vararg2 },
+            ) => {
+                if *is_vararg1 && *is_vararg2 {
+                    let isect_ty = self.get_intersection(ty1[0], ty2[0])?;
+                    Ok(isect_ty.map(|ty| self.add_ty(TTuple { ty: vec![ty], is_vararg_ctx: true })))
                 } else {
-                    Ok(None)
+                    let zip_iter: Box<dyn Iterator<Item = (&Type, &Type)>> =
+                        match (*is_vararg1, *is_vararg2) {
+                            (true, _) => Box::new(repeat_n(&ty1[0], ty2.len()).zip(ty2.iter())),
+                            (_, false) => Box::new(ty1.iter().zip(repeat_n(&ty2[0], ty1.len()))),
+                            _ => {
+                                if ty1.len() != ty2.len() {
+                                    return Err(());
+                                }
+
+                                Box::new(ty1.iter().zip(ty2.iter()))
+                            }
+                        };
+
+                    let ty: Vec<_> =
+                        zip_iter.map(|(a, b)| self.get_intersection(*a, *b)).try_collect()?;
+                    Ok(if ty.iter().any(Option::is_some) {
+                        Some(self.add_ty(TTuple {
+                            ty: zip(ty, ty1.iter()).map(|(a, b)| a.unwrap_or(*b)).collect(),
+                            is_vararg_ctx: false,
+                        }))
+                    } else {
+                        None
+                    })
                 }
             }
-            (TList { ty: ty1 }, TList { ty: ty2 }) => {
-                Ok(self.get_intersection(*ty1, *ty2)?.map(|ty| self.add_ty(TList { ty })))
+            // TODO(Derppening): #444
+            (
+                TObj { obj_id: id1, fields, params: params1 },
+                TObj { obj_id: id2, params: params2, .. },
+            ) if *id1 == PrimDef::List.id() && *id2 == PrimDef::List.id() => {
+                let tv_id = iter_type_vars(params1).nth(0).unwrap().id;
+                let ty1 = iter_type_vars(params1).nth(0).unwrap().ty;
+                let ty2 = iter_type_vars(params2).nth(0).unwrap().ty;
+
+                Ok(self.get_intersection(ty1, ty2)?.map(|ty| {
+                    self.add_ty(TObj {
+                        obj_id: *id1,
+                        fields: fields.clone(),
+                        params: into_var_map([TypeVar { id: tv_id, ty }]),
+                    })
+                }))
             }
             (TVirtual { ty: ty1 }, TVirtual { ty: ty2 }) => {
                 Ok(self.get_intersection(*ty1, *ty2)?.map(|ty| self.add_ty(TVirtual { ty })))

nac3core/src/typecheck/typedef/test.rs

@@ -1,10 +1,12 @@
-use super::super::magic_methods::with_fields;
-use super::*;
+use std::collections::HashMap;
+
 use indoc::indoc;
 use itertools::Itertools;
-use std::collections::HashMap;
 use test_case::test_case;
 
+use super::*;
+use crate::typecheck::magic_methods::with_fields;
+
 impl Unifier {
     /// Check whether two types are equal.
     fn eq(&mut self, a: Type, b: Type) -> bool {
@@ -28,14 +30,14 @@ impl Unifier {
                 TypeEnum::TVar { fields: Some(map1), .. },
                 TypeEnum::TVar { fields: Some(map2), .. },
             ) => self.map_eq2(map1, map2),
-            (TypeEnum::TTuple { ty: ty1 }, TypeEnum::TTuple { ty: ty2 }) => {
+            (
+                TypeEnum::TTuple { ty: ty1, is_vararg_ctx: false },
+                TypeEnum::TTuple { ty: ty2, is_vararg_ctx: false },
+            ) => {
                 ty1.len() == ty2.len()
                     && ty1.iter().zip(ty2.iter()).all(|(t1, t2)| self.eq(*t1, *t2))
             }
-            (TypeEnum::TList { ty: ty1 }, TypeEnum::TList { ty: ty2 })
-            | (TypeEnum::TVirtual { ty: ty1 }, TypeEnum::TVirtual { ty: ty2 }) => {
-                self.eq(*ty1, *ty2)
-            }
+            (TypeEnum::TVirtual { ty: ty1 }, TypeEnum::TVirtual { ty: ty2 }) => self.eq(*ty1, *ty2),
             (
                 TypeEnum::TObj { obj_id: id1, params: params1, .. },
                 TypeEnum::TObj { obj_id: id2, params: params2, .. },
@@ -119,6 +121,15 @@ impl TestEnvironment {
                 params: into_var_map([tvar]),
             }),
         );
+        let tvar = unifier.get_dummy_var();
+        type_mapping.insert(
+            "list".into(),
+            unifier.add_ty(TypeEnum::TObj {
+                obj_id: PrimDef::List.id(),
+                fields: HashMap::new(),
+                params: into_var_map([tvar]),
+            }),
+        );
 
         TestEnvironment { unifier, type_mapping }
     }
@@ -133,6 +144,36 @@ impl TestEnvironment {
         // for testing only, so we can just panic when the input is malformed
         let end = typ.find(|c| ['[', ',', ']', '='].contains(&c)).unwrap_or(typ.len());
         match &typ[..end] {
+            "list" => {
+                let mut s = &typ[end..];
+                assert_eq!(&s[0..1], "[");
+                let mut ty = Vec::new();
+                while &s[0..1] != "]" {
+                    let result = self.internal_parse(&s[1..], mapping);
+                    ty.push(result.0);
+                    s = result.1;
+                }
+
+                assert_eq!(ty.len(), 1);
+
+                let list_elem_tvar = if let TypeEnum::TObj { params, .. } =
+                    &*self.unifier.get_ty_immutable(self.type_mapping["list"])
+                {
+                    iter_type_vars(params).next().unwrap()
+                } else {
+                    unreachable!()
+                };
+
+                (
+                    self.unifier
+                        .subst(
+                            self.type_mapping["list"],
+                            &into_var_map([TypeVar { id: list_elem_tvar.id, ty: ty[0] }]),
+                        )
+                        .unwrap(),
+                    &s[1..],
+                )
+            }
             "tuple" => {
                 let mut s = &typ[end..];
                 assert_eq!(&s[0..1], "[");
@@ -142,13 +183,7 @@ impl TestEnvironment {
                     ty.push(result.0);
                     s = result.1;
                 }
-                (self.unifier.add_ty(TypeEnum::TTuple { ty }), &s[1..])
-            }
-            "list" => {
-                assert_eq!(&typ[end..=end], "[");
-                let (ty, s) = self.internal_parse(&typ[end + 1..], mapping);
-                assert_eq!(&s[0..1], "]");
-                (self.unifier.add_ty(TypeEnum::TList { ty }), &s[1..])
+                (self.unifier.add_ty(TypeEnum::TTuple { ty, is_vararg_ctx: false }), &s[1..])
             }
             "Record" => {
                 let mut s = &typ[end..];
@@ -274,7 +309,7 @@ fn test_unify(
         ("v1", "tuple[int]"),
         ("v2", "list[int]"),
     ],
-    (("v1", "v2"), "Incompatible types: list[0] and tuple[0]")
+    (("v1", "v2"), "Incompatible types: 11[0] and tuple[0]")
     ; "type mismatch"
 )]
 #[test_case(2,
@@ -298,7 +333,7 @@ fn test_unify(
         ("v1", "Record[a=float,b=int]"),
         ("v2", "Foo[v3]"),
     ],
-    (("v1", "v2"), "`3[typevar4]::b` field/method does not exist")
+    (("v1", "v2"), "`3[typevar5]::b` field/method does not exist")
     ; "record obj merge"
 )]
 /// Test cases for invalid unifications.
@@ -388,6 +423,14 @@ fn test_typevar_range() {
     let int_list = env.parse("list[int]", &HashMap::new());
     let float_list = env.parse("list[float]", &HashMap::new());
 
+    let list_elem_tvar = if let TypeEnum::TObj { params, .. } =
+        &*env.unifier.get_ty_immutable(env.type_mapping["list"])
+    {
+        iter_type_vars(params).next().unwrap()
+    } else {
+        unreachable!()
+    };
+
     // unification between v and int
     // where v in (int, bool)
     let v = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
@@ -398,7 +441,7 @@ fn test_typevar_range() {
     let v = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
     assert_eq!(
         env.unify(int_list, v),
-        Err("Expected any one of these types: 0, 2, but got list[0]".to_string())
+        Err("Expected any one of these types: 0, 2, but got 11[0]".to_string())
     );
 
     // unification between v and float
@@ -410,7 +453,11 @@ fn test_typevar_range() {
     );
 
     let v1 = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
-    let v1_list = env.unifier.add_ty(TypeEnum::TList { ty: v1 });
+    let v1_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: v1 }]),
+    });
     let v = env.unifier.get_fresh_var_with_range(&[int, v1_list], None, None).ty;
     // unification between v and int
     // where v in (int, list[v1]), v1 in (int, bool)
@@ -424,9 +471,10 @@ fn test_typevar_range() {
     let v = env.unifier.get_fresh_var_with_range(&[int, v1_list], None, None).ty;
     // unification between v and list[float]
     // where v in (int, list[v1]), v1 in (int, bool)
+    println!("float_list: {}, v: {}", env.unifier.stringify(float_list), env.unifier.stringify(v));
     assert_eq!(
         env.unify(float_list, v),
-        Err("Expected any one of these types: 0, list[typevar5], but got list[1]\n\nNotes:\n    typevar5 ∈ {0, 2}".to_string())
+        Err("Expected any one of these types: 0, 11[typevar6], but got 11[1]\n\nNotes:\n    typevar6 ∈ {0, 2}".to_string())
     );
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
@@ -441,34 +489,66 @@ fn test_typevar_range() {
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
     let b = env.unifier.get_fresh_var_with_range(&[boolean, float], None, None).ty;
-    let a_list = env.unifier.add_ty(TypeEnum::TList { ty: a });
+    let a_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
     let a_list = env.unifier.get_fresh_var_with_range(&[a_list], None, None).ty;
-    let b_list = env.unifier.add_ty(TypeEnum::TList { ty: b });
+    let b_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: b }]),
+    });
     let b_list = env.unifier.get_fresh_var_with_range(&[b_list], None, None).ty;
     env.unifier.unify(a_list, b_list).unwrap();
-    let float_list = env.unifier.add_ty(TypeEnum::TList { ty: float });
+    let float_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: float }]),
+    });
     env.unifier.unify(a_list, float_list).unwrap();
     // previous unifications should not affect a and b
     env.unifier.unify(a, int).unwrap();
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
     let b = env.unifier.get_fresh_var_with_range(&[boolean, float], None, None).ty;
-    let a_list = env.unifier.add_ty(TypeEnum::TList { ty: a });
-    let b_list = env.unifier.add_ty(TypeEnum::TList { ty: b });
+    let a_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
+    let b_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: b }]),
+    });
     env.unifier.unify(a_list, b_list).unwrap();
-    let int_list = env.unifier.add_ty(TypeEnum::TList { ty: int });
+    let int_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: int }]),
+    });
     assert_eq!(
         env.unify(a_list, int_list),
-        Err("Incompatible types: list[typevar22] and list[0]\
-            \n\nNotes:\n    typevar22 ∈ {1}"
+        Err("Incompatible types: 11[typevar23] and 11[0]\
+            \n\nNotes:\n    typevar23 ∈ {1}"
             .into())
     );
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
     let b = env.unifier.get_dummy_var().ty;
-    let a_list = env.unifier.add_ty(TypeEnum::TList { ty: a });
+    let a_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
     let a_list = env.unifier.get_fresh_var_with_range(&[a_list], None, None).ty;
-    let b_list = env.unifier.add_ty(TypeEnum::TList { ty: b });
+    let b_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: b }]),
+    });
     env.unifier.unify(a_list, b_list).unwrap();
     assert_eq!(
         env.unify(b, boolean),
@@ -482,16 +562,25 @@ fn test_rigid_var() {
     let a = env.unifier.get_fresh_rigid_var(None, None).ty;
     let b = env.unifier.get_fresh_rigid_var(None, None).ty;
     let x = env.unifier.get_dummy_var().ty;
-    let list_a = env.unifier.add_ty(TypeEnum::TList { ty: a });
-    let list_x = env.unifier.add_ty(TypeEnum::TList { ty: x });
+    let list_elem_tvar = env.unifier.get_fresh_var(Some("list_elem".into()), None);
+    let list_a = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
+    let list_x = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: x }]),
+    });
     let int = env.parse("int", &HashMap::new());
     let list_int = env.parse("list[int]", &HashMap::new());
 
-    assert_eq!(env.unify(a, b), Err("Incompatible types: typevar3 and typevar2".to_string()));
+    assert_eq!(env.unify(a, b), Err("Incompatible types: typevar4 and typevar3".to_string()));
     env.unifier.unify(list_a, list_x).unwrap();
     assert_eq!(
         env.unify(list_x, list_int),
-        Err("Incompatible types: list[typevar2] and list[0]".to_string())
+        Err("Incompatible types: 11[typevar3] and 11[0]".to_string())
     );
 
     env.unifier.replace_rigid_var(a, int);
@@ -506,14 +595,25 @@ fn test_instantiation() {
     let float = env.parse("float", &HashMap::new());
     let list_int = env.parse("list[int]", &HashMap::new());
 
-    let obj_map: HashMap<_, _> = [(0usize, "int"), (1, "float"), (2, "bool")].into();
+    let list_elem_tvar = if let TypeEnum::TObj { params, .. } =
+        &*env.unifier.get_ty_immutable(env.type_mapping["list"])
+    {
+        iter_type_vars(params).next().unwrap()
+    } else {
+        unreachable!()
+    };
+
+    let obj_map: HashMap<_, _> = [(0usize, "int"), (1, "float"), (2, "bool"), (11, "list")].into();
 
     let v = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
-    let list_v = env.unifier.add_ty(TypeEnum::TList { ty: v });
+    let list_v = env
+        .unifier
+        .subst(env.type_mapping["list"], &into_var_map([TypeVar { id: list_elem_tvar.id, ty: v }]))
+        .unwrap();
     let v1 = env.unifier.get_fresh_var_with_range(&[list_v, int], None, None).ty;
     let v2 = env.unifier.get_fresh_var_with_range(&[list_int, float], None, None).ty;
     let t = env.unifier.get_dummy_var().ty;
-    let tuple = env.unifier.add_ty(TypeEnum::TTuple { ty: vec![v, v1, v2] });
+    let tuple = env.unifier.add_ty(TypeEnum::TTuple { ty: vec![v, v1, v2], is_vararg_ctx: false });
     let v3 = env.unifier.get_fresh_var_with_range(&[tuple, t], None, None).ty;
     // t = TypeVar('t')
     // v = TypeVar('v', int, bool)
@@ -536,7 +636,7 @@ fn test_instantiation() {
         tuple[int, list[bool], list[int]]
         tuple[int, list[int], float]
         tuple[int, list[int], list[int]]
-        v5"
+        v6"
     }
     .split('\n')
     .collect_vec();

nac3ld/src/dwarf.rs

@@ -238,7 +238,7 @@ impl<'a> EH_Frame<'a> {
 /// From the [specification](https://refspecs.linuxfoundation.org/LSB_5.0.0/LSB-Core-generic/LSB-Core-generic/ehframechpt.html):
 ///
 /// > Each CFI record contains a Common Information Entry (CIE) record followed by 1 or more Frame
-/// Description Entry (FDE) records.
+/// > Description Entry (FDE) records.
 pub struct CFI_Record<'a> {
     // It refers to the augmentation data that corresponds to 'R' in the augmentation string
     fde_pointer_encoding: u8,

nac3ld/src/lib.rs

@@ -21,13 +21,12 @@
     clippy::wildcard_imports
 )]
 
+use std::{collections::HashMap, mem, ptr, slice, str};
+
+use byteorder::{ByteOrder, LittleEndian};
+
 use dwarf::*;
 use elf::*;
-use std::collections::HashMap;
-use std::{mem, ptr, slice, str};
-
-extern crate byteorder;
-use byteorder::{ByteOrder, LittleEndian};
 
 mod dwarf;
 mod elf;

nac3parser/Cargo.toml

@@ -8,15 +8,15 @@ license = "MIT"
 edition = "2021"
 
 [build-dependencies]
-lalrpop = "0.20"
+lalrpop = "0.22"
 
 [dependencies]
 nac3ast = { path = "../nac3ast" }
-lalrpop-util = "0.20"
+lalrpop-util = "0.22"
 log = "0.4"
 unic-emoji-char = "0.9"
 unic-ucd-ident  = "0.9"
-unicode_names2 = "1.2"
+unicode_names2 = "1.3"
 phf = { version = "0.11", features = ["macros"] }
 ahash = "0.8"
 

nac3parser/src/config_comment_helper.rs

@@ -1,8 +1,10 @@
-use crate::ast::Ident;
-use crate::ast::Location;
-use crate::error::*;
-use crate::token::Tok;
+use crate::{
+    ast::{Ident, Location},
+    error::*,
+    token::Tok,
+};
 use lalrpop_util::ParseError;
+
 use nac3ast::*;
 
 pub fn make_config_comment(

nac3parser/src/error.rs

@@ -1,13 +1,12 @@
 //! Define internal parse error types
 //! The goal is to provide a matching and a safe error API, maksing errors from LALR
-use lalrpop_util::ParseError as LalrpopError;
-
-use crate::ast::Location;
-use crate::token::Tok;
-
 use std::error::Error;
 use std::fmt;
 
+use lalrpop_util::ParseError as LalrpopError;
+
+use crate::{ast::Location, token::Tok};
+
 /// Represents an error during lexical scanning.
 #[derive(Debug, PartialEq)]
 pub struct LexicalError {

nac3parser/src/fstring.rs

@@ -1,12 +1,11 @@
-use std::iter;
-use std::mem;
-use std::str;
-
-use crate::ast::{Constant, ConversionFlag, Expr, ExprKind, Location};
-use crate::error::{FStringError, FStringErrorType, ParseError};
-use crate::parser::parse_expression;
+use std::{iter, mem, str};
 
 use self::FStringErrorType::*;
+use crate::{
+    ast::{Constant, ConversionFlag, Expr, ExprKind, Location},
+    error::{FStringError, FStringErrorType, ParseError},
+    parser::parse_expression,
+};
 
 struct FStringParser<'a> {
     chars: iter::Peekable<str::Chars<'a>>,

nac3parser/src/function.rs

@@ -1,8 +1,11 @@
-use ahash::RandomState;
 use std::collections::HashSet;
 
-use crate::ast;
-use crate::error::{LexicalError, LexicalErrorType};
+use ahash::RandomState;
+
+use crate::{
+    ast,
+    error::{LexicalError, LexicalErrorType},
+};
 
 pub struct ArgumentList {
     pub args: Vec<ast::Expr>,

nac3parser/src/lexer.rs

@@ -1,17 +1,17 @@
 //! This module takes care of lexing python source text.
 //!
 //! This means source code is translated into separate tokens.
+use std::{char, cmp::Ordering, num::IntErrorKind, str::FromStr};
 
-pub use super::token::Tok;
-use crate::ast::{FileName, Location};
-use crate::error::{LexicalError, LexicalErrorType};
-use std::char;
-use std::cmp::Ordering;
-use std::num::IntErrorKind;
-use std::str::FromStr;
 use unic_emoji_char::is_emoji_presentation;
 use unic_ucd_ident::{is_xid_continue, is_xid_start};
 
+pub use super::token::Tok;
+use crate::{
+    ast::{FileName, Location},
+    error::{LexicalError, LexicalErrorType},
+};
+
 #[derive(Clone, Copy, PartialEq, Debug, Default)]
 struct IndentationLevel {
     tabs: usize,

nac3parser/src/parser.rs

@@ -5,14 +5,16 @@
 //! parse a whole program, a single statement, or a single
 //! expression.
 
-use nac3ast::Location;
 use std::iter;
 
-use crate::ast::{self, FileName};
-use crate::error::ParseError;
-use crate::lexer;
+use nac3ast::Location;
+
 pub use crate::mode::Mode;
-use crate::python;
+use crate::{
+    ast::{self, FileName},
+    error::ParseError,
+    lexer, python,
+};
 
 /*
  * Parse python code.

nac3parser/src/token.rs

@@ -1,8 +1,9 @@
 //! Different token definitions.
 //! Loosely based on token.h from CPython source:
-use crate::ast;
 use std::fmt::{self, Write};
 
+use crate::ast;
+
 /// Python source code can be tokenized in a sequence of these tokens.
 #[derive(Clone, Debug, PartialEq)]
 pub enum Tok {

nac3standalone/Cargo.toml

@@ -4,16 +4,13 @@ version = "0.1.0"
 authors = ["M-Labs"]
 edition = "2021"
 
+[features]
+no-escape-analysis = ["nac3core/no-escape-analysis"]
+
 [dependencies]
 parking_lot = "0.12"
-nac3parser = { path = "../nac3parser" }
 nac3core = { path = "../nac3core" }
 
 [dependencies.clap]
 version = "4.5"
 features = ["derive"]
-
-[dependencies.inkwell]
-version = "0.4"
-default-features = false
-features = ["llvm14-0", "target-x86", "target-arm", "target-riscv", "no-libffi-linking"]

nac3standalone/demo/check_demo.sh

@@ -3,23 +3,66 @@
 set -e
 
 if [ -z "$1" ]; then
-  echo "Requires at least one argument"
-  exit 1
+    echo "No argument supplied"
+    exit 1
 fi
 
 declare -a nac3args
+while [ $# -gt 1 ]; do
+  case "$1" in
+    --help)
+      echo "Usage: check_demo.sh [--debug] [-i686] -- [NAC3ARGS...] demo"
+      exit
+      ;;
+    --debug)
+      debug=1
+      ;;
+    -i686)
+      i686=1
+      ;;
+    --)
+      shift
+      break
+      ;;
+    *)
+      echo "Unrecognized argument \"$1\""
+      exit 1
+      ;;
+  esac
+  shift
+done
+
 while [ $# -gt 1 ]; do
   nac3args+=("$1")
   shift
 done
 demo="$1"
 
-echo -n "Checking $demo... "
-./interpret_demo.py "$demo" > interpreted.log
-./run_demo.sh --out run.log "${nac3args[@]}" "$demo"
-./run_demo.sh --lli --out run_lli.log "${nac3args[@]}" "$demo"
-diff -Nau interpreted.log run.log
-diff -Nau interpreted.log run_lli.log
-echo "ok"
 
-rm -f interpreted.log run.log run_lli.log
+echo "### Checking $demo..."
+
+echo ">>>>>> Running $demo with the Python interpreter"
+./interpret_demo.py "$demo" > interpreted.log
+
+if [ -n "$i686" ]; then
+  echo "...... Trying NAC3's 32-bit code generator output"
+  if [ -n "$debug" ]; then
+    ./run_demo.sh --debug -i686 --out run_32.log -- "${nac3args[@]}" "$demo"
+  else
+    ./run_demo.sh -i686 --out run_32.log -- "${nac3args[@]}" "$demo"
+  fi
+  diff -Nau interpreted.log run_32.log
+fi
+
+echo "...... Trying NAC3's 64-bit code generator output"
+if [ -n "$debug" ]; then
+  ./run_demo.sh --debug --out run_64.log -- "${nac3args[@]}" "$demo"
+else
+  ./run_demo.sh --out run_64.log -- "${nac3args[@]}" "$demo"
+fi
+diff -Nau interpreted.log run_64.log
+
+echo "...... OK"
+
+rm -f interpreted.log \
+  run_32.log run_64.log

nac3standalone/demo/check_demos.sh

@@ -2,6 +2,11 @@
 
 set -e
 
+if [ "$1" == "--help" ]; then
+    echo "Usage: check_demos.sh [CHECKARGS...] [--] [NAC3ARGS...]"
+    exit
+fi
+
 count=0
 for demo in src/*.py; do
   ./check_demo.sh "$@" "$demo"

nac3standalone/demo/demo.c

@@ -6,14 +6,12 @@
 #include <stdlib.h>
 #include <string.h>
 
-#define usize size_t
-
 double dbl_nan(void) {
-  return NAN;
+    return NAN;
 }
 
 double dbl_inf(void) {
-  return INFINITY;
+    return INFINITY;
 }
 
 void output_bool(bool x) {
@@ -21,19 +19,19 @@ void output_bool(bool x) {
 }
 
 void output_int32(int32_t x) {
-    printf("%"PRId32"\n", x);
+    printf("%" PRId32 "\n", x);
 }
 
 void output_int64(int64_t x) {
-    printf("%"PRId64"\n", x);
+    printf("%" PRId64 "\n", x);
 }
 
 void output_uint32(uint32_t x) {
-    printf("%"PRIu32"\n", x);
+    printf("%" PRIu32 "\n", x);
 }
 
 void output_uint64(uint64_t x) {
-    printf("%"PRIu64"\n", x);
+    printf("%" PRIu64 "\n", x);
 }
 
 void output_float64(double x) {
@@ -44,8 +42,17 @@ void output_float64(double x) {
     }
 }
 
+void output_range(int32_t range[3]) {
+    printf("range(");
+    printf("%d, %d", range[0], range[1]);
+    if (range[2] != 1) {
+        printf(", %d", range[2]);
+    }
+    puts(")");
+}
+
 void output_asciiart(int32_t x) {
-    static const char *chars = " .,-:;i+hHM$*#@    ";
+    static const char* chars = " .,-:;i+hHM$*#@    ";
     if (x < 0) {
         putchar('\n');
     } else {
@@ -54,15 +61,15 @@ void output_asciiart(int32_t x) {
 }
 
 struct cslice {
-    void *data;
-    usize len;
+    void* data;
+    size_t len;
 };
 
-void output_int32_list(struct cslice *slice) {
-    const int32_t *data = (int32_t *) slice->data;
+void output_int32_list(struct cslice* slice) {
+    const int32_t* data = (int32_t*)slice->data;
 
     putchar('[');
-    for (usize i = 0; i < slice->len; ++i) {
+    for (size_t i = 0; i < slice->len; ++i) {
         if (i == slice->len - 1) {
             printf("%d", data[i]);
         } else {
@@ -73,19 +80,23 @@ void output_int32_list(struct cslice *slice) {
     putchar('\n');
 }
 
-void output_str(struct cslice *slice) {
-    const char *data = (const char *) slice->data;
+void output_str(struct cslice* slice) {
+    const char* data = (const char*)slice->data;
 
-    for (usize i = 0; i < slice->len; ++i) {
+    for (size_t i = 0; i < slice->len; ++i) {
         putchar(data[i]);
     }
+}
+
+void output_strln(struct cslice* slice) {
+    output_str(slice);
     putchar('\n');
 }
 
-uint64_t dbg_stack_address(__attribute__((unused)) struct cslice *slice) {
+uint64_t dbg_stack_address(__attribute__((unused)) struct cslice* slice) {
     int i;
-    void *ptr = (void *) &i;
-    return (uintptr_t) ptr;
+    void* ptr = (void*)&i;
+    return (uintptr_t)ptr;
 }
 
 uint32_t __nac3_personality(uint32_t state, uint32_t exception_object, uint32_t context) {
@@ -94,8 +105,26 @@ uint32_t __nac3_personality(uint32_t state, uint32_t exception_object, uint32_t
     __builtin_unreachable();
 }
 
-uint32_t __nac3_raise(uint32_t state, uint32_t exception_object, uint32_t context) {
-    printf("__nac3_raise(state: %u, exception_object: %u, context: %u)\n", state, exception_object, context);
+// See `struct Exception<'a>` in
+// https://github.com/m-labs/artiq/blob/master/artiq/firmware/libeh/eh_artiq.rs
+struct Exception {
+    uint32_t id;
+    struct cslice file;
+    uint32_t line;
+    uint32_t column;
+    struct cslice function;
+    struct cslice message;
+    int64_t param[3];
+};
+
+uint32_t __nac3_raise(struct Exception* e) {
+    printf("__nac3_raise called. Exception details:\n");
+    printf("          ID: %" PRIu32 "\n", e->id);
+    printf("    Location: %*s:%" PRIu32 ":%" PRIu32 "\n", (int)e->file.len, (const char*)e->file.data, e->line,
+           e->column);
+    printf("    Function: %*s\n", (int)e->function.len, (const char*)e->function.data);
+    printf("     Message: \"%*s\"\n", (int)e->message.len, (const char*)e->message.data);
+    printf("      Params: {0}=%" PRId64 ", {1}=%" PRId64 ", {2}=%" PRId64 "\n", e->param[0], e->param[1], e->param[2]);
     exit(101);
     __builtin_unreachable();
 }

nac3standalone/demo/interpret_demo.py

@@ -6,6 +6,7 @@ import importlib.machinery
 import math
 import numpy as np
 import numpy.typing as npt
+import scipy as sp
 import pathlib
 
 from numpy import int32, int64, uint32, uint64
@@ -107,6 +108,9 @@ def patch(module):
     def output_float(x):
         print("%f" % x)
 
+    def output_strln(x):
+        print(x, end='')
+
     def dbg_stack_address(_):
         return 0
 
@@ -120,6 +124,8 @@ def patch(module):
             return output_asciiart
         elif name == "output_float64":
             return output_float
+        elif name == "output_str":
+            return output_strln
         elif name in {
             "output_bool",
             "output_int32",
@@ -127,7 +133,8 @@ def patch(module):
             "output_int32_list",
             "output_uint32",
             "output_uint64",
-            "output_str",
+            "output_strln",
+            "output_range",
         }:
             return print
         elif name == "dbg_stack_address":
@@ -161,7 +168,7 @@ def patch(module):
     module.ceil64 = _ceil
     module.np_ceil = np.ceil
 
-    # NumPy ndarray functions
+    # NumPy NDArray factory functions
     module.ndarray = NDArray
     module.np_ndarray = np.ndarray
     module.np_empty = np.empty
@@ -177,8 +184,10 @@ def patch(module):
     module.np_isinf = np.isinf
     module.np_min = np.min
     module.np_minimum = np.minimum
+    module.np_argmin = np.argmin
     module.np_max = np.max
     module.np_maximum = np.maximum
+    module.np_argmax = np.argmax
     module.np_sin = np.sin
     module.np_cos = np.cos
     module.np_exp = np.exp
@@ -209,8 +218,10 @@ def patch(module):
     module.np_ldexp = np.ldexp
     module.np_hypot = np.hypot
     module.np_nextafter = np.nextafter
+    module.np_transpose = np.transpose
+    module.np_reshape = np.reshape
 
-    # SciPy Math Functions
+    # SciPy Math functions
     module.sp_spec_erf = special.erf
     module.sp_spec_erfc = special.erfc
     module.sp_spec_gamma = special.gamma
@@ -218,16 +229,19 @@ def patch(module):
     module.sp_spec_j0 = special.j0
     module.sp_spec_j1 = special.j1
 
-    # NumPy NDArray Functions
-    module.np_ndarray = np.ndarray
-    module.np_empty = np.empty
-    module.np_zeros = np.zeros
-    module.np_ones = np.ones
-    module.np_full = np.full
-    module.np_eye = np.eye
-    module.np_identity = np.identity
-    module.np_any = np.any
-    module.np_all = np.all
+    # Linalg functions
+    module.np_dot = np.dot
+    module.np_linalg_cholesky = np.linalg.cholesky
+    module.np_linalg_qr = np.linalg.qr
+    module.np_linalg_svd = np.linalg.svd
+    module.np_linalg_inv = np.linalg.inv
+    module.np_linalg_pinv = np.linalg.pinv
+    module.np_linalg_matrix_power = np.linalg.matrix_power
+    module.np_linalg_det = np.linalg.det
+    
+    module.sp_linalg_lu = lambda x: sp.linalg.lu(x, True)
+    module.sp_linalg_schur = sp.linalg.schur
+    module.sp_linalg_hessenberg = lambda x: sp.linalg.hessenberg(x, True)
 
 def file_import(filename, prefix="file_import_"):
     filename = pathlib.Path(filename)

nac3standalone/demo/linalg/Cargo.lock

@@ -0,0 +1,114 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 3
+
+[[package]]
+name = "approx"
+version = "0.5.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cab112f0a86d568ea0e627cc1d6be74a1e9cd55214684db5561995f6dad897c6"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "autocfg"
+version = "1.3.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0c4b4d0bd25bd0b74681c0ad21497610ce1b7c91b1022cd21c80c6fbdd9476b0"
+
+[[package]]
+name = "cslice"
+version = "0.3.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0f8cb7306107e4b10e64994de6d3274bd08996a7c1322a27b86482392f96be0a"
+
+[[package]]
+name = "libm"
+version = "0.2.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "4ec2a862134d2a7d32d7983ddcdd1c4923530833c9f2ea1a44fc5fa473989058"
+
+[[package]]
+name = "linalg"
+version = "0.1.0"
+dependencies = [
+ "cslice",
+ "nalgebra",
+]
+
+[[package]]
+name = "nalgebra"
+version = "0.32.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b5c17de023a86f59ed79891b2e5d5a94c705dbe904a5b5c9c952ea6221b03e4"
+dependencies = [
+ "approx",
+ "num-complex",
+ "num-rational",
+ "num-traits",
+ "simba",
+ "typenum",
+]
+
+[[package]]
+name = "num-complex"
+version = "0.4.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "73f88a1307638156682bada9d7604135552957b7818057dcef22705b4d509495"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "num-integer"
+version = "0.1.46"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7969661fd2958a5cb096e56c8e1ad0444ac2bbcd0061bd28660485a44879858f"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "f83d14da390562dca69fc84082e73e548e1ad308d24accdedd2720017cb37824"
+dependencies = [
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-traits"
+version = "0.2.19"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
+dependencies = [
+ "autocfg",
+ "libm",
+]
+
+[[package]]
+name = "paste"
+version = "1.0.15"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
+
+[[package]]
+name = "simba"
+version = "0.8.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "061507c94fc6ab4ba1c9a0305018408e312e17c041eb63bef8aa726fa33aceae"
+dependencies = [
+ "approx",
+ "num-complex",
+ "num-traits",
+ "paste",
+]
+
+[[package]]
+name = "typenum"
+version = "1.17.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"

nac3standalone/demo/linalg/Cargo.toml

@@ -0,0 +1,13 @@
+[package]
+name = "linalg"
+version = "0.1.0"
+edition = "2021"
+
+[lib]
+crate-type = ["staticlib"]
+
+[dependencies]
+nalgebra = {version = "0.32.6", default-features = false, features = ["libm", "alloc"]}
+cslice = "0.3.0"
+
+[workspace]

nac3standalone/demo/linalg/src/lib.rs

@@ -0,0 +1,406 @@
+// Uses `nalgebra` crate to invoke `np_linalg` and `sp_linalg` functions
+// When converting between `nalgebra::Matrix` and `NDArray` following considerations are necessary
+//
+// * Both `nalgebra::Matrix` and `NDArray` require their content to be stored in row-major order
+// * `NDArray` data pointer can be directly read and converted to `nalgebra::Matrix` (row and column number must be known)
+// * `nalgebra::Matrix::as_slice` returns the content of matrix in column-major order and initial data needs to be transposed before storing it in `NDArray` data pointer
+
+use core::slice;
+use nalgebra::DMatrix;
+
+fn report_error(
+    error_name: &str,
+    fn_name: &str,
+    file_name: &str,
+    line_num: u32,
+    col_num: u32,
+    err_msg: &str,
+) -> ! {
+    panic!(
+        "Exception {} from {} in {}:{}:{}, message: {}",
+        error_name, fn_name, file_name, line_num, col_num, err_msg
+    );
+}
+
+pub struct InputMatrix {
+    pub ndims: usize,
+    pub dims: *const usize,
+    pub data: *mut f64,
+}
+impl InputMatrix {
+    fn get_dims(&mut self) -> Vec<usize> {
+        let dims = unsafe { slice::from_raw_parts(self.dims, self.ndims) };
+        dims.to_vec()
+    }
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_cholesky(mat1: *mut InputMatrix, out: *mut InputMatrix) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out = out.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "np_linalg_cholesky", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+    if dim1[0] != dim1[1] {
+        let err_msg =
+            format!("last 2 dimensions of the array must be square: {0} != {1}", dim1[0], dim1[1]);
+        report_error("LinAlgError", "np_linalg_cholesky", file!(), line!(), column!(), &err_msg);
+    }
+
+    let outdim = out.get_dims();
+    let out_slice = unsafe { slice::from_raw_parts_mut(out.data, outdim[0] * outdim[1]) };
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+
+    let matrix1 = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let result = matrix1.cholesky();
+    match result {
+        Some(res) => {
+            out_slice.copy_from_slice(res.unpack().transpose().as_slice());
+        }
+        None => {
+            report_error(
+                "LinAlgError",
+                "np_linalg_cholesky",
+                file!(),
+                line!(),
+                column!(),
+                "Matrix is not positive definite",
+            );
+        }
+    };
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_qr(
+    mat1: *mut InputMatrix,
+    out_q: *mut InputMatrix,
+    out_r: *mut InputMatrix,
+) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out_q = out_q.as_mut().unwrap();
+    let out_r = out_r.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "np_linalg_cholesky", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+    let outq_dim = (*out_q).get_dims();
+    let outr_dim = (*out_r).get_dims();
+
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+    let out_q_slice = unsafe { slice::from_raw_parts_mut(out_q.data, outq_dim[0] * outq_dim[1]) };
+    let out_r_slice = unsafe { slice::from_raw_parts_mut(out_r.data, outr_dim[0] * outr_dim[1]) };
+
+    // Refer to https://github.com/dimforge/nalgebra/issues/735
+    let matrix1 = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+
+    let res = matrix1.qr();
+    let (q, r) = res.unpack();
+
+    // Uses different algo need to match numpy
+    out_q_slice.copy_from_slice(q.transpose().as_slice());
+    out_r_slice.copy_from_slice(r.transpose().as_slice());
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_svd(
+    mat1: *mut InputMatrix,
+    outu: *mut InputMatrix,
+    outs: *mut InputMatrix,
+    outvh: *mut InputMatrix,
+) {
+    let mat1 = mat1.as_mut().unwrap();
+    let outu = outu.as_mut().unwrap();
+    let outs = outs.as_mut().unwrap();
+    let outvh = outvh.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "np_linalg_svd", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+    let outu_dim = (*outu).get_dims();
+    let outs_dim = (*outs).get_dims();
+    let outvh_dim = (*outvh).get_dims();
+
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+    let out_u_slice = unsafe { slice::from_raw_parts_mut(outu.data, outu_dim[0] * outu_dim[1]) };
+    let out_s_slice = unsafe { slice::from_raw_parts_mut(outs.data, outs_dim[0]) };
+    let out_vh_slice =
+        unsafe { slice::from_raw_parts_mut(outvh.data, outvh_dim[0] * outvh_dim[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let result = matrix.svd(true, true);
+    out_u_slice.copy_from_slice(result.u.unwrap().transpose().as_slice());
+    out_s_slice.copy_from_slice(result.singular_values.as_slice());
+    out_vh_slice.copy_from_slice(result.v_t.unwrap().transpose().as_slice());
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_inv(mat1: *mut InputMatrix, out: *mut InputMatrix) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out = out.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "np_linalg_inv", file!(), line!(), column!(), &err_msg);
+    }
+    let dim1 = (*mat1).get_dims();
+
+    if dim1[0] != dim1[1] {
+        let err_msg =
+            format!("last 2 dimensions of the array must be square: {0} != {1}", dim1[0], dim1[1]);
+        report_error("LinAlgError", "np_linalg_inv", file!(), line!(), column!(), &err_msg);
+    }
+
+    let outdim = out.get_dims();
+    let out_slice = unsafe { slice::from_raw_parts_mut(out.data, outdim[0] * outdim[1]) };
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    if !matrix.is_invertible() {
+        report_error(
+            "LinAlgError",
+            "np_linalg_inv",
+            file!(),
+            line!(),
+            column!(),
+            "no inverse for Singular Matrix",
+        );
+    }
+    let inv = matrix.try_inverse().unwrap();
+    out_slice.copy_from_slice(inv.transpose().as_slice());
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_pinv(mat1: *mut InputMatrix, out: *mut InputMatrix) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out = out.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "np_linalg_pinv", file!(), line!(), column!(), &err_msg);
+    }
+    let dim1 = (*mat1).get_dims();
+    let outdim = out.get_dims();
+    let out_slice = unsafe { slice::from_raw_parts_mut(out.data, outdim[0] * outdim[1]) };
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let svd = matrix.svd(true, true);
+    let inv = svd.pseudo_inverse(1e-15);
+
+    match inv {
+        Ok(m) => {
+            out_slice.copy_from_slice(m.transpose().as_slice());
+        }
+        Err(err_msg) => {
+            report_error("LinAlgError", "np_linalg_pinv", file!(), line!(), column!(), err_msg);
+        }
+    }
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_matrix_power(
+    mat1: *mut InputMatrix,
+    mat2: *mut InputMatrix,
+    out: *mut InputMatrix,
+) {
+    let mat1 = mat1.as_mut().unwrap();
+    let mat2 = mat2.as_mut().unwrap();
+    let out = out.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D", mat1.ndims);
+        report_error("ValueError", "np_linalg_matrix_power", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+    let power = unsafe { slice::from_raw_parts_mut(mat2.data, 1) };
+    let power = power[0];
+    let outdim = out.get_dims();
+    let out_slice = unsafe { slice::from_raw_parts_mut(out.data, outdim[0] * outdim[1]) };
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+
+    let abs_pow = power.abs();
+    let matrix1 = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let mut result = matrix1.pow(abs_pow as u32);
+
+    if power < 0.0 {
+        if !result.is_invertible() {
+            report_error(
+                "LinAlgError",
+                "np_linalg_inv",
+                file!(),
+                line!(),
+                column!(),
+                "no inverse for Singular Matrix",
+            );
+        }
+        result = result.try_inverse().unwrap();
+    }
+    out_slice.copy_from_slice(result.transpose().as_slice());
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn np_linalg_det(mat1: *mut InputMatrix, out: *mut InputMatrix) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out = out.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "np_linalg_det", file!(), line!(), column!(), &err_msg);
+    }
+    let dim1 = (*mat1).get_dims();
+    let out_slice = unsafe { slice::from_raw_parts_mut(out.data, 1) };
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    if !matrix.is_square() {
+        let err_msg =
+            format!("last 2 dimensions of the array must be square: {0} != {1}", dim1[0], dim1[1]);
+        report_error("LinAlgError", "np_linalg_inv", file!(), line!(), column!(), &err_msg);
+    }
+    out_slice[0] = matrix.determinant();
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn sp_linalg_lu(
+    mat1: *mut InputMatrix,
+    out_l: *mut InputMatrix,
+    out_u: *mut InputMatrix,
+) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out_l = out_l.as_mut().unwrap();
+    let out_u = out_u.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "sp_linalg_lu", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+    let outl_dim = (*out_l).get_dims();
+    let outu_dim = (*out_u).get_dims();
+
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+    let out_l_slice = unsafe { slice::from_raw_parts_mut(out_l.data, outl_dim[0] * outl_dim[1]) };
+    let out_u_slice = unsafe { slice::from_raw_parts_mut(out_u.data, outu_dim[0] * outu_dim[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let (_, l, u) = matrix.lu().unpack();
+
+    out_l_slice.copy_from_slice(l.transpose().as_slice());
+    out_u_slice.copy_from_slice(u.transpose().as_slice());
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn sp_linalg_schur(
+    mat1: *mut InputMatrix,
+    out_t: *mut InputMatrix,
+    out_z: *mut InputMatrix,
+) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out_t = out_t.as_mut().unwrap();
+    let out_z = out_z.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "sp_linalg_schur", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+
+    if dim1[0] != dim1[1] {
+        let err_msg =
+            format!("last 2 dimensions of the array must be square: {0} != {1}", dim1[0], dim1[1]);
+        report_error("LinAlgError", "np_linalg_schur", file!(), line!(), column!(), &err_msg);
+    }
+
+    let out_t_dim = (*out_t).get_dims();
+    let out_z_dim = (*out_z).get_dims();
+
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+    let out_t_slice = unsafe { slice::from_raw_parts_mut(out_t.data, out_t_dim[0] * out_t_dim[1]) };
+    let out_z_slice = unsafe { slice::from_raw_parts_mut(out_z.data, out_z_dim[0] * out_z_dim[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let (z, t) = matrix.schur().unpack();
+
+    out_t_slice.copy_from_slice(t.transpose().as_slice());
+    out_z_slice.copy_from_slice(z.transpose().as_slice());
+}
+
+/// # Safety
+///
+/// `mat1` should point to a valid 2DArray of `f64` floats in row-major order
+#[no_mangle]
+pub unsafe extern "C" fn sp_linalg_hessenberg(
+    mat1: *mut InputMatrix,
+    out_h: *mut InputMatrix,
+    out_q: *mut InputMatrix,
+) {
+    let mat1 = mat1.as_mut().unwrap();
+    let out_h = out_h.as_mut().unwrap();
+    let out_q = out_q.as_mut().unwrap();
+
+    if mat1.ndims != 2 {
+        let err_msg = format!("expected 2D Vector Input, but received {}D input", mat1.ndims);
+        report_error("ValueError", "sp_linalg_hessenberg", file!(), line!(), column!(), &err_msg);
+    }
+
+    let dim1 = (*mat1).get_dims();
+
+    if dim1[0] != dim1[1] {
+        let err_msg =
+            format!("last 2 dimensions of the array must be square: {} != {}", dim1[0], dim1[1]);
+        report_error("LinAlgError", "sp_linalg_hessenberg", file!(), line!(), column!(), &err_msg);
+    }
+
+    let out_h_dim = (*out_h).get_dims();
+    let out_q_dim = (*out_q).get_dims();
+
+    let data_slice1 = unsafe { slice::from_raw_parts_mut(mat1.data, dim1[0] * dim1[1]) };
+    let out_h_slice = unsafe { slice::from_raw_parts_mut(out_h.data, out_h_dim[0] * out_h_dim[1]) };
+    let out_q_slice = unsafe { slice::from_raw_parts_mut(out_q.data, out_q_dim[0] * out_q_dim[1]) };
+
+    let matrix = DMatrix::from_row_slice(dim1[0], dim1[1], data_slice1);
+    let (q, h) = matrix.hessenberg().unpack();
+
+    out_h_slice.copy_from_slice(h.transpose().as_slice());
+    out_q_slice.copy_from_slice(q.transpose().as_slice());
+}

nac3standalone/demo/run_demo.sh

@@ -2,6 +2,9 @@
 
 set -e
 
+: "${DEMO_LINALG_STUB:=linalg/target/release/liblinalg.a}"
+: "${DEMO_LINALG_STUB32:=linalg/target/i686-unknown-linux-gnu/release/liblinalg.a}"
+
 if [ -z "$1" ]; then
     echo "No argument supplied"
     exit 1
@@ -11,25 +14,26 @@ declare -a nac3args
 while [ $# -ge 1 ]; do
   case "$1" in
     --help)
-      echo "Usage: run_demo.sh [--help] [--out OUTFILE] [--lli] [--debug] -- [NAC3ARGS...]"
+      echo "Usage: run_demo.sh [--help] [--out OUTFILE] [--debug] [-i686] -- [NAC3ARGS...] demo"
       exit
       ;;
     --out)
       shift
       outfile="$1"
       ;;
-    --lli)
-      use_lli=1
-      ;;
     --debug)
       debug=1
       ;;
+    -i686)
+      i686=1
+      ;;
     --)
       shift
       break
       ;;
     *)
-      break
+      echo "Unrecognized argument \"$1\""
+      exit 1
       ;;
   esac
   shift
@@ -50,29 +54,19 @@ else
 fi
 
 rm -f ./*.o ./*.bc demo
-if [ -z "$use_lli" ]; then
+
+if [ -z "$i686" ]; then
   $nac3standalone "${nac3args[@]}"
-
   clang -c -std=gnu11 -Wall -Wextra -O3 -o demo.o demo.c
-  clang -lm -o demo module.o demo.o
-
-  if [ -z "$outfile" ]; then
-    ./demo
-  else
-    ./demo > "$outfile"
-  fi
+  clang -o demo module.o demo.o $DEMO_LINALG_STUB -lm -Wl,--no-warn-search-mismatch
 else
-  $nac3standalone --emit-llvm "${nac3args[@]}"
-
-  clang -c -std=gnu11 -Wall -Wextra -O3 -emit-llvm -o demo.bc demo.c
-
-  shopt -s nullglob
-  llvm-link -o nac3out.bc module*.bc main.bc
-  shopt -u nullglob
-
-  if [ -z "$outfile" ]; then
-    lli --extra-module demo.bc --extra-module irrt.bc nac3out.bc
-  else
-    lli --extra-module demo.bc --extra-module irrt.bc nac3out.bc > "$outfile"
-  fi
+  $nac3standalone --triple i686-unknown-linux-gnu --target-features +sse2 "${nac3args[@]}"
+  clang -m32 -c -std=gnu11 -Wall -Wextra -O3 -msse2 -o demo.o demo.c
+  clang -m32 -o demo module.o demo.o $DEMO_LINALG_STUB32 -lm -Wl,--no-warn-search-mismatch
+fi
+
+if [ -z "$outfile" ]; then
+  ./demo
+else
+  ./demo > "$outfile"
 fi

nac3standalone/demo/src/assignment.py

@@ -0,0 +1,76 @@
+@extern
+def output_int32(x: int32):
+    ...
+
+@extern
+def output_bool(x: bool):
+    ...
+
+def example1():
+    x, *ys, z = (1, 2, 3, 4, 5)
+    output_int32(x)
+    output_int32(len(ys))
+    output_int32(ys[0])
+    output_int32(ys[1])
+    output_int32(ys[2])
+    output_int32(z)
+
+def example2():
+    x, y, *zs = (1, 2, 3, 4, 5)
+    output_int32(x)
+    output_int32(y)
+    output_int32(len(zs))
+    output_int32(zs[0])
+    output_int32(zs[1])
+    output_int32(zs[2])
+
+def example3():
+    *xs, y, z = (1, 2, 3, 4, 5)
+    output_int32(len(xs))
+    output_int32(xs[0])
+    output_int32(xs[1])
+    output_int32(xs[2])
+    output_int32(y)
+    output_int32(z)
+
+def example4():
+    *xs, y, z = (4, 5)
+    output_int32(len(xs))
+    output_int32(y)
+    output_int32(z)
+
+def example5():
+    # Example from: https://docs.python.org/3/reference/simple_stmts.html#assignment-statements
+    x = [0, 1]
+    i = 0
+    i, x[i] = 1, 2 # i is updated, then x[i] is updated
+    output_int32(i)
+    output_int32(x[0])
+    output_int32(x[1])
+
+class A:
+    value: int32
+    def __init__(self):
+        self.value = 1000
+
+def example6():
+    ws = [88, 7, 8]
+    a = A()
+    x, [y, *ys, a.value], ws[0], (ws[0],) = 1, (2, False, 4, 5), 99, (6,)
+    output_int32(x)
+    output_int32(y)
+    output_bool(ys[0])
+    output_int32(ys[1])
+    output_int32(a.value)
+    output_int32(ws[0])
+    output_int32(ws[1])
+    output_int32(ws[2])
+
+def run() -> int32:
+    example1()
+    example2()
+    example3()
+    example4()
+    example5()
+    example6()
+    return 0

nac3standalone/demo/src/classes.py

@@ -7,7 +7,7 @@ def output_int64(x: int64):
     ...
 
 @extern
-def output_str(x: str):
+def output_strln(x: str):
     ...
 
 
@@ -33,7 +33,7 @@ class A:
 
 class Initless:
     def foo(self):
-        output_str("hello")
+        output_strln("hello")
 
 def run() -> int32:
     a = A(10)

nac3standalone/demo/src/demo_test.py

@@ -22,6 +22,10 @@ def output_uint64(x: uint64):
 def output_float64(x: float):
     ...
 
+@extern
+def output_range(x: range):
+    ...
+
 @extern
 def output_int32_list(x: list[int32]):
     ...
@@ -34,6 +38,10 @@ def output_asciiart(x: int32):
 def output_str(x: str):
     ...
 
+@extern
+def output_strln(x: str):
+    ...
+
 def test_output_bool():
     output_bool(True)
     output_bool(False)
@@ -59,6 +67,15 @@ def test_output_float64():
     output_float64(16.25)
     output_float64(-16.25)
 
+def test_output_range():
+    r = range(1, 100, 5)
+    output_int32(r.start)
+    output_int32(r.stop)
+    output_int32(r.step)
+    output_range(range(10))
+    output_range(range(1, 10))
+    output_range(range(1, 10, 2))
+
 def test_output_asciiart():
     for i in range(17):
         output_asciiart(i)
@@ -68,7 +85,8 @@ def test_output_int32_list():
     output_int32_list([0, 1, 3, 5, 10])
 
 def test_output_str_family():
-    output_str("hello world")
+    output_str("hello")
+    output_strln(" world")
 
 def run() -> int32:
     test_output_bool()
@@ -77,6 +95,7 @@ def run() -> int32:
     test_output_uint32()
     test_output_uint64()
     test_output_float64()
+    test_output_range()
     test_output_asciiart()
     test_output_int32_list()
     test_output_str_family()

nac3standalone/demo/src/globals.py

@@ -0,0 +1,31 @@
+@extern
+def output_int32(x: int32):
+    ...
+
+@extern
+def output_int64(x: int64):
+    ...
+
+X: int32 = 0
+Y: int64 = int64(1)
+
+def f():
+    global X, Y
+    X = 1
+    Y = int64(2)
+
+def run() -> int32:
+    global X, Y
+
+    output_int32(X)
+    output_int64(Y)
+    f()
+    output_int32(X)
+    output_int64(Y)
+
+    X = 0
+    Y = int64(0)
+    output_int32(X)
+    output_int64(Y)
+
+    return 0

nac3standalone/demo/src/inheritance.py

@@ -10,23 +10,58 @@ class A:
     def __init__(self, a: int32):
         self.a = a
     
-    def f1(self):
-        self.f2()
-    
-    def f2(self):
+    def output_all_fields(self):
         output_int32(self.a)
+    
+    def set_a(self, a: int32):
+        self.a = a
 
 class B(A):
     b: int32
 
     def __init__(self, b: int32):
-        self.a = b + 1
+        A.__init__(self, b + 1)
+        self.set_b(b)
+    
+    def output_parent_fields(self):
+        A.output_all_fields(self)
+
+    def output_all_fields(self):
+        A.output_all_fields(self)
+        output_int32(self.b)
+    
+    def set_b(self, b: int32):
         self.b = b
 
+class C(B):
+    c: int32
+
+    def __init__(self, c: int32):
+        B.__init__(self, c + 1)
+        self.c = c
+    
+    def output_parent_fields(self):
+        B.output_all_fields(self)
+
+    def output_all_fields(self):
+        B.output_all_fields(self)
+        output_int32(self.c)
+    
+    def set_c(self, c: int32):
+        self.c = c
 
 def run() -> int32:
-    aaa = A(5)
-    bbb = B(2)
-    aaa.f1()
-    bbb.f1()
+    ccc = C(10)
+    ccc.output_all_fields()
+    ccc.set_a(1)
+    ccc.set_b(2)
+    ccc.set_c(3)
+    ccc.output_all_fields()
+
+    bbb = B(10)
+    bbb.set_a(9)
+    bbb.set_b(8)
+    bbb.output_all_fields()
+    ccc.output_all_fields()
+
     return 0

nac3standalone/demo/src/lists.py

@@ -1,3 +1,7 @@
+@extern
+def output_bool(x: bool):
+    ...
+
 @extern
 def output_int32_list(x: list[int32]):
     ...
@@ -30,6 +34,32 @@ def run() -> int32:
 
     get_list_slice()
     list_slice_assignment()
+
+    output_int32_list([1, 2, 3] + [4, 5, 6])
+    output_int32_list([1, 2, 3] * 3)
+    output_bool([] == [])
+    output_bool([0] == [])
+    output_bool([0] == [0])
+    output_bool([0, 1] == [0])
+    output_bool([0, 1] == [0, 1])
+    output_bool([] != [])
+    output_bool([0] != [])
+    output_bool([0] != [0])
+    output_bool([0] != [0, 1])
+    output_bool([0, 1] != [0, 1])
+    output_bool([] == [] == [])
+    output_bool([0] == [0] == [0])
+    output_bool([0, 1] == [0] == [0, 1])
+    output_bool([0, 1] == [0, 1] == [0])
+    output_bool([0] == [0, 1] == [0, 1])
+    output_bool([0, 1] == [0, 1] == [0, 1])
+    output_bool([] != [] != [])
+    output_bool([0] != [0] != [0])
+    output_bool([0, 1] != [0] != [0, 1])
+    output_bool([0, 1] != [0, 1] != [0])
+    output_bool([0] != [0, 1] != [0, 1])
+    output_bool([0, 1] != [0, 1] != [0, 1])
+
     return 0
 
 def get_list_slice():

nac3standalone/demo/src/loop_try_break.py

@@ -23,11 +23,12 @@ def run() -> int32:
                     output_int32(x)
                     output_str(" * ")
                     output_float64(n / x)
+                    output_str("\n")
             except:  # Assume this is intended to catch x == 0
                 break
         else:
             # loop fell through without finding a factor
             output_int32(n)
-            output_str(" is a prime number")
+            output_str(" is a prime number\n")
 
     return 0

nac3standalone/demo/src/math.py

@@ -37,7 +37,7 @@ def test_round64():
         output_int64(round64(x))
 
 def test_np_round():
-    for x in [-1.5, -0.5, 0.5, 1.5, dbl_inf(), -dbl_inf(), dbl_nan()]:
+    for x in [-1.5, -0.5, 0.5, 1.5, dbl_inf(), -dbl_inf(), dbl_nan(), 0.0, -0.0, 1.6, 1.4, -1.4, -1.6]:
         output_float64(np_round(x))
 
 def test_np_isnan():

nac3standalone/demo/src/ndarray.py

@@ -71,28 +71,65 @@ def output_ndarray_float_2(n: ndarray[float, Literal[2]]):
 def consume_ndarray_1(n: ndarray[float, Literal[1]]):
     pass
 
+def consume_ndarray_2(n: ndarray[float, Literal[2]]):
+    pass
+
 def test_ndarray_ctor():
     n: ndarray[float, Literal[1]] = np_ndarray([1])
     consume_ndarray_1(n)
 
 def test_ndarray_empty():
-    n: ndarray[float, 1] = np_empty([1])
-    consume_ndarray_1(n)
+    n1: ndarray[float, 1] = np_empty([1])
+    consume_ndarray_1(n1)
+
+    n2: ndarray[float, 1] = np_empty(10)
+    consume_ndarray_1(n2)
+
+    n3: ndarray[float, 1] = np_empty((2,))
+    consume_ndarray_1(n3)
+
+    n4: ndarray[float, 2] = np_empty((4, 4))
+    consume_ndarray_2(n4)
+
+    dim4 = (5, 2)
+    n5: ndarray[float, 2] = np_empty(dim4)
+    consume_ndarray_2(n5)
 
 def test_ndarray_zeros():
-    n: ndarray[float, 1] = np_zeros([1])
-    output_ndarray_float_1(n)
+    n1: ndarray[float, 1] = np_zeros([1])
+    output_ndarray_float_1(n1)
+
+    k = 3 + int32(n1[0]) # to test variable shape inputs
+    n2: ndarray[float, 1] = np_zeros(k * k)
+    output_ndarray_float_1(n2)
+
+    n3: ndarray[float, 1] = np_zeros((k * 2,))
+    output_ndarray_float_1(n3)
+
+    dim4 = (3, 2 * k)
+    n4: ndarray[float, 2] = np_zeros(dim4)
+    output_ndarray_float_2(n4)
 
 def test_ndarray_ones():
     n: ndarray[float, 1] = np_ones([1])
     output_ndarray_float_1(n)
 
+    dim = (1,)
+    n_tup: ndarray[float, 1] = np_ones(dim)
+    output_ndarray_float_1(n_tup)
+
 def test_ndarray_full():
     n_float: ndarray[float, 1] = np_full([1], 2.0)
     output_ndarray_float_1(n_float)
     n_i32: ndarray[int32, 1] = np_full([1], 2)
     output_ndarray_int32_1(n_i32)
 
+    dim = (1,)
+    n_float_tup: ndarray[float, 1] = np_full(dim, 2.0)
+    output_ndarray_float_1(n_float_tup)
+    n_i32_tup: ndarray[int32, 1] = np_full(dim, 2)
+    output_ndarray_int32_1(n_i32_tup)
+
 def test_ndarray_eye():
     n: ndarray[float, 2] = np_eye(2)
     output_ndarray_float_2(n)
@@ -840,6 +877,13 @@ def test_ndarray_minimum_broadcast_rhs_scalar():
     output_ndarray_float_2(min_x_zeros)
     output_ndarray_float_2(min_x_ones)
 
+def test_ndarray_argmin():
+    x = np_array([[1., 2.], [3., 4.]])
+    y = np_argmin(x)
+
+    output_ndarray_float_2(x)
+    output_int64(y)
+
 def test_ndarray_max():
     x = np_identity(2)
     y = np_max(x)
@@ -883,6 +927,13 @@ def test_ndarray_maximum_broadcast_rhs_scalar():
     output_ndarray_float_2(max_x_zeros)
     output_ndarray_float_2(max_x_ones)
 
+def test_ndarray_argmax():
+    x = np_array([[1., 2.], [3., 4.]])
+    y = np_argmax(x)
+
+    output_ndarray_float_2(x)
+    output_int64(y)
+
 def test_ndarray_abs():
     x = np_identity(2)
     y = abs(x)
@@ -1388,47 +1439,141 @@ def test_ndarray_nextafter_broadcast_rhs_scalar():
     output_ndarray_float_2(nextafter_x_zeros)
     output_ndarray_float_2(nextafter_x_ones)
 
-def test_ndarray_any():
-    x1 = np_identity(5)
-    y1 = np_any(x1)
-    output_ndarray_float_2(x1)
-    output_bool(y1)
+def test_ndarray_transpose():
+    x: ndarray[float, 2] = np_array([[1., 2., 3.], [4., 5., 6.]])
+    y = np_transpose(x)
+    z = np_transpose(y)
 
-    x2 = np_identity(1)
-    y2 = np_any(x2)
-    output_ndarray_float_2(x2)
-    output_bool(y2)
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
 
-    x3 = np_array([[1.0, 2.0], [3.0, 4.0]])
-    y3 = np_any(x3)
-    output_ndarray_float_2(x3)
-    output_bool(y3)
+def test_ndarray_reshape():
+    w: ndarray[float, 1] = np_array([1., 2., 3., 4., 5., 6., 7., 8., 9., 10.])
+    x = np_reshape(w, (1, 2, 1, -1))
+    y = np_reshape(x, [2, -1])
+    z = np_reshape(y, 10)
 
-    x4 = np_zeros([3, 5])
-    y4 = np_any(x4)
-    output_ndarray_float_2(x4)
-    output_bool(y4)
+    x1: ndarray[int32, 1] = np_array([1, 2, 3, 4])
+    x2: ndarray[int32, 2] = np_reshape(x1, (2, 2))
 
-def test_ndarray_all():
-    x1 = np_identity(5)
-    y1 = np_all(x1)
-    output_ndarray_float_2(x1)
-    output_bool(y1)
+    output_ndarray_float_1(w)
+    output_ndarray_float_2(y)
+    output_ndarray_float_1(z)
 
-    x2 = np_identity(1)
-    y2 = np_all(x2)
-    output_ndarray_float_2(x2)
-    output_bool(y2)
+def test_ndarray_dot():
+    x1: ndarray[float, 1] = np_array([5.0, 1.0, 4.0, 2.0])
+    y1: ndarray[float, 1] = np_array([5.0, 1.0, 6.0, 6.0])
+    z1 = np_dot(x1, y1)
 
-    x3 = np_array([[1.0, 2.0], [3.0, 4.0]])
-    y3 = np_all(x3)
-    output_ndarray_float_2(x3)
-    output_bool(y3)
+    x2: ndarray[int32, 1] = np_array([5, 1, 4, 2])
+    y2: ndarray[int32, 1] = np_array([5, 1, 6, 6])
+    z2 = np_dot(x2, y2)
+
+    x3: ndarray[bool, 1] = np_array([True, True, True, True])
+    y3: ndarray[bool, 1] = np_array([True, True, True, True])
+    z3 = np_dot(x3, y3)
+
+    z4 = np_dot(2, 3)
+    z5 = np_dot(2., 3.)
+    z6 = np_dot(True, False)
+
+    output_float64(z1)
+    output_int32(z2)
+    output_bool(z3)
+    output_int32(z4)
+    output_float64(z5)
+    output_bool(z6)
+
+def test_ndarray_cholesky():
+    x: ndarray[float, 2] = np_array([[5.0, 1.0], [1.0, 4.0]])
+    y = np_linalg_cholesky(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_qr():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y, z  = np_linalg_qr(x)
+
+    output_ndarray_float_2(x)
+
+    # QR Factorization is not unique and gives different results in numpy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = y @ z
+    output_ndarray_float_2(a)
+
+def test_ndarray_linalg_inv():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y = np_linalg_inv(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_pinv():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5]])
+    y = np_linalg_pinv(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_matrix_power():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y = np_linalg_matrix_power(x, -9)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_det():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y = np_linalg_det(x)
+
+    output_ndarray_float_2(x)
+    output_float64(y)
+
+def test_ndarray_schur():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    t, z = sp_linalg_schur(x)
+
+    output_ndarray_float_2(x)
+
+    # Schur Factorization is not unique and gives different results in scipy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = (z @ t) @ np_linalg_inv(z)
+    output_ndarray_float_2(a)
+
+def test_ndarray_hessenberg():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 5.0, 8.5]])
+    h, q = sp_linalg_hessenberg(x)
+
+    output_ndarray_float_2(x)
+
+    # Hessenberg Factorization is not unique and gives different results in scipy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = (q @ h) @ np_linalg_inv(q)
+    output_ndarray_float_2(a)
+
+
+def test_ndarray_lu():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5]])
+    l, u = sp_linalg_lu(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(l)
+    output_ndarray_float_2(u)
+
+
+def test_ndarray_svd():
+    w: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    x, y, z = np_linalg_svd(w)
+
+    output_ndarray_float_2(w)
+
+    # SVD Factorization is not unique and gives different results in numpy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = x @ z
+    output_ndarray_float_2(a)
+    output_ndarray_float_1(y)
 
-    x4 = np_zeros([3, 5])
-    y4 = np_all(x4)
-    output_ndarray_float_2(x4)
-    output_bool(y4)
 
 def run() -> int32:
     test_ndarray_ctor()
@@ -1534,16 +1679,19 @@ def run() -> int32:
 
     test_ndarray_round()
     test_ndarray_floor()
+    test_ndarray_ceil()
     test_ndarray_min()
     test_ndarray_minimum()
     test_ndarray_minimum_broadcast()
     test_ndarray_minimum_broadcast_lhs_scalar()
     test_ndarray_minimum_broadcast_rhs_scalar()
+    test_ndarray_argmin()
     test_ndarray_max()
     test_ndarray_maximum()
     test_ndarray_maximum_broadcast()
     test_ndarray_maximum_broadcast_lhs_scalar()
     test_ndarray_maximum_broadcast_rhs_scalar()
+    test_ndarray_argmax()
     test_ndarray_abs()
     test_ndarray_isnan()
     test_ndarray_isinf()
@@ -1606,8 +1754,18 @@ def run() -> int32:
     test_ndarray_nextafter_broadcast()
     test_ndarray_nextafter_broadcast_lhs_scalar()
     test_ndarray_nextafter_broadcast_rhs_scalar()
-
-    test_ndarray_any()
-    test_ndarray_all()
-
+    test_ndarray_transpose()
+    test_ndarray_reshape()
+    
+    test_ndarray_dot()
+    test_ndarray_cholesky()
+    test_ndarray_qr()
+    test_ndarray_svd()
+    test_ndarray_linalg_inv()
+    test_ndarray_pinv()
+    test_ndarray_matrix_power()
+    test_ndarray_det()
+    test_ndarray_lu()
+    test_ndarray_schur()
+    test_ndarray_hessenberg()
     return 0

nac3standalone/demo/src/str.py

@@ -0,0 +1,30 @@
+@extern
+def output_bool(x: bool):
+    ...
+
+
+def str_eq():
+    output_bool("" == "")
+    output_bool("a" == "")
+    output_bool("a" == "b")
+    output_bool("b" == "a")
+    output_bool("a" == "a")
+    output_bool("test string" == "test string")
+    output_bool("test string1" == "test string2")
+
+
+def str_ne():
+    output_bool("" != "")
+    output_bool("a" != "")
+    output_bool("a" != "b")
+    output_bool("b" != "a")
+    output_bool("a" != "a")
+    output_bool("test string" != "test string")
+    output_bool("test string1" != "test string2")
+
+
+def run() -> int32:
+    str_eq()
+    str_ne()
+
+    return 0

nac3standalone/demo/src/tuple.py

@@ -1,3 +1,7 @@
+@extern
+def output_bool(b: bool):
+    ...
+
 @extern
 def output_int32_list(x: list[int32]):
     ...
@@ -13,6 +17,41 @@ class A:
         self.a = a
         self.b = b
 
+
+def test_tuple_eq():
+    # 0-len
+    output_bool(() == ())
+    # 1-len
+    output_bool((1,) == ())
+    output_bool(() == (1,))
+    output_bool((1,) == (1,))
+    output_bool((1,) == (2,))
+    # # 2-len
+    output_bool((1, 2) == ())
+    output_bool(() == (1, 2))
+    output_bool((1,) == (1, 2))
+    output_bool((1, 2) == (1,))
+    output_bool((2, 2) == (1, 2))
+    output_bool((1, 2) == (2, 2))
+
+
+def test_tuple_ne():
+    # 0-len
+    output_bool(() != ())
+    # 1-len
+    output_bool((1,) != ())
+    output_bool(() != (1,))
+    output_bool((1,) != (1,))
+    output_bool((1,) != (2,))
+    # 2-len
+    output_bool((1, 2) != ())
+    output_bool(() != (1, 2))
+    output_bool((1,) != (1, 2))
+    output_bool((1, 2) != (1,))
+    output_bool((2, 2) != (1, 2))
+    output_bool((1, 2) != (2, 2))
+
+
 def run() -> int32:
     data = [0, 1, 2, 3]
 
@@ -25,5 +64,15 @@ def run() -> int32:
         output_int32(tl[0][0])
         output_int32(tl[0][1])
         output_int32(tl[1])
-    
+
+    output_int32(len(()))
+    output_int32(len((1,)))
+    output_int32(len((1, 2)))
+    output_int32(len((1, 2, 3)))
+    output_int32(len((1, 2, 3, 4)))
+    output_int32(len((1, 2, 3, 4, 5)))
+
+    test_tuple_eq()
+    test_tuple_ne()
+
     return 0

nac3standalone/demo/src/vararg.py

@@ -0,0 +1,11 @@
+def f(*args: int32):
+    pass
+
+
+def run() -> int32:
+    f()
+    f(1)
+    f(1, 2)
+    f(1, 2, 3)
+
+    return 0

nac3standalone/src/basic_symbol_resolver.rs

@@ -1,5 +1,14 @@
+use std::{
+    collections::{HashMap, HashSet},
+    sync::Arc,
+};
+
+use parking_lot::{Mutex, RwLock};
+
 use nac3core::{
-    codegen::CodeGenContext,
+    codegen::{CodeGenContext, CodeGenerator},
+    inkwell::{module::Linkage, values::BasicValue},
+    nac3parser::ast::{self, StrRef},
     symbol_resolver::{SymbolResolver, SymbolValue, ValueEnum},
     toplevel::{DefinitionId, TopLevelDef},
     typecheck::{
@@ -7,15 +16,10 @@ use nac3core::{
         typedef::{Type, Unifier},
     },
 };
-use nac3parser::ast::{self, StrRef};
-use parking_lot::{Mutex, RwLock};
-use std::collections::HashSet;
-use std::{collections::HashMap, sync::Arc};
 
 pub struct ResolverInternal {
     pub id_to_type: Mutex<HashMap<StrRef, Type>>,
     pub id_to_def: Mutex<HashMap<StrRef, DefinitionId>>,
-    pub class_names: Mutex<HashMap<StrRef, Type>>,
     pub module_globals: Mutex<HashMap<StrRef, SymbolValue>>,
     pub str_store: Mutex<HashMap<String, i32>>,
 }
@@ -46,20 +50,51 @@ impl SymbolResolver for Resolver {
 
     fn get_symbol_type(
         &self,
-        _: &mut Unifier,
+        unifier: &mut Unifier,
         _: &[Arc<RwLock<TopLevelDef>>],
-        _: &PrimitiveStore,
+        primitives: &PrimitiveStore,
         str: StrRef,
     ) -> Result<Type, String> {
-        self.0.id_to_type.lock().get(&str).copied().ok_or(format!("cannot get type of {str}"))
+        self.0
+            .id_to_type
+            .lock()
+            .get(&str)
+            .copied()
+            .or_else(|| {
+                self.0
+                    .module_globals
+                    .lock()
+                    .get(&str)
+                    .cloned()
+                    .map(|v| v.get_type(primitives, unifier))
+            })
+            .ok_or(format!("cannot get type of {str}"))
     }
 
     fn get_symbol_value<'ctx>(
         &self,
-        _: StrRef,
-        _: &mut CodeGenContext<'ctx, '_>,
+        str: StrRef,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
-        unimplemented!()
+        self.0.module_globals.lock().get(&str).cloned().map(|v| {
+            ctx.module
+                .get_global(&str.to_string())
+                .unwrap_or_else(|| {
+                    let ty = v.get_type(&ctx.primitives, &mut ctx.unifier);
+
+                    let init_val = ctx.gen_symbol_val(generator, &v, ty);
+                    let llvm_ty = init_val.get_type();
+
+                    let global = ctx.module.add_global(llvm_ty, None, &str.to_string());
+                    global.set_linkage(Linkage::LinkOnceAny);
+                    global.set_initializer(&init_val);
+
+                    global
+                })
+                .as_basic_value_enum()
+                .into()
+        })
     }
 
     fn get_identifier_def(&self, id: StrRef) -> Result<DefinitionId, HashSet<String>> {

nac3standalone/src/main.rs

@@ -8,21 +8,30 @@
 #![warn(clippy::pedantic)]
 #![allow(clippy::too_many_lines, clippy::wildcard_imports)]
 
-use clap::Parser;
-use inkwell::{
-    memory_buffer::MemoryBuffer, passes::PassBuilderOptions, support::is_multithreaded, targets::*,
-    OptimizationLevel,
+use std::{
+    collections::{HashMap, HashSet},
+    fs,
+    num::NonZeroUsize,
+    path::Path,
+    sync::Arc,
 };
+
+use clap::Parser;
 use parking_lot::{Mutex, RwLock};
-use std::collections::HashSet;
-use std::num::NonZeroUsize;
-use std::{collections::HashMap, fs, path::Path, sync::Arc};
 
 use nac3core::{
     codegen::{
         concrete_type::ConcreteTypeStore, irrt::load_irrt, CodeGenLLVMOptions,
         CodeGenTargetMachineOptions, CodeGenTask, DefaultCodeGenerator, WithCall, WorkerRegistry,
     },
+    inkwell::{
+        memory_buffer::MemoryBuffer, module::Linkage, passes::PassBuilderOptions,
+        support::is_multithreaded, targets::*, OptimizationLevel,
+    },
+    nac3parser::{
+        ast::{Constant, Expr, ExprKind, StmtKind, StrRef},
+        parser,
+    },
     symbol_resolver::SymbolResolver,
     toplevel::{
         composer::{ComposerConfig, TopLevelComposer},
@@ -35,10 +44,6 @@ use nac3core::{
         typedef::{FunSignature, Type, Unifier, VarMap},
     },
 };
-use nac3parser::{
-    ast::{Constant, Expr, ExprKind, StmtKind, StrRef},
-    parser,
-};
 
 mod basic_symbol_resolver;
 use basic_symbol_resolver::*;
@@ -113,7 +118,9 @@ fn handle_typevar_definition(
                         x,
                         HashMap::new(),
                     )?;
-                    get_type_from_type_annotation_kinds(def_list, unifier, &ty, &mut None)
+                    get_type_from_type_annotation_kinds(
+                        def_list, unifier, primitives, &ty, &mut None,
+                    )
                 })
                 .collect::<Result<Vec<_>, _>>()?;
             let loc = func.location;
@@ -152,7 +159,7 @@ fn handle_typevar_definition(
                 HashMap::new(),
             )?;
             let constraint =
-                get_type_from_type_annotation_kinds(def_list, unifier, &ty, &mut None)?;
+                get_type_from_type_annotation_kinds(def_list, unifier, primitives, &ty, &mut None)?;
             let loc = func.location;
 
             Ok(unifier.get_fresh_const_generic_var(constraint, Some(generic_name), Some(loc)).ty)
@@ -238,9 +245,35 @@ fn handle_assignment_pattern(
     }
 }
 
-fn main() {
-    const SIZE_T: u32 = usize::BITS;
+fn handle_global_var(
+    target: &Expr,
+    value: Option<&Expr>,
+    resolver: &(dyn SymbolResolver + Send + Sync),
+    internal_resolver: &ResolverInternal,
+) -> Result<(), String> {
+    let ExprKind::Name { id, .. } = target.node else {
+        return Err(format!(
+            "global variable declaration must be an identifier (at {})",
+            target.location,
+        ));
+    };
 
+    let Some(value) = value else {
+        return Err(format!("global variable `{id}` must be initialized in its definition"));
+    };
+
+    if let Ok(val) = parse_parameter_default_value(value, resolver) {
+        internal_resolver.add_module_global(id, val);
+        Ok(())
+    } else {
+        Err(format!(
+            "failed to evaluate this expression `{:?}` as a constant at {}",
+            target.node, target.location,
+        ))
+    }
+}
+
+fn main() {
     let cli = CommandLineArgs::parse();
     let CommandLineArgs { file_name, threads, opt_level, emit_llvm, triple, mcpu, target_features } =
         cli;
@@ -273,22 +306,36 @@ fn main() {
         _ => OptimizationLevel::Aggressive,
     };
 
+    let target_machine_options = CodeGenTargetMachineOptions {
+        triple,
+        cpu: mcpu,
+        features: target_features,
+        reloc_mode: RelocMode::PIC,
+        ..host_target_machine
+    };
+    let target_machine = target_machine_options
+        .create_target_machine(opt_level)
+        .expect("couldn't create target machine");
+
+    let context = nac3core::inkwell::context::Context::create();
+
+    let size_t =
+        context.ptr_sized_int_type(&target_machine.get_target_data(), None).get_bit_width();
+
     let program = match fs::read_to_string(file_name.clone()) {
         Ok(program) => program,
         Err(err) => {
-            println!("Cannot open input file: {err}");
-            return;
+            panic!("Cannot open input file: {err}");
         }
     };
 
-    let primitive: PrimitiveStore = TopLevelComposer::make_primitives(SIZE_T).0;
+    let primitive: PrimitiveStore = TopLevelComposer::make_primitives(size_t).0;
     let (mut composer, builtins_def, builtins_ty) =
-        TopLevelComposer::new(vec![], ComposerConfig::default(), SIZE_T);
+        TopLevelComposer::new(vec![], vec![], ComposerConfig::default(), size_t);
 
     let internal_resolver: Arc<ResolverInternal> = ResolverInternal {
         id_to_type: builtins_ty.into(),
         id_to_def: builtins_def.into(),
-        class_names: Mutex::default(),
         module_globals: Mutex::default(),
         str_store: Mutex::default(),
     }
@@ -296,6 +343,13 @@ fn main() {
     let resolver =
         Arc::new(Resolver(internal_resolver.clone())) as Arc<dyn SymbolResolver + Send + Sync>;
 
+    // Process IRRT
+    let irrt = load_irrt(&context, resolver.as_ref());
+    if emit_llvm {
+        irrt.write_bitcode_to_path(Path::new("irrt.bc"));
+    }
+
+    // Process the Python script
     let parser_result = parser::parse_program(&program, file_name.into()).unwrap();
 
     for stmt in parser_result {
@@ -313,10 +367,26 @@ fn main() {
                     unifier,
                     primitives,
                 ) {
-                    eprintln!("{err}");
-                    return;
+                    panic!("{err}");
                 }
             }
+
+            StmtKind::AnnAssign { target, value, .. } => {
+                if let Err(err) = handle_global_var(
+                    target,
+                    value.as_ref().map(Box::as_ref),
+                    resolver.as_ref(),
+                    internal_resolver.as_ref(),
+                ) {
+                    panic!("{err}");
+                }
+
+                let (name, def_id, _) = composer
+                    .register_top_level(stmt, Some(resolver.clone()), "__main__", true)
+                    .unwrap();
+                internal_resolver.add_id_def(name, def_id);
+            }
+
             // allow (and ignore) "from __future__ import annotations"
             StmtKind::ImportFrom { module, names, .. }
                 if module == &Some("__future__".into())
@@ -340,7 +410,19 @@ fn main() {
     let signature = store.from_signature(&mut composer.unifier, &primitive, &signature, &mut cache);
     let signature = store.add_cty(signature);
 
-    composer.start_analysis(true).unwrap();
+    if let Err(errors) = composer.start_analysis(true) {
+        let error_count = errors.len();
+        eprintln!("{error_count} error(s) occurred during top level analysis.");
+
+        for (error_i, error) in errors.iter().enumerate() {
+            let error_num = error_i + 1;
+            eprintln!("=========== ERROR {error_num}/{error_count} ============");
+            eprintln!("{error}");
+        }
+        eprintln!("==================================");
+
+        panic!("top level analysis failed");
+    }
 
     let top_level = Arc::new(composer.make_top_level_context());
 
@@ -359,16 +441,7 @@ fn main() {
         instance_to_stmt[""].clone()
     };
 
-    let llvm_options = CodeGenLLVMOptions {
-        opt_level,
-        target: CodeGenTargetMachineOptions {
-            triple,
-            cpu: mcpu,
-            features: target_features,
-            reloc_mode: RelocMode::PIC,
-            ..host_target_machine
-        },
-    };
+    let llvm_options = CodeGenLLVMOptions { opt_level, target: target_machine_options };
 
     let task = CodeGenTask {
         subst: Vec::default(),
@@ -391,14 +464,14 @@ fn main() {
         membuffer.lock().push(buffer);
     })));
     let threads = (0..threads)
-        .map(|i| Box::new(DefaultCodeGenerator::new(format!("module{i}"), SIZE_T)))
+        .map(|i| Box::new(DefaultCodeGenerator::new(format!("module{i}"), size_t)))
         .collect();
     let (registry, handles) = WorkerRegistry::create_workers(threads, top_level, &llvm_options, &f);
     registry.add_task(task);
     registry.wait_tasks_complete(handles);
 
+    // Link all modules together into `main`
     let buffers = membuffers.lock();
-    let context = inkwell::context::Context::create();
     let main = context
         .create_module_from_ir(MemoryBuffer::create_from_memory_range(&buffers[0], "main"))
         .unwrap();
@@ -418,25 +491,18 @@ fn main() {
         main.link_in_module(other).unwrap();
     }
 
-    let irrt = load_irrt(&context);
-    if emit_llvm {
-        irrt.write_bitcode_to_path(Path::new("irrt.bc"));
-    }
     main.link_in_module(irrt).unwrap();
 
+    // Private all functions except "run"
     let mut function_iter = main.get_first_function();
     while let Some(func) = function_iter {
         if func.count_basic_blocks() > 0 && func.get_name().to_str().unwrap() != "run" {
-            func.set_linkage(inkwell::module::Linkage::Private);
+            func.set_linkage(Linkage::Private);
         }
         function_iter = func.get_next_function();
     }
 
-    let target_machine = llvm_options
-        .target
-        .create_target_machine(llvm_options.opt_level)
-        .expect("couldn't create target machine");
-
+    // Optimize `main`
     let pass_options = PassBuilderOptions::create();
     pass_options.set_merge_functions(true);
     let passes = format!("default<O{}>", opt_level as u32);
@@ -445,6 +511,7 @@ fn main() {
         panic!("Failed to run optimization for module `main`: {}", err.to_string());
     }
 
+    // Write output
     target_machine
         .write_to_file(&main, FileType::Object, Path::new("module.o"))
         .expect("couldn't write module to file");

nix/windows/PKGBUILD

@@ -21,6 +21,6 @@ build() {
 }
 
 package() {
-  mkdir -p $pkgdir/clang64/lib/python3.11/site-packages
-  cp ${srcdir}/nac3artiq.pyd $pkgdir/clang64/lib/python3.11/site-packages
+  mkdir -p $pkgdir/clang64/lib/python3.12/site-packages
+  cp ${srcdir}/nac3artiq.pyd $pkgdir/clang64/lib/python3.12/site-packages
 }

nix/windows/default.nix

@@ -21,10 +21,10 @@ let
     text =
       ''
       implementation=CPython
-      version=3.11
+      version=3.12
       shared=true
       abi3=false
-      lib_name=python3.11
+      lib_name=python3.12
       lib_dir=${msys2-env}/clang64/lib
       pointer_width=64
       build_flags=WITH_THREAD

nix/windows/make_msys2_packages.sh

@@ -6,11 +6,11 @@ cd $(dirname $0)
 MSYS2DIR=`pwd`/msys2
 mkdir -p $MSYS2DIR/var/lib/pacman $MSYS2DIR/msys/etc
 
-curl -L https://mirror.msys2.org/msys/x86_64/pacman-mirrors-20220205-1-any.pkg.tar.zst | tar xvf - -C $MSYS2DIR --zstd
+curl -L https://repo.msys2.org/msys/x86_64/pacman-mirrors-20240523-1-any.pkg.tar.zst | tar xvf - -C $MSYS2DIR --zstd
 curl -L https://raw.githubusercontent.com/msys2/MSYS2-packages/master/pacman/pacman.conf | sed "s|SigLevel    = Required|SigLevel    = Never|g" | sed "s|/etc/pacman.d|$MSYS2DIR/etc/pacman.d|g" > $MSYS2DIR/etc/pacman.conf
 
 fakeroot pacman --root $MSYS2DIR --config $MSYS2DIR/etc/pacman.conf -Syy
-pacman --root $MSYS2DIR --config $MSYS2DIR/etc/pacman.conf --cachedir $MSYS2DIR/msys/cache -Sp mingw-w64-clang-x86_64-rust mingw-w64-clang-x86_64-cmake mingw-w64-clang-x86_64-ninja mingw-w64-clang-x86_64-python3.11 mingw-w64-clang-x86_64-python-numpy mingw-w64-clang-x86_64-python-setuptools > $MSYS2DIR/packages.txt
+pacman --root $MSYS2DIR --config $MSYS2DIR/etc/pacman.conf --cachedir $MSYS2DIR/msys/cache -Sp mingw-w64-clang-x86_64-rust mingw-w64-clang-x86_64-cmake mingw-w64-clang-x86_64-ninja mingw-w64-clang-x86_64-python-numpy mingw-w64-clang-x86_64-python-setuptools > $MSYS2DIR/packages.txt
 
 echo "{ pkgs } : [" > msys2_packages.nix
 while read package; do

nix/windows/msys2_packages.nix

@@ -1,15 +1,15 @@
 { pkgs } : [
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunwind-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "0ksz7xz1lbwsmdr9sa1444k0dlfkbd8k11pq7w08ir7r1wjy6fid";
-  name = "mingw-w64-clang-x86_64-libunwind-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunwind-18.1.8-2-any.pkg.tar.zst";
+  sha256 = "0f9m76dx40iy794nfks0360gvjhdg6yngb2lyhwp4xd76rn5081m";
+  name = "mingw-w64-clang-x86_64-libunwind-18.1.8-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libc++-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "0r8skyjqv4cpkqif0niakx4hdpkscil1zf6mzj34pqna0j5gdnq2";
-  name = "mingw-w64-clang-x86_64-libc++-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libc++-18.1.8-2-any.pkg.tar.zst";
+  sha256 = "17savj9wys9my2ji7vyba7wwqkvzdjwnkb3k4858wxrjbzbfa6lk";
+  name = "mingw-w64-clang-x86_64-libc++-18.1.8-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -31,9 +31,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-xz-5.6.1-1-any.pkg.tar.zst";
-  sha256 = "14p4xxaxjjy6j1ingji82xhai1mc1gls5ali6z40fbb2ylxkaggs";
-  name = "mingw-w64-clang-x86_64-xz-5.6.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-xz-5.6.2-2-any.pkg.tar.zst";
+  sha256 = "0phb9hwqksk1rg29yhwlc7si78zav19c2kac0i841pc7mc2n9gzx";
+  name = "mingw-w64-clang-x86_64-xz-5.6.2-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -43,93 +43,93 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libxml2-2.12.6-1-any.pkg.tar.zst";
-  sha256 = "177b3rmsknqq6hf0zqwva71s3avh20ca7vzznp2ls2z5qm8vhhlp";
-  name = "mingw-w64-clang-x86_64-libxml2-2.12.6-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libxml2-2.12.9-1-any.pkg.tar.zst";
+  sha256 = "0cjz2vj9yz6k5xj601cp0yk631rrr0z94ciamwqrvclb0yhakf25";
+  name = "mingw-w64-clang-x86_64-libxml2-2.12.9-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-zstd-1.5.5-1-any.pkg.tar.zst";
-  sha256 = "07739wmwgxf0d6db4p8w302a6jwcm01aafr1s8jvcl5k1h5a1m2m";
-  name = "mingw-w64-clang-x86_64-zstd-1.5.5-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-zstd-1.5.6-2-any.pkg.tar.zst";
+  sha256 = "02cp5ci8w50k7xn38mpkwnr8sn898v18wcc07y8f9sfla7vcyfix";
+  name = "mingw-w64-clang-x86_64-zstd-1.5.6-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-libs-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "0ibiy01v16naik9pj32ch7a9pkbw4yrn3gyq7p0y6kcc63fkjazy";
-  name = "mingw-w64-clang-x86_64-llvm-libs-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-libs-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "0rpbgvvinsqflhd3nhfxk0g0yy8j80zzw5yx6573ak0m78a9fa06";
+  name = "mingw-w64-clang-x86_64-llvm-libs-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "1hcfz6nb6svmmcqzfrdi96az2x7mzj0cispdv2ssbgn7nkf19pi0";
-  name = "mingw-w64-clang-x86_64-llvm-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "185g5h8q3x3rav9lp2njln58ny2idh2067fd02j3nsbik6glshpf";
+  name = "mingw-w64-clang-x86_64-llvm-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-libs-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "1k17d18g7rmq2ph4kq1mf84vs8133jzf52nkv6syh39ypjga67wa";
-  name = "mingw-w64-clang-x86_64-clang-libs-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-libs-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "089hji3yd7wsd03v9mdfgc99l5k1dql8kg7p3hy13vrbgfsabxhc";
+  name = "mingw-w64-clang-x86_64-clang-libs-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-compiler-rt-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "1w2j0vs888haz9shjr1l8dc4j957sk1p0377zzipkbqnzqwjf1z8";
-  name = "mingw-w64-clang-x86_64-compiler-rt-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-compiler-rt-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "1dwcxnv1k5ljim5ys4h1c3jlrdpi0054z094ynav7if65i8zjj4a";
+  name = "mingw-w64-clang-x86_64-compiler-rt-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-headers-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
-  sha256 = "18csfwlk2h9pr4411crx1b41qjzn5jgbssm3h109nzwbdizkp62h";
-  name = "mingw-w64-clang-x86_64-headers-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-headers-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
+  sha256 = "0163jzjlvq7inpafy3h48pkwag3ysk6x56xm84yfcz5q52fnfzq5";
+  name = "mingw-w64-clang-x86_64-headers-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-crt-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
-  sha256 = "03l1zkrxgxxssp430xcv2gch1d03rbnbk1c0vgiqxigcs8lljh2g";
-  name = "mingw-w64-clang-x86_64-crt-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-crt-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
+  sha256 = "00cn1mi29mfys7qy4hvgnjd0smqvnkdn3ibnrr6a3wy1h2vaykgq";
+  name = "mingw-w64-clang-x86_64-crt-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-lld-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "1ai4gl7ybpk9n10jmbpf3zzfa893m1krj5qhf44ajln0jabdfnbn";
-  name = "mingw-w64-clang-x86_64-lld-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-lld-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "1vpij5d06m4kjy3qv8bizwlkl21gcv6fv0r2f1j9bclgm6k3144x";
+  name = "mingw-w64-clang-x86_64-lld-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libwinpthread-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
-  sha256 = "1svhjzwhvl4ldl439jhgfy47g05y2af1cjqvydgijn1dd4g8y8vq";
-  name = "mingw-w64-clang-x86_64-libwinpthread-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libwinpthread-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
+  sha256 = "1zkzqqd31xpkv817wja3qssjjx891bsdxw07037hv2sk0qr4ffn9";
+  name = "mingw-w64-clang-x86_64-libwinpthread-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-winpthreads-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
-  sha256 = "0jxdhkl256vnr13xf1x3fyjrdf764zg70xcs3gki3rg109f0a6xk";
-  name = "mingw-w64-clang-x86_64-winpthreads-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-winpthreads-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
+  sha256 = "02ynia88ad3l03r08nyldmnajwqkyxcjd191lyamkbj4d6zck323";
+  name = "mingw-w64-clang-x86_64-winpthreads-git-12.0.0.r250.gc6bf4bdf6-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "0ahfic7vdfv96k5v7fdkgk1agk28l833xjn2igrmbvqg96ak0w6n";
-  name = "mingw-w64-clang-x86_64-clang-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "1qny934nv4g75k9gb5sf31v24bgafkg6qw7r35xv3in491w6annq";
+  name = "mingw-w64-clang-x86_64-clang-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-c-ares-1.27.0-1-any.pkg.tar.zst";
-  sha256 = "06y3sgqv6a0gr3dsbzs36jrj8adklssgjqi2ms5clsyq6ay4f91r";
-  name = "mingw-w64-clang-x86_64-c-ares-1.27.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-c-ares-1.33.1-1-any.pkg.tar.zst";
+  sha256 = "14r6jjsvfbapbkv2zqp2yglva4vz4srzkgk7f186ri3kcafjspgq";
+  name = "mingw-w64-clang-x86_64-c-ares-1.33.1-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-brotli-1.1.0-1-any.pkg.tar.zst";
-  sha256 = "113mha41q53cx0hw13cq1xdf7zbsd58sh8cl1cd7xzg1q69n60w2";
-  name = "mingw-w64-clang-x86_64-brotli-1.1.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-brotli-1.1.0-2-any.pkg.tar.zst";
+  sha256 = "1q01lz9lcyrjmkhv9rddgjazmk7warlcmwhc4qkq9y6h0yfsb71n";
+  name = "mingw-w64-clang-x86_64-brotli-1.1.0-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunistring-1.1-1-any.pkg.tar.zst";
-  sha256 = "16myvbg33q5s7jl30w5qd8n8f1r05335ms8r61234vn52n32l2c4";
-  name = "mingw-w64-clang-x86_64-libunistring-1.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunistring-1.2-1-any.pkg.tar.zst";
+  sha256 = "13nz49li39z1zgfx1q9jg4vrmyrmqb6qdq0nqshidaqc6zr16k3g";
+  name = "mingw-w64-clang-x86_64-libunistring-1.2-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -151,9 +151,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-p11-kit-0.25.3-2-any.pkg.tar.zst";
-  sha256 = "1jrwkc4lvw5hm5rqmi5gqh7mfkbqfa5gi81zjij0krnl0gaxw3c8";
-  name = "mingw-w64-clang-x86_64-p11-kit-0.25.3-2-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-p11-kit-0.25.5-1-any.pkg.tar.zst";
+  sha256 = "00yz6cmr1ldlrskv811n345xcia88mj7w4fyx4m9z5848jxgsabd";
+  name = "mingw-w64-clang-x86_64-p11-kit-0.25.5-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -163,9 +163,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openssl-3.2.1-1-any.pkg.tar.zst";
-  sha256 = "0ix2r4ll09m2z5vz2k94gmwfs0pp3ipvjdimwzx7v6xhcs2l25lz";
-  name = "mingw-w64-clang-x86_64-openssl-3.2.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openssl-3.3.2-1-any.pkg.tar.zst";
+  sha256 = "1djgpcz447yvhdy1yq5wh8l5d0821izxklx9afyszbw0pbr7f24y";
+  name = "mingw-w64-clang-x86_64-openssl-3.3.2-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -175,33 +175,39 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-nghttp2-1.60.0-1-any.pkg.tar.zst";
-  sha256 = "0wxw8266hf4qd2m4zpgb1wvlrnaksmcrs0kh5y9zpf2y5sy8f2bq";
-  name = "mingw-w64-clang-x86_64-nghttp2-1.60.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-nghttp2-1.63.0-1-any.pkg.tar.zst";
+  sha256 = "0lfqrlmapsc7ilxjmhr7hxi578vclqlhpqimbvzq0c70c0iwk864";
+  name = "mingw-w64-clang-x86_64-nghttp2-1.63.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-curl-8.6.0-1-any.pkg.tar.zst";
-  sha256 = "1racc7cyzj22kink9w8m8jv73ji5hfg6r6d1ka9dqmvcbx04r8p0";
-  name = "mingw-w64-clang-x86_64-curl-8.6.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-nghttp3-1.5.0-1-any.pkg.tar.zst";
+  sha256 = "1ljl9kdasf91bxkqcmbbjchp5g00ahv8jn2zab38899z6j3x43nz";
+  name = "mingw-w64-clang-x86_64-nghttp3-1.5.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-rust-1.76.0-1-any.pkg.tar.zst";
-  sha256 = "0ny3bvwvn5wmqrxzhdfw34akr0kj0m7rg9lg3w5yibqz2mkqhk11";
-  name = "mingw-w64-clang-x86_64-rust-1.76.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-curl-8.9.1-2-any.pkg.tar.zst";
+  sha256 = "1zr6kgqp9i4qqrfckh3kfmz4x1cwv4xis9sfqsx7xji88priax64";
+  name = "mingw-w64-clang-x86_64-curl-8.9.1-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-pkgconf-1~2.1.1-1-any.pkg.tar.zst";
-  sha256 = "00kxqg9ds4q74lxrzjh8z0858smqbi1j9r06s0zjadsql0ln98cq";
-  name = "mingw-w64-clang-x86_64-pkgconf-12.1.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-rust-1.80.1-1-any.pkg.tar.zst";
+  sha256 = "1dm4vlrfi9m6xl09zpn0yjr7qcjjr4x738z1rjfwysfnc0awq4x8";
+  name = "mingw-w64-clang-x86_64-rust-1.80.1-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-expat-2.6.2-1-any.pkg.tar.zst";
-  sha256 = "0kj1vzjh3qh7d2g47avlgk7a6j4nc62111hy1m63jwq0alc01k38";
-  name = "mingw-w64-clang-x86_64-expat-2.6.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-cppdap-1.65-1-any.pkg.tar.zst";
+  sha256 = "0phhwkcqp30dsyj5vr6w99sgm1jfm5rzg0w5x5mv9md4x7lm9lmh";
+  name = "mingw-w64-clang-x86_64-cppdap-1.65-1-any.pkg.tar.zst";
+})
+
+(pkgs.fetchurl {
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-expat-2.6.3-1-any.pkg.tar.zst";
+  sha256 = "19xfl1q78q1k8j0lr5aspcf668pmfg01fgib73zq7ff7y5y5fcyi";
+  name = "mingw-w64-clang-x86_64-expat-2.6.3-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -223,9 +229,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-lz4-1.9.4-1-any.pkg.tar.zst";
-  sha256 = "0nn7cy25j53q5ckkx4n4f77w00xdwwf5wjswm374shvvs58nlln0";
-  name = "mingw-w64-clang-x86_64-lz4-1.9.4-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-lz4-1.10.0-1-any.pkg.tar.zst";
+  sha256 = "0kznnw9z9zqxkmn8qbypm2rpsfaapbgls1ks3zzpfnfjz9cpw8py";
+  name = "mingw-w64-clang-x86_64-lz4-1.10.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -241,9 +247,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libarchive-3.7.2-1-any.pkg.tar.zst";
-  sha256 = "1p84yh6yzkdpmr02vyvgz16x5gycckah25jkdc2py09l7iw96bmw";
-  name = "mingw-w64-clang-x86_64-libarchive-3.7.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libarchive-3.7.4-1-any.pkg.tar.zst";
+  sha256 = "1ykw6imllgxv6lsgwxx1miqjr4l1iryqkrj286jcbfrb8ghpzhv5";
+  name = "mingw-w64-clang-x86_64-libarchive-3.7.4-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -253,9 +259,15 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-ninja-1.11.1-3-any.pkg.tar.zst";
-  sha256 = "13wjfmyfr952n3ydpldjlwx1nla5xpyvr96ng8pfbyw4z900v5ms";
-  name = "mingw-w64-clang-x86_64-ninja-1.11.1-3-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-ninja-1.12.1-1-any.pkg.tar.zst";
+  sha256 = "1vj9qaa43v316daz8k4ricmz3f33nhjpj7r0vn979nwmy7hzs7jx";
+  name = "mingw-w64-clang-x86_64-ninja-1.12.1-1-any.pkg.tar.zst";
+})
+
+(pkgs.fetchurl {
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-pkgconf-1~2.3.0-1-any.pkg.tar.zst";
+  sha256 = "15i7x6akkgs7aa7aa804k93p2iipnvygsy7z8hsafskka3h150fa";
+  name = "mingw-w64-clang-x86_64-pkgconf-12.3.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -265,9 +277,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-cmake-3.29.0-1-any.pkg.tar.zst";
-  sha256 = "0l79lf6zihn0k8hz93qnjnq259y45yq19235g9c444jc2w093si1";
-  name = "mingw-w64-clang-x86_64-cmake-3.29.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-cmake-3.30.3-1-any.pkg.tar.zst";
+  sha256 = "0fjwf6xxzli6rcsbzr1razldmm538ibkyf5kw132lpaz5wma9bj8";
+  name = "mingw-w64-clang-x86_64-cmake-3.30.3-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -289,9 +301,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-readline-8.2.010-1-any.pkg.tar.zst";
-  sha256 = "1s47pd5iz8y3hspsxn4pnp0v3m05ccia40v5nfvx0rmwgvcaz82v";
-  name = "mingw-w64-clang-x86_64-readline-8.2.010-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-readline-8.2.013-1-any.pkg.tar.zst";
+  sha256 = "0pv1ypqfgm4mimzr0amq9anr1ysqmzrwv6gfk7rrlzhihadknsvr";
+  name = "mingw-w64-clang-x86_64-readline-8.2.013-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -301,15 +313,15 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-sqlite3-3.45.2-1-any.pkg.tar.zst";
-  sha256 = "1icvw3f08cgi94p0177i46v72wgpsxw95p6kd0sm2w3vj0qlqbcw";
-  name = "mingw-w64-clang-x86_64-sqlite3-3.45.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-sqlite3-3.46.1-1-any.pkg.tar.zst";
+  sha256 = "1axplxyjnaz411qzjjqwbj55fbrh4akq3plm2p1sx64jp844xpyq";
+  name = "mingw-w64-clang-x86_64-sqlite3-3.46.1-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-tk-8.6.12-2-any.pkg.tar.zst";
-  sha256 = "0pi74q91vl6vw8vvmmwnvrgai3b1aanp0zhca5qsmv8ljh2wdgzx";
-  name = "mingw-w64-clang-x86_64-tk-8.6.12-2-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-tk-8.6.13-1-any.pkg.tar.zst";
+  sha256 = "12f6lqx1sglczcnz2ns6sxw9cxwm1klxajqzcrbnfwln1nllz2nd";
+  name = "mingw-w64-clang-x86_64-tk-8.6.13-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -319,32 +331,38 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-3.11.8-1-any.pkg.tar.zst";
-  sha256 = "0djpf4k8s25nys6nrm2x2v134lcgzhhbjs37ihkg0b3sxmmc3b0p";
-  name = "mingw-w64-clang-x86_64-python-3.11.8-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python3.12-3.12.1-2-any.pkg.tar.zst";
+  sha256 = "0wmd39wl9z237w093a7c6hl5pclca9yvwxn0kiw6i2njk3sjv51a";
+  name = "mingw-w64-clang-x86_64-python3.12-3.12.1-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openmp-18.1.2-1-any.pkg.tar.zst";
-  sha256 = "1v9wm3ja3a7a7yna2bpqky481qf244wc98kfdl7l03k7rkvvydpl";
-  name = "mingw-w64-clang-x86_64-openmp-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-3.11.9-1-any.pkg.tar.zst";
+  sha256 = "0ah1idjqxg7jc07a1gz9z766rjjd0f0c6ri4hpcsimsrbj1zjd3c";
+  name = "mingw-w64-clang-x86_64-python-3.11.9-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openblas-0.3.26-1-any.pkg.tar.zst";
-  sha256 = "0kdr72y5lc9dl9s1bjrw8g21qmv2iwd1xvn1r21170i277wsmqiv";
-  name = "mingw-w64-clang-x86_64-openblas-0.3.26-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-openmp-18.1.8-1-any.pkg.tar.zst";
+  sha256 = "0cy2v0l4af24j34mzj5q5nlzcqhackfajlfj1rpf6mb3rbz23qw9";
+  name = "mingw-w64-clang-x86_64-llvm-openmp-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-numpy-1.26.4-1-any.pkg.tar.zst";
-  sha256 = "00h0ap954cjwlsc3p01fjwy7s3nlzs90v0kmnrzxm0rljmvn4jkf";
-  name = "mingw-w64-clang-x86_64-python-numpy-1.26.4-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openblas-0.3.28-1-any.pkg.tar.zst";
+  sha256 = "1pskcqc1lg9p8m8rk7bw3mz7mn7vw5fpl7zxa23bhjn02p5b79qq";
+  name = "mingw-w64-clang-x86_64-openblas-0.3.28-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-setuptools-69.1.1-1-any.pkg.tar.zst";
-  sha256 = "1mc56anasj0v92nlg84m3pa7dbqgjakxw0b4ibqlrr9cq0xzsg4b";
-  name = "mingw-w64-clang-x86_64-python-setuptools-69.1.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-numpy-2.0.1-1-any.pkg.tar.zst";
+  sha256 = "0ks6q8v58h4wmr2pzsjl2xm4f63g0psvfm0jwlz24mqfxp8gqfcc";
+  name = "mingw-w64-clang-x86_64-python-numpy-2.0.1-1-any.pkg.tar.zst";
+})
+
+(pkgs.fetchurl {
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-setuptools-74.0.0-1-any.pkg.tar.zst";
+  sha256 = "0xc95z5jzzjf5lw35bs4yn5rlwkrkmrh78yi5rranqpz5nn0wsa0";
+  name = "mingw-w64-clang-x86_64-python-setuptools-74.0.0-1-any.pkg.tar.zst";
 })
 ]