[meta] flake: Add LLVM bintools to artiq-{instrumented,pgo}

Needed for PtrToOrBasic{Type,Value}.

.cargo/config.toml

@@ -0,0 +1,2 @@
+[target.x86_64-unknown-linux-gnu]
+rustflags = ["-C", "link-arg=-fuse-ld=lld"]

.pre-commit-config.yaml

@@ -1,7 +1,7 @@
 # See https://pre-commit.com for more information
 # See https://pre-commit.com/hooks.html for more hooks
 
-default_stages: [commit]
+default_stages: [pre-commit]
 
 repos:
   - repo: local

Cargo.toml

@@ -4,6 +4,7 @@ members = [
   "nac3ast",
   "nac3parser",
   "nac3core",
+  "nac3core/nac3core_derive",
   "nac3standalone",
   "nac3artiq",
   "runkernel",

flake.lock

@@ -2,11 +2,11 @@
   "nodes": {
     "nixpkgs": {
       "locked": {
-        "lastModified": 1727348695,
-        "narHash": "sha256-J+PeFKSDV+pHL7ukkfpVzCOO7mBSrrpJ3svwBFABbhI=",
+        "lastModified": 1736798957,
+        "narHash": "sha256-qwpCtZhSsSNQtK4xYGzMiyEDhkNzOCz/Vfu4oL2ETsQ=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "1925c603f17fc89f4c8f6bf6f631a802ad85d784",
+        "rev": "9abb87b552b7f55ac8916b6fc9e5cb486656a2f3",
         "type": "github"
       },
       "original": {

flake.nix

@@ -41,7 +41,7 @@
               lockFile = ./Cargo.lock;
             };
             passthru.cargoLock = cargoLock;
-            nativeBuildInputs = [ pkgs.python3 (pkgs.wrapClangMulti pkgs.llvmPackages_14.clang) llvm-tools-irrt pkgs.llvmPackages_14.llvm.out llvm-nac3 ];
+            nativeBuildInputs = [ pkgs.python3 (pkgs.wrapClangMulti pkgs.llvmPackages_14.clang) llvm-tools-irrt pkgs.llvmPackages_14.llvm.out pkgs.llvmPackages_14.bintools llvm-nac3 ];
             buildInputs = [ pkgs.python3 llvm-nac3 ];
             checkInputs = [ (pkgs.python3.withPackages(ps: [ ps.numpy ps.scipy ])) ];
             checkPhase =
@@ -85,7 +85,7 @@
             name = "nac3artiq-instrumented";
             src = self;
             inherit (nac3artiq) cargoLock;
-            nativeBuildInputs = [ pkgs.python3 packages.x86_64-linux.llvm-tools-irrt llvm-nac3-instrumented ];
+            nativeBuildInputs = [ pkgs.python3 packages.x86_64-linux.llvm-tools-irrt pkgs.llvmPackages_14.bintools llvm-nac3-instrumented ];
             buildInputs = [ pkgs.python3 llvm-nac3-instrumented ];
             cargoBuildFlags = [ "--package" "nac3artiq" "--features" "init-llvm-profile" ];
             doCheck = false;
@@ -107,19 +107,20 @@
             (pkgs.fetchFromGitHub {
               owner = "m-labs";
               repo = "sipyco";
-              rev = "939f84f9b5eef7efbf7423c735d1834783b6140e";
-              sha256 = "sha256-15Nun4EY35j+6SPZkjzZtyH/ncxLS60KuGJjFh5kSTc=";
+              rev = "094a6cd63ffa980ef63698920170e50dc9ba77fd";
+              sha256 = "sha256-PPnAyDedUQ7Og/Cby9x5OT9wMkNGTP8GS53V6N/dk4w=";
             })
             (pkgs.fetchFromGitHub {
               owner = "m-labs";
               repo = "artiq";
-              rev = "923ca3377d42c815f979983134ec549dc39d3ca0";
-              sha256 = "sha256-oJoEeNEeNFSUyh6jXG8Tzp6qHVikeHS0CzfE+mODPgw=";
+              rev = "28c9de3e251daa89a8c9fd79d5ab64a3ec03bac6";
+              sha256 = "sha256-vAvpbHc5B+1wtG8zqN7j9dQE1ON+i22v+uqA+tw6Gak=";
             })
           ];
           buildInputs = [
-            (python3-mimalloc.withPackages(ps: [ ps.numpy ps.scipy ps.jsonschema ps.lmdb nac3artiq-instrumented ]))
+            (python3-mimalloc.withPackages(ps: [ ps.numpy ps.scipy ps.jsonschema ps.lmdb ps.platformdirs nac3artiq-instrumented ]))
             pkgs.llvmPackages_14.llvm.out
+            pkgs.llvmPackages_14.bintools
           ];
           phases = [ "buildPhase" "installPhase" ];
           buildPhase =
@@ -147,7 +148,7 @@
             name = "nac3artiq-pgo";
             src = self;
             inherit (nac3artiq) cargoLock;
-            nativeBuildInputs = [ pkgs.python3 packages.x86_64-linux.llvm-tools-irrt llvm-nac3-pgo ];
+            nativeBuildInputs = [ pkgs.python3 packages.x86_64-linux.llvm-tools-irrt pkgs.llvmPackages_14.bintools llvm-nac3-pgo ];
             buildInputs = [ pkgs.python3 llvm-nac3-pgo ];
             cargoBuildFlags = [ "--package" "nac3artiq" ];
             cargoTestFlags = [ "--package" "nac3ast" "--package" "nac3parser" "--package" "nac3core" "--package" "nac3artiq" ];
@@ -168,7 +169,7 @@
         buildInputs = with pkgs; [
           # build dependencies
           packages.x86_64-linux.llvm-nac3
-          (pkgs.wrapClangMulti llvmPackages_14.clang) llvmPackages_14.llvm.out  # for running nac3standalone demos
+          (pkgs.wrapClangMulti llvmPackages_14.clang) llvmPackages_14.llvm.out llvmPackages_14.bintools  # for running nac3standalone demos
           packages.x86_64-linux.llvm-tools-irrt
           cargo
           rustc

nac3artiq/Cargo.toml

@@ -9,10 +9,10 @@ name = "nac3artiq"
 crate-type = ["cdylib"]
 
 [dependencies]
-itertools = "0.13"
+itertools = "0.14"
 pyo3 = { version = "0.21", features = ["extension-module", "gil-refs"] }
 parking_lot = "0.12"
-tempfile = "3.13"
+tempfile = "3.16"
 nac3core = { path = "../nac3core" }
 nac3ld = { path = "../nac3ld" }
 

nac3artiq/demo/embedding_map.py

@@ -1,66 +0,0 @@
-class EmbeddingMap:
-    def __init__(self):
-        self.object_inverse_map = {}
-        self.object_map = {}
-        self.string_map = {}
-        self.string_reverse_map = {}
-        self.function_map = {}
-        self.attributes_writeback = []
-
-        # preallocate exception names
-        self.preallocate_runtime_exception_names(["RuntimeError",
-                                          "RTIOUnderflow",
-                                          "RTIOOverflow",
-                                          "RTIODestinationUnreachable",
-                                          "DMAError",
-                                          "I2CError",
-                                          "CacheError",
-                                          "SPIError",
-                                          "0:ZeroDivisionError",
-                                          "0:IndexError",
-                                          "0:ValueError",
-                                          "0:RuntimeError",
-                                          "0:AssertionError",
-                                          "0:KeyError",
-                                          "0:NotImplementedError",
-                                          "0:OverflowError",
-                                          "0:IOError",
-                                          "0:UnwrapNoneError"])
-
-    def preallocate_runtime_exception_names(self, names):
-        for i, name in enumerate(names):
-            if ":" not in name:
-                name = "0:artiq.coredevice.exceptions." + name
-            exn_id = self.store_str(name)
-            assert exn_id == i
-
-    def store_function(self, key, fun):
-        self.function_map[key] = fun
-        return key
-
-    def store_object(self, obj):
-        obj_id = id(obj)
-        if obj_id in self.object_inverse_map:
-            return self.object_inverse_map[obj_id]
-        key = len(self.object_map) + 1
-        self.object_map[key] = obj
-        self.object_inverse_map[obj_id] = key
-        return key
-
-    def store_str(self, s):
-        if s in self.string_reverse_map:
-            return self.string_reverse_map[s]
-        key = len(self.string_map)
-        self.string_map[key] = s
-        self.string_reverse_map[s] = key
-        return key
-
-    def retrieve_function(self, key):
-        return self.function_map[key]
-
-    def retrieve_object(self, key):
-        return self.object_map[key]
-
-    def retrieve_str(self, key):
-        return self.string_map[key]
-

nac3artiq/demo/min_artiq.py

@@ -6,7 +6,6 @@ from typing import Generic, TypeVar
 from math import floor, ceil
 
 import nac3artiq
-from embedding_map import EmbeddingMap
 
 
 __all__ = [
@@ -193,6 +192,46 @@ def print_int64(x: int64):
     raise NotImplementedError("syscall not simulated")
 
 
+class EmbeddingMap:
+    def __init__(self):
+        self.object_inverse_map = {}
+        self.object_map = {}
+        self.string_map = {}
+        self.string_reverse_map = {}
+        self.function_map = {}
+        self.attributes_writeback = []
+
+    def store_function(self, key, fun):
+        self.function_map[key] = fun
+        return key
+
+    def store_object(self, obj):
+        obj_id = id(obj)
+        if obj_id in self.object_inverse_map:
+            return self.object_inverse_map[obj_id]
+        key = len(self.object_map) + 1
+        self.object_map[key] = obj
+        self.object_inverse_map[obj_id] = key
+        return key
+
+    def store_str(self, s):
+        if s in self.string_reverse_map:
+            return self.string_reverse_map[s]
+        key = len(self.string_map)
+        self.string_map[key] = s
+        self.string_reverse_map[s] = key
+        return key
+
+    def retrieve_function(self, key):
+        return self.function_map[key]
+
+    def retrieve_object(self, key):
+        return self.object_map[key]
+
+    def retrieve_str(self, key):
+        return self.string_map[key]
+
+
 @nac3
 class Core:
     ref_period: KernelInvariant[float]
@@ -206,7 +245,7 @@ class Core:
         embedding = EmbeddingMap()
 
         if allow_registration:
-            compiler.analyze(registered_functions, registered_classes)
+            compiler.analyze(registered_functions, registered_classes, set())
             allow_registration = False
 
         if hasattr(method, "__self__"):

nac3artiq/demo/module.py

@@ -0,0 +1,26 @@
+from min_artiq import *
+from numpy import int32
+
+# Global Variable Definition
+X: Kernel[int32] = 1
+
+# TopLevelFunction Defintion
+@kernel
+def display_X():
+    print_int32(X)
+
+# TopLevel Class Definition
+@nac3
+class A:    
+    @kernel
+    def __init__(self):
+        self.set_x(1)
+    
+    @kernel
+    def set_x(self, new_val: int32):
+        global X
+        X = new_val
+    
+    @kernel
+    def get_X(self) -> int32:
+        return X

nac3artiq/demo/module_support.py

@@ -0,0 +1,26 @@
+from min_artiq import *
+import module as module_definition
+
+@nac3
+class TestModuleSupport:
+    core: KernelInvariant[Core]
+
+    def __init__(self):
+        self.core = Core()
+
+    @kernel
+    def run(self):
+        # Accessing classes
+        obj = module_definition.A()
+        obj.get_X()
+        obj.set_x(2)
+        
+        # Calling functions
+        module_definition.display_X()
+
+        # Updating global variables
+        module_definition.X = 9
+        module_definition.display_X()
+
+if __name__ == "__main__":
+    TestModuleSupport().run()

nac3artiq/demo/numpy_primitives_decay.py

@@ -0,0 +1,29 @@
+from min_artiq import *
+import numpy
+from numpy import int32
+
+
+@nac3
+class NumpyBoolDecay:
+    core: KernelInvariant[Core]
+    np_true: KernelInvariant[bool]
+    np_false: KernelInvariant[bool]
+    np_int: KernelInvariant[int32]
+    np_float: KernelInvariant[float]
+    np_str: KernelInvariant[str]
+
+    def __init__(self):
+        self.core = Core()
+        self.np_true = numpy.True_
+        self.np_false = numpy.False_
+        self.np_int = numpy.int32(0)
+        self.np_float = numpy.float64(0.0)
+        self.np_str = numpy.str_("")
+
+    @kernel
+    def run(self):
+        pass
+
+
+if __name__ == "__main__":
+    NumpyBoolDecay().run()

nac3artiq/demo/string_attribute_issue337.py

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

nac3artiq/demo/support_class_attr_issue102.py

@@ -1,40 +0,0 @@
-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/codegen.rs

@@ -12,33 +12,38 @@ use pyo3::{
     PyObject, PyResult, Python,
 };
 
+use super::{symbol_resolver::InnerResolver, timeline::TimeFns};
 use nac3core::{
     codegen::{
-        classes::{
-            ArrayLikeIndexer, ArrayLikeValue, ArraySliceValue, ListValue, NDArrayType,
-            NDArrayValue, ProxyType, ProxyValue, RangeValue, UntypedArrayLikeAccessor,
-        },
         expr::{destructure_range, gen_call},
-        irrt::call_ndarray_calc_size,
-        llvm_intrinsics::{call_int_smax, call_memcpy_generic, call_stackrestore, call_stacksave},
+        llvm_intrinsics::{call_int_smax, call_memcpy, call_stackrestore, call_stacksave},
         stmt::{gen_block, gen_for_callback_incrementing, gen_if_callback, gen_with},
+        type_aligned_alloca,
+        types::{ndarray::NDArrayType, RangeType},
+        values::{
+            ArrayLikeIndexer, ArrayLikeValue, ArraySliceValue, ListValue, ProxyValue,
+            UntypedArrayLikeAccessor,
+        },
         CodeGenContext, CodeGenerator,
     },
     inkwell::{
         context::Context,
         module::Linkage,
+        targets::TargetMachine,
         types::{BasicType, IntType},
         values::{BasicValueEnum, IntValue, PointerValue, StructValue},
         AddressSpace, IntPredicate, OptimizationLevel,
     },
     nac3parser::ast::{Expr, ExprKind, Located, Stmt, StmtKind, StrRef},
     symbol_resolver::ValueEnum,
-    toplevel::{helper::PrimDef, numpy::unpack_ndarray_var_tys, DefinitionId, GenCall},
+    toplevel::{
+        helper::{extract_ndims, PrimDef},
+        numpy::unpack_ndarray_var_tys,
+        DefinitionId, GenCall,
+    },
     typecheck::typedef::{iter_type_vars, FunSignature, FuncArg, Type, TypeEnum, VarMap},
 };
 
-use super::{symbol_resolver::InnerResolver, timeline::TimeFns};
-
 /// The parallelism mode within a block.
 #[derive(Copy, Clone, Eq, PartialEq)]
 enum ParallelMode {
@@ -83,13 +88,13 @@ pub struct ArtiqCodeGenerator<'a> {
 impl<'a> ArtiqCodeGenerator<'a> {
     pub fn new(
         name: String,
-        size_t: u32,
+        size_t: IntType<'_>,
         timeline: &'a (dyn TimeFns + Sync),
     ) -> ArtiqCodeGenerator<'a> {
-        assert!(size_t == 32 || size_t == 64);
+        assert!(matches!(size_t.get_bit_width(), 32 | 64));
         ArtiqCodeGenerator {
             name,
-            size_t,
+            size_t: size_t.get_bit_width(),
             name_counter: 0,
             start: None,
             end: None,
@@ -98,6 +103,17 @@ impl<'a> ArtiqCodeGenerator<'a> {
         }
     }
 
+    #[must_use]
+    pub fn with_target_machine(
+        name: String,
+        ctx: &Context,
+        target_machine: &TargetMachine,
+        timeline: &'a (dyn TimeFns + Sync),
+    ) -> ArtiqCodeGenerator<'a> {
+        let llvm_usize = ctx.ptr_sized_int_type(&target_machine.get_target_data(), None);
+        Self::new(name, llvm_usize, timeline)
+    }
+
     /// If the generator is currently in a direct-`parallel` block context, emits IR that resets the
     /// position of the timeline to the initial timeline position before entering the `parallel`
     /// block.
@@ -158,7 +174,7 @@ impl<'a> ArtiqCodeGenerator<'a> {
     }
 }
 
-impl<'b> CodeGenerator for ArtiqCodeGenerator<'b> {
+impl CodeGenerator for ArtiqCodeGenerator<'_> {
     fn get_name(&self) -> &str {
         &self.name
     }
@@ -455,54 +471,51 @@ fn format_rpc_arg<'ctx>(
             // libproto_artiq: NDArray = [data[..], dim_sz[..]]
 
             let llvm_i1 = ctx.ctx.bool_type();
-            let llvm_usize = generator.get_size_type(ctx.ctx);
+            let llvm_usize = ctx.get_size_type();
 
-            let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, arg_ty);
-            let llvm_elem_ty = ctx.get_llvm_type(generator, elem_ty);
-            let llvm_arg_ty = NDArrayType::new(generator, ctx.ctx, llvm_elem_ty);
-            let llvm_arg = NDArrayValue::from_ptr_val(arg.into_pointer_value(), llvm_usize, None);
+            let (elem_ty, ndims) = unpack_ndarray_var_tys(&mut ctx.unifier, arg_ty);
+            let ndims = extract_ndims(&ctx.unifier, ndims);
+            let dtype = ctx.get_llvm_type(generator, elem_ty);
+            let ndarray = NDArrayType::new(ctx, dtype, ndims)
+                .map_pointer_value(arg.into_pointer_value(), None);
 
-            let llvm_usize_sizeof = ctx
-                .builder
-                .build_int_truncate_or_bit_cast(llvm_arg_ty.size_type().size_of(), llvm_usize, "")
-                .unwrap();
-            let llvm_pdata_sizeof = ctx
-                .builder
-                .build_int_truncate_or_bit_cast(
-                    llvm_elem_ty.ptr_type(AddressSpace::default()).size_of(),
-                    llvm_usize,
-                    "",
-                )
-                .unwrap();
+            let ndims = llvm_usize.const_int(ndims, false);
 
-            let dims_buf_sz =
-                ctx.builder.build_int_mul(llvm_arg.load_ndims(ctx), llvm_usize_sizeof, "").unwrap();
+            // `ndarray.data` is possibly not contiguous, and we need it to be contiguous for
+            // the reader.
+            // Turning it into a ContiguousNDArray to get a `data` that is contiguous.
+            let carray = ndarray.make_contiguous_ndarray(generator, ctx);
 
-            let buffer_size =
-                ctx.builder.build_int_add(dims_buf_sz, llvm_pdata_sizeof, "").unwrap();
+            let sizeof_usize = llvm_usize.size_of();
+            let sizeof_usize =
+                ctx.builder.build_int_z_extend_or_bit_cast(sizeof_usize, llvm_usize, "").unwrap();
 
-            let buffer = ctx.builder.build_array_alloca(llvm_i8, buffer_size, "rpc.arg").unwrap();
-            let buffer = ArraySliceValue::from_ptr_val(buffer, buffer_size, Some("rpc.arg"));
+            let sizeof_pdata = dtype.ptr_type(AddressSpace::default()).size_of();
+            let sizeof_pdata =
+                ctx.builder.build_int_z_extend_or_bit_cast(sizeof_pdata, llvm_usize, "").unwrap();
 
-            call_memcpy_generic(
-                ctx,
-                buffer.base_ptr(ctx, generator),
-                llvm_arg.ptr_to_data(ctx),
-                llvm_pdata_sizeof,
-                llvm_i1.const_zero(),
-            );
+            let sizeof_buf_shape = ctx.builder.build_int_mul(sizeof_usize, ndims, "").unwrap();
+            let sizeof_buf = ctx.builder.build_int_add(sizeof_buf_shape, sizeof_pdata, "").unwrap();
 
-            let pbuffer_dims_begin =
-                unsafe { buffer.ptr_offset_unchecked(ctx, generator, &llvm_pdata_sizeof, None) };
-            call_memcpy_generic(
-                ctx,
-                pbuffer_dims_begin,
-                llvm_arg.dim_sizes().base_ptr(ctx, generator),
-                dims_buf_sz,
-                llvm_i1.const_zero(),
-            );
+            // buf = { data: void*, shape: [size_t; ndims]; }
+            let buf = ctx.builder.build_array_alloca(llvm_i8, sizeof_buf, "rpc.arg").unwrap();
+            let buf = ArraySliceValue::from_ptr_val(buf, sizeof_buf, Some("rpc.arg"));
+            let buf_data = buf.base_ptr(ctx, generator);
+            let buf_shape =
+                unsafe { buf.ptr_offset_unchecked(ctx, generator, &sizeof_pdata, None) };
 
-            buffer.base_ptr(ctx, generator)
+            // Write to `buf->data`
+            let carray_data = carray.load_data(ctx);
+            let carray_data = ctx.builder.build_pointer_cast(carray_data, llvm_pi8, "").unwrap();
+            call_memcpy(ctx, buf_data, carray_data, sizeof_pdata, llvm_i1.const_zero());
+
+            // Write to `buf->shape`
+            let carray_shape = ndarray.shape().base_ptr(ctx, generator);
+            let carray_shape_i8 =
+                ctx.builder.build_pointer_cast(carray_shape, llvm_pi8, "").unwrap();
+            call_memcpy(ctx, buf_shape, carray_shape_i8, sizeof_buf_shape, llvm_i1.const_zero());
+
+            buf.base_ptr(ctx, generator)
         }
 
         _ => {
@@ -543,6 +556,8 @@ fn format_rpc_ret<'ctx>(
     let llvm_i32 = ctx.ctx.i32_type();
     let llvm_i8_8 = ctx.ctx.struct_type(&[llvm_i8.array_type(8).into()], false);
     let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_usize = ctx.get_size_type();
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
 
     let rpc_recv = ctx.module.get_function("rpc_recv").unwrap_or_else(|| {
         ctx.module.add_function("rpc_recv", llvm_i32.fn_type(&[llvm_pi8.into()], false), None)
@@ -563,8 +578,7 @@ fn format_rpc_ret<'ctx>(
 
     let result = match &*ctx.unifier.get_ty_immutable(ret_ty) {
         TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
-            let llvm_i1 = ctx.ctx.bool_type();
-            let llvm_usize = generator.get_size_type(ctx.ctx);
+            let num_0 = llvm_usize.const_zero();
 
             // Round `val` up to its modulo `power_of_two`
             let round_up = |ctx: &mut CodeGenContext<'ctx, '_>,
@@ -590,79 +604,49 @@ fn format_rpc_ret<'ctx>(
                     .unwrap()
             };
 
-            // Setup types
-            let (elem_ty, ndims) = unpack_ndarray_var_tys(&mut ctx.unifier, ret_ty);
-            let llvm_elem_ty = ctx.get_llvm_type(generator, elem_ty);
-            let llvm_ret_ty = NDArrayType::new(generator, ctx.ctx, llvm_elem_ty);
-
             // Allocate the resulting ndarray
             // A condition after format_rpc_ret ensures this will not be popped this off.
-            let ndarray = llvm_ret_ty.new_value(generator, ctx, Some("rpc.result"));
+            let (dtype, ndims) = unpack_ndarray_var_tys(&mut ctx.unifier, ret_ty);
+            let dtype_llvm = ctx.get_llvm_type(generator, dtype);
+            let ndims = extract_ndims(&ctx.unifier, ndims);
+            let ndarray = NDArrayType::new(ctx, dtype_llvm, ndims)
+                .construct_uninitialized(generator, ctx, None);
 
-            // Setup ndims
-            let ndims =
-                if let TypeEnum::TLiteral { values, .. } = &*ctx.unifier.get_ty_immutable(ndims) {
-                    assert_eq!(values.len(), 1);
+            // NOTE: Current content of `ndarray`:
+            //   - * `data` - **NOT YET** allocated.
+            //   - * `itemsize` - initialized to be size_of(dtype).
+            //   - * `ndims` - initialized.
+            //   - * `shape` - allocated; has uninitialized values.
+            //   - * `strides` - allocated; has uninitialized values.
 
-                    u64::try_from(values[0].clone()).unwrap()
-                } else {
-                    unreachable!();
-                };
-            // Set `ndarray.ndims`
-            ndarray.store_ndims(ctx, generator, llvm_usize.const_int(ndims, false));
-            // Allocate `ndarray.shape` [size_t; ndims]
-            ndarray.create_dim_sizes(ctx, llvm_usize, ndarray.load_ndims(ctx));
-
-            /*
-                ndarray now:
-                  - .ndims: initialized
-                  - .shape: allocated but uninitialized .shape
-                  - .data: uninitialized
-            */
-
-            let llvm_usize_sizeof = ctx
-                .builder
-                .build_int_truncate_or_bit_cast(llvm_usize.size_of(), llvm_usize, "")
-                .unwrap();
-            let llvm_pdata_sizeof = ctx
-                .builder
-                .build_int_truncate_or_bit_cast(
-                    llvm_elem_ty.ptr_type(AddressSpace::default()).size_of(),
-                    llvm_usize,
-                    "",
-                )
-                .unwrap();
-            let llvm_elem_sizeof = ctx
-                .builder
-                .build_int_truncate_or_bit_cast(llvm_elem_ty.size_of().unwrap(), llvm_usize, "")
-                .unwrap();
+            let itemsize = ndarray.load_itemsize(ctx); // Same as doing a `ctx.get_llvm_type` on `dtype` and get its `size_of()`.
 
             // Allocates a buffer for the initial RPC'ed object, which is guaranteed to be
             // (4 + 4 * ndims) bytes with 8-byte alignment
-            let sizeof_dims =
-                ctx.builder.build_int_mul(ndarray.load_ndims(ctx), llvm_usize_sizeof, "").unwrap();
+            let sizeof_usize = llvm_usize.size_of();
+            let sizeof_usize =
+                ctx.builder.build_int_truncate_or_bit_cast(sizeof_usize, llvm_usize, "").unwrap();
+
+            let sizeof_ptr = llvm_i8.ptr_type(AddressSpace::default()).size_of();
+            let sizeof_ptr =
+                ctx.builder.build_int_z_extend_or_bit_cast(sizeof_ptr, llvm_usize, "").unwrap();
+
+            let sizeof_shape =
+                ctx.builder.build_int_mul(ndarray.load_ndims(ctx), sizeof_usize, "").unwrap();
+
+            // Size of the buffer for the initial `rpc_recv()`.
             let unaligned_buffer_size =
-                ctx.builder.build_int_add(sizeof_dims, llvm_pdata_sizeof, "").unwrap();
-            let buffer_size = round_up(ctx, unaligned_buffer_size, llvm_usize.const_int(8, false));
+                ctx.builder.build_int_add(sizeof_ptr, sizeof_shape, "").unwrap();
 
             let stackptr = call_stacksave(ctx, None);
-            // Just to be absolutely sure, alloca in [i8 x 8] slices to force 8-byte alignment
-            let buffer = ctx
-                .builder
-                .build_array_alloca(
-                    llvm_i8_8,
-                    ctx.builder
-                        .build_int_unsigned_div(buffer_size, llvm_usize.const_int(8, false), "")
-                        .unwrap(),
-                    "rpc.buffer",
-                )
-                .unwrap();
-            let buffer = ctx
-                .builder
-                .build_bit_cast(buffer, llvm_pi8, "")
-                .map(BasicValueEnum::into_pointer_value)
-                .unwrap();
-            let buffer = ArraySliceValue::from_ptr_val(buffer, buffer_size, None);
+            let buffer = type_aligned_alloca(
+                generator,
+                ctx,
+                llvm_i8_8,
+                unaligned_buffer_size,
+                Some("rpc.buffer"),
+            );
+            let buffer = ArraySliceValue::from_ptr_val(buffer, unaligned_buffer_size, None);
 
             // The first call to `rpc_recv` reads the top-level ndarray object: [pdata, shape]
             //
@@ -670,7 +654,7 @@ fn format_rpc_ret<'ctx>(
             let ndarray_nbytes = ctx
                 .build_call_or_invoke(
                     rpc_recv,
-                    &[buffer.base_ptr(ctx, generator).into()], // Reads [usize; ndims]. NOTE: We are allocated [size_t; ndims].
+                    &[buffer.base_ptr(ctx, generator).into()], // Reads [usize; ndims]
                     "rpc.size.next",
                 )
                 .map(BasicValueEnum::into_int_value)
@@ -678,16 +662,14 @@ fn format_rpc_ret<'ctx>(
 
             // debug_assert(ndarray_nbytes > 0)
             if ctx.registry.llvm_options.opt_level == OptimizationLevel::None {
+                let cmp = ctx
+                    .builder
+                    .build_int_compare(IntPredicate::UGT, ndarray_nbytes, num_0, "")
+                    .unwrap();
+
                 ctx.make_assert(
                     generator,
-                    ctx.builder
-                        .build_int_compare(
-                            IntPredicate::UGT,
-                            ndarray_nbytes,
-                            ndarray_nbytes.get_type().const_zero(),
-                            "",
-                        )
-                        .unwrap(),
+                    cmp,
                     "0:AssertionError",
                     "Unexpected RPC termination for ndarray - Expected data buffer next",
                     [None, None, None],
@@ -696,49 +678,50 @@ fn format_rpc_ret<'ctx>(
             }
 
             // Copy shape from the buffer to `ndarray.shape`.
-            let pbuffer_dims =
-                unsafe { buffer.ptr_offset_unchecked(ctx, generator, &llvm_pdata_sizeof, None) };
+            // We need to skip the first `sizeof(uint8_t*)` bytes to skip the `pdata` in `[pdata, shape]`.
+            let pbuffer_shape =
+                unsafe { buffer.ptr_offset_unchecked(ctx, generator, &sizeof_ptr, None) };
+            let pbuffer_shape =
+                ctx.builder.build_pointer_cast(pbuffer_shape, llvm_pusize, "").unwrap();
+
+            // Copy shape from buffer to `ndarray.shape`
+            ndarray.copy_shape_from_array(generator, ctx, pbuffer_shape);
 
-            call_memcpy_generic(
-                ctx,
-                ndarray.dim_sizes().base_ptr(ctx, generator),
-                pbuffer_dims,
-                sizeof_dims,
-                llvm_i1.const_zero(),
-            );
             // Restore stack from before allocation of buffer
             call_stackrestore(ctx, stackptr);
 
             // Allocate `ndarray.data`.
             // `ndarray.shape` must be initialized beforehand in this implementation
             //   (for ndarray.create_data() to know how many elements to allocate)
-            let num_elements =
-                call_ndarray_calc_size(generator, ctx, &ndarray.dim_sizes(), (None, None));
+            unsafe { ndarray.create_data(generator, ctx) }; // NOTE: the strides of `ndarray` has also been set to contiguous in `create_data`.
 
             // debug_assert(nelems * sizeof(T) >= ndarray_nbytes)
             if ctx.registry.llvm_options.opt_level == OptimizationLevel::None {
-                let sizeof_data =
-                    ctx.builder.build_int_mul(num_elements, llvm_elem_sizeof, "").unwrap();
+                let num_elements = ndarray.size(ctx);
+
+                let expected_ndarray_nbytes =
+                    ctx.builder.build_int_mul(num_elements, itemsize, "").unwrap();
+                let cmp = ctx
+                    .builder
+                    .build_int_compare(
+                        IntPredicate::UGE,
+                        expected_ndarray_nbytes,
+                        ndarray_nbytes,
+                        "",
+                    )
+                    .unwrap();
 
                 ctx.make_assert(
                     generator,
-                    ctx.builder.build_int_compare(IntPredicate::UGE,
-                        sizeof_data,
-                        ndarray_nbytes,
-                        "",
-                    ).unwrap(),
+                    cmp,
                     "0:AssertionError",
                     "Unexpected allocation size request for ndarray data - Expected up to {0} bytes, got {1} bytes",
-                    [Some(sizeof_data), Some(ndarray_nbytes), None],
+                    [Some(expected_ndarray_nbytes), Some(ndarray_nbytes), None],
                     ctx.current_loc,
                 );
             }
 
-            ndarray.create_data(ctx, llvm_elem_ty, num_elements);
-
             let ndarray_data = ndarray.data().base_ptr(ctx, generator);
-            let ndarray_data_i8 =
-                ctx.builder.build_pointer_cast(ndarray_data, llvm_pi8, "").unwrap();
 
             // NOTE: Currently on `prehead_bb`
             ctx.builder.build_unconditional_branch(head_bb).unwrap();
@@ -747,7 +730,7 @@ fn format_rpc_ret<'ctx>(
             ctx.builder.position_at_end(head_bb);
 
             let phi = ctx.builder.build_phi(llvm_pi8, "rpc.ptr").unwrap();
-            phi.add_incoming(&[(&ndarray_data_i8, prehead_bb)]);
+            phi.add_incoming(&[(&ndarray_data, prehead_bb)]);
 
             let alloc_size = ctx
                 .build_call_or_invoke(rpc_recv, &[phi.as_basic_value()], "rpc.size.next")
@@ -762,12 +745,13 @@ fn format_rpc_ret<'ctx>(
 
             ctx.builder.position_at_end(alloc_bb);
             // Align the allocation to sizeof(T)
-            let alloc_size = round_up(ctx, alloc_size, llvm_elem_sizeof);
+            let alloc_size = round_up(ctx, alloc_size, itemsize);
+            // TODO(Derppening): Candidate for refactor into type_aligned_alloca
             let alloc_ptr = ctx
                 .builder
                 .build_array_alloca(
-                    llvm_elem_ty,
-                    ctx.builder.build_int_unsigned_div(alloc_size, llvm_elem_sizeof, "").unwrap(),
+                    dtype_llvm,
+                    ctx.builder.build_int_unsigned_div(alloc_size, itemsize, "").unwrap(),
                     "rpc.alloc",
                 )
                 .unwrap();
@@ -777,7 +761,7 @@ fn format_rpc_ret<'ctx>(
             ctx.builder.build_unconditional_branch(head_bb).unwrap();
 
             ctx.builder.position_at_end(tail_bb);
-            ndarray.as_base_value().into()
+            ndarray.as_abi_value(ctx).into()
         }
 
         _ => {
@@ -825,7 +809,7 @@ fn rpc_codegen_callback_fn<'ctx>(
 ) -> Result<Option<BasicValueEnum<'ctx>>, String> {
     let int8 = ctx.ctx.i8_type();
     let int32 = ctx.ctx.i32_type();
-    let size_type = generator.get_size_type(ctx.ctx);
+    let size_type = ctx.get_size_type();
     let ptr_type = int8.ptr_type(AddressSpace::default());
     let tag_ptr_type = ctx.ctx.struct_type(&[ptr_type.into(), size_type.into()], false);
 
@@ -990,11 +974,12 @@ fn rpc_codegen_callback_fn<'ctx>(
     }
 }
 
-pub fn attributes_writeback(
-    ctx: &mut CodeGenContext<'_, '_>,
+pub fn attributes_writeback<'ctx>(
+    ctx: &mut CodeGenContext<'ctx, '_>,
     generator: &mut dyn CodeGenerator,
     inner_resolver: &InnerResolver,
     host_attributes: &PyObject,
+    return_obj: Option<(Type, ValueEnum<'ctx>)>,
 ) -> Result<(), String> {
     Python::with_gil(|py| -> PyResult<Result<(), String>> {
         let host_attributes: &PyList = host_attributes.downcast(py)?;
@@ -1004,6 +989,11 @@ pub fn attributes_writeback(
         let zero = int32.const_zero();
         let mut values = Vec::new();
         let mut scratch_buffer = Vec::new();
+
+        if let Some((ty, obj)) = return_obj {
+            values.push((ty, obj.to_basic_value_enum(ctx, generator, ty).unwrap()));
+        }
+
         for val in (*globals).values() {
             let val = val.as_ref(py);
             let ty = inner_resolver.get_obj_type(
@@ -1062,6 +1052,34 @@ pub fn attributes_writeback(
                         ));
                     }
                 }
+                TypeEnum::TModule { attributes, .. } => {
+                    let mut fields = Vec::new();
+                    let obj = inner_resolver.get_obj_value(py, val, ctx, generator, ty)?.unwrap();
+
+                    for (name, (field_ty, is_method)) in attributes {
+                        if *is_method {
+                            continue;
+                        }
+                        if gen_rpc_tag(ctx, *field_ty, &mut scratch_buffer).is_ok() {
+                            fields.push(name.to_string());
+                            let (index, _) = ctx.get_attr_index(ty, *name);
+                            values.push((
+                                *field_ty,
+                                ctx.build_gep_and_load(
+                                    obj.into_pointer_value(),
+                                    &[zero, int32.const_int(index as u64, false)],
+                                    None,
+                                ),
+                            ));
+                        }
+                    }
+                    if !fields.is_empty() {
+                        let pydict = PyDict::new(py);
+                        pydict.set_item("obj", val)?;
+                        pydict.set_item("fields", fields)?;
+                        host_attributes.append(pydict)?;
+                    }
+                }
                 _ => {}
             }
         }
@@ -1082,7 +1100,7 @@ pub fn attributes_writeback(
         let args: Vec<_> =
             values.into_iter().map(|(_, val)| (None, ValueEnum::Dynamic(val))).collect();
         if let Err(e) =
-            rpc_codegen_callback_fn(ctx, None, (&fun, PrimDef::Int32.id()), args, generator, false)
+            rpc_codegen_callback_fn(ctx, None, (&fun, PrimDef::Int32.id()), args, generator, true)
         {
             return Ok(Err(e));
         }
@@ -1177,7 +1195,7 @@ fn polymorphic_print<'ctx>(
 
     let llvm_i32 = ctx.ctx.i32_type();
     let llvm_i64 = ctx.ctx.i64_type();
-    let llvm_usize = generator.get_size_type(ctx.ctx);
+    let llvm_usize = ctx.get_size_type();
 
     let suffix = suffix.unwrap_or_default();
 
@@ -1308,7 +1326,8 @@ fn polymorphic_print<'ctx>(
                 fmt.push('[');
                 flush(ctx, generator, &mut fmt, &mut args);
 
-                let val = ListValue::from_ptr_val(value.into_pointer_value(), llvm_usize, None);
+                let val =
+                    ListValue::from_pointer_value(value.into_pointer_value(), llvm_usize, None);
                 let len = val.load_size(ctx, None);
                 let last =
                     ctx.builder.build_int_sub(len, llvm_usize.const_int(1, false), "").unwrap();
@@ -1359,56 +1378,50 @@ fn polymorphic_print<'ctx>(
             }
 
             TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
-                let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
-
                 fmt.push_str("array([");
                 flush(ctx, generator, &mut fmt, &mut args);
 
-                let val = NDArrayValue::from_ptr_val(value.into_pointer_value(), llvm_usize, None);
-                let len = call_ndarray_calc_size(generator, ctx, &val.dim_sizes(), (None, None));
-                let last =
-                    ctx.builder.build_int_sub(len, llvm_usize.const_int(1, false), "").unwrap();
+                let (dtype, _) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
+                let ndarray = NDArrayType::from_unifier_type(generator, ctx, ty)
+                    .map_pointer_value(value.into_pointer_value(), None);
 
-                gen_for_callback_incrementing(
-                    generator,
-                    ctx,
-                    None,
-                    llvm_usize.const_zero(),
-                    (len, false),
-                    |generator, ctx, _, i| {
-                        let elem = unsafe { val.data().get_unchecked(ctx, generator, &i, None) };
+                let num_0 = llvm_usize.const_zero();
 
-                        polymorphic_print(
-                            ctx,
-                            generator,
-                            &[(elem_ty, elem.into())],
-                            "",
-                            None,
-                            true,
-                            as_rtio,
-                        )?;
+                // Print `ndarray` as a flat list delimited by interspersed with ", \0"
+                ndarray.foreach(generator, ctx, |generator, ctx, _, hdl| {
+                    let i = hdl.get_index(ctx);
+                    let scalar = hdl.get_scalar(ctx);
 
-                        gen_if_callback(
-                            generator,
-                            ctx,
-                            |_, ctx| {
-                                Ok(ctx
-                                    .builder
-                                    .build_int_compare(IntPredicate::ULT, i, last, "")
-                                    .unwrap())
-                            },
-                            |generator, ctx| {
-                                printf(ctx, generator, ", \0".into(), Vec::default());
+                    // if (i != 0) puts(", ");
+                    gen_if_callback(
+                        generator,
+                        ctx,
+                        |_, ctx| {
+                            let not_first = ctx
+                                .builder
+                                .build_int_compare(IntPredicate::NE, i, num_0, "")
+                                .unwrap();
+                            Ok(not_first)
+                        },
+                        |generator, ctx| {
+                            printf(ctx, generator, ", \0".into(), Vec::default());
+                            Ok(())
+                        },
+                        |_, _| Ok(()),
+                    )?;
 
-                                Ok(())
-                            },
-                            |_, _| Ok(()),
-                        )?;
-
-                        Ok(())
-                    },
-                    llvm_usize.const_int(1, false),
-                )?;
+                    // Print element
+                    polymorphic_print(
+                        ctx,
+                        generator,
+                        &[(dtype, scalar.into())],
+                        "",
+                        None,
+                        true,
+                        as_rtio,
+                    )?;
+                    Ok(())
+                })?;
 
                 fmt.push_str(")]");
                 flush(ctx, generator, &mut fmt, &mut args);
@@ -1418,7 +1431,7 @@ fn polymorphic_print<'ctx>(
                 fmt.push_str("range(");
                 flush(ctx, generator, &mut fmt, &mut args);
 
-                let val = RangeValue::from_ptr_val(value.into_pointer_value(), None);
+                let val = RangeType::new(ctx).map_pointer_value(value.into_pointer_value(), None);
 
                 let (start, stop, step) = destructure_range(ctx, val);
 
@@ -1532,7 +1545,7 @@ pub fn call_rtio_log_impl<'ctx>(
 /// Generates a call to `core_log`.
 pub fn gen_core_log<'ctx>(
     ctx: &mut CodeGenContext<'ctx, '_>,
-    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    obj: Option<&(Type, ValueEnum<'ctx>)>,
     fun: (&FunSignature, DefinitionId),
     args: &[(Option<StrRef>, ValueEnum<'ctx>)],
     generator: &mut dyn CodeGenerator,
@@ -1549,7 +1562,7 @@ pub fn gen_core_log<'ctx>(
 /// Generates a call to `rtio_log`.
 pub fn gen_rtio_log<'ctx>(
     ctx: &mut CodeGenContext<'ctx, '_>,
-    obj: &Option<(Type, ValueEnum<'ctx>)>,
+    obj: Option<&(Type, ValueEnum<'ctx>)>,
     fun: (&FunSignature, DefinitionId),
     args: &[(Option<StrRef>, ValueEnum<'ctx>)],
     generator: &mut dyn CodeGenerator,

nac3artiq/src/lib.rs

@@ -1,10 +1,4 @@
-#![deny(
-    future_incompatible,
-    let_underscore,
-    nonstandard_style,
-    rust_2024_compatibility,
-    clippy::all
-)]
+#![deny(future_incompatible, let_underscore, nonstandard_style, clippy::all)]
 #![warn(clippy::pedantic)]
 #![allow(
     unsafe_op_in_unsafe_fn,
@@ -30,26 +24,26 @@ use parking_lot::{Mutex, RwLock};
 use pyo3::{
     create_exception, exceptions,
     prelude::*,
-    types::{PyBytes, PyDict, PySet},
+    types::{PyBytes, PyDict, PyNone, PySet},
 };
 use tempfile::{self, TempDir};
 
 use nac3core::{
     codegen::{
         concrete_type::ConcreteTypeStore, gen_func_impl, irrt::load_irrt, CodeGenLLVMOptions,
-        CodeGenTargetMachineOptions, CodeGenTask, WithCall, WorkerRegistry,
+        CodeGenTargetMachineOptions, CodeGenTask, CodeGenerator, WithCall, WorkerRegistry,
     },
     inkwell::{
         context::Context,
         memory_buffer::MemoryBuffer,
-        module::{Linkage, Module},
+        module::{FlagBehavior, Linkage, Module},
         passes::PassBuilderOptions,
         support::is_multithreaded,
         targets::*,
         OptimizationLevel,
     },
     nac3parser::{
-        ast::{Constant, ExprKind, Located, Stmt, StmtKind, StrRef},
+        ast::{self, Constant, ExprKind, Located, Stmt, StmtKind, StrRef},
         parser::parse_program,
     },
     symbol_resolver::SymbolResolver,
@@ -84,14 +78,62 @@ enum Isa {
 }
 
 impl Isa {
-    /// Returns the number of bits in `size_t` for the [`Isa`].
-    fn get_size_type(self) -> u32 {
-        if self == Isa::Host {
-            64u32
-        } else {
-            32u32
+    /// Returns the [`TargetTriple`] used for compiling to this ISA.
+    pub fn get_llvm_target_triple(self) -> TargetTriple {
+        match self {
+            Isa::Host => TargetMachine::get_default_triple(),
+            Isa::RiscV32G | Isa::RiscV32IMA => TargetTriple::create("riscv32-unknown-linux"),
+            Isa::CortexA9 => TargetTriple::create("armv7-unknown-linux-gnueabihf"),
         }
     }
+
+    /// Returns the [`String`] representing the target CPU used for compiling to this ISA.
+    pub fn get_llvm_target_cpu(self) -> String {
+        match self {
+            Isa::Host => TargetMachine::get_host_cpu_name().to_string(),
+            Isa::RiscV32G | Isa::RiscV32IMA => "generic-rv32".to_string(),
+            Isa::CortexA9 => "cortex-a9".to_string(),
+        }
+    }
+
+    /// Returns the [`String`] representing the target features used for compiling to this ISA.
+    pub fn get_llvm_target_features(self) -> String {
+        match self {
+            Isa::Host => TargetMachine::get_host_cpu_features().to_string(),
+            Isa::RiscV32G => "+a,+m,+f,+d".to_string(),
+            Isa::RiscV32IMA => "+a,+m".to_string(),
+            Isa::CortexA9 => "+dsp,+fp16,+neon,+vfp3,+long-calls".to_string(),
+        }
+    }
+
+    /// Returns an instance of [`CodeGenTargetMachineOptions`] representing the target machine
+    /// options used for compiling to this ISA.
+    pub fn get_llvm_target_options(self) -> CodeGenTargetMachineOptions {
+        CodeGenTargetMachineOptions {
+            triple: self.get_llvm_target_triple().as_str().to_string_lossy().into_owned(),
+            cpu: self.get_llvm_target_cpu(),
+            features: self.get_llvm_target_features(),
+            reloc_mode: RelocMode::PIC,
+            ..CodeGenTargetMachineOptions::from_host()
+        }
+    }
+
+    /// Returns an instance of [`TargetMachine`] used in compiling and linking of a program of this
+    /// ISA.
+    pub fn create_llvm_target_machine(self, opt_level: OptimizationLevel) -> TargetMachine {
+        self.get_llvm_target_options()
+            .create_target_machine(opt_level)
+            .expect("couldn't create target machine")
+    }
+
+    /// Returns the number of bits in `size_t` for this ISA.
+    fn get_size_type(self, ctx: &Context) -> u32 {
+        ctx.ptr_sized_int_type(
+            &self.create_llvm_target_machine(OptimizationLevel::Default).get_target_data(),
+            None,
+        )
+        .get_bit_width()
+    }
 }
 
 #[derive(Clone)]
@@ -117,6 +159,7 @@ pub struct PrimitivePythonId {
     generic_alias: (u64, u64),
     virtual_id: u64,
     option: u64,
+    module: u64,
 }
 
 type TopLevelComponent = (Stmt, String, PyObject);
@@ -148,14 +191,32 @@ impl Nac3 {
         module: &PyObject,
         registered_class_ids: &HashSet<u64>,
     ) -> PyResult<()> {
-        let (module_name, source_file) = Python::with_gil(|py| -> PyResult<(String, String)> {
-            let module: &PyAny = module.extract(py)?;
-            Ok((module.getattr("__name__")?.extract()?, module.getattr("__file__")?.extract()?))
-        })?;
+        let (module_name, source_file, source) =
+            Python::with_gil(|py| -> PyResult<(String, String, String)> {
+                let module: &PyAny = module.extract(py)?;
+                let source_file = module.getattr("__file__");
+                let (source_file, source) = if let Ok(source_file) = source_file {
+                    let source_file = source_file.extract()?;
+                    (
+                        source_file,
+                        fs::read_to_string(source_file).map_err(|e| {
+                            exceptions::PyIOError::new_err(format!(
+                                "failed to read input file: {e}"
+                            ))
+                        })?,
+                    )
+                } else {
+                    // kernels submitted by content have no file
+                    // but still can provide source by StringLoader
+                    let get_src_fn = module
+                        .getattr("__loader__")?
+                        .extract::<PyObject>()?
+                        .getattr(py, "get_source")?;
+                    ("<expcontent>", get_src_fn.call1(py, (PyNone::get(py),))?.extract(py)?)
+                };
+                Ok((module.getattr("__name__")?.extract()?, source_file.to_string(), source))
+            })?;
 
-        let source = fs::read_to_string(&source_file).map_err(|e| {
-            exceptions::PyIOError::new_err(format!("failed to read input file: {e}"))
-        })?;
         let parser_result = parse_program(&source, source_file.into())
             .map_err(|e| exceptions::PySyntaxError::new_err(format!("parse error: {e}")))?;
 
@@ -216,6 +277,10 @@ impl Nac3 {
                         }
                     })
                 }
+                // Allow global variable declaration with `Kernel` type annotation
+                StmtKind::AnnAssign { ref annotation, .. } => {
+                    matches!(&annotation.node, ExprKind::Subscript { value, .. } if matches!(&value.node, ExprKind::Name {id, ..} if id == &"Kernel".into()))
+                }
                 _ => false,
             };
 
@@ -318,7 +383,7 @@ impl Nac3 {
                         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)?;
+                        gen_core_log(ctx, obj.as_ref(), fun, &args, generator)?;
 
                         Ok(None)
                     }))),
@@ -348,7 +413,7 @@ impl Nac3 {
                         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)?;
+                        gen_rtio_log(ctx, obj.as_ref(), fun, &args, generator)?;
 
                         Ok(None)
                     }))),
@@ -366,7 +431,7 @@ impl Nac3 {
         py: Python,
         link_fn: &dyn Fn(&Module) -> PyResult<T>,
     ) -> PyResult<T> {
-        let size_t = self.isa.get_size_type();
+        let size_t = self.isa.get_size_type(&Context::create());
         let (mut composer, mut builtins_def, mut builtins_ty) = TopLevelComposer::new(
             self.builtins.clone(),
             Self::get_lateinit_builtins(),
@@ -409,12 +474,14 @@ impl Nac3 {
         ];
         add_exceptions(&mut composer, &mut builtins_def, &mut builtins_ty, &exception_names);
 
+        // Stores a mapping from module id to attributes
         let mut module_to_resolver_cache: HashMap<u64, _> = HashMap::new();
 
         let mut rpc_ids = vec![];
         for (stmt, path, module) in &self.top_levels {
             let py_module: &PyAny = module.extract(py)?;
             let module_id: u64 = id_fn.call1((py_module,))?.extract()?;
+            let module_name: String = py_module.getattr("__name__")?.extract()?;
             let helper = helper.clone();
             let class_obj;
             if let StmtKind::ClassDef { name, .. } = &stmt.node {
@@ -429,7 +496,7 @@ impl Nac3 {
             } else {
                 class_obj = None;
             }
-            let (name_to_pyid, resolver) =
+            let (name_to_pyid, resolver, _, _) =
                 module_to_resolver_cache.get(&module_id).cloned().unwrap_or_else(|| {
                     let mut name_to_pyid: HashMap<StrRef, u64> = HashMap::new();
                     let members: &PyDict =
@@ -458,9 +525,17 @@ impl Nac3 {
                     })))
                         as Arc<dyn SymbolResolver + Send + Sync>;
                     let name_to_pyid = Rc::new(name_to_pyid);
-                    module_to_resolver_cache
-                        .insert(module_id, (name_to_pyid.clone(), resolver.clone()));
-                    (name_to_pyid, resolver)
+                    let module_location = ast::Location::new(1, 1, stmt.location.file);
+                    module_to_resolver_cache.insert(
+                        module_id,
+                        (
+                            name_to_pyid.clone(),
+                            resolver.clone(),
+                            module_name.clone(),
+                            Some(module_location),
+                        ),
+                    );
+                    (name_to_pyid, resolver, module_name, Some(module_location))
                 });
 
             let (name, def_id, ty) = composer
@@ -534,6 +609,24 @@ impl Nac3 {
             }
         }
 
+        // Adding top level module definitions
+        for (module_id, (module_name_to_pyid, module_resolver, module_name, module_location)) in
+            module_to_resolver_cache
+        {
+            let def_id = composer
+                .register_top_level_module(
+                    &module_name,
+                    &module_name_to_pyid,
+                    module_resolver,
+                    module_location,
+                )
+                .map_err(|e| {
+                    CompileError::new_err(format!("compilation failed\n----------\n{e}"))
+                })?;
+
+            self.pyid_to_def.write().insert(module_id, def_id);
+        }
+
         let id_fun = PyModule::import(py, "builtins")?.getattr("id")?;
         let mut name_to_pyid: HashMap<StrRef, u64> = HashMap::new();
         let module = PyModule::new(py, "tmp")?;
@@ -565,7 +658,7 @@ impl Nac3 {
             field_to_val: RwLock::default(),
             name_to_pyid,
             module: module.to_object(py),
-            helper,
+            helper: helper.clone(),
             string_store: self.string_store.clone(),
             exception_ids: self.exception_ids.clone(),
             deferred_eval_store: self.deferred_eval_store.clone(),
@@ -653,6 +746,9 @@ impl Nac3 {
                             "Unsupported @rpc annotation on global variable",
                         )))
                     }
+                    TopLevelDef::Module { .. } => {
+                        unreachable!("Type module cannot be decorated with @rpc")
+                    }
                 }
             }
         }
@@ -673,33 +769,12 @@ impl Nac3 {
         let task = CodeGenTask {
             subst: Vec::default(),
             symbol_name: "__modinit__".to_string(),
-            body: instance.body,
-            signature,
-            resolver: resolver.clone(),
-            store,
-            unifier_index: instance.unifier_id,
-            calls: instance.calls,
-            id: 0,
-        };
-
-        let mut store = ConcreteTypeStore::new();
-        let mut cache = HashMap::new();
-        let signature = store.from_signature(
-            &mut composer.unifier,
-            &self.primitive,
-            &fun_signature,
-            &mut cache,
-        );
-        let signature = store.add_cty(signature);
-        let attributes_writeback_task = CodeGenTask {
-            subst: Vec::default(),
-            symbol_name: "attributes_writeback".to_string(),
             body: Arc::new(Vec::default()),
             signature,
             resolver,
             store,
             unifier_index: instance.unifier_id,
-            calls: Arc::new(HashMap::default()),
+            calls: instance.calls,
             id: 0,
         };
 
@@ -712,30 +787,47 @@ impl Nac3 {
             let buffer = buffer.as_slice().into();
             membuffer.lock().push(buffer);
         })));
-        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
             .iter()
-            .map(|s| Box::new(ArtiqCodeGenerator::new(s.to_string(), size_t, self.time_fns)))
+            .map(|s| {
+                Box::new(ArtiqCodeGenerator::with_target_machine(
+                    s.to_string(),
+                    &context,
+                    &self.get_llvm_target_machine(),
+                    self.time_fns,
+                ))
+            })
             .collect();
 
         let membuffer = membuffers.clone();
+        let mut has_return = false;
         py.allow_threads(|| {
             let (registry, handles) =
                 WorkerRegistry::create_workers(threads, top_level.clone(), &self.llvm_options, &f);
-            registry.add_task(task);
-            registry.wait_tasks_complete(handles);
 
-            let mut generator =
-                ArtiqCodeGenerator::new("attributes_writeback".to_string(), size_t, self.time_fns);
             let context = Context::create();
-            let module = context.create_module("attributes_writeback");
+            let mut generator = ArtiqCodeGenerator::with_target_machine(
+                "main".to_string(),
+                &context,
+                &self.get_llvm_target_machine(),
+                self.time_fns,
+            );
+            let module = context.create_module("main");
             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",
+                FlagBehavior::Warning,
+                context.i32_type().const_int(3, false),
+            );
+            module.add_basic_value_flag(
+                "Dwarf Version",
+                FlagBehavior::Warning,
+                context.i32_type().const_int(4, false),
+            );
             let builder = context.create_builder();
             let (_, module, _) = gen_func_impl(
                 &context,
@@ -743,9 +835,27 @@ impl Nac3 {
                 &registry,
                 builder,
                 module,
-                attributes_writeback_task,
+                task,
                 |generator, ctx| {
-                    attributes_writeback(ctx, generator, inner_resolver.as_ref(), &host_attributes)
+                    assert_eq!(instance.body.len(), 1, "toplevel module should have 1 statement");
+                    let StmtKind::Expr { value: ref expr, .. } = instance.body[0].node else {
+                        unreachable!("toplevel statement must be an expression")
+                    };
+                    let ExprKind::Call { .. } = expr.node else {
+                        unreachable!("toplevel expression must be a function call")
+                    };
+
+                    let return_obj =
+                        generator.gen_expr(ctx, expr)?.map(|value| (expr.custom.unwrap(), value));
+                    has_return = return_obj.is_some();
+                    registry.wait_tasks_complete(handles);
+                    attributes_writeback(
+                        ctx,
+                        generator,
+                        inner_resolver.as_ref(),
+                        &host_attributes,
+                        return_obj,
+                    )
                 },
             )
             .unwrap();
@@ -754,35 +864,23 @@ impl Nac3 {
             membuffer.lock().push(buffer);
         });
 
+        embedding_map.setattr("expects_return", has_return).unwrap();
+
         // Link all modules into `main`.
         let buffers = membuffers.lock();
         let main = context
-            .create_module_from_ir(MemoryBuffer::create_from_memory_range(&buffers[0], "main"))
+            .create_module_from_ir(MemoryBuffer::create_from_memory_range(
+                buffers.last().unwrap(),
+                "main",
+            ))
             .unwrap();
-        for buffer in buffers.iter().skip(1) {
+        for buffer in buffers.iter().rev().skip(1) {
             let other = context
                 .create_module_from_ir(MemoryBuffer::create_from_memory_range(buffer, "main"))
                 .unwrap();
 
             main.link_in_module(other).map_err(|err| CompileError::new_err(err.to_string()))?;
         }
-        let builder = context.create_builder();
-        let modinit_return = main
-            .get_function("__modinit__")
-            .unwrap()
-            .get_last_basic_block()
-            .unwrap()
-            .get_terminator()
-            .unwrap();
-        builder.position_before(&modinit_return);
-        builder
-            .build_call(
-                main.get_function("attributes_writeback").unwrap(),
-                &[],
-                "attributes_writeback",
-            )
-            .unwrap();
-
         main.link_in_module(irrt).map_err(|err| CompileError::new_err(err.to_string()))?;
 
         let mut function_iter = main.get_first_function();
@@ -817,55 +915,27 @@ impl Nac3 {
             panic!("Failed to run optimization for module `main`: {}", err.to_string());
         }
 
+        Python::with_gil(|py| {
+            let string_store = self.string_store.read();
+            let mut string_store_vec = string_store.iter().collect::<Vec<_>>();
+            string_store_vec.sort_by(|(_s1, key1), (_s2, key2)| key1.cmp(key2));
+            for (s, key) in string_store_vec {
+                let embed_key: i32 = helper.store_str.call1(py, (s,)).unwrap().extract(py).unwrap();
+                assert_eq!(
+                    embed_key, *key,
+                    "string {s} is out of sync between embedding map (key={embed_key}) and \
+                    the internal string store (key={key})"
+                );
+            }
+        });
+
         link_fn(&main)
     }
 
-    /// Returns the [`TargetTriple`] used for compiling to [isa].
-    fn get_llvm_target_triple(isa: Isa) -> TargetTriple {
-        match isa {
-            Isa::Host => TargetMachine::get_default_triple(),
-            Isa::RiscV32G | Isa::RiscV32IMA => TargetTriple::create("riscv32-unknown-linux"),
-            Isa::CortexA9 => TargetTriple::create("armv7-unknown-linux-gnueabihf"),
-        }
-    }
-
-    /// Returns the [`String`] representing the target CPU used for compiling to [isa].
-    fn get_llvm_target_cpu(isa: Isa) -> String {
-        match isa {
-            Isa::Host => TargetMachine::get_host_cpu_name().to_string(),
-            Isa::RiscV32G | Isa::RiscV32IMA => "generic-rv32".to_string(),
-            Isa::CortexA9 => "cortex-a9".to_string(),
-        }
-    }
-
-    /// Returns the [`String`] representing the target features used for compiling to [isa].
-    fn get_llvm_target_features(isa: Isa) -> String {
-        match isa {
-            Isa::Host => TargetMachine::get_host_cpu_features().to_string(),
-            Isa::RiscV32G => "+a,+m,+f,+d".to_string(),
-            Isa::RiscV32IMA => "+a,+m".to_string(),
-            Isa::CortexA9 => "+dsp,+fp16,+neon,+vfp3,+long-calls".to_string(),
-        }
-    }
-
-    /// Returns an instance of [`CodeGenTargetMachineOptions`] representing the target machine
-    /// options used for compiling to [isa].
-    fn get_llvm_target_options(isa: Isa) -> CodeGenTargetMachineOptions {
-        CodeGenTargetMachineOptions {
-            triple: Nac3::get_llvm_target_triple(isa).as_str().to_string_lossy().into_owned(),
-            cpu: Nac3::get_llvm_target_cpu(isa),
-            features: Nac3::get_llvm_target_features(isa),
-            reloc_mode: RelocMode::PIC,
-            ..CodeGenTargetMachineOptions::from_host()
-        }
-    }
-
     /// Returns an instance of [`TargetMachine`] used in compiling and linking of a program to the
-    /// target [isa].
+    /// target [ISA][isa].
     fn get_llvm_target_machine(&self) -> TargetMachine {
-        Nac3::get_llvm_target_options(self.isa)
-            .create_target_machine(self.llvm_options.opt_level)
-            .expect("couldn't create target machine")
+        self.isa.create_llvm_target_machine(self.llvm_options.opt_level)
     }
 }
 
@@ -973,7 +1043,8 @@ impl Nac3 {
             Isa::RiscV32IMA => &timeline::NOW_PINNING_TIME_FNS,
             Isa::CortexA9 | Isa::Host => &timeline::EXTERN_TIME_FNS,
         };
-        let (primitive, _) = TopLevelComposer::make_primitives(isa.get_size_type());
+        let (primitive, _) =
+            TopLevelComposer::make_primitives(isa.get_size_type(&Context::create()));
         let builtins = vec![
             (
                 "now_mu".into(),
@@ -1061,11 +1132,54 @@ impl Nac3 {
             tuple: get_attr_id(builtins_mod, "tuple"),
             exception: get_attr_id(builtins_mod, "Exception"),
             option: get_id(artiq_builtins.get_item("Option").ok().flatten().unwrap()),
+            module: get_attr_id(types_mod, "ModuleType"),
         };
 
         let working_directory = tempfile::Builder::new().prefix("nac3-").tempdir().unwrap();
         fs::write(working_directory.path().join("kernel.ld"), include_bytes!("kernel.ld")).unwrap();
 
+        let mut string_store: HashMap<String, i32> = HashMap::default();
+
+        // Keep this list of exceptions in sync with `EXCEPTION_ID_LOOKUP` in `artiq::firmware::ksupport::eh_artiq`
+        // The exceptions declared here must be defined in `artiq.coredevice.exceptions`
+        // Verify synchronization by running the test cases in `artiq.test.coredevice.test_exceptions`
+        let runtime_exception_names = [
+            "RTIOUnderflow",
+            "RTIOOverflow",
+            "RTIODestinationUnreachable",
+            "DMAError",
+            "I2CError",
+            "CacheError",
+            "SPIError",
+            "SubkernelError",
+            "0:AssertionError",
+            "0:AttributeError",
+            "0:IndexError",
+            "0:IOError",
+            "0:KeyError",
+            "0:NotImplementedError",
+            "0:OverflowError",
+            "0:RuntimeError",
+            "0:TimeoutError",
+            "0:TypeError",
+            "0:ValueError",
+            "0:ZeroDivisionError",
+            "0:LinAlgError",
+            "UnwrapNoneError",
+        ];
+
+        // Preallocate runtime exception names
+        for (i, name) in runtime_exception_names.iter().enumerate() {
+            let exn_name = if name.find(':').is_none() {
+                format!("0:artiq.coredevice.exceptions.{name}")
+            } else {
+                (*name).to_string()
+            };
+
+            let id = i32::try_from(i).unwrap();
+            string_store.insert(exn_name, id);
+        }
+
         Ok(Nac3 {
             isa,
             time_fns,
@@ -1075,17 +1189,22 @@ impl Nac3 {
             top_levels: Vec::default(),
             pyid_to_def: Arc::default(),
             working_directory,
-            string_store: Arc::default(),
+            string_store: Arc::new(string_store.into()),
             exception_ids: Arc::default(),
             deferred_eval_store: DeferredEvaluationStore::new(),
             llvm_options: CodeGenLLVMOptions {
                 opt_level: OptimizationLevel::Default,
-                target: Nac3::get_llvm_target_options(isa),
+                target: isa.get_llvm_target_options(),
             },
         })
     }
 
-    fn analyze(&mut self, functions: &PySet, classes: &PySet) -> PyResult<()> {
+    fn analyze(
+        &mut self,
+        functions: &PySet,
+        classes: &PySet,
+        content_modules: &PySet,
+    ) -> PyResult<()> {
         let (modules, class_ids) =
             Python::with_gil(|py| -> PyResult<(HashMap<u64, PyObject>, HashSet<u64>)> {
                 let mut modules: HashMap<u64, PyObject> = HashMap::new();
@@ -1095,14 +1214,22 @@ impl Nac3 {
                 let getmodule_fn = PyModule::import(py, "inspect")?.getattr("getmodule")?;
 
                 for function in functions {
-                    let module = getmodule_fn.call1((function,))?.extract()?;
-                    modules.insert(id_fn.call1((&module,))?.extract()?, module);
+                    let module: PyObject = getmodule_fn.call1((function,))?.extract()?;
+                    if !module.is_none(py) {
+                        modules.insert(id_fn.call1((&module,))?.extract()?, module);
+                    }
                 }
                 for class in classes {
-                    let module = getmodule_fn.call1((class,))?.extract()?;
-                    modules.insert(id_fn.call1((&module,))?.extract()?, module);
+                    let module: PyObject = getmodule_fn.call1((class,))?.extract()?;
+                    if !module.is_none(py) {
+                        modules.insert(id_fn.call1((&module,))?.extract()?, module);
+                    }
                     class_ids.insert(id_fn.call1((class,))?.extract()?);
                 }
+                for module in content_modules {
+                    let module: PyObject = module.extract()?;
+                    modules.insert(id_fn.call1((&module,))?.extract()?, module);
+                }
                 Ok((modules, class_ids))
             })?;
 

nac3artiq/src/symbol_resolver.rs

@@ -10,18 +10,20 @@ use itertools::Itertools;
 use parking_lot::RwLock;
 use pyo3::{
     types::{PyDict, PyTuple},
-    PyAny, PyObject, PyResult, Python,
+    PyAny, PyErr, PyObject, PyResult, Python,
 };
 
+use super::PrimitivePythonId;
 use nac3core::{
     codegen::{
-        classes::{NDArrayType, ProxyType},
+        types::{ndarray::NDArrayType, structure::StructProxyType, ProxyType},
+        values::ndarray::make_contiguous_strides,
         CodeGenContext, CodeGenerator,
     },
     inkwell::{
         module::Linkage,
         types::{BasicType, BasicTypeEnum},
-        values::BasicValueEnum,
+        values::{BasicValue, BasicValueEnum},
         AddressSpace,
     },
     nac3parser::ast::{self, StrRef},
@@ -37,8 +39,6 @@ use nac3core::{
     },
 };
 
-use super::PrimitivePythonId;
-
 pub enum PrimitiveValue {
     I32(i32),
     I64(i64),
@@ -674,6 +674,48 @@ impl InnerResolver {
             })
         });
 
+        // check if obj is module
+        if self.helper.id_fn.call1(py, (ty.clone(),))?.extract::<u64>(py)?
+            == self.primitive_ids.module
+            && self.pyid_to_def.read().contains_key(&py_obj_id)
+        {
+            let def_id = self.pyid_to_def.read()[&py_obj_id];
+            let def = defs[def_id.0].read();
+            let TopLevelDef::Module { name: module_name, module_id, attributes, methods, .. } =
+                &*def
+            else {
+                unreachable!("must be a module here");
+            };
+            // Construct the module return type
+            let mut module_attributes = HashMap::new();
+            for (name, _) in attributes {
+                let attribute_obj = obj.getattr(name.to_string().as_str())?;
+                let attribute_ty =
+                    self.get_obj_type(py, attribute_obj, unifier, defs, primitives)?;
+                if let Ok(attribute_ty) = attribute_ty {
+                    module_attributes.insert(*name, (attribute_ty, false));
+                } else {
+                    return Ok(Err(format!("Unable to resolve {module_name}.{name}")));
+                }
+            }
+
+            for name in methods.keys() {
+                let method_obj = obj.getattr(name.to_string().as_str())?;
+                let method_ty = self.get_obj_type(py, method_obj, unifier, defs, primitives)?;
+                if let Ok(method_ty) = method_ty {
+                    module_attributes.insert(*name, (method_ty, true));
+                } else {
+                    return Ok(Err(format!("Unable to resolve {module_name}.{name}")));
+                }
+            }
+
+            let module_ty =
+                TypeEnum::TModule { module_id: *module_id, attributes: module_attributes };
+
+            let ty = unifier.add_ty(module_ty);
+            return Ok(Ok(ty));
+        }
+
         if let Some(ty) = constructor_ty {
             self.pyid_to_type.write().insert(py_obj_id, ty);
             return Ok(Ok(ty));
@@ -931,10 +973,13 @@ impl InnerResolver {
                         |_| Ok(Ok(extracted_ty)),
                     )
                 } else if unifier.unioned(extracted_ty, primitives.bool) {
-                    obj.extract::<bool>().map_or_else(
-                        |_| Ok(Err(format!("{obj} is not in the range of bool"))),
-                        |_| Ok(Ok(extracted_ty)),
-                    )
+                    if obj.extract::<bool>().is_ok()
+                        || obj.call_method("__bool__", (), None)?.extract::<bool>().is_ok()
+                    {
+                        Ok(Ok(extracted_ty))
+                    } else {
+                        Ok(Err(format!("{obj} is not in the range of bool")))
+                    }
                 } else if unifier.unioned(extracted_ty, primitives.float) {
                     obj.extract::<f64>().map_or_else(
                         |_| Ok(Err(format!("{obj} is not in the range of float64"))),
@@ -974,10 +1019,14 @@ impl InnerResolver {
             let val: u64 = obj.extract().unwrap();
             self.id_to_primitive.write().insert(id, PrimitiveValue::U64(val));
             Ok(Some(ctx.ctx.i64_type().const_int(val, false).into()))
-        } else if ty_id == self.primitive_ids.bool || ty_id == self.primitive_ids.np_bool_ {
+        } else if ty_id == self.primitive_ids.bool {
             let val: bool = obj.extract().unwrap();
             self.id_to_primitive.write().insert(id, PrimitiveValue::Bool(val));
             Ok(Some(ctx.ctx.i8_type().const_int(u64::from(val), false).into()))
+        } else if ty_id == self.primitive_ids.np_bool_ {
+            let val: bool = obj.call_method("__bool__", (), None)?.extract().unwrap();
+            self.id_to_primitive.write().insert(id, PrimitiveValue::Bool(val));
+            Ok(Some(ctx.ctx.i8_type().const_int(u64::from(val), false).into()))
         } 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()));
@@ -1000,7 +1049,7 @@ impl InnerResolver {
                 }
                 _ => unreachable!("must be list"),
             };
-            let size_t = generator.get_size_type(ctx.ctx);
+            let size_t = ctx.get_size_type();
             let ty = if len == 0
                 && matches!(&*ctx.unifier.get_ty_immutable(elem_ty), TypeEnum::TVar { .. })
             {
@@ -1085,18 +1134,19 @@ impl InnerResolver {
             } else {
                 unreachable!("must be ndarray")
             };
-            let (ndarray_dtype, ndarray_ndims) =
-                unpack_ndarray_var_tys(&mut ctx.unifier, ndarray_ty);
+            let (ndarray_dtype, _) = unpack_ndarray_var_tys(&mut ctx.unifier, ndarray_ty);
 
-            let llvm_usize = generator.get_size_type(ctx.ctx);
-            let ndarray_dtype_llvm_ty = ctx.get_llvm_type(generator, ndarray_dtype);
-            let ndarray_llvm_ty = NDArrayType::new(generator, ctx.ctx, ndarray_dtype_llvm_ty);
+            let llvm_i8 = ctx.ctx.i8_type();
+            let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+            let llvm_usize = ctx.get_size_type();
+            let llvm_ndarray = NDArrayType::from_unifier_type(generator, ctx, ndarray_ty);
+            let dtype = llvm_ndarray.element_type();
 
             {
                 if self.global_value_ids.read().contains_key(&id) {
                     let global = ctx.module.get_global(&id_str).unwrap_or_else(|| {
                         ctx.module.add_global(
-                            ndarray_llvm_ty.as_underlying_type(),
+                            llvm_ndarray.as_abi_type().get_element_type().into_struct_type(),
                             Some(AddressSpace::default()),
                             &id_str,
                         )
@@ -1106,40 +1156,44 @@ impl InnerResolver {
                 self.global_value_ids.write().insert(id, obj.into());
             }
 
-            let TypeEnum::TLiteral { values, .. } = &*ctx.unifier.get_ty_immutable(ndarray_ndims)
-            else {
-                unreachable!("Expected Literal for ndarray_ndims")
-            };
-
-            let ndarray_ndims = if values.len() == 1 {
-                values[0].clone()
-            } else {
-                todo!("Unpacking literal of more than one element unimplemented")
-            };
-            let Ok(ndarray_ndims) = u64::try_from(ndarray_ndims) else {
-                unreachable!("Expected u64 value for ndarray_ndims")
-            };
+            let ndims = llvm_ndarray.ndims();
 
             // Obtain the shape of the ndarray
             let shape_tuple: &PyTuple = obj.getattr("shape")?.downcast()?;
-            assert_eq!(shape_tuple.len(), ndarray_ndims as usize);
-            let shape_values: Result<Option<Vec<_>>, _> = shape_tuple
+            assert_eq!(shape_tuple.len(), ndims as usize);
+
+            // The Rust type inferencer cannot figure this out
+            let shape_values = shape_tuple
                 .iter()
                 .enumerate()
                 .map(|(i, elem)| {
-                    self.get_obj_value(py, elem, ctx, generator, ctx.primitives.usize()).map_err(
-                        |e| super::CompileError::new_err(format!("Error getting element {i}: {e}")),
-                    )
+                    let value = self
+                        .get_obj_value(py, elem, ctx, generator, ctx.primitives.usize())
+                        .map_err(|e| {
+                            super::CompileError::new_err(format!("Error getting element {i}: {e}"))
+                        })?
+                        .unwrap();
+                    let value = ctx
+                        .builder
+                        .build_int_z_extend(value.into_int_value(), llvm_usize, "")
+                        .unwrap();
+                    Ok(value)
                 })
-                .collect();
-            let shape_values = shape_values?.unwrap();
-            let shape_values = llvm_usize.const_array(
-                &shape_values.into_iter().map(BasicValueEnum::into_int_value).collect_vec(),
-            );
+                .collect::<Result<Vec<_>, PyErr>>()?;
+
+            // Also use this opportunity to get the constant values of `shape_values` for calculating strides.
+            let shape_u64s = shape_values
+                .iter()
+                .map(|dim| {
+                    assert!(dim.is_const());
+                    dim.get_zero_extended_constant().unwrap()
+                })
+                .collect_vec();
+            let shape_values = llvm_usize.const_array(&shape_values);
 
             // create a global for ndarray.shape and initialize it using the shape
             let shape_global = ctx.module.add_global(
-                llvm_usize.array_type(ndarray_ndims as u32),
+                llvm_usize.array_type(ndims as u32),
                 Some(AddressSpace::default()),
                 &(id_str.clone() + ".shape"),
             );
@@ -1147,17 +1201,25 @@ impl InnerResolver {
 
             // Obtain the (flattened) elements of the ndarray
             let sz: usize = obj.getattr("size")?.extract()?;
-            let data: Result<Option<Vec<_>>, _> = (0..sz)
+            let data: Vec<_> = (0..sz)
                 .map(|i| {
                     obj.getattr("flat")?.get_item(i).and_then(|elem| {
-                        self.get_obj_value(py, elem, ctx, generator, ndarray_dtype).map_err(|e| {
-                            super::CompileError::new_err(format!("Error getting element {i}: {e}"))
-                        })
+                        let value = self
+                            .get_obj_value(py, elem, ctx, generator, ndarray_dtype)
+                            .map_err(|e| {
+                                super::CompileError::new_err(format!(
+                                    "Error getting element {i}: {e}"
+                                ))
+                            })?
+                            .unwrap();
+
+                        assert_eq!(value.get_type(), dtype);
+                        Ok(value)
                     })
                 })
-                .collect();
-            let data = data?.unwrap().into_iter();
-            let data = match ndarray_dtype_llvm_ty {
+                .try_collect()?;
+            let data = data.into_iter();
+            let data = match dtype {
                 BasicTypeEnum::ArrayType(ty) => {
                     ty.const_array(&data.map(BasicValueEnum::into_array_value).collect_vec())
                 }
@@ -1182,34 +1244,93 @@ impl InnerResolver {
             };
 
             // create a global for ndarray.data and initialize it using the elements
+            //
+            // NOTE: NDArray's `data` is `u8*`. Here, `data_global` is an array of `dtype`.
+            // We will have to cast it to an `u8*` later.
             let data_global = ctx.module.add_global(
-                ndarray_dtype_llvm_ty.array_type(sz as u32),
+                dtype.array_type(sz as u32),
                 Some(AddressSpace::default()),
                 &(id_str.clone() + ".data"),
             );
             data_global.set_initializer(&data);
 
+            // Get the constant itemsize.
+            //
+            // NOTE: dtype.size_of() may return a non-constant, where `TargetData::get_store_size`
+            // will always return a constant size.
+            let itemsize = ctx
+                .registry
+                .llvm_options
+                .create_target_machine()
+                .map(|tm| tm.get_target_data().get_store_size(&dtype))
+                .unwrap();
+            assert_ne!(itemsize, 0);
+
+            // Create the strides needed for ndarray.strides
+            let strides = make_contiguous_strides(itemsize, ndims, &shape_u64s);
+            let strides =
+                strides.into_iter().map(|stride| llvm_usize.const_int(stride, false)).collect_vec();
+            let strides = llvm_usize.const_array(&strides);
+
+            // create a global for ndarray.strides and initialize it
+            let strides_global = ctx.module.add_global(
+                llvm_usize.array_type(ndims as u32),
+                Some(AddressSpace::default()),
+                &format!("${id_str}.strides"),
+            );
+            strides_global.set_initializer(&strides);
+
             // create a global for the ndarray object and initialize it
-            let value = ndarray_llvm_ty.as_underlying_type().const_named_struct(&[
-                llvm_usize.const_int(ndarray_ndims, false).into(),
-                shape_global
-                    .as_pointer_value()
-                    .const_cast(llvm_usize.ptr_type(AddressSpace::default()))
-                    .into(),
-                data_global
-                    .as_pointer_value()
-                    .const_cast(ndarray_dtype_llvm_ty.ptr_type(AddressSpace::default()))
-                    .into(),
+
+            // NOTE: data_global is an array of dtype, we want a `u8*`.
+            let ndarray_data = data_global.as_pointer_value();
+            let ndarray_data = ctx.builder.build_pointer_cast(ndarray_data, llvm_pi8, "").unwrap();
+
+            let ndarray_itemsize = llvm_usize.const_int(itemsize, false);
+
+            let ndarray_ndims = llvm_usize.const_int(ndims, false);
+
+            // calling as_pointer_value on shape and strides returns [i64 x ndims]*
+            // convert into i64* to conform with expected layout of ndarray
+
+            let ndarray_shape = shape_global.as_pointer_value();
+            let ndarray_shape = unsafe {
+                ctx.builder
+                    .build_in_bounds_gep(
+                        ndarray_shape,
+                        &[llvm_usize.const_zero(), llvm_usize.const_zero()],
+                        "",
+                    )
+                    .unwrap()
+            };
+
+            let ndarray_strides = strides_global.as_pointer_value();
+            let ndarray_strides = unsafe {
+                ctx.builder
+                    .build_in_bounds_gep(
+                        ndarray_strides,
+                        &[llvm_usize.const_zero(), llvm_usize.const_zero()],
+                        "",
+                    )
+                    .unwrap()
+            };
+
+            let ndarray = llvm_ndarray.get_struct_type().const_named_struct(&[
+                ndarray_itemsize.into(),
+                ndarray_ndims.into(),
+                ndarray_shape.into(),
+                ndarray_strides.into(),
+                ndarray_data.into(),
             ]);
 
-            let ndarray = ctx.module.add_global(
-                ndarray_llvm_ty.as_underlying_type(),
+            let ndarray_global = ctx.module.add_global(
+                llvm_ndarray.as_abi_type().get_element_type().into_struct_type(),
                 Some(AddressSpace::default()),
                 &id_str,
             );
-            ndarray.set_initializer(&value);
+            ndarray_global.set_initializer(&ndarray);
 
-            Ok(Some(ndarray.as_pointer_value().into()))
+            Ok(Some(ndarray_global.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, is_vararg_ctx: false } = expected_ty_enum.as_ref() else {
@@ -1290,6 +1411,77 @@ impl InnerResolver {
                     None => Ok(None),
                 }
             }
+        } else if ty_id == self.primitive_ids.module {
+            let id_str = id.to_string();
+
+            if let Some(global) = ctx.module.get_global(&id_str) {
+                return Ok(Some(global.as_pointer_value().into()));
+            }
+
+            let top_level_defs = ctx.top_level.definitions.read();
+            let ty = self
+                .get_obj_type(py, obj, &mut ctx.unifier, &top_level_defs, &ctx.primitives)?
+                .unwrap();
+            let ty = ctx
+                .get_llvm_type(generator, ty)
+                .into_pointer_type()
+                .get_element_type()
+                .into_struct_type();
+
+            {
+                if self.global_value_ids.read().contains_key(&id) {
+                    let global = ctx.module.get_global(&id_str).unwrap_or_else(|| {
+                        ctx.module.add_global(ty, Some(AddressSpace::default()), &id_str)
+                    });
+                    return Ok(Some(global.as_pointer_value().into()));
+                }
+                self.global_value_ids.write().insert(id, obj.into());
+            }
+
+            let fields = {
+                let definition =
+                    top_level_defs.get(self.pyid_to_def.read().get(&id).unwrap().0).unwrap().read();
+                let TopLevelDef::Module { attributes, .. } = &*definition else { unreachable!() };
+                attributes
+                    .iter()
+                    .filter_map(|f| {
+                        let definition = top_level_defs.get(f.1 .0).unwrap().read();
+                        if let TopLevelDef::Variable { ty, .. } = &*definition {
+                            Some((f.0, *ty))
+                        } else {
+                            None
+                        }
+                    })
+                    .collect_vec()
+            };
+
+            let values: Result<Option<Vec<_>>, _> = fields
+                .iter()
+                .map(|(name, ty)| {
+                    self.get_obj_value(
+                        py,
+                        obj.getattr(name.to_string().as_str())?,
+                        ctx,
+                        generator,
+                        *ty,
+                    )
+                    .map_err(|e| {
+                        super::CompileError::new_err(format!("Error getting field {name}: {e}"))
+                    })
+                })
+                .collect();
+            let values = values?;
+
+            if let Some(values) = values {
+                let val = ty.const_named_struct(&values);
+                let global = ctx.module.get_global(&id_str).unwrap_or_else(|| {
+                    ctx.module.add_global(ty, Some(AddressSpace::default()), &id_str)
+                });
+                global.set_initializer(&val);
+                Ok(Some(global.as_pointer_value().into()))
+            } else {
+                Ok(None)
+            }
         } else {
             let id_str = id.to_string();
 
@@ -1369,9 +1561,12 @@ impl InnerResolver {
         } else if ty_id == self.primitive_ids.uint64 {
             let val: u64 = obj.extract()?;
             Ok(SymbolValue::U64(val))
-        } else if ty_id == self.primitive_ids.bool || ty_id == self.primitive_ids.np_bool_ {
+        } else if ty_id == self.primitive_ids.bool {
             let val: bool = obj.extract()?;
             Ok(SymbolValue::Bool(val))
+        } else if ty_id == self.primitive_ids.np_bool_ {
+            let val: bool = obj.call_method("__bool__", (), None)?.extract()?;
+            Ok(SymbolValue::Bool(val))
         } else if ty_id == self.primitive_ids.string || ty_id == self.primitive_ids.np_str_ {
             let val: String = obj.extract()?;
             Ok(SymbolValue::Str(val))
@@ -1469,9 +1664,50 @@ impl SymbolResolver for Resolver {
     fn get_symbol_value<'ctx>(
         &self,
         id: StrRef,
-        _: &mut CodeGenContext<'ctx, '_>,
-        _: &mut dyn CodeGenerator,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut dyn CodeGenerator,
     ) -> Option<ValueEnum<'ctx>> {
+        if let Some(def_id) = self.0.id_to_def.read().get(&id) {
+            let top_levels = ctx.top_level.definitions.read();
+            if matches!(&*top_levels[def_id.0].read(), TopLevelDef::Variable { .. }) {
+                let module_val = &self.0.module;
+                let ret = Python::with_gil(|py| -> PyResult<Result<BasicValueEnum, String>> {
+                    let module_val = module_val.as_ref(py);
+
+                    let ty = self.0.get_obj_type(
+                        py,
+                        module_val,
+                        &mut ctx.unifier,
+                        &top_levels,
+                        &ctx.primitives,
+                    )?;
+                    if let Err(ty) = ty {
+                        return Ok(Err(ty));
+                    }
+                    let ty = ty.unwrap();
+                    let obj = self.0.get_obj_value(py, module_val, ctx, generator, ty)?.unwrap();
+                    let (idx, _) = ctx.get_attr_index(ty, id);
+                    let ret = unsafe {
+                        ctx.builder.build_gep(
+                            obj.into_pointer_value(),
+                            &[
+                                ctx.ctx.i32_type().const_zero(),
+                                ctx.ctx.i32_type().const_int(idx as u64, false),
+                            ],
+                            id.to_string().as_str(),
+                        )
+                    }
+                    .unwrap();
+                    Ok(Ok(ret.as_basic_value_enum()))
+                })
+                .unwrap();
+                if ret.is_err() {
+                    return None;
+                }
+                return Some(ret.unwrap().into());
+            }
+        }
+
         let sym_value = {
             let id_to_val = self.0.id_to_pyval.read();
             id_to_val.get(&id).cloned()
@@ -1532,10 +1768,7 @@ impl SymbolResolver for Resolver {
         if let Some(id) = string_store.get(s) {
             *id
         } else {
-            let id = Python::with_gil(|py| -> PyResult<i32> {
-                self.0.helper.store_str.call1(py, (s,))?.extract(py)
-            })
-            .unwrap();
+            let id = i32::try_from(string_store.len()).unwrap();
             string_store.insert(s.into(), id);
             id
         }

nac3ast/Cargo.toml

@@ -10,7 +10,6 @@ constant-optimization = ["fold"]
 fold = []
 
 [dependencies]
-lazy_static = "1.5"
 parking_lot = "0.12"
-string-interner = "0.17"
+string-interner = "0.18"
 fxhash = "0.2"

nac3ast/src/ast_gen.rs

@@ -5,14 +5,12 @@ pub use crate::location::Location;
 
 use fxhash::FxBuildHasher;
 use parking_lot::{Mutex, MutexGuard};
-use std::{cell::RefCell, collections::HashMap, fmt};
+use std::{cell::RefCell, collections::HashMap, fmt, sync::LazyLock};
 use string_interner::{symbol::SymbolU32, DefaultBackend, StringInterner};
 
 pub type Interner = StringInterner<DefaultBackend, FxBuildHasher>;
-lazy_static! {
-    static ref INTERNER: Mutex<Interner> =
-        Mutex::new(StringInterner::with_hasher(FxBuildHasher::default()));
-}
+static INTERNER: LazyLock<Mutex<Interner>> =
+    LazyLock::new(|| Mutex::new(StringInterner::with_hasher(FxBuildHasher::default())));
 
 thread_local! {
     static LOCAL_INTERNER: RefCell<HashMap<String, StrRef>> = RefCell::default();

nac3ast/src/lib.rs

@@ -1,10 +1,4 @@
-#![deny(
-    future_incompatible,
-    let_underscore,
-    nonstandard_style,
-    rust_2024_compatibility,
-    clippy::all
-)]
+#![deny(future_incompatible, let_underscore, nonstandard_style, clippy::all)]
 #![warn(clippy::pedantic)]
 #![allow(
     clippy::missing_errors_doc,
@@ -14,9 +8,6 @@
     clippy::wildcard_imports
 )]
 
-#[macro_use]
-extern crate lazy_static;
-
 mod ast_gen;
 mod constant;
 #[cfg(feature = "fold")]

nac3core/Cargo.toml

@@ -5,14 +5,16 @@ authors = ["M-Labs"]
 edition = "2021"
 
 [features]
+default = ["derive"]
+derive = ["dep:nac3core_derive"]
 no-escape-analysis = []
 
 [dependencies]
-itertools = "0.13"
+itertools = "0.14"
 crossbeam = "0.8"
-indexmap = "2.6"
+indexmap = "2.7"
 parking_lot = "0.12"
-rayon = "1.10"
+nac3core_derive = { path = "nac3core_derive", optional = true }
 nac3parser = { path = "../nac3parser" }
 strum = "0.26"
 strum_macros = "0.26"
@@ -28,4 +30,4 @@ indoc = "2.0"
 insta = "=1.11.0"
 
 [build-dependencies]
-regex = "1.10"
+regex = "1.11"

nac3core/build.rs

@@ -56,9 +56,8 @@ fn main() {
     let output = Command::new("clang-irrt")
         .args(flags)
         .output()
-        .map(|o| {
+        .inspect(|o| {
             assert!(o.status.success(), "{}", std::str::from_utf8(&o.stderr).unwrap());
-            o
         })
         .unwrap();
 

nac3core/irrt/irrt.cpp

@@ -1,6 +1,15 @@
 #include "irrt/exception.hpp"
-#include "irrt/int_types.hpp"
 #include "irrt/list.hpp"
 #include "irrt/math.hpp"
-#include "irrt/ndarray.hpp"
+#include "irrt/range.hpp"
 #include "irrt/slice.hpp"
+#include "irrt/string.hpp"
+#include "irrt/ndarray/basic.hpp"
+#include "irrt/ndarray/def.hpp"
+#include "irrt/ndarray/iter.hpp"
+#include "irrt/ndarray/indexing.hpp"
+#include "irrt/ndarray/array.hpp"
+#include "irrt/ndarray/reshape.hpp"
+#include "irrt/ndarray/broadcast.hpp"
+#include "irrt/ndarray/transpose.hpp"
+#include "irrt/ndarray/matmul.hpp"

nac3core/irrt/irrt/cslice.hpp

@@ -4,6 +4,6 @@
 
 template<typename SizeT>
 struct CSlice {
-    uint8_t* base;
+    void* base;
     SizeT len;
 };

nac3core/irrt/irrt/exception.hpp

@@ -6,7 +6,7 @@
 /**
  * @brief The int type of ARTIQ exception IDs.
  */
-typedef int32_t ExceptionId;
+using ExceptionId = int32_t;
 
 /*
  * Set of exceptions C++ IRRT can use.
@@ -55,11 +55,14 @@ void _raise_exception_helper(ExceptionId id,
                              int64_t param2) {
     Exception<SizeT> e = {
         .id = id,
-        .filename = {.base = reinterpret_cast<const uint8_t*>(filename), .len = __builtin_strlen(filename)},
+        .filename = {.base = reinterpret_cast<void*>(const_cast<char*>(filename)),
+                     .len = static_cast<SizeT>(__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)},
+        .function = {.base = reinterpret_cast<void*>(const_cast<char*>(function)),
+                     .len = static_cast<SizeT>(__builtin_strlen(function))},
+        .msg = {.base = reinterpret_cast<void*>(const_cast<char*>(msg)),
+                .len = static_cast<SizeT>(__builtin_strlen(msg))},
     };
     e.params[0] = param0;
     e.params[1] = param1;
@@ -67,6 +70,7 @@ void _raise_exception_helper(ExceptionId id,
     __nac3_raise(reinterpret_cast<void*>(&e));
     __builtin_unreachable();
 }
+}  // namespace
 
 /**
  * @brief Raise an exception with location details (location in the IRRT source files).
@@ -79,4 +83,3 @@ void _raise_exception_helper(ExceptionId id,
  */
 #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

@@ -8,15 +8,18 @@ using uint32_t = unsigned _BitInt(32);
 using int64_t = _BitInt(64);
 using uint64_t = unsigned _BitInt(64);
 #else
+
+#pragma clang diagnostic push
+#pragma clang diagnostic ignored "-Wdeprecated-type"
 using int8_t = _ExtInt(8);
 using uint8_t = unsigned _ExtInt(8);
 using int32_t = _ExtInt(32);
 using uint32_t = unsigned _ExtInt(32);
 using int64_t = _ExtInt(64);
 using uint64_t = unsigned _ExtInt(64);
+#pragma clang diagnostic pop
+
 #endif
 
-// 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

@@ -2,6 +2,21 @@
 
 #include "irrt/int_types.hpp"
 #include "irrt/math_util.hpp"
+#include "irrt/slice.hpp"
+
+namespace {
+/**
+ * @brief A list in NAC3.
+ *
+ * The `items` field is opaque. You must rely on external contexts to
+ * know how to interpret it.
+ */
+template<typename SizeT>
+struct List {
+    uint8_t* items;
+    SizeT len;
+};
+}  // namespace
 
 extern "C" {
 // Handle list assignment and dropping part of the list when
@@ -13,12 +28,12 @@ extern "C" {
 SliceIndex __nac3_list_slice_assign_var_size(SliceIndex dest_start,
                                              SliceIndex dest_end,
                                              SliceIndex dest_step,
-                                             uint8_t* dest_arr,
+                                             void* dest_arr,
                                              SliceIndex dest_arr_len,
                                              SliceIndex src_start,
                                              SliceIndex src_end,
                                              SliceIndex src_step,
-                                             uint8_t* src_arr,
+                                             void* src_arr,
                                              SliceIndex src_arr_len,
                                              const SliceIndex size) {
     /* if dest_arr_len == 0, do nothing since we do not support extending list */
@@ -29,11 +44,13 @@ SliceIndex __nac3_list_slice_assign_var_size(SliceIndex dest_start,
         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);
+            __builtin_memmove(static_cast<uint8_t*>(dest_arr) + dest_start * size,
+                              static_cast<uint8_t*>(src_arr) + src_start * size, src_len * size);
         }
         if (dest_len > 0) {
             /* dropping */
-            __builtin_memmove(dest_arr + (dest_start + src_len) * size, dest_arr + (dest_end + 1) * size,
+            __builtin_memmove(static_cast<uint8_t*>(dest_arr) + (dest_start + src_len) * size,
+                              static_cast<uint8_t*>(dest_arr) + (dest_end + 1) * size,
                               (dest_arr_len - dest_end - 1) * size);
         }
         /* shrink size */
@@ -44,7 +61,7 @@ SliceIndex __nac3_list_slice_assign_var_size(SliceIndex dest_start,
                           && !(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));
+        void* tmp = __builtin_alloca(src_arr_len * size);
         __builtin_memcpy(tmp, src_arr, src_arr_len * size);
         src_arr = tmp;
     }
@@ -53,20 +70,24 @@ SliceIndex __nac3_list_slice_assign_var_size(SliceIndex 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);
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind, static_cast<uint8_t*>(src_arr) + src_ind, 1);
         } else if (size == 4) {
-            __builtin_memcpy(dest_arr + dest_ind * 4, src_arr + src_ind * 4, 4);
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind * 4,
+                             static_cast<uint8_t*>(src_arr) + src_ind * 4, 4);
         } else if (size == 8) {
-            __builtin_memcpy(dest_arr + dest_ind * 8, src_arr + src_ind * 8, 8);
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind * 8,
+                             static_cast<uint8_t*>(src_arr) + src_ind * 8, 8);
         } else {
             /* memcpy for var size, cannot overlap after previous alloca */
-            __builtin_memcpy(dest_arr + dest_ind * size, src_arr + src_ind * size, size);
+            __builtin_memcpy(static_cast<uint8_t*>(dest_arr) + dest_ind * size,
+                             static_cast<uint8_t*>(src_arr) + src_ind * size, size);
         }
     }
     /* only dest_step == 1 can we shrink the dest list. */
     /* size should be ensured prior to calling this function */
     if (dest_step == 1 && dest_end >= dest_start) {
-        __builtin_memmove(dest_arr + dest_ind * size, dest_arr + (dest_end + 1) * size,
+        __builtin_memmove(static_cast<uint8_t*>(dest_arr) + dest_ind * size,
+                          static_cast<uint8_t*>(dest_arr) + (dest_end + 1) * size,
                           (dest_arr_len - dest_end - 1) * size);
         return dest_arr_len - (dest_end - dest_ind) - 1;
     }

nac3core/irrt/irrt/math.hpp

@@ -1,5 +1,7 @@
 #pragma once
 
+#include "irrt/int_types.hpp"
+
 namespace {
 // adapted from GNU Scientific Library: https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
 // need to make sure `exp >= 0` before calling this function
@@ -90,4 +92,4 @@ double __nac3_j0(double x) {
 
     return j0(x);
 }
-}
+}  // namespace

nac3core/irrt/irrt/ndarray.hpp

@@ -1,144 +0,0 @@
-#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/ndarray/array.hpp

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

nac3core/irrt/irrt/ndarray/basic.hpp

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

nac3core/irrt/irrt/ndarray/broadcast.hpp

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

nac3core/irrt/irrt/ndarray/def.hpp

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

nac3core/irrt/irrt/ndarray/indexing.hpp

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

nac3core/irrt/irrt/ndarray/iter.hpp

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

nac3core/irrt/irrt/ndarray/matmul.hpp

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

nac3core/irrt/irrt/ndarray/reshape.hpp

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

nac3core/irrt/irrt/ndarray/transpose.hpp

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

nac3core/irrt/irrt/range.hpp

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

nac3core/irrt/irrt/slice.hpp

@@ -1,6 +1,145 @@
 #pragma once
 
+#include "irrt/debug.hpp"
+#include "irrt/exception.hpp"
 #include "irrt/int_types.hpp"
+#include "irrt/math_util.hpp"
+#include "irrt/range.hpp"
+
+namespace {
+namespace slice {
+/**
+ * @brief Resolve a possibly negative index in a list of a known length.
+ *
+ * Returns -1 if the resolved index is out of the list's bounds.
+ */
+template<typename T>
+T resolve_index_in_length(T length, T index) {
+    T resolved = index < 0 ? length + index : index;
+    if (0 <= resolved && resolved < length) {
+        return resolved;
+    } else {
+        return -1;
+    }
+}
+
+/**
+ * @brief Resolve a slice as a range.
+ *
+ * This is equivalent to `range(*slice(start, stop, step).indices(length))` in Python.
+ */
+template<typename T>
+void indices(bool start_defined,
+             T start,
+             bool stop_defined,
+             T stop,
+             bool step_defined,
+             T step,
+             T length,
+             T* range_start,
+             T* range_stop,
+             T* range_step) {
+    // Reference: https://github.com/python/cpython/blob/main/Objects/sliceobject.c#L388
+    *range_step = step_defined ? step : 1;
+    bool step_is_negative = *range_step < 0;
+
+    T lower, upper;
+    if (step_is_negative) {
+        lower = -1;
+        upper = length - 1;
+    } else {
+        lower = 0;
+        upper = length;
+    }
+
+    if (start_defined) {
+        *range_start = start < 0 ? max(lower, start + length) : min(upper, start);
+    } else {
+        *range_start = step_is_negative ? upper : lower;
+    }
+
+    if (stop_defined) {
+        *range_stop = stop < 0 ? max(lower, stop + length) : min(upper, stop);
+    } else {
+        *range_stop = step_is_negative ? lower : upper;
+    }
+}
+}  // namespace slice
+
+/**
+ * @brief A Python-like slice with **unresolved** indices.
+ */
+template<typename T>
+struct Slice {
+    bool start_defined;
+    T start;
+
+    bool stop_defined;
+    T stop;
+
+    bool step_defined;
+    T step;
+
+    Slice() { this->reset(); }
+
+    void reset() {
+        this->start_defined = false;
+        this->stop_defined = false;
+        this->step_defined = false;
+    }
+
+    void set_start(T start) {
+        this->start_defined = true;
+        this->start = start;
+    }
+
+    void set_stop(T stop) {
+        this->stop_defined = true;
+        this->stop = stop;
+    }
+
+    void set_step(T step) {
+        this->step_defined = true;
+        this->step = step;
+    }
+
+    /**
+     * @brief Resolve this slice as a range.
+     *
+     * In Python, this would be `range(*slice(start, stop, step).indices(length))`.
+     */
+    template<typename SizeT>
+    Range<T> indices(T length) {
+        // Reference:
+        // https://github.com/python/cpython/blob/main/Objects/sliceobject.c#L388
+        debug_assert(SizeT, length >= 0);
+
+        Range<T> result;
+        slice::indices(start_defined, start, stop_defined, stop, step_defined, step, length, &result.start,
+                       &result.stop, &result.step);
+        return result;
+    }
+
+    /**
+     * @brief Like `.indices()` but with assertions.
+     */
+    template<typename SizeT>
+    Range<T> indices_checked(T length) {
+        // TODO: Switch to `SizeT length`
+
+        if (length < 0) {
+            raise_exception(SizeT, EXN_VALUE_ERROR, "length should not be negative, got {0}", length, NO_PARAM,
+                            NO_PARAM);
+        }
+
+        if (this->step_defined && this->step == 0) {
+            raise_exception(SizeT, EXN_VALUE_ERROR, "slice step cannot be zero", NO_PARAM, NO_PARAM, NO_PARAM);
+        }
+
+        return this->indices<SizeT>(length);
+    }
+};
+}  // namespace
 
 extern "C" {
 SliceIndex __nac3_slice_index_bound(SliceIndex i, const SliceIndex len) {
@@ -14,15 +153,4 @@ SliceIndex __nac3_slice_index_bound(SliceIndex i, const SliceIndex 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/irrt/irrt/string.hpp

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

nac3core/nac3core_derive/Cargo.toml

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

nac3core/nac3core_derive/src/lib.rs

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

nac3core/nac3core_derive/tests/structfields_empty.rs

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

nac3core/nac3core_derive/tests/structfields_ndarray.rs

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

nac3core/nac3core_derive/tests/structfields_slice.rs

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

nac3core/nac3core_derive/tests/structfields_slice_context.rs

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

nac3core/nac3core_derive/tests/structfields_slice_ctx.rs

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

nac3core/nac3core_derive/tests/structfields_slice_sizet.rs

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

nac3core/nac3core_derive/tests/structfields_test.rs

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

nac3core/src/codegen/concrete_type.rs

@@ -56,6 +56,10 @@ pub enum ConcreteTypeEnum {
         fields: HashMap<StrRef, (ConcreteType, bool)>,
         params: IndexMap<TypeVarId, ConcreteType>,
     },
+    TModule {
+        module_id: DefinitionId,
+        methods: HashMap<StrRef, (ConcreteType, bool)>,
+    },
     TVirtual {
         ty: ConcreteType,
     },
@@ -205,6 +209,19 @@ impl ConcreteTypeStore {
                         })
                         .collect(),
                 },
+                TypeEnum::TModule { module_id, attributes } => ConcreteTypeEnum::TModule {
+                    module_id: *module_id,
+                    methods: attributes
+                        .iter()
+                        .filter_map(|(name, ty)| match &*unifier.get_ty(ty.0) {
+                            TypeEnum::TFunc(..) | TypeEnum::TObj { .. } => None,
+                            _ => Some((
+                                *name,
+                                (self.from_unifier_type(unifier, primitives, ty.0, cache), ty.1),
+                            )),
+                        })
+                        .collect(),
+                },
                 TypeEnum::TVirtual { ty } => ConcreteTypeEnum::TVirtual {
                     ty: self.from_unifier_type(unifier, primitives, *ty, cache),
                 },
@@ -284,6 +301,15 @@ impl ConcreteTypeStore {
                     TypeVar { id, ty }
                 })),
             },
+            ConcreteTypeEnum::TModule { module_id, methods } => TypeEnum::TModule {
+                module_id: *module_id,
+                attributes: methods
+                    .iter()
+                    .map(|(name, cty)| {
+                        (*name, (self.to_unifier_type(unifier, primitives, cty.0, cache), cty.1))
+                    })
+                    .collect::<HashMap<_, _>>(),
+            },
             ConcreteTypeEnum::TFunc { args, ret, vars } => TypeEnum::TFunc(FunSignature {
                 args: args
                     .iter()

nac3core/src/codegen/generator.rs

@@ -1,12 +1,13 @@
 use inkwell::{
     context::Context,
+    targets::TargetMachine,
     types::{BasicTypeEnum, IntType},
     values::{BasicValueEnum, IntValue, PointerValue},
 };
 
 use nac3parser::ast::{Expr, Stmt, StrRef};
 
-use super::{bool_to_i1, bool_to_i8, classes::ArraySliceValue, expr::*, stmt::*, CodeGenContext};
+use super::{bool_to_i1, bool_to_i8, expr::*, stmt::*, values::ArraySliceValue, CodeGenContext};
 use crate::{
     symbol_resolver::ValueEnum,
     toplevel::{DefinitionId, TopLevelDef},
@@ -17,6 +18,10 @@ pub trait CodeGenerator {
     /// Return the module name for the code generator.
     fn get_name(&self) -> &str;
 
+    /// Return an instance of [`IntType`] corresponding to the type of `size_t` for this instance.
+    ///
+    /// Prefer using [`CodeGenContext::get_size_type`] if [`CodeGenContext`] is available, as it is
+    /// equivalent to this function in a more concise syntax.
     fn get_size_type<'ctx>(&self, ctx: &'ctx Context) -> IntType<'ctx>;
 
     /// Generate function call and returns the function return value.
@@ -269,19 +274,27 @@ pub struct DefaultCodeGenerator {
 
 impl DefaultCodeGenerator {
     #[must_use]
-    pub fn new(name: String, size_t: u32) -> DefaultCodeGenerator {
-        assert!(matches!(size_t, 32 | 64));
-        DefaultCodeGenerator { name, size_t }
+    pub fn new(name: String, size_t: IntType<'_>) -> DefaultCodeGenerator {
+        assert!(matches!(size_t.get_bit_width(), 32 | 64));
+        DefaultCodeGenerator { name, size_t: size_t.get_bit_width() }
+    }
+
+    #[must_use]
+    pub fn with_target_machine(
+        name: String,
+        ctx: &Context,
+        target_machine: &TargetMachine,
+    ) -> DefaultCodeGenerator {
+        let llvm_usize = ctx.ptr_sized_int_type(&target_machine.get_target_data(), None);
+        Self::new(name, llvm_usize)
     }
 }
 
 impl CodeGenerator for DefaultCodeGenerator {
-    /// Returns the name for this [`CodeGenerator`].
     fn get_name(&self) -> &str {
         &self.name
     }
 
-    /// Returns an LLVM integer type representing `size_t`.
     fn get_size_type<'ctx>(&self, ctx: &'ctx Context) -> IntType<'ctx> {
         // it should be unsigned, but we don't really need unsigned and this could save us from
         // having to do a bit cast...

nac3core/src/codegen/irrt/list.rs

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

nac3core/src/codegen/irrt/math.rs

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

nac3core/src/codegen/irrt/mod.rs

@@ -3,25 +3,26 @@ use inkwell::{
     context::Context,
     memory_buffer::MemoryBuffer,
     module::Module,
-    types::{BasicTypeEnum, IntType},
-    values::{BasicValue, BasicValueEnum, CallSiteValue, FloatValue, IntValue},
-    AddressSpace, IntPredicate,
+    values::{BasicValue, BasicValueEnum, IntValue},
+    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 super::{CodeGenContext, CodeGenerator};
 use crate::{symbol_resolver::SymbolResolver, typecheck::typedef::Type};
+pub use list::*;
+pub use math::*;
+pub use range::*;
+pub use slice::*;
+pub use string::*;
+
+mod list;
+mod math;
+pub mod ndarray;
+mod range;
+mod slice;
+mod string;
 
 #[must_use]
 pub fn load_irrt<'ctx>(ctx: &'ctx Context, symbol_resolver: &dyn SymbolResolver) -> Module<'ctx> {
@@ -62,86 +63,21 @@ pub fn load_irrt<'ctx>(ctx: &'ctx Context, symbol_resolver: &dyn SymbolResolver)
     irrt_mod
 }
 
-// repeated squaring method adapted from GNU Scientific Library:
-// https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
-pub fn integer_power<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    base: IntValue<'ctx>,
-    exp: IntValue<'ctx>,
-    signed: bool,
-) -> IntValue<'ctx> {
-    let symbol = match (base.get_type().get_bit_width(), exp.get_type().get_bit_width(), signed) {
-        (32, 32, true) => "__nac3_int_exp_int32_t",
-        (64, 64, true) => "__nac3_int_exp_int64_t",
-        (32, 32, false) => "__nac3_int_exp_uint32_t",
-        (64, 64, false) => "__nac3_int_exp_uint64_t",
-        _ => codegen_unreachable!(ctx),
-    };
-    let base_type = base.get_type();
-    let pow_fun = ctx.module.get_function(symbol).unwrap_or_else(|| {
-        let fn_type = base_type.fn_type(&[base_type.into(), base_type.into()], false);
-        ctx.module.add_function(symbol, fn_type, None)
-    });
-    // throw exception when exp < 0
-    let ge_zero = ctx
-        .builder
-        .build_int_compare(
-            IntPredicate::SGE,
-            exp,
-            exp.get_type().const_zero(),
-            "assert_int_pow_ge_0",
-        )
-        .unwrap();
-    ctx.make_assert(
-        generator,
-        ge_zero,
-        "0:ValueError",
-        "integer power must be positive or zero",
-        [None, None, None],
-        ctx.current_loc,
-    );
-    ctx.builder
-        .build_call(pow_fun, &[base.into(), exp.into()], "call_int_pow")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-pub fn calculate_len_for_slice_range<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    start: IntValue<'ctx>,
-    end: IntValue<'ctx>,
-    step: IntValue<'ctx>,
-) -> IntValue<'ctx> {
-    const SYMBOL: &str = "__nac3_range_slice_len";
-    let len_func = ctx.module.get_function(SYMBOL).unwrap_or_else(|| {
-        let i32_t = ctx.ctx.i32_type();
-        let fn_t = i32_t.fn_type(&[i32_t.into(), i32_t.into(), i32_t.into()], false);
-        ctx.module.add_function(SYMBOL, fn_t, None)
-    });
-
-    // assert step != 0, throw exception if not
-    let not_zero = ctx
-        .builder
-        .build_int_compare(IntPredicate::NE, step, step.get_type().const_zero(), "range_step_ne")
-        .unwrap();
-    ctx.make_assert(
-        generator,
-        not_zero,
-        "0:ValueError",
-        "step must not be zero",
-        [None, None, None],
-        ctx.current_loc,
-    );
-    ctx.builder
-        .build_call(len_func, &[start.into(), end.into(), step.into()], "calc_len")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
+/// Returns the name of a function which contains variants for 32-bit and 64-bit `size_t`.
+///
+/// - When [`TypeContext::size_type`] is 32-bits, the function name is `fn_name}`.
+/// - When [`TypeContext::size_type`] is 64-bits, the function name is `{fn_name}64`.
+#[must_use]
+pub fn get_usize_dependent_function_name(ctx: &CodeGenContext<'_, '_>, name: &str) -> String {
+    let mut name = name.to_owned();
+    match ctx.get_size_type().get_bit_width() {
+        32 => {}
+        64 => name.push_str("64"),
+        bit_width => {
+            panic!("Unsupported int type bit width {bit_width}, must be either 32-bits or 64-bits")
+        }
+    }
+    name
 }
 
 /// NOTE: the output value of the end index of this function should be compared ***inclusively***,
@@ -192,10 +128,11 @@ pub fn handle_slice_indices<'ctx, G: CodeGenerator>(
     generator: &mut G,
     length: IntValue<'ctx>,
 ) -> Result<Option<(IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>)>, String> {
-    let int32 = ctx.ctx.i32_type();
-    let zero = int32.const_zero();
-    let one = int32.const_int(1, false);
-    let length = ctx.builder.build_int_truncate_or_bit_cast(length, int32, "leni32").unwrap();
+    let llvm_i32 = ctx.ctx.i32_type();
+
+    let zero = llvm_i32.const_zero();
+    let one = llvm_i32.const_int(1, false);
+    let length = ctx.builder.build_int_truncate_or_bit_cast(length, llvm_i32, "leni32").unwrap();
     Ok(Some(match (start, end, step) {
         (s, e, None) => (
             if let Some(s) = s.as_ref() {
@@ -204,7 +141,7 @@ pub fn handle_slice_indices<'ctx, G: CodeGenerator>(
                     None => return Ok(None),
                 }
             } else {
-                int32.const_zero()
+                llvm_i32.const_zero()
             },
             {
                 let e = if let Some(s) = e.as_ref() {
@@ -309,644 +246,3 @@ pub fn handle_slice_indices<'ctx, G: CodeGenerator>(
         }
     }))
 }
-
-/// this function allows index out of range, since python
-/// allows index out of range in slice (`a = [1,2,3]; a[1:10] == [2,3]`).
-pub fn handle_slice_index_bound<'ctx, G: CodeGenerator>(
-    i: &Expr<Option<Type>>,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    generator: &mut G,
-    length: IntValue<'ctx>,
-) -> Result<Option<IntValue<'ctx>>, String> {
-    const SYMBOL: &str = "__nac3_slice_index_bound";
-    let func = ctx.module.get_function(SYMBOL).unwrap_or_else(|| {
-        let i32_t = ctx.ctx.i32_type();
-        let fn_t = i32_t.fn_type(&[i32_t.into(), i32_t.into()], false);
-        ctx.module.add_function(SYMBOL, fn_t, None)
-    });
-
-    let i = if let Some(v) = generator.gen_expr(ctx, i)? {
-        v.to_basic_value_enum(ctx, generator, i.custom.unwrap())?
-    } else {
-        return Ok(None);
-    };
-    Ok(Some(
-        ctx.builder
-            .build_call(func, &[i.into(), length.into()], "bounded_ind")
-            .map(CallSiteValue::try_as_basic_value)
-            .map(|v| v.map_left(BasicValueEnum::into_int_value))
-            .map(Either::unwrap_left)
-            .unwrap(),
-    ))
-}
-
-/// This function handles 'end' **inclusively**.
-/// Order of tuples `assign_idx` and `value_idx` is ('start', 'end', 'step').
-/// Negative index should be handled before entering this function
-pub fn list_slice_assignment<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    ty: BasicTypeEnum<'ctx>,
-    dest_arr: ListValue<'ctx>,
-    dest_idx: (IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>),
-    src_arr: ListValue<'ctx>,
-    src_idx: (IntValue<'ctx>, IntValue<'ctx>, IntValue<'ctx>),
-) {
-    let size_ty = generator.get_size_type(ctx.ctx);
-    let int8_ptr = ctx.ctx.i8_type().ptr_type(AddressSpace::default());
-    let int32 = ctx.ctx.i32_type();
-    let (fun_symbol, elem_ptr_type) = ("__nac3_list_slice_assign_var_size", int8_ptr);
-    let slice_assign_fun = {
-        let ty_vec = vec![
-            int32.into(),         // dest start idx
-            int32.into(),         // dest end idx
-            int32.into(),         // dest step
-            elem_ptr_type.into(), // dest arr ptr
-            int32.into(),         // dest arr len
-            int32.into(),         // src start idx
-            int32.into(),         // src end idx
-            int32.into(),         // src step
-            elem_ptr_type.into(), // src arr ptr
-            int32.into(),         // src arr len
-            int32.into(),         // size
-        ];
-        ctx.module.get_function(fun_symbol).unwrap_or_else(|| {
-            let fn_t = int32.fn_type(ty_vec.as_slice(), false);
-            ctx.module.add_function(fun_symbol, fn_t, None)
-        })
-    };
-
-    let zero = int32.const_zero();
-    let one = int32.const_int(1, false);
-    let dest_arr_ptr = dest_arr.data().base_ptr(ctx, generator);
-    let dest_arr_ptr =
-        ctx.builder.build_pointer_cast(dest_arr_ptr, elem_ptr_type, "dest_arr_ptr_cast").unwrap();
-    let dest_len = dest_arr.load_size(ctx, Some("dest.len"));
-    let dest_len = ctx.builder.build_int_truncate_or_bit_cast(dest_len, int32, "srclen32").unwrap();
-    let src_arr_ptr = src_arr.data().base_ptr(ctx, generator);
-    let src_arr_ptr =
-        ctx.builder.build_pointer_cast(src_arr_ptr, elem_ptr_type, "src_arr_ptr_cast").unwrap();
-    let src_len = src_arr.load_size(ctx, Some("src.len"));
-    let src_len = ctx.builder.build_int_truncate_or_bit_cast(src_len, int32, "srclen32").unwrap();
-
-    // index in bound and positive should be done
-    // assert if dest.step == 1 then len(src) <= len(dest) else len(src) == len(dest), and
-    // throw exception if not satisfied
-    let src_end = ctx
-        .builder
-        .build_select(
-            ctx.builder.build_int_compare(IntPredicate::SLT, src_idx.2, zero, "is_neg").unwrap(),
-            ctx.builder.build_int_sub(src_idx.1, one, "e_min_one").unwrap(),
-            ctx.builder.build_int_add(src_idx.1, one, "e_add_one").unwrap(),
-            "final_e",
-        )
-        .map(BasicValueEnum::into_int_value)
-        .unwrap();
-    let dest_end = ctx
-        .builder
-        .build_select(
-            ctx.builder.build_int_compare(IntPredicate::SLT, dest_idx.2, zero, "is_neg").unwrap(),
-            ctx.builder.build_int_sub(dest_idx.1, one, "e_min_one").unwrap(),
-            ctx.builder.build_int_add(dest_idx.1, one, "e_add_one").unwrap(),
-            "final_e",
-        )
-        .map(BasicValueEnum::into_int_value)
-        .unwrap();
-    let src_slice_len =
-        calculate_len_for_slice_range(generator, ctx, src_idx.0, src_end, src_idx.2);
-    let dest_slice_len =
-        calculate_len_for_slice_range(generator, ctx, dest_idx.0, dest_end, dest_idx.2);
-    let src_eq_dest = ctx
-        .builder
-        .build_int_compare(IntPredicate::EQ, src_slice_len, dest_slice_len, "slice_src_eq_dest")
-        .unwrap();
-    let src_slt_dest = ctx
-        .builder
-        .build_int_compare(IntPredicate::SLT, src_slice_len, dest_slice_len, "slice_src_slt_dest")
-        .unwrap();
-    let dest_step_eq_one = ctx
-        .builder
-        .build_int_compare(
-            IntPredicate::EQ,
-            dest_idx.2,
-            dest_idx.2.get_type().const_int(1, false),
-            "slice_dest_step_eq_one",
-        )
-        .unwrap();
-    let cond_1 = ctx.builder.build_and(dest_step_eq_one, src_slt_dest, "slice_cond_1").unwrap();
-    let cond = ctx.builder.build_or(src_eq_dest, cond_1, "slice_cond").unwrap();
-    ctx.make_assert(
-        generator,
-        cond,
-        "0:ValueError",
-        "attempt to assign sequence of size {0} to slice of size {1} with step size {2}",
-        [Some(src_slice_len), Some(dest_slice_len), Some(dest_idx.2)],
-        ctx.current_loc,
-    );
-
-    let new_len = {
-        let args = vec![
-            dest_idx.0.into(),   // dest start idx
-            dest_idx.1.into(),   // dest end idx
-            dest_idx.2.into(),   // dest step
-            dest_arr_ptr.into(), // dest arr ptr
-            dest_len.into(),     // dest arr len
-            src_idx.0.into(),    // src start idx
-            src_idx.1.into(),    // src end idx
-            src_idx.2.into(),    // src step
-            src_arr_ptr.into(),  // src arr ptr
-            src_len.into(),      // src arr len
-            {
-                let s = match ty {
-                    BasicTypeEnum::FloatType(t) => t.size_of(),
-                    BasicTypeEnum::IntType(t) => t.size_of(),
-                    BasicTypeEnum::PointerType(t) => t.size_of(),
-                    BasicTypeEnum::StructType(t) => t.size_of().unwrap(),
-                    _ => codegen_unreachable!(ctx),
-                };
-                ctx.builder.build_int_truncate_or_bit_cast(s, int32, "size").unwrap()
-            }
-            .into(),
-        ];
-        ctx.builder
-            .build_call(slice_assign_fun, args.as_slice(), "slice_assign")
-            .map(CallSiteValue::try_as_basic_value)
-            .map(|v| v.map_left(BasicValueEnum::into_int_value))
-            .map(Either::unwrap_left)
-            .unwrap()
-    };
-    // update length
-    let need_update =
-        ctx.builder.build_int_compare(IntPredicate::NE, new_len, dest_len, "need_update").unwrap();
-    let current = ctx.builder.get_insert_block().unwrap().get_parent().unwrap();
-    let update_bb = ctx.ctx.append_basic_block(current, "update");
-    let cont_bb = ctx.ctx.append_basic_block(current, "cont");
-    ctx.builder.build_conditional_branch(need_update, update_bb, cont_bb).unwrap();
-    ctx.builder.position_at_end(update_bb);
-    let new_len = ctx.builder.build_int_z_extend_or_bit_cast(new_len, size_ty, "new_len").unwrap();
-    dest_arr.store_size(ctx, generator, new_len);
-    ctx.builder.build_unconditional_branch(cont_bb).unwrap();
-    ctx.builder.position_at_end(cont_bb);
-}
-
-/// Generates a call to `isinf` in IR. Returns an `i1` representing the result.
-pub fn call_isinf<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &CodeGenContext<'ctx, '_>,
-    v: FloatValue<'ctx>,
-) -> IntValue<'ctx> {
-    let intrinsic_fn = ctx.module.get_function("__nac3_isinf").unwrap_or_else(|| {
-        let fn_type = ctx.ctx.i32_type().fn_type(&[ctx.ctx.f64_type().into()], false);
-        ctx.module.add_function("__nac3_isinf", fn_type, None)
-    });
-
-    let ret = ctx
-        .builder
-        .build_call(intrinsic_fn, &[v.into()], "isinf")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap();
-
-    generator.bool_to_i1(ctx, ret)
-}
-
-/// Generates a call to `isnan` in IR. Returns an `i1` representing the result.
-pub fn call_isnan<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &CodeGenContext<'ctx, '_>,
-    v: FloatValue<'ctx>,
-) -> IntValue<'ctx> {
-    let intrinsic_fn = ctx.module.get_function("__nac3_isnan").unwrap_or_else(|| {
-        let fn_type = ctx.ctx.i32_type().fn_type(&[ctx.ctx.f64_type().into()], false);
-        ctx.module.add_function("__nac3_isnan", fn_type, None)
-    });
-
-    let ret = ctx
-        .builder
-        .build_call(intrinsic_fn, &[v.into()], "isnan")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap();
-
-    generator.bool_to_i1(ctx, ret)
-}
-
-/// Generates a call to `gamma` in IR. Returns an `f64` representing the result.
-pub fn call_gamma<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> FloatValue<'ctx> {
-    let llvm_f64 = ctx.ctx.f64_type();
-
-    let intrinsic_fn = ctx.module.get_function("__nac3_gamma").unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        ctx.module.add_function("__nac3_gamma", fn_type, None)
-    });
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[v.into()], "gamma")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Generates a call to `gammaln` in IR. Returns an `f64` representing the result.
-pub fn call_gammaln<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> FloatValue<'ctx> {
-    let llvm_f64 = ctx.ctx.f64_type();
-
-    let intrinsic_fn = ctx.module.get_function("__nac3_gammaln").unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        ctx.module.add_function("__nac3_gammaln", fn_type, None)
-    });
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[v.into()], "gammaln")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Generates a call to `j0` in IR. Returns an `f64` representing the result.
-pub fn call_j0<'ctx>(ctx: &CodeGenContext<'ctx, '_>, v: FloatValue<'ctx>) -> FloatValue<'ctx> {
-    let llvm_f64 = ctx.ctx.f64_type();
-
-    let intrinsic_fn = ctx.module.get_function("__nac3_j0").unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        ctx.module.add_function("__nac3_j0", fn_type, None)
-    });
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[v.into()], "j0")
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Generates a call to `__nac3_ndarray_calc_size`. Returns an [`IntValue`] representing the
-/// calculated total size.
-///
-/// * `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.
-pub fn call_ndarray_calc_size<'ctx, G, Dims>(
-    generator: &G,
-    ctx: &CodeGenContext<'ctx, '_>,
-    dims: &Dims,
-    (begin, end): (Option<IntValue<'ctx>>, Option<IntValue<'ctx>>),
-) -> IntValue<'ctx>
-where
-    G: CodeGenerator + ?Sized,
-    Dims: ArrayLikeIndexer<'ctx>,
-{
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-    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 => codegen_unreachable!(ctx, "Unsupported size type bit width: {}", bw),
-    };
-    let ndarray_calc_size_fn_t = llvm_usize.fn_type(
-        &[llvm_pusize.into(), llvm_usize.into(), llvm_usize.into(), llvm_usize.into()],
-        false,
-    );
-    let ndarray_calc_size_fn =
-        ctx.module.get_function(ndarray_calc_size_fn_name).unwrap_or_else(|| {
-            ctx.module.add_function(ndarray_calc_size_fn_name, ndarray_calc_size_fn_t, None)
-        });
-
-    let begin = begin.unwrap_or_else(|| llvm_usize.const_zero());
-    let end = end.unwrap_or_else(|| dims.size(ctx, generator));
-    ctx.builder
-        .build_call(
-            ndarray_calc_size_fn,
-            &[
-                dims.base_ptr(ctx, generator).into(),
-                dims.size(ctx, generator).into(),
-                begin.into(),
-                end.into(),
-            ],
-            "",
-        )
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Generates a call to `__nac3_ndarray_calc_nd_indices`. Returns a [`TypeArrayLikeAdpater`]
-/// containing `i32` indices of the flattened index.
-///
-/// * `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`.
-pub fn call_ndarray_calc_nd_indices<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    index: IntValue<'ctx>,
-    ndarray: NDArrayValue<'ctx>,
-) -> TypedArrayLikeAdapter<'ctx, IntValue<'ctx>> {
-    let llvm_void = ctx.ctx.void_type();
-    let llvm_i32 = ctx.ctx.i32_type();
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-    let llvm_pi32 = llvm_i32.ptr_type(AddressSpace::default());
-    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
-
-    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 => 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(|| {
-            let fn_type = llvm_void.fn_type(
-                &[llvm_usize.into(), llvm_pusize.into(), llvm_usize.into(), llvm_pi32.into()],
-                false,
-            );
-
-            ctx.module.add_function(ndarray_calc_nd_indices_fn_name, fn_type, None)
-        });
-
-    let ndarray_num_dims = ndarray.load_ndims(ctx);
-    let ndarray_dims = ndarray.dim_sizes();
-
-    let indices = ctx.builder.build_array_alloca(llvm_i32, ndarray_num_dims, "").unwrap();
-
-    ctx.builder
-        .build_call(
-            ndarray_calc_nd_indices_fn,
-            &[
-                index.into(),
-                ndarray_dims.base_ptr(ctx, generator).into(),
-                ndarray_num_dims.into(),
-                indices.into(),
-            ],
-            "",
-        )
-        .unwrap();
-
-    TypedArrayLikeAdapter::from(
-        ArraySliceValue::from_ptr_val(indices, ndarray_num_dims, None),
-        Box::new(|_, v| v.into_int_value()),
-        Box::new(|_, v| v.into()),
-    )
-}
-
-fn call_ndarray_flatten_index_impl<'ctx, G, Indices>(
-    generator: &G,
-    ctx: &CodeGenContext<'ctx, '_>,
-    ndarray: NDArrayValue<'ctx>,
-    indices: &Indices,
-) -> IntValue<'ctx>
-where
-    G: CodeGenerator + ?Sized,
-    Indices: ArrayLikeIndexer<'ctx>,
-{
-    let llvm_i32 = ctx.ctx.i32_type();
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-
-    let llvm_pi32 = llvm_i32.ptr_type(AddressSpace::default());
-    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
-
-    debug_assert_eq!(
-        IntType::try_from(indices.element_type(ctx, generator))
-            .map(IntType::get_bit_width)
-            .unwrap_or_default(),
-        llvm_i32.get_bit_width(),
-        "Expected i32 value for argument `indices` to `call_ndarray_flatten_index_impl`"
-    );
-    debug_assert_eq!(
-        indices.size(ctx, generator).get_type().get_bit_width(),
-        llvm_usize.get_bit_width(),
-        "Expected usize integer value for argument `indices_size` to `call_ndarray_flatten_index_impl`"
-    );
-
-    let ndarray_flatten_index_fn_name = match llvm_usize.get_bit_width() {
-        32 => "__nac3_ndarray_flatten_index",
-        64 => "__nac3_ndarray_flatten_index64",
-        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(|| {
-            let fn_type = llvm_usize.fn_type(
-                &[llvm_pusize.into(), llvm_usize.into(), llvm_pi32.into(), llvm_usize.into()],
-                false,
-            );
-
-            ctx.module.add_function(ndarray_flatten_index_fn_name, fn_type, None)
-        });
-
-    let ndarray_num_dims = ndarray.load_ndims(ctx);
-    let ndarray_dims = ndarray.dim_sizes();
-
-    let index = ctx
-        .builder
-        .build_call(
-            ndarray_flatten_index_fn,
-            &[
-                ndarray_dims.base_ptr(ctx, generator).into(),
-                ndarray_num_dims.into(),
-                indices.base_ptr(ctx, generator).into(),
-                indices.size(ctx, generator).into(),
-            ],
-            "",
-        )
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap();
-
-    index
-}
-
-/// Generates a call to `__nac3_ndarray_flatten_index`. Returns the flattened index for the
-/// multidimensional index.
-///
-/// * `ndarray` - LLVM pointer to the `NDArray`. This value must be the LLVM representation of an
-///   `NDArray`.
-/// * `indices` - The multidimensional index to compute the flattened index for.
-pub fn call_ndarray_flatten_index<'ctx, G, Index>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    ndarray: NDArrayValue<'ctx>,
-    indices: &Index,
-) -> IntValue<'ctx>
-where
-    G: CodeGenerator + ?Sized,
-    Index: ArrayLikeIndexer<'ctx>,
-{
-    call_ndarray_flatten_index_impl(generator, ctx, ndarray, indices)
-}
-
-/// Generates a call to `__nac3_ndarray_calc_broadcast`. Returns a tuple containing the number of
-/// dimension and size of each dimension of the resultant `ndarray`.
-pub fn call_ndarray_calc_broadcast<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    lhs: NDArrayValue<'ctx>,
-    rhs: NDArrayValue<'ctx>,
-) -> TypedArrayLikeAdapter<'ctx, IntValue<'ctx>> {
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
-
-    let ndarray_calc_broadcast_fn_name = match llvm_usize.get_bit_width() {
-        32 => "__nac3_ndarray_calc_broadcast",
-        64 => "__nac3_ndarray_calc_broadcast64",
-        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(|| {
-            let fn_type = llvm_usize.fn_type(
-                &[
-                    llvm_pusize.into(),
-                    llvm_usize.into(),
-                    llvm_pusize.into(),
-                    llvm_usize.into(),
-                    llvm_pusize.into(),
-                ],
-                false,
-            );
-
-            ctx.module.add_function(ndarray_calc_broadcast_fn_name, fn_type, None)
-        });
-
-    let lhs_ndims = lhs.load_ndims(ctx);
-    let rhs_ndims = rhs.load_ndims(ctx);
-    let min_ndims = llvm_intrinsics::call_int_umin(ctx, lhs_ndims, rhs_ndims, None);
-
-    gen_for_callback_incrementing(
-        generator,
-        ctx,
-        None,
-        llvm_usize.const_zero(),
-        (min_ndims, false),
-        |generator, ctx, _, idx| {
-            let idx = ctx.builder.build_int_sub(min_ndims, idx, "").unwrap();
-            let (lhs_dim_sz, rhs_dim_sz) = unsafe {
-                (
-                    lhs.dim_sizes().get_typed_unchecked(ctx, generator, &idx, None),
-                    rhs.dim_sizes().get_typed_unchecked(ctx, generator, &idx, None),
-                )
-            };
-
-            let llvm_usize_const_one = llvm_usize.const_int(1, false);
-            let lhs_eqz = ctx
-                .builder
-                .build_int_compare(IntPredicate::EQ, lhs_dim_sz, llvm_usize_const_one, "")
-                .unwrap();
-            let rhs_eqz = ctx
-                .builder
-                .build_int_compare(IntPredicate::EQ, rhs_dim_sz, llvm_usize_const_one, "")
-                .unwrap();
-            let lhs_or_rhs_eqz = ctx.builder.build_or(lhs_eqz, rhs_eqz, "").unwrap();
-
-            let lhs_eq_rhs = ctx
-                .builder
-                .build_int_compare(IntPredicate::EQ, lhs_dim_sz, rhs_dim_sz, "")
-                .unwrap();
-
-            let is_compatible = ctx.builder.build_or(lhs_or_rhs_eqz, lhs_eq_rhs, "").unwrap();
-
-            ctx.make_assert(
-                generator,
-                is_compatible,
-                "0:ValueError",
-                "operands could not be broadcast together",
-                [None, None, None],
-                ctx.current_loc,
-            );
-
-            Ok(())
-        },
-        llvm_usize.const_int(1, false),
-    )
-    .unwrap();
-
-    let max_ndims = llvm_intrinsics::call_int_umax(ctx, lhs_ndims, rhs_ndims, None);
-    let lhs_dims = lhs.dim_sizes().base_ptr(ctx, generator);
-    let lhs_ndims = lhs.load_ndims(ctx);
-    let rhs_dims = rhs.dim_sizes().base_ptr(ctx, generator);
-    let rhs_ndims = rhs.load_ndims(ctx);
-    let out_dims = ctx.builder.build_array_alloca(llvm_usize, max_ndims, "").unwrap();
-    let out_dims = ArraySliceValue::from_ptr_val(out_dims, max_ndims, None);
-
-    ctx.builder
-        .build_call(
-            ndarray_calc_broadcast_fn,
-            &[
-                lhs_dims.into(),
-                lhs_ndims.into(),
-                rhs_dims.into(),
-                rhs_ndims.into(),
-                out_dims.base_ptr(ctx, generator).into(),
-            ],
-            "",
-        )
-        .unwrap();
-
-    TypedArrayLikeAdapter::from(
-        out_dims,
-        Box::new(|_, v| v.into_int_value()),
-        Box::new(|_, v| v.into()),
-    )
-}
-
-/// Generates a call to `__nac3_ndarray_calc_broadcast_idx`. Returns an [`ArrayAllocaValue`]
-/// containing the indices used for accessing `array` corresponding to the index of the broadcasted
-/// array `broadcast_idx`.
-pub fn call_ndarray_calc_broadcast_index<
-    'ctx,
-    G: CodeGenerator + ?Sized,
-    BroadcastIdx: UntypedArrayLikeAccessor<'ctx>,
->(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    array: NDArrayValue<'ctx>,
-    broadcast_idx: &BroadcastIdx,
-) -> TypedArrayLikeAdapter<'ctx, IntValue<'ctx>> {
-    let llvm_i32 = ctx.ctx.i32_type();
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-    let llvm_pi32 = llvm_i32.ptr_type(AddressSpace::default());
-    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
-
-    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 => 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(|| {
-            let fn_type = llvm_usize.fn_type(
-                &[llvm_pusize.into(), llvm_usize.into(), llvm_pi32.into(), llvm_pi32.into()],
-                false,
-            );
-
-            ctx.module.add_function(ndarray_calc_broadcast_fn_name, fn_type, None)
-        });
-
-    let broadcast_size = broadcast_idx.size(ctx, generator);
-    let out_idx = ctx.builder.build_array_alloca(llvm_i32, broadcast_size, "").unwrap();
-
-    let array_dims = array.dim_sizes().base_ptr(ctx, generator);
-    let array_ndims = array.load_ndims(ctx);
-    let broadcast_idx_ptr = unsafe {
-        broadcast_idx.ptr_offset_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
-    };
-
-    ctx.builder
-        .build_call(
-            ndarray_calc_broadcast_fn,
-            &[array_dims.into(), array_ndims.into(), broadcast_idx_ptr.into(), out_idx.into()],
-            "",
-        )
-        .unwrap();
-
-    TypedArrayLikeAdapter::from(
-        ArraySliceValue::from_ptr_val(out_idx, broadcast_size, None),
-        Box::new(|_, v| v.into_int_value()),
-        Box::new(|_, v| v.into()),
-    )
-}

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

@@ -0,0 +1,72 @@
+use inkwell::{types::BasicTypeEnum, values::IntValue};
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    values::{ndarray::NDArrayValue, ListValue, ProxyValue, TypedArrayLikeAccessor},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_array_set_and_validate_list_shape`.
+///
+/// Deduces the target shape of the `ndarray` from the provided `list`, raising an exception if
+/// there is any issue with the resultant `shape`.
+///
+/// `shape` must be pre-allocated by the caller of this function to `[usize; ndims]`, and must be
+/// initialized to all `-1`s.
+pub fn call_nac3_ndarray_array_set_and_validate_list_shape<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    list: ListValue<'ctx>,
+    ndims: IntValue<'ctx>,
+    shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = ctx.get_size_type();
+    assert_eq!(list.get_type().element_type().unwrap(), ctx.ctx.i8_type().into());
+    assert_eq!(ndims.get_type(), llvm_usize);
+    assert_eq!(
+        BasicTypeEnum::try_from(shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name =
+        get_usize_dependent_function_name(ctx, "__nac3_ndarray_array_set_and_validate_list_shape");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[list.as_abi_value(ctx).into(), ndims.into(), shape.base_ptr(ctx, generator).into()],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_array_write_list_to_array`.
+///
+/// Copies the contents stored in `list` into `ndarray`.
+///
+/// The `ndarray` must fulfill the following preconditions:
+///
+/// - `ndarray.itemsize`: Must be initialized.
+/// - `ndarray.ndims`: Must be initialized.
+/// - `ndarray.shape`: Must be initialized.
+/// - `ndarray.data`: Must be allocated and contiguous.
+pub fn call_nac3_ndarray_array_write_list_to_array<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    list: ListValue<'ctx>,
+    ndarray: NDArrayValue<'ctx>,
+) {
+    assert_eq!(list.get_type().element_type().unwrap(), ctx.ctx.i8_type().into());
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_array_write_list_to_array");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[list.as_abi_value(ctx).into(), ndarray.as_abi_value(ctx).into()],
+        None,
+        None,
+    );
+}

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

@@ -0,0 +1,298 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, IntValue, PointerValue},
+    AddressSpace,
+};
+
+use crate::codegen::{
+    expr::{create_and_call_function, infer_and_call_function},
+    irrt::get_usize_dependent_function_name,
+    types::ProxyType,
+    values::{ndarray::NDArrayValue, ProxyValue, TypedArrayLikeAccessor},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_util_assert_shape_no_negative`.
+///
+/// Assets that `shape` does not contain negative dimensions.
+pub fn call_nac3_ndarray_util_assert_shape_no_negative<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = ctx.get_size_type();
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+
+    assert_eq!(
+        BasicTypeEnum::try_from(shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name =
+        get_usize_dependent_function_name(ctx, "__nac3_ndarray_util_assert_shape_no_negative");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[
+            (llvm_usize.into(), shape.size(ctx, generator).into()),
+            (llvm_pusize.into(), shape.base_ptr(ctx, generator).into()),
+        ],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_util_assert_shape_output_shape_same`.
+///
+/// Asserts that `ndarray_shape` and `output_shape` are the same in the context of writing output to
+/// an `ndarray`.
+pub fn call_nac3_ndarray_util_assert_output_shape_same<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    output_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = ctx.get_size_type();
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+
+    assert_eq!(
+        BasicTypeEnum::try_from(ndarray_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(output_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name =
+        get_usize_dependent_function_name(ctx, "__nac3_ndarray_util_assert_output_shape_same");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[
+            (llvm_usize.into(), ndarray_shape.size(ctx, generator).into()),
+            (llvm_pusize.into(), ndarray_shape.base_ptr(ctx, generator).into()),
+            (llvm_usize.into(), output_shape.size(ctx, generator).into()),
+            (llvm_pusize.into(), output_shape.base_ptr(ctx, generator).into()),
+        ],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_size`.
+///
+/// Returns a [`usize`][CodeGenerator::get_size_type] value of the number of elements of an
+/// `ndarray`, corresponding to the value of `ndarray.size`.
+pub fn call_nac3_ndarray_size<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_usize = ctx.get_size_type();
+    let llvm_ndarray = ndarray.get_type();
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_size");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[(llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into())],
+        Some("size"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_nbytes`.
+///
+/// Returns a [`usize`][CodeGenerator::get_size_type] value of the number of bytes consumed by the
+/// data of the `ndarray`, corresponding to the value of `ndarray.nbytes`.
+pub fn call_nac3_ndarray_nbytes<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_usize = ctx.get_size_type();
+    let llvm_ndarray = ndarray.get_type();
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_nbytes");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[(llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into())],
+        Some("nbytes"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_len`.
+///
+/// Returns a [`usize`][CodeGenerator::get_size_type] value of the size of the topmost dimension of
+/// the `ndarray`, corresponding to the value of `ndarray.__len__`.
+pub fn call_nac3_ndarray_len<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_usize = ctx.get_size_type();
+    let llvm_ndarray = ndarray.get_type();
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_len");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_usize.into()),
+        &[(llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into())],
+        Some("len"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_is_c_contiguous`.
+///
+/// Returns an `i1` value indicating whether the `ndarray` is C-contiguous.
+pub fn call_nac3_ndarray_is_c_contiguous<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_i1 = ctx.ctx.bool_type();
+    let llvm_ndarray = ndarray.get_type();
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_is_c_contiguous");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_i1.into()),
+        &[(llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into())],
+        Some("is_c_contiguous"),
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_get_nth_pelement`.
+///
+/// Returns a [`PointerValue`] to the `index`-th flattened element of the `ndarray`.
+pub fn call_nac3_ndarray_get_nth_pelement<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+    index: IntValue<'ctx>,
+) -> PointerValue<'ctx> {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_usize = ctx.get_size_type();
+    let llvm_ndarray = ndarray.get_type();
+
+    assert_eq!(index.get_type(), llvm_usize);
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_get_nth_pelement");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_pi8.into()),
+        &[
+            (llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into()),
+            (llvm_usize.into(), index.into()),
+        ],
+        Some("pelement"),
+        None,
+    )
+    .map(BasicValueEnum::into_pointer_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_get_pelement_by_indices`.
+///
+/// `indices` must have the same number of elements as the number of dimensions in `ndarray`.
+///
+/// Returns a [`PointerValue`] to the element indexed by `indices`.
+pub fn call_nac3_ndarray_get_pelement_by_indices<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+    indices: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) -> PointerValue<'ctx> {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_usize = ctx.get_size_type();
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+    let llvm_ndarray = ndarray.get_type();
+
+    assert_eq!(
+        BasicTypeEnum::try_from(indices.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_get_pelement_by_indices");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        Some(llvm_pi8.into()),
+        &[
+            (llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into()),
+            (llvm_pusize.into(), indices.base_ptr(ctx, generator).into()),
+        ],
+        Some("pelement"),
+        None,
+    )
+    .map(BasicValueEnum::into_pointer_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_ndarray_set_strides_by_shape`.
+///
+/// Sets `ndarray.strides` assuming that `ndarray.shape` is C-contiguous.
+pub fn call_nac3_ndarray_set_strides_by_shape<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    ndarray: NDArrayValue<'ctx>,
+) {
+    let llvm_ndarray = ndarray.get_type();
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_set_strides_by_shape");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[(llvm_ndarray.as_abi_type().into(), ndarray.as_abi_value(ctx).into())],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_copy_data`.
+///
+/// Copies all elements from `src_ndarray` to `dst_ndarray` using their flattened views. The number
+/// of elements in `src_ndarray` must be greater than or equal to the number of elements in
+/// `dst_ndarray`.
+pub fn call_nac3_ndarray_copy_data<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    src_ndarray: NDArrayValue<'ctx>,
+    dst_ndarray: NDArrayValue<'ctx>,
+) {
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_copy_data");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[src_ndarray.as_abi_value(ctx).into(), dst_ndarray.as_abi_value(ctx).into()],
+        None,
+        None,
+    );
+}

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

@@ -0,0 +1,80 @@
+use inkwell::values::IntValue;
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    types::{ndarray::ShapeEntryType, ProxyType},
+    values::{
+        ndarray::NDArrayValue, ArrayLikeValue, ArraySliceValue, ProxyValue, TypedArrayLikeAccessor,
+        TypedArrayLikeMutator,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_broadcast_to`.
+///
+/// Attempts to broadcast `src_ndarray` to the new shape defined by `dst_ndarray`.
+///
+/// `dst_ndarray` must meet the following preconditions:
+///
+/// - `dst_ndarray.ndims` must be initialized and matching the length of `dst_ndarray.shape`.
+/// - `dst_ndarray.shape` must be initialized and contains the target broadcast shape.
+/// - `dst_ndarray.strides` must be allocated and may contain uninitialized values.
+pub fn call_nac3_ndarray_broadcast_to<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    src_ndarray: NDArrayValue<'ctx>,
+    dst_ndarray: NDArrayValue<'ctx>,
+) {
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_broadcast_to");
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[src_ndarray.as_abi_value(ctx).into(), dst_ndarray.as_abi_value(ctx).into()],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_ndarray_broadcast_shapes`.
+///
+/// Attempts to calculate the resultant shape from broadcasting all shapes in `shape_entries`,
+/// writing the result to `dst_shape`.
+pub fn call_nac3_ndarray_broadcast_shapes<'ctx, G, Shape>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    num_shape_entries: IntValue<'ctx>,
+    shape_entries: ArraySliceValue<'ctx>,
+    dst_ndims: IntValue<'ctx>,
+    dst_shape: &Shape,
+) where
+    G: CodeGenerator + ?Sized,
+    Shape: TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>
+        + TypedArrayLikeMutator<'ctx, G, IntValue<'ctx>>,
+{
+    let llvm_usize = ctx.get_size_type();
+
+    assert_eq!(num_shape_entries.get_type(), llvm_usize);
+    assert!(ShapeEntryType::is_representable(
+        shape_entries.base_ptr(ctx, generator).get_type(),
+        llvm_usize,
+    )
+    .is_ok());
+    assert_eq!(dst_ndims.get_type(), llvm_usize);
+    assert_eq!(dst_shape.element_type(ctx, generator), llvm_usize.into());
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_broadcast_shapes");
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            num_shape_entries.into(),
+            shape_entries.base_ptr(ctx, generator).into(),
+            dst_ndims.into(),
+            dst_shape.base_ptr(ctx, generator).into(),
+        ],
+        None,
+        None,
+    );
+}

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

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

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

@@ -0,0 +1,81 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, IntValue},
+    AddressSpace,
+};
+
+use crate::codegen::{
+    expr::{create_and_call_function, infer_and_call_function},
+    irrt::get_usize_dependent_function_name,
+    types::ProxyType,
+    values::{
+        ndarray::{NDArrayValue, NDIterValue},
+        ProxyValue, TypedArrayLikeAccessor,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_nditer_initialize`.
+///
+/// Initializes the `iter` object.
+pub fn call_nac3_nditer_initialize<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    iter: NDIterValue<'ctx>,
+    ndarray: NDArrayValue<'ctx>,
+    indices: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = ctx.get_size_type();
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
+
+    assert_eq!(
+        BasicTypeEnum::try_from(indices.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_nditer_initialize");
+
+    create_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            (iter.get_type().as_abi_type().into(), iter.as_abi_value(ctx).into()),
+            (ndarray.get_type().as_abi_type().into(), ndarray.as_abi_value(ctx).into()),
+            (llvm_pusize.into(), indices.base_ptr(ctx, generator).into()),
+        ],
+        None,
+        None,
+    );
+}
+
+/// Generates a call to `__nac3_nditer_initialize_has_element`.
+///
+/// Returns an `i1` value indicating whether there are elements left to traverse for the `iter`
+/// object.
+pub fn call_nac3_nditer_has_element<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    iter: NDIterValue<'ctx>,
+) -> IntValue<'ctx> {
+    let name = get_usize_dependent_function_name(ctx, "__nac3_nditer_has_element");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        Some(ctx.ctx.bool_type().into()),
+        &[iter.as_abi_value(ctx).into()],
+        None,
+        None,
+    )
+    .map(BasicValueEnum::into_int_value)
+    .unwrap()
+}
+
+/// Generates a call to `__nac3_nditer_next`.
+///
+/// Moves `iter` to point to the next element.
+pub fn call_nac3_nditer_next<'ctx>(ctx: &CodeGenContext<'ctx, '_>, iter: NDIterValue<'ctx>) {
+    let name = get_usize_dependent_function_name(ctx, "__nac3_nditer_next");
+
+    infer_and_call_function(ctx, &name, None, &[iter.as_abi_value(ctx).into()], None, None);
+}

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

@@ -0,0 +1,65 @@
+use inkwell::{types::BasicTypeEnum, values::IntValue};
+
+use crate::codegen::{
+    expr::infer_and_call_function, irrt::get_usize_dependent_function_name,
+    values::TypedArrayLikeAccessor, CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_matmul_calculate_shapes`.
+///
+/// Calculates the broadcasted shapes for `a`, `b`, and the `ndarray` holding the final values of
+/// `a @ b`.
+#[allow(clippy::too_many_arguments)]
+pub fn call_nac3_ndarray_matmul_calculate_shapes<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    a_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    b_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    final_ndims: IntValue<'ctx>,
+    new_a_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    new_b_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    dst_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+) {
+    let llvm_usize = ctx.get_size_type();
+
+    assert_eq!(
+        BasicTypeEnum::try_from(a_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(b_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(new_a_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(new_b_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+    assert_eq!(
+        BasicTypeEnum::try_from(dst_shape.element_type(ctx, generator)).unwrap(),
+        llvm_usize.into()
+    );
+
+    let name = get_usize_dependent_function_name(ctx, "__nac3_ndarray_matmul_calculate_shapes");
+
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[
+            a_shape.size(ctx, generator).into(),
+            a_shape.base_ptr(ctx, generator).into(),
+            b_shape.size(ctx, generator).into(),
+            b_shape.base_ptr(ctx, generator).into(),
+            final_ndims.into(),
+            new_a_shape.base_ptr(ctx, generator).into(),
+            new_b_shape.base_ptr(ctx, generator).into(),
+            dst_shape.base_ptr(ctx, generator).into(),
+        ],
+        None,
+        None,
+    );
+}

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

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

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

@@ -0,0 +1,39 @@
+use inkwell::values::IntValue;
+
+use crate::codegen::{
+    expr::infer_and_call_function,
+    irrt::get_usize_dependent_function_name,
+    values::{ArrayLikeValue, ArraySliceValue},
+    CodeGenContext, CodeGenerator,
+};
+
+/// Generates a call to `__nac3_ndarray_reshape_resolve_and_check_new_shape`.
+///
+/// Resolves unknown dimensions in `new_shape` for `numpy.reshape(<ndarray>, new_shape)`, raising an
+/// assertion if multiple dimensions are unknown (`-1`).
+pub fn call_nac3_ndarray_reshape_resolve_and_check_new_shape<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &CodeGenContext<'ctx, '_>,
+    size: IntValue<'ctx>,
+    new_ndims: IntValue<'ctx>,
+    new_shape: ArraySliceValue<'ctx>,
+) {
+    let llvm_usize = ctx.get_size_type();
+
+    assert_eq!(size.get_type(), llvm_usize);
+    assert_eq!(new_ndims.get_type(), llvm_usize);
+    assert_eq!(new_shape.element_type(ctx, generator), llvm_usize.into());
+
+    let name = get_usize_dependent_function_name(
+        ctx,
+        "__nac3_ndarray_reshape_resolve_and_check_new_shape",
+    );
+    infer_and_call_function(
+        ctx,
+        &name,
+        None,
+        &[size.into(), new_ndims.into(), new_shape.base_ptr(ctx, generator).into()],
+        None,
+        None,
+    );
+}

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

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

nac3core/src/codegen/irrt/range.rs

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

nac3core/src/codegen/irrt/slice.rs

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

nac3core/src/codegen/irrt/string.rs

@@ -0,0 +1,45 @@
+use inkwell::values::{BasicValueEnum, CallSiteValue, IntValue, PointerValue};
+use itertools::Either;
+
+use super::get_usize_dependent_function_name;
+use crate::codegen::CodeGenContext;
+
+/// Generates a call to string equality comparison. Returns an `i1` representing whether the strings are equal.
+pub fn call_string_eq<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    str1_ptr: PointerValue<'ctx>,
+    str1_len: IntValue<'ctx>,
+    str2_ptr: PointerValue<'ctx>,
+    str2_len: IntValue<'ctx>,
+) -> IntValue<'ctx> {
+    let llvm_i1 = ctx.ctx.bool_type();
+
+    let func_name = get_usize_dependent_function_name(ctx, "nac3_str_eq");
+
+    let func = ctx.module.get_function(&func_name).unwrap_or_else(|| {
+        ctx.module.add_function(
+            &func_name,
+            llvm_i1.fn_type(
+                &[
+                    str1_ptr.get_type().into(),
+                    str1_len.get_type().into(),
+                    str2_ptr.get_type().into(),
+                    str2_len.get_type().into(),
+                ],
+                false,
+            ),
+            None,
+        )
+    });
+
+    ctx.builder
+        .build_call(
+            func,
+            &[str1_ptr.into(), str1_len.into(), str2_ptr.into(), str2_len.into()],
+            "str_eq_call",
+        )
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}

nac3core/src/codegen/llvm_intrinsics.rs

@@ -1,7 +1,6 @@
 use inkwell::{
-    context::Context,
     intrinsics::Intrinsic,
-    types::{AnyTypeEnum::IntType, FloatType},
+    types::AnyTypeEnum::IntType,
     values::{BasicValueEnum, CallSiteValue, FloatValue, IntValue, PointerValue},
     AddressSpace,
 };
@@ -9,34 +8,6 @@ use itertools::Either;
 
 use super::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 {
-    // Standard LLVM floating-point types
-    if ft == ctx.f16_type() {
-        return "f16";
-    }
-    if ft == ctx.f32_type() {
-        return "f32";
-    }
-    if ft == ctx.f64_type() {
-        return "f64";
-    }
-    if ft == ctx.f128_type() {
-        return "f128";
-    }
-
-    // Non-standard floating-point types
-    if ft == ctx.x86_f80_type() {
-        return "f80";
-    }
-    if ft == ctx.ppc_f128_type() {
-        return "ppcf128";
-    }
-
-    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>) {
@@ -54,7 +25,7 @@ pub fn call_va_start<'ctx>(ctx: &CodeGenContext<'ctx, '_>, arglist: PointerValue
     ctx.builder.build_call(intrinsic_fn, &[arglist.into()], "").unwrap();
 }
 
-/// Invokes the [`llvm.va_start`](https://llvm.org/docs/LangRef.html#llvm-va-start-intrinsic)
+/// Invokes the [`llvm.va_end`](https://llvm.org/docs/LangRef.html#llvm-va-end-intrinsic)
 /// intrinsic.
 pub fn call_va_end<'ctx>(ctx: &CodeGenContext<'ctx, '_>, arglist: PointerValue<'ctx>) {
     const FN_NAME: &str = "llvm.va_end";
@@ -201,6 +172,49 @@ pub fn call_memcpy_generic<'ctx>(
     call_memcpy(ctx, dest, src, len, is_volatile);
 }
 
+/// Invokes the `llvm.memcpy` intrinsic.
+///
+/// Unlike [`call_memcpy`], this function accepts any type of pointer value. If `dest` or `src` is
+/// not a pointer to an integer, the pointer(s) will be cast to `i8*` before invoking `memcpy`.
+/// Moreover, `len` now refers to the number of elements to copy (rather than number of bytes to
+/// copy).
+pub fn call_memcpy_generic_array<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    dest: PointerValue<'ctx>,
+    src: PointerValue<'ctx>,
+    len: IntValue<'ctx>,
+    is_volatile: IntValue<'ctx>,
+) {
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_sizeof_expr_t = llvm_i8.size_of().get_type();
+
+    let dest_elem_t = dest.get_type().get_element_type();
+    let src_elem_t = src.get_type().get_element_type();
+
+    let dest = if matches!(dest_elem_t, IntType(t) if t.get_bit_width() == 8) {
+        dest
+    } else {
+        ctx.builder
+            .build_bit_cast(dest, llvm_p0i8, "")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap()
+    };
+    let src = if matches!(src_elem_t, IntType(t) if t.get_bit_width() == 8) {
+        src
+    } else {
+        ctx.builder
+            .build_bit_cast(src, llvm_p0i8, "")
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap()
+    };
+
+    let len = ctx.builder.build_int_z_extend_or_bit_cast(len, llvm_sizeof_expr_t, "").unwrap();
+    let len = ctx.builder.build_int_mul(len, src_elem_t.size_of().unwrap(), "").unwrap();
+
+    call_memcpy(ctx, dest, src, len, is_volatile);
+}
+
 /// Macro to find and generate build call for llvm intrinsic (body of llvm intrinsic function)
 ///
 /// Arguments:
@@ -343,3 +357,25 @@ pub fn call_float_powi<'ctx>(
         .map(Either::unwrap_left)
         .unwrap()
 }
+
+/// Invokes the [`llvm.ctpop`](https://llvm.org/docs/LangRef.html#llvm-ctpop-intrinsic) intrinsic.
+pub fn call_int_ctpop<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    src: IntValue<'ctx>,
+    name: Option<&str>,
+) -> IntValue<'ctx> {
+    const FN_NAME: &str = "llvm.ctpop";
+
+    let llvm_src_t = src.get_type();
+
+    let intrinsic_fn = Intrinsic::find(FN_NAME)
+        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_src_t.into()]))
+        .unwrap();
+
+    ctx.builder
+        .build_call(intrinsic_fn, &[src.into()], name.unwrap_or_default())
+        .map(CallSiteValue::try_as_basic_value)
+        .map(|v| v.map_left(BasicValueEnum::into_int_value))
+        .map(Either::unwrap_left)
+        .unwrap()
+}

nac3core/src/codegen/mod.rs

@@ -1,4 +1,5 @@
 use std::{
+    cell::OnceCell,
     collections::{HashMap, HashSet},
     sync::{
         atomic::{AtomicBool, Ordering},
@@ -19,7 +20,7 @@ use inkwell::{
     module::Module,
     passes::PassBuilderOptions,
     targets::{CodeModel, RelocMode, Target, TargetMachine, TargetTriple},
-    types::{AnyType, BasicType, BasicTypeEnum},
+    types::{AnyType, BasicType, BasicTypeEnum, IntType},
     values::{BasicValueEnum, FunctionValue, IntValue, PhiValue, PointerValue},
     AddressSpace, IntPredicate, OptimizationLevel,
 };
@@ -30,18 +31,21 @@ use nac3parser::ast::{Location, Stmt, StrRef};
 
 use crate::{
     symbol_resolver::{StaticValue, SymbolResolver},
-    toplevel::{helper::PrimDef, numpy::unpack_ndarray_var_tys, TopLevelContext, TopLevelDef},
+    toplevel::{
+        helper::{extract_ndims, PrimDef},
+        numpy::unpack_ndarray_var_tys,
+        TopLevelContext, TopLevelDef,
+    },
     typecheck::{
         type_inferencer::{CodeLocation, PrimitiveStore},
         typedef::{CallId, FuncArg, Type, TypeEnum, Unifier},
     },
 };
-use classes::{ListType, NDArrayType, ProxyType, RangeType};
 use concrete_type::{ConcreteType, ConcreteTypeEnum, ConcreteTypeStore};
 pub use generator::{CodeGenerator, DefaultCodeGenerator};
+use types::{ndarray::NDArrayType, ListType, ProxyType, RangeType, TupleType};
 
 pub mod builtin_fns;
-pub mod classes;
 pub mod concrete_type;
 pub mod expr;
 pub mod extern_fns;
@@ -50,6 +54,8 @@ pub mod irrt;
 pub mod llvm_intrinsics;
 pub mod numpy;
 pub mod stmt;
+pub mod types;
+pub mod values;
 
 #[cfg(test)]
 mod test;
@@ -221,14 +227,33 @@ pub struct CodeGenContext<'ctx, 'a> {
 
     /// The current source location.
     pub current_loc: Location,
+
+    /// The cached type of `size_t`.
+    llvm_usize: OnceCell<IntType<'ctx>>,
 }
 
-impl<'ctx, 'a> CodeGenContext<'ctx, 'a> {
+impl<'ctx> CodeGenContext<'ctx, '_> {
     /// Whether the [current basic block][Builder::get_insert_block] referenced by `builder`
     /// contains a [terminator statement][BasicBlock::get_terminator].
     pub fn is_terminated(&self) -> bool {
         self.builder.get_insert_block().and_then(BasicBlock::get_terminator).is_some()
     }
+
+    /// Returns a [`IntType`] representing `size_t` for the compilation target as specified by
+    /// [`self.registry`][WorkerRegistry].
+    pub fn get_size_type(&self) -> IntType<'ctx> {
+        *self.llvm_usize.get_or_init(|| {
+            self.ctx.ptr_sized_int_type(
+                &self
+                    .registry
+                    .llvm_options
+                    .create_target_machine()
+                    .map(|tm| tm.get_target_data())
+                    .unwrap(),
+                None,
+            )
+        })
+    }
 }
 
 type Fp = Box<dyn Fn(&Module) + Send + Sync>;
@@ -476,6 +501,38 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
     type_cache.get(&unifier.get_representative(ty)).copied().unwrap_or_else(|| {
         let ty_enum = unifier.get_ty(ty);
         let result = match &*ty_enum {
+            TModule {module_id, attributes} => {
+                let top_level_defs = top_level.definitions.read();
+                let definition = top_level_defs.get(module_id.0).unwrap();
+                let TopLevelDef::Module { name, attributes: attribute_fields, .. } = &*definition.read() else {
+                    unreachable!()
+                };
+                let ty: BasicTypeEnum<'_> = if let Some(t) = module.get_struct_type(&name.to_string()) {
+                    t.ptr_type(AddressSpace::default()).into()
+                } else {
+                    let struct_type = ctx.opaque_struct_type(&name.to_string());
+                    type_cache.insert(
+                        unifier.get_representative(ty),
+                        struct_type.ptr_type(AddressSpace::default()).into(),
+                    );
+                    let module_fields: Vec<BasicTypeEnum<'_>> = attribute_fields.iter()
+                    .map(|f| {
+                        get_llvm_type(
+                            ctx,
+                            module,
+                            generator,
+                            unifier,
+                            top_level,
+                            type_cache,
+                            attributes[&f.0].0,
+                        )
+                    })
+                    .collect_vec();
+                    struct_type.set_body(&module_fields, false);
+                    struct_type.ptr_type(AddressSpace::default()).into()
+                };
+                return ty;
+            },
             TObj { obj_id, fields, .. } => {
                 // check to avoid treating non-class primitives as classes
                 if PrimDef::contains_id(*obj_id) {
@@ -505,16 +562,17 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                                 *params.iter().next().unwrap().1,
                             );
 
-                            ListType::new(generator, ctx, element_type).as_base_type().into()
+                            ListType::new_with_generator(generator, ctx, element_type).as_abi_type().into()
                         }
 
                         TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
-                            let (dtype, _) = unpack_ndarray_var_tys(unifier, ty);
+                            let (dtype, ndims) = unpack_ndarray_var_tys(unifier, ty);
+                            let ndims = extract_ndims(unifier, ndims);
                             let element_type = get_llvm_type(
                                 ctx, module, generator, unifier, top_level, type_cache, dtype,
                             );
 
-                            NDArrayType::new(generator, ctx, element_type).as_base_type().into()
+                            NDArrayType::new_with_generator(generator, ctx, element_type, ndims).as_abi_type().into()
                         }
 
                         _ => unreachable!(
@@ -568,7 +626,7 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                         get_llvm_type(ctx, module, generator, unifier, top_level, type_cache, *ty)
                     })
                     .collect_vec();
-                ctx.struct_type(&fields, false).into()
+                TupleType::new_with_generator(generator, ctx, &fields).as_abi_type().into()
             }
             TVirtual { .. } => unimplemented!(),
             _ => unreachable!("{}", ty_enum.get_type_name()),
@@ -742,7 +800,7 @@ pub fn gen_func_impl<
                 Some(t) => t.as_basic_type_enum(),
             }
         }),
-        (primitives.range, RangeType::new(context).as_base_type().into()),
+        (primitives.range, RangeType::new_with_generator(generator, context).as_abi_type().into()),
         (primitives.exception, {
             let name = "Exception";
             if let Some(t) = module.get_struct_type(name) {
@@ -981,8 +1039,20 @@ pub fn gen_func_impl<
         need_sret: has_sret,
         current_loc: Location::default(),
         debug_info: (dibuilder, compile_unit, func_scope.as_debug_info_scope()),
+        llvm_usize: OnceCell::default(),
     };
 
+    let target_llvm_usize = context.ptr_sized_int_type(
+        &registry.llvm_options.create_target_machine().map(|tm| tm.get_target_data()).unwrap(),
+        None,
+    );
+    let generator_llvm_usize = generator.get_size_type(context);
+    assert_eq!(
+        generator_llvm_usize,
+        target_llvm_usize,
+        "CodeGenerator (size_t = {generator_llvm_usize}) is not compatible with CodeGen Target (size_t = {target_llvm_usize})",
+    );
+
     let loc = code_gen_context.debug_info.0.create_debug_location(
         context,
         row as u32,
@@ -1118,3 +1188,106 @@ fn gen_in_range_check<'ctx>(
 fn get_va_count_arg_name(arg_name: StrRef) -> StrRef {
     format!("__{}_va_count", &arg_name).into()
 }
+
+/// Returns the alignment of the type.
+///
+/// This is necessary as `get_alignment` is not implemented as part of [`BasicType`].
+pub fn get_type_alignment<'ctx>(ty: impl Into<BasicTypeEnum<'ctx>>) -> IntValue<'ctx> {
+    match ty.into() {
+        BasicTypeEnum::ArrayType(ty) => ty.get_alignment(),
+        BasicTypeEnum::FloatType(ty) => ty.get_alignment(),
+        BasicTypeEnum::IntType(ty) => ty.get_alignment(),
+        BasicTypeEnum::PointerType(ty) => ty.get_alignment(),
+        BasicTypeEnum::StructType(ty) => ty.get_alignment(),
+        BasicTypeEnum::VectorType(ty) => ty.get_alignment(),
+    }
+}
+
+/// Inserts an `alloca` instruction with allocation `size` given in bytes and the alignment of the
+/// given type.
+///
+/// The returned [`PointerValue`] will have a type of `i8*`, a size of at least `size`, and will be
+/// aligned with the alignment of `align_ty`.
+pub fn type_aligned_alloca<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    align_ty: impl Into<BasicTypeEnum<'ctx>>,
+    size: IntValue<'ctx>,
+    name: Option<&str>,
+) -> PointerValue<'ctx> {
+    /// Round `val` up to its modulo `power_of_two`.
+    fn round_up<'ctx>(
+        ctx: &CodeGenContext<'ctx, '_>,
+        val: IntValue<'ctx>,
+        power_of_two: IntValue<'ctx>,
+    ) -> IntValue<'ctx> {
+        debug_assert_eq!(
+            val.get_type().get_bit_width(),
+            power_of_two.get_type().get_bit_width(),
+            "`val` ({}) and `power_of_two` ({}) must be the same type",
+            val.get_type(),
+            power_of_two.get_type(),
+        );
+
+        let llvm_val_t = val.get_type();
+
+        let max_rem =
+            ctx.builder.build_int_sub(power_of_two, llvm_val_t.const_int(1, false), "").unwrap();
+        ctx.builder
+            .build_and(
+                ctx.builder.build_int_add(val, max_rem, "").unwrap(),
+                ctx.builder.build_not(max_rem, "").unwrap(),
+                "",
+            )
+            .unwrap()
+    }
+
+    let llvm_i8 = ctx.ctx.i8_type();
+    let llvm_pi8 = llvm_i8.ptr_type(AddressSpace::default());
+    let llvm_usize = ctx.get_size_type();
+    let align_ty = align_ty.into();
+
+    let size = ctx.builder.build_int_truncate_or_bit_cast(size, llvm_usize, "").unwrap();
+
+    debug_assert_eq!(
+        size.get_type().get_bit_width(),
+        llvm_usize.get_bit_width(),
+        "Expected size_t ({}) for parameter `size` of `aligned_alloca`, got {}",
+        llvm_usize,
+        size.get_type(),
+    );
+
+    let alignment = get_type_alignment(align_ty);
+    let alignment = ctx.builder.build_int_truncate_or_bit_cast(alignment, llvm_usize, "").unwrap();
+
+    if ctx.registry.llvm_options.opt_level == OptimizationLevel::None {
+        let alignment_bitcount = llvm_intrinsics::call_int_ctpop(ctx, alignment, None);
+
+        ctx.make_assert(
+            generator,
+            ctx.builder
+                .build_int_compare(
+                    IntPredicate::EQ,
+                    alignment_bitcount,
+                    alignment_bitcount.get_type().const_int(1, false),
+                    "",
+                )
+                .unwrap(),
+            "0:AssertionError",
+            "Expected power-of-two alignment for aligned_alloca, got {0}",
+            [Some(alignment), None, None],
+            ctx.current_loc,
+        );
+    }
+
+    let buffer_size = round_up(ctx, size, alignment);
+    let aligned_slices = ctx.builder.build_int_unsigned_div(buffer_size, alignment, "").unwrap();
+
+    // Just to be absolutely sure, alloca in [i8 x alignment] slices
+    let buffer = ctx.builder.build_array_alloca(align_ty, aligned_slices, "").unwrap();
+
+    ctx.builder
+        .build_bit_cast(buffer, llvm_pi8, name.unwrap_or_default())
+        .map(BasicValueEnum::into_pointer_value)
+        .unwrap()
+}

nac3core/src/codegen/stmt.rs

@@ -1,6 +1,7 @@
 use inkwell::{
     attributes::{Attribute, AttributeLoc},
     basic_block::BasicBlock,
+    builder::Builder,
     types::{BasicType, BasicTypeEnum},
     values::{BasicValue, BasicValueEnum, FunctionValue, IntValue, PointerValue},
     IntPredicate,
@@ -12,11 +13,15 @@ use nac3parser::ast::{
 };
 
 use super::{
-    classes::{ArrayLikeIndexer, ArraySliceValue, ListValue, RangeValue},
     expr::{destructure_range, gen_binop_expr},
     gen_in_range_check,
     irrt::{handle_slice_indices, list_slice_assignment},
     macros::codegen_unreachable,
+    types::{ndarray::NDArrayType, RangeType},
+    values::{
+        ndarray::{RustNDIndex, ScalarOrNDArray},
+        ArrayLikeIndexer, ArraySliceValue, ListValue, ProxyValue,
+    },
     CodeGenContext, CodeGenerator,
 };
 use crate::{
@@ -302,7 +307,7 @@ pub fn gen_setitem<'ctx, G: CodeGenerator>(
             if *obj_id == ctx.primitives.list.obj_id(&ctx.unifier).unwrap() =>
         {
             // Handle list item assignment
-            let llvm_usize = generator.get_size_type(ctx.ctx);
+            let llvm_usize = ctx.get_size_type();
             let target_item_ty = iter_type_vars(list_params).next().unwrap().ty;
 
             let target = generator
@@ -310,7 +315,7 @@ pub fn gen_setitem<'ctx, G: CodeGenerator>(
                 .unwrap()
                 .to_basic_value_enum(ctx, generator, target_ty)?
                 .into_pointer_value();
-            let target = ListValue::from_ptr_val(target, llvm_usize, None);
+            let target = ListValue::from_pointer_value(target, llvm_usize, None);
 
             if let ExprKind::Slice { .. } = &key.node {
                 // Handle assigning to a slice
@@ -331,7 +336,7 @@ pub fn gen_setitem<'ctx, G: CodeGenerator>(
 
                 let value =
                     value.to_basic_value_enum(ctx, generator, value_ty)?.into_pointer_value();
-                let value = ListValue::from_ptr_val(value, llvm_usize, None);
+                let value = ListValue::from_pointer_value(value, llvm_usize, None);
 
                 let target_item_ty = ctx.get_llvm_type(generator, target_item_ty);
                 let Some(src_ind) = handle_slice_indices(
@@ -363,10 +368,8 @@ pub fn gen_setitem<'ctx, G: CodeGenerator>(
                     .unwrap()
                     .to_basic_value_enum(ctx, generator, key_ty)?
                     .into_int_value();
-                let index = ctx
-                    .builder
-                    .build_int_s_extend(index, generator.get_size_type(ctx.ctx), "sext")
-                    .unwrap();
+                let index =
+                    ctx.builder.build_int_s_extend(index, ctx.get_size_type(), "sext").unwrap();
 
                 // handle negative index
                 let is_negative = ctx
@@ -374,7 +377,7 @@ pub fn gen_setitem<'ctx, G: CodeGenerator>(
                     .build_int_compare(
                         IntPredicate::SLT,
                         index,
-                        generator.get_size_type(ctx.ctx).const_zero(),
+                        ctx.get_size_type().const_zero(),
                         "is_neg",
                     )
                     .unwrap();
@@ -411,7 +414,51 @@ pub fn gen_setitem<'ctx, G: CodeGenerator>(
             if *obj_id == ctx.primitives.ndarray.obj_id(&ctx.unifier).unwrap() =>
         {
             // Handle NDArray item assignment
-            todo!("ndarray subscript assignment is not yet implemented");
+            // Process target
+            let target = generator
+                .gen_expr(ctx, target)?
+                .unwrap()
+                .to_basic_value_enum(ctx, generator, target_ty)?;
+
+            // Process key
+            let key = RustNDIndex::from_subscript_expr(generator, ctx, key)?;
+
+            // Process value
+            let value = value.to_basic_value_enum(ctx, generator, value_ty)?;
+
+            // Reference code:
+            // ```python
+            // target = target[key]
+            // value = np.asarray(value)
+            //
+            // shape = np.broadcast_shape((target, value))
+            //
+            // target = np.broadcast_to(target, shape)
+            // value = np.broadcast_to(value, shape)
+            //
+            // # ...and finally copy 1-1 from value to target.
+            // ```
+
+            let target = NDArrayType::from_unifier_type(generator, ctx, target_ty)
+                .map_pointer_value(target.into_pointer_value(), None);
+            let target = target.index(generator, ctx, &key);
+
+            let value = ScalarOrNDArray::from_value(generator, ctx, (value_ty, value))
+                .to_ndarray(generator, ctx);
+
+            let broadcast_ndims =
+                [target.get_type().ndims(), value.get_type().ndims()].into_iter().max().unwrap();
+            let broadcast_result = NDArrayType::new(
+                ctx,
+                value.get_type().element_type(),
+                broadcast_ndims,
+            )
+            .broadcast(generator, ctx, &[target, value]);
+
+            let target = broadcast_result.ndarrays[0];
+            let value = broadcast_result.ndarrays[1];
+
+            target.copy_data_from(ctx, value);
         }
         _ => {
             panic!("encountered unknown target type: {}", ctx.unifier.stringify(target_ty));
@@ -435,7 +482,7 @@ pub fn gen_for<G: CodeGenerator>(
     let var_assignment = ctx.var_assignment.clone();
 
     let int32 = ctx.ctx.i32_type();
-    let size_t = generator.get_size_type(ctx.ctx);
+    let size_t = ctx.get_size_type();
     let zero = int32.const_zero();
     let current = ctx.builder.get_insert_block().and_then(BasicBlock::get_parent).unwrap();
     let body_bb = ctx.ctx.append_basic_block(current, "for.body");
@@ -463,7 +510,8 @@ pub fn gen_for<G: CodeGenerator>(
         TypeEnum::TObj { obj_id, .. }
             if *obj_id == ctx.primitives.range.obj_id(&ctx.unifier).unwrap() =>
         {
-            let iter_val = RangeValue::from_ptr_val(iter_val.into_pointer_value(), Some("range"));
+            let iter_val =
+                RangeType::new(ctx).map_pointer_value(iter_val.into_pointer_value(), Some("range"));
             // Internal variable for loop; Cannot be assigned
             let i = generator.gen_var_alloc(ctx, int32.into(), Some("for.i.addr"))?;
             // Variable declared in "target" expression of the loop; Can be reassigned *or* shadowed
@@ -615,11 +663,25 @@ pub fn gen_for<G: CodeGenerator>(
 #[derive(PartialEq, Eq, Debug, Clone, Copy, Hash)]
 pub struct BreakContinueHooks<'ctx> {
     /// The [exit block][`BasicBlock`] to branch to when `break`-ing out of a loop.
-    pub exit_bb: BasicBlock<'ctx>,
+    exit_bb: BasicBlock<'ctx>,
 
     /// The [latch basic block][`BasicBlock`] to branch to for `continue`-ing to the next iteration
     /// of the loop.
-    pub latch_bb: BasicBlock<'ctx>,
+    latch_bb: BasicBlock<'ctx>,
+}
+
+impl<'ctx> BreakContinueHooks<'ctx> {
+    /// Creates a [`br` instruction][Builder::build_unconditional_branch] to the exit
+    /// [`BasicBlock`], as if by calling `break`.
+    pub fn build_break_branch(&self, builder: &Builder<'ctx>) {
+        builder.build_unconditional_branch(self.exit_bb).unwrap();
+    }
+
+    /// Creates a [`br` instruction][Builder::build_unconditional_branch] to the latch
+    /// [`BasicBlock`], as if by calling `continue`.
+    pub fn build_continue_branch(&self, builder: &Builder<'ctx>) {
+        builder.build_unconditional_branch(self.latch_bb).unwrap();
+    }
 }
 
 /// Generates a C-style `for` construct using lambdas, similar to the following C code:

nac3core/src/codegen/test.rs

@@ -16,8 +16,8 @@ use nac3parser::{
 use parking_lot::RwLock;
 
 use super::{
-    classes::{ListType, NDArrayType, ProxyType, RangeType},
     concrete_type::ConcreteTypeStore,
+    types::{ndarray::NDArrayType, ListType, ProxyType, RangeType},
     CodeGenContext, CodeGenLLVMOptions, CodeGenTargetMachineOptions, CodeGenTask, CodeGenerator,
     DefaultCodeGenerator, WithCall, WorkerRegistry,
 };
@@ -36,7 +36,6 @@ use crate::{
 struct Resolver {
     id_to_type: HashMap<StrRef, Type>,
     id_to_def: RwLock<HashMap<StrRef, DefinitionId>>,
-    class_names: HashMap<StrRef, Type>,
 }
 
 impl Resolver {
@@ -98,19 +97,18 @@ fn test_primitives() {
         "};
     let statements = parse_program(source, FileName::default()).unwrap();
 
-    let composer = TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 32).0;
+    let context = inkwell::context::Context::create();
+    let composer = TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
     let mut unifier = composer.unifier.clone();
     let primitives = composer.primitives_ty;
     let top_level = Arc::new(composer.make_top_level_context());
     unifier.top_level = Some(top_level.clone());
 
-    let resolver = Arc::new(Resolver {
-        id_to_type: HashMap::new(),
-        id_to_def: RwLock::new(HashMap::new()),
-        class_names: HashMap::default(),
-    }) as Arc<dyn SymbolResolver + Send + Sync>;
+    let resolver =
+        Arc::new(Resolver { id_to_type: HashMap::new(), id_to_def: RwLock::new(HashMap::new()) })
+            as Arc<dyn SymbolResolver + Send + Sync>;
 
-    let threads = vec![DefaultCodeGenerator::new("test".into(), 32).into()];
+    let threads = vec![DefaultCodeGenerator::new("test".into(), context.i64_type()).into()];
     let signature = FunSignature {
         args: vec![
             FuncArg {
@@ -263,7 +261,8 @@ fn test_simple_call() {
         "};
     let statements_2 = parse_program(source_2, FileName::default()).unwrap();
 
-    let composer = TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 32).0;
+    let context = inkwell::context::Context::create();
+    let composer = TopLevelComposer::new(Vec::new(), Vec::new(), ComposerConfig::default(), 64).0;
     let mut unifier = composer.unifier.clone();
     let primitives = composer.primitives_ty;
     let top_level = Arc::new(composer.make_top_level_context());
@@ -298,11 +297,7 @@ fn test_simple_call() {
         loc: None,
     })));
 
-    let resolver = Resolver {
-        id_to_type: HashMap::new(),
-        id_to_def: RwLock::new(HashMap::new()),
-        class_names: HashMap::default(),
-    };
+    let resolver = Resolver { id_to_type: HashMap::new(), id_to_def: RwLock::new(HashMap::new()) };
     resolver.add_id_def("foo".into(), DefinitionId(foo_id));
     let resolver = Arc::new(resolver) as Arc<dyn SymbolResolver + Send + Sync>;
 
@@ -314,7 +309,7 @@ fn test_simple_call() {
         unreachable!()
     }
 
-    let threads = vec![DefaultCodeGenerator::new("test".into(), 32).into()];
+    let threads = vec![DefaultCodeGenerator::new("test".into(), context.i64_type()).into()];
     let mut function_data = FunctionData {
         resolver: resolver.clone(),
         bound_variables: Vec::new(),
@@ -446,31 +441,34 @@ fn test_simple_call() {
 #[test]
 fn test_classes_list_type_new() {
     let ctx = inkwell::context::Context::create();
-    let generator = DefaultCodeGenerator::new(String::new(), 64);
+    let generator = DefaultCodeGenerator::new(String::new(), ctx.i64_type());
 
     let llvm_i32 = ctx.i32_type();
     let llvm_usize = generator.get_size_type(&ctx);
 
-    let llvm_list = ListType::new(&generator, &ctx, llvm_i32.into());
-    assert!(ListType::is_type(llvm_list.as_base_type(), llvm_usize).is_ok());
+    let llvm_list = ListType::new_with_generator(&generator, &ctx, llvm_i32.into());
+    assert!(ListType::is_representable(llvm_list.as_abi_type(), llvm_usize).is_ok());
 }
 
 #[test]
 fn test_classes_range_type_new() {
     let ctx = inkwell::context::Context::create();
+    let generator = DefaultCodeGenerator::new(String::new(), ctx.i64_type());
 
-    let llvm_range = RangeType::new(&ctx);
-    assert!(RangeType::is_type(llvm_range.as_base_type()).is_ok());
+    let llvm_usize = generator.get_size_type(&ctx);
+
+    let llvm_range = RangeType::new_with_generator(&generator, &ctx);
+    assert!(RangeType::is_representable(llvm_range.as_abi_type(), llvm_usize).is_ok());
 }
 
 #[test]
 fn test_classes_ndarray_type_new() {
     let ctx = inkwell::context::Context::create();
-    let generator = DefaultCodeGenerator::new(String::new(), 64);
+    let generator = DefaultCodeGenerator::new(String::new(), ctx.i64_type());
 
     let llvm_i32 = ctx.i32_type();
     let llvm_usize = generator.get_size_type(&ctx);
 
-    let llvm_ndarray = NDArrayType::new(&generator, &ctx, llvm_i32.into());
-    assert!(NDArrayType::is_type(llvm_ndarray.as_base_type(), llvm_usize).is_ok());
+    let llvm_ndarray = NDArrayType::new_with_generator(&generator, &ctx, llvm_i32.into(), 2);
+    assert!(NDArrayType::is_representable(llvm_ndarray.as_abi_type(), llvm_usize).is_ok());
 }

nac3core/src/codegen/types/list.rs

@@ -0,0 +1,390 @@
+use inkwell::{
+    context::Context,
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace, IntPredicate, OptimizationLevel,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use super::ProxyType;
+use crate::{
+    codegen::{
+        types::structure::{
+            check_struct_type_matches_fields, FieldIndexCounter, StructField, StructFields,
+            StructProxyType,
+        },
+        values::ListValue,
+        CodeGenContext, CodeGenerator,
+    },
+    typecheck::typedef::{iter_type_vars, Type, TypeEnum},
+};
+
+/// Proxy type for a `list` type in LLVM.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct ListType<'ctx> {
+    ty: PointerType<'ctx>,
+    item: Option<BasicTypeEnum<'ctx>>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct ListStructFields<'ctx> {
+    /// Array pointer to content.
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub items: StructField<'ctx, PointerValue<'ctx>>,
+
+    /// Number of items in the array.
+    #[value_type(usize)]
+    pub len: StructField<'ctx, IntValue<'ctx>>,
+}
+
+impl<'ctx> ListStructFields<'ctx> {
+    #[must_use]
+    pub fn new_typed(item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        let mut counter = FieldIndexCounter::default();
+
+        ListStructFields {
+            items: StructField::create(
+                &mut counter,
+                "items",
+                item.ptr_type(AddressSpace::default()),
+            ),
+            len: StructField::create(&mut counter, "len", llvm_usize),
+        }
+    }
+}
+
+impl<'ctx> ListType<'ctx> {
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> ListStructFields<'ctx> {
+        ListStructFields::new_typed(item, llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of a `List`.
+    #[must_use]
+    fn llvm_type(
+        ctx: &'ctx Context,
+        element_type: Option<BasicTypeEnum<'ctx>>,
+        llvm_usize: IntType<'ctx>,
+    ) -> PointerType<'ctx> {
+        let element_type = element_type.map_or(llvm_usize.into(), |ty| ty.as_basic_type_enum());
+
+        let field_tys =
+            Self::fields(element_type, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(
+        ctx: &'ctx Context,
+        element_type: Option<BasicTypeEnum<'ctx>>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        let llvm_list = Self::llvm_type(ctx, element_type, llvm_usize);
+
+        Self { ty: llvm_list, item: element_type, llvm_usize }
+    }
+
+    /// Creates an instance of [`ListType`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>, element_type: &impl BasicType<'ctx>) -> Self {
+        Self::new_impl(ctx.ctx, Some(element_type.as_basic_type_enum()), ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`ListType`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        element_type: BasicTypeEnum<'ctx>,
+    ) -> Self {
+        Self::new_impl(ctx, Some(element_type.as_basic_type_enum()), generator.get_size_type(ctx))
+    }
+
+    /// Creates an instance of [`ListType`] with an unknown element type.
+    #[must_use]
+    pub fn new_untyped(ctx: &CodeGenContext<'ctx, '_>) -> Self {
+        Self::new_impl(ctx.ctx, None, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`ListType`] with an unknown element type.
+    #[must_use]
+    pub fn new_untyped_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+    ) -> Self {
+        Self::new_impl(ctx, None, generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`ListType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        // Check unifier type and extract `item_type`
+        let elem_type = match &*ctx.unifier.get_ty_immutable(ty) {
+            TypeEnum::TObj { obj_id, params, .. }
+                if *obj_id == ctx.primitives.list.obj_id(&ctx.unifier).unwrap() =>
+            {
+                iter_type_vars(params).next().unwrap().ty
+            }
+
+            _ => panic!("Expected `list` type, but got {}", ctx.unifier.stringify(ty)),
+        };
+
+        let llvm_usize = ctx.get_size_type();
+        let llvm_elem_type = if let TypeEnum::TVar { .. } = &*ctx.unifier.get_ty_immutable(ty) {
+            None
+        } else {
+            Some(ctx.get_llvm_type(generator, elem_type))
+        };
+
+        Self::new_impl(ctx.ctx, llvm_elem_type, llvm_usize)
+    }
+
+    /// Creates an [`ListType`] from a [`StructType`].
+    #[must_use]
+    pub fn from_struct_type(ty: StructType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), llvm_usize)
+    }
+
+    /// Creates an [`ListType`] from a [`PointerType`].
+    #[must_use]
+    pub fn from_pointer_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        let ctx = ptr_ty.get_context();
+
+        // We are just searching for the index off a field - Slot an arbitrary element type in.
+        let item_field_idx =
+            Self::fields(ctx.i8_type().into(), llvm_usize).index_of_field(|f| f.items);
+        let item = unsafe {
+            ptr_ty
+                .get_element_type()
+                .into_struct_type()
+                .get_field_type_at_index_unchecked(item_field_idx)
+                .into_pointer_type()
+                .get_element_type()
+        };
+        let item = BasicTypeEnum::try_from(item).unwrap_or_else(|()| {
+            panic!(
+                "Expected BasicTypeEnum for list element type, got {}",
+                ptr_ty.get_element_type().print_to_string()
+            )
+        });
+
+        ListType { ty: ptr_ty, item: Some(item), llvm_usize }
+    }
+
+    /// Returns the type of the `size` field of this `list` type.
+    #[must_use]
+    pub fn size_type(&self) -> IntType<'ctx> {
+        self.llvm_usize
+    }
+
+    /// Returns the element type of this `list` type.
+    #[must_use]
+    pub fn element_type(&self) -> Option<BasicTypeEnum<'ctx>> {
+        self.item
+    }
+
+    /// Allocates an instance of [`ListValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`ListValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates a [`ListValue`] on the stack using `item` of this [`ListType`] instance.
+    ///
+    /// The returned list will contain:
+    ///
+    /// - `data`: Allocated with `len` number of elements.
+    /// - `len`: Initialized to the value of `len` passed to this function.
+    #[must_use]
+    pub fn construct<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        len: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let len = ctx.builder.build_int_z_extend(len, self.llvm_usize, "").unwrap();
+
+        // Generate a runtime assertion if allocating a non-empty list with unknown element type
+        if ctx.registry.llvm_options.opt_level == OptimizationLevel::None && self.item.is_none() {
+            let len_eqz = ctx
+                .builder
+                .build_int_compare(IntPredicate::EQ, len, self.llvm_usize.const_zero(), "")
+                .unwrap();
+
+            ctx.make_assert(
+                generator,
+                len_eqz,
+                "0:AssertionError",
+                "Cannot allocate a non-empty list with unknown element type",
+                [None, None, None],
+                ctx.current_loc,
+            );
+        }
+
+        let plist = self.alloca_var(generator, ctx, name);
+        plist.store_size(ctx, len);
+
+        let item = self.item.unwrap_or(self.llvm_usize.into());
+        plist.create_data(ctx, item, None);
+
+        plist
+    }
+
+    /// Convenience function for creating a list with zero elements.
+    ///
+    /// This function is preferred over [`ListType::construct`] if the length is known to always be
+    /// 0, as this function avoids injecting an IR assertion for checking if a non-empty untyped
+    /// list is being allocated.
+    ///
+    /// The returned list will contain:
+    ///
+    /// - `data`: Initialized to `(T*) 0`.
+    /// - `len`: Initialized to `0`.
+    #[must_use]
+    pub fn construct_empty<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let plist = self.alloca_var(generator, ctx, name);
+
+        plist.store_size(ctx, self.llvm_usize.const_zero());
+        plist.create_data(ctx, self.item.unwrap_or(self.llvm_usize.into()), None);
+
+        plist
+    }
+
+    /// Converts an existing value into a [`ListValue`].
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ListValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for ListType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = ListValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let llvm_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!("Expected struct type for `list` type, got {llvm_ty}"));
+        };
+
+        let fields = ListStructFields::new(ctx, llvm_usize);
+
+        check_struct_type_matches_fields(
+            fields,
+            llvm_ty,
+            "list",
+            &[(fields.items.name(), &|ty| {
+                if ty.is_pointer_type() {
+                    Ok(())
+                } else {
+                    Err(format!("Expected T* for `list.items`, got {ty}"))
+                }
+            })],
+        )
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for ListType<'ctx> {
+    type StructFields = ListStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        Self::fields(self.item.unwrap_or(self.llvm_usize.into()), self.llvm_usize)
+    }
+}
+
+impl<'ctx> From<ListType<'ctx>> for PointerType<'ctx> {
+    fn from(value: ListType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/mod.rs

@@ -0,0 +1,129 @@
+//! This module contains abstraction over all intrinsic composite types of NAC3.
+//!
+//! # `raw_alloca` vs `alloca` vs `construct`
+//!
+//! There are three ways of creating a new object instance using the abstractions provided by this
+//! module.
+//!
+//! - `raw_alloca`: Allocates the object on the stack, returning an instance of
+//!   [`impl BasicValue`][inkwell::values::BasicValue]. This is similar to a `malloc` expression in
+//!   C++ but the object is allocated on the stack.
+//! - `alloca`: Similar to `raw_alloca`, but also wraps the allocated object with
+//!   [`<Self as ProxyType<'ctx>>::Value`][ProxyValue], and returns the wrapped object. The returned
+//!   object will not initialize any value or fields. This is similar to a type-safe `malloc`
+//!   expression in C++ but the object is allocated on the stack.
+//! - `construct`: Similar to `alloca`, but performs some initialization on the value or fields of
+//!   the returned object. This is similar to a `new` expression in C++ but the object is allocated
+//!   on the stack.
+
+use inkwell::{
+    types::{BasicType, IntType},
+    values::{IntValue, PointerValue},
+};
+
+use super::{
+    values::{ArraySliceValue, ProxyValue},
+    {CodeGenContext, CodeGenerator},
+};
+pub use list::*;
+pub use range::*;
+pub use tuple::*;
+
+mod list;
+pub mod ndarray;
+mod range;
+pub mod structure;
+mod tuple;
+pub mod utils;
+
+/// A LLVM type that is used to represent a corresponding type in NAC3.
+pub trait ProxyType<'ctx>: Into<Self::Base> {
+    /// The ABI type of which values of this type possess.
+    type ABI: BasicType<'ctx>;
+
+    /// The LLVM type of which values of this type possess.
+    type Base: BasicType<'ctx>;
+
+    /// The type of values represented by this type.
+    type Value: ProxyValue<'ctx, Type = Self>;
+
+    /// Checks whether `llvm_ty` can be represented by this [`ProxyType`].
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String>;
+
+    /// Checks whether the type represented by `ty` expresses the same type represented by this
+    /// [`ProxyType`].
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String>;
+
+    /// Returns the type that should be used in `alloca` IR statements.
+    fn alloca_type(&self) -> impl BasicType<'ctx>;
+
+    /// Creates a new value of this type by invoking `alloca` at the current builder location,
+    /// returning a [`PointerValue`] instance representing the allocated value.
+    fn raw_alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> PointerValue<'ctx> {
+        ctx.builder
+            .build_alloca(self.alloca_type().as_basic_type_enum(), name.unwrap_or_default())
+            .unwrap()
+    }
+
+    /// Creates a new value of this type by invoking `alloca` at the beginning of the function,
+    /// returning a [`PointerValue`] instance representing the allocated value.
+    fn raw_alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> PointerValue<'ctx> {
+        generator.gen_var_alloc(ctx, self.alloca_type().as_basic_type_enum(), name).unwrap()
+    }
+
+    /// Creates a new array value of this type by invoking `alloca` at the current builder location,
+    /// returning an [`ArraySliceValue`] encapsulating the resulting array.
+    fn array_alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> ArraySliceValue<'ctx> {
+        ArraySliceValue::from_ptr_val(
+            ctx.builder
+                .build_array_alloca(
+                    self.alloca_type().as_basic_type_enum(),
+                    size,
+                    name.unwrap_or_default(),
+                )
+                .unwrap(),
+            size,
+            name,
+        )
+    }
+
+    /// Creates a new array value of this type by invoking `alloca` at the beginning of the
+    /// function, returning an [`ArraySliceValue`] encapsulating the resulting array.
+    fn array_alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> ArraySliceValue<'ctx> {
+        generator
+            .gen_array_var_alloc(ctx, self.alloca_type().as_basic_type_enum(), size, name)
+            .unwrap()
+    }
+
+    /// Returns the [base type][Self::Base] of this proxy.
+    fn as_base_type(&self) -> Self::Base;
+
+    /// Returns this proxy as its ABI type, i.e. the expected type representation if a value of this
+    /// [`ProxyType`] is being passed into or returned from a function.
+    ///
+    /// See [`CodeGenContext::get_llvm_abi_type`].
+    fn as_abi_type(&self) -> Self::ABI;
+}

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

@@ -0,0 +1,240 @@
+use inkwell::{
+    types::BasicTypeEnum,
+    values::{BasicValueEnum, IntValue},
+    AddressSpace,
+};
+
+use crate::{
+    codegen::{
+        irrt,
+        stmt::gen_if_else_expr_callback,
+        types::{ndarray::NDArrayType, ListType, ProxyType},
+        values::{
+            ndarray::NDArrayValue, ArrayLikeValue, ArraySliceValue, ListValue, ProxyValue,
+            TypedArrayLikeAdapter, TypedArrayLikeMutator,
+        },
+        CodeGenContext, CodeGenerator,
+    },
+    toplevel::helper::{arraylike_flatten_element_type, arraylike_get_ndims},
+    typecheck::typedef::{Type, TypeEnum},
+};
+
+/// Get the expected `dtype` and `ndims` of the ndarray returned by `np_array(<list>)`.
+fn get_list_object_dtype_and_ndims<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    list_ty: Type,
+) -> (BasicTypeEnum<'ctx>, u64) {
+    let dtype = arraylike_flatten_element_type(&mut ctx.unifier, list_ty);
+    let ndims = arraylike_get_ndims(&mut ctx.unifier, list_ty);
+
+    (ctx.get_llvm_type(generator, dtype), ndims)
+}
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Implementation of `np_array(<list>, copy=True)`
+    fn construct_numpy_array_from_list_copy_true_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (list_ty, list): (Type, ListValue<'ctx>),
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let (dtype, ndims_int) = get_list_object_dtype_and_ndims(generator, ctx, list_ty);
+        assert!(self.ndims >= ndims_int);
+        assert_eq!(dtype, self.dtype);
+
+        let list_value = list.as_i8_list(ctx);
+
+        // Validate `list` has a consistent shape.
+        // Raise an exception if `list` is something abnormal like `[[1, 2], [3]]`.
+        // If `list` has a consistent shape, deduce the shape and write it to `shape`.
+        let ndims = self.llvm_usize.const_int(ndims_int, false);
+        let shape = ctx.builder.build_array_alloca(self.llvm_usize, ndims, "").unwrap();
+        let shape = ArraySliceValue::from_ptr_val(shape, ndims, None);
+        let shape = TypedArrayLikeAdapter::from(
+            shape,
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+        irrt::ndarray::call_nac3_ndarray_array_set_and_validate_list_shape(
+            generator, ctx, list_value, ndims, &shape,
+        );
+
+        let ndarray =
+            Self::new(ctx, dtype, ndims_int).construct_uninitialized(generator, ctx, name);
+        ndarray.copy_shape_from_array(generator, ctx, shape.base_ptr(ctx, generator));
+        unsafe { ndarray.create_data(generator, ctx) };
+
+        // Copy all contents from the list.
+        irrt::ndarray::call_nac3_ndarray_array_write_list_to_array(ctx, list_value, ndarray);
+
+        ndarray
+    }
+
+    /// Implementation of `np_array(<list>, copy=None)`
+    fn construct_numpy_array_from_list_copy_none_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (list_ty, list): (Type, ListValue<'ctx>),
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        // np_array without copying is only possible `list` is not nested.
+        //
+        // If `list` is `list[T]`, we can create an ndarray with `data` set
+        // to the array pointer of `list`.
+        //
+        // If `list` is `list[list[T]]` or worse, copy.
+
+        let (dtype, ndims) = get_list_object_dtype_and_ndims(generator, ctx, list_ty);
+        if ndims == 1 {
+            // `list` is not nested
+            assert_eq!(ndims, 1);
+            assert!(self.ndims >= ndims);
+            assert_eq!(dtype, self.dtype);
+
+            let llvm_pi8 = ctx.ctx.i8_type().ptr_type(AddressSpace::default());
+
+            let ndarray = Self::new(ctx, dtype, 1).construct_uninitialized(generator, ctx, name);
+
+            // Set data
+            let data = ctx
+                .builder
+                .build_pointer_cast(list.data().base_ptr(ctx, generator), llvm_pi8, "")
+                .unwrap();
+            ndarray.store_data(ctx, data);
+
+            // ndarray->shape[0] = list->len;
+            let shape = ndarray.shape();
+            let list_len = list.load_size(ctx, None);
+            unsafe {
+                shape.set_typed_unchecked(ctx, generator, &self.llvm_usize.const_zero(), list_len);
+            }
+
+            // Set strides, the `data` is contiguous
+            ndarray.set_strides_contiguous(ctx);
+
+            ndarray
+        } else {
+            // `list` is nested, copy
+            self.construct_numpy_array_from_list_copy_true_impl(
+                generator,
+                ctx,
+                (list_ty, list),
+                name,
+            )
+        }
+    }
+
+    /// Implementation of `np_array(<list>, copy=copy)`
+    fn construct_numpy_array_list_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (list_ty, list): (Type, ListValue<'ctx>),
+        copy: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(copy.get_type(), ctx.ctx.bool_type());
+
+        let (dtype, ndims) = get_list_object_dtype_and_ndims(generator, ctx, list_ty);
+
+        let ndarray = gen_if_else_expr_callback(
+            generator,
+            ctx,
+            |_generator, _ctx| Ok(copy),
+            |generator, ctx| {
+                let ndarray = self.construct_numpy_array_from_list_copy_true_impl(
+                    generator,
+                    ctx,
+                    (list_ty, list),
+                    name,
+                );
+                Ok(Some(ndarray.as_abi_value(ctx)))
+            },
+            |generator, ctx| {
+                let ndarray = self.construct_numpy_array_from_list_copy_none_impl(
+                    generator,
+                    ctx,
+                    (list_ty, list),
+                    name,
+                );
+                Ok(Some(ndarray.as_abi_value(ctx)))
+            },
+        )
+        .unwrap()
+        .map(BasicValueEnum::into_pointer_value)
+        .unwrap();
+
+        NDArrayType::new(ctx, dtype, ndims).map_pointer_value(ndarray, None)
+    }
+
+    /// Implementation of `np_array(<ndarray>, copy=copy)`.
+    pub fn construct_numpy_array_ndarray_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndarray: NDArrayValue<'ctx>,
+        copy: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(ndarray.get_type().dtype, self.dtype);
+        assert!(self.ndims >= ndarray.get_type().ndims);
+        assert_eq!(copy.get_type(), ctx.ctx.bool_type());
+
+        let ndarray_val = gen_if_else_expr_callback(
+            generator,
+            ctx,
+            |_generator, _ctx| Ok(copy),
+            |generator, ctx| {
+                let ndarray = ndarray.make_copy(generator, ctx); // Force copy
+                Ok(Some(ndarray.as_abi_value(ctx)))
+            },
+            |_generator, ctx| {
+                // No need to copy. Return `ndarray` itself.
+                Ok(Some(ndarray.as_abi_value(ctx)))
+            },
+        )
+        .unwrap()
+        .map(BasicValueEnum::into_pointer_value)
+        .unwrap();
+
+        ndarray.get_type().map_pointer_value(ndarray_val, name)
+    }
+
+    /// Create a new ndarray like
+    /// [`np.array()`](https://numpy.org/doc/stable/reference/generated/numpy.array.html).
+    ///
+    /// Note that the returned [`NDArrayValue`] may have fewer dimensions than is specified by this
+    /// instance. Use [`NDArrayValue::atleast_nd`] on the returned value if an `ndarray` instance
+    /// with the exact number of dimensions is needed.
+    pub fn construct_numpy_array<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        (object_ty, object): (Type, BasicValueEnum<'ctx>),
+        copy: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        match &*ctx.unifier.get_ty_immutable(object_ty) {
+            TypeEnum::TObj { obj_id, .. }
+                if *obj_id == ctx.primitives.list.obj_id(&ctx.unifier).unwrap() =>
+            {
+                let list = ListType::from_unifier_type(generator, ctx, object_ty)
+                    .map_pointer_value(object.into_pointer_value(), None);
+                self.construct_numpy_array_list_impl(generator, ctx, (object_ty, list), copy, name)
+            }
+
+            TypeEnum::TObj { obj_id, .. }
+                if *obj_id == ctx.primitives.ndarray.obj_id(&ctx.unifier).unwrap() =>
+            {
+                let ndarray = NDArrayType::from_unifier_type(generator, ctx, object_ty)
+                    .map_pointer_value(object.into_pointer_value(), None);
+                self.construct_numpy_array_ndarray_impl(generator, ctx, ndarray, copy, name)
+            }
+
+            _ => panic!("Unrecognized object type: {}", ctx.unifier.stringify(object_ty)), // Typechecker ensures this
+        }
+    }
+}

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

@@ -0,0 +1,205 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::codegen::{
+    types::{
+        structure::{check_struct_type_matches_fields, StructField, StructFields, StructProxyType},
+        ProxyType,
+    },
+    values::ndarray::ShapeEntryValue,
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct ShapeEntryType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct ShapeEntryStructFields<'ctx> {
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> ShapeEntryType<'ctx> {
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(
+        ctx: impl AsContextRef<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> ShapeEntryStructFields<'ctx> {
+        ShapeEntryStructFields::new(ctx, llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of a `ShapeEntry`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> Self {
+        let llvm_ty = Self::llvm_type(ctx, llvm_usize);
+
+        Self { ty: llvm_ty, llvm_usize }
+    }
+
+    /// Creates an instance of [`ShapeEntryType`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>) -> Self {
+        Self::new_impl(ctx.ctx, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`ShapeEntryType`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+    ) -> Self {
+        Self::new_impl(ctx, generator.get_size_type(ctx))
+    }
+
+    /// Creates a [`ShapeEntryType`] from a [`StructType`] representing an `ShapeEntry`.
+    #[must_use]
+    pub fn from_struct_type(ty: StructType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), llvm_usize)
+    }
+
+    /// Creates a [`ShapeEntryType`] from a [`PointerType`] representing an `ShapeEntry`.
+    #[must_use]
+    pub fn from_pointer_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Allocates an instance of [`ShapeEntryValue`] as if by calling `alloca` on the base type.
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`ShapeEntryValue`] as if by calling `alloca` on the base type.
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ShapeEntryValue`].
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ShapeEntryValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for ShapeEntryType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = ShapeEntryValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let llvm_ndarray_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ndarray_ty) = llvm_ndarray_ty else {
+            return Err(format!(
+                "Expected struct type for `ShapeEntry` type, got {llvm_ndarray_ty}"
+            ));
+        };
+
+        check_struct_type_matches_fields(
+            Self::fields(ctx, llvm_usize),
+            llvm_ndarray_ty,
+            "NDArray",
+            &[],
+        )
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for ShapeEntryType<'ctx> {
+    type StructFields = ShapeEntryStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        Self::fields(self.ty.get_context(), self.llvm_usize)
+    }
+}
+
+impl<'ctx> From<ShapeEntryType<'ctx>> for PointerType<'ctx> {
+    fn from(value: ShapeEntryType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

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

@@ -0,0 +1,281 @@
+use inkwell::{
+    context::Context,
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::{
+    codegen::{
+        types::{
+            structure::{
+                check_struct_type_matches_fields, FieldIndexCounter, StructField, StructFields,
+                StructProxyType,
+            },
+            ProxyType,
+        },
+        values::ndarray::ContiguousNDArrayValue,
+        CodeGenContext, CodeGenerator,
+    },
+    toplevel::numpy::unpack_ndarray_var_tys,
+    typecheck::typedef::Type,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct ContiguousNDArrayType<'ctx> {
+    ty: PointerType<'ctx>,
+    item: BasicTypeEnum<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct ContiguousNDArrayStructFields<'ctx> {
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> ContiguousNDArrayStructFields<'ctx> {
+    #[must_use]
+    pub fn new_typed(item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        let mut counter = FieldIndexCounter::default();
+
+        ContiguousNDArrayStructFields {
+            ndims: StructField::create(&mut counter, "ndims", llvm_usize),
+            shape: StructField::create(
+                &mut counter,
+                "shape",
+                llvm_usize.ptr_type(AddressSpace::default()),
+            ),
+            data: StructField::create(&mut counter, "data", item.ptr_type(AddressSpace::default())),
+        }
+    }
+}
+
+impl<'ctx> ContiguousNDArrayType<'ctx> {
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> ContiguousNDArrayStructFields<'ctx> {
+        ContiguousNDArrayStructFields::new_typed(item, llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of an `NDArray`.
+    #[must_use]
+    fn llvm_type(
+        ctx: &'ctx Context,
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(item, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(ctx: &'ctx Context, item: BasicTypeEnum<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        let llvm_cndarray = Self::llvm_type(ctx, item, llvm_usize);
+
+        Self { ty: llvm_cndarray, item, llvm_usize }
+    }
+
+    /// Creates an instance of [`ContiguousNDArrayType`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>, item: &impl BasicType<'ctx>) -> Self {
+        Self::new_impl(ctx.ctx, item.as_basic_type_enum(), ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`ContiguousNDArrayType`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        item: BasicTypeEnum<'ctx>,
+    ) -> Self {
+        Self::new_impl(ctx, item, generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`ContiguousNDArrayType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        let (dtype, _) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
+
+        let llvm_dtype = ctx.get_llvm_type(generator, dtype);
+
+        Self::new_impl(ctx.ctx, llvm_dtype, ctx.get_size_type())
+    }
+
+    /// Creates an [`ContiguousNDArrayType`] from a [`StructType`] representing an `NDArray`.
+    #[must_use]
+    pub fn from_struct_type(
+        ty: StructType<'ctx>,
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), item, llvm_usize)
+    }
+
+    /// Creates an [`ContiguousNDArrayType`] from a [`PointerType`] representing an `NDArray`.
+    #[must_use]
+    pub fn from_pointer_type(
+        ptr_ty: PointerType<'ctx>,
+        item: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, item, llvm_usize }
+    }
+
+    /// Allocates an instance of [`ContiguousNDArrayValue`] as if by calling `alloca` on the base
+    /// type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`ContiguousNDArrayValue`] as if by calling `alloca` on the base
+    /// type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ContiguousNDArrayValue`].
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ContiguousNDArrayValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            self.item,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for ContiguousNDArrayType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = ContiguousNDArrayValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let llvm_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!(
+                "Expected struct type for `ContiguousNDArray` type, got {llvm_ty}"
+            ));
+        };
+
+        let fields = ContiguousNDArrayStructFields::new(ctx, llvm_usize);
+
+        check_struct_type_matches_fields(
+            fields,
+            llvm_ty,
+            "ContiguousNDArray",
+            &[(fields.data.name(), &|ty| {
+                if ty.is_pointer_type() {
+                    Ok(())
+                } else {
+                    Err(format!("Expected T* for `ContiguousNDArray.data`, got {ty}"))
+                }
+            })],
+        )
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for ContiguousNDArrayType<'ctx> {
+    type StructFields = ContiguousNDArrayStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        Self::fields(self.item, self.llvm_usize)
+    }
+}
+
+impl<'ctx> From<ContiguousNDArrayType<'ctx>> for PointerType<'ctx> {
+    fn from(value: ContiguousNDArrayType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

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

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

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

@@ -0,0 +1,233 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::codegen::{
+    types::{
+        structure::{check_struct_type_matches_fields, StructField, StructFields, StructProxyType},
+        ProxyType,
+    },
+    values::{
+        ndarray::{NDIndexValue, RustNDIndex},
+        ArrayLikeIndexer, ArraySliceValue,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct NDIndexType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDIndexStructFields<'ctx> {
+    #[value_type(i8_type())]
+    pub type_: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> NDIndexType<'ctx> {
+    #[must_use]
+    fn fields(
+        ctx: impl AsContextRef<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> NDIndexStructFields<'ctx> {
+        NDIndexStructFields::new(ctx, llvm_usize)
+    }
+
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> Self {
+        let llvm_ndindex = Self::llvm_type(ctx, llvm_usize);
+
+        Self { ty: llvm_ndindex, llvm_usize }
+    }
+
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>) -> Self {
+        Self::new_impl(ctx.ctx, ctx.get_size_type())
+    }
+
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+    ) -> Self {
+        Self::new_impl(ctx, generator.get_size_type(ctx))
+    }
+
+    #[must_use]
+    pub fn from_struct_type(ty: StructType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), llvm_usize)
+    }
+
+    #[must_use]
+    pub fn from_pointer_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Allocates an instance of [`NDIndexValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+    /// Allocates an instance of [`NDIndexValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Serialize a list of [`RustNDIndex`] as a newly allocated LLVM array of [`NDIndexValue`].
+    #[must_use]
+    pub fn construct_ndindices<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        in_ndindices: &[RustNDIndex<'ctx>],
+    ) -> ArraySliceValue<'ctx> {
+        // Allocate the LLVM ndindices.
+        let num_ndindices = self.llvm_usize.const_int(in_ndindices.len() as u64, false);
+        let ndindices = self.array_alloca_var(generator, ctx, num_ndindices, None);
+
+        // Initialize all of them.
+        for (i, in_ndindex) in in_ndindices.iter().enumerate() {
+            let pndindex = unsafe {
+                ndindices.ptr_offset_unchecked(
+                    ctx,
+                    generator,
+                    &ctx.ctx.i64_type().const_int(u64::try_from(i).unwrap(), false),
+                    None,
+                )
+            };
+
+            in_ndindex.write_to_ndindex(
+                generator,
+                ctx,
+                NDIndexValue::from_pointer_value(pndindex, self.llvm_usize, None),
+            );
+        }
+
+        ndindices
+    }
+
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for NDIndexType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = NDIndexValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let llvm_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!(
+                "Expected struct type for `ContiguousNDArray` type, got {llvm_ty}"
+            ));
+        };
+
+        let fields = NDIndexStructFields::new(ctx, llvm_usize);
+
+        check_struct_type_matches_fields(fields, llvm_ty, "NDIndex", &[])
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for NDIndexType<'ctx> {
+    type StructFields = NDIndexStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        Self::fields(self.ty.get_context(), self.llvm_usize)
+    }
+}
+
+impl<'ctx> From<NDIndexType<'ctx>> for PointerType<'ctx> {
+    fn from(value: NDIndexType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

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

@@ -0,0 +1,183 @@
+use inkwell::{types::BasicTypeEnum, values::BasicValueEnum};
+use itertools::Itertools;
+
+use crate::codegen::{
+    stmt::gen_for_callback,
+    types::{
+        ndarray::{NDArrayType, NDIterType},
+        ProxyType,
+    },
+    values::{
+        ndarray::{NDArrayOut, NDArrayValue, ScalarOrNDArray},
+        ArrayLikeValue, ProxyValue,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Generate LLVM IR to broadcast `ndarray`s together, and starmap through them with `mapping`
+    /// elementwise.
+    ///
+    /// `mapping` is an LLVM IR generator. The input of `mapping` is the list of elements when
+    /// iterating through the input `ndarrays` after broadcasting. The output of `mapping` is the
+    /// result of the elementwise operation.
+    ///
+    /// `out` specifies whether the result should be a new ndarray or to be written an existing
+    /// ndarray.
+    pub fn broadcast_starmap<'a, G, MappingFn>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ndarrays: &[NDArrayValue<'ctx>],
+        out: NDArrayOut<'ctx>,
+        mapping: MappingFn,
+    ) -> Result<<Self as ProxyType<'ctx>>::Value, String>
+    where
+        G: CodeGenerator + ?Sized,
+        MappingFn: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            &[BasicValueEnum<'ctx>],
+        ) -> Result<BasicValueEnum<'ctx>, String>,
+    {
+        // Broadcast inputs
+        let broadcast_result = self.broadcast(generator, ctx, ndarrays);
+
+        let out_ndarray = match out {
+            NDArrayOut::NewNDArray { dtype } => {
+                // Create a new ndarray based on the broadcast shape.
+                let result_ndarray = NDArrayType::new(ctx, dtype, broadcast_result.ndims)
+                    .construct_uninitialized(generator, ctx, None);
+                result_ndarray.copy_shape_from_array(
+                    generator,
+                    ctx,
+                    broadcast_result.shape.base_ptr(ctx, generator),
+                );
+                unsafe {
+                    result_ndarray.create_data(generator, ctx);
+                }
+                result_ndarray
+            }
+
+            NDArrayOut::WriteToNDArray { ndarray: result_ndarray } => {
+                // Use an existing ndarray.
+
+                // Check that its shape is compatible with the broadcast shape.
+                result_ndarray.assert_can_be_written_by_out(generator, ctx, broadcast_result.shape);
+                result_ndarray
+            }
+        };
+
+        // Map element-wise and store results into `mapped_ndarray`.
+        let nditer = NDIterType::new(ctx).construct(generator, ctx, out_ndarray);
+        gen_for_callback(
+            generator,
+            ctx,
+            Some("broadcast_starmap"),
+            |generator, ctx| {
+                // Create NDIters for all broadcasted input ndarrays.
+                let other_nditers = broadcast_result
+                    .ndarrays
+                    .iter()
+                    .map(|ndarray| NDIterType::new(ctx).construct(generator, ctx, *ndarray))
+                    .collect_vec();
+                Ok((nditer, other_nditers))
+            },
+            |_, ctx, (out_nditer, _in_nditers)| {
+                // We can simply use `out_nditer`'s `has_element()`.
+                // `in_nditers`' `has_element()`s should return the same value.
+                Ok(out_nditer.has_element(ctx))
+            },
+            |generator, ctx, _hooks, (out_nditer, in_nditers)| {
+                // Get all the scalars from the broadcasted input ndarrays, pass them to `mapping`,
+                // and write to `out_ndarray`.
+                let in_scalars =
+                    in_nditers.iter().map(|nditer| nditer.get_scalar(ctx)).collect_vec();
+
+                let result = mapping(generator, ctx, &in_scalars)?;
+
+                let p = out_nditer.get_pointer(ctx);
+                ctx.builder.build_store(p, result).unwrap();
+
+                Ok(())
+            },
+            |_, ctx, (out_nditer, in_nditers)| {
+                // Advance all iterators
+                out_nditer.next(ctx);
+                in_nditers.iter().for_each(|nditer| nditer.next(ctx));
+                Ok(())
+            },
+        )?;
+
+        Ok(out_ndarray)
+    }
+}
+
+impl<'ctx> ScalarOrNDArray<'ctx> {
+    /// Starmap through a list of inputs using `mapping`, where an input could be an ndarray, a
+    /// scalar.
+    ///
+    /// This function is very helpful when implementing NumPy functions that takes on either scalars
+    /// or ndarrays or a mix of them as their inputs and produces either an ndarray with broadcast,
+    /// or a scalar if all its inputs are all scalars.
+    ///
+    /// For example ,this function can be used to implement `np.add`, which has the following
+    /// behaviors:
+    ///
+    /// - `np.add(3, 4) = 7` # (scalar, scalar) -> scalar
+    /// - `np.add(3, np.array([4, 5, 6]))` # (scalar, ndarray) -> ndarray; the first `scalar` is
+    ///   converted into an ndarray and broadcasted.
+    /// - `np.add(np.array([[1], [2], [3]]), np.array([[4, 5, 6]]))` # (ndarray, ndarray) ->
+    ///   ndarray; there is broadcasting.
+    ///
+    /// ## Details:
+    ///
+    /// If `inputs` are all [`ScalarOrNDArray::Scalar`], the output will be a
+    /// [`ScalarOrNDArray::Scalar`] with type `ret_dtype`.
+    ///
+    /// Otherwise (if there are any [`ScalarOrNDArray::NDArray`] in `inputs`), all inputs will be
+    /// 'as-ndarray'-ed into ndarrays, then all inputs (now all ndarrays) will be passed to
+    /// [`NDArrayValue::broadcasting_starmap`] and **create** a new ndarray with dtype `ret_dtype`.
+    pub fn broadcasting_starmap<'a, G, MappingFn>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        inputs: &[ScalarOrNDArray<'ctx>],
+        ret_dtype: BasicTypeEnum<'ctx>,
+        mapping: MappingFn,
+    ) -> Result<ScalarOrNDArray<'ctx>, String>
+    where
+        G: CodeGenerator + ?Sized,
+        MappingFn: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            &[BasicValueEnum<'ctx>],
+        ) -> Result<BasicValueEnum<'ctx>, String>,
+    {
+        // Check if all inputs are Scalars
+        let all_scalars: Option<Vec<_>> =
+            inputs.iter().map(BasicValueEnum::<'ctx>::try_from).try_collect().ok();
+
+        if let Some(scalars) = all_scalars {
+            let scalars = scalars.iter().copied().collect_vec();
+            let value = mapping(generator, ctx, &scalars)?;
+
+            Ok(ScalarOrNDArray::Scalar(value))
+        } else {
+            // Promote all input to ndarrays and map through them.
+            let inputs = inputs.iter().map(|input| input.to_ndarray(generator, ctx)).collect_vec();
+            let ndarray = NDArrayType::new_broadcast(
+                ctx,
+                ret_dtype,
+                &inputs.iter().map(NDArrayValue::get_type).collect_vec(),
+            )
+            .broadcast_starmap(
+                generator,
+                ctx,
+                &inputs,
+                NDArrayOut::NewNDArray { dtype: ret_dtype },
+                mapping,
+            )?;
+            Ok(ScalarOrNDArray::NDArray(ndarray))
+        }
+    }
+}

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

@@ -0,0 +1,510 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{BasicValue, IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use super::{
+    structure::{check_struct_type_matches_fields, StructField, StructFields, StructProxyType},
+    ProxyType,
+};
+use crate::{
+    codegen::{
+        values::{ndarray::NDArrayValue, TypedArrayLikeMutator},
+        {CodeGenContext, CodeGenerator},
+    },
+    toplevel::{helper::extract_ndims, numpy::unpack_ndarray_var_tys},
+    typecheck::typedef::Type,
+};
+pub use broadcast::*;
+pub use contiguous::*;
+pub use indexing::*;
+pub use nditer::*;
+
+mod array;
+mod broadcast;
+mod contiguous;
+pub mod factory;
+mod indexing;
+mod map;
+mod nditer;
+
+/// Proxy type for a `ndarray` type in LLVM.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct NDArrayType<'ctx> {
+    ty: PointerType<'ctx>,
+    dtype: BasicTypeEnum<'ctx>,
+    ndims: u64,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDArrayStructFields<'ctx> {
+    /// The size of each `NDArray` element in bytes.
+    #[value_type(usize)]
+    pub itemsize: StructField<'ctx, IntValue<'ctx>>,
+    /// Number of dimensions in the array.
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    /// Pointer to an array containing the shape of the `NDArray`.
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+    /// Pointer to an array indicating the number of bytes between each element at a dimension
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub strides: StructField<'ctx, PointerValue<'ctx>>,
+    /// Pointer to an array containing the array data
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub data: StructField<'ctx, PointerValue<'ctx>>,
+}
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(
+        ctx: impl AsContextRef<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> NDArrayStructFields<'ctx> {
+        NDArrayStructFields::new(ctx, llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of an `NDArray`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+        ndims: u64,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        let llvm_ndarray = Self::llvm_type(ctx, llvm_usize);
+
+        NDArrayType { ty: llvm_ndarray, dtype, ndims, llvm_usize }
+    }
+
+    /// Creates an instance of [`NDArrayType`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>, dtype: BasicTypeEnum<'ctx>, ndims: u64) -> Self {
+        Self::new_impl(ctx.ctx, dtype, ndims, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`NDArrayType`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+        ndims: u64,
+    ) -> Self {
+        Self::new_impl(ctx, dtype, ndims, generator.get_size_type(ctx))
+    }
+
+    /// Creates an instance of [`NDArrayType`] as a result of a broadcast operation over one or more
+    /// `ndarray` operands.
+    #[must_use]
+    pub fn new_broadcast(
+        ctx: &CodeGenContext<'ctx, '_>,
+        dtype: BasicTypeEnum<'ctx>,
+        inputs: &[NDArrayType<'ctx>],
+    ) -> Self {
+        assert!(!inputs.is_empty());
+
+        Self::new_impl(
+            ctx.ctx,
+            dtype,
+            inputs.iter().map(NDArrayType::ndims).max().unwrap(),
+            ctx.get_size_type(),
+        )
+    }
+
+    /// Creates an instance of [`NDArrayType`] as a result of a broadcast operation over one or more
+    /// `ndarray` operands.
+    #[must_use]
+    pub fn new_broadcast_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+        inputs: &[NDArrayType<'ctx>],
+    ) -> Self {
+        assert!(!inputs.is_empty());
+
+        Self::new_impl(
+            ctx,
+            dtype,
+            inputs.iter().map(NDArrayType::ndims).max().unwrap(),
+            generator.get_size_type(ctx),
+        )
+    }
+
+    /// Creates an instance of [`NDArrayType`] with `ndims` of 0.
+    #[must_use]
+    pub fn new_unsized(ctx: &CodeGenContext<'ctx, '_>, dtype: BasicTypeEnum<'ctx>) -> Self {
+        Self::new_impl(ctx.ctx, dtype, 0, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`NDArrayType`] with `ndims` of 0.
+    #[must_use]
+    pub fn new_unsized_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        dtype: BasicTypeEnum<'ctx>,
+    ) -> Self {
+        Self::new_impl(ctx, dtype, 0, generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`NDArrayType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        let (dtype, ndims) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
+
+        let llvm_dtype = ctx.get_llvm_type(generator, dtype);
+        let ndims = extract_ndims(&ctx.unifier, ndims);
+
+        Self::new_impl(ctx.ctx, llvm_dtype, ndims, ctx.get_size_type())
+    }
+
+    /// Creates an [`NDArrayType`] from a [`StructType`] representing an `NDArray`.
+    #[must_use]
+    pub fn from_struct_type(
+        ty: StructType<'ctx>,
+        dtype: BasicTypeEnum<'ctx>,
+        ndims: u64,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), dtype, ndims, llvm_usize)
+    }
+
+    /// Creates an [`NDArrayType`] from a [`PointerType`] representing an `NDArray`.
+    #[must_use]
+    pub fn from_pointer_type(
+        ptr_ty: PointerType<'ctx>,
+        dtype: BasicTypeEnum<'ctx>,
+        ndims: u64,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        NDArrayType { ty: ptr_ty, dtype, ndims, llvm_usize }
+    }
+
+    /// Returns the type of the `size` field of this `ndarray` type.
+    #[must_use]
+    pub fn size_type(&self) -> IntType<'ctx> {
+        self.llvm_usize
+    }
+
+    /// Returns the element type of this `ndarray` type.
+    #[must_use]
+    pub fn element_type(&self) -> BasicTypeEnum<'ctx> {
+        self.dtype
+    }
+
+    /// Returns the number of dimensions of this `ndarray` type.
+    #[must_use]
+    pub fn ndims(&self) -> u64 {
+        self.ndims
+    }
+
+    /// Allocates an instance of [`NDArrayValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`NDArrayValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an [`NDArrayValue`] on the stack and initializes all fields as follows:
+    ///
+    /// - `data`: uninitialized.
+    /// - `itemsize`: set to the size of `self.dtype`.
+    /// - `ndims`: set to the value of  `ndims`.
+    /// - `shape`: allocated on the stack with an array of length `ndims` with uninitialized values.
+    /// - `strides`: allocated on the stack with an array of length `ndims` with uninitialized
+    ///   values.
+    #[must_use]
+    fn construct_impl<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndims: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let ndarray = self.alloca_var(generator, ctx, name);
+
+        let itemsize = ctx
+            .builder
+            .build_int_truncate_or_bit_cast(self.dtype.size_of().unwrap(), self.llvm_usize, "")
+            .unwrap();
+        ndarray.store_itemsize(ctx, itemsize);
+
+        ndarray.store_ndims(ctx, ndims);
+
+        ndarray.create_shape(ctx, self.llvm_usize, ndims);
+        ndarray.create_strides(ctx, self.llvm_usize, ndims);
+
+        ndarray
+    }
+
+    /// Allocate an [`NDArrayValue`] on the stack using `dtype` and `ndims` of this [`NDArrayType`]
+    /// instance.
+    ///
+    /// The returned ndarray's content will be:
+    /// - `data`: uninitialized.
+    /// - `itemsize`: set to the size of `dtype`.
+    /// - `ndims`: set to the value of `self.ndims`.
+    /// - `shape`: allocated on the stack with an array of length `ndims` with uninitialized values.
+    /// - `strides`: allocated on the stack with an array of length `ndims` with uninitialized
+    ///   values.
+    #[must_use]
+    pub fn construct_uninitialized<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let ndims = self.llvm_usize.const_int(self.ndims, false);
+
+        self.construct_impl(generator, ctx, ndims, name)
+    }
+
+    /// Convenience function. Allocate an [`NDArrayValue`] with a statically known shape.
+    ///
+    /// The returned [`NDArrayValue`]'s `data` and `strides` are uninitialized.
+    #[must_use]
+    pub fn construct_const_shape<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        shape: &[u64],
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(shape.len() as u64, self.ndims);
+
+        let ndarray = Self::new(ctx, self.dtype, shape.len() as u64)
+            .construct_uninitialized(generator, ctx, name);
+
+        let llvm_usize = ctx.get_size_type();
+
+        // Write shape
+        let ndarray_shape = ndarray.shape();
+        for (i, dim) in shape.iter().enumerate() {
+            let dim = llvm_usize.const_int(*dim, false);
+            unsafe {
+                ndarray_shape.set_typed_unchecked(
+                    ctx,
+                    generator,
+                    &llvm_usize.const_int(i as u64, false),
+                    dim,
+                );
+            }
+        }
+
+        ndarray
+    }
+
+    /// Convenience function. Allocate an [`NDArrayValue`] with a dynamically known shape.
+    ///
+    /// The returned [`NDArrayValue`]'s `data` and `strides` are uninitialized.
+    #[must_use]
+    pub fn construct_dyn_shape<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        shape: &[IntValue<'ctx>],
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        assert_eq!(shape.len() as u64, self.ndims);
+
+        let ndarray = Self::new(ctx, self.dtype, shape.len() as u64)
+            .construct_uninitialized(generator, ctx, name);
+
+        let llvm_usize = ctx.get_size_type();
+
+        // Write shape
+        let ndarray_shape = ndarray.shape();
+        for (i, dim) in shape.iter().enumerate() {
+            assert_eq!(
+                dim.get_type(),
+                llvm_usize,
+                "Expected {} but got {}",
+                llvm_usize.print_to_string(),
+                dim.get_type().print_to_string()
+            );
+            unsafe {
+                ndarray_shape.set_typed_unchecked(
+                    ctx,
+                    generator,
+                    &llvm_usize.const_int(i as u64, false),
+                    *dim,
+                );
+            }
+        }
+
+        ndarray
+    }
+
+    /// Create an unsized ndarray to contain `value`.
+    #[must_use]
+    pub fn construct_unsized<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: &impl BasicValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> NDArrayValue<'ctx> {
+        let value = value.as_basic_value_enum();
+
+        assert_eq!(value.get_type(), self.dtype);
+        assert_eq!(self.ndims, 0);
+
+        // We have to put the value on the stack to get a data pointer.
+        let data = ctx.builder.build_alloca(value.get_type(), "construct_unsized").unwrap();
+        ctx.builder.build_store(data, value).unwrap();
+        let data = ctx
+            .builder
+            .build_pointer_cast(data, ctx.ctx.i8_type().ptr_type(AddressSpace::default()), "")
+            .unwrap();
+
+        let ndarray =
+            Self::new_unsized(ctx, value.get_type()).construct_uninitialized(generator, ctx, name);
+        ctx.builder.build_store(ndarray.ptr_to_data(ctx), data).unwrap();
+        ndarray
+    }
+
+    /// Converts an existing value into a [`NDArrayValue`].
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`NDArrayValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            self.dtype,
+            self.ndims,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for NDArrayType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = NDArrayValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let llvm_ndarray_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ndarray_ty) = llvm_ndarray_ty else {
+            return Err(format!("Expected struct type for `NDArray` type, got {llvm_ndarray_ty}"));
+        };
+
+        check_struct_type_matches_fields(
+            Self::fields(ctx, llvm_usize),
+            llvm_ndarray_ty,
+            "NDArray",
+            &[],
+        )
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for NDArrayType<'ctx> {
+    type StructFields = NDArrayStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        Self::fields(self.ty.get_context(), self.llvm_usize)
+    }
+}
+
+impl<'ctx> From<NDArrayType<'ctx>> for PointerType<'ctx> {
+    fn from(value: NDArrayType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

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

@@ -0,0 +1,267 @@
+use inkwell::{
+    context::{AsContextRef, Context},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use super::ProxyType;
+use crate::codegen::{
+    irrt,
+    types::structure::{
+        check_struct_type_matches_fields, StructField, StructFields, StructProxyType,
+    },
+    values::{
+        ndarray::{NDArrayValue, NDIterValue},
+        ArrayLikeValue, ArraySliceValue, ProxyValue, TypedArrayLikeAdapter,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct NDIterType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct NDIterStructFields<'ctx> {
+    #[value_type(usize)]
+    pub ndims: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub shape: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub strides: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize.ptr_type(AddressSpace::default()))]
+    pub indices: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    pub nth: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(i8_type().ptr_type(AddressSpace::default()))]
+    pub element: StructField<'ctx, PointerValue<'ctx>>,
+    #[value_type(usize)]
+    pub size: StructField<'ctx, IntValue<'ctx>>,
+}
+
+impl<'ctx> NDIterType<'ctx> {
+    /// Returns an instance of [`StructFields`] containing all field accessors for this type.
+    #[must_use]
+    fn fields(ctx: impl AsContextRef<'ctx>, llvm_usize: IntType<'ctx>) -> NDIterStructFields<'ctx> {
+        NDIterStructFields::new(ctx, llvm_usize)
+    }
+
+    /// Creates an LLVM type corresponding to the expected structure of an `NDIter`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys =
+            Self::fields(ctx, llvm_usize).into_iter().map(|field| field.1).collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> Self {
+        let llvm_nditer = Self::llvm_type(ctx, llvm_usize);
+
+        Self { ty: llvm_nditer, llvm_usize }
+    }
+
+    /// Creates an instance of [`NDIter`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>) -> Self {
+        Self::new_impl(ctx.ctx, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`NDIter`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+    ) -> Self {
+        Self::new_impl(ctx, generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`NDIterType`] from a [`StructType`] representing an `NDIter`.
+    #[must_use]
+    pub fn from_struct_type(ty: StructType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), llvm_usize)
+    }
+
+    /// Creates an [`NDIterType`] from a [`PointerType`] representing an `NDIter`.
+    #[must_use]
+    pub fn from_pointer_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        Self { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Returns the type of the `size` field of this `nditer` type.
+    #[must_use]
+    pub fn size_type(&self) -> IntType<'ctx> {
+        self.llvm_usize
+    }
+
+    /// Allocates an instance of [`NDIterValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`NDIterValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocate an [`NDIter`] that iterates through the given `ndarray`.
+    #[must_use]
+    pub fn construct<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndarray: NDArrayValue<'ctx>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let nditer = self.raw_alloca_var(generator, ctx, None);
+        let ndims = self.llvm_usize.const_int(ndarray.get_type().ndims(), false);
+
+        // The caller has the responsibility to allocate 'indices' for `NDIter`.
+        let indices =
+            generator.gen_array_var_alloc(ctx, self.llvm_usize.into(), ndims, None).unwrap();
+        let indices =
+            TypedArrayLikeAdapter::from(indices, |_, _, v| v.into_int_value(), |_, _, v| v.into());
+
+        let nditer =
+            self.map_pointer_value(nditer, ndarray, indices.as_slice_value(ctx, generator), None);
+
+        irrt::ndarray::call_nac3_nditer_initialize(generator, ctx, nditer, ndarray, &indices);
+
+        nditer
+    }
+
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        parent: NDArrayValue<'ctx>,
+        indices: ArraySliceValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            parent,
+            indices,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for NDIterType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = NDIterValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let llvm_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ndarray_ty) = llvm_ty else {
+            return Err(format!("Expected struct type for `NDIter` type, got {llvm_ty}"));
+        };
+
+        check_struct_type_matches_fields(
+            Self::fields(ctx, llvm_usize),
+            llvm_ndarray_ty,
+            "NDIter",
+            &[],
+        )
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for NDIterType<'ctx> {
+    type StructFields = NDIterStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        Self::fields(self.ty.get_context(), self.llvm_usize)
+    }
+}
+
+impl<'ctx> From<NDIterType<'ctx>> for PointerType<'ctx> {
+    fn from(value: NDIterType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/range.rs

@@ -0,0 +1,208 @@
+use inkwell::{
+    context::Context,
+    types::{AnyTypeEnum, ArrayType, BasicType, BasicTypeEnum, IntType, PointerType},
+    values::{ArrayValue, PointerValue},
+    AddressSpace,
+};
+
+use super::ProxyType;
+use crate::{
+    codegen::{
+        values::RangeValue,
+        {CodeGenContext, CodeGenerator},
+    },
+    typecheck::typedef::{Type, TypeEnum},
+};
+
+/// Proxy type for a `range` type in LLVM.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct RangeType<'ctx> {
+    ty: PointerType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+impl<'ctx> RangeType<'ctx> {
+    /// Creates an LLVM type corresponding to the expected structure of a `Range`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context) -> PointerType<'ctx> {
+        // typedef int32_t Range[3];
+        let llvm_i32 = ctx.i32_type();
+        llvm_i32.array_type(3).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(ctx: &'ctx Context, llvm_usize: IntType<'ctx>) -> Self {
+        let llvm_range = Self::llvm_type(ctx);
+
+        RangeType { ty: llvm_range, llvm_usize }
+    }
+
+    /// Creates an instance of [`RangeType`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>) -> Self {
+        Self::new_impl(ctx.ctx, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`RangeType`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+    ) -> Self {
+        Self::new_impl(ctx, generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`RangeType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type(ctx: &mut CodeGenContext<'ctx, '_>, ty: Type) -> Self {
+        // Check unifier type
+        assert!(
+            matches!(&*ctx.unifier.get_ty_immutable(ty), TypeEnum::TObj { obj_id, .. } if *obj_id == ctx.primitives.range.obj_id(&ctx.unifier).unwrap())
+        );
+
+        Self::new(ctx)
+    }
+
+    /// Creates an [`RangeType`] from a [`ArrayType`].
+    #[must_use]
+    pub fn from_array_type(arr_ty: ArrayType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        Self::from_pointer_type(arr_ty.ptr_type(AddressSpace::default()), llvm_usize)
+    }
+
+    /// Creates an [`RangeType`] from a [`PointerType`].
+    #[must_use]
+    pub fn from_pointer_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, llvm_usize).is_ok());
+
+        RangeType { ty: ptr_ty, llvm_usize }
+    }
+
+    /// Returns the type of all fields of this `range` type.
+    #[must_use]
+    pub fn value_type(&self) -> IntType<'ctx> {
+        self.as_abi_type().get_element_type().into_array_type().get_element_type().into_int_type()
+    }
+
+    /// Allocates an instance of [`RangeValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`RangeValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`RangeValue`].
+    #[must_use]
+    pub fn map_array_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: ArrayValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_array_value(
+            generator,
+            ctx,
+            value,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`RangeValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for RangeType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = RangeValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, _: IntType<'ctx>) -> Result<(), String> {
+        let llvm_range_ty = ty.get_element_type();
+        let AnyTypeEnum::ArrayType(llvm_range_ty) = llvm_range_ty else {
+            return Err(format!("Expected array type for `range` type, got {llvm_range_ty}"));
+        };
+        if llvm_range_ty.len() != 3 {
+            return Err(format!(
+                "Expected 3 elements for `range` type, got {}",
+                llvm_range_ty.len()
+            ));
+        }
+
+        let llvm_range_elem_ty = llvm_range_ty.get_element_type();
+        let Ok(llvm_range_elem_ty) = IntType::try_from(llvm_range_elem_ty) else {
+            return Err(format!(
+                "Expected int type for `range` element type, got {llvm_range_elem_ty}"
+            ));
+        };
+        if llvm_range_elem_ty.get_bit_width() != 32 {
+            return Err(format!(
+                "Expected 32-bit int type for `range` element type, got {}",
+                llvm_range_elem_ty.get_bit_width()
+            ));
+        }
+
+        Ok(())
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> From<RangeType<'ctx>> for PointerType<'ctx> {
+    fn from(value: RangeType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/types/structure.rs

@@ -0,0 +1,333 @@
+use std::marker::PhantomData;
+
+use inkwell::{
+    context::AsContextRef,
+    types::{BasicTypeEnum, IntType, PointerType, StructType},
+    values::{AggregateValueEnum, BasicValue, BasicValueEnum, IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use super::ProxyType;
+use crate::codegen::CodeGenContext;
+
+/// A LLVM type that is used to represent a corresponding structure-like type in NAC3.
+pub trait StructProxyType<'ctx>: ProxyType<'ctx, Base = PointerType<'ctx>> {
+    /// The concrete type of [`StructFields`].
+    type StructFields: StructFields<'ctx>;
+
+    /// Whether this [`StructProxyType`] has the same LLVM type representation as
+    /// [`llvm_ty`][StructType].
+    fn has_same_struct_repr(
+        llvm_ty: StructType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        Self::has_same_pointer_repr(llvm_ty.ptr_type(AddressSpace::default()), llvm_usize)
+    }
+
+    /// Whether this [`StructProxyType`] has the same LLVM type representation as
+    /// [`llvm_ty`][PointerType].
+    fn has_same_pointer_repr(
+        llvm_ty: PointerType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        Self::has_same_repr(llvm_ty, llvm_usize)
+    }
+
+    /// Returns the fields present in this [`StructProxyType`].
+    #[must_use]
+    fn get_fields(&self) -> Self::StructFields;
+
+    /// Returns the [`StructType`].
+    #[must_use]
+    fn get_struct_type(&self) -> StructType<'ctx> {
+        self.as_base_type().get_element_type().into_struct_type()
+    }
+
+    /// Returns the [`PointerType`] representing this type.
+    #[must_use]
+    fn get_pointer_type(&self) -> PointerType<'ctx> {
+        self.as_base_type()
+    }
+}
+
+/// Trait indicating that the structure is a field-wise representation of an LLVM structure.
+///
+/// # Usage
+///
+/// For example, for a simple C-slice LLVM structure:
+///
+/// ```ignore
+/// struct CSliceFields<'ctx> {
+///     ptr: StructField<'ctx, PointerValue<'ctx>>,
+///     len: StructField<'ctx, IntValue<'ctx>>
+/// }
+/// ```
+pub trait StructFields<'ctx>: Eq + Copy {
+    /// Creates an instance of [`StructFields`] using the given `ctx` and `size_t` types.
+    fn new(ctx: impl AsContextRef<'ctx>, llvm_usize: IntType<'ctx>) -> Self;
+
+    /// Returns a [`Vec`] that contains the fields of the structure in the order as they appear in
+    /// the type definition.
+    #[must_use]
+    fn to_vec(&self) -> Vec<(&'static str, BasicTypeEnum<'ctx>)>;
+
+    /// Returns a [`Iterator`] that contains the fields of the structure in the order as they appear
+    /// in the type definition.
+    #[must_use]
+    fn iter(&self) -> impl Iterator<Item = (&'static str, BasicTypeEnum<'ctx>)> {
+        self.to_vec().into_iter()
+    }
+
+    /// Returns a [`Vec`] that contains the fields of the structure in the order as they appear in
+    /// the type definition.
+    #[must_use]
+    fn into_vec(self) -> Vec<(&'static str, BasicTypeEnum<'ctx>)>
+    where
+        Self: Sized,
+    {
+        self.to_vec()
+    }
+
+    /// Returns a [`Iterator`] that contains the fields of the structure in the order as they appear
+    /// in the type definition.
+    #[must_use]
+    fn into_iter(self) -> impl Iterator<Item = (&'static str, BasicTypeEnum<'ctx>)>
+    where
+        Self: Sized,
+    {
+        self.into_vec().into_iter()
+    }
+
+    /// Returns the field index of a field in this structure.
+    fn index_of_field<V>(&self, name: impl FnOnce(&Self) -> StructField<'ctx, V>) -> u32
+    where
+        V: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+    {
+        let field_name = name(self).name;
+        self.index_of_field_name(field_name).unwrap()
+    }
+
+    /// Returns the field index of a field with the given name in this structure.
+    fn index_of_field_name(&self, field_name: &str) -> Option<u32> {
+        self.iter().find_position(|(name, _)| *name == field_name).map(|(idx, _)| idx as u32)
+    }
+}
+
+/// A single field of an LLVM structure.
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct StructField<'ctx, Value>
+where
+    Value: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+{
+    /// The index of this field within the structure.
+    index: u32,
+
+    /// The name of this field.
+    name: &'static str,
+
+    /// The type of this field.
+    ty: BasicTypeEnum<'ctx>,
+
+    /// Instance of [`PhantomData`] containing [`Value`], used to implement automatic downcasts.
+    _value_ty: PhantomData<Value>,
+}
+
+impl<'ctx, Value> StructField<'ctx, Value>
+where
+    Value: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+{
+    /// Creates an instance of [`StructField`].
+    ///
+    /// * `idx_counter` - The instance of [`FieldIndexCounter`] used to track the current field
+    ///   index.
+    /// * `name` - Name of the field.
+    /// * `ty` - The type of this field.
+    pub fn create(
+        idx_counter: &mut FieldIndexCounter,
+        name: &'static str,
+        ty: impl Into<BasicTypeEnum<'ctx>>,
+    ) -> Self {
+        StructField { index: idx_counter.increment(), name, ty: ty.into(), _value_ty: PhantomData }
+    }
+
+    /// Creates an instance of [`StructField`] with a given index.
+    ///
+    /// * `index` - The index of this field within its enclosing structure.
+    /// * `name` - Name of the field.
+    /// * `ty` - The type of this field.
+    pub fn create_at(index: u32, name: &'static str, ty: impl Into<BasicTypeEnum<'ctx>>) -> Self {
+        StructField { index, name, ty: ty.into(), _value_ty: PhantomData }
+    }
+
+    /// Returns the name of this field.
+    #[must_use]
+    pub fn name(&self) -> &'static str {
+        self.name
+    }
+
+    /// Creates a pointer to this field in an arbitrary structure by performing a `getelementptr i32
+    /// {idx...}, i32 {self.index}`.
+    pub fn ptr_by_array_gep(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        idx: &[IntValue<'ctx>],
+    ) -> PointerValue<'ctx> {
+        unsafe {
+            ctx.builder.build_in_bounds_gep(
+                pobj,
+                &[idx, &[ctx.ctx.i32_type().const_int(u64::from(self.index), false)]].concat(),
+                "",
+            )
+        }
+        .unwrap()
+    }
+
+    /// Creates a pointer to this field in an arbitrary structure by performing the equivalent of
+    /// `getelementptr i32 0, i32 {self.index}`.
+    pub fn ptr_by_gep(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        obj_name: Option<&'ctx str>,
+    ) -> PointerValue<'ctx> {
+        ctx.builder
+            .build_struct_gep(
+                pobj,
+                self.index,
+                &obj_name.map(|name| format!("{name}.{}.addr", self.name)).unwrap_or_default(),
+            )
+            .unwrap()
+    }
+
+    /// Gets the value of this field for a given `obj`.
+    #[must_use]
+    pub fn extract_value(&self, ctx: &CodeGenContext<'ctx, '_>, obj: StructValue<'ctx>) -> Value {
+        Value::try_from(
+            ctx.builder
+                .build_extract_value(
+                    obj,
+                    self.index,
+                    &format!("{}.{}", obj.get_name().to_str().unwrap(), self.name),
+                )
+                .unwrap(),
+        )
+        .unwrap()
+    }
+
+    /// Sets the value of this field for a given `obj`.
+    #[must_use]
+    pub fn insert_value(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        obj: StructValue<'ctx>,
+        value: Value,
+    ) -> StructValue<'ctx> {
+        let obj_name = obj.get_name().to_str().unwrap();
+        let new_obj_name = if obj_name.chars().all(char::is_numeric) { "" } else { obj_name };
+
+        ctx.builder
+            .build_insert_value(obj, value, self.index, new_obj_name)
+            .map(AggregateValueEnum::into_struct_value)
+            .unwrap()
+    }
+
+    /// Loads the value of this field for a pointer-to-structure.
+    pub fn load(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        obj_name: Option<&'ctx str>,
+    ) -> Value {
+        ctx.builder
+            .build_load(
+                self.ptr_by_gep(ctx, pobj, obj_name),
+                &obj_name.map(|name| format!("{name}.{}", self.name)).unwrap_or_default(),
+            )
+            .map_err(|_| ())
+            .and_then(|value| Value::try_from(value))
+            .unwrap()
+    }
+
+    /// Stores the value of this field for a pointer-to-structure.
+    pub fn store(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        pobj: PointerValue<'ctx>,
+        value: Value,
+        obj_name: Option<&'ctx str>,
+    ) {
+        ctx.builder.build_store(self.ptr_by_gep(ctx, pobj, obj_name), value).unwrap();
+    }
+}
+
+impl<'ctx, Value> From<StructField<'ctx, Value>> for (&'static str, BasicTypeEnum<'ctx>)
+where
+    Value: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>, Error = ()>,
+{
+    fn from(value: StructField<'ctx, Value>) -> Self {
+        (value.name, value.ty)
+    }
+}
+
+/// A counter that tracks the next index of a field using a monotonically increasing counter.
+#[derive(Default, Debug, PartialEq, Eq, Clone, Copy)]
+pub struct FieldIndexCounter(u32);
+
+impl FieldIndexCounter {
+    /// Increments the number stored by this counter, returning the previous value.
+    ///
+    /// Functionally equivalent to `i++` in C-based languages.
+    pub fn increment(&mut self) -> u32 {
+        let v = self.0;
+        self.0 += 1;
+        v
+    }
+}
+
+type FieldTypeVerifier<'ctx> = dyn Fn(BasicTypeEnum<'ctx>) -> Result<(), String>;
+
+/// Checks whether [`llvm_ty`][StructType] contains the fields described by the given
+/// [`StructFields`] instance.
+///
+/// By default, this function will compare the type of each field in `expected_fields` against
+/// `llvm_ty`. To override this behavior for individual fields, pass in overrides to
+/// `custom_verifiers`, which will use the specified verifier when a field with the matching field
+/// name is being checked.
+pub(super) fn check_struct_type_matches_fields<'ctx>(
+    expected_fields: impl StructFields<'ctx>,
+    llvm_ty: StructType<'ctx>,
+    ty_name: &'static str,
+    custom_verifiers: &[(&str, &FieldTypeVerifier<'ctx>)],
+) -> Result<(), String> {
+    let expected_fields = expected_fields.to_vec();
+
+    if llvm_ty.count_fields() != u32::try_from(expected_fields.len()).unwrap() {
+        return Err(format!(
+            "Expected {} fields in `{ty_name}`, got {}",
+            expected_fields.len(),
+            llvm_ty.count_fields(),
+        ));
+    }
+
+    expected_fields
+        .into_iter()
+        .enumerate()
+        .map(|(i, (field_name, expected_ty))| {
+            (field_name, expected_ty, llvm_ty.get_field_type_at_index(i as u32).unwrap())
+        })
+        .try_for_each(|(field_name, expected_ty, actual_ty)| {
+            if let Some((_, verifier)) =
+                custom_verifiers.iter().find(|verifier| verifier.0 == field_name)
+            {
+                verifier(actual_ty)
+            } else if expected_ty == actual_ty {
+                Ok(())
+            } else {
+                Err(format!("Expected {expected_ty} for `{ty_name}.{field_name}`, got {actual_ty}"))
+            }
+        })?;
+
+    Ok(())
+}

nac3core/src/codegen/types/tuple.rs

@@ -0,0 +1,213 @@
+use inkwell::{
+    context::Context,
+    types::{BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{BasicValueEnum, PointerValue, StructValue},
+};
+use itertools::Itertools;
+
+use super::ProxyType;
+use crate::{
+    codegen::{values::TupleValue, CodeGenContext, CodeGenerator},
+    typecheck::typedef::{Type, TypeEnum},
+};
+
+#[derive(Debug, PartialEq, Eq, Clone)]
+pub struct TupleType<'ctx> {
+    ty: StructType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+impl<'ctx> TupleType<'ctx> {
+    /// Creates an LLVM type corresponding to the expected structure of a tuple.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, tys: &[BasicTypeEnum<'ctx>]) -> StructType<'ctx> {
+        ctx.struct_type(tys, false)
+    }
+
+    fn new_impl(
+        ctx: &'ctx Context,
+        tys: &[BasicTypeEnum<'ctx>],
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        let llvm_tuple = Self::llvm_type(ctx, tys);
+
+        Self { ty: llvm_tuple, llvm_usize }
+    }
+
+    /// Creates an instance of [`TupleType`].
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>, tys: &[impl BasicType<'ctx>]) -> Self {
+        Self::new_impl(
+            ctx.ctx,
+            &tys.iter().map(BasicType::as_basic_type_enum).collect_vec(),
+            ctx.get_size_type(),
+        )
+    }
+
+    /// Creates an instance of [`TupleType`].
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        tys: &[BasicTypeEnum<'ctx>],
+    ) -> Self {
+        Self::new_impl(ctx, tys, generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`TupleType`] from a [unifier type][Type].
+    #[must_use]
+    pub fn from_unifier_type<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ty: Type,
+    ) -> Self {
+        let llvm_usize = ctx.get_size_type();
+
+        // Sanity check on object type.
+        let TypeEnum::TTuple { ty: tys, .. } = &*ctx.unifier.get_ty_immutable(ty) else {
+            panic!("Expected type to be a TypeEnum::TTuple, got {}", ctx.unifier.stringify(ty));
+        };
+
+        let llvm_tys = tys.iter().map(|ty| ctx.get_llvm_type(generator, *ty)).collect_vec();
+        Self { ty: Self::llvm_type(ctx.ctx, &llvm_tys), llvm_usize }
+    }
+
+    /// Creates an [`TupleType`] from a [`StructType`].
+    #[must_use]
+    pub fn from_struct_type(struct_ty: StructType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        debug_assert!(Self::has_same_repr(struct_ty, llvm_usize).is_ok());
+
+        TupleType { ty: struct_ty, llvm_usize }
+    }
+
+    /// Creates an [`TupleType`] from a [`PointerType`].
+    #[must_use]
+    pub fn from_pointer_type(ptr_ty: PointerType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        Self::from_struct_type(ptr_ty.get_element_type().into_struct_type(), llvm_usize)
+    }
+
+    /// Returns the number of elements present in this [`TupleType`].
+    #[must_use]
+    pub fn num_elements(&self) -> u32 {
+        self.ty.count_fields()
+    }
+
+    /// Returns the type of the tuple element at the given `index`, or [`None`] if `index` is out of
+    /// range.
+    #[must_use]
+    pub fn type_at_index(&self, index: u32) -> Option<BasicTypeEnum<'ctx>> {
+        if index < self.num_elements() {
+            Some(unsafe { self.type_at_index_unchecked(index) })
+        } else {
+            None
+        }
+    }
+
+    /// Returns the type of the tuple element at the given `index`.
+    ///
+    /// # Safety
+    ///
+    /// The caller must ensure that the index is valid.
+    #[must_use]
+    pub unsafe fn type_at_index_unchecked(&self, index: u32) -> BasicTypeEnum<'ctx> {
+        self.ty.get_field_type_at_index_unchecked(index)
+    }
+
+    /// Constructs a [`TupleValue`] from this type by zero-initializing the tuple value.
+    #[must_use]
+    pub fn construct(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        self.map_struct_value(
+            Self::llvm_type(ctx.ctx, &self.ty.get_field_types()).const_zero(),
+            name,
+        )
+    }
+
+    /// Constructs a [`TupleValue`] from `objects`. The resulting tuple preserves the order of
+    /// objects.
+    #[must_use]
+    pub fn construct_from_objects<I: IntoIterator<Item = BasicValueEnum<'ctx>>>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        objects: I,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        let values = objects.into_iter().collect_vec();
+
+        assert_eq!(values.len(), self.num_elements() as usize);
+        assert!(values
+            .iter()
+            .enumerate()
+            .all(|(i, v)| { v.get_type() == unsafe { self.type_at_index_unchecked(i as u32) } }));
+
+        let mut value = self.construct(ctx, name);
+        for (i, val) in values.into_iter().enumerate() {
+            value.store_element(ctx, i as u32, val);
+        }
+
+        value
+    }
+
+    /// Converts an existing value into a [`ListValue`].
+    #[must_use]
+    pub fn map_struct_value(
+        &self,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(value, self.llvm_usize, name)
+    }
+
+    /// Converts an existing value into a [`TupleValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(ctx, value, self.llvm_usize, name)
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for TupleType<'ctx> {
+    type ABI = StructType<'ctx>;
+    type Base = StructType<'ctx>;
+    type Value = TupleValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::StructType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected struct type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(_: Self::Base, _: IntType<'ctx>) -> Result<(), String> {
+        Ok(())
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_base_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> From<TupleType<'ctx>> for StructType<'ctx> {
+    fn from(value: TupleType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

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

@@ -0,0 +1,3 @@
+pub use slice::*;
+
+mod slice;

nac3core/src/codegen/types/utils/slice.rs

@@ -0,0 +1,291 @@
+use inkwell::{
+    context::{AsContextRef, Context, ContextRef},
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType, PointerType, StructType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3core_derive::StructFields;
+
+use crate::codegen::{
+    types::{
+        structure::{
+            check_struct_type_matches_fields, FieldIndexCounter, StructField, StructFields,
+            StructProxyType,
+        },
+        ProxyType,
+    },
+    values::utils::SliceValue,
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Debug, PartialEq, Eq, Clone, Copy)]
+pub struct SliceType<'ctx> {
+    ty: PointerType<'ctx>,
+    int_ty: IntType<'ctx>,
+    llvm_usize: IntType<'ctx>,
+}
+
+#[derive(PartialEq, Eq, Clone, Copy, StructFields)]
+pub struct SliceStructFields<'ctx> {
+    #[value_type(bool_type())]
+    pub start_defined: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize)]
+    pub start: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(bool_type())]
+    pub stop_defined: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize)]
+    pub stop: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(bool_type())]
+    pub step_defined: StructField<'ctx, IntValue<'ctx>>,
+    #[value_type(usize)]
+    pub step: StructField<'ctx, IntValue<'ctx>>,
+}
+
+impl<'ctx> SliceStructFields<'ctx> {
+    /// Creates a new instance of [`SliceStructFields`] with a custom integer type for its range values.
+    #[must_use]
+    pub fn new_sized(ctx: &impl AsContextRef<'ctx>, int_ty: IntType<'ctx>) -> Self {
+        let ctx = unsafe { ContextRef::new(ctx.as_ctx_ref()) };
+        let mut counter = FieldIndexCounter::default();
+
+        SliceStructFields {
+            start_defined: StructField::create(&mut counter, "start_defined", ctx.bool_type()),
+            start: StructField::create(&mut counter, "start", int_ty),
+            stop_defined: StructField::create(&mut counter, "stop_defined", ctx.bool_type()),
+            stop: StructField::create(&mut counter, "stop", int_ty),
+            step_defined: StructField::create(&mut counter, "step_defined", ctx.bool_type()),
+            step: StructField::create(&mut counter, "step", int_ty),
+        }
+    }
+}
+
+impl<'ctx> SliceType<'ctx> {
+    /// Creates an LLVM type corresponding to the expected structure of a `Slice`.
+    #[must_use]
+    fn llvm_type(ctx: &'ctx Context, int_ty: IntType<'ctx>) -> PointerType<'ctx> {
+        let field_tys = SliceStructFields::new_sized(&int_ty.get_context(), int_ty)
+            .into_iter()
+            .map(|field| field.1)
+            .collect_vec();
+
+        ctx.struct_type(&field_tys, false).ptr_type(AddressSpace::default())
+    }
+
+    fn new_impl(ctx: &'ctx Context, int_ty: IntType<'ctx>, llvm_usize: IntType<'ctx>) -> Self {
+        let llvm_ty = Self::llvm_type(ctx, int_ty);
+
+        Self { ty: llvm_ty, int_ty, llvm_usize }
+    }
+
+    /// Creates an instance of [`SliceType`] with `int_ty` as its backing integer type.
+    #[must_use]
+    pub fn new(ctx: &CodeGenContext<'ctx, '_>, int_ty: IntType<'ctx>) -> Self {
+        Self::new_impl(ctx.ctx, int_ty, ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`SliceType`] with `int_ty` as its backing integer type.
+    #[must_use]
+    pub fn new_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+        int_ty: IntType<'ctx>,
+    ) -> Self {
+        Self::new_impl(ctx, int_ty, generator.get_size_type(ctx))
+    }
+
+    /// Creates an instance of [`SliceType`] with `usize` as its backing integer type.
+    #[must_use]
+    pub fn new_usize(ctx: &CodeGenContext<'ctx, '_>) -> Self {
+        Self::new_impl(ctx.ctx, ctx.get_size_type(), ctx.get_size_type())
+    }
+
+    /// Creates an instance of [`SliceType`] with `usize` as its backing integer type.
+    #[must_use]
+    pub fn new_usize_with_generator<G: CodeGenerator + ?Sized>(
+        generator: &G,
+        ctx: &'ctx Context,
+    ) -> Self {
+        Self::new_impl(ctx, generator.get_size_type(ctx), generator.get_size_type(ctx))
+    }
+
+    /// Creates an [`SliceType`] from a [`StructType`] representing a `slice`.
+    #[must_use]
+    pub fn from_struct_type(
+        ty: StructType<'ctx>,
+        int_ty: IntType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        Self::from_pointer_type(ty.ptr_type(AddressSpace::default()), int_ty, llvm_usize)
+    }
+
+    /// Creates an [`SliceType`] from a [`PointerType`] representing a `slice`.
+    #[must_use]
+    pub fn from_pointer_type(
+        ptr_ty: PointerType<'ctx>,
+        int_ty: IntType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Self {
+        debug_assert!(Self::has_same_repr(ptr_ty, int_ty).is_ok());
+
+        Self { ty: ptr_ty, int_ty, llvm_usize }
+    }
+
+    #[must_use]
+    pub fn element_type(&self) -> IntType<'ctx> {
+        self.int_ty
+    }
+
+    /// Allocates an instance of [`SliceValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca`].
+    #[must_use]
+    pub fn alloca(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca(ctx, name),
+            self.int_ty,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Allocates an instance of [`SliceValue`] as if by calling `alloca` on the base type.
+    ///
+    /// See [`ProxyType::raw_alloca_var`].
+    #[must_use]
+    pub fn alloca_var<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            self.raw_alloca_var(generator, ctx, name),
+            self.int_ty,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`SliceValue`].
+    #[must_use]
+    pub fn map_struct_value<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        value: StructValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_struct_value(
+            generator,
+            ctx,
+            value,
+            self.int_ty,
+            self.llvm_usize,
+            name,
+        )
+    }
+
+    /// Converts an existing value into a [`ContiguousNDArrayValue`].
+    #[must_use]
+    pub fn map_pointer_value(
+        &self,
+        value: PointerValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> <Self as ProxyType<'ctx>>::Value {
+        <Self as ProxyType<'ctx>>::Value::from_pointer_value(
+            value,
+            self.int_ty,
+            self.llvm_usize,
+            name,
+        )
+    }
+}
+
+impl<'ctx> ProxyType<'ctx> for SliceType<'ctx> {
+    type ABI = PointerType<'ctx>;
+    type Base = PointerType<'ctx>;
+    type Value = SliceValue<'ctx>;
+
+    fn is_representable(
+        llvm_ty: impl BasicType<'ctx>,
+        llvm_usize: IntType<'ctx>,
+    ) -> Result<(), String> {
+        if let BasicTypeEnum::PointerType(ty) = llvm_ty.as_basic_type_enum() {
+            Self::has_same_repr(ty, llvm_usize)
+        } else {
+            Err(format!("Expected pointer type, got {llvm_ty:?}"))
+        }
+    }
+
+    fn has_same_repr(ty: Self::Base, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        let ctx = ty.get_context();
+
+        let fields = SliceStructFields::new(ctx, llvm_usize);
+
+        let llvm_ty = ty.get_element_type();
+        let AnyTypeEnum::StructType(llvm_ty) = llvm_ty else {
+            return Err(format!("Expected struct type for `Slice` type, got {llvm_ty}"));
+        };
+
+        check_struct_type_matches_fields(
+            fields,
+            llvm_ty,
+            "Slice",
+            &[
+                (fields.start.name(), &|ty| {
+                    if ty.is_int_type() {
+                        Ok(())
+                    } else {
+                        Err(format!("Expected int type for `Slice.start`, got {ty}"))
+                    }
+                }),
+                (fields.stop.name(), &|ty| {
+                    if ty.is_int_type() {
+                        Ok(())
+                    } else {
+                        Err(format!("Expected int type for `Slice.stop`, got {ty}"))
+                    }
+                }),
+                (fields.step.name(), &|ty| {
+                    if ty.is_int_type() {
+                        Ok(())
+                    } else {
+                        Err(format!("Expected int type for `Slice.step`, got {ty}"))
+                    }
+                }),
+            ],
+        )
+    }
+
+    fn alloca_type(&self) -> impl BasicType<'ctx> {
+        self.as_abi_type().get_element_type().into_struct_type()
+    }
+
+    fn as_base_type(&self) -> Self::Base {
+        self.ty
+    }
+
+    fn as_abi_type(&self) -> Self::ABI {
+        self.as_base_type()
+    }
+}
+
+impl<'ctx> StructProxyType<'ctx> for SliceType<'ctx> {
+    type StructFields = SliceStructFields<'ctx>;
+
+    fn get_fields(&self) -> Self::StructFields {
+        SliceStructFields::new_sized(&self.ty.get_context(), self.int_ty)
+    }
+}
+
+impl<'ctx> From<SliceType<'ctx>> for PointerType<'ctx> {
+    fn from(value: SliceType<'ctx>) -> Self {
+        value.as_base_type()
+    }
+}

nac3core/src/codegen/values/array.rs

@@ -0,0 +1,439 @@
+use inkwell::{
+    types::AnyTypeEnum,
+    values::{BasicValueEnum, IntValue, PointerValue},
+    IntPredicate,
+};
+
+use crate::codegen::{CodeGenContext, CodeGenerator};
+
+/// An LLVM value that is array-like, i.e. it contains a contiguous, sequenced collection of
+/// elements.
+pub trait ArrayLikeValue<'ctx> {
+    /// Returns the element type of this array-like value.
+    fn element_type<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+    ) -> AnyTypeEnum<'ctx>;
+
+    /// Returns the base pointer to the array.
+    fn base_ptr<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+    ) -> PointerValue<'ctx>;
+
+    /// Returns the size of this array-like value.
+    fn size<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+    ) -> IntValue<'ctx>;
+
+    /// Returns a [`ArraySliceValue`] representing this value.
+    fn as_slice_value<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+    ) -> ArraySliceValue<'ctx> {
+        ArraySliceValue::from_ptr_val(
+            self.base_ptr(ctx, generator),
+            self.size(ctx, generator),
+            None,
+        )
+    }
+}
+
+/// An array-like value that can be indexed by memory offset.
+pub trait ArrayLikeIndexer<'ctx, Index = IntValue<'ctx>>: ArrayLikeValue<'ctx> {
+    /// # Safety
+    ///
+    /// This function should be called with a valid index.
+    unsafe fn ptr_offset_unchecked<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx>;
+
+    /// Returns the pointer to the data at the `idx`-th index.
+    fn ptr_offset<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx>;
+}
+
+/// An array-like value that can have its array elements accessed as a [`BasicValueEnum`].
+pub trait UntypedArrayLikeAccessor<'ctx, Index = IntValue<'ctx>>:
+    ArrayLikeIndexer<'ctx, Index>
+{
+    /// # Safety
+    ///
+    /// This function should be called with a valid index.
+    unsafe fn get_unchecked<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> BasicValueEnum<'ctx> {
+        let ptr = unsafe { self.ptr_offset_unchecked(ctx, generator, idx, name) };
+        ctx.builder.build_load(ptr, name.unwrap_or_default()).unwrap()
+    }
+
+    /// Returns the data at the `idx`-th index.
+    fn get<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> BasicValueEnum<'ctx> {
+        let ptr = self.ptr_offset(ctx, generator, idx, name);
+        ctx.builder.build_load(ptr, name.unwrap_or_default()).unwrap()
+    }
+}
+
+/// An array-like value that can have its array elements mutated as a [`BasicValueEnum`].
+pub trait UntypedArrayLikeMutator<'ctx, Index = IntValue<'ctx>>:
+    ArrayLikeIndexer<'ctx, Index>
+{
+    /// # Safety
+    ///
+    /// This function should be called with a valid index.
+    unsafe fn set_unchecked<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &Index,
+        value: BasicValueEnum<'ctx>,
+    ) {
+        let ptr = unsafe { self.ptr_offset_unchecked(ctx, generator, idx, None) };
+        ctx.builder.build_store(ptr, value).unwrap();
+    }
+
+    /// Sets the data at the `idx`-th index.
+    fn set<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &Index,
+        value: BasicValueEnum<'ctx>,
+    ) {
+        let ptr = self.ptr_offset(ctx, generator, idx, None);
+        ctx.builder.build_store(ptr, value).unwrap();
+    }
+}
+
+/// An array-like value that can have its array elements accessed as an arbitrary type `T`.
+pub trait TypedArrayLikeAccessor<'ctx, G: CodeGenerator + ?Sized, T, Index = IntValue<'ctx>>:
+    UntypedArrayLikeAccessor<'ctx, Index>
+{
+    /// Casts an element from [`BasicValueEnum`] into `T`.
+    fn downcast_to_type(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        value: BasicValueEnum<'ctx>,
+    ) -> T;
+
+    /// # Safety
+    ///
+    /// This function should be called with a valid index.
+    unsafe fn get_typed_unchecked(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> T {
+        let value = unsafe { self.get_unchecked(ctx, generator, idx, name) };
+        self.downcast_to_type(ctx, generator, value)
+    }
+
+    /// Returns the data at the `idx`-th index.
+    fn get_typed(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> T {
+        let value = self.get(ctx, generator, idx, name);
+        self.downcast_to_type(ctx, generator, value)
+    }
+}
+
+/// An array-like value that can have its array elements mutated as an arbitrary type `T`.
+pub trait TypedArrayLikeMutator<'ctx, G: CodeGenerator + ?Sized, T, Index = IntValue<'ctx>>:
+    UntypedArrayLikeMutator<'ctx, Index>
+{
+    /// Casts an element from T into [`BasicValueEnum`].
+    fn upcast_from_type(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        value: T,
+    ) -> BasicValueEnum<'ctx>;
+
+    /// # Safety
+    ///
+    /// This function should be called with a valid index.
+    unsafe fn set_typed_unchecked(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &Index,
+        value: T,
+    ) {
+        let value = self.upcast_from_type(ctx, generator, value);
+        unsafe { self.set_unchecked(ctx, generator, idx, value) }
+    }
+
+    /// Sets the data at the `idx`-th index.
+    fn set_typed(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &Index,
+        value: T,
+    ) {
+        let value = self.upcast_from_type(ctx, generator, value);
+        self.set(ctx, generator, idx, value);
+    }
+}
+
+/// An adapter for constraining untyped array values as typed values.
+#[derive(Copy, Clone)]
+pub struct TypedArrayLikeAdapter<
+    'ctx,
+    G: CodeGenerator + ?Sized,
+    T,
+    Adapted: ArrayLikeValue<'ctx> = ArraySliceValue<'ctx>,
+> {
+    adapted: Adapted,
+    downcast_fn: fn(&CodeGenContext<'ctx, '_>, &G, BasicValueEnum<'ctx>) -> T,
+    upcast_fn: fn(&CodeGenContext<'ctx, '_>, &G, T) -> BasicValueEnum<'ctx>,
+}
+
+impl<'ctx, G: CodeGenerator + ?Sized, T, Adapted> TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: ArrayLikeValue<'ctx>,
+{
+    /// Creates a [`TypedArrayLikeAdapter`].
+    ///
+    /// * `adapted` - The value to be adapted.
+    /// * `downcast_fn` - The function converting a [`BasicValueEnum`] into a `T`.
+    /// * `upcast_fn` - The function converting a T into a [`BasicValueEnum`].
+    pub fn from(
+        adapted: Adapted,
+        downcast_fn: fn(&CodeGenContext<'ctx, '_>, &G, BasicValueEnum<'ctx>) -> T,
+        upcast_fn: fn(&CodeGenContext<'ctx, '_>, &G, T) -> BasicValueEnum<'ctx>,
+    ) -> Self {
+        TypedArrayLikeAdapter { adapted, downcast_fn, upcast_fn }
+    }
+}
+
+impl<'ctx, G: CodeGenerator + ?Sized, T, Adapted> ArrayLikeValue<'ctx>
+    for TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: ArrayLikeValue<'ctx>,
+{
+    fn element_type<CG: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &CG,
+    ) -> AnyTypeEnum<'ctx> {
+        self.adapted.element_type(ctx, generator)
+    }
+
+    fn base_ptr<CG: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &CG,
+    ) -> PointerValue<'ctx> {
+        self.adapted.base_ptr(ctx, generator)
+    }
+
+    fn size<CG: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &CG,
+    ) -> IntValue<'ctx> {
+        self.adapted.size(ctx, generator)
+    }
+
+    fn as_slice_value<CG: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &CG,
+    ) -> ArraySliceValue<'ctx> {
+        self.adapted.as_slice_value(ctx, generator)
+    }
+}
+
+impl<'ctx, G: CodeGenerator + ?Sized, T, Index, Adapted> ArrayLikeIndexer<'ctx, Index>
+    for TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: ArrayLikeIndexer<'ctx, Index>,
+{
+    unsafe fn ptr_offset_unchecked<CG: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &CG,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx> {
+        unsafe { self.adapted.ptr_offset_unchecked(ctx, generator, idx, name) }
+    }
+
+    fn ptr_offset<CG: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut CG,
+        idx: &Index,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx> {
+        self.adapted.ptr_offset(ctx, generator, idx, name)
+    }
+}
+
+impl<'ctx, G: CodeGenerator + ?Sized, T, Index, Adapted> UntypedArrayLikeAccessor<'ctx, Index>
+    for TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: UntypedArrayLikeAccessor<'ctx, Index>,
+{
+}
+impl<'ctx, G: CodeGenerator + ?Sized, T, Index, Adapted> UntypedArrayLikeMutator<'ctx, Index>
+    for TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: UntypedArrayLikeMutator<'ctx, Index>,
+{
+}
+
+impl<'ctx, G: CodeGenerator + ?Sized, T, Index, Adapted> TypedArrayLikeAccessor<'ctx, G, T, Index>
+    for TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: UntypedArrayLikeAccessor<'ctx, Index>,
+{
+    fn downcast_to_type(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        value: BasicValueEnum<'ctx>,
+    ) -> T {
+        (self.downcast_fn)(ctx, generator, value)
+    }
+}
+
+impl<'ctx, G: CodeGenerator + ?Sized, T, Index, Adapted> TypedArrayLikeMutator<'ctx, G, T, Index>
+    for TypedArrayLikeAdapter<'ctx, G, T, Adapted>
+where
+    Adapted: UntypedArrayLikeMutator<'ctx, Index>,
+{
+    fn upcast_from_type(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        value: T,
+    ) -> BasicValueEnum<'ctx> {
+        (self.upcast_fn)(ctx, generator, value)
+    }
+}
+
+/// An LLVM value representing an array slice, consisting of a pointer to the data and the size of
+/// the slice.
+#[derive(Copy, Clone)]
+pub struct ArraySliceValue<'ctx>(PointerValue<'ctx>, IntValue<'ctx>, Option<&'ctx str>);
+
+impl<'ctx> ArraySliceValue<'ctx> {
+    /// Creates an [`ArraySliceValue`] from a [`PointerValue`] and its size.
+    #[must_use]
+    pub fn from_ptr_val(
+        ptr: PointerValue<'ctx>,
+        size: IntValue<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        ArraySliceValue(ptr, size, name)
+    }
+}
+
+impl<'ctx> From<ArraySliceValue<'ctx>> for PointerValue<'ctx> {
+    fn from(value: ArraySliceValue<'ctx>) -> Self {
+        value.0
+    }
+}
+
+impl<'ctx> ArrayLikeValue<'ctx> for ArraySliceValue<'ctx> {
+    fn element_type<G: CodeGenerator + ?Sized>(
+        &self,
+        _: &CodeGenContext<'ctx, '_>,
+        _: &G,
+    ) -> AnyTypeEnum<'ctx> {
+        self.0.get_type().get_element_type()
+    }
+
+    fn base_ptr<G: CodeGenerator + ?Sized>(
+        &self,
+        _: &CodeGenContext<'ctx, '_>,
+        _: &G,
+    ) -> PointerValue<'ctx> {
+        self.0
+    }
+
+    fn size<G: CodeGenerator + ?Sized>(
+        &self,
+        _: &CodeGenContext<'ctx, '_>,
+        _: &G,
+    ) -> IntValue<'ctx> {
+        self.1
+    }
+}
+
+impl<'ctx> ArrayLikeIndexer<'ctx> for ArraySliceValue<'ctx> {
+    unsafe fn ptr_offset_unchecked<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &IntValue<'ctx>,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx> {
+        let var_name = name.or(self.2).map(|v| format!("{v}.addr")).unwrap_or_default();
+
+        unsafe {
+            ctx.builder
+                .build_in_bounds_gep(self.base_ptr(ctx, generator), &[*idx], var_name.as_str())
+                .unwrap()
+        }
+    }
+
+    fn ptr_offset<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &IntValue<'ctx>,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx> {
+        debug_assert_eq!(idx.get_type(), ctx.get_size_type());
+
+        let size = self.size(ctx, generator);
+        let in_range = ctx.builder.build_int_compare(IntPredicate::ULT, *idx, size, "").unwrap();
+        ctx.make_assert(
+            generator,
+            in_range,
+            "0:IndexError",
+            "list index out of range",
+            [None, None, None],
+            ctx.current_loc,
+        );
+
+        unsafe { self.ptr_offset_unchecked(ctx, generator, idx, name) }
+    }
+}
+
+impl<'ctx> UntypedArrayLikeAccessor<'ctx> for ArraySliceValue<'ctx> {}
+impl<'ctx> UntypedArrayLikeMutator<'ctx> for ArraySliceValue<'ctx> {}

nac3core/src/codegen/values/list.rs

@@ -0,0 +1,236 @@
+use inkwell::{
+    types::{AnyTypeEnum, BasicType, BasicTypeEnum, IntType},
+    values::{BasicValueEnum, IntValue, PointerValue, StructValue},
+    AddressSpace, IntPredicate,
+};
+
+use super::{
+    structure::StructProxyValue, ArrayLikeIndexer, ArrayLikeValue, ProxyValue,
+    UntypedArrayLikeAccessor, UntypedArrayLikeMutator,
+};
+use crate::codegen::{
+    types::{
+        structure::{StructField, StructProxyType},
+        ListType, ProxyType,
+    },
+    {CodeGenContext, CodeGenerator},
+};
+
+/// Proxy type for accessing a `list` value in LLVM.
+#[derive(Copy, Clone)]
+pub struct ListValue<'ctx> {
+    value: PointerValue<'ctx>,
+    llvm_usize: IntType<'ctx>,
+    name: Option<&'ctx str>,
+}
+
+impl<'ctx> ListValue<'ctx> {
+    /// Creates an [`ListValue`] from a [`PointerValue`].
+    #[must_use]
+    pub fn from_struct_value<G: CodeGenerator + ?Sized>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        val: StructValue<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        let pval = generator
+            .gen_var_alloc(
+                ctx,
+                val.get_type().into(),
+                name.map(|name| format!("{name}.addr")).as_deref(),
+            )
+            .unwrap();
+        ctx.builder.build_store(pval, val).unwrap();
+        Self::from_pointer_value(pval, llvm_usize, name)
+    }
+
+    /// Creates an [`ListValue`] from a [`PointerValue`].
+    #[must_use]
+    pub fn from_pointer_value(
+        ptr: PointerValue<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        debug_assert!(Self::is_instance(ptr, llvm_usize).is_ok());
+
+        ListValue { value: ptr, llvm_usize, name }
+    }
+
+    fn items_field(&self) -> StructField<'ctx, PointerValue<'ctx>> {
+        self.get_type().get_fields().items
+    }
+
+    /// Stores the array of data elements `data` into this instance.
+    fn store_data(&self, ctx: &CodeGenContext<'ctx, '_>, data: PointerValue<'ctx>) {
+        self.items_field().store(ctx, self.value, data, self.name);
+    }
+
+    /// Convenience method for creating a new array storing data elements with the given element
+    /// type `elem_ty` and `size`.
+    ///
+    /// If `size` is [None], the size stored in the field of this instance is used instead. If
+    /// `size` is resolved to `0` at runtime, `(T*) 0` will be assigned to `data`.
+    pub fn create_data(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        elem_ty: BasicTypeEnum<'ctx>,
+        size: Option<IntValue<'ctx>>,
+    ) {
+        let size = size.unwrap_or_else(|| self.load_size(ctx, None));
+
+        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`
+    /// on the field.
+    #[must_use]
+    pub fn data(&self) -> ListDataProxy<'ctx, '_> {
+        ListDataProxy(self)
+    }
+
+    fn len_field(&self) -> StructField<'ctx, IntValue<'ctx>> {
+        self.get_type().get_fields().len
+    }
+
+    /// Stores the `size` of this `list` into this instance.
+    pub fn store_size(&self, ctx: &CodeGenContext<'ctx, '_>, size: IntValue<'ctx>) {
+        debug_assert_eq!(size.get_type(), ctx.get_size_type());
+
+        self.len_field().store(ctx, self.value, size, self.name);
+    }
+
+    /// Returns the size of this `list` as a value.
+    pub fn load_size(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        name: Option<&'ctx str>,
+    ) -> IntValue<'ctx> {
+        self.len_field().load(ctx, self.value, name)
+    }
+
+    /// Returns an instance of [`ListValue`] with the `items` pointer cast to `i8*`.
+    #[must_use]
+    pub fn as_i8_list(&self, ctx: &CodeGenContext<'ctx, '_>) -> ListValue<'ctx> {
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_list_i8 = <Self as ProxyValue>::Type::new(ctx, &llvm_i8);
+
+        Self::from_pointer_value(
+            ctx.builder.build_pointer_cast(self.value, llvm_list_i8.as_abi_type(), "").unwrap(),
+            self.llvm_usize,
+            self.name,
+        )
+    }
+}
+
+impl<'ctx> ProxyValue<'ctx> for ListValue<'ctx> {
+    type ABI = PointerValue<'ctx>;
+    type Base = PointerValue<'ctx>;
+    type Type = ListType<'ctx>;
+
+    fn get_type(&self) -> Self::Type {
+        ListType::from_pointer_type(self.as_base_value().get_type(), self.llvm_usize)
+    }
+
+    fn as_base_value(&self) -> Self::Base {
+        self.value
+    }
+
+    fn as_abi_value(&self, _: &CodeGenContext<'ctx, '_>) -> Self::ABI {
+        self.as_base_value()
+    }
+}
+
+impl<'ctx> StructProxyValue<'ctx> for ListValue<'ctx> {}
+
+impl<'ctx> From<ListValue<'ctx>> for PointerValue<'ctx> {
+    fn from(value: ListValue<'ctx>) -> Self {
+        value.as_base_value()
+    }
+}
+
+/// Proxy type for accessing the `data` array of an `list` instance in LLVM.
+#[derive(Copy, Clone)]
+pub struct ListDataProxy<'ctx, 'a>(&'a ListValue<'ctx>);
+
+impl<'ctx> ArrayLikeValue<'ctx> for ListDataProxy<'ctx, '_> {
+    fn element_type<G: CodeGenerator + ?Sized>(
+        &self,
+        _: &CodeGenContext<'ctx, '_>,
+        _: &G,
+    ) -> AnyTypeEnum<'ctx> {
+        self.0.value.get_type().get_element_type()
+    }
+
+    fn base_ptr<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        _: &G,
+    ) -> PointerValue<'ctx> {
+        self.0.items_field().load(ctx, self.0.value, self.0.name)
+    }
+
+    fn size<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        _: &G,
+    ) -> IntValue<'ctx> {
+        self.0.load_size(ctx, None)
+    }
+}
+
+impl<'ctx> ArrayLikeIndexer<'ctx> for ListDataProxy<'ctx, '_> {
+    unsafe fn ptr_offset_unchecked<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &CodeGenContext<'ctx, '_>,
+        generator: &G,
+        idx: &IntValue<'ctx>,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx> {
+        let var_name = name.map(|v| format!("{v}.addr")).unwrap_or_default();
+
+        unsafe {
+            ctx.builder
+                .build_in_bounds_gep(self.base_ptr(ctx, generator), &[*idx], var_name.as_str())
+                .unwrap()
+        }
+    }
+
+    fn ptr_offset<G: CodeGenerator + ?Sized>(
+        &self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        generator: &mut G,
+        idx: &IntValue<'ctx>,
+        name: Option<&str>,
+    ) -> PointerValue<'ctx> {
+        debug_assert_eq!(idx.get_type(), ctx.get_size_type());
+
+        let size = self.size(ctx, generator);
+        let in_range = ctx.builder.build_int_compare(IntPredicate::ULT, *idx, size, "").unwrap();
+        ctx.make_assert(
+            generator,
+            in_range,
+            "0:IndexError",
+            "list index out of range",
+            [None, None, None],
+            ctx.current_loc,
+        );
+
+        unsafe { self.ptr_offset_unchecked(ctx, generator, idx, name) }
+    }
+}
+
+impl<'ctx> UntypedArrayLikeAccessor<'ctx> for ListDataProxy<'ctx, '_> {}
+impl<'ctx> UntypedArrayLikeMutator<'ctx> for ListDataProxy<'ctx, '_> {}

nac3core/src/codegen/values/mod.rs

@@ -0,0 +1,44 @@
+use inkwell::{types::IntType, values::BasicValue};
+
+use super::{types::ProxyType, CodeGenContext};
+pub use array::*;
+pub use list::*;
+pub use range::*;
+pub use tuple::*;
+
+mod array;
+mod list;
+pub mod ndarray;
+mod range;
+pub mod structure;
+mod tuple;
+pub mod utils;
+
+/// A LLVM type that is used to represent a non-primitive value in NAC3.
+pub trait ProxyValue<'ctx>: Into<Self::Base> {
+    /// The ABI type of LLVM values represented by this instance.
+    type ABI: BasicValue<'ctx>;
+
+    /// The type of LLVM values represented by this instance.
+    type Base: BasicValue<'ctx>;
+
+    /// The type of this value.
+    type Type: ProxyType<'ctx, Value = Self>;
+
+    /// Checks whether `value` can be represented by this [`ProxyValue`].
+    fn is_instance(value: impl BasicValue<'ctx>, llvm_usize: IntType<'ctx>) -> Result<(), String> {
+        Self::Type::is_representable(value.as_basic_value_enum().get_type(), llvm_usize)
+    }
+
+    /// Returns the [type][ProxyType] of this value.
+    fn get_type(&self) -> Self::Type;
+
+    /// Returns the [base value][Self::Base] of this proxy.
+    fn as_base_value(&self) -> Self::Base;
+
+    /// Returns this proxy as its ABI value, i.e. the expected value representation if a value
+    /// represented by this [`ProxyValue`] is being passed into or returned from a function.
+    ///
+    /// See [`CodeGenContext::get_llvm_abi_type`].
+    fn as_abi_value(&self, ctx: &CodeGenContext<'ctx, '_>) -> Self::ABI;
+}

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

@@ -0,0 +1,262 @@
+use inkwell::{
+    types::IntType,
+    values::{IntValue, PointerValue, StructValue},
+};
+use itertools::Itertools;
+
+use crate::codegen::{
+    irrt,
+    types::{
+        ndarray::{NDArrayType, ShapeEntryType},
+        structure::{StructField, StructProxyType},
+        ProxyType,
+    },
+    values::{
+        ndarray::NDArrayValue, structure::StructProxyValue, ArrayLikeIndexer, ArrayLikeValue,
+        ArraySliceValue, ProxyValue, TypedArrayLikeAccessor, TypedArrayLikeAdapter,
+        TypedArrayLikeMutator,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Copy, Clone)]
+pub struct ShapeEntryValue<'ctx> {
+    value: PointerValue<'ctx>,
+    llvm_usize: IntType<'ctx>,
+    name: Option<&'ctx str>,
+}
+
+impl<'ctx> ShapeEntryValue<'ctx> {
+    /// Creates an [`ShapeEntryValue`] from a [`StructValue`].
+    #[must_use]
+    pub fn from_struct_value<G: CodeGenerator + ?Sized>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        val: StructValue<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        let pval = generator
+            .gen_var_alloc(
+                ctx,
+                val.get_type().into(),
+                name.map(|name| format!("{name}.addr")).as_deref(),
+            )
+            .unwrap();
+        ctx.builder.build_store(pval, val).unwrap();
+        Self::from_pointer_value(pval, llvm_usize, name)
+    }
+
+    /// Creates an [`ShapeEntryValue`] from a [`PointerValue`].
+    #[must_use]
+    pub fn from_pointer_value(
+        ptr: PointerValue<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        debug_assert!(Self::is_instance(ptr, llvm_usize).is_ok());
+
+        Self { value: ptr, llvm_usize, name }
+    }
+
+    fn ndims_field(&self) -> StructField<'ctx, IntValue<'ctx>> {
+        self.get_type().get_fields().ndims
+    }
+
+    /// Stores the number of dimensions into this value.
+    pub fn store_ndims(&self, ctx: &CodeGenContext<'ctx, '_>, value: IntValue<'ctx>) {
+        self.ndims_field().store(ctx, self.value, value, self.name);
+    }
+
+    fn shape_field(&self) -> StructField<'ctx, PointerValue<'ctx>> {
+        self.get_type().get_fields().shape
+    }
+
+    /// Stores the shape into this value.
+    pub fn store_shape(&self, ctx: &CodeGenContext<'ctx, '_>, value: PointerValue<'ctx>) {
+        self.shape_field().store(ctx, self.value, value, self.name);
+    }
+}
+
+impl<'ctx> ProxyValue<'ctx> for ShapeEntryValue<'ctx> {
+    type ABI = PointerValue<'ctx>;
+    type Base = PointerValue<'ctx>;
+    type Type = ShapeEntryType<'ctx>;
+
+    fn get_type(&self) -> Self::Type {
+        Self::Type::from_pointer_type(self.value.get_type(), self.llvm_usize)
+    }
+
+    fn as_base_value(&self) -> Self::Base {
+        self.value
+    }
+
+    fn as_abi_value(&self, _: &CodeGenContext<'ctx, '_>) -> Self::ABI {
+        self.as_base_value()
+    }
+}
+
+impl<'ctx> StructProxyValue<'ctx> for ShapeEntryValue<'ctx> {}
+
+impl<'ctx> From<ShapeEntryValue<'ctx>> for PointerValue<'ctx> {
+    fn from(value: ShapeEntryValue<'ctx>) -> Self {
+        value.as_base_value()
+    }
+}
+
+impl<'ctx> NDArrayValue<'ctx> {
+    /// Create a broadcast view on this ndarray with a target shape.
+    ///
+    /// The input shape will be checked to make sure that it contains no negative values.
+    ///
+    /// * `target_ndims` - The ndims type after broadcasting to the given shape.
+    ///   The caller has to figure this out for this function.
+    /// * `target_shape` - An array pointer pointing to the target shape.
+    #[must_use]
+    pub fn broadcast_to<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        target_ndims: u64,
+        target_shape: &impl TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>,
+    ) -> Self {
+        assert!(self.ndims <= target_ndims);
+        assert_eq!(target_shape.element_type(ctx, generator), self.llvm_usize.into());
+
+        let broadcast_ndarray = NDArrayType::new(ctx, self.dtype, target_ndims)
+            .construct_uninitialized(generator, ctx, None);
+        broadcast_ndarray.copy_shape_from_array(
+            generator,
+            ctx,
+            target_shape.base_ptr(ctx, generator),
+        );
+
+        irrt::ndarray::call_nac3_ndarray_broadcast_to(ctx, *self, broadcast_ndarray);
+        broadcast_ndarray
+    }
+}
+
+/// A result produced by [`broadcast_all_ndarrays`]
+#[derive(Clone)]
+pub struct BroadcastAllResult<'ctx, G: CodeGenerator + ?Sized> {
+    /// The statically known `ndims` of the broadcast result.
+    pub ndims: u64,
+
+    /// The broadcasting shape.
+    pub shape: TypedArrayLikeAdapter<'ctx, G, IntValue<'ctx>>,
+
+    /// Broadcasted views on the inputs.
+    ///
+    /// All of them will have `shape` [`BroadcastAllResult::shape`] and
+    /// `ndims` [`BroadcastAllResult::ndims`]. The length of the vector
+    /// is the same as the input.
+    pub ndarrays: Vec<NDArrayValue<'ctx>>,
+}
+
+/// Helper function to call [`irrt::ndarray::call_nac3_ndarray_broadcast_shapes`].
+fn broadcast_shapes<'ctx, G, Shape>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    in_shape_entries: &[(ArraySliceValue<'ctx>, u64)], // (shape, shape's length/ndims)
+    broadcast_ndims: u64,
+    broadcast_shape: &Shape,
+) where
+    G: CodeGenerator + ?Sized,
+    Shape: TypedArrayLikeAccessor<'ctx, G, IntValue<'ctx>>
+        + TypedArrayLikeMutator<'ctx, G, IntValue<'ctx>>,
+{
+    let llvm_usize = ctx.get_size_type();
+    let llvm_shape_ty = ShapeEntryType::new(ctx);
+
+    assert!(in_shape_entries
+        .iter()
+        .all(|entry| entry.0.element_type(ctx, generator) == llvm_usize.into()));
+    assert_eq!(broadcast_shape.element_type(ctx, generator), llvm_usize.into());
+
+    // Prepare input shape entries to be passed to `call_nac3_ndarray_broadcast_shapes`.
+    let num_shape_entries =
+        llvm_usize.const_int(u64::try_from(in_shape_entries.len()).unwrap(), false);
+    let shape_entries = llvm_shape_ty.array_alloca(ctx, num_shape_entries, None);
+    for (i, (in_shape, in_ndims)) in in_shape_entries.iter().enumerate() {
+        let pshape_entry = unsafe {
+            shape_entries.ptr_offset_unchecked(
+                ctx,
+                generator,
+                &llvm_usize.const_int(i as u64, false),
+                None,
+            )
+        };
+        let shape_entry = llvm_shape_ty.map_pointer_value(pshape_entry, None);
+
+        let in_ndims = llvm_usize.const_int(*in_ndims, false);
+        shape_entry.store_ndims(ctx, in_ndims);
+
+        shape_entry.store_shape(ctx, in_shape.base_ptr(ctx, generator));
+    }
+
+    let broadcast_ndims = llvm_usize.const_int(broadcast_ndims, false);
+    irrt::ndarray::call_nac3_ndarray_broadcast_shapes(
+        generator,
+        ctx,
+        num_shape_entries,
+        shape_entries,
+        broadcast_ndims,
+        broadcast_shape,
+    );
+}
+
+impl<'ctx> NDArrayType<'ctx> {
+    /// Broadcast all ndarrays according to
+    /// [`np.broadcast()`](https://numpy.org/doc/stable/reference/generated/numpy.broadcast.html)
+    /// and return a [`BroadcastAllResult`] containing all the information of the result of the
+    /// broadcast operation.
+    pub fn broadcast<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        ndarrays: &[NDArrayValue<'ctx>],
+    ) -> BroadcastAllResult<'ctx, G> {
+        assert!(!ndarrays.is_empty());
+
+        let llvm_usize = ctx.get_size_type();
+
+        // Infer the broadcast output ndims.
+        let broadcast_ndims_int =
+            ndarrays.iter().map(|ndarray| ndarray.get_type().ndims()).max().unwrap();
+        assert!(self.ndims() >= broadcast_ndims_int);
+
+        let broadcast_ndims = llvm_usize.const_int(broadcast_ndims_int, false);
+        let broadcast_shape = ArraySliceValue::from_ptr_val(
+            ctx.builder.build_array_alloca(llvm_usize, broadcast_ndims, "").unwrap(),
+            broadcast_ndims,
+            None,
+        );
+        let broadcast_shape = TypedArrayLikeAdapter::from(
+            broadcast_shape,
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+
+        let shape_entries = ndarrays
+            .iter()
+            .map(|ndarray| {
+                (ndarray.shape().as_slice_value(ctx, generator), ndarray.get_type().ndims())
+            })
+            .collect_vec();
+        broadcast_shapes(generator, ctx, &shape_entries, broadcast_ndims_int, &broadcast_shape);
+
+        // Broadcast all the inputs to shape `dst_shape`.
+        let broadcast_ndarrays = ndarrays
+            .iter()
+            .map(|ndarray| {
+                ndarray.broadcast_to(generator, ctx, broadcast_ndims_int, &broadcast_shape)
+            })
+            .collect_vec();
+
+        BroadcastAllResult {
+            ndims: broadcast_ndims_int,
+            shape: broadcast_shape,
+            ndarrays: broadcast_ndarrays,
+        }
+    }
+}

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

@@ -0,0 +1,223 @@
+use inkwell::{
+    types::{BasicType, BasicTypeEnum, IntType},
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+
+use super::NDArrayValue;
+use crate::codegen::{
+    stmt::gen_if_callback,
+    types::{
+        ndarray::{ContiguousNDArrayType, NDArrayType},
+        structure::{StructField, StructProxyType},
+    },
+    values::{structure::StructProxyValue, ArrayLikeValue, ProxyValue},
+    CodeGenContext, CodeGenerator,
+};
+
+#[derive(Copy, Clone)]
+pub struct ContiguousNDArrayValue<'ctx> {
+    value: PointerValue<'ctx>,
+    item: BasicTypeEnum<'ctx>,
+    llvm_usize: IntType<'ctx>,
+    name: Option<&'ctx str>,
+}
+
+impl<'ctx> ContiguousNDArrayValue<'ctx> {
+    /// Creates an [`ContiguousNDArrayValue`] from a [`StructValue`].
+    #[must_use]
+    pub fn from_struct_value<G: CodeGenerator + ?Sized>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        val: StructValue<'ctx>,
+        dtype: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        let pval = generator
+            .gen_var_alloc(
+                ctx,
+                val.get_type().into(),
+                name.map(|name| format!("{name}.addr")).as_deref(),
+            )
+            .unwrap();
+        ctx.builder.build_store(pval, val).unwrap();
+        Self::from_pointer_value(pval, dtype, llvm_usize, name)
+    }
+
+    /// Creates an [`ContiguousNDArrayValue`] from a [`PointerValue`].
+    #[must_use]
+    pub fn from_pointer_value(
+        ptr: PointerValue<'ctx>,
+        dtype: BasicTypeEnum<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        debug_assert!(Self::is_instance(ptr, llvm_usize).is_ok());
+
+        Self { value: ptr, item: dtype, llvm_usize, name }
+    }
+
+    fn ndims_field(&self) -> StructField<'ctx, IntValue<'ctx>> {
+        self.get_type().get_fields().ndims
+    }
+
+    pub fn store_ndims(&self, ctx: &CodeGenContext<'ctx, '_>, value: IntValue<'ctx>) {
+        self.ndims_field().store(ctx, self.as_abi_value(ctx), value, self.name);
+    }
+
+    fn shape_field(&self) -> StructField<'ctx, PointerValue<'ctx>> {
+        self.get_type().get_fields().shape
+    }
+
+    pub fn store_shape(&self, ctx: &CodeGenContext<'ctx, '_>, value: PointerValue<'ctx>) {
+        self.shape_field().store(ctx, self.as_abi_value(ctx), value, self.name);
+    }
+
+    pub fn load_shape(&self, ctx: &CodeGenContext<'ctx, '_>) -> PointerValue<'ctx> {
+        self.shape_field().load(ctx, self.value, self.name)
+    }
+
+    fn data_field(&self) -> StructField<'ctx, PointerValue<'ctx>> {
+        self.get_type().get_fields().data
+    }
+
+    pub fn store_data(&self, ctx: &CodeGenContext<'ctx, '_>, value: PointerValue<'ctx>) {
+        self.data_field().store(ctx, self.as_abi_value(ctx), value, self.name);
+    }
+
+    pub fn load_data(&self, ctx: &CodeGenContext<'ctx, '_>) -> PointerValue<'ctx> {
+        self.data_field().load(ctx, self.value, self.name)
+    }
+}
+
+impl<'ctx> ProxyValue<'ctx> for ContiguousNDArrayValue<'ctx> {
+    type ABI = PointerValue<'ctx>;
+    type Base = PointerValue<'ctx>;
+    type Type = ContiguousNDArrayType<'ctx>;
+
+    fn get_type(&self) -> Self::Type {
+        <Self as ProxyValue<'ctx>>::Type::from_pointer_type(
+            self.as_base_value().get_type(),
+            self.item,
+            self.llvm_usize,
+        )
+    }
+
+    fn as_base_value(&self) -> Self::Base {
+        self.value
+    }
+
+    fn as_abi_value(&self, _: &CodeGenContext<'ctx, '_>) -> Self::ABI {
+        self.as_base_value()
+    }
+}
+
+impl<'ctx> StructProxyValue<'ctx> for ContiguousNDArrayValue<'ctx> {}
+
+impl<'ctx> From<ContiguousNDArrayValue<'ctx>> for PointerValue<'ctx> {
+    fn from(value: ContiguousNDArrayValue<'ctx>) -> Self {
+        value.as_base_value()
+    }
+}
+
+impl<'ctx> NDArrayValue<'ctx> {
+    /// Create a [`ContiguousNDArrayValue`] from the contents of this ndarray.
+    ///
+    /// This function may or may not be expensive depending on if this ndarray has contiguous data.
+    ///
+    /// If this ndarray is not C-contiguous, this function will allocate memory on the stack for the
+    /// `data` field of the returned [`ContiguousNDArrayValue`] and copy contents of this ndarray to
+    /// there.
+    ///
+    /// If this ndarray is C-contiguous, contents of this ndarray will not be copied. The created
+    /// [`ContiguousNDArrayValue`] will share memory with this ndarray.
+    pub fn make_contiguous_ndarray<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+    ) -> ContiguousNDArrayValue<'ctx> {
+        let result =
+            ContiguousNDArrayType::new(ctx, &self.dtype).alloca_var(generator, ctx, self.name);
+
+        // Set ndims and shape.
+        let ndims = self.llvm_usize.const_int(self.ndims, false);
+        result.store_ndims(ctx, ndims);
+
+        let shape = self.shape();
+        result.store_shape(ctx, shape.base_ptr(ctx, generator));
+
+        gen_if_callback(
+            generator,
+            ctx,
+            |_, ctx| Ok(self.is_c_contiguous(ctx)),
+            |_, ctx| {
+                // This ndarray is contiguous.
+                let data = self.data_field().load(ctx, self.as_abi_value(ctx), self.name);
+                let data = ctx
+                    .builder
+                    .build_pointer_cast(data, result.item.ptr_type(AddressSpace::default()), "")
+                    .unwrap();
+                result.store_data(ctx, data);
+
+                Ok(())
+            },
+            |generator, ctx| {
+                // This ndarray is not contiguous. Do a full-copy on `data`. `make_copy` produces an
+                // ndarray with contiguous `data`.
+                let copied_ndarray = self.make_copy(generator, ctx);
+                let data = copied_ndarray.data().base_ptr(ctx, generator);
+                let data = ctx
+                    .builder
+                    .build_pointer_cast(data, result.item.ptr_type(AddressSpace::default()), "")
+                    .unwrap();
+                result.store_data(ctx, data);
+
+                Ok(())
+            },
+        )
+        .unwrap();
+
+        result
+    }
+
+    /// Create an [`NDArrayValue`] from a [`ContiguousNDArrayValue`].
+    ///
+    /// The operation is cheap. The newly created [`NDArrayValue`] will share the same memory as the
+    /// [`ContiguousNDArrayValue`].
+    ///
+    /// `ndims` has to be provided as [`NDArrayValue`] requires a statically known `ndims` value,
+    /// despite the fact that the information should be contained within the
+    /// [`ContiguousNDArrayValue`].
+    pub fn from_contiguous_ndarray<G: CodeGenerator + ?Sized>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        carray: ContiguousNDArrayValue<'ctx>,
+        ndims: u64,
+    ) -> Self {
+        // TODO: Debug assert `ndims == carray.ndims` to catch bugs.
+
+        // Allocate the resulting ndarray.
+        let ndarray = NDArrayType::new(ctx, carray.item, ndims).construct_uninitialized(
+            generator,
+            ctx,
+            carray.name,
+        );
+
+        // Copy shape and update strides
+        let shape = carray.load_shape(ctx);
+        ndarray.copy_shape_from_array(generator, ctx, shape);
+        ndarray.set_strides_contiguous(ctx);
+
+        // Share data
+        let data = carray.load_data(ctx);
+        ndarray.store_data(
+            ctx,
+            ctx.builder
+                .build_pointer_cast(data, ctx.ctx.i8_type().ptr_type(AddressSpace::default()), "")
+                .unwrap(),
+        );
+
+        ndarray
+    }
+}

nac3core/src/codegen/values/ndarray/fold.rs

@@ -0,0 +1,101 @@
+use inkwell::values::{BasicValue, BasicValueEnum};
+
+use super::{NDArrayValue, NDIterValue, ScalarOrNDArray};
+use crate::codegen::{
+    stmt::{gen_for_callback, BreakContinueHooks},
+    types::ndarray::NDIterType,
+    CodeGenContext, CodeGenerator,
+};
+
+impl<'ctx> NDArrayValue<'ctx> {
+    /// Folds the elements of this ndarray into an accumulator value by applying `f`, returning the
+    /// final value.
+    ///
+    /// `f` has access to [`BreakContinueHooks`] to short-circuit the `fold` operation, an instance
+    /// of `V` representing the current accumulated value, and an [`NDIterValue`] to get the
+    /// properties of the current iterated element.
+    pub fn fold<'a, G, V, F>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        init: V,
+        f: F,
+    ) -> Result<V, String>
+    where
+        G: CodeGenerator + ?Sized,
+        V: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>>,
+        <V as TryFrom<BasicValueEnum<'ctx>>>::Error: std::fmt::Debug,
+        F: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            BreakContinueHooks<'ctx>,
+            V,
+            NDIterValue<'ctx>,
+        ) -> Result<V, String>,
+    {
+        let acc_ptr =
+            generator.gen_var_alloc(ctx, init.as_basic_value_enum().get_type(), None).unwrap();
+        ctx.builder.build_store(acc_ptr, init).unwrap();
+
+        gen_for_callback(
+            generator,
+            ctx,
+            Some("ndarray_fold"),
+            |generator, ctx| Ok(NDIterType::new(ctx).construct(generator, ctx, *self)),
+            |_, ctx, nditer| Ok(nditer.has_element(ctx)),
+            |generator, ctx, hooks, nditer| {
+                let acc = V::try_from(ctx.builder.build_load(acc_ptr, "").unwrap()).unwrap();
+                let acc = f(generator, ctx, hooks, acc, nditer)?;
+                ctx.builder.build_store(acc_ptr, acc).unwrap();
+                Ok(())
+            },
+            |_, ctx, nditer| {
+                nditer.next(ctx);
+                Ok(())
+            },
+        )?;
+
+        let acc = ctx.builder.build_load(acc_ptr, "").unwrap();
+        Ok(V::try_from(acc).unwrap())
+    }
+}
+
+impl<'ctx> ScalarOrNDArray<'ctx> {
+    /// See [`NDArrayValue::fold`].
+    ///
+    /// The primary differences between this function and `NDArrayValue::fold` are:
+    ///
+    /// - The 3rd parameter of `f` is an `Option` of hooks, since `break`/`continue` hooks are not
+    ///   available if this instance represents a scalar value.
+    /// - The 5th parameter of `f` is a [`BasicValueEnum`], since no [iterator][`NDIterValue`] will
+    ///   be created if this instance represents a scalar value.
+    pub fn fold<'a, G, V, F>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        init: V,
+        f: F,
+    ) -> Result<V, String>
+    where
+        G: CodeGenerator + ?Sized,
+        V: BasicValue<'ctx> + TryFrom<BasicValueEnum<'ctx>>,
+        <V as TryFrom<BasicValueEnum<'ctx>>>::Error: std::fmt::Debug,
+        F: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            Option<&BreakContinueHooks<'ctx>>,
+            V,
+            BasicValueEnum<'ctx>,
+        ) -> Result<V, String>,
+    {
+        match self {
+            ScalarOrNDArray::Scalar(v) => f(generator, ctx, None, init, *v),
+            ScalarOrNDArray::NDArray(v) => {
+                v.fold(generator, ctx, init, |generator, ctx, hooks, acc, nditer| {
+                    let elem = nditer.get_scalar(ctx);
+                    f(generator, ctx, Some(&hooks), acc, elem)
+                })
+            }
+        }
+    }
+}

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

@@ -0,0 +1,278 @@
+use inkwell::{
+    types::IntType,
+    values::{IntValue, PointerValue, StructValue},
+    AddressSpace,
+};
+use itertools::Itertools;
+
+use nac3parser::ast::{Expr, ExprKind};
+
+use crate::{
+    codegen::{
+        irrt,
+        types::{
+            ndarray::{NDArrayType, NDIndexType},
+            structure::{StructField, StructProxyType},
+            utils::SliceType,
+        },
+        values::{
+            ndarray::NDArrayValue, structure::StructProxyValue, utils::RustSlice, ProxyValue,
+        },
+        CodeGenContext, CodeGenerator,
+    },
+    typecheck::typedef::Type,
+};
+
+/// An IRRT representation of an ndarray subscript index.
+#[derive(Copy, Clone)]
+pub struct NDIndexValue<'ctx> {
+    value: PointerValue<'ctx>,
+    llvm_usize: IntType<'ctx>,
+    name: Option<&'ctx str>,
+}
+
+impl<'ctx> NDIndexValue<'ctx> {
+    /// Creates an [`NDIndexValue`] from a [`StructValue`].
+    #[must_use]
+    pub fn from_struct_value<G: CodeGenerator + ?Sized>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        val: StructValue<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        let pval = generator
+            .gen_var_alloc(
+                ctx,
+                val.get_type().into(),
+                name.map(|name| format!("{name}.addr")).as_deref(),
+            )
+            .unwrap();
+        ctx.builder.build_store(pval, val).unwrap();
+        Self::from_pointer_value(pval, llvm_usize, name)
+    }
+
+    /// Creates an [`NDIndexValue`] from a [`PointerValue`].
+    #[must_use]
+    pub fn from_pointer_value(
+        ptr: PointerValue<'ctx>,
+        llvm_usize: IntType<'ctx>,
+        name: Option<&'ctx str>,
+    ) -> Self {
+        debug_assert!(Self::is_instance(ptr, llvm_usize).is_ok());
+
+        Self { value: ptr, llvm_usize, name }
+    }
+
+    fn type_field(&self) -> StructField<'ctx, IntValue<'ctx>> {
+        self.get_type().get_fields().type_
+    }
+
+    pub fn load_type(&self, ctx: &CodeGenContext<'ctx, '_>) -> IntValue<'ctx> {
+        self.type_field().load(ctx, self.value, self.name)
+    }
+
+    pub fn store_type(&self, ctx: &CodeGenContext<'ctx, '_>, value: IntValue<'ctx>) {
+        self.type_field().store(ctx, self.value, value, self.name);
+    }
+
+    fn data_field(&self) -> StructField<'ctx, PointerValue<'ctx>> {
+        self.get_type().get_fields().data
+    }
+
+    pub fn load_data(&self, ctx: &CodeGenContext<'ctx, '_>) -> PointerValue<'ctx> {
+        self.data_field().load(ctx, self.value, self.name)
+    }
+
+    pub fn store_data(&self, ctx: &CodeGenContext<'ctx, '_>, value: PointerValue<'ctx>) {
+        self.data_field().store(ctx, self.value, value, self.name);
+    }
+}
+
+impl<'ctx> ProxyValue<'ctx> for NDIndexValue<'ctx> {
+    type ABI = PointerValue<'ctx>;
+    type Base = PointerValue<'ctx>;
+    type Type = NDIndexType<'ctx>;
+
+    fn get_type(&self) -> Self::Type {
+        Self::Type::from_pointer_type(self.value.get_type(), self.llvm_usize)
+    }
+
+    fn as_base_value(&self) -> Self::Base {
+        self.value
+    }
+
+    fn as_abi_value(&self, _: &CodeGenContext<'ctx, '_>) -> Self::ABI {
+        self.as_base_value()
+    }
+}
+
+impl<'ctx> StructProxyValue<'ctx> for NDIndexValue<'ctx> {}
+
+impl<'ctx> From<NDIndexValue<'ctx>> for PointerValue<'ctx> {
+    fn from(value: NDIndexValue<'ctx>) -> Self {
+        value.as_base_value()
+    }
+}
+
+impl<'ctx> NDArrayValue<'ctx> {
+    /// Get the expected `ndims` after indexing with `indices`.
+    #[must_use]
+    fn deduce_ndims_after_indexing_with(&self, indices: &[RustNDIndex<'ctx>]) -> u64 {
+        let mut ndims = self.ndims;
+
+        for index in indices {
+            match index {
+                RustNDIndex::SingleElement(_) => {
+                    ndims -= 1; // Single elements decrements ndims
+                }
+                RustNDIndex::NewAxis => {
+                    ndims += 1; // `np.newaxis` / `none` adds a new axis
+                }
+                RustNDIndex::Ellipsis | RustNDIndex::Slice(_) => {}
+            }
+        }
+
+        ndims
+    }
+
+    /// Index into the ndarray, and return a newly-allocated view on this ndarray.
+    ///
+    /// This function behaves like NumPy's ndarray indexing, but if the indices index
+    /// into a single element, an unsized ndarray is returned.
+    #[must_use]
+    pub fn index<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        indices: &[RustNDIndex<'ctx>],
+    ) -> Self {
+        let dst_ndims = self.deduce_ndims_after_indexing_with(indices);
+        let dst_ndarray = NDArrayType::new(ctx, self.dtype, dst_ndims)
+            .construct_uninitialized(generator, ctx, None);
+
+        let indices = NDIndexType::new(ctx).construct_ndindices(generator, ctx, indices);
+        irrt::ndarray::call_nac3_ndarray_index(generator, ctx, indices, *self, dst_ndarray);
+
+        dst_ndarray
+    }
+}
+
+/// A convenience enum representing a [`NDIndexValue`].
+// TODO: Rename to CTConstNDIndex
+#[derive(Debug, Clone)]
+pub enum RustNDIndex<'ctx> {
+    SingleElement(IntValue<'ctx>),
+    Slice(RustSlice<'ctx>),
+    NewAxis,
+    Ellipsis,
+}
+
+impl<'ctx> RustNDIndex<'ctx> {
+    /// Generate LLVM code to transform an ndarray subscript expression to
+    /// its list of [`RustNDIndex`]
+    ///
+    /// i.e.,
+    /// ```python
+    /// my_ndarray[::3, 1, :2:]
+    ///            ^^^^^^^^^^^ Then these into a three `RustNDIndex`es
+    /// ```
+    pub fn from_subscript_expr<G: CodeGenerator>(
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        subscript: &Expr<Option<Type>>,
+    ) -> Result<Vec<RustNDIndex<'ctx>>, String> {
+        // Annoying notes about `slice`
+        //  - `my_array[5]`
+        //    - slice is a `Constant`
+        //  - `my_array[:5]`
+        //    - slice is a `Slice`
+        //  - `my_array[:]`
+        //    - slice is a `Slice`, but lower upper step would all be `Option::None`
+        //  - `my_array[:, :]`
+        //    - slice is now a `Tuple` of two `Slice`-s
+        //
+        // In summary:
+        //  - when there is a comma "," within [], `slice` will be a `Tuple` of the entries.
+        //  - when there is not comma "," within [] (i.e., just a single entry), `slice` will be that entry itself.
+        //
+        // So we first "flatten" out the slice expression
+        let index_exprs = match &subscript.node {
+            ExprKind::Tuple { elts, .. } => elts.iter().collect_vec(),
+            _ => vec![subscript],
+        };
+
+        // Process all index expressions
+        let mut rust_ndindices: Vec<RustNDIndex> = Vec::with_capacity(index_exprs.len()); // Not using iterators here because `?` is used here.
+        for index_expr in index_exprs {
+            // NOTE: Currently nac3core's slices do not have an object representation,
+            // so the code/implementation looks awkward - we have to do pattern matching on the expression
+            let ndindex = if let ExprKind::Slice { lower, upper, step } = &index_expr.node {
+                // Handle slices
+                let slice = RustSlice::from_slice_expr(generator, ctx, lower, upper, step)?;
+                RustNDIndex::Slice(slice)
+            } else {
+                // Treat and handle everything else as a single element index.
+                let index = generator.gen_expr(ctx, index_expr)?.unwrap().to_basic_value_enum(
+                    ctx,
+                    generator,
+                    ctx.primitives.int32, // Must be int32, this checks for illegal values
+                )?;
+                let index = index.into_int_value();
+
+                RustNDIndex::SingleElement(index)
+            };
+            rust_ndindices.push(ndindex);
+        }
+        Ok(rust_ndindices)
+    }
+
+    /// Get the value to set `NDIndex::type` for this variant.
+    #[must_use]
+    pub fn get_type_id(&self) -> u64 {
+        // Defined in IRRT, must be in sync
+        match self {
+            RustNDIndex::SingleElement(_) => 0,
+            RustNDIndex::Slice(_) => 1,
+            RustNDIndex::NewAxis => 2,
+            RustNDIndex::Ellipsis => 3,
+        }
+    }
+
+    /// Serialize this [`RustNDIndex`] by writing it into an LLVM [`NDIndexValue`].
+    pub fn write_to_ndindex<G: CodeGenerator + ?Sized>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        dst_ndindex: NDIndexValue<'ctx>,
+    ) {
+        let llvm_pi8 = ctx.ctx.i8_type().ptr_type(AddressSpace::default());
+
+        // Set `dst_ndindex.type`
+        dst_ndindex.store_type(ctx, ctx.ctx.i8_type().const_int(self.get_type_id(), false));
+
+        // Set `dst_ndindex_ptr->data`
+        match self {
+            RustNDIndex::SingleElement(in_index) => {
+                let index_ptr = ctx.builder.build_alloca(ctx.ctx.i32_type(), "").unwrap();
+                ctx.builder.build_store(index_ptr, *in_index).unwrap();
+
+                dst_ndindex.store_data(
+                    ctx,
+                    ctx.builder.build_pointer_cast(index_ptr, llvm_pi8, "").unwrap(),
+                );
+            }
+            RustNDIndex::Slice(in_rust_slice) => {
+                let user_slice_ptr =
+                    SliceType::new(ctx, ctx.ctx.i32_type()).alloca_var(generator, ctx, None);
+                in_rust_slice.write_to_slice(ctx, user_slice_ptr);
+
+                dst_ndindex.store_data(
+                    ctx,
+                    ctx.builder.build_pointer_cast(user_slice_ptr.into(), llvm_pi8, "").unwrap(),
+                );
+            }
+            RustNDIndex::NewAxis | RustNDIndex::Ellipsis => {}
+        }
+    }
+}

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

@@ -0,0 +1,69 @@
+use inkwell::{types::BasicTypeEnum, values::BasicValueEnum};
+
+use crate::codegen::{
+    values::{
+        ndarray::{NDArrayOut, NDArrayValue, ScalarOrNDArray},
+        ProxyValue,
+    },
+    CodeGenContext, CodeGenerator,
+};
+
+impl<'ctx> NDArrayValue<'ctx> {
+    /// Map through this ndarray with an elementwise function.
+    pub fn map<'a, G, Mapping>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        out: NDArrayOut<'ctx>,
+        mapping: Mapping,
+    ) -> Result<Self, String>
+    where
+        G: CodeGenerator + ?Sized,
+        Mapping: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            BasicValueEnum<'ctx>,
+        ) -> Result<BasicValueEnum<'ctx>, String>,
+    {
+        self.get_type().broadcast_starmap(
+            generator,
+            ctx,
+            &[*self],
+            out,
+            |generator, ctx, scalars| mapping(generator, ctx, scalars[0]),
+        )
+    }
+}
+
+impl<'ctx> ScalarOrNDArray<'ctx> {
+    /// Map through this [`ScalarOrNDArray`] with an elementwise function.
+    ///
+    /// If this is a scalar, `mapping` will directly act on the scalar. This function will return a
+    /// [`ScalarOrNDArray::Scalar`] of that result.
+    ///
+    /// If this is an ndarray, `mapping` will be applied to the elements of the ndarray. A new
+    /// ndarray of the results will be created and returned as a [`ScalarOrNDArray::NDArray`].
+    pub fn map<'a, G, Mapping>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, 'a>,
+        ret_dtype: BasicTypeEnum<'ctx>,
+        mapping: Mapping,
+    ) -> Result<ScalarOrNDArray<'ctx>, String>
+    where
+        G: CodeGenerator + ?Sized,
+        Mapping: FnOnce(
+            &mut G,
+            &mut CodeGenContext<'ctx, 'a>,
+            BasicValueEnum<'ctx>,
+        ) -> Result<BasicValueEnum<'ctx>, String>,
+    {
+        ScalarOrNDArray::broadcasting_starmap(
+            generator,
+            ctx,
+            &[*self],
+            ret_dtype,
+            |generator, ctx, scalars| mapping(generator, ctx, scalars[0]),
+        )
+    }
+}

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

@@ -0,0 +1,323 @@
+use std::cmp::max;
+
+use nac3parser::ast::Operator;
+
+use super::{NDArrayOut, NDArrayValue, RustNDIndex};
+use crate::{
+    codegen::{
+        expr::gen_binop_expr_with_values,
+        irrt,
+        stmt::gen_for_callback_incrementing,
+        types::ndarray::NDArrayType,
+        values::{
+            ArrayLikeValue, ArraySliceValue, TypedArrayLikeAccessor, TypedArrayLikeAdapter,
+            UntypedArrayLikeAccessor, UntypedArrayLikeMutator,
+        },
+        CodeGenContext, CodeGenerator,
+    },
+    toplevel::helper::arraylike_flatten_element_type,
+    typecheck::{magic_methods::Binop, typedef::Type},
+};
+
+/// Perform `np.einsum("...ij,...jk->...ik", in_a, in_b)`.
+///
+/// `dst_dtype` defines the dtype of the returned ndarray.
+fn matmul_at_least_2d<'ctx, G: CodeGenerator>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    dst_dtype: Type,
+    (in_a_ty, in_a): (Type, NDArrayValue<'ctx>),
+    (in_b_ty, in_b): (Type, NDArrayValue<'ctx>),
+) -> NDArrayValue<'ctx> {
+    assert!(in_a.ndims >= 2, "in_a (which is {}) must be >= 2", in_a.ndims);
+    assert!(in_b.ndims >= 2, "in_b (which is {}) must be >= 2", in_b.ndims);
+
+    let lhs_dtype = arraylike_flatten_element_type(&mut ctx.unifier, in_a_ty);
+    let rhs_dtype = arraylike_flatten_element_type(&mut ctx.unifier, in_b_ty);
+
+    let llvm_usize = ctx.get_size_type();
+    let llvm_dst_dtype = ctx.get_llvm_type(generator, dst_dtype);
+
+    // Deduce ndims of the result of matmul.
+    let ndims_int = max(in_a.ndims, in_b.ndims);
+    let ndims = llvm_usize.const_int(ndims_int, false);
+
+    // Broadcasts `in_a.shape[:-2]` and `in_b.shape[:-2]` together and allocate the
+    // destination ndarray to store the result of matmul.
+    let (lhs, rhs, dst) = {
+        let in_lhs_ndims = llvm_usize.const_int(in_a.ndims, false);
+        let in_lhs_shape = TypedArrayLikeAdapter::from(
+            ArraySliceValue::from_ptr_val(
+                in_a.shape().base_ptr(ctx, generator),
+                in_lhs_ndims,
+                None,
+            ),
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+        let in_rhs_ndims = llvm_usize.const_int(in_b.ndims, false);
+        let in_rhs_shape = TypedArrayLikeAdapter::from(
+            ArraySliceValue::from_ptr_val(
+                in_b.shape().base_ptr(ctx, generator),
+                in_rhs_ndims,
+                None,
+            ),
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+        let lhs_shape = TypedArrayLikeAdapter::from(
+            ArraySliceValue::from_ptr_val(
+                ctx.builder.build_array_alloca(llvm_usize, ndims, "").unwrap(),
+                ndims,
+                None,
+            ),
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+        let rhs_shape = TypedArrayLikeAdapter::from(
+            ArraySliceValue::from_ptr_val(
+                ctx.builder.build_array_alloca(llvm_usize, ndims, "").unwrap(),
+                ndims,
+                None,
+            ),
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+        let dst_shape = TypedArrayLikeAdapter::from(
+            ArraySliceValue::from_ptr_val(
+                ctx.builder.build_array_alloca(llvm_usize, ndims, "").unwrap(),
+                ndims,
+                None,
+            ),
+            |_, _, val| val.into_int_value(),
+            |_, _, val| val.into(),
+        );
+
+        // Matmul dimension compatibility is checked here.
+        irrt::ndarray::call_nac3_ndarray_matmul_calculate_shapes(
+            generator,
+            ctx,
+            &in_lhs_shape,
+            &in_rhs_shape,
+            ndims,
+            &lhs_shape,
+            &rhs_shape,
+            &dst_shape,
+        );
+
+        let lhs = in_a.broadcast_to(generator, ctx, ndims_int, &lhs_shape);
+        let rhs = in_b.broadcast_to(generator, ctx, ndims_int, &rhs_shape);
+
+        let dst = NDArrayType::new(ctx, llvm_dst_dtype, ndims_int)
+            .construct_uninitialized(generator, ctx, None);
+        dst.copy_shape_from_array(generator, ctx, dst_shape.base_ptr(ctx, generator));
+        unsafe {
+            dst.create_data(generator, ctx);
+        }
+
+        (lhs, rhs, dst)
+    };
+
+    let len = unsafe {
+        lhs.shape().get_typed_unchecked(
+            ctx,
+            generator,
+            &llvm_usize.const_int(ndims_int - 1, false),
+            None,
+        )
+    };
+
+    let at_row = i64::try_from(ndims_int - 2).unwrap();
+    let at_col = i64::try_from(ndims_int - 1).unwrap();
+
+    let dst_dtype_llvm = ctx.get_llvm_type(generator, dst_dtype);
+    let dst_zero = dst_dtype_llvm.const_zero();
+
+    dst.foreach(generator, ctx, |generator, ctx, _, hdl| {
+        let pdst_ij = hdl.get_pointer(ctx);
+
+        ctx.builder.build_store(pdst_ij, dst_zero).unwrap();
+
+        let indices = hdl.get_indices::<G>();
+        let i = unsafe {
+            indices.get_unchecked(ctx, generator, &llvm_usize.const_int(at_row as u64, true), None)
+        };
+        let j = unsafe {
+            indices.get_unchecked(ctx, generator, &llvm_usize.const_int(at_col as u64, true), None)
+        };
+
+        let num_0 = llvm_usize.const_int(0, false);
+        let num_1 = llvm_usize.const_int(1, false);
+
+        gen_for_callback_incrementing(
+            generator,
+            ctx,
+            None,
+            num_0,
+            (len, false),
+            |generator, ctx, _, k| {
+                // `indices` is modified to index into `a` and `b`, and restored.
+                unsafe {
+                    indices.set_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_int(at_row as u64, true),
+                        i,
+                    );
+                    indices.set_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_int(at_col as u64, true),
+                        k.into(),
+                    );
+                }
+                let a_ik = unsafe { lhs.data().get_unchecked(ctx, generator, &indices, None) };
+
+                unsafe {
+                    indices.set_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_int(at_row as u64, true),
+                        k.into(),
+                    );
+                    indices.set_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_int(at_col as u64, true),
+                        j,
+                    );
+                }
+                let b_kj = unsafe { rhs.data().get_unchecked(ctx, generator, &indices, None) };
+
+                // Restore `indices`.
+                unsafe {
+                    indices.set_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_int(at_row as u64, true),
+                        i,
+                    );
+                    indices.set_unchecked(
+                        ctx,
+                        generator,
+                        &llvm_usize.const_int(at_col as u64, true),
+                        j,
+                    );
+                }
+
+                // x = a_[...]ik * b_[...]kj
+                let x = gen_binop_expr_with_values(
+                    generator,
+                    ctx,
+                    (&Some(lhs_dtype), a_ik),
+                    Binop::normal(Operator::Mult),
+                    (&Some(rhs_dtype), b_kj),
+                    ctx.current_loc,
+                )?
+                .unwrap()
+                .to_basic_value_enum(ctx, generator, dst_dtype)?;
+
+                // dst_[...]ij += x
+                let dst_ij = ctx.builder.build_load(pdst_ij, "").unwrap();
+                let dst_ij = gen_binop_expr_with_values(
+                    generator,
+                    ctx,
+                    (&Some(dst_dtype), dst_ij),
+                    Binop::normal(Operator::Add),
+                    (&Some(dst_dtype), x),
+                    ctx.current_loc,
+                )?
+                .unwrap()
+                .to_basic_value_enum(ctx, generator, dst_dtype)?;
+                ctx.builder.build_store(pdst_ij, dst_ij).unwrap();
+
+                Ok(())
+            },
+            num_1,
+        )
+    })
+    .unwrap();
+
+    dst
+}
+
+impl<'ctx> NDArrayValue<'ctx> {
+    /// Perform [`np.matmul`](https://numpy.org/doc/stable/reference/generated/numpy.matmul.html).
+    ///
+    /// This function always return an [`NDArrayValue`]. You may want to use
+    /// [`NDArrayValue::split_unsized`] to handle when the output could be a scalar.
+    ///
+    /// `dst_dtype` defines the dtype of the returned ndarray.
+    #[must_use]
+    pub fn matmul<G: CodeGenerator>(
+        &self,
+        generator: &mut G,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        self_ty: Type,
+        (other_ty, other): (Type, Self),
+        (out_dtype, out): (Type, NDArrayOut<'ctx>),
+    ) -> Self {
+        // Sanity check, but type inference should prevent this.
+        assert!(self.ndims > 0 && other.ndims > 0, "np.matmul disallows scalar input");
+
+        // If both arguments are 2-D they are multiplied like conventional matrices.
+        //
+        // If either argument is N-D, N > 2, it is treated as a stack of matrices residing in the
+        // last two indices and broadcast accordingly.
+        //
+        // If the first argument is 1-D, it is promoted to a matrix by prepending a 1 to its
+        // dimensions. After matrix multiplication the prepended 1 is removed.
+        //
+        // If the second argument is 1-D, it is promoted to a matrix by appending a 1 to its
+        // dimensions. After matrix multiplication the appended 1 is removed.
+
+        let new_a = if self.ndims == 1 {
+            // Prepend 1 to its dimensions
+            self.index(generator, ctx, &[RustNDIndex::NewAxis, RustNDIndex::Ellipsis])
+        } else {
+            *self
+        };
+
+        let new_b = if other.ndims == 1 {
+            // Append 1 to its dimensions
+            other.index(generator, ctx, &[RustNDIndex::Ellipsis, RustNDIndex::NewAxis])
+        } else {
+            other
+        };
+
+        // NOTE: `result` will always be a newly allocated ndarray.
+        // Current implementation cannot do in-place matrix muliplication.
+        let mut result =
+            matmul_at_least_2d(generator, ctx, out_dtype, (self_ty, new_a), (other_ty, new_b));
+
+        // Postprocessing on the result to remove prepended/appended axes.
+        let mut postindices = vec![];
+        let zero = ctx.ctx.i32_type().const_zero();
+
+        if self.ndims == 1 {
+            // Remove the prepended 1
+            postindices.push(RustNDIndex::SingleElement(zero));
+        }
+
+        if other.ndims == 1 {
+            // Remove the appended 1
+            postindices.push(RustNDIndex::Ellipsis);
+            postindices.push(RustNDIndex::SingleElement(zero));
+        }
+
+        if !postindices.is_empty() {
+            result = result.index(generator, ctx, &postindices);
+        }
+
+        match out {
+            NDArrayOut::NewNDArray { .. } => result,
+            NDArrayOut::WriteToNDArray { ndarray: out_ndarray } => {
+                let result_shape = result.shape();
+                out_ndarray.assert_can_be_written_by_out(generator, ctx, result_shape);
+
+                out_ndarray.copy_data_from(ctx, result);
+                out_ndarray
+            }
+        }
+    }
+}