core/codegen: fix bug in call_ceil function

- distinguish between setitem and getitem
- allow starred assignment targets, but the assigned value would be a tuple
- allow both [...] and (...) to be target lists

.gitignore

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

Cargo.lock

@@ -26,9 +26,9 @@ dependencies = [
 
 [[package]]
 name = "anstream"
-version = "0.6.14"
+version = "0.6.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "418c75fa768af9c03be99d17643f93f79bbba589895012a80e3452a19ddda15b"
+checksum = "64e15c1ab1f89faffbf04a634d5e1962e9074f2741eef6d97f3c4e322426d526"
 dependencies = [
  "anstyle",
  "anstyle-parse",
@@ -41,36 +41,36 @@ dependencies = [
 
 [[package]]
 name = "anstyle"
-version = "1.0.7"
+version = "1.0.8"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "038dfcf04a5feb68e9c60b21c9625a54c2c0616e79b72b0fd87075a056ae1d1b"
+checksum = "1bec1de6f59aedf83baf9ff929c98f2ad654b97c9510f4e70cf6f661d49fd5b1"
 
 [[package]]
 name = "anstyle-parse"
-version = "0.2.4"
+version = "0.2.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c03a11a9034d92058ceb6ee011ce58af4a9bf61491aa7e1e59ecd24bd40d22d4"
+checksum = "eb47de1e80c2b463c735db5b217a0ddc39d612e7ac9e2e96a5aed1f57616c1cb"
 dependencies = [
  "utf8parse",
 ]
 
 [[package]]
 name = "anstyle-query"
-version = "1.1.0"
+version = "1.1.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "ad186efb764318d35165f1758e7dcef3b10628e26d41a44bc5550652e6804391"
+checksum = "6d36fc52c7f6c869915e99412912f22093507da8d9e942ceaf66fe4b7c14422a"
 dependencies = [
- "windows-sys",
+ "windows-sys 0.52.0",
 ]
 
 [[package]]
 name = "anstyle-wincon"
-version = "3.0.3"
+version = "3.0.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "61a38449feb7068f52bb06c12759005cf459ee52bb4adc1d5a7c4322d716fb19"
+checksum = "5bf74e1b6e971609db8ca7a9ce79fd5768ab6ae46441c572e46cf596f59e57f8"
 dependencies = [
  "anstyle",
- "windows-sys",
+ "windows-sys 0.52.0",
 ]
 
 [[package]]
@@ -105,9 +105,9 @@ checksum = "349f9b6a179ed607305526ca489b34ad0a41aed5f7980fa90eb03160b69598fb"
 
 [[package]]
 name = "bitflags"
-version = "2.5.0"
+version = "2.6.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "cf4b9d6a944f767f8e5e0db018570623c85f3d925ac718db4e06d0187adb21c1"
+checksum = "b048fb63fd8b5923fc5aa7b340d8e156aec7ec02f0c78fa8a6ddc2613f6f71de"
 
 [[package]]
 name = "byteorder"
@@ -117,9 +117,9 @@ checksum = "1fd0f2584146f6f2ef48085050886acf353beff7305ebd1ae69500e27c67f64b"
 
 [[package]]
 name = "cc"
-version = "1.0.99"
+version = "1.1.7"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "96c51067fd44124faa7f870b4b1c969379ad32b2ba805aa959430ceaa384f695"
+checksum = "26a5c3fd7bfa1ce3897a3a3501d362b2d87b7f2583ebcb4a949ec25911025cbc"
 
 [[package]]
 name = "cfg-if"
@@ -129,9 +129,9 @@ checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
 
 [[package]]
 name = "clap"
-version = "4.5.7"
+version = "4.5.13"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5db83dced34638ad474f39f250d7fea9598bdd239eaced1bdf45d597da0f433f"
+checksum = "0fbb260a053428790f3de475e304ff84cdbc4face759ea7a3e64c1edd938a7fc"
 dependencies = [
  "clap_builder",
  "clap_derive",
@@ -139,9 +139,9 @@ dependencies = [
 
 [[package]]
 name = "clap_builder"
-version = "4.5.7"
+version = "4.5.13"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f7e204572485eb3fbf28f871612191521df159bc3e15a9f5064c66dba3a8c05f"
+checksum = "64b17d7ea74e9f833c7dbf2cbe4fb12ff26783eda4782a8975b72f895c9b4d99"
 dependencies = [
  "anstream",
  "anstyle",
@@ -151,27 +151,27 @@ dependencies = [
 
 [[package]]
 name = "clap_derive"
-version = "4.5.5"
+version = "4.5.13"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c780290ccf4fb26629baa7a1081e68ced113f1d3ec302fa5948f1c381ebf06c6"
+checksum = "501d359d5f3dcaf6ecdeee48833ae73ec6e42723a1e52419c79abf9507eec0a0"
 dependencies = [
  "heck 0.5.0",
  "proc-macro2",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
 name = "clap_lex"
-version = "0.7.1"
+version = "0.7.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "4b82cf0babdbd58558212896d1a4272303a57bdb245c2bf1147185fb45640e70"
+checksum = "1462739cb27611015575c0c11df5df7601141071f07518d56fcc1be504cbec97"
 
 [[package]]
 name = "colorchoice"
-version = "1.0.1"
+version = "1.0.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "0b6a852b24ab71dffc585bcb46eaf7959d175cb865a7152e35b348d1b2960422"
+checksum = "d3fd119d74b830634cea2a0f58bbd0d54540518a14397557951e79340abc28c0"
 
 [[package]]
 name = "console"
@@ -182,7 +182,7 @@ dependencies = [
  "encode_unicode",
  "lazy_static",
  "libc",
- "windows-sys",
+ "windows-sys 0.52.0",
 ]
 
 [[package]]
@@ -270,9 +270,9 @@ dependencies = [
 
 [[package]]
 name = "either"
-version = "1.12.0"
+version = "1.13.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3dca9240753cf90908d7e4aac30f630662b02aebaa1b58a3cadabdb23385b58b"
+checksum = "60b1af1c220855b6ceac025d3f6ecdd2b7c4894bfe9cd9bda4fbb4bc7c0d4cf0"
 
 [[package]]
 name = "ena"
@@ -302,7 +302,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "534c5cf6194dfab3db3242765c03bbe257cf92f22b38f6bc0c58d59108a820ba"
 dependencies = [
  "libc",
- "windows-sys",
+ "windows-sys 0.52.0",
 ]
 
 [[package]]
@@ -385,9 +385,9 @@ dependencies = [
 
 [[package]]
 name = "indexmap"
-version = "2.2.6"
+version = "2.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "168fb715dda47215e360912c096649d23d58bf392ac62f73919e831745e40f26"
+checksum = "de3fc2e30ba82dd1b3911c8de1ffc143c74a914a14e99514d7637e3099df5ea0"
 dependencies = [
  "equivalent",
  "hashbrown 0.14.5",
@@ -421,7 +421,7 @@ checksum = "4fa4d8d74483041a882adaa9a29f633253a66dde85055f0495c121620ac484b2"
 dependencies = [
  "proc-macro2",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
@@ -440,9 +440,9 @@ dependencies = [
 
 [[package]]
 name = "is_terminal_polyfill"
-version = "1.70.0"
+version = "1.70.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f8478577c03552c21db0e2724ffb8986a5ce7af88107e6be5d2ee6e158c12800"
+checksum = "7943c866cc5cd64cbc25b2e01621d07fa8eb2a1a23160ee81ce38704e97b8ecf"
 
 [[package]]
 name = "itertools"
@@ -501,9 +501,9 @@ dependencies = [
 
 [[package]]
 name = "lazy_static"
-version = "1.4.0"
+version = "1.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e2abad23fbc42b3700f2f279844dc832adb2b2eb069b2df918f455c4e18cc646"
+checksum = "bbd2bcb4c963f2ddae06a2efc7e9f3591312473c50c6685e1f298068316e66fe"
 
 [[package]]
 name = "libc"
@@ -513,9 +513,9 @@ checksum = "97b3888a4aecf77e811145cadf6eef5901f4782c53886191b2f693f24761847c"
 
 [[package]]
 name = "libloading"
-version = "0.8.3"
+version = "0.8.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "0c2a198fb6b0eada2a8df47933734e6d35d350665a33a3593d7164fa52c75c19"
+checksum = "4979f22fdb869068da03c9f7528f8297c6fd2606bc3a4affe42e6a823fdb8da4"
 dependencies = [
  "cfg-if",
  "windows-targets",
@@ -568,9 +568,9 @@ dependencies = [
 
 [[package]]
 name = "log"
-version = "0.4.21"
+version = "0.4.22"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "90ed8c1e510134f979dbc4f070f87d4313098b704861a105fe34231c70a3901c"
+checksum = "a7a70ba024b9dc04c27ea2f0c0548feb474ec5c54bba33a7f72f873a39d07b24"
 
 [[package]]
 name = "memchr"
@@ -616,7 +616,7 @@ name = "nac3core"
 version = "0.1.0"
 dependencies = [
  "crossbeam",
- "indexmap 2.2.6",
+ "indexmap 2.3.0",
  "indoc",
  "inkwell",
  "insta",
@@ -706,7 +706,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "b4c5cc86750666a3ed20bdaf5ca2a0344f9c67674cae0515bec2da16fbaa47db"
 dependencies = [
  "fixedbitset",
- "indexmap 2.2.6",
+ "indexmap 2.3.0",
 ]
 
 [[package]]
@@ -749,7 +749,7 @@ dependencies = [
  "phf_shared 0.11.2",
  "proc-macro2",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
@@ -778,15 +778,18 @@ checksum = "5be167a7af36ee22fe3115051bc51f6e6c7054c9348e28deb4f49bd6f705a315"
 
 [[package]]
 name = "portable-atomic"
-version = "1.6.0"
+version = "1.7.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7170ef9988bc169ba16dd36a7fa041e5c4cbeb6a35b76d4c03daded371eae7c0"
+checksum = "da544ee218f0d287a911e9c99a39a8c9bc8fcad3cb8db5959940044ecfc67265"
 
 [[package]]
 name = "ppv-lite86"
-version = "0.2.17"
+version = "0.2.20"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5b40af805b3121feab8a3c29f04d8ad262fa8e0561883e7653e024ae4479e6de"
+checksum = "77957b295656769bb8ad2b6a6b09d897d94f05c41b069aede1fcdaa675eaea04"
+dependencies = [
+ "zerocopy",
+]
 
 [[package]]
 name = "precomputed-hash"
@@ -796,9 +799,9 @@ checksum = "925383efa346730478fb4838dbe9137d2a47675ad789c546d150a6e1dd4ab31c"
 
 [[package]]
 name = "proc-macro2"
-version = "1.0.85"
+version = "1.0.86"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "22244ce15aa966053a896d1accb3a6e68469b97c7f33f284b99f0d576879fc23"
+checksum = "5e719e8df665df0d1c8fbfd238015744736151d4445ec0836b8e628aae103b77"
 dependencies = [
  "unicode-ident",
 ]
@@ -850,7 +853,7 @@ dependencies = [
  "proc-macro2",
  "pyo3-macros-backend",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
@@ -863,7 +866,7 @@ dependencies = [
  "proc-macro2",
  "pyo3-build-config",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
@@ -927,9 +930,9 @@ dependencies = [
 
 [[package]]
 name = "redox_syscall"
-version = "0.5.2"
+version = "0.5.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c82cf8cff14456045f55ec4241383baeff27af886adb72ffb2162f99911de0fd"
+checksum = "2a908a6e00f1fdd0dfd9c0eb08ce85126f6d8bbda50017e74bc4a4b7d4a926a4"
 dependencies = [
  "bitflags",
 ]
@@ -947,9 +950,9 @@ dependencies = [
 
 [[package]]
 name = "regex"
-version = "1.10.5"
+version = "1.10.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "b91213439dad192326a0d7c6ee3955910425f441d7038e0d6933b0aec5c4517f"
+checksum = "4219d74c6b67a3654a9fbebc4b419e22126d13d2f3c4a07ee0cb61ff79a79619"
 dependencies = [
  "aho-corasick",
  "memchr",
@@ -991,7 +994,7 @@ dependencies = [
  "errno",
  "libc",
  "linux-raw-sys",
- "windows-sys",
+ "windows-sys 0.52.0",
 ]
 
 [[package]]
@@ -1029,31 +1032,32 @@ checksum = "61697e0a1c7e512e84a621326239844a24d8207b4669b41bc18b32ea5cbf988b"
 
 [[package]]
 name = "serde"
-version = "1.0.203"
+version = "1.0.204"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7253ab4de971e72fb7be983802300c30b5a7f0c2e56fab8abfc6a214307c0094"
+checksum = "bc76f558e0cbb2a839d37354c575f1dc3fdc6546b5be373ba43d95f231bf7c12"
 dependencies = [
  "serde_derive",
 ]
 
 [[package]]
 name = "serde_derive"
-version = "1.0.203"
+version = "1.0.204"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "500cbc0ebeb6f46627f50f3f5811ccf6bf00643be300b4c3eabc0ef55dc5b5ba"
+checksum = "e0cd7e117be63d3c3678776753929474f3b04a43a080c744d6b0ae2a8c28e222"
 dependencies = [
  "proc-macro2",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
 name = "serde_json"
-version = "1.0.117"
+version = "1.0.122"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "455182ea6142b14f93f4bc5320a2b31c1f266b66a4a5c858b013302a5d8cbfc3"
+checksum = "784b6203951c57ff748476b126ccb5e8e2959a5c19e5c617ab1956be3dbc68da"
 dependencies = [
  "itoa",
+ "memchr",
  "ryu",
  "serde",
 ]
@@ -1072,9 +1076,9 @@ dependencies = [
 
 [[package]]
 name = "similar"
-version = "2.5.0"
+version = "2.6.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "fa42c91313f1d05da9b26f267f931cf178d4aba455b4c4622dd7355eb80c6640"
+checksum = "1de1d4f81173b03af4c0cbed3c898f6bff5b870e4a7f5d6f4057d62a7a4b686e"
 
 [[package]]
 name = "siphasher"
@@ -1120,9 +1124,9 @@ checksum = "7da8b5736845d9f2fcb837ea5d9e2628564b3b043a70948a3f0b778838c5fb4f"
 
 [[package]]
 name = "strum"
-version = "0.26.2"
+version = "0.26.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5d8cec3501a5194c432b2b7976db6b7d10ec95c253208b45f83f7136aa985e29"
+checksum = "8fec0f0aef304996cf250b31b5a10dee7980c85da9d759361292b8bca5a18f06"
 
 [[package]]
 name = "strum_macros"
@@ -1134,7 +1138,7 @@ dependencies = [
  "proc-macro2",
  "quote",
  "rustversion",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
@@ -1150,9 +1154,9 @@ dependencies = [
 
 [[package]]
 name = "syn"
-version = "2.0.66"
+version = "2.0.72"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c42f3f41a2de00b01c0aaad383c5a45241efc8b2d1eda5661812fda5f3cdcff5"
+checksum = "dc4b9b9bf2add8093d3f2c0204471e951b2285580335de42f9d2534f3ae7a8af"
 dependencies = [
  "proc-macro2",
  "quote",
@@ -1161,20 +1165,21 @@ dependencies = [
 
 [[package]]
 name = "target-lexicon"
-version = "0.12.14"
+version = "0.12.16"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e1fc403891a21bcfb7c37834ba66a547a8f402146eba7265b5a6d88059c9ff2f"
+checksum = "61c41af27dd6d1e27b1b16b489db798443478cef1f06a660c96db617ba5de3b1"
 
 [[package]]
 name = "tempfile"
-version = "3.10.1"
+version = "3.11.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "85b77fafb263dd9d05cbeac119526425676db3784113aa9295c88498cbf8bff1"
+checksum = "b8fcd239983515c23a32fb82099f97d0b11b8c72f654ed659363a95c3dad7a53"
 dependencies = [
  "cfg-if",
  "fastrand",
+ "once_cell",
  "rustix",
- "windows-sys",
+ "windows-sys 0.52.0",
 ]
 
 [[package]]
@@ -1203,22 +1208,22 @@ dependencies = [
 
 [[package]]
 name = "thiserror"
-version = "1.0.61"
+version = "1.0.63"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c546c80d6be4bc6a00c0f01730c08df82eaa7a7a61f11d656526506112cc1709"
+checksum = "c0342370b38b6a11b6cc11d6a805569958d54cfa061a29969c3b5ce2ea405724"
 dependencies = [
  "thiserror-impl",
 ]
 
 [[package]]
 name = "thiserror-impl"
-version = "1.0.61"
+version = "1.0.63"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "46c3384250002a6d5af4d114f2845d37b57521033f30d5c3f46c4d70e1197533"
+checksum = "a4558b58466b9ad7ca0f102865eccc95938dca1a74a856f2b57b6629050da261"
 dependencies = [
  "proc-macro2",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]
 
 [[package]]
@@ -1336,9 +1341,9 @@ checksum = "06abde3611657adf66d383f00b093d7faecc7fa57071cce2578660c9f1010821"
 
 [[package]]
 name = "version_check"
-version = "0.9.4"
+version = "0.9.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "49874b5167b65d7193b8aba1567f5c7d93d001cafc34600cee003eda787e483f"
+checksum = "0b928f33d975fc6ad9f86c8f283853ad26bdd5b10b7f1542aa2fa15e2289105a"
 
 [[package]]
 name = "walkdir"
@@ -1374,11 +1379,11 @@ checksum = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6"
 
 [[package]]
 name = "winapi-util"
-version = "0.1.8"
+version = "0.1.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "4d4cc384e1e73b93bafa6fb4f1df8c41695c8a91cf9c4c64358067d15a7b6c6b"
+checksum = "cf221c93e13a30d793f7645a0e7762c55d169dbb0a49671918a2319d289b10bb"
 dependencies = [
- "windows-sys",
+ "windows-sys 0.59.0",
 ]
 
 [[package]]
@@ -1397,10 +1402,19 @@ dependencies = [
 ]
 
 [[package]]
-name = "windows-targets"
+name = "windows-sys"
-version = "0.52.5"
+version = "0.59.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6f0713a46559409d202e70e28227288446bf7841d3211583a4b53e3f6d96e7eb"
+checksum = "1e38bc4d79ed67fd075bcc251a1c39b32a1776bbe92e5bef1f0bf1f8c531853b"
+dependencies = [
+ "windows-targets",
+]
+
+[[package]]
+name = "windows-targets"
+version = "0.52.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9b724f72796e036ab90c1021d4780d4d3d648aca59e491e6b98e725b84e99973"
 dependencies = [
  "windows_aarch64_gnullvm",
  "windows_aarch64_msvc",
@@ -1414,51 +1428,51 @@ dependencies = [
 
 [[package]]
 name = "windows_aarch64_gnullvm"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7088eed71e8b8dda258ecc8bac5fb1153c5cffaf2578fc8ff5d61e23578d3263"
+checksum = "32a4622180e7a0ec044bb555404c800bc9fd9ec262ec147edd5989ccd0c02cd3"
 
 [[package]]
 name = "windows_aarch64_msvc"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "9985fd1504e250c615ca5f281c3f7a6da76213ebd5ccc9561496568a2752afb6"
+checksum = "09ec2a7bb152e2252b53fa7803150007879548bc709c039df7627cabbd05d469"
 
 [[package]]
 name = "windows_i686_gnu"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "88ba073cf16d5372720ec942a8ccbf61626074c6d4dd2e745299726ce8b89670"
+checksum = "8e9b5ad5ab802e97eb8e295ac6720e509ee4c243f69d781394014ebfe8bbfa0b"
 
 [[package]]
 name = "windows_i686_gnullvm"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "87f4261229030a858f36b459e748ae97545d6f1ec60e5e0d6a3d32e0dc232ee9"
+checksum = "0eee52d38c090b3caa76c563b86c3a4bd71ef1a819287c19d586d7334ae8ed66"
 
 [[package]]
 name = "windows_i686_msvc"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "db3c2bf3d13d5b658be73463284eaf12830ac9a26a90c717b7f771dfe97487bf"
+checksum = "240948bc05c5e7c6dabba28bf89d89ffce3e303022809e73deaefe4f6ec56c66"
 
 [[package]]
 name = "windows_x86_64_gnu"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "4e4246f76bdeff09eb48875a0fd3e2af6aada79d409d33011886d3e1581517d9"
+checksum = "147a5c80aabfbf0c7d901cb5895d1de30ef2907eb21fbbab29ca94c5b08b1a78"
 
 [[package]]
 name = "windows_x86_64_gnullvm"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "852298e482cd67c356ddd9570386e2862b5673c85bd5f88df9ab6802b334c596"
+checksum = "24d5b23dc417412679681396f2b49f3de8c1473deb516bd34410872eff51ed0d"
 
 [[package]]
 name = "windows_x86_64_msvc"
-version = "0.52.5"
+version = "0.52.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "bec47e5bfd1bff0eeaf6d8b485cc1074891a197ab4225d504cb7a1ab88b02bf0"
+checksum = "589f6da84c646204747d1270a2a5661ea66ed1cced2631d546fdfb155959f9ec"
 
 [[package]]
 name = "yaml-rust"
@@ -1471,20 +1485,21 @@ dependencies = [
 
 [[package]]
 name = "zerocopy"
-version = "0.7.34"
+version = "0.7.35"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "ae87e3fcd617500e5d106f0380cf7b77f3c6092aae37191433159dda23cfb087"
+checksum = "1b9b4fd18abc82b8136838da5d50bae7bdea537c574d8dc1a34ed098d6c166f0"
 dependencies = [
+ "byteorder",
  "zerocopy-derive",
 ]
 
 [[package]]
 name = "zerocopy-derive"
-version = "0.7.34"
+version = "0.7.35"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "15e934569e47891f7d9411f1a451d947a60e000ab3bd24fbb970f000387d1b3b"
+checksum = "fa4f8080344d4671fb4e831a13ad1e68092748387dfc4f55e356242fae12ce3e"
 dependencies = [
  "proc-macro2",
  "quote",
- "syn 2.0.66",
+ "syn 2.0.72",
 ]

flake.lock

@@ -2,11 +2,11 @@
   "nodes": {
     "nixpkgs": {
       "locked": {
-        "lastModified": 1718530797,
+        "lastModified": 1721924956,
-        "narHash": "sha256-pup6cYwtgvzDpvpSCFh1TEUjw2zkNpk8iolbKnyFmmU=",
+        "narHash": "sha256-Sb1jlyRO+N8jBXEX9Pg9Z1Qb8Bw9QyOgLDNMEpmjZ2M=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "b60ebf54c15553b393d144357375ea956f89e9a9",
+        "rev": "5ad6a14c6bf098e98800b091668718c336effc95",
         "type": "github"
       },
       "original": {

flake.nix

@@ -6,6 +6,7 @@
   outputs = { self, nixpkgs }:
     let
       pkgs = import nixpkgs { system = "x86_64-linux"; };
+      pkgs32 = import nixpkgs { system = "i686-linux"; };
     in rec {
       packages.x86_64-linux = rec {
         llvm-nac3 = pkgs.callPackage ./nix/llvm {};
@@ -15,6 +16,22 @@
           ln -s ${pkgs.llvmPackages_14.clang-unwrapped}/bin/clang $out/bin/clang-irrt
           ln -s ${pkgs.llvmPackages_14.llvm.out}/bin/llvm-as $out/bin/llvm-as-irrt
           '';
+        demo-linalg-stub = pkgs.rustPlatform.buildRustPackage {
+          name = "demo-linalg-stub";
+          src = ./nac3standalone/demo/linalg;
+          cargoLock = {
+            lockFile = ./nac3standalone/demo/linalg/Cargo.lock;
+          };
+          doCheck = false;
+        };
+        demo-linalg-stub32 = pkgs32.rustPlatform.buildRustPackage {
+          name = "demo-linalg-stub32";
+          src = ./nac3standalone/demo/linalg;
+          cargoLock = {
+            lockFile = ./nac3standalone/demo/linalg/Cargo.lock;
+          };
+          doCheck = false;
+        };
         nac3artiq = pkgs.python3Packages.toPythonModule (
           pkgs.rustPlatform.buildRustPackage rec {
             name = "nac3artiq";
@@ -24,7 +41,7 @@
               lockFile = ./Cargo.lock;
             };
             passthru.cargoLock = cargoLock;
-            nativeBuildInputs = [ pkgs.python3 pkgs.llvmPackages_14.clang llvm-tools-irrt pkgs.llvmPackages_14.llvm.out llvm-nac3 ];
+            nativeBuildInputs = [ pkgs.python3 (pkgs.wrapClangMulti pkgs.llvmPackages_14.clang) llvm-tools-irrt pkgs.llvmPackages_14.llvm.out llvm-nac3 ];
             buildInputs = [ pkgs.python3 llvm-nac3 ];
             checkInputs = [ (pkgs.python3.withPackages(ps: [ ps.numpy ps.scipy ])) ];
             checkPhase =
@@ -32,7 +49,9 @@
               echo "Checking nac3standalone demos..."
               pushd nac3standalone/demo
               patchShebangs .
-              ./check_demos.sh
+              export DEMO_LINALG_STUB=${demo-linalg-stub}/lib/liblinalg.a
+              export DEMO_LINALG_STUB32=${demo-linalg-stub32}/lib/liblinalg.a
+              ./check_demos.sh -i686
               popd
               echo "Running Cargo tests..."
               cargoCheckHook
@@ -149,7 +168,7 @@
         buildInputs = with pkgs; [
           # build dependencies
           packages.x86_64-linux.llvm-nac3
-          llvmPackages_14.clang llvmPackages_14.llvm.out  # for running nac3standalone demos
+          (pkgs.wrapClangMulti llvmPackages_14.clang) llvmPackages_14.llvm.out  # for running nac3standalone demos
           packages.x86_64-linux.llvm-tools-irrt
           cargo
           rustc
@@ -162,6 +181,11 @@
           pre-commit
           rustfmt
         ];
+        shellHook =
+          ''
+          export DEMO_LINALG_STUB=${packages.x86_64-linux.demo-linalg-stub}/lib/liblinalg.a
+          export DEMO_LINALG_STUB32=${packages.x86_64-linux.demo-linalg-stub32}/lib/liblinalg.a
+          '';
       };
       devShells.x86_64-linux.msys2 = pkgs.mkShell {
         name = "nac3-dev-shell-msys2";

nac3artiq/demo/list_cmp.py

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

nac3artiq/src/codegen.rs

@@ -6,8 +6,8 @@ use nac3core::{
         CodeGenContext, CodeGenerator,
     },
     symbol_resolver::ValueEnum,
-    toplevel::{helper::PrimDef, DefinitionId, GenCall},
+    toplevel::{helper::PrimDef, numpy::unpack_ndarray_var_tys, DefinitionId, GenCall},
-    typecheck::typedef::{FunSignature, FuncArg, Type, TypeEnum, VarMap},
+    typecheck::typedef::{iter_type_vars, FunSignature, FuncArg, Type, TypeEnum, VarMap},
 };
 
 use nac3parser::ast::{Expr, ExprKind, Located, Stmt, StmtKind, StrRef};
@@ -23,7 +23,6 @@ use pyo3::{
 
 use crate::{symbol_resolver::InnerResolver, timeline::TimeFns};
 
-use nac3core::toplevel::numpy::unpack_ndarray_var_tys;
 use std::{
     collections::hash_map::DefaultHasher,
     collections::HashMap,
@@ -387,16 +386,18 @@ fn gen_rpc_tag(
     } else {
         let ty_enum = ctx.unifier.get_ty(ty);
         match &*ty_enum {
-            TTuple { ty } => {
+            TTuple { ty, is_vararg_ctx: false } => {
                 buffer.push(b't');
                 buffer.push(ty.len() as u8);
                 for ty in ty {
                     gen_rpc_tag(ctx, *ty, buffer)?;
                 }
             }
-            TList { ty } => {
+            TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+                let ty = iter_type_vars(params).next().unwrap().ty;
+
                 buffer.push(b'l');
-                gen_rpc_tag(ctx, *ty, buffer)?;
+                gen_rpc_tag(ctx, ty, buffer)?;
             }
             TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
                 let (ndarray_dtype, ndarray_ndims) = unpack_ndarray_var_tys(&mut ctx.unifier, ty);
@@ -675,8 +676,10 @@ pub fn attributes_writeback(
                         host_attributes.append(pydict)?;
                     }
                 }
-                TypeEnum::TList { ty: elem_ty } => {
+                TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
-                    if gen_rpc_tag(ctx, *elem_ty, &mut scratch_buffer).is_ok() {
+                    let elem_ty = iter_type_vars(params).next().unwrap().ty;
+
+                    if gen_rpc_tag(ctx, elem_ty, &mut scratch_buffer).is_ok() {
                         let pydict = PyDict::new(py);
                         pydict.set_item("obj", val)?;
                         host_attributes.append(pydict)?;
@@ -697,6 +700,7 @@ pub fn attributes_writeback(
                     name: i.to_string().into(),
                     ty: *ty,
                     default_value: None,
+                    is_vararg: false,
                 })
                 .collect(),
             ret: ctx.primitives.none,

nac3artiq/src/lib.rs

@@ -24,6 +24,7 @@ use std::rc::Rc;
 use std::sync::Arc;
 
 use inkwell::{
+    context::Context,
     memory_buffer::MemoryBuffer,
     module::{Linkage, Module},
     passes::PassBuilderOptions,
@@ -264,7 +265,7 @@ impl Nac3 {
                     arg_names.len(),
                 ));
             }
-            for (i, FuncArg { ty, default_value, name }) in args.iter().enumerate() {
+            for (i, FuncArg { ty, default_value, name, .. }) in args.iter().enumerate() {
                 let in_name = match arg_names.get(i) {
                     Some(n) => n,
                     None if default_value.is_none() => {
@@ -625,7 +626,9 @@ impl Nac3 {
             let buffer = buffer.as_slice().into();
             membuffer.lock().push(buffer);
         })));
-        let size_t = if self.isa == Isa::Host { 64 } else { 32 };
+        let size_t = Context::create()
+            .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
@@ -644,6 +647,9 @@ impl Nac3 {
                 ArtiqCodeGenerator::new("attributes_writeback".to_string(), size_t, self.time_fns);
             let context = inkwell::context::Context::create();
             let module = context.create_module("attributes_writeback");
+            let target_machine = self.llvm_options.create_target_machine().unwrap();
+            module.set_data_layout(&target_machine.get_target_data().get_data_layout());
+            module.set_triple(&target_machine.get_triple());
             let builder = context.create_builder();
             let (_, module, _) = gen_func_impl(
                 &context,
@@ -863,6 +869,7 @@ impl Nac3 {
                         name: "t".into(),
                         ty: primitive.int64,
                         default_value: None,
+                        is_vararg: false,
                     }],
                     ret: primitive.none,
                     vars: VarMap::new(),
@@ -882,6 +889,7 @@ impl Nac3 {
                         name: "dt".into(),
                         ty: primitive.int64,
                         default_value: None,
+                        is_vararg: false,
                     }],
                     ret: primitive.none,
                     vars: VarMap::new(),

nac3artiq/src/symbol_resolver.rs

@@ -329,8 +329,19 @@ impl InnerResolver {
             Ok(Ok((primitives.exception, true)))
         } else if ty_id == self.primitive_ids.list {
             // do not handle type var param and concrete check here
+            let list_tvar = if let TypeEnum::TObj { obj_id, params, .. } =
+                &*unifier.get_ty_immutable(primitives.list)
+            {
+                assert_eq!(*obj_id, PrimDef::List.id());
+                iter_type_vars(params).nth(0).unwrap()
+            } else {
+                unreachable!()
+            };
+
             let var = unifier.get_dummy_var().ty;
-            let list = unifier.add_ty(TypeEnum::TList { ty: var });
+            let list = unifier
+                .subst(primitives.list, &into_var_map([TypeVar { id: list_tvar.id, ty: var }]))
+                .unwrap();
             Ok(Ok((list, false)))
         } else if ty_id == self.primitive_ids.ndarray {
             // do not handle type var param and concrete check here
@@ -340,7 +351,7 @@ impl InnerResolver {
             Ok(Ok((ndarray, false)))
         } else if ty_id == self.primitive_ids.tuple {
             // do not handle type var param and concrete check here
-            Ok(Ok((unifier.add_ty(TypeEnum::TTuple { ty: vec![] }), false)))
+            Ok(Ok((unifier.add_ty(TypeEnum::TTuple { ty: vec![], is_vararg_ctx: false }), false)))
         } else if ty_id == self.primitive_ids.option {
             Ok(Ok((primitives.option, false)))
         } else if ty_id == self.primitive_ids.none {
@@ -460,7 +471,7 @@ impl InnerResolver {
                 };
 
             match &*unifier.get_ty(origin_ty) {
-                TypeEnum::TList { .. } => {
+                TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::List.id() => {
                     if args.len() == 1 {
                         let ty = match self.get_pyty_obj_type(
                             py,
@@ -477,7 +488,21 @@ impl InnerResolver {
                                 "type list should take concrete parameters in typevar range".into(),
                             ));
                         }
-                        Ok(Ok((unifier.add_ty(TypeEnum::TList { ty: ty.0 }), true)))
+                        let list_tvar = if let TypeEnum::TObj { obj_id, params, .. } =
+                            &*unifier.get_ty_immutable(primitives.list)
+                        {
+                            assert_eq!(*obj_id, PrimDef::List.id());
+                            iter_type_vars(params).nth(0).unwrap()
+                        } else {
+                            unreachable!()
+                        };
+                        let list = unifier
+                            .subst(
+                                primitives.list,
+                                &into_var_map([TypeVar { id: list_tvar.id, ty: ty.0 }]),
+                            )
+                            .unwrap();
+                        Ok(Ok((list, true)))
                     } else {
                         return Ok(Err(format!(
                             "type list needs exactly 1 type parameters, found {}",
@@ -530,7 +555,10 @@ impl InnerResolver {
                             Err(err) => return Ok(Err(err)),
                             _ => return Ok(Err("tuple type needs at least 1 type parameters".to_string()))
                         };
-                    Ok(Ok((unifier.add_ty(TypeEnum::TTuple { ty: args }), true)))
+                    Ok(Ok((
+                        unifier.add_ty(TypeEnum::TTuple { ty: args, is_vararg_ctx: false }),
+                        true,
+                    )))
                 }
                 TypeEnum::TObj { params, obj_id, .. } => {
                     let subst = {
@@ -693,11 +721,12 @@ impl InnerResolver {
         };
         match (&*unifier.get_ty(extracted_ty), inst_check) {
             // do the instantiation for these four types
-            (TypeEnum::TList { ty }, false) => {
+            (TypeEnum::TObj { obj_id, params, .. }, false) if *obj_id == PrimDef::List.id() => {
+                let ty = iter_type_vars(params).nth(0).unwrap().ty;
                 let len: usize = self.helper.len_fn.call1(py, (obj,))?.extract(py)?;
                 if len == 0 {
                     assert!(matches!(
-                        &*unifier.get_ty(*ty),
+                        &*unifier.get_ty(ty),
                         TypeEnum::TVar { fields: None, range, .. }
                             if range.is_empty()
                     ));
@@ -706,8 +735,25 @@ impl InnerResolver {
                     let actual_ty =
                         self.get_list_elem_type(py, obj, len, unifier, defs, primitives)?;
                     match actual_ty {
-                        Ok(t) => match unifier.unify(*ty, t) {
+                        Ok(t) => match unifier.unify(ty, t) {
-                            Ok(()) => Ok(Ok(unifier.add_ty(TypeEnum::TList { ty: *ty }))),
+                            Ok(()) => {
+                                let list_tvar = if let TypeEnum::TObj { obj_id, params, .. } =
+                                    &*unifier.get_ty_immutable(primitives.list)
+                                {
+                                    assert_eq!(*obj_id, PrimDef::List.id());
+                                    iter_type_vars(params).nth(0).unwrap()
+                                } else {
+                                    unreachable!()
+                                };
+                                let list = unifier
+                                    .subst(
+                                        primitives.list,
+                                        &into_var_map([TypeVar { id: list_tvar.id, ty }]),
+                                    )
+                                    .unwrap();
+                                Ok(Ok(list))
+                            }
+
                             Err(e) => Ok(Err(format!(
                                 "type error ({}) for the list",
                                 e.to_display(unifier)
@@ -754,7 +800,9 @@ impl InnerResolver {
                     .map(|elem| self.get_obj_type(py, elem, unifier, defs, primitives))
                     .collect();
                 let types = types?;
-                Ok(types.map(|types| unifier.add_ty(TypeEnum::TTuple { ty: types })))
+                Ok(types.map(|types| {
+                    unifier.add_ty(TypeEnum::TTuple { ty: types, is_vararg_ctx: false })
+                }))
             }
             // special handling for option type since its class member layout in python side
             // is special and cannot be mapped directly to a nac3 type as below
@@ -942,15 +990,21 @@ impl InnerResolver {
             }
 
             let len: usize = self.helper.len_fn.call1(py, (obj,))?.extract(py)?;
-            let elem_ty = if let TypeEnum::TList { ty } =
+            let elem_ty = match ctx.unifier.get_ty_immutable(expected_ty).as_ref() {
-                ctx.unifier.get_ty_immutable(expected_ty).as_ref()
+                TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
-            {
+                    iter_type_vars(params).nth(0).unwrap().ty
-                *ty
+                }
-            } else {
+                _ => unreachable!("must be list"),
-                unreachable!("must be list")
             };
-            let ty = ctx.get_llvm_type(generator, elem_ty);
             let size_t = generator.get_size_type(ctx.ctx);
+            let ty = if len == 0
+                && matches!(&*ctx.unifier.get_ty_immutable(elem_ty), TypeEnum::TVar { .. })
+            {
+                // The default type for zero-length lists of unknown element type is size_t
+                size_t.into()
+            } else {
+                ctx.get_llvm_type(generator, elem_ty)
+            };
             let arr_ty = ctx
                 .ctx
                 .struct_type(&[ty.ptr_type(AddressSpace::default()).into(), size_t.into()], false);
@@ -1154,7 +1208,9 @@ impl InnerResolver {
             Ok(Some(ndarray.as_pointer_value().into()))
         } else if ty_id == self.primitive_ids.tuple {
             let expected_ty_enum = ctx.unifier.get_ty_immutable(expected_ty);
-            let TypeEnum::TTuple { ty } = expected_ty_enum.as_ref() else { unreachable!() };
+            let TypeEnum::TTuple { ty, is_vararg_ctx: false } = expected_ty_enum.as_ref() else {
+                unreachable!()
+            };
 
             let tup_tys = ty.iter();
             let elements: &PyTuple = obj.downcast()?;

nac3ast/Cargo.toml

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

nac3core/build.rs

@@ -8,7 +8,7 @@ use std::{
 };
 
 fn main() {
-    const FILE: &str = "src/codegen/irrt/irrt.c";
+    const FILE: &str = "src/codegen/irrt/irrt.cpp";
 
     /*
      * HACK: Sadly, clang doesn't let us emit generic LLVM bitcode.
@@ -17,7 +17,11 @@ fn main() {
     let flags: &[&str] = &[
         "--target=wasm32",
         FILE,
+        "-x",
+        "c++",
         "-fno-discard-value-names",
+        "-fno-exceptions",
+        "-fno-rtti",
         match env::var("PROFILE").as_deref() {
             Ok("debug") => "-O0",
             Ok("release") => "-O3",

nac3core/src/codegen/builtin_fns.rs

@@ -1,9 +1,11 @@
 use inkwell::types::BasicTypeEnum;
-use inkwell::values::BasicValueEnum;
+use inkwell::values::{BasicValue, BasicValueEnum, PointerValue};
 use inkwell::{FloatPredicate, IntPredicate, OptimizationLevel};
 use itertools::Itertools;
 
-use crate::codegen::classes::{NDArrayValue, ProxyValue, UntypedArrayLikeAccessor};
+use crate::codegen::classes::{
+    NDArrayValue, ProxyValue, UntypedArrayLikeAccessor, UntypedArrayLikeMutator,
+};
 use crate::codegen::numpy::ndarray_elementwise_unaryop_impl;
 use crate::codegen::stmt::gen_for_callback_incrementing;
 use crate::codegen::{extern_fns, irrt, llvm_intrinsics, numpy, CodeGenContext, CodeGenerator};
@@ -31,7 +33,6 @@ pub fn call_int32<'ctx, G: CodeGenerator + ?Sized>(
     let llvm_usize = generator.get_size_type(ctx.ctx);
 
     let (n_ty, n) = n;
-
     Ok(match n {
         BasicValueEnum::IntValue(n) if matches!(n.get_type().get_bit_width(), 1 | 8) => {
             debug_assert!(ctx.unifier.unioned(n_ty, ctx.primitives.bool));
@@ -419,7 +420,7 @@ pub fn call_numpy_round<'ctx, G: CodeGenerator + ?Sized>(
         BasicValueEnum::FloatValue(n) => {
             debug_assert!(ctx.unifier.unioned(n_ty, ctx.primitives.float));
 
-            llvm_intrinsics::call_float_roundeven(ctx, n, None).into()
+            llvm_intrinsics::call_float_rint(ctx, n, None).into()
         }
 
         BasicValueEnum::PointerValue(n)
@@ -602,7 +603,7 @@ pub fn call_ceil<'ctx, G: CodeGenerator + ?Sized>(
                 ret_elem_ty,
                 None,
                 NDArrayValue::from_ptr_val(n, llvm_usize, None),
-                |generator, ctx, val| call_floor(generator, ctx, (elem_ty, val), ret_elem_ty),
+                |generator, ctx, val| call_ceil(generator, ctx, (elem_ty, val), ret_elem_ty),
             )?;
 
             ndarray.as_base_value().into()
@@ -661,90 +662,6 @@ pub fn call_min<'ctx>(
     }
 }
 
-/// Invokes the `np_min` builtin function.
-pub fn call_numpy_min<'ctx, G: CodeGenerator + ?Sized>(
-    generator: &mut G,
-    ctx: &mut CodeGenContext<'ctx, '_>,
-    a: (Type, BasicValueEnum<'ctx>),
-) -> Result<BasicValueEnum<'ctx>, String> {
-    const FN_NAME: &str = "np_min";
-
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-
-    let (a_ty, a) = a;
-
-    Ok(match a {
-        BasicValueEnum::IntValue(_) | BasicValueEnum::FloatValue(_) => {
-            debug_assert!([
-                ctx.primitives.bool,
-                ctx.primitives.int32,
-                ctx.primitives.uint32,
-                ctx.primitives.int64,
-                ctx.primitives.uint64,
-                ctx.primitives.float,
-            ]
-            .iter()
-            .any(|ty| ctx.unifier.unioned(a_ty, *ty)));
-
-            a
-        }
-
-        BasicValueEnum::PointerValue(n)
-            if a_ty.obj_id(&ctx.unifier).is_some_and(|id| id == PrimDef::NDArray.id()) =>
-        {
-            let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, a_ty);
-            let llvm_ndarray_ty = ctx.get_llvm_type(generator, elem_ty);
-
-            let n = NDArrayValue::from_ptr_val(n, llvm_usize, None);
-            let n_sz = irrt::call_ndarray_calc_size(generator, ctx, &n.dim_sizes(), (None, None));
-            if ctx.registry.llvm_options.opt_level == OptimizationLevel::None {
-                let n_sz_eqz = ctx
-                    .builder
-                    .build_int_compare(IntPredicate::NE, n_sz, n_sz.get_type().const_zero(), "")
-                    .unwrap();
-
-                ctx.make_assert(
-                    generator,
-                    n_sz_eqz,
-                    "0:ValueError",
-                    "zero-size array to reduction operation minimum which has no identity",
-                    [None, None, None],
-                    ctx.current_loc,
-                );
-            }
-
-            let accumulator_addr = generator.gen_var_alloc(ctx, llvm_ndarray_ty, None)?;
-            unsafe {
-                let identity =
-                    n.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None);
-                ctx.builder.build_store(accumulator_addr, identity).unwrap();
-            }
-
-            gen_for_callback_incrementing(
-                generator,
-                ctx,
-                llvm_usize.const_int(1, false),
-                (n_sz, false),
-                |generator, ctx, idx| {
-                    let elem = unsafe { n.data().get_unchecked(ctx, generator, &idx, None) };
-
-                    let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-                    let result = call_min(ctx, (elem_ty, accumulator), (elem_ty, elem));
-                    ctx.builder.build_store(accumulator_addr, result).unwrap();
-
-                    Ok(())
-                },
-                llvm_usize.const_int(1, false),
-            )?;
-
-            let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-            accumulator
-        }
-
-        _ => unsupported_type(ctx, FN_NAME, &[a_ty]),
-    })
-}
-
 /// Invokes the `np_minimum` builtin function.
 pub fn call_numpy_minimum<'ctx, G: CodeGenerator + ?Sized>(
     generator: &mut G,
@@ -877,18 +794,20 @@ pub fn call_max<'ctx>(
     }
 }
 
-/// Invokes the `np_max` builtin function.
+/// Invokes the `np_max`, `np_min`, `np_argmax`, `np_argmin` functions
-pub fn call_numpy_max<'ctx, G: CodeGenerator + ?Sized>(
+/// * `fn_name`: Can be one of `"np_argmin"`, `"np_argmax"`, `"np_max"`, `"np_min"`
+pub fn call_numpy_max_min<'ctx, G: CodeGenerator + ?Sized>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, '_>,
     a: (Type, BasicValueEnum<'ctx>),
+    fn_name: &str,
 ) -> Result<BasicValueEnum<'ctx>, String> {
-    const FN_NAME: &str = "np_max";
+    debug_assert!(["np_argmin", "np_argmax", "np_max", "np_min"].iter().any(|f| *f == fn_name));
 
+    let llvm_int64 = ctx.ctx.i64_type();
     let llvm_usize = generator.get_size_type(ctx.ctx);
 
     let (a_ty, a) = a;
-
     Ok(match a {
         BasicValueEnum::IntValue(_) | BasicValueEnum::FloatValue(_) => {
             debug_assert!([
@@ -902,9 +821,12 @@ pub fn call_numpy_max<'ctx, G: CodeGenerator + ?Sized>(
             .iter()
             .any(|ty| ctx.unifier.unioned(a_ty, *ty)));
 
-            a
+            match fn_name {
+                "np_argmin" | "np_argmax" => llvm_int64.const_zero().into(),
+                "np_max" | "np_min" => a,
+                _ => unreachable!(),
+            }
         }
-
         BasicValueEnum::PointerValue(n)
             if a_ty.obj_id(&ctx.unifier).is_some_and(|id| id == PrimDef::NDArray.id()) =>
         {
@@ -923,41 +845,82 @@ pub fn call_numpy_max<'ctx, G: CodeGenerator + ?Sized>(
                     generator,
                     n_sz_eqz,
                     "0:ValueError",
-                    "zero-size array to reduction operation minimum which has no identity",
+                    format!("zero-size array to reduction operation {fn_name}").as_str(),
                     [None, None, None],
                     ctx.current_loc,
                 );
             }
 
             let accumulator_addr = generator.gen_var_alloc(ctx, llvm_ndarray_ty, None)?;
+            let res_idx = generator.gen_var_alloc(ctx, llvm_int64.into(), None)?;
+
             unsafe {
                 let identity =
                     n.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None);
                 ctx.builder.build_store(accumulator_addr, identity).unwrap();
+                ctx.builder.build_store(res_idx, llvm_int64.const_zero()).unwrap();
             }
 
             gen_for_callback_incrementing(
                 generator,
                 ctx,
-                llvm_usize.const_int(1, false),
+                None,
+                llvm_int64.const_int(1, false),
                 (n_sz, false),
-                |generator, ctx, idx| {
+                |generator, ctx, _, idx| {
                     let elem = unsafe { n.data().get_unchecked(ctx, generator, &idx, None) };
-
                     let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
-                    let result = call_max(ctx, (elem_ty, accumulator), (elem_ty, elem));
+                    let cur_idx = ctx.builder.build_load(res_idx, "").unwrap();
+
+                    let result = match fn_name {
+                        "np_argmin" | "np_min" => {
+                            call_min(ctx, (elem_ty, accumulator), (elem_ty, elem))
+                        }
+                        "np_argmax" | "np_max" => {
+                            call_max(ctx, (elem_ty, accumulator), (elem_ty, elem))
+                        }
+                        _ => unreachable!(),
+                    };
+
+                    let updated_idx = match (accumulator, result) {
+                        (BasicValueEnum::IntValue(m), BasicValueEnum::IntValue(n)) => ctx
+                            .builder
+                            .build_select(
+                                ctx.builder.build_int_compare(IntPredicate::NE, m, n, "").unwrap(),
+                                idx.into(),
+                                cur_idx,
+                                "",
+                            )
+                            .unwrap(),
+                        (BasicValueEnum::FloatValue(m), BasicValueEnum::FloatValue(n)) => ctx
+                            .builder
+                            .build_select(
+                                ctx.builder
+                                    .build_float_compare(FloatPredicate::ONE, m, n, "")
+                                    .unwrap(),
+                                idx.into(),
+                                cur_idx,
+                                "",
+                            )
+                            .unwrap(),
+                        _ => unsupported_type(ctx, fn_name, &[elem_ty, elem_ty]),
+                    };
+                    ctx.builder.build_store(res_idx, updated_idx).unwrap();
                     ctx.builder.build_store(accumulator_addr, result).unwrap();
 
                     Ok(())
                 },
-                llvm_usize.const_int(1, false),
+                llvm_int64.const_int(1, false),
             )?;
 
-            let accumulator = ctx.builder.build_load(accumulator_addr, "").unwrap();
+            match fn_name {
-            accumulator
+                "np_argmin" | "np_argmax" => ctx.builder.build_load(res_idx, "").unwrap(),
+                "np_max" | "np_min" => ctx.builder.build_load(accumulator_addr, "").unwrap(),
+                _ => unreachable!(),
+            }
         }
 
-        _ => unsupported_type(ctx, FN_NAME, &[a_ty]),
+        _ => unsupported_type(ctx, fn_name, &[a_ty]),
     })
 }
 
@@ -1383,7 +1346,7 @@ create_helper_call_numpy_unary_elementwise_float_to_float!(
 create_helper_call_numpy_unary_elementwise_float_to_float!(
     call_numpy_rint,
     "np_rint",
-    llvm_intrinsics::call_float_roundeven
+    llvm_intrinsics::call_float_rint
 );
 
 create_helper_call_numpy_unary_elementwise_float_to_float!(
@@ -1874,3 +1837,501 @@ pub fn call_numpy_nextafter<'ctx, G: CodeGenerator + ?Sized>(
         _ => unsupported_type(ctx, FN_NAME, &[x1_ty, x2_ty]),
     })
 }
+
+/// Allocates a struct with the fields specified by `out_matrices` and returns a pointer to it
+fn build_output_struct<'ctx>(
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    out_matrices: Vec<BasicValueEnum<'ctx>>,
+) -> PointerValue<'ctx> {
+    let field_ty =
+        out_matrices.iter().map(BasicValueEnum::get_type).collect::<Vec<BasicTypeEnum>>();
+    let out_ty = ctx.ctx.struct_type(&field_ty, false);
+    let out_ptr = ctx.builder.build_alloca(out_ty, "").unwrap();
+
+    for (i, v) in out_matrices.into_iter().enumerate() {
+        unsafe {
+            let ptr = ctx
+                .builder
+                .build_in_bounds_gep(
+                    out_ptr,
+                    &[
+                        ctx.ctx.i32_type().const_zero(),
+                        ctx.ctx.i32_type().const_int(i as u64, false),
+                    ],
+                    "",
+                )
+                .unwrap();
+            ctx.builder.build_store(ptr, v).unwrap();
+        }
+    }
+    out_ptr
+}
+
+/// Invokes the `np_linalg_cholesky` linalg function
+pub fn call_np_linalg_cholesky<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_cholesky";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_cholesky(ctx, x1, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_qr` linalg function
+pub fn call_np_linalg_qr<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_qr";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unimplemented!("{FN_NAME} operates on float type NdArrays only");
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+        let k = llvm_intrinsics::call_int_smin(ctx, dim0, dim1, None);
+
+        let out_q = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, k])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_r = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[k, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_qr(ctx, x1, out_q, out_r, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_q, out_r]);
+
+        Ok(ctx.builder.build_load(out_ptr, "QR_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_svd` linalg function
+pub fn call_np_linalg_svd<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_svd";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+        let k = llvm_intrinsics::call_int_smin(ctx, dim0, dim1, None);
+
+        let out_u = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_s = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[k])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_vh = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim1, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_svd(ctx, x1, out_u, out_s, out_vh, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_u, out_s, out_vh]);
+
+        Ok(ctx.builder.build_load(out_ptr, "SVD_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_inv` linalg function
+pub fn call_np_linalg_inv<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_inv";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_inv(ctx, x1, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_pinv` linalg function
+pub fn call_np_linalg_pinv<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_pinv";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim1, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_pinv(ctx, x1, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `sp_linalg_lu` linalg function
+pub fn call_sp_linalg_lu<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "sp_linalg_lu";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let dim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+        let k = llvm_intrinsics::call_int_smin(ctx, dim0, dim1, None);
+
+        let out_l = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, k])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_u = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[k, dim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_sp_linalg_lu(ctx, x1, out_l, out_u, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_l, out_u]);
+        Ok(ctx.builder.build_load(out_ptr, "LU_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `np_linalg_matrix_power` linalg function
+pub fn call_np_linalg_matrix_power<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+    x2: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_matrix_power";
+    let (x1_ty, x1) = x1;
+    let (x2_ty, x2) = x2;
+    let x2 = call_float(generator, ctx, (x2_ty, x2)).unwrap();
+
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    if let (BasicValueEnum::PointerValue(n1), BasicValueEnum::FloatValue(n2)) = (x1, x2) {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty, x2_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        // Changing second parameter to a `NDArray` for uniformity in function call
+        let n2_array = numpy::create_ndarray_const_shape(
+            generator,
+            ctx,
+            elem_ty,
+            &[llvm_usize.const_int(1, false)],
+        )
+        .unwrap();
+        unsafe {
+            n2_array.data().set_unchecked(
+                ctx,
+                generator,
+                &llvm_usize.const_zero(),
+                n2.as_basic_value_enum(),
+            );
+        };
+        let n2_array = n2_array.as_base_value().as_basic_value_enum();
+
+        let outdim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let outdim1 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_int(1, false), None)
+                .into_int_value()
+        };
+
+        let out = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[outdim0, outdim1])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_np_linalg_matrix_power(ctx, x1, n2_array, out, None);
+        Ok(out)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty, x2_ty])
+    }
+}
+
+/// Invokes the `np_linalg_det` linalg function
+pub fn call_np_linalg_det<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "np_linalg_matrix_power";
+    let (x1_ty, x1) = x1;
+
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+    if let BasicValueEnum::PointerValue(_) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        // Changing second parameter to a `NDArray` for uniformity in function call
+        let out = numpy::create_ndarray_const_shape(
+            generator,
+            ctx,
+            elem_ty,
+            &[llvm_usize.const_int(1, false)],
+        )
+        .unwrap();
+        extern_fns::call_np_linalg_det(ctx, x1, out.as_base_value().as_basic_value_enum(), None);
+        let res =
+            unsafe { out.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None) };
+        Ok(res)
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `sp_linalg_schur` linalg function
+pub fn call_sp_linalg_schur<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "sp_linalg_schur";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let out_t = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_z = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+
+        extern_fns::call_sp_linalg_schur(ctx, x1, out_t, out_z, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_t, out_z]);
+        Ok(ctx.builder.build_load(out_ptr, "Schur_Factorization_result").map(Into::into).unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}
+
+/// Invokes the `sp_linalg_hessenberg` linalg function
+pub fn call_sp_linalg_hessenberg<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "sp_linalg_hessenberg";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1_elem_ty = ctx.get_llvm_type(generator, elem_ty);
+
+        let BasicTypeEnum::FloatType(_) = n1_elem_ty else {
+            unsupported_type(ctx, FN_NAME, &[x1_ty]);
+        };
+
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+
+        let dim0 = unsafe {
+            n1.dim_sizes()
+                .get_unchecked(ctx, generator, &llvm_usize.const_zero(), None)
+                .into_int_value()
+        };
+        let out_h = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        let out_q = numpy::create_ndarray_const_shape(generator, ctx, elem_ty, &[dim0, dim0])
+            .unwrap()
+            .as_base_value()
+            .as_basic_value_enum();
+        extern_fns::call_sp_linalg_hessenberg(ctx, x1, out_h, out_q, None);
+
+        let out_ptr = build_output_struct(ctx, vec![out_h, out_q]);
+        Ok(ctx
+            .builder
+            .build_load(out_ptr, "Hessenberg_decomposition_result")
+            .map(Into::into)
+            .unwrap())
+    } else {
+        unsupported_type(ctx, FN_NAME, &[x1_ty])
+    }
+}

nac3core/src/codegen/classes.rs

@@ -713,12 +713,25 @@ impl<'ctx> ListValue<'ctx> {
     /// If `size` is [None], the size stored in the field of this instance is used instead.
     pub fn create_data(
         &self,
-        ctx: &CodeGenContext<'ctx, '_>,
+        ctx: &mut CodeGenContext<'ctx, '_>,
         elem_ty: BasicTypeEnum<'ctx>,
         size: Option<IntValue<'ctx>>,
     ) {
         let size = size.unwrap_or_else(|| self.load_size(ctx, None));
-        self.store_data(ctx, ctx.builder.build_array_alloca(elem_ty, size, "").unwrap());
+
+        let data = ctx
+            .builder
+            .build_select(
+                ctx.builder
+                    .build_int_compare(IntPredicate::NE, size, self.llvm_usize.const_zero(), "")
+                    .unwrap(),
+                ctx.builder.build_array_alloca(elem_ty, size, "").unwrap(),
+                elem_ty.ptr_type(AddressSpace::default()).const_zero(),
+                "",
+            )
+            .map(BasicValueEnum::into_pointer_value)
+            .unwrap();
+        self.store_data(ctx, data);
     }
 
     /// Returns the double-indirection pointer to the `data` array, as if by calling `getelementptr`
@@ -1704,9 +1717,10 @@ impl<'ctx, Index: UntypedArrayLikeAccessor<'ctx>> ArrayLikeIndexer<'ctx, Index>
         gen_for_callback_incrementing(
             generator,
             ctx,
+            None,
             llvm_usize.const_zero(),
             (len, false),
-            |generator, ctx, i| {
+            |generator, ctx, _, i| {
                 let (dim_idx, dim_sz) = unsafe {
                     (
                         indices.get_unchecked(ctx, generator, &i, None).into_int_value(),

nac3core/src/codegen/concrete_type.rs

@@ -25,6 +25,7 @@ pub struct ConcreteFuncArg {
     pub name: StrRef,
     pub ty: ConcreteType,
     pub default_value: Option<SymbolValue>,
+    pub is_vararg: bool,
 }
 
 #[derive(Clone, Debug)]
@@ -46,9 +47,7 @@ pub enum ConcreteTypeEnum {
     TPrimitive(Primitive),
     TTuple {
         ty: Vec<ConcreteType>,
-    },
+        is_vararg_ctx: bool,
-    TList {
-        ty: ConcreteType,
     },
     TObj {
         obj_id: DefinitionId,
@@ -105,8 +104,16 @@ impl ConcreteTypeStore {
                 .iter()
                 .map(|arg| ConcreteFuncArg {
                     name: arg.name,
-                    ty: self.from_unifier_type(unifier, primitives, arg.ty, cache),
+                    ty: if arg.is_vararg {
+                        let tuple_ty = unifier
+                            .add_ty(TypeEnum::TTuple { ty: vec![arg.ty], is_vararg_ctx: true });
+
+                        self.from_unifier_type(unifier, primitives, tuple_ty, cache)
+                    } else {
+                        self.from_unifier_type(unifier, primitives, arg.ty, cache)
+                    },
                     default_value: arg.default_value.clone(),
+                    is_vararg: arg.is_vararg,
                 })
                 .collect(),
             ret: self.from_unifier_type(unifier, primitives, signature.ret, cache),
@@ -161,14 +168,12 @@ impl ConcreteTypeStore {
             cache.insert(ty, None);
             let ty_enum = unifier.get_ty(ty);
             let result = match &*ty_enum {
-                TypeEnum::TTuple { ty } => ConcreteTypeEnum::TTuple {
+                TypeEnum::TTuple { ty, is_vararg_ctx } => ConcreteTypeEnum::TTuple {
                     ty: ty
                         .iter()
                         .map(|t| self.from_unifier_type(unifier, primitives, *t, cache))
                         .collect(),
-                },
+                    is_vararg_ctx: *is_vararg_ctx,
-                TypeEnum::TList { ty } => ConcreteTypeEnum::TList {
-                    ty: self.from_unifier_type(unifier, primitives, *ty, cache),
                 },
                 TypeEnum::TObj { obj_id, fields, params } => ConcreteTypeEnum::TObj {
                     obj_id: *obj_id,
@@ -254,15 +259,13 @@ impl ConcreteTypeStore {
                 *cache.get_mut(&cty).unwrap() = Some(ty);
                 return ty;
             }
-            ConcreteTypeEnum::TTuple { ty } => TypeEnum::TTuple {
+            ConcreteTypeEnum::TTuple { ty, is_vararg_ctx } => TypeEnum::TTuple {
                 ty: ty
                     .iter()
                     .map(|cty| self.to_unifier_type(unifier, primitives, *cty, cache))
                     .collect(),
+                is_vararg_ctx: *is_vararg_ctx,
             },
-            ConcreteTypeEnum::TList { ty } => {
-                TypeEnum::TList { ty: self.to_unifier_type(unifier, primitives, *ty, cache) }
-            }
             ConcreteTypeEnum::TVirtual { ty } => {
                 TypeEnum::TVirtual { ty: self.to_unifier_type(unifier, primitives, *ty, cache) }
             }
@@ -286,6 +289,7 @@ impl ConcreteTypeStore {
                         name: arg.name,
                         ty: self.to_unifier_type(unifier, primitives, arg.ty, cache),
                         default_value: arg.default_value.clone(),
+                        is_vararg: false,
                     })
                     .collect(),
                 ret: self.to_unifier_type(unifier, primitives, *ret, cache),

nac3core/src/codegen/extern_fns.rs

@@ -4,514 +4,97 @@ use itertools::Either;
 
 use crate::codegen::CodeGenContext;
 
-/// Invokes the [`tan`](https://en.cppreference.com/w/c/numeric/math/tan) function.
+/// Macro to generate extern function
-pub fn call_tan<'ctx>(
+/// Both function return type and function parameter type are `FloatValue`
-    ctx: &CodeGenContext<'ctx, '_>,
+///
-    arg: FloatValue<'ctx>,
+/// Arguments:
+/// * `unary/binary`: Whether the extern function requires one (unary) or two (binary) operands
+/// * `$fn_name:ident`: The identifier of the rust function to be generated
+/// * `$extern_fn:literal`: Name of underlying extern function
+///
+/// Optional Arguments:
+/// * `$(,$attributes:literal)*)`: Attributes linked with the extern function
+/// The default attributes are "mustprogress", "nofree", "nounwind", "willreturn", and "writeonly"
+/// These will be used unless other attributes are specified
+/// * `$(,$args:ident)*`: Operands of the extern function
+/// The data type of these operands will be set to `FloatValue`
+///  
+macro_rules! generate_extern_fn {
+    ("unary", $fn_name:ident, $extern_fn:literal) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg, "mustprogress", "nofree", "nounwind", "willreturn", "writeonly");
+    };
+    ("unary", $fn_name:ident, $extern_fn:literal $(,$attributes:literal)*) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg $(,$attributes)*);
+    };
+    ("binary", $fn_name:ident, $extern_fn:literal) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg1, arg2, "mustprogress", "nofree", "nounwind", "willreturn", "writeonly");
+    };
+    ("binary", $fn_name:ident, $extern_fn:literal $(,$attributes:literal)*) => {
+        generate_extern_fn!($fn_name, $extern_fn, arg1, arg2 $(,$attributes)*);
+    };
+    ($fn_name:ident, $extern_fn:literal $(,$args:ident)* $(,$attributes:literal)*) => {
+        #[doc = concat!("Invokes the [`", stringify!($extern_fn), "`](https://en.cppreference.com/w/c/numeric/math/", stringify!($llvm_name), ") function." )]
+        pub fn $fn_name<'ctx>(
+            ctx: &CodeGenContext<'ctx, '_>
+            $(,$args: FloatValue<'ctx>)*,
             name: Option<&str>,
         ) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "tan";
+            const FN_NAME: &str = $extern_fn;
 
             let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
+            $(debug_assert_eq!($args.get_type(), llvm_f64);)*
 
             let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
+                let fn_type = llvm_f64.fn_type(&[$($args.get_type().into()),*], false);
                 let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
+                for attr in [$($attributes),*] {
                     func.add_attribute(
                         AttributeLoc::Function,
                         ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
                     );
                 }
-
                 func
             });
 
             ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
+                .build_call(extern_fn, &[$($args.into()),*], name.unwrap_or_default())
                 .map(CallSiteValue::try_as_basic_value)
                 .map(|v| v.map_left(BasicValueEnum::into_float_value))
                 .map(Either::unwrap_left)
                 .unwrap()
         }
+    };
+}
 
-/// Invokes the [`asin`](https://en.cppreference.com/w/c/numeric/math/asin) function.
+generate_extern_fn!("unary", call_tan, "tan");
-pub fn call_asin<'ctx>(
+generate_extern_fn!("unary", call_asin, "asin");
-    ctx: &CodeGenContext<'ctx, '_>,
+generate_extern_fn!("unary", call_acos, "acos");
-    arg: FloatValue<'ctx>,
+generate_extern_fn!("unary", call_atan, "atan");
-    name: Option<&str>,
+generate_extern_fn!("unary", call_sinh, "sinh");
-) -> FloatValue<'ctx> {
+generate_extern_fn!("unary", call_cosh, "cosh");
-    const FN_NAME: &str = "asin";
+generate_extern_fn!("unary", call_tanh, "tanh");
-
+generate_extern_fn!("unary", call_asinh, "asinh");
-    let llvm_f64 = ctx.ctx.f64_type();
+generate_extern_fn!("unary", call_acosh, "acosh");
-    debug_assert_eq!(arg.get_type(), llvm_f64);
+generate_extern_fn!("unary", call_atanh, "atanh");
-
+generate_extern_fn!("unary", call_expm1, "expm1");
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+generate_extern_fn!(
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
+    "unary",
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
+    call_cbrt,
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
+    "cbrt",
-            func.add_attribute(
+    "mustprogress",
-                AttributeLoc::Function,
+    "nofree",
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
+    "nosync",
+    "nounwind",
+    "readonly",
+    "willreturn"
 );
-        }
+generate_extern_fn!("unary", call_erf, "erf", "nounwind");
+generate_extern_fn!("unary", call_erfc, "erfc", "nounwind");
+generate_extern_fn!("unary", call_j1, "j1", "nounwind");
 
-        func
+generate_extern_fn!("binary", call_atan2, "atan2");
-    });
+generate_extern_fn!("binary", call_hypot, "hypot", "nounwind");
-
+generate_extern_fn!("binary", call_nextafter, "nextafter", "nounwind");
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`acos`](https://en.cppreference.com/w/c/numeric/math/acos) function.
-pub fn call_acos<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "acos";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`atan`](https://en.cppreference.com/w/c/numeric/math/atan) function.
-pub fn call_atan<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "atan";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`sinh`](https://en.cppreference.com/w/c/numeric/math/sinh) function.
-pub fn call_sinh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "sinh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`cosh`](https://en.cppreference.com/w/c/numeric/math/cosh) function.
-pub fn call_cosh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "cosh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`tanh`](https://en.cppreference.com/w/c/numeric/math/tanh) function.
-pub fn call_tanh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "tanh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`asinh`](https://en.cppreference.com/w/c/numeric/math/asinh) function.
-pub fn call_asinh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "asinh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`acosh`](https://en.cppreference.com/w/c/numeric/math/acosh) function.
-pub fn call_acosh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "acosh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`atanh`](https://en.cppreference.com/w/c/numeric/math/atanh) function.
-pub fn call_atanh<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "atanh";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`expm1`](https://en.cppreference.com/w/c/numeric/math/expm1) function.
-pub fn call_expm1<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "expm1";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`cbrt`](https://en.cppreference.com/w/c/numeric/math/cbrt) function.
-pub fn call_cbrt<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "cbrt";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nosync", "nounwind", "readonly", "willreturn"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`erf`](https://en.cppreference.com/w/c/numeric/math/erf) function.
-pub fn call_erf<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "erf";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`erfc`](https://en.cppreference.com/w/c/numeric/math/erfc) function.
-pub fn call_erfc<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "erfc";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`j1`](https://www.gnu.org/software/libc/manual/html_node/Special-Functions.html#index-j1)
-/// function.
-pub fn call_j1<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    arg: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "j1";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(arg.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[arg.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`atan2`](https://en.cppreference.com/w/c/numeric/math/atan2) function.
-pub fn call_atan2<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    y: FloatValue<'ctx>,
-    x: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "atan2";
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(y.get_type(), llvm_f64);
-    debug_assert_eq!(x.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
-            func.add_attribute(
-                AttributeLoc::Function,
-                ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
-            );
-        }
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[y.into(), x.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
 
 /// Invokes the [`ldexp`](https://en.cppreference.com/w/c/numeric/math/ldexp) function.
 pub fn call_ldexp<'ctx>(
@@ -548,66 +131,61 @@ pub fn call_ldexp<'ctx>(
         .unwrap()
 }
 
-/// Invokes the [`hypot`](https://en.cppreference.com/w/c/numeric/math/hypot) function.
+/// Macro to generate `np_linalg` and `sp_linalg` functions
-pub fn call_hypot<'ctx>(
+/// The function takes as input `NDArray` and returns ()
-    ctx: &CodeGenContext<'ctx, '_>,
+///
-    x: FloatValue<'ctx>,
+/// Arguments:
-    y: FloatValue<'ctx>,
+/// * `$fn_name:ident`: The identifier of the rust function to be generated
+/// * `$extern_fn:literal`: Name of underlying extern function
+/// * (2/3/4): Number of `NDArray` that function takes as input
+///
+/// Note:
+/// The operands and resulting `NDArray` are both passed as input to the funcion
+/// It is the responsibility of caller to ensure that output `NDArray` is properly allocated on stack
+/// The function changes the content of the output `NDArray` in-place
+macro_rules! generate_linalg_extern_fn {
+    ($fn_name:ident, $extern_fn:literal, 2) => {
+        generate_linalg_extern_fn!($fn_name, $extern_fn, mat1, mat2);
+    };
+    ($fn_name:ident, $extern_fn:literal, 3) => {
+        generate_linalg_extern_fn!($fn_name, $extern_fn, mat1, mat2, mat3);
+    };
+    ($fn_name:ident, $extern_fn:literal, 4) => {
+        generate_linalg_extern_fn!($fn_name, $extern_fn, mat1, mat2, mat3, mat4);
+    };
+    ($fn_name:ident, $extern_fn:literal $(,$input_matrix:ident)*) => {
+        #[doc = concat!("Invokes the linalg `", stringify!($extern_fn), " function." )]
+        pub fn $fn_name<'ctx>(
+            ctx: &mut CodeGenContext<'ctx, '_>
+            $(,$input_matrix: BasicValueEnum<'ctx>)*,
             name: Option<&str>,
-) -> FloatValue<'ctx> {
+        ){
-    const FN_NAME: &str = "hypot";
+            const FN_NAME: &str = $extern_fn;
-
-    let llvm_f64 = ctx.ctx.f64_type();
-    debug_assert_eq!(x.get_type(), llvm_f64);
-    debug_assert_eq!(y.get_type(), llvm_f64);
-
             let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_f64.into()], false);
+                let fn_type = ctx.ctx.void_type().fn_type(&[$($input_matrix.get_type().into()),*], false);
+
                 let func = ctx.module.add_function(FN_NAME, fn_type, None);
+                for attr in ["mustprogress", "nofree", "nounwind", "willreturn", "writeonly"] {
                     func.add_attribute(
                         AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
+                        ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id(attr), 0),
                     );
-
+                }
                 func
             });
 
-    ctx.builder
+            ctx.builder.build_call(extern_fn, &[$($input_matrix.into(),)*], name.unwrap_or_default()).unwrap();
-        .build_call(extern_fn, &[x.into(), y.into()], name.unwrap_or_default())
+        }
-        .map(CallSiteValue::try_as_basic_value)
+    };
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
 }
 
-/// Invokes the [`nextafter`](https://en.cppreference.com/w/c/numeric/math/nextafter) function.
+generate_linalg_extern_fn!(call_np_linalg_cholesky, "np_linalg_cholesky", 2);
-pub fn call_nextafter<'ctx>(
+generate_linalg_extern_fn!(call_np_linalg_qr, "np_linalg_qr", 3);
-    ctx: &CodeGenContext<'ctx, '_>,
+generate_linalg_extern_fn!(call_np_linalg_svd, "np_linalg_svd", 4);
-    from: FloatValue<'ctx>,
+generate_linalg_extern_fn!(call_np_linalg_inv, "np_linalg_inv", 2);
-    to: FloatValue<'ctx>,
+generate_linalg_extern_fn!(call_np_linalg_pinv, "np_linalg_pinv", 2);
-    name: Option<&str>,
+generate_linalg_extern_fn!(call_np_linalg_matrix_power, "np_linalg_matrix_power", 3);
-) -> FloatValue<'ctx> {
+generate_linalg_extern_fn!(call_np_linalg_det, "np_linalg_det", 2);
-    const FN_NAME: &str = "nextafter";
+generate_linalg_extern_fn!(call_sp_linalg_lu, "sp_linalg_lu", 3);
-
+generate_linalg_extern_fn!(call_sp_linalg_schur, "sp_linalg_schur", 3);
-    let llvm_f64 = ctx.ctx.f64_type();
+generate_linalg_extern_fn!(call_sp_linalg_hessenberg, "sp_linalg_hessenberg", 3);
-    debug_assert_eq!(from.get_type(), llvm_f64);
-    debug_assert_eq!(to.get_type(), llvm_f64);
-
-    let extern_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
-        let fn_type = llvm_f64.fn_type(&[llvm_f64.into(), llvm_f64.into()], false);
-        let func = ctx.module.add_function(FN_NAME, fn_type, None);
-        func.add_attribute(
-            AttributeLoc::Function,
-            ctx.ctx.create_enum_attribute(Attribute::get_named_enum_kind_id("nounwind"), 0),
-        );
-
-        func
-    });
-
-    ctx.builder
-        .build_call(extern_fn, &[from.into(), to.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}

nac3core/src/codegen/generator.rs

@@ -123,11 +123,45 @@ pub trait CodeGenerator {
         ctx: &mut CodeGenContext<'ctx, '_>,
         target: &Expr<Option<Type>>,
         value: ValueEnum<'ctx>,
+        value_ty: Type,
     ) -> Result<(), String>
     where
         Self: Sized,
     {
-        gen_assign(self, ctx, target, value)
+        gen_assign(self, ctx, target, value, value_ty)
+    }
+
+    /// Generate code for an assignment expression where LHS is a `"target_list"`.
+    ///
+    /// See <https://docs.python.org/3/reference/simple_stmts.html#assignment-statements>.
+    fn gen_assign_target_list<'ctx>(
+        &mut self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        targets: &Vec<Expr<Option<Type>>>,
+        value: ValueEnum<'ctx>,
+        value_ty: Type,
+    ) -> Result<(), String>
+    where
+        Self: Sized,
+    {
+        gen_assign_target_list(self, ctx, targets, value, value_ty)
+    }
+
+    /// Generate code for an item assignment.
+    ///
+    /// i.e., `target[key] = value`
+    fn gen_setitem<'ctx>(
+        &mut self,
+        ctx: &mut CodeGenContext<'ctx, '_>,
+        target: &Expr<Option<Type>>,
+        key: &Expr<Option<Type>>,
+        value: ValueEnum<'ctx>,
+        value_ty: Type,
+    ) -> Result<(), String>
+    where
+        Self: Sized,
+    {
+        gen_setitem(self, ctx, target, key, value, value_ty)
     }
 
     /// Generate code for a while expression.

nac3core/src/codegen/irrt/irrt.cpp

@@ -1,38 +1,154 @@
-typedef _BitInt(8) int8_t;
+using int8_t = _BitInt(8);
-typedef unsigned _BitInt(8) uint8_t;
+using uint8_t = unsigned _BitInt(8);
-typedef _BitInt(32) int32_t;
+using int32_t = _BitInt(32);
-typedef unsigned _BitInt(32) uint32_t;
+using uint32_t = unsigned _BitInt(32);
-typedef _BitInt(64) int64_t;
+using int64_t = _BitInt(64);
-typedef unsigned _BitInt(64) uint64_t;
+using uint64_t = unsigned _BitInt(64);
 
-# define MAX(a, b) (a > b ? a : b)
+// NDArray indices are always `uint32_t`.
-# define MIN(a, b) (a > b ? b : a)
+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;
 
-# define NULL ((void *) 0)
+namespace {
+template <typename T>
+const T& max(const T& a, const T& b) {
+    return a > b ? a : b;
+}
+
+template <typename T>
+const T& min(const T& a, const T& b) {
+    return a > b ? b : a;
+}
 
 // adapted from GNU Scientific Library: https://git.savannah.gnu.org/cgit/gsl.git/tree/sys/pow_int.c
 // need to make sure `exp >= 0` before calling this function
-#define DEF_INT_EXP(T) T __nac3_int_exp_##T( \
+template <typename T>
-    T base, \
+T __nac3_int_exp_impl(T base, T exp) {
-    T exp \
+    T res = 1;
-) { \
+    /* repeated squaring method */
-    T res = (T)1; \
+    do {
-    /* repeated squaring method */ \
+        if (exp & 1) {
-    do { \
+            res *= base; /* for n odd */
-       if (exp & 1) res *= base;  /* for n odd */ \
+        }
-       exp >>= 1; \
+        exp >>= 1;
-       base *= base; \
+        base *= base;
-    } while (exp); \
+    } while (exp);
-    return res; \
+    return res;
-} \
+}
 
-DEF_INT_EXP(int32_t)
+template <typename SizeT>
-DEF_INT_EXP(int64_t)
+SizeT __nac3_ndarray_calc_size_impl(
-DEF_INT_EXP(uint32_t)
+    const SizeT* list_data,
-DEF_INT_EXP(uint64_t)
+    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;
+}
 
-int32_t __nac3_slice_index_bound(int32_t i, const int32_t len) {
+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" {
+#define DEF_nac3_int_exp_(T) \
+    T __nac3_int_exp_##T(T base, T exp) {\
+        return __nac3_int_exp_impl(base, exp);\
+    }
+
+DEF_nac3_int_exp_(int32_t)
+DEF_nac3_int_exp_(int64_t)
+DEF_nac3_int_exp_(uint32_t)
+DEF_nac3_int_exp_(uint64_t)
+
+SliceIndex __nac3_slice_index_bound(SliceIndex i, const SliceIndex len) {
     if (i < 0) {
         i = len + i;
     }
@@ -44,8 +160,12 @@ int32_t __nac3_slice_index_bound(int32_t i, const int32_t len) {
     return i;
 }
 
-int32_t __nac3_range_slice_len(const int32_t start, const int32_t end, const int32_t step) {
+SliceIndex __nac3_range_slice_len(
-    int32_t diff = end - start;
+    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) {
@@ -61,25 +181,25 @@ int32_t __nac3_range_slice_len(const int32_t start, const int32_t end, const int
 // - The end index is *inclusive*,
 // - The length of src and dest slice size should already
 // be checked: if dest.step == 1 then len(src) <= len(dest) else len(src) == len(dest)
-int32_t __nac3_list_slice_assign_var_size(
+SliceIndex __nac3_list_slice_assign_var_size(
-    int32_t dest_start,
+    SliceIndex dest_start,
-    int32_t dest_end,
+    SliceIndex dest_end,
-    int32_t dest_step,
+    SliceIndex dest_step,
     uint8_t* dest_arr,
-    int32_t dest_arr_len,
+    SliceIndex dest_arr_len,
-    int32_t src_start,
+    SliceIndex src_start,
-    int32_t src_end,
+    SliceIndex src_end,
-    int32_t src_step,
+    SliceIndex src_step,
     uint8_t* src_arr,
-    int32_t src_arr_len,
+    SliceIndex src_arr_len,
-    const int32_t size
+    const SliceIndex size
 ) {
     /* if dest_arr_len == 0, do nothing since we do not support extending list */
     if (dest_arr_len == 0) return dest_arr_len;
     /* if both step is 1, memmove directly, handle the dropping of the list, and shrink size */
     if (src_step == dest_step && dest_step == 1) {
-        const int32_t src_len = (src_end >= src_start) ? (src_end - src_start + 1) : 0;
+        const SliceIndex src_len = (src_end >= src_start) ? (src_end - src_start + 1) : 0;
-        const int32_t dest_len = (dest_end >= dest_start) ? (dest_end - dest_start + 1) : 0;
+        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,
@@ -102,16 +222,16 @@ int32_t __nac3_list_slice_assign_var_size(
     uint8_t need_alloca =
         (dest_arr == src_arr)
         && !(
-            MAX(dest_start, dest_end) < MIN(src_start, src_end)
+            max(dest_start, dest_end) < min(src_start, src_end)
-            || MAX(src_start, src_end) < MIN(dest_start, dest_end)
+            || max(src_start, src_end) < min(dest_start, dest_end)
         );
     if (need_alloca) {
-        uint8_t *tmp = __builtin_alloca(src_arr_len * size);
+        uint8_t* tmp = reinterpret_cast<uint8_t *>(__builtin_alloca(src_arr_len * size));
         __builtin_memcpy(tmp, src_arr, src_arr_len * size);
         src_arr = tmp;
     }
-    int32_t src_ind = src_start;
+    SliceIndex src_ind = src_start;
-    int32_t dest_ind = dest_start;
+    SliceIndex dest_ind = dest_start;
     for (;
         (src_step > 0) ? (src_ind <= src_end) : (src_ind >= src_end);
         src_ind += src_step, dest_ind += dest_step
@@ -201,20 +321,12 @@ double __nac3_j0(double x) {
 }
 
 uint32_t __nac3_ndarray_calc_size(
-    const uint64_t *list_data,
+    const uint32_t* list_data,
     uint32_t list_len,
     uint32_t begin_idx,
     uint32_t end_idx
 ) {
-    __builtin_assume(end_idx <= list_len);
+    return __nac3_ndarray_calc_size_impl(list_data, list_len, begin_idx, end_idx);
-
-    uint32_t num_elems = 1;
-    for (uint32_t i = begin_idx; i < end_idx; ++i) {
-        uint64_t val = list_data[i];
-        __builtin_assume(val > 0);
-        num_elems *= val;
-    }
-    return num_elems;
 }
 
 uint64_t __nac3_ndarray_calc_size64(
@@ -223,85 +335,43 @@ uint64_t __nac3_ndarray_calc_size64(
     uint64_t begin_idx,
     uint64_t end_idx
 ) {
-    __builtin_assume(end_idx <= list_len);
+    return __nac3_ndarray_calc_size_impl(list_data, list_len, begin_idx, end_idx);
-
-    uint64_t num_elems = 1;
-    for (uint64_t i = begin_idx; i < end_idx; ++i) {
-        uint64_t val = list_data[i];
-        __builtin_assume(val > 0);
-       num_elems *= val;
-    }
-    return num_elems;
 }
 
 void __nac3_ndarray_calc_nd_indices(
     uint32_t index,
     const uint32_t* dims,
     uint32_t num_dims,
-    uint32_t* idxs
+    NDIndex* idxs
 ) {
-    uint32_t stride = 1;
+    __nac3_ndarray_calc_nd_indices_impl(index, dims, num_dims, idxs);
-    for (uint32_t dim = 0; dim < num_dims; dim++) {
-        uint32_t i = num_dims - dim - 1;
-        __builtin_assume(dims[i] > 0);
-        idxs[i] = (index / stride) % dims[i];
-        stride *= dims[i];
-    }
 }
 
 void __nac3_ndarray_calc_nd_indices64(
     uint64_t index,
     const uint64_t* dims,
     uint64_t num_dims,
-    uint32_t* idxs
+    NDIndex* idxs
 ) {
-    uint64_t stride = 1;
+    __nac3_ndarray_calc_nd_indices_impl(index, dims, num_dims, idxs);
-    for (uint64_t dim = 0; dim < num_dims; dim++) {
-        uint64_t i = num_dims - dim - 1;
-        __builtin_assume(dims[i] > 0);
-        idxs[i] = (uint32_t) ((index / stride) % dims[i]);
-        stride *= dims[i];
-    }
 }
 
 uint32_t __nac3_ndarray_flatten_index(
     const uint32_t* dims,
     uint32_t num_dims,
-    const uint32_t* indices,
+    const NDIndex* indices,
     uint32_t num_indices
 ) {
-    uint32_t idx = 0;
+    return __nac3_ndarray_flatten_index_impl(dims, num_dims, indices, num_indices);
-    uint32_t stride = 1;
-    for (uint32_t i = 0; i < num_dims; ++i) {
-        uint32_t ri = num_dims - i - 1;
-        if (ri < num_indices) {
-            idx += (stride * indices[ri]);
-        }
-
-        __builtin_assume(dims[i] > 0);
-        stride *= dims[ri];
-    }
-    return idx;
 }
 
 uint64_t __nac3_ndarray_flatten_index64(
     const uint64_t* dims,
     uint64_t num_dims,
-    const uint32_t* indices,
+    const NDIndex* indices,
     uint64_t num_indices
 ) {
-    uint64_t idx = 0;
+    return __nac3_ndarray_flatten_index_impl(dims, num_dims, indices, num_indices);
-    uint64_t stride = 1;
-    for (uint64_t i = 0; i < num_dims; ++i) {
-        uint64_t ri = num_dims - i - 1;
-        if (ri < num_indices) {
-            idx += (stride * indices[ri]);
-        }
-
-        __builtin_assume(dims[i] > 0);
-        stride *= dims[ri];
-    }
-    return idx;
 }
 
 void __nac3_ndarray_calc_broadcast(
@@ -311,27 +381,7 @@ void __nac3_ndarray_calc_broadcast(
     uint32_t rhs_ndims,
     uint32_t* out_dims
 ) {
-    uint32_t max_ndims = lhs_ndims > rhs_ndims ? lhs_ndims : rhs_ndims;
+    return __nac3_ndarray_calc_broadcast_impl(lhs_dims, lhs_ndims, rhs_dims, rhs_ndims, out_dims);
-
-    for (uint32_t i = 0; i < max_ndims; ++i) {
-        uint32_t *lhs_dim_sz = i < lhs_ndims ? &lhs_dims[lhs_ndims - i - 1] : NULL;
-        uint32_t *rhs_dim_sz = i < rhs_ndims ? &rhs_dims[rhs_ndims - i - 1] : NULL;
-        uint32_t *out_dim = &out_dims[max_ndims - i - 1];
-
-        if (lhs_dim_sz == NULL) {
-            *out_dim = *rhs_dim_sz;
-        } else if (rhs_dim_sz == NULL) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == 1) {
-            *out_dim = *rhs_dim_sz;
-        } else if (*rhs_dim_sz == 1) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == *rhs_dim_sz) {
-            *out_dim = *lhs_dim_sz;
-        } else {
-            __builtin_unreachable();
-        }
-    }
 }
 
 void __nac3_ndarray_calc_broadcast64(
@@ -341,49 +391,24 @@ void __nac3_ndarray_calc_broadcast64(
     uint64_t rhs_ndims,
     uint64_t* out_dims
 ) {
-    uint64_t max_ndims = lhs_ndims > rhs_ndims ? lhs_ndims : rhs_ndims;
+    return __nac3_ndarray_calc_broadcast_impl(lhs_dims, lhs_ndims, rhs_dims, rhs_ndims, out_dims);
-
-    for (uint64_t i = 0; i < max_ndims; ++i) {
-        uint64_t *lhs_dim_sz = i < lhs_ndims ? &lhs_dims[lhs_ndims - i - 1] : NULL;
-        uint64_t *rhs_dim_sz = i < rhs_ndims ? &rhs_dims[rhs_ndims - i - 1] : NULL;
-        uint64_t *out_dim = &out_dims[max_ndims - i - 1];
-
-        if (lhs_dim_sz == NULL) {
-            *out_dim = *rhs_dim_sz;
-        } else if (rhs_dim_sz == NULL) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == 1) {
-            *out_dim = *rhs_dim_sz;
-        } else if (*rhs_dim_sz == 1) {
-            *out_dim = *lhs_dim_sz;
-        } else if (*lhs_dim_sz == *rhs_dim_sz) {
-            *out_dim = *lhs_dim_sz;
-        } else {
-            __builtin_unreachable();
-        }
-    }
 }
 
 void __nac3_ndarray_calc_broadcast_idx(
     const uint32_t* src_dims,
     uint32_t src_ndims,
-    const uint32_t *in_idx,
+    const NDIndex* in_idx,
-    uint32_t *out_idx
+    NDIndex* out_idx
 ) {
-    for (uint32_t i = 0; i < src_ndims; ++i) {
+    __nac3_ndarray_calc_broadcast_idx_impl(src_dims, src_ndims, in_idx, out_idx);
-        uint32_t src_i = src_ndims - i - 1;
-        out_idx[src_i] = src_dims[src_i] == 1 ? 0 : in_idx[src_i];
-    }
 }
 
 void __nac3_ndarray_calc_broadcast_idx64(
     const uint64_t* src_dims,
     uint64_t src_ndims,
-    const uint32_t *in_idx,
+    const NDIndex* in_idx,
-    uint32_t *out_idx
+    NDIndex* out_idx
 ) {
-    for (uint64_t i = 0; i < src_ndims; ++i) {
+    __nac3_ndarray_calc_broadcast_idx_impl(src_dims, src_ndims, in_idx, out_idx);
-        uint64_t src_i = src_ndims - i - 1;
-        out_idx[src_i] = src_dims[src_i] == 1 ? 0 : (uint32_t) in_idx[src_i];
-    }
 }
+}  // extern "C"

nac3core/src/codegen/irrt/mod.rs

@@ -579,10 +579,8 @@ where
     G: CodeGenerator + ?Sized,
     Dims: ArrayLikeIndexer<'ctx>,
 {
-    let llvm_i64 = ctx.ctx.i64_type();
     let llvm_usize = generator.get_size_type(ctx.ctx);
-
+    let llvm_pusize = llvm_usize.ptr_type(AddressSpace::default());
-    let llvm_pi64 = llvm_i64.ptr_type(AddressSpace::default());
 
     let ndarray_calc_size_fn_name = match llvm_usize.get_bit_width() {
         32 => "__nac3_ndarray_calc_size",
@@ -590,7 +588,7 @@ where
         bw => unreachable!("Unsupported size type bit width: {}", bw),
     };
     let ndarray_calc_size_fn_t = llvm_usize.fn_type(
-        &[llvm_pi64.into(), llvm_usize.into(), llvm_usize.into(), llvm_usize.into()],
+        &[llvm_pusize.into(), llvm_usize.into(), llvm_usize.into(), llvm_usize.into()],
         false,
     );
     let ndarray_calc_size_fn =
@@ -800,9 +798,10 @@ pub fn call_ndarray_calc_broadcast<'ctx, G: CodeGenerator + ?Sized>(
     gen_for_callback_incrementing(
         generator,
         ctx,
+        None,
         llvm_usize.const_zero(),
         (min_ndims, false),
-        |generator, ctx, idx| {
+        |generator, ctx, _, idx| {
             let idx = ctx.builder.build_int_sub(min_ndims, idx, "").unwrap();
             let (lhs_dim_sz, rhs_dim_sz) = unsafe {
                 (

nac3core/src/codegen/llvm_intrinsics.rs

@@ -35,6 +35,40 @@ fn get_float_intrinsic_repr(ctx: &Context, ft: FloatType) -> &'static str {
     unreachable!()
 }
 
+/// Invokes the [`llvm.va_start`](https://llvm.org/docs/LangRef.html#llvm-va-start-intrinsic)
+/// intrinsic.
+pub fn call_va_start<'ctx>(ctx: &CodeGenContext<'ctx, '_>, arglist: PointerValue<'ctx>) {
+    const FN_NAME: &str = "llvm.va_start";
+
+    let intrinsic_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let llvm_void = ctx.ctx.void_type();
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        let fn_type = llvm_void.fn_type(&[llvm_p0i8.into()], false);
+
+        ctx.module.add_function(FN_NAME, fn_type, None)
+    });
+
+    ctx.builder.build_call(intrinsic_fn, &[arglist.into()], "").unwrap();
+}
+
+/// Invokes the [`llvm.va_start`](https://llvm.org/docs/LangRef.html#llvm-va-start-intrinsic)
+/// intrinsic.
+pub fn call_va_end<'ctx>(ctx: &CodeGenContext<'ctx, '_>, arglist: PointerValue<'ctx>) {
+    const FN_NAME: &str = "llvm.va_end";
+
+    let intrinsic_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let llvm_void = ctx.ctx.void_type();
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        let fn_type = llvm_void.fn_type(&[llvm_p0i8.into()], false);
+
+        ctx.module.add_function(FN_NAME, fn_type, None)
+    });
+
+    ctx.builder.build_call(intrinsic_fn, &[arglist.into()], "").unwrap();
+}
+
 /// Invokes the [`llvm.stacksave`](https://llvm.org/docs/LangRef.html#llvm-stacksave-intrinsic)
 /// intrinsic.
 pub fn call_stacksave<'ctx>(
@@ -62,145 +96,30 @@ pub fn call_stacksave<'ctx>(
 pub fn call_stackrestore<'ctx>(ctx: &CodeGenContext<'ctx, '_>, ptr: PointerValue<'ctx>) {
     const FN_NAME: &str = "llvm.stackrestore";
 
-    let llvm_i8 = ctx.ctx.i8_type();
+    /*
-    let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        SEE https://github.com/TheDan64/inkwell/issues/496
 
+        We want `llvm.stackrestore`, but the following would generate `llvm.stackrestore.p0i8`.
+        ```ignore
         let intrinsic_fn = Intrinsic::find(FN_NAME)
             .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_p0i8.into()]))
             .unwrap();
+        ```
+
+        Temp workaround by manually declaring the intrinsic with the correct function name instead.
+    */
+    let intrinsic_fn = ctx.module.get_function(FN_NAME).unwrap_or_else(|| {
+        let llvm_void = ctx.ctx.void_type();
+        let llvm_i8 = ctx.ctx.i8_type();
+        let llvm_p0i8 = llvm_i8.ptr_type(AddressSpace::default());
+        let fn_type = llvm_void.fn_type(&[llvm_p0i8.into()], false);
+
+        ctx.module.add_function(FN_NAME, fn_type, None)
+    });
 
     ctx.builder.build_call(intrinsic_fn, &[ptr.into()], "").unwrap();
 }
 
-/// Invokes the [`llvm.abs`](https://llvm.org/docs/LangRef.html#llvm-abs-intrinsic) intrinsic.
-///
-/// * `src` - The value for which the absolute value is to be returned.
-/// * `is_int_min_poison` - Whether `poison` is to be returned if `src` is `INT_MIN`.
-pub fn call_int_abs<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    src: IntValue<'ctx>,
-    is_int_min_poison: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.abs";
-
-    debug_assert_eq!(is_int_min_poison.get_type().get_bit_width(), 1);
-    debug_assert!(is_int_min_poison.is_const());
-
-    let llvm_src_t = src.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_src_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[src.into(), is_int_min_poison.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.smax`](https://llvm.org/docs/LangRef.html#llvm-smax-intrinsic) intrinsic.
-pub fn call_int_smax<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.smax";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.smin`](https://llvm.org/docs/LangRef.html#llvm-smin-intrinsic) intrinsic.
-pub fn call_int_smin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.smin";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.umax`](https://llvm.org/docs/LangRef.html#llvm-umax-intrinsic) intrinsic.
-pub fn call_int_umax<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.umax";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.umin`](https://llvm.org/docs/LangRef.html#llvm-umin-intrinsic) intrinsic.
-pub fn call_int_umin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    a: IntValue<'ctx>,
-    b: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.umin";
-
-    debug_assert_eq!(a.get_type().get_bit_width(), b.get_type().get_bit_width());
-
-    let llvm_int_t = a.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[a.into(), b.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
 /// Invokes the [`llvm.memcpy`](https://llvm.org/docs/LangRef.html#llvm-memcpy-intrinsic) intrinsic.
 ///
 /// * `dest` - The pointer to the destination. Must be a pointer to an integer type.
@@ -280,27 +199,121 @@ pub fn call_memcpy_generic<'ctx>(
     call_memcpy(ctx, dest, src, len, is_volatile);
 }
 
-/// Invokes the [`llvm.sqrt`](https://llvm.org/docs/LangRef.html#llvm-sqrt-intrinsic) intrinsic.
+/// Macro to find and generate build call for llvm intrinsic (body of llvm intrinsic function)
-pub fn call_float_sqrt<'ctx>(
+///
+/// Arguments:
+/// * `$ctx:ident`: Reference to the current Code Generation Context
+/// * `$name:ident`: Optional name to be assigned to the llvm build call (Option<&str>)
+/// * `$llvm_name:literal`: Name of underlying llvm intrinsic function
+/// * `$map_fn:ident`: Mapping function to be applied on `BasicValue` (`BasicValue` -> Function Return Type)
+/// Use `BasicValueEnum::into_int_value` for Integer return type and `BasicValueEnum::into_float_value` for Float return type
+/// * `$llvm_ty:ident`: Type of first operand
+/// * `,($val:ident)*`: Comma separated list of operands
+macro_rules! generate_llvm_intrinsic_fn_body {
+    ($ctx:ident, $name:ident, $llvm_name:literal, $map_fn:expr, $llvm_ty:ident $(,$val:ident)*) => {{
+        const FN_NAME: &str = concat!("llvm.", $llvm_name);
+        let intrinsic_fn = Intrinsic::find(FN_NAME).and_then(|intrinsic| intrinsic.get_declaration(&$ctx.module, &[$llvm_ty.into()])).unwrap();
+        $ctx.builder.build_call(intrinsic_fn, &[$($val.into()),*],  $name.unwrap_or_default()).map(CallSiteValue::try_as_basic_value).map(|v| v.map_left($map_fn)).map(Either::unwrap_left).unwrap()
+    }};
+}
+
+/// Macro to generate the llvm intrinsic function using [`generate_llvm_intrinsic_fn_body`].
+///
+/// Arguments:
+/// * `float/int`: Indicates the return and argument type of the function
+/// * `$fn_name:ident`: The identifier of the rust function to be generated
+/// * `$llvm_name:literal`: Name of underlying llvm intrinsic function
+/// Omit "llvm." prefix from the function name i.e. use "ceil" instead of "llvm.ceil"
+/// * `$val:ident`: The operand for unary operations
+/// * `$val1:ident`, `$val2:ident`: The operands for binary operations
+macro_rules! generate_llvm_intrinsic_fn {
+    ("float", $fn_name:ident, $llvm_name:literal, $val:ident) => {
+        #[doc = concat!("Invokes the [`", stringify!($llvm_name), "`](https://llvm.org/docs/LangRef.html#llvm-", stringify!($llvm_name), "-intrinsic) intrinsic." )]
+        pub fn $fn_name<'ctx> (
             ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
+            $val: FloatValue<'ctx>,
             name: Option<&str>,
         ) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.sqrt";
+            let llvm_ty = $val.get_type();
-
+            generate_llvm_intrinsic_fn_body!(ctx, name, $llvm_name, BasicValueEnum::into_float_value, llvm_ty, $val)
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
         }
+    };
+    ("float", $fn_name:ident, $llvm_name:literal, $val1:ident, $val2:ident) => {
+        #[doc = concat!("Invokes the [`", stringify!($llvm_name), "`](https://llvm.org/docs/LangRef.html#llvm-", stringify!($llvm_name), "-intrinsic) intrinsic." )]
+        pub fn $fn_name<'ctx> (
+            ctx: &CodeGenContext<'ctx, '_>,
+            $val1: FloatValue<'ctx>,
+            $val2: FloatValue<'ctx>,
+            name: Option<&str>,
+        ) -> FloatValue<'ctx> {
+            debug_assert_eq!($val1.get_type(), $val2.get_type());
+            let llvm_ty = $val1.get_type();
+            generate_llvm_intrinsic_fn_body!(ctx, name, $llvm_name, BasicValueEnum::into_float_value, llvm_ty, $val1, $val2)
+        }
+    };
+    ("int", $fn_name:ident, $llvm_name:literal, $val1:ident, $val2:ident) => {
+        #[doc = concat!("Invokes the [`", stringify!($llvm_name), "`](https://llvm.org/docs/LangRef.html#llvm-", stringify!($llvm_name), "-intrinsic) intrinsic." )]
+        pub fn $fn_name<'ctx> (
+            ctx: &CodeGenContext<'ctx, '_>,
+            $val1: IntValue<'ctx>,
+            $val2: IntValue<'ctx>,
+            name: Option<&str>,
+        ) -> IntValue<'ctx> {
+            debug_assert_eq!($val1.get_type().get_bit_width(), $val2.get_type().get_bit_width());
+            let llvm_ty = $val1.get_type();
+            generate_llvm_intrinsic_fn_body!(ctx, name, $llvm_name, BasicValueEnum::into_int_value, llvm_ty, $val1, $val2)
+        }
+    };
+}
+
+/// Invokes the [`llvm.abs`](https://llvm.org/docs/LangRef.html#llvm-abs-intrinsic) intrinsic.
+///
+/// * `src` - The value for which the absolute value is to be returned.
+/// * `is_int_min_poison` - Whether `poison` is to be returned if `src` is `INT_MIN`.
+pub fn call_int_abs<'ctx>(
+    ctx: &CodeGenContext<'ctx, '_>,
+    src: IntValue<'ctx>,
+    is_int_min_poison: IntValue<'ctx>,
+    name: Option<&str>,
+) -> IntValue<'ctx> {
+    debug_assert_eq!(is_int_min_poison.get_type().get_bit_width(), 1);
+    debug_assert!(is_int_min_poison.is_const());
+
+    let src_type = src.get_type();
+    generate_llvm_intrinsic_fn_body!(
+        ctx,
+        name,
+        "abs",
+        BasicValueEnum::into_int_value,
+        src_type,
+        src,
+        is_int_min_poison
+    )
+}
+
+generate_llvm_intrinsic_fn!("int", call_int_smax, "smax", a, b);
+generate_llvm_intrinsic_fn!("int", call_int_smin, "smin", a, b);
+generate_llvm_intrinsic_fn!("int", call_int_umax, "umax", a, b);
+generate_llvm_intrinsic_fn!("int", call_int_umin, "umin", a, b);
+generate_llvm_intrinsic_fn!("int", call_expect, "expect", val, expected_val);
+
+generate_llvm_intrinsic_fn!("float", call_float_sqrt, "sqrt", val);
+generate_llvm_intrinsic_fn!("float", call_float_sin, "sin", val);
+generate_llvm_intrinsic_fn!("float", call_float_cos, "cos", val);
+generate_llvm_intrinsic_fn!("float", call_float_pow, "pow", val, power);
+generate_llvm_intrinsic_fn!("float", call_float_exp, "exp", val);
+generate_llvm_intrinsic_fn!("float", call_float_exp2, "exp2", val);
+generate_llvm_intrinsic_fn!("float", call_float_log, "log", val);
+generate_llvm_intrinsic_fn!("float", call_float_log10, "log10", val);
+generate_llvm_intrinsic_fn!("float", call_float_log2, "log2", val);
+generate_llvm_intrinsic_fn!("float", call_float_fabs, "fabs", src);
+generate_llvm_intrinsic_fn!("float", call_float_minnum, "minnum", val, power);
+generate_llvm_intrinsic_fn!("float", call_float_maxnum, "maxnum", val, power);
+generate_llvm_intrinsic_fn!("float", call_float_copysign, "copysign", mag, sgn);
+generate_llvm_intrinsic_fn!("float", call_float_floor, "floor", val);
+generate_llvm_intrinsic_fn!("float", call_float_ceil, "ceil", val);
+generate_llvm_intrinsic_fn!("float", call_float_round, "round", val);
+generate_llvm_intrinsic_fn!("float", call_float_rint, "rint", val);
 
 /// Invokes the [`llvm.powi`](https://llvm.org/docs/LangRef.html#llvm-powi-intrinsic) intrinsic.
 pub fn call_float_powi<'ctx>(
@@ -327,393 +340,3 @@ pub fn call_float_powi<'ctx>(
         .map(Either::unwrap_left)
         .unwrap()
 }
-
-/// Invokes the [`llvm.sin`](https://llvm.org/docs/LangRef.html#llvm-sin-intrinsic) intrinsic.
-pub fn call_float_sin<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.sin";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.cos`](https://llvm.org/docs/LangRef.html#llvm-cos-intrinsic) intrinsic.
-pub fn call_float_cos<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.cos";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.pow`](https://llvm.org/docs/LangRef.html#llvm-pow-intrinsic) intrinsic.
-pub fn call_float_pow<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    power: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.pow";
-
-    debug_assert_eq!(val.get_type(), power.get_type());
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into(), power.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.exp`](https://llvm.org/docs/LangRef.html#llvm-exp-intrinsic) intrinsic.
-pub fn call_float_exp<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.exp";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.exp2`](https://llvm.org/docs/LangRef.html#llvm-exp2-intrinsic) intrinsic.
-pub fn call_float_exp2<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.exp2";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.log`](https://llvm.org/docs/LangRef.html#llvm-log-intrinsic) intrinsic.
-pub fn call_float_log<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.log";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.log10`](https://llvm.org/docs/LangRef.html#llvm-log10-intrinsic) intrinsic.
-pub fn call_float_log10<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.log10";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.log2`](https://llvm.org/docs/LangRef.html#llvm-log2-intrinsic) intrinsic.
-pub fn call_float_log2<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.log2";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.fabs`](https://llvm.org/docs/LangRef.html#llvm-fabs-intrinsic) intrinsic.
-pub fn call_float_fabs<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    src: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.fabs";
-
-    let llvm_src_t = src.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_src_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[src.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.minnum`](https://llvm.org/docs/LangRef.html#llvm-minnum-intrinsic) intrinsic.
-pub fn call_float_minnum<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val1: FloatValue<'ctx>,
-    val2: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.minnum";
-
-    debug_assert_eq!(val1.get_type(), val2.get_type());
-
-    let llvm_float_t = val1.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val1.into(), val2.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.maxnum`](https://llvm.org/docs/LangRef.html#llvm-maxnum-intrinsic) intrinsic.
-pub fn call_float_maxnum<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val1: FloatValue<'ctx>,
-    val2: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.maxnum";
-
-    debug_assert_eq!(val1.get_type(), val2.get_type());
-
-    let llvm_float_t = val1.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val1.into(), val2.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.copysign`](https://llvm.org/docs/LangRef.html#llvm-copysign-intrinsic) intrinsic.
-pub fn call_float_copysign<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    mag: FloatValue<'ctx>,
-    sgn: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.copysign";
-
-    debug_assert_eq!(mag.get_type(), sgn.get_type());
-
-    let llvm_float_t = mag.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[mag.into(), sgn.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.floor`](https://llvm.org/docs/LangRef.html#llvm-floor-intrinsic) intrinsic.
-pub fn call_float_floor<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.floor";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.ceil`](https://llvm.org/docs/LangRef.html#llvm-ceil-intrinsic) intrinsic.
-pub fn call_float_ceil<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.ceil";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.round`](https://llvm.org/docs/LangRef.html#llvm-round-intrinsic) intrinsic.
-pub fn call_float_round<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.round";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the
-/// [`llvm.roundeven`](https://llvm.org/docs/LangRef.html#llvm-roundeven-intrinsic) intrinsic.
-pub fn call_float_roundeven<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: FloatValue<'ctx>,
-    name: Option<&str>,
-) -> FloatValue<'ctx> {
-    const FN_NAME: &str = "llvm.roundeven";
-
-    let llvm_float_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_float_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_float_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}
-
-/// Invokes the [`llvm.expect`](https://llvm.org/docs/LangRef.html#llvm-expect-intrinsic) intrinsic.
-pub fn call_expect<'ctx>(
-    ctx: &CodeGenContext<'ctx, '_>,
-    val: IntValue<'ctx>,
-    expected_val: IntValue<'ctx>,
-    name: Option<&str>,
-) -> IntValue<'ctx> {
-    const FN_NAME: &str = "llvm.expect";
-
-    debug_assert_eq!(val.get_type().get_bit_width(), expected_val.get_type().get_bit_width());
-
-    let llvm_int_t = val.get_type();
-
-    let intrinsic_fn = Intrinsic::find(FN_NAME)
-        .and_then(|intrinsic| intrinsic.get_declaration(&ctx.module, &[llvm_int_t.into()]))
-        .unwrap();
-
-    ctx.builder
-        .build_call(intrinsic_fn, &[val.into(), expected_val.into()], name.unwrap_or_default())
-        .map(CallSiteValue::try_as_basic_value)
-        .map(|v| v.map_left(BasicValueEnum::into_int_value))
-        .map(Either::unwrap_left)
-        .unwrap()
-}

nac3core/src/codegen/mod.rs

@@ -68,6 +68,16 @@ pub struct CodeGenLLVMOptions {
     pub target: CodeGenTargetMachineOptions,
 }
 
+impl CodeGenLLVMOptions {
+    /// Creates a [`TargetMachine`] using the target options specified by this struct.
+    ///
+    /// See [`Target::create_target_machine`].
+    #[must_use]
+    pub fn create_target_machine(&self) -> Option<TargetMachine> {
+        self.target.create_target_machine(self.opt_level)
+    }
+}
+
 /// Additional options for code generation for the target machine.
 #[derive(Clone, Debug, Eq, PartialEq)]
 pub struct CodeGenTargetMachineOptions {
@@ -338,6 +348,10 @@ impl WorkerRegistry {
         let mut builder = context.create_builder();
         let mut module = context.create_module(generator.get_name());
 
+        let target_machine = self.llvm_options.create_target_machine().unwrap();
+        module.set_data_layout(&target_machine.get_target_data().get_data_layout());
+        module.set_triple(&target_machine.get_triple());
+
         module.add_basic_value_flag(
             "Debug Info Version",
             inkwell::module::FlagBehavior::Warning,
@@ -361,6 +375,10 @@ impl WorkerRegistry {
                     errors.insert(e);
                     // create a new empty module just to continue codegen and collect errors
                     module = context.create_module(&format!("{}_recover", generator.get_name()));
+
+                    let target_machine = self.llvm_options.create_target_machine().unwrap();
+                    module.set_data_layout(&target_machine.get_target_data().get_data_layout());
+                    module.set_triple(&target_machine.get_triple());
                 }
             }
             *self.task_count.lock() -= 1;
@@ -426,7 +444,7 @@ pub struct CodeGenTask {
 fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
     ctx: &'ctx Context,
     module: &Module<'ctx>,
-    generator: &mut G,
+    generator: &G,
     unifier: &mut Unifier,
     top_level: &TopLevelContext,
     type_cache: &mut HashMap<Type, BasicTypeEnum<'ctx>>,
@@ -456,6 +474,20 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                             .into()
                         }
 
+                        TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+                            let element_type = get_llvm_type(
+                                ctx,
+                                module,
+                                generator,
+                                unifier,
+                                top_level,
+                                type_cache,
+                                *params.iter().next().unwrap().1,
+                            );
+
+                            ListType::new(generator, ctx, element_type).as_base_type().into()
+                        }
+
                         TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
                             let (dtype, _) = unpack_ndarray_var_tys(unifier, ty);
                             let element_type = get_llvm_type(
@@ -506,8 +538,10 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                 };
                 return ty;
             }
-            TTuple { ty } => {
+            TTuple { ty, is_vararg_ctx } => {
                 // a struct with fields in the order present in the tuple
+                assert!(!is_vararg_ctx, "Tuples in vararg context must be instantiated with the correct number of arguments before calling get_llvm_type");
+
                 let fields = ty
                     .iter()
                     .map(|ty| {
@@ -516,12 +550,6 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
                     .collect_vec();
                 ctx.struct_type(&fields, false).into()
             }
-            TList { ty } => {
-                let element_type =
-                    get_llvm_type(ctx, module, generator, unifier, top_level, type_cache, *ty);
-
-                ListType::new(generator, ctx, element_type).as_base_type().into()
-            }
             TVirtual { .. } => unimplemented!(),
             _ => unreachable!("{}", ty_enum.get_type_name()),
         };
@@ -543,7 +571,7 @@ fn get_llvm_type<'ctx, G: CodeGenerator + ?Sized>(
 fn get_llvm_abi_type<'ctx, G: CodeGenerator + ?Sized>(
     ctx: &'ctx Context,
     module: &Module<'ctx>,
-    generator: &mut G,
+    generator: &G,
     unifier: &mut Unifier,
     top_level: &TopLevelContext,
     type_cache: &mut HashMap<Type, BasicTypeEnum<'ctx>>,
@@ -581,6 +609,40 @@ fn need_sret(ty: BasicTypeEnum) -> bool {
     need_sret_impl(ty, true)
 }
 
+/// Returns the [`BasicTypeEnum`] representing a `va_list` struct for variadic arguments.
+fn get_llvm_valist_type<'ctx>(ctx: &'ctx Context, triple: &TargetTriple) -> BasicTypeEnum<'ctx> {
+    let triple = TargetMachine::normalize_triple(triple);
+    let triple = triple.as_str().to_str().unwrap();
+    let arch = triple.split('-').next().unwrap();
+
+    let llvm_pi8 = ctx.i8_type().ptr_type(AddressSpace::default());
+
+    // Referenced from parseArch() in llvm/lib/Support/Triple.cpp
+    match arch {
+        "i386" | "i486" | "i586" | "i686" | "riscv32" => {
+            ctx.i8_type().ptr_type(AddressSpace::default()).into()
+        }
+        "amd64" | "x86_64" | "x86_64h" => {
+            let llvm_i32 = ctx.i32_type();
+
+            let va_list_tag = ctx.opaque_struct_type("struct.__va_list_tag");
+            va_list_tag.set_body(
+                &[llvm_i32.into(), llvm_i32.into(), llvm_pi8.into(), llvm_pi8.into()],
+                false,
+            );
+            va_list_tag.into()
+        }
+        "armv7" => {
+            let va_list = ctx.opaque_struct_type("struct.__va_list");
+            va_list.set_body(&[llvm_pi8.into()], false);
+            va_list.into()
+        }
+        triple => {
+            todo!("Unsupported platform for varargs: {triple}")
+        }
+    }
+}
+
 /// Implementation for generating LLVM IR for a function.
 pub fn gen_func_impl<
     'ctx,
@@ -692,6 +754,7 @@ pub fn gen_func_impl<
                 name: arg.name,
                 ty: task.store.to_unifier_type(&mut unifier, &primitives, arg.ty, &mut cache),
                 default_value: arg.default_value.clone(),
+                is_vararg: arg.is_vararg,
             })
             .collect_vec(),
         task.store.to_unifier_type(&mut unifier, &primitives, *ret, &mut cache),
@@ -714,7 +777,10 @@ pub fn gen_func_impl<
     let has_sret = ret_type.map_or(false, |ty| need_sret(ty));
     let mut params = args
         .iter()
+        .filter(|arg| !arg.is_vararg)
         .map(|arg| {
+            debug_assert!(!arg.is_vararg);
+
             get_llvm_abi_type(
                 context,
                 &module,
@@ -733,9 +799,12 @@ pub fn gen_func_impl<
         params.insert(0, ret_type.unwrap().ptr_type(AddressSpace::default()).into());
     }
 
+    debug_assert!(matches!(args.iter().filter(|arg| arg.is_vararg).count(), 0..=1));
+    let vararg_arg = args.iter().find(|arg| arg.is_vararg);
+
     let fn_type = match ret_type {
-        Some(ret_type) if !has_sret => ret_type.fn_type(&params, false),
+        Some(ret_type) if !has_sret => ret_type.fn_type(&params, vararg_arg.is_some()),
-        _ => context.void_type().fn_type(&params, false),
+        _ => context.void_type().fn_type(&params, vararg_arg.is_some()),
     };
 
     let symbol = &task.symbol_name;
@@ -765,7 +834,9 @@ pub fn gen_func_impl<
 
     let mut var_assignment = HashMap::new();
     let offset = u32::from(has_sret);
-    for (n, arg) in args.iter().enumerate() {
+
+    // Store non-vararg argument values into local variables
+    for (n, arg) in args.iter().enumerate().filter(|(_, arg)| !arg.is_vararg) {
         let param = fn_val.get_nth_param((n as u32) + offset).unwrap();
         let local_type = get_llvm_type(
             context,
@@ -798,6 +869,8 @@ pub fn gen_func_impl<
         var_assignment.insert(arg.name, (alloca, None, 0));
     }
 
+    // TODO: Save vararg parameters as list
+
     let return_buffer = if has_sret {
         Some(fn_val.get_nth_param(0).unwrap().into_pointer_value())
     } else {
@@ -1020,3 +1093,9 @@ fn gen_in_range_check<'ctx>(
 
     ctx.builder.build_int_compare(IntPredicate::SLT, lo, hi, "cmp").unwrap()
 }
+
+/// Returns the internal name for the `va_count` argument, used to indicate the number of arguments
+/// passed to the variadic function.
+fn get_va_count_arg_name(arg_name: StrRef) -> StrRef {
+    format!("__{}_va_count", &arg_name).into()
+}

nac3core/src/codegen/numpy.rs

@@ -11,8 +11,7 @@ use crate::{
             call_ndarray_calc_broadcast_index, call_ndarray_calc_nd_indices,
             call_ndarray_calc_size,
         },
-        llvm_intrinsics,
+        llvm_intrinsics::{self, call_memcpy_generic},
-        llvm_intrinsics::call_memcpy_generic,
         stmt::{gen_for_callback_incrementing, gen_for_range_callback, gen_if_else_expr_callback},
         CodeGenContext, CodeGenerator,
     },
@@ -22,14 +21,20 @@ use crate::{
         numpy::{make_ndarray_ty, unpack_ndarray_var_tys},
         DefinitionId,
     },
-    typecheck::typedef::{FunSignature, Type, TypeEnum},
+    typecheck::{
+        magic_methods::Binop,
+        typedef::{FunSignature, Type, TypeEnum},
+    },
 };
-use inkwell::types::{AnyTypeEnum, BasicTypeEnum, PointerType};
 use inkwell::{
     types::BasicType,
     values::{BasicValueEnum, IntValue, PointerValue},
     AddressSpace, IntPredicate, OptimizationLevel,
 };
+use inkwell::{
+    types::{AnyTypeEnum, BasicTypeEnum, PointerType},
+    values::BasicValue,
+};
 use nac3parser::ast::{Operator, StrRef};
 
 /// Creates an uninitialized `NDArray` instance.
@@ -84,9 +89,10 @@ where
     gen_for_callback_incrementing(
         generator,
         ctx,
+        None,
         llvm_usize.const_zero(),
         (shape_len, false),
-        |generator, ctx, i| {
+        |generator, ctx, _, i| {
             let shape_dim = shape_data_fn(generator, ctx, shape, i)?;
             debug_assert!(shape_dim.get_type().get_bit_width() <= llvm_usize.get_bit_width());
 
@@ -129,9 +135,10 @@ where
     gen_for_callback_incrementing(
         generator,
         ctx,
+        None,
         llvm_usize.const_zero(),
         (shape_len, false),
-        |generator, ctx, i| {
+        |generator, ctx, _, i| {
             let shape_dim = shape_data_fn(generator, ctx, shape, i)?;
             debug_assert!(shape_dim.get_type().get_bit_width() <= llvm_usize.get_bit_width());
             let shape_dim = ctx.builder.build_int_z_extend(shape_dim, llvm_usize, "").unwrap();
@@ -155,7 +162,7 @@ where
 ///
 /// * `elem_ty` - The element type of the `NDArray`.
 /// * `shape` - The shape of the `NDArray`, represented am array of [`IntValue`]s.
-fn create_ndarray_const_shape<'ctx, G: CodeGenerator + ?Sized>(
+pub fn create_ndarray_const_shape<'ctx, G: CodeGenerator + ?Sized>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, '_>,
     elem_ty: Type,
@@ -380,9 +387,10 @@ where
     gen_for_callback_incrementing(
         generator,
         ctx,
+        None,
         llvm_usize.const_zero(),
         (ndarray_num_elems, false),
-        |generator, ctx, i| {
+        |generator, ctx, _, i| {
             let elem = unsafe { ndarray.data().ptr_offset_unchecked(ctx, generator, &i, None) };
 
             let value = value_fn(generator, ctx, i)?;
@@ -701,11 +709,12 @@ fn ndarray_from_ndlist_impl<'ctx, G: CodeGenerator + ?Sized>(
             gen_for_range_callback(
                 generator,
                 ctx,
+                None,
                 true,
                 |_, _| Ok(llvm_usize.const_zero()),
                 (|_, ctx| Ok(src_lst.load_size(ctx, None)), false),
                 |_, _| Ok(llvm_usize.const_int(1, false)),
-                |generator, ctx, i| {
+                |generator, ctx, _, i| {
                     let offset = ctx.builder.build_int_mul(stride, i, "").unwrap();
 
                     let dst_ptr =
@@ -739,6 +748,8 @@ fn ndarray_from_ndlist_impl<'ctx, G: CodeGenerator + ?Sized>(
         _ => {
             let lst_len = src_lst.load_size(ctx, None);
             let sizeof_elem = ctx.get_llvm_type(generator, elem_ty).size_of().unwrap();
+            let sizeof_elem = ctx.builder.build_int_cast(sizeof_elem, llvm_usize, "").unwrap();
+
             let cpy_len = ctx
                 .builder
                 .build_int_mul(
@@ -939,11 +950,12 @@ fn call_ndarray_array_impl<'ctx, G: CodeGenerator + ?Sized>(
                     gen_for_range_callback(
                         generator,
                         ctx,
+                        None,
                         true,
                         |_, _| Ok(llvm_usize.const_zero()),
                         (|_, _| Ok(stop), false),
                         |_, _| Ok(llvm_usize.const_int(1, false)),
-                        |generator, ctx, _| {
+                        |generator, ctx, _, _| {
                             let plist_plist_i8 = make_llvm_list(llvm_plist_i8.into())
                                 .ptr_type(AddressSpace::default());
 
@@ -1082,13 +1094,17 @@ fn ndarray_sliced_copyto_impl<'ctx, G: CodeGenerator + ?Sized>(
 
     // If there are no (remaining) slice expressions, memcpy the entire dimension
     if slices.is_empty() {
+        let sizeof_elem = ctx.get_llvm_type(generator, elem_ty).size_of().unwrap();
+
         let stride = call_ndarray_calc_size(
             generator,
             ctx,
             &src_arr.dim_sizes(),
             (Some(llvm_usize.const_int(dim, false)), None),
         );
-        let sizeof_elem = ctx.get_llvm_type(generator, elem_ty).size_of().unwrap();
+        let stride =
+            ctx.builder.build_int_z_extend_or_bit_cast(stride, sizeof_elem.get_type(), "").unwrap();
+
         let cpy_len = ctx.builder.build_int_mul(stride, sizeof_elem, "").unwrap();
 
         call_memcpy_generic(ctx, dst_slice_ptr, src_slice_ptr, cpy_len, llvm_i1.const_zero());
@@ -1122,11 +1138,12 @@ fn ndarray_sliced_copyto_impl<'ctx, G: CodeGenerator + ?Sized>(
     gen_for_range_callback(
         generator,
         ctx,
+        None,
         false,
         |_, _| Ok(start),
         (|_, _| Ok(stop), true),
         |_, _| Ok(step),
-        |generator, ctx, src_i| {
+        |generator, ctx, _, src_i| {
             // Calculate the offset of the active slice
             let src_data_offset = ctx.builder.build_int_mul(src_stride, src_i, "").unwrap();
             let dst_i =
@@ -1239,9 +1256,10 @@ pub fn ndarray_sliced_copy<'ctx, G: CodeGenerator + ?Sized>(
         gen_for_callback_incrementing(
             generator,
             ctx,
+            None,
             llvm_usize.const_int(slices.len() as u64, false),
             (this.load_ndims(ctx), false),
-            |generator, ctx, idx| {
+            |generator, ctx, _, idx| {
                 unsafe {
                     let dim_sz = this.dim_sizes().get_typed_unchecked(ctx, generator, &idx, None);
                     ndarray.dim_sizes().set_typed_unchecked(ctx, generator, &idx, dim_sz);
@@ -1643,9 +1661,10 @@ pub fn ndarray_matmul_2d<'ctx, G: CodeGenerator>(
         gen_for_callback_incrementing(
             generator,
             ctx,
+            None,
             llvm_i32.const_zero(),
             (common_dim, false),
-            |generator, ctx, i| {
+            |generator, ctx, _, i| {
                 let i = ctx.builder.build_int_truncate(i, llvm_i32, "").unwrap();
 
                 let ab_idx = generator.gen_array_var_alloc(
@@ -1677,10 +1696,9 @@ pub fn ndarray_matmul_2d<'ctx, G: CodeGenerator>(
                     generator,
                     ctx,
                     (&Some(elem_ty), a),
-                    Operator::Mult,
+                    Binop::normal(Operator::Mult),
                     (&Some(elem_ty), b),
                     ctx.current_loc,
-                    false,
                 )?
                 .unwrap()
                 .to_basic_value_enum(ctx, generator, elem_ty)?;
@@ -1690,10 +1708,9 @@ pub fn ndarray_matmul_2d<'ctx, G: CodeGenerator>(
                     generator,
                     ctx,
                     (&Some(elem_ty), result),
-                    Operator::Add,
+                    Binop::normal(Operator::Add),
                     (&Some(elem_ty), a_mul_b),
                     ctx.current_loc,
-                    false,
                 )?
                 .unwrap()
                 .to_basic_value_enum(ctx, generator, elem_ty)?;
@@ -1802,10 +1819,15 @@ pub fn gen_ndarray_array<'ctx>(
             unpack_ndarray_var_tys(&mut context.unifier, obj_ty).0
         }
 
-        TypeEnum::TList { ty } => {
+        TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
-            let mut ty = *ty;
+            let mut ty = *params.iter().next().unwrap().1;
-            while let TypeEnum::TList { ty: elem_ty } = &*context.unifier.get_ty_immutable(ty) {
+            while let TypeEnum::TObj { obj_id, params, .. } = &*context.unifier.get_ty_immutable(ty)
-                ty = *elem_ty;
+            {
+                if *obj_id != PrimDef::List.id() {
+                    break;
+                }
+
+                ty = *params.iter().next().unwrap().1;
             }
             ty
         }
@@ -2007,3 +2029,493 @@ pub fn gen_ndarray_fill<'ctx>(
 
     Ok(())
 }
+
+/// Generates LLVM IR for `ndarray.transpose`.
+pub fn ndarray_transpose<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "ndarray_transpose";
+    let (x1_ty, x1) = x1;
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let n_sz = call_ndarray_calc_size(generator, ctx, &n1.dim_sizes(), (None, None));
+
+        // Dimensions are reversed in the transposed array
+        let out = create_ndarray_dyn_shape(
+            generator,
+            ctx,
+            elem_ty,
+            &n1,
+            |_, ctx, n| Ok(n.load_ndims(ctx)),
+            |generator, ctx, n, idx| {
+                let new_idx = ctx.builder.build_int_sub(n.load_ndims(ctx), idx, "").unwrap();
+                let new_idx = ctx
+                    .builder
+                    .build_int_sub(new_idx, new_idx.get_type().const_int(1, false), "")
+                    .unwrap();
+                unsafe { Ok(n.dim_sizes().get_typed_unchecked(ctx, generator, &new_idx, None)) }
+            },
+        )
+        .unwrap();
+
+        gen_for_callback_incrementing(
+            generator,
+            ctx,
+            None,
+            llvm_usize.const_zero(),
+            (n_sz, false),
+            |generator, ctx, _, idx| {
+                let elem = unsafe { n1.data().get_unchecked(ctx, generator, &idx, None) };
+
+                let new_idx = generator.gen_var_alloc(ctx, llvm_usize.into(), None)?;
+                let rem_idx = generator.gen_var_alloc(ctx, llvm_usize.into(), None)?;
+                ctx.builder.build_store(new_idx, llvm_usize.const_zero()).unwrap();
+                ctx.builder.build_store(rem_idx, idx).unwrap();
+
+                // Incrementally calculate the new index in the transposed array
+                // For each index, we first decompose it into the n-dims and use those to reconstruct the new index
+                // The formula used for indexing is:
+                // idx = dim_n * ( ... (dim2 * (dim0 * dim1) + dim1) + dim2 ... ) + dim_n
+                gen_for_callback_incrementing(
+                    generator,
+                    ctx,
+                    None,
+                    llvm_usize.const_zero(),
+                    (n1.load_ndims(ctx), false),
+                    |generator, ctx, _, ndim| {
+                        let ndim_rev =
+                            ctx.builder.build_int_sub(n1.load_ndims(ctx), ndim, "").unwrap();
+                        let ndim_rev = ctx
+                            .builder
+                            .build_int_sub(ndim_rev, llvm_usize.const_int(1, false), "")
+                            .unwrap();
+                        let dim = unsafe {
+                            n1.dim_sizes().get_typed_unchecked(ctx, generator, &ndim_rev, None)
+                        };
+
+                        let rem_idx_val =
+                            ctx.builder.build_load(rem_idx, "").unwrap().into_int_value();
+                        let new_idx_val =
+                            ctx.builder.build_load(new_idx, "").unwrap().into_int_value();
+
+                        let add_component =
+                            ctx.builder.build_int_unsigned_rem(rem_idx_val, dim, "").unwrap();
+                        let rem_idx_val =
+                            ctx.builder.build_int_unsigned_div(rem_idx_val, dim, "").unwrap();
+
+                        let new_idx_val = ctx.builder.build_int_mul(new_idx_val, dim, "").unwrap();
+                        let new_idx_val =
+                            ctx.builder.build_int_add(new_idx_val, add_component, "").unwrap();
+
+                        ctx.builder.build_store(rem_idx, rem_idx_val).unwrap();
+                        ctx.builder.build_store(new_idx, new_idx_val).unwrap();
+
+                        Ok(())
+                    },
+                    llvm_usize.const_int(1, false),
+                )?;
+
+                let new_idx_val = ctx.builder.build_load(new_idx, "").unwrap().into_int_value();
+                unsafe { out.data().set_unchecked(ctx, generator, &new_idx_val, elem) };
+                Ok(())
+            },
+            llvm_usize.const_int(1, false),
+        )?;
+
+        Ok(out.as_base_value().into())
+    } else {
+        unreachable!(
+            "{FN_NAME}() not supported for '{}'",
+            format!("'{}'", ctx.unifier.stringify(x1_ty))
+        )
+    }
+}
+
+/// LLVM-typed implementation for generating the implementation for `ndarray.reshape`.
+///
+/// * `x1` - `NDArray` to reshape.
+/// * `shape` - The `shape` parameter used to construct the new `NDArray`.
+/// Just like numpy, the `shape` argument can be:
+///   1. A list of `int32`;   e.g., `np.reshape(arr, [600, -1, 3])`
+///   2. A tuple of `int32`;  e.g., `np.reshape(arr, (-1, 800, 3))`
+///   3. A scalar `int32`;     e.g., `np.reshape(arr, 3)`
+/// Note that unlike other generating functions, one of the dimesions in the shape can be negative
+pub fn ndarray_reshape<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+    shape: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "ndarray_reshape";
+    let (x1_ty, x1) = x1;
+    let (_, shape) = shape;
+
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    if let BasicValueEnum::PointerValue(n1) = x1 {
+        let (elem_ty, _) = unpack_ndarray_var_tys(&mut ctx.unifier, x1_ty);
+        let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+        let n_sz = call_ndarray_calc_size(generator, ctx, &n1.dim_sizes(), (None, None));
+
+        let acc = generator.gen_var_alloc(ctx, llvm_usize.into(), None)?;
+        let num_neg = generator.gen_var_alloc(ctx, llvm_usize.into(), None)?;
+        ctx.builder.build_store(acc, llvm_usize.const_int(1, false)).unwrap();
+        ctx.builder.build_store(num_neg, llvm_usize.const_zero()).unwrap();
+
+        let out = match shape {
+            BasicValueEnum::PointerValue(shape_list_ptr)
+                if ListValue::is_instance(shape_list_ptr, llvm_usize).is_ok() =>
+            {
+                // 1. A list of ints; e.g., `np.reshape(arr, [int64(600), int64(800, -1])`
+
+                let shape_list = ListValue::from_ptr_val(shape_list_ptr, llvm_usize, None);
+                // Check for -1 in dimensions
+                gen_for_callback_incrementing(
+                    generator,
+                    ctx,
+                    None,
+                    llvm_usize.const_zero(),
+                    (shape_list.load_size(ctx, None), false),
+                    |generator, ctx, _, idx| {
+                        let ele =
+                            shape_list.data().get(ctx, generator, &idx, None).into_int_value();
+                        let ele = ctx.builder.build_int_s_extend(ele, llvm_usize, "").unwrap();
+
+                        gen_if_else_expr_callback(
+                            generator,
+                            ctx,
+                            |_, ctx| {
+                                Ok(ctx
+                                    .builder
+                                    .build_int_compare(
+                                        IntPredicate::SLT,
+                                        ele,
+                                        llvm_usize.const_zero(),
+                                        "",
+                                    )
+                                    .unwrap())
+                            },
+                            |_, ctx| -> Result<Option<IntValue>, String> {
+                                let num_neg_value =
+                                    ctx.builder.build_load(num_neg, "").unwrap().into_int_value();
+                                let num_neg_value = ctx
+                                    .builder
+                                    .build_int_add(
+                                        num_neg_value,
+                                        llvm_usize.const_int(1, false),
+                                        "",
+                                    )
+                                    .unwrap();
+                                ctx.builder.build_store(num_neg, num_neg_value).unwrap();
+                                Ok(None)
+                            },
+                            |_, ctx| {
+                                let acc_value =
+                                    ctx.builder.build_load(acc, "").unwrap().into_int_value();
+                                let acc_value =
+                                    ctx.builder.build_int_mul(acc_value, ele, "").unwrap();
+                                ctx.builder.build_store(acc, acc_value).unwrap();
+                                Ok(None)
+                            },
+                        )?;
+                        Ok(())
+                    },
+                    llvm_usize.const_int(1, false),
+                )?;
+                let acc_val = ctx.builder.build_load(acc, "").unwrap().into_int_value();
+                let rem = ctx.builder.build_int_unsigned_div(n_sz, acc_val, "").unwrap();
+                // Generate the output shape by filling -1 with `rem`
+                create_ndarray_dyn_shape(
+                    generator,
+                    ctx,
+                    elem_ty,
+                    &shape_list,
+                    |_, ctx, _| Ok(shape_list.load_size(ctx, None)),
+                    |generator, ctx, shape_list, idx| {
+                        let dim =
+                            shape_list.data().get(ctx, generator, &idx, None).into_int_value();
+                        let dim = ctx.builder.build_int_s_extend(dim, llvm_usize, "").unwrap();
+
+                        Ok(gen_if_else_expr_callback(
+                            generator,
+                            ctx,
+                            |_, ctx| {
+                                Ok(ctx
+                                    .builder
+                                    .build_int_compare(
+                                        IntPredicate::SLT,
+                                        dim,
+                                        llvm_usize.const_zero(),
+                                        "",
+                                    )
+                                    .unwrap())
+                            },
+                            |_, _| Ok(Some(rem)),
+                            |_, _| Ok(Some(dim)),
+                        )?
+                        .unwrap()
+                        .into_int_value())
+                    },
+                )
+            }
+            BasicValueEnum::StructValue(shape_tuple) => {
+                // 2. A tuple of `int32`;  e.g., `np.reshape(arr, (-1, 800, 3))`
+
+                let ndims = shape_tuple.get_type().count_fields();
+                // Check for -1 in dims
+                for dim_i in 0..ndims {
+                    let dim = ctx
+                        .builder
+                        .build_extract_value(shape_tuple, dim_i, "")
+                        .unwrap()
+                        .into_int_value();
+                    let dim = ctx.builder.build_int_s_extend(dim, llvm_usize, "").unwrap();
+
+                    gen_if_else_expr_callback(
+                        generator,
+                        ctx,
+                        |_, ctx| {
+                            Ok(ctx
+                                .builder
+                                .build_int_compare(
+                                    IntPredicate::SLT,
+                                    dim,
+                                    llvm_usize.const_zero(),
+                                    "",
+                                )
+                                .unwrap())
+                        },
+                        |_, ctx| -> Result<Option<IntValue>, String> {
+                            let num_negs =
+                                ctx.builder.build_load(num_neg, "").unwrap().into_int_value();
+                            let num_negs = ctx
+                                .builder
+                                .build_int_add(num_negs, llvm_usize.const_int(1, false), "")
+                                .unwrap();
+                            ctx.builder.build_store(num_neg, num_negs).unwrap();
+                            Ok(None)
+                        },
+                        |_, ctx| {
+                            let acc_val = ctx.builder.build_load(acc, "").unwrap().into_int_value();
+                            let acc_val = ctx.builder.build_int_mul(acc_val, dim, "").unwrap();
+                            ctx.builder.build_store(acc, acc_val).unwrap();
+                            Ok(None)
+                        },
+                    )?;
+                }
+
+                let acc_val = ctx.builder.build_load(acc, "").unwrap().into_int_value();
+                let rem = ctx.builder.build_int_unsigned_div(n_sz, acc_val, "").unwrap();
+                let mut shape = Vec::with_capacity(ndims as usize);
+
+                // Reconstruct shape filling negatives with rem
+                for dim_i in 0..ndims {
+                    let dim = ctx
+                        .builder
+                        .build_extract_value(shape_tuple, dim_i, "")
+                        .unwrap()
+                        .into_int_value();
+                    let dim = ctx.builder.build_int_s_extend(dim, llvm_usize, "").unwrap();
+
+                    let dim = gen_if_else_expr_callback(
+                        generator,
+                        ctx,
+                        |_, ctx| {
+                            Ok(ctx
+                                .builder
+                                .build_int_compare(
+                                    IntPredicate::SLT,
+                                    dim,
+                                    llvm_usize.const_zero(),
+                                    "",
+                                )
+                                .unwrap())
+                        },
+                        |_, _| Ok(Some(rem)),
+                        |_, _| Ok(Some(dim)),
+                    )?
+                    .unwrap()
+                    .into_int_value();
+                    shape.push(dim);
+                }
+                create_ndarray_const_shape(generator, ctx, elem_ty, shape.as_slice())
+            }
+            BasicValueEnum::IntValue(shape_int) => {
+                // 3. A scalar `int32`;     e.g., `np.reshape(arr, 3)`
+                let shape_int = gen_if_else_expr_callback(
+                    generator,
+                    ctx,
+                    |_, ctx| {
+                        Ok(ctx
+                            .builder
+                            .build_int_compare(
+                                IntPredicate::SLT,
+                                shape_int,
+                                llvm_usize.const_zero(),
+                                "",
+                            )
+                            .unwrap())
+                    },
+                    |_, _| Ok(Some(n_sz)),
+                    |_, ctx| {
+                        Ok(Some(ctx.builder.build_int_s_extend(shape_int, llvm_usize, "").unwrap()))
+                    },
+                )?
+                .unwrap()
+                .into_int_value();
+                create_ndarray_const_shape(generator, ctx, elem_ty, &[shape_int])
+            }
+            _ => unreachable!(),
+        }
+        .unwrap();
+
+        // Only allow one dimension to be negative
+        let num_negs = ctx.builder.build_load(num_neg, "").unwrap().into_int_value();
+        ctx.make_assert(
+            generator,
+            ctx.builder
+                .build_int_compare(IntPredicate::ULT, num_negs, llvm_usize.const_int(2, false), "")
+                .unwrap(),
+            "0:ValueError",
+            "can only specify one unknown dimension",
+            [None, None, None],
+            ctx.current_loc,
+        );
+
+        // The new shape must be compatible with the old shape
+        let out_sz = call_ndarray_calc_size(generator, ctx, &out.dim_sizes(), (None, None));
+        ctx.make_assert(
+            generator,
+            ctx.builder.build_int_compare(IntPredicate::EQ, out_sz, n_sz, "").unwrap(),
+            "0:ValueError",
+            "cannot reshape array of size {0} into provided shape of size {1}",
+            [Some(n_sz), Some(out_sz), None],
+            ctx.current_loc,
+        );
+
+        gen_for_callback_incrementing(
+            generator,
+            ctx,
+            None,
+            llvm_usize.const_zero(),
+            (n_sz, false),
+            |generator, ctx, _, idx| {
+                let elem = unsafe { n1.data().get_unchecked(ctx, generator, &idx, None) };
+                unsafe { out.data().set_unchecked(ctx, generator, &idx, elem) };
+                Ok(())
+            },
+            llvm_usize.const_int(1, false),
+        )?;
+
+        Ok(out.as_base_value().into())
+    } else {
+        unreachable!(
+            "{FN_NAME}() not supported for '{}'",
+            format!("'{}'", ctx.unifier.stringify(x1_ty))
+        )
+    }
+}
+
+/// Generates LLVM IR for `ndarray.dot`.
+/// Calculate inner product of two vectors or literals
+/// For matrix multiplication use `np_matmul`
+///
+/// The input `NDArray` are flattened and treated as 1D
+/// The operation is equivalent to `np.dot(arr1.ravel(), arr2.ravel())`
+pub fn ndarray_dot<'ctx, G: CodeGenerator + ?Sized>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    x1: (Type, BasicValueEnum<'ctx>),
+    x2: (Type, BasicValueEnum<'ctx>),
+) -> Result<BasicValueEnum<'ctx>, String> {
+    const FN_NAME: &str = "ndarray_dot";
+    let (x1_ty, x1) = x1;
+    let (_, x2) = x2;
+
+    let llvm_usize = generator.get_size_type(ctx.ctx);
+
+    match (x1, x2) {
+        (BasicValueEnum::PointerValue(n1), BasicValueEnum::PointerValue(n2)) => {
+            let n1 = NDArrayValue::from_ptr_val(n1, llvm_usize, None);
+            let n2 = NDArrayValue::from_ptr_val(n2, llvm_usize, None);
+
+            let n1_sz = call_ndarray_calc_size(generator, ctx, &n1.dim_sizes(), (None, None));
+            let n2_sz = call_ndarray_calc_size(generator, ctx, &n1.dim_sizes(), (None, None));
+
+            ctx.make_assert(
+                generator,
+                ctx.builder.build_int_compare(IntPredicate::EQ, n1_sz, n2_sz, "").unwrap(),
+                "0:ValueError",
+                "shapes ({0}), ({1}) not aligned",
+                [Some(n1_sz), Some(n2_sz), None],
+                ctx.current_loc,
+            );
+
+            let identity =
+                unsafe { n1.data().get_unchecked(ctx, generator, &llvm_usize.const_zero(), None) };
+            let acc = ctx.builder.build_alloca(identity.get_type(), "").unwrap();
+            ctx.builder.build_store(acc, identity.get_type().const_zero()).unwrap();
+
+            gen_for_callback_incrementing(
+                generator,
+                ctx,
+                None,
+                llvm_usize.const_zero(),
+                (n1_sz, false),
+                |generator, ctx, _, idx| {
+                    let elem1 = unsafe { n1.data().get_unchecked(ctx, generator, &idx, None) };
+                    let elem2 = unsafe { n2.data().get_unchecked(ctx, generator, &idx, None) };
+
+                    let product = match elem1 {
+                        BasicValueEnum::IntValue(e1) => ctx
+                            .builder
+                            .build_int_mul(e1, elem2.into_int_value(), "")
+                            .unwrap()
+                            .as_basic_value_enum(),
+                        BasicValueEnum::FloatValue(e1) => ctx
+                            .builder
+                            .build_float_mul(e1, elem2.into_float_value(), "")
+                            .unwrap()
+                            .as_basic_value_enum(),
+                        _ => unreachable!(),
+                    };
+                    let acc_val = ctx.builder.build_load(acc, "").unwrap();
+                    let acc_val = match acc_val {
+                        BasicValueEnum::IntValue(e1) => ctx
+                            .builder
+                            .build_int_add(e1, product.into_int_value(), "")
+                            .unwrap()
+                            .as_basic_value_enum(),
+                        BasicValueEnum::FloatValue(e1) => ctx
+                            .builder
+                            .build_float_add(e1, product.into_float_value(), "")
+                            .unwrap()
+                            .as_basic_value_enum(),
+                        _ => unreachable!(),
+                    };
+                    ctx.builder.build_store(acc, acc_val).unwrap();
+
+                    Ok(())
+                },
+                llvm_usize.const_int(1, false),
+            )?;
+            let acc_val = ctx.builder.build_load(acc, "").unwrap();
+            Ok(acc_val)
+        }
+        (BasicValueEnum::IntValue(e1), BasicValueEnum::IntValue(e2)) => {
+            Ok(ctx.builder.build_int_mul(e1, e2, "").unwrap().as_basic_value_enum())
+        }
+        (BasicValueEnum::FloatValue(e1), BasicValueEnum::FloatValue(e2)) => {
+            Ok(ctx.builder.build_float_mul(e1, e2, "").unwrap().as_basic_value_enum())
+        }
+        _ => unreachable!(
+            "{FN_NAME}() not supported for '{}'",
+            format!("'{}'", ctx.unifier.stringify(x1_ty))
+        ),
+    }
+}

nac3core/src/codegen/stmt.rs

@@ -10,8 +10,11 @@ use crate::{
         expr::gen_binop_expr,
         gen_in_range_check,
     },
-    toplevel::{helper::PrimDef, numpy::unpack_ndarray_var_tys, DefinitionId, TopLevelDef},
+    toplevel::{DefinitionId, TopLevelDef},
-    typecheck::typedef::{FunSignature, Type, TypeEnum},
+    typecheck::{
+        magic_methods::Binop,
+        typedef::{iter_type_vars, FunSignature, Type, TypeEnum},
+    },
 };
 use inkwell::{
     attributes::{Attribute, AttributeLoc},
@@ -20,10 +23,10 @@ use inkwell::{
     values::{BasicValue, BasicValueEnum, FunctionValue, IntValue, PointerValue},
     IntPredicate,
 };
+use itertools::{izip, Itertools};
 use nac3parser::ast::{
     Constant, ExcepthandlerKind, Expr, ExprKind, Location, Stmt, StmtKind, StrRef,
 };
-use std::convert::TryFrom;
 
 /// See [`CodeGenerator::gen_var_alloc`].
 pub fn gen_var<'ctx>(
@@ -94,8 +97,6 @@ pub fn gen_store_target<'ctx, G: CodeGenerator>(
     pattern: &Expr<Option<Type>>,
     name: Option<&str>,
 ) -> Result<Option<PointerValue<'ctx>>, String> {
-    let llvm_usize = generator.get_size_type(ctx.ctx);
-
     // very similar to gen_expr, but we don't do an extra load at the end
     // and we flatten nested tuples
     Ok(Some(match &pattern.node {
@@ -134,65 +135,6 @@ pub fn gen_store_target<'ctx, G: CodeGenerator>(
             }
             .unwrap()
         }
-        ExprKind::Subscript { value, slice, .. } => {
-            match ctx.unifier.get_ty_immutable(value.custom.unwrap()).as_ref() {
-                TypeEnum::TList { .. } => {
-                    let v = generator
-                        .gen_expr(ctx, value)?
-                        .unwrap()
-                        .to_basic_value_enum(ctx, generator, value.custom.unwrap())?
-                        .into_pointer_value();
-                    let v = ListValue::from_ptr_val(v, llvm_usize, None);
-                    let len = v.load_size(ctx, Some("len"));
-                    let raw_index = generator
-                        .gen_expr(ctx, slice)?
-                        .unwrap()
-                        .to_basic_value_enum(ctx, generator, slice.custom.unwrap())?
-                        .into_int_value();
-                    let raw_index = ctx
-                        .builder
-                        .build_int_s_extend(raw_index, generator.get_size_type(ctx.ctx), "sext")
-                        .unwrap();
-                    // handle negative index
-                    let is_negative = ctx
-                        .builder
-                        .build_int_compare(
-                            IntPredicate::SLT,
-                            raw_index,
-                            generator.get_size_type(ctx.ctx).const_zero(),
-                            "is_neg",
-                        )
-                        .unwrap();
-                    let adjusted = ctx.builder.build_int_add(raw_index, len, "adjusted").unwrap();
-                    let index = ctx
-                        .builder
-                        .build_select(is_negative, adjusted, raw_index, "index")
-                        .map(BasicValueEnum::into_int_value)
-                        .unwrap();
-                    // unsigned less than is enough, because negative index after adjustment is
-                    // bigger than the length (for unsigned cmp)
-                    let bound_check = ctx
-                        .builder
-                        .build_int_compare(IntPredicate::ULT, index, len, "inbound")
-                        .unwrap();
-                    ctx.make_assert(
-                        generator,
-                        bound_check,
-                        "0:IndexError",
-                        "index {0} out of bounds 0:{1}",
-                        [Some(raw_index), Some(len), None],
-                        slice.location,
-                    );
-                    v.data().ptr_offset(ctx, generator, &index, name)
-                }
-
-                TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
-                    todo!()
-                }
-
-                _ => unreachable!(),
-            }
-        }
         _ => unreachable!(),
     }))
 }
@@ -203,68 +145,20 @@ pub fn gen_assign<'ctx, G: CodeGenerator>(
     ctx: &mut CodeGenContext<'ctx, '_>,
     target: &Expr<Option<Type>>,
     value: ValueEnum<'ctx>,
+    value_ty: Type,
 ) -> Result<(), String> {
-    let llvm_usize = generator.get_size_type(ctx.ctx);
+    // See https://docs.python.org/3/reference/simple_stmts.html#assignment-statements.
-
     match &target.node {
-        ExprKind::Tuple { elts, .. } => {
+        ExprKind::Subscript { value: target, slice: key, .. } => {
-            let BasicValueEnum::StructValue(v) =
+            // Handle "slicing" or "subscription"
-                value.to_basic_value_enum(ctx, generator, target.custom.unwrap())?
+            generator.gen_setitem(ctx, target, key, value, value_ty)?;
-            else {
-                unreachable!()
-            };
-
-            for (i, elt) in elts.iter().enumerate() {
-                let v = ctx
-                    .builder
-                    .build_extract_value(v, u32::try_from(i).unwrap(), "struct_elem")
-                    .unwrap();
-                generator.gen_assign(ctx, elt, v.into())?;
         }
-        }
+        ExprKind::Tuple { elts, .. } | ExprKind::List { elts, .. } => {
-        ExprKind::Subscript { value: ls, slice, .. }
+            // Fold on `"[" [target_list] "]"` and `"(" [target_list] ")"`
-            if matches!(&slice.node, ExprKind::Slice { .. }) =>
+            generator.gen_assign_target_list(ctx, elts, value, value_ty)?;
-        {
-            let ExprKind::Slice { lower, upper, step } = &slice.node else { unreachable!() };
-
-            let ls = generator
-                .gen_expr(ctx, ls)?
-                .unwrap()
-                .to_basic_value_enum(ctx, generator, ls.custom.unwrap())?
-                .into_pointer_value();
-            let ls = ListValue::from_ptr_val(ls, llvm_usize, None);
-            let Some((start, end, step)) =
-                handle_slice_indices(lower, upper, step, ctx, generator, ls.load_size(ctx, None))?
-            else {
-                return Ok(());
-            };
-            let value = value
-                .to_basic_value_enum(ctx, generator, target.custom.unwrap())?
-                .into_pointer_value();
-            let value = ListValue::from_ptr_val(value, llvm_usize, None);
-            let ty = match &*ctx.unifier.get_ty_immutable(target.custom.unwrap()) {
-                TypeEnum::TList { ty } => *ty,
-                TypeEnum::TObj { obj_id, .. } if *obj_id == PrimDef::NDArray.id() => {
-                    unpack_ndarray_var_tys(&mut ctx.unifier, target.custom.unwrap()).0
-                }
-                _ => unreachable!(),
-            };
-
-            let ty = ctx.get_llvm_type(generator, ty);
-            let Some(src_ind) = handle_slice_indices(
-                &None,
-                &None,
-                &None,
-                ctx,
-                generator,
-                value.load_size(ctx, None),
-            )?
-            else {
-                return Ok(());
-            };
-            list_slice_assignment(generator, ctx, ty, ls, (start, end, step), value, src_ind);
         }
         _ => {
+            // Handle attribute and direct variable assignments.
             let name = if let ExprKind::Name { id, .. } = &target.node {
                 format!("{id}.addr")
             } else {
@@ -288,6 +182,234 @@ pub fn gen_assign<'ctx, G: CodeGenerator>(
     Ok(())
 }
 
+/// See [`CodeGenerator::gen_assign_target_list`].
+pub fn gen_assign_target_list<'ctx, G: CodeGenerator>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    targets: &Vec<Expr<Option<Type>>>,
+    value: ValueEnum<'ctx>,
+    value_ty: Type,
+) -> Result<(), String> {
+    // Deconstruct the tuple `value`
+    let BasicValueEnum::StructValue(tuple) = value.to_basic_value_enum(ctx, generator, value_ty)?
+    else {
+        unreachable!()
+    };
+
+    // NOTE: Currently, RHS's type is forced to be a Tuple by the type inferencer.
+    let TypeEnum::TTuple { ty: tuple_tys, .. } = &*ctx.unifier.get_ty(value_ty) else {
+        unreachable!();
+    };
+
+    assert_eq!(tuple.get_type().count_fields() as usize, tuple_tys.len());
+
+    let tuple = (0..tuple.get_type().count_fields())
+        .map(|i| ctx.builder.build_extract_value(tuple, i, "item").unwrap())
+        .collect_vec();
+
+    // Find the starred target if it exists.
+    let mut starred_target_index: Option<usize> = None; // Index of the "starred" target. If it exists, there may only be one.
+    for (i, target) in targets.iter().enumerate() {
+        if matches!(target.node, ExprKind::Starred { .. }) {
+            assert!(starred_target_index.is_none()); // The typechecker ensures this
+            starred_target_index = Some(i);
+        }
+    }
+
+    if let Some(starred_target_index) = starred_target_index {
+        assert!(tuple_tys.len() >= targets.len() - 1); // The typechecker ensures this
+
+        let a = starred_target_index; // Number of RHS values before the starred target
+        let b = tuple_tys.len() - (targets.len() - 1 - starred_target_index); // Number of RHS values after the starred target
+                                                                              // Thus `tuple[a..b]` is assigned to the starred target.
+
+        // Handle assignment before the starred target
+        for (target, val, val_ty) in
+            izip!(&targets[..starred_target_index], &tuple[..a], &tuple_tys[..a])
+        {
+            generator.gen_assign(ctx, target, ValueEnum::Dynamic(*val), *val_ty)?;
+        }
+
+        // Handle assignment to the starred target
+        if let ExprKind::Starred { value: target, .. } = &targets[starred_target_index].node {
+            let vals = &tuple[a..b];
+            let val_tys = &tuple_tys[a..b];
+
+            // Create a sub-tuple from `value` for the starred target.
+            let sub_tuple_ty = ctx
+                .ctx
+                .struct_type(&vals.iter().map(BasicValueEnum::get_type).collect_vec(), false);
+            let psub_tuple_val =
+                ctx.builder.build_alloca(sub_tuple_ty, "starred_target_value_ptr").unwrap();
+            for (i, val) in vals.iter().enumerate() {
+                let pitem = ctx
+                    .builder
+                    .build_struct_gep(psub_tuple_val, i as u32, "starred_target_value_item")
+                    .unwrap();
+                ctx.builder.build_store(pitem, *val).unwrap();
+            }
+            let sub_tuple_val =
+                ctx.builder.build_load(psub_tuple_val, "starred_target_value").unwrap();
+
+            // Create the typechecker type of the sub-tuple
+            let sub_tuple_ty =
+                ctx.unifier.add_ty(TypeEnum::TTuple { ty: val_tys.to_vec(), is_vararg_ctx: false });
+
+            // Now assign with that sub-tuple to the starred target.
+            generator.gen_assign(ctx, target, ValueEnum::Dynamic(sub_tuple_val), sub_tuple_ty)?;
+        } else {
+            unreachable!() // The typechecker ensures this
+        }
+
+        // Handle assignment after the starred target
+        for (target, val, val_ty) in
+            izip!(&targets[starred_target_index + 1..], &tuple[b..], &tuple_tys[b..])
+        {
+            generator.gen_assign(ctx, target, ValueEnum::Dynamic(*val), *val_ty)?;
+        }
+    } else {
+        assert_eq!(tuple_tys.len(), targets.len()); // The typechecker ensures this
+
+        for (target, val, val_ty) in izip!(targets, tuple, tuple_tys) {
+            generator.gen_assign(ctx, target, ValueEnum::Dynamic(val), *val_ty)?;
+        }
+    }
+    Ok(())
+}
+
+/// See [`CodeGenerator::gen_setitem`].
+pub fn gen_setitem<'ctx, G: CodeGenerator>(
+    generator: &mut G,
+    ctx: &mut CodeGenContext<'ctx, '_>,
+    target: &Expr<Option<Type>>,
+    key: &Expr<Option<Type>>,
+    value: ValueEnum<'ctx>,
+    value_ty: Type,
+) -> Result<(), String> {
+    let target_ty = target.custom.unwrap();
+    let key_ty = key.custom.unwrap();
+
+    match &*ctx.unifier.get_ty(target_ty) {
+        TypeEnum::TObj { obj_id, params: list_params, .. }
+            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 target_item_ty = iter_type_vars(list_params).next().unwrap().ty;
+
+            let target = generator
+                .gen_expr(ctx, target)?
+                .unwrap()
+                .to_basic_value_enum(ctx, generator, target_ty)?
+                .into_pointer_value();
+            let target = ListValue::from_ptr_val(target, llvm_usize, None);
+
+            if let ExprKind::Slice { .. } = &key.node {
+                // Handle assigning to a slice
+                let ExprKind::Slice { lower, upper, step } = &key.node else { unreachable!() };
+                let Some((start, end, step)) = handle_slice_indices(
+                    lower,
+                    upper,
+                    step,
+                    ctx,
+                    generator,
+                    target.load_size(ctx, None),
+                )?
+                else {
+                    return Ok(());
+                };
+
+                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 target_item_ty = ctx.get_llvm_type(generator, target_item_ty);
+                let Some(src_ind) = handle_slice_indices(
+                    &None,
+                    &None,
+                    &None,
+                    ctx,
+                    generator,
+                    value.load_size(ctx, None),
+                )?
+                else {
+                    return Ok(());
+                };
+                list_slice_assignment(
+                    generator,
+                    ctx,
+                    target_item_ty,
+                    target,
+                    (start, end, step),
+                    value,
+                    src_ind,
+                );
+            } else {
+                // Handle assigning to an index
+                let len = target.load_size(ctx, Some("len"));
+
+                let index = generator
+                    .gen_expr(ctx, key)?
+                    .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();
+
+                // handle negative index
+                let is_negative = ctx
+                    .builder
+                    .build_int_compare(
+                        IntPredicate::SLT,
+                        index,
+                        generator.get_size_type(ctx.ctx).const_zero(),
+                        "is_neg",
+                    )
+                    .unwrap();
+                let adjusted = ctx.builder.build_int_add(index, len, "adjusted").unwrap();
+                let index = ctx
+                    .builder
+                    .build_select(is_negative, adjusted, index, "index")
+                    .map(BasicValueEnum::into_int_value)
+                    .unwrap();
+
+                // unsigned less than is enough, because negative index after adjustment is
+                // bigger than the length (for unsigned cmp)
+                let bound_check = ctx
+                    .builder
+                    .build_int_compare(IntPredicate::ULT, index, len, "inbound")
+                    .unwrap();
+                ctx.make_assert(
+                    generator,
+                    bound_check,
+                    "0:IndexError",
+                    "index {0} out of bounds 0:{1}",
+                    [Some(index), Some(len), None],
+                    key.location,
+                );
+
+                // Write value to index on list
+                let item_ptr =
+                    target.data().ptr_offset(ctx, generator, &index, Some("list_item_ptr"));
+                let value = value.to_basic_value_enum(ctx, generator, value_ty)?;
+                ctx.builder.build_store(item_ptr, value).unwrap();
+            }
+        }
+        TypeEnum::TObj { obj_id, .. }
+            if *obj_id == ctx.primitives.ndarray.obj_id(&ctx.unifier).unwrap() =>
+        {
+            // Handle NDArray item assignment
+            todo!("ndarray subscript assignment is not yet implemented");
+        }
+        _ => {
+            panic!("encountered unknown target type: {}", ctx.unifier.stringify(target_ty));
+        }
+    }
+    Ok(())
+}
+
 /// See [`CodeGenerator::gen_for`].
 pub fn gen_for<G: CodeGenerator>(
     generator: &mut G,
@@ -310,9 +432,6 @@ pub fn gen_for<G: CodeGenerator>(
     let orelse_bb =
         if orelse.is_empty() { cont_bb } else { ctx.ctx.append_basic_block(current, "for.orelse") };
 
-    // Whether the iterable is a range() expression
-    let is_iterable_range_expr = ctx.unifier.unioned(iter.custom.unwrap(), ctx.primitives.range);
-
     // The BB containing the increment expression
     let incr_bb = ctx.ctx.append_basic_block(current, "for.incr");
     // The BB containing the loop condition check
@@ -321,17 +440,23 @@ pub fn gen_for<G: CodeGenerator>(
     // store loop bb information and restore it later
     let loop_bb = ctx.loop_target.replace((incr_bb, cont_bb));
 
+    let iter_ty = iter.custom.unwrap();
     let iter_val = if let Some(v) = generator.gen_expr(ctx, iter)? {
-        v.to_basic_value_enum(ctx, generator, iter.custom.unwrap())?
+        v.to_basic_value_enum(ctx, generator, iter_ty)?
     } else {
         return Ok(());
     };
-    if is_iterable_range_expr {
+
+    match &*ctx.unifier.get_ty(iter_ty) {
+        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"));
             // 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
-        let Some(target_i) = generator.gen_store_target(ctx, target, Some("for.target.addr"))?
+            let Some(target_i) =
+                generator.gen_store_target(ctx, target, Some("for.target.addr"))?
             else {
                 unreachable!()
             };
@@ -340,8 +465,10 @@ pub fn gen_for<G: CodeGenerator>(
             ctx.builder.build_store(i, start).unwrap();
 
             // Check "If step is zero, ValueError is raised."
-        let rangenez =
+            let rangenez = ctx
-            ctx.builder.build_int_compare(IntPredicate::NE, step, int32.const_zero(), "").unwrap();
+                .builder
+                .build_int_compare(IntPredicate::NE, step, int32.const_zero(), "")
+                .unwrap();
             ctx.make_assert(
                 generator,
                 rangenez,
@@ -358,7 +485,10 @@ pub fn gen_for<G: CodeGenerator>(
                     .build_conditional_branch(
                         gen_in_range_check(
                             ctx,
-                        ctx.builder.build_load(i, "").map(BasicValueEnum::into_int_value).unwrap(),
+                            ctx.builder
+                                .build_load(i, "")
+                                .map(BasicValueEnum::into_int_value)
+                                .unwrap(),
                             stop,
                             step,
                         ),
@@ -388,7 +518,10 @@ pub fn gen_for<G: CodeGenerator>(
                 )
                 .unwrap();
             generator.gen_block(ctx, body.iter())?;
-    } else {
+        }
+        TypeEnum::TObj { obj_id, params: list_params, .. }
+            if *obj_id == ctx.primitives.list.obj_id(&ctx.unifier).unwrap() =>
+        {
             let index_addr = generator.gen_var_alloc(ctx, size_t.into(), Some("for.index.addr"))?;
             ctx.builder.build_store(index_addr, size_t.const_zero()).unwrap();
             let len = ctx
@@ -426,9 +559,14 @@ pub fn gen_for<G: CodeGenerator>(
                 .map(BasicValueEnum::into_int_value)
                 .unwrap();
             let val = ctx.build_gep_and_load(arr_ptr, &[index], Some("val"));
-        generator.gen_assign(ctx, target, val.into())?;
+            let val_ty = iter_type_vars(list_params).next().unwrap().ty;
+            generator.gen_assign(ctx, target, val.into(), val_ty)?;
             generator.gen_block(ctx, body.iter())?;
         }
+        _ => {
+            panic!("unsupported for loop iterator type: {}", ctx.unifier.stringify(iter_ty));
+        }
+    }
 
     for (k, (_, _, counter)) in &var_assignment {
         let (_, static_val, counter2) = ctx.var_assignment.get_mut(k).unwrap();
@@ -462,6 +600,16 @@ pub fn gen_for<G: CodeGenerator>(
     Ok(())
 }
 
+#[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>,
+
+    /// The [latch basic block][`BasicBlock`] to branch to for `continue`-ing to the next iteration
+    /// of the loop.
+    pub latch_bb: BasicBlock<'ctx>,
+}
+
 /// Generates a C-style `for` construct using lambdas, similar to the following C code:
 ///
 /// ```c
@@ -479,6 +627,7 @@ pub fn gen_for<G: CodeGenerator>(
 pub fn gen_for_callback<'ctx, 'a, G, I, InitFn, CondFn, BodyFn, UpdateFn>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, 'a>,
+    label: Option<&str>,
     init: InitFn,
     cond: CondFn,
     body: BodyFn,
@@ -489,17 +638,20 @@ where
     I: Clone,
     InitFn: FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>) -> Result<I, String>,
     CondFn: FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>, I) -> Result<IntValue<'ctx>, String>,
-    BodyFn: FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>, I) -> Result<(), String>,
+    BodyFn:
+        FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>, BreakContinueHooks, I) -> Result<(), String>,
     UpdateFn: FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>, I) -> Result<(), String>,
 {
+    let label = label.unwrap_or("for");
+
     let current_bb = ctx.builder.get_insert_block().unwrap();
-    let init_bb = ctx.ctx.insert_basic_block_after(current_bb, "for.init");
+    let init_bb = ctx.ctx.insert_basic_block_after(current_bb, &format!("{label}.init"));
     // The BB containing the loop condition check
-    let cond_bb = ctx.ctx.insert_basic_block_after(init_bb, "for.cond");
+    let cond_bb = ctx.ctx.insert_basic_block_after(init_bb, &format!("{label}.cond"));
-    let body_bb = ctx.ctx.insert_basic_block_after(cond_bb, "for.body");
+    let body_bb = ctx.ctx.insert_basic_block_after(cond_bb, &format!("{label}.body"));
     // The BB containing the increment expression
-    let update_bb = ctx.ctx.insert_basic_block_after(body_bb, "for.update");
+    let update_bb = ctx.ctx.insert_basic_block_after(body_bb, &format!("{label}.update"));
-    let cont_bb = ctx.ctx.insert_basic_block_after(update_bb, "for.end");
+    let cont_bb = ctx.ctx.insert_basic_block_after(update_bb, &format!("{label}.end"));
 
     // store loop bb information and restore it later
     let loop_bb = ctx.loop_target.replace((update_bb, cont_bb));
@@ -520,7 +672,8 @@ where
     }
 
     ctx.builder.position_at_end(body_bb);
-    body(generator, ctx, loop_var.clone())?;
+    let hooks = BreakContinueHooks { exit_bb: cont_bb, latch_bb: update_bb };
+    body(generator, ctx, hooks, loop_var.clone())?;
     if !ctx.is_terminated() {
         ctx.builder.build_unconditional_branch(update_bb).unwrap();
     }
@@ -555,6 +708,7 @@ where
 pub fn gen_for_callback_incrementing<'ctx, 'a, G, BodyFn>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, 'a>,
+    label: Option<&str>,
     init_val: IntValue<'ctx>,
     max_val: (IntValue<'ctx>, bool),
     body: BodyFn,
@@ -562,13 +716,19 @@ pub fn gen_for_callback_incrementing<'ctx, 'a, G, BodyFn>(
 ) -> Result<(), String>
 where
     G: CodeGenerator + ?Sized,
-    BodyFn: FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>, IntValue<'ctx>) -> Result<(), String>,
+    BodyFn: FnOnce(
+        &mut G,
+        &mut CodeGenContext<'ctx, 'a>,
+        BreakContinueHooks,
+        IntValue<'ctx>,
+    ) -> Result<(), String>,
 {
     let init_val_t = init_val.get_type();
 
     gen_for_callback(
         generator,
         ctx,
+        label,
         |generator, ctx| {
             let i_addr = generator.gen_var_alloc(ctx, init_val_t.into(), None)?;
             ctx.builder.build_store(i_addr, init_val).unwrap();
@@ -584,10 +744,10 @@ where
 
             Ok(ctx.builder.build_int_compare(cmp_op, i, max_val, "").unwrap())
         },
-        |generator, ctx, i_addr| {
+        |generator, ctx, hooks, i_addr| {
             let i = ctx.builder.build_load(i_addr, "").map(BasicValueEnum::into_int_value).unwrap();
 
-            body(generator, ctx, i)
+            body(generator, ctx, hooks, i)
         },
         |_, ctx, i_addr| {
             let i = ctx.builder.build_load(i_addr, "").map(BasicValueEnum::into_int_value).unwrap();
@@ -620,9 +780,11 @@ where
 /// - `step_fn`: A lambda of IR statements that retrieves the `step` value of the  `range`-like
 /// iterable. This value will be extended to the size of `start`.
 /// - `body_fn`: A lambda of IR statements within the loop body.
+#[allow(clippy::too_many_arguments)]
 pub fn gen_for_range_callback<'ctx, 'a, G, StartFn, StopFn, StepFn, BodyFn>(
     generator: &mut G,
     ctx: &mut CodeGenContext<'ctx, 'a>,
+    label: Option<&str>,
     is_unsigned: bool,
     start_fn: StartFn,
     (stop_fn, stop_inclusive): (StopFn, bool),
@@ -634,13 +796,19 @@ where
     StartFn: Fn(&mut G, &mut CodeGenContext<'ctx, 'a>) -> Result<IntValue<'ctx>, String>,
     StopFn: Fn(&mut G, &mut CodeGenContext<'ctx, 'a>) -> Result<IntValue<'ctx>, String>,
     StepFn: Fn(&mut G, &mut CodeGenContext<'ctx, 'a>) -> Result<IntValue<'ctx>, String>,
-    BodyFn: FnOnce(&mut G, &mut CodeGenContext<'ctx, 'a>, IntValue<'ctx>) -> Result<(), String>,
+    BodyFn: FnOnce(
+        &mut G,
+        &mut CodeGenContext<'ctx, 'a>,
+        BreakContinueHooks,
+        IntValue<'ctx>,
+    ) -> Result<(), String>,
 {
     let init_val_t = start_fn(generator, ctx).map(IntValue::get_type).unwrap();
 
     gen_for_callback(
         generator,
         ctx,
+        label,
         |generator, ctx| {
             let i_addr = generator.gen_var_alloc(ctx, init_val_t.into(), None)?;
 
@@ -698,10 +866,10 @@ where
 
             Ok(cond)
         },
-        |generator, ctx, (i_addr, _)| {
+        |generator, ctx, hooks, (i_addr, _)| {
             let i = ctx.builder.build_load(i_addr, "").map(BasicValueEnum::into_int_value).unwrap();
 
-            body_fn(generator, ctx, i)
+            body_fn(generator, ctx, hooks, i)
         },
         |generator, ctx, (i_addr, _)| {
             let i = ctx.builder.build_load(i_addr, "").map(BasicValueEnum::into_int_value).unwrap();
@@ -1553,14 +1721,14 @@ pub fn gen_stmt<G: CodeGenerator>(
         }
         StmtKind::AnnAssign { target, value, .. } => {
             if let Some(value) = value {
-                let Some(value) = generator.gen_expr(ctx, value)? else { return Ok(()) };
+                let Some(value_enum) = generator.gen_expr(ctx, value)? else { return Ok(()) };
-                generator.gen_assign(ctx, target, value)?;
+                generator.gen_assign(ctx, target, value_enum, value.custom.unwrap())?;
             }
         }
         StmtKind::Assign { targets, value, .. } => {
-            let Some(value) = generator.gen_expr(ctx, value)? else { return Ok(()) };
+            let Some(value_enum) = generator.gen_expr(ctx, value)? else { return Ok(()) };
             for target in targets {
-                generator.gen_assign(ctx, target, value.clone())?;
+                generator.gen_assign(ctx, target, value_enum.clone(), value.custom.unwrap())?;
             }
         }
         StmtKind::Continue { .. } => {
@@ -1574,8 +1742,16 @@ pub fn gen_stmt<G: CodeGenerator>(
         StmtKind::For { .. } => generator.gen_for(ctx, stmt)?,
         StmtKind::With { .. } => generator.gen_with(ctx, stmt)?,
         StmtKind::AugAssign { target, op, value, .. } => {
-            let value = gen_binop_expr(generator, ctx, target, *op, value, stmt.location, true)?;
+            let value_enum = gen_binop_expr(
-            generator.gen_assign(ctx, target, value.unwrap())?;
+                generator,
+                ctx,
+                target,
+                Binop::aug_assign(*op),
+                value,
+                stmt.location,
+            )?
+            .unwrap();
+            generator.gen_assign(ctx, target, value_enum, value.custom.unwrap())?;
         }
         StmtKind::Try { .. } => gen_try(generator, ctx, stmt)?,
         StmtKind::Raise { exc, .. } => {
@@ -1608,7 +1784,7 @@ pub fn gen_stmt<G: CodeGenerator>(
             };
             ctx.make_assert_impl(
                 generator,
-                test.into_int_value(),
+                generator.bool_to_i1(ctx, test.into_int_value()),
                 "0:AssertionError",
                 err_msg,
                 [None, None, None],

nac3core/src/codegen/test.rs

@@ -109,8 +109,18 @@ fn test_primitives() {
     let threads = vec![DefaultCodeGenerator::new("test".into(), 32).into()];
     let signature = FunSignature {
         args: vec![
-            FuncArg { name: "a".into(), ty: primitives.int32, default_value: None },
+            FuncArg {
-            FuncArg { name: "b".into(), ty: primitives.int32, default_value: None },
+                name: "a".into(),
+                ty: primitives.int32,
+                default_value: None,
+                is_vararg: false,
+            },
+            FuncArg {
+                name: "b".into(),
+                ty: primitives.int32,
+                default_value: None,
+                is_vararg: false,
+            },
         ],
         ret: primitives.int32,
         vars: VarMap::new(),
@@ -189,6 +199,8 @@ fn test_primitives() {
         let expected = indoc! {"
             ; ModuleID = 'test'
             source_filename = \"test\"
+            target datalayout = \"e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-f80:128-n8:16:32:64-S128\"
+            target triple = \"x86_64-unknown-linux-gnu\"
 
             ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
             define i32 @testing(i32 %0, i32 %1) local_unnamed_addr #0 !dbg !4 {
@@ -253,7 +265,12 @@ fn test_simple_call() {
     unifier.top_level = Some(top_level.clone());
 
     let signature = FunSignature {
-        args: vec![FuncArg { name: "a".into(), ty: primitives.int32, default_value: None }],
+        args: vec![FuncArg {
+            name: "a".into(),
+            ty: primitives.int32,
+            default_value: None,
+            is_vararg: false,
+        }],
         ret: primitives.int32,
         vars: VarMap::new(),
     };
@@ -368,6 +385,8 @@ fn test_simple_call() {
         let expected = indoc! {"
             ; ModuleID = 'test'
             source_filename = \"test\"
+            target datalayout = \"e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-f80:128-n8:16:32:64-S128\"
+            target triple = \"x86_64-unknown-linux-gnu\"
 
             ; Function Attrs: mustprogress nofree norecurse nosync nounwind readnone willreturn
             define i32 @testing(i32 %0) local_unnamed_addr #0 !dbg !5 {

nac3core/src/symbol_resolver.rs

@@ -78,14 +78,14 @@ impl SymbolValue {
             }
             Constant::Tuple(t) => {
                 let expected_ty = unifier.get_ty(expected_ty);
-                let TypeEnum::TTuple { ty } = expected_ty.as_ref() else {
+                let TypeEnum::TTuple { ty, is_vararg_ctx } = expected_ty.as_ref() else {
                     return Err(format!(
                         "Expected {:?}, but got Tuple",
                         expected_ty.get_type_name()
                     ));
                 };
 
-                assert_eq!(ty.len(), t.len());
+                assert!(*is_vararg_ctx || ty.len() == t.len());
 
                 let elems = t
                     .iter()
@@ -155,7 +155,7 @@ impl SymbolValue {
             SymbolValue::Bool(_) => primitives.bool,
             SymbolValue::Tuple(vs) => {
                 let vs_tys = vs.iter().map(|v| v.get_type(primitives, unifier)).collect::<Vec<_>>();
-                unifier.add_ty(TypeEnum::TTuple { ty: vs_tys })
+                unifier.add_ty(TypeEnum::TTuple { ty: vs_tys, is_vararg_ctx: false })
             }
             SymbolValue::OptionSome(_) | SymbolValue::OptionNone => primitives.option,
         }
@@ -382,13 +382,12 @@ pub trait SymbolResolver {
 }
 
 thread_local! {
-    static IDENTIFIER_ID: [StrRef; 12] = [
+    static IDENTIFIER_ID: [StrRef; 11] = [
         "int32".into(),
         "int64".into(),
         "float".into(),
         "bool".into(),
         "virtual".into(),
-        "list".into(),
         "tuple".into(),
         "str".into(),
         "Exception".into(),
@@ -413,13 +412,12 @@ pub fn parse_type_annotation<T>(
     let float_id = ids[2];
     let bool_id = ids[3];
     let virtual_id = ids[4];
-    let list_id = ids[5];
+    let tuple_id = ids[5];
-    let tuple_id = ids[6];
+    let str_id = ids[6];
-    let str_id = ids[7];
+    let exn_id = ids[7];
-    let exn_id = ids[8];
+    let uint32_id = ids[8];
-    let uint32_id = ids[9];
+    let uint64_id = ids[9];
-    let uint64_id = ids[10];
+    let literal_id = ids[10];
-    let literal_id = ids[11];
 
     let name_handling = |id: &StrRef, loc: Location, unifier: &mut Unifier| {
         if *id == int32_id {
@@ -476,9 +474,6 @@ pub fn parse_type_annotation<T>(
         if *id == virtual_id {
             let ty = parse_type_annotation(resolver, top_level_defs, unifier, primitives, slice)?;
             Ok(unifier.add_ty(TypeEnum::TVirtual { ty }))
-        } else if *id == list_id {
-            let ty = parse_type_annotation(resolver, top_level_defs, unifier, primitives, slice)?;
-            Ok(unifier.add_ty(TypeEnum::TList { ty }))
         } else if *id == tuple_id {
             if let Tuple { elts, .. } = &slice.node {
                 let ty = elts
@@ -487,7 +482,7 @@ pub fn parse_type_annotation<T>(
                         parse_type_annotation(resolver, top_level_defs, unifier, primitives, elt)
                     })
                     .collect::<Result<Vec<_>, _>>()?;
-                Ok(unifier.add_ty(TypeEnum::TTuple { ty }))
+                Ok(unifier.add_ty(TypeEnum::TTuple { ty, is_vararg_ctx: false }))
             } else {
                 Err(HashSet::from(["Expected multiple elements for tuple".into()]))
             }

nac3core/src/toplevel/composer.rs

@@ -766,6 +766,7 @@ impl TopLevelComposer {
             let target_ty = get_type_from_type_annotation_kinds(
                 &temp_def_list,
                 unifier,
+                primitives,
                 &def,
                 &mut subst_list,
             )?;
@@ -859,7 +860,73 @@ impl TopLevelComposer {
             let resolver = &**resolver;
 
             let mut function_var_map = VarMap::new();
-            let arg_types = {
+
+            let vararg = args
+                .vararg
+                .as_ref()
+                .map(|vararg| -> Result<_, HashSet<String>> {
+                    let vararg = vararg.as_ref();
+
+                    let annotation = vararg
+                        .node
+                        .annotation
+                        .as_ref()
+                        .ok_or_else(|| {
+                            HashSet::from([format!(
+                                "function parameter `{}` needs type annotation at {}",
+                                vararg.node.arg, vararg.location
+                            )])
+                        })?
+                        .as_ref();
+
+                    let type_annotation = parse_ast_to_type_annotation_kinds(
+                        resolver,
+                        temp_def_list.as_slice(),
+                        unifier,
+                        primitives_store,
+                        annotation,
+                        // NOTE: since only class need this, for function
+                        // it should be fine to be empty map
+                        HashMap::new(),
+                    )?;
+
+                    let type_vars_within =
+                        get_type_var_contained_in_type_annotation(&type_annotation)
+                            .into_iter()
+                            .map(|x| -> Result<TypeVar, HashSet<String>> {
+                                let TypeAnnotation::TypeVar(ty) = x else {
+                                    unreachable!("must be type var annotation kind")
+                                };
+
+                                let id = Self::get_var_id(ty, unifier)?;
+                                Ok(TypeVar { id, ty })
+                            })
+                            .collect::<Result<Vec<_>, _>>()?;
+                    for var in type_vars_within {
+                        if let Some(prev_ty) = function_var_map.insert(var.id, var.ty) {
+                            // if already have the type inserted, make sure they are the same thing
+                            assert_eq!(prev_ty, var.ty);
+                        }
+                    }
+
+                    let ty = get_type_from_type_annotation_kinds(
+                        temp_def_list.as_ref(),
+                        unifier,
+                        primitives_store,
+                        &type_annotation,
+                        &mut None,
+                    )?;
+
+                    Ok(FuncArg {
+                        name: vararg.node.arg,
+                        ty,
+                        default_value: Some(SymbolValue::Tuple(Vec::default())),
+                        is_vararg: true,
+                    })
+                })
+                .transpose()?;
+
+            let mut arg_types = {
                 // make sure no duplicate parameter
                 let mut defined_parameter_name: HashSet<_> = HashSet::new();
                 for x in &args.args {
@@ -936,6 +1003,7 @@ impl TopLevelComposer {
                         let ty = get_type_from_type_annotation_kinds(
                             temp_def_list.as_ref(),
                             unifier,
+                            primitives_store,
                             &type_annotation,
                             &mut None,
                         )?;
@@ -959,11 +1027,18 @@ impl TopLevelComposer {
                                     v
                                 }),
                             },
+                            is_vararg: false,
                         })
                     })
                     .collect::<Result<Vec<_>, _>>()?
             };
 
+            if let Some(vararg) = vararg {
+                arg_types.push(vararg);
+            };
+
+            let arg_types = arg_types;
+
             let return_ty = {
                 if let Some(returns) = returns {
                     let return_ty_annotation = {
@@ -1002,6 +1077,7 @@ impl TopLevelComposer {
                     get_type_from_type_annotation_kinds(
                         &temp_def_list,
                         unifier,
+                        primitives_store,
                         &return_ty_annotation,
                         &mut None,
                     )?
@@ -1214,6 +1290,7 @@ impl TopLevelComposer {
                                             })
                                         }
                                     },
+                                    is_vararg: false,
                                 };
                                 // push the dummy type and the type annotation
                                 // into the list for later unification
@@ -1622,6 +1699,7 @@ impl TopLevelComposer {
                 let self_type = get_type_from_type_annotation_kinds(
                     &def_list,
                     unifier,
+                    primitives_ty,
                     &make_self_type_annotation(type_vars, *object_id),
                     &mut None,
                 )?;
@@ -1638,21 +1716,25 @@ impl TopLevelComposer {
                                 name: "msg".into(),
                                 ty: string,
                                 default_value: Some(SymbolValue::Str(String::new())),
+                                is_vararg: false,
                             },
                             FuncArg {
                                 name: "param0".into(),
                                 ty: int64,
                                 default_value: Some(SymbolValue::I64(0)),
+                                is_vararg: false,
                             },
                             FuncArg {
                                 name: "param1".into(),
                                 ty: int64,
                                 default_value: Some(SymbolValue::I64(0)),
+                                is_vararg: false,
                             },
                             FuncArg {
                                 name: "param2".into(),
                                 ty: int64,
                                 default_value: Some(SymbolValue::I64(0)),
+                                is_vararg: false,
                             },
                         ],
                         ret: self_type,
@@ -1803,7 +1885,11 @@ impl TopLevelComposer {
 
                         let ty_ann = make_self_type_annotation(type_vars, *class_id);
                         let self_ty = get_type_from_type_annotation_kinds(
-                            &def_list, unifier, &ty_ann, &mut None,
+                            &def_list,
+                            unifier,
+                            primitives_ty,
+                            &ty_ann,
+                            &mut None,
                         )?;
                         vars.extend(type_vars.iter().map(|ty| {
                             let TypeEnum::TVar { id, .. } = &*unifier.get_ty(*ty) else {
@@ -1858,6 +1944,7 @@ impl TopLevelComposer {
                                 name: a.name,
                                 ty: unifier.subst(a.ty, &subst).unwrap_or(a.ty),
                                 default_value: a.default_value.clone(),
+                                is_vararg: false,
                             })
                             .collect_vec()
                     };

nac3core/src/toplevel/helper.rs

@@ -2,7 +2,7 @@ use std::convert::TryInto;
 
 use crate::symbol_resolver::SymbolValue;
 use crate::toplevel::numpy::unpack_ndarray_var_tys;
-use crate::typecheck::typedef::{into_var_map, Mapping, TypeVarId, VarMap};
+use crate::typecheck::typedef::{into_var_map, iter_type_vars, Mapping, TypeVarId, VarMap};
 use nac3parser::ast::{Constant, Location};
 use strum::IntoEnumIterator;
 use strum_macros::EnumIter;
@@ -12,6 +12,7 @@ use super::*;
 /// All primitive types and functions in nac3core.
 #[derive(Clone, Copy, Debug, EnumIter, PartialEq, Eq)]
 pub enum PrimDef {
+    // Classes
     Int32,
     Int64,
     Float,
@@ -23,17 +24,25 @@ pub enum PrimDef {
     UInt32,
     UInt64,
     Option,
-    OptionIsSome,
+    List,
-    OptionIsNone,
-    OptionUnwrap,
     NDArray,
-    NDArrayCopy,
+
-    NDArrayFill,
+    // Option methods
-    FunInt32,
+    FunOptionIsSome,
-    FunInt64,
+    FunOptionIsNone,
-    FunUInt32,
+    FunOptionUnwrap,
-    FunUInt64,
+
-    FunFloat,
+    // Option-related functions
+    FunSome,
+
+    // NDArray methods
+    FunNDArrayCopy,
+    FunNDArrayFill,
+
+    // Range methods
+    FunRangeInit,
+
+    // NumPy factory functions
     FunNpNDArray,
     FunNpEmpty,
     FunNpZeros,
@@ -42,26 +51,17 @@ pub enum PrimDef {
     FunNpArray,
     FunNpEye,
     FunNpIdentity,
-    FunRound,
+
-    FunRound64,
+    // Miscellaneous NumPy & SciPy functions
     FunNpRound,
-    FunRange,
-    FunStr,
-    FunBool,
-    FunFloor,
-    FunFloor64,
     FunNpFloor,
-    FunCeil,
-    FunCeil64,
     FunNpCeil,
-    FunLen,
-    FunMin,
     FunNpMin,
     FunNpMinimum,
-    FunMax,
+    FunNpArgmin,
     FunNpMax,
     FunNpMaximum,
-    FunAbs,
+    FunNpArgmax,
     FunNpIsNan,
     FunNpIsInf,
     FunNpSin,
@@ -99,13 +99,46 @@ pub enum PrimDef {
     FunNpLdExp,
     FunNpHypot,
     FunNpNextAfter,
-    FunSome,
+    FunNpTranspose,
+    FunNpReshape,
+
+    // Linalg functions
+    FunNpDot,
+    FunNpLinalgCholesky,
+    FunNpLinalgQr,
+    FunNpLinalgSvd,
+    FunNpLinalgInv,
+    FunNpLinalgPinv,
+    FunNpLinalgMatrixPower,
+    FunNpLinalgDet,
+    FunSpLinalgLu,
+    FunSpLinalgSchur,
+    FunSpLinalgHessenberg,
+
+    // Miscellaneous Python & NAC3 functions
+    FunInt32,
+    FunInt64,
+    FunUInt32,
+    FunUInt64,
+    FunFloat,
+    FunRound,
+    FunRound64,
+    FunStr,
+    FunBool,
+    FunFloor,
+    FunFloor64,
+    FunCeil,
+    FunCeil64,
+    FunLen,
+    FunMin,
+    FunMax,
+    FunAbs,
 }
 
 /// Associated details of a [`PrimDef`]
 pub enum PrimDefDetails {
     PrimFunction { name: &'static str, simple_name: &'static str },
-    PrimClass { name: &'static str },
+    PrimClass { name: &'static str, get_ty_fn: fn(&PrimitiveStore) -> Type },
 }
 
 impl PrimDef {
@@ -147,15 +180,17 @@ impl PrimDef {
     #[must_use]
     pub fn name(&self) -> &'static str {
         match self.details() {
-            PrimDefDetails::PrimFunction { name, .. } | PrimDefDetails::PrimClass { name } => name,
+            PrimDefDetails::PrimFunction { name, .. } | PrimDefDetails::PrimClass { name, .. } => {
+                name
+            }
         }
     }
 
     /// Get the associated details of this [`PrimDef`]
     #[must_use]
     pub fn details(self) -> PrimDefDetails {
-        fn class(name: &'static str) -> PrimDefDetails {
+        fn class(name: &'static str, get_ty_fn: fn(&PrimitiveStore) -> Type) -> PrimDefDetails {
-            PrimDefDetails::PrimClass { name }
+            PrimDefDetails::PrimClass { name, get_ty_fn }
         }
 
         fn fun(name: &'static str, simple_name: Option<&'static str>) -> PrimDefDetails {
@@ -163,28 +198,37 @@ impl PrimDef {
         }
 
         match self {
-            PrimDef::Int32 => class("int32"),
+            // Classes
-            PrimDef::Int64 => class("int64"),
+            PrimDef::Int32 => class("int32", |primitives| primitives.int32),
-            PrimDef::Float => class("float"),
+            PrimDef::Int64 => class("int64", |primitives| primitives.int64),
-            PrimDef::Bool => class("bool"),
+            PrimDef::Float => class("float", |primitives| primitives.float),
-            PrimDef::None => class("none"),
+            PrimDef::Bool => class("bool", |primitives| primitives.bool),
-            PrimDef::Range => class("range"),
+            PrimDef::None => class("none", |primitives| primitives.none),
-            PrimDef::Str => class("str"),
+            PrimDef::Range => class("range", |primitives| primitives.range),
-            PrimDef::Exception => class("Exception"),
+            PrimDef::Str => class("str", |primitives| primitives.str),
-            PrimDef::UInt32 => class("uint32"),
+            PrimDef::Exception => class("Exception", |primitives| primitives.exception),
-            PrimDef::UInt64 => class("uint64"),
+            PrimDef::UInt32 => class("uint32", |primitives| primitives.uint32),
-            PrimDef::Option => class("Option"),
+            PrimDef::UInt64 => class("uint64", |primitives| primitives.uint64),
-            PrimDef::OptionIsSome => fun("Option.is_some", Some("is_some")),
+            PrimDef::Option => class("Option", |primitives| primitives.option),
-            PrimDef::OptionIsNone => fun("Option.is_none", Some("is_none")),
+            PrimDef::List => class("list", |primitives| primitives.list),
-            PrimDef::OptionUnwrap => fun("Option.unwrap", Some("unwrap")),
+            PrimDef::NDArray => class("ndarray", |primitives| primitives.ndarray),
-            PrimDef::NDArray => class("ndarray"),
+
-            PrimDef::NDArrayCopy => fun("ndarray.copy", Some("copy")),
+            // Option methods
-            PrimDef::NDArrayFill => fun("ndarray.fill", Some("fill")),
+            PrimDef::FunOptionIsSome => fun("Option.is_some", Some("is_some")),
-            PrimDef::FunInt32 => fun("int32", None),
+            PrimDef::FunOptionIsNone => fun("Option.is_none", Some("is_none")),
-            PrimDef::FunInt64 => fun("int64", None),
+            PrimDef::FunOptionUnwrap => fun("Option.unwrap", Some("unwrap")),
-            PrimDef::FunUInt32 => fun("uint32", None),
+
-            PrimDef::FunUInt64 => fun("uint64", None),
+            // Option-related functions
-            PrimDef::FunFloat => fun("float", None),
+            PrimDef::FunSome => fun("Some", None),
+
+            // NDArray methods
+            PrimDef::FunNDArrayCopy => fun("ndarray.copy", Some("copy")),
+            PrimDef::FunNDArrayFill => fun("ndarray.fill", Some("fill")),
+
+            // Range methods
+            PrimDef::FunRangeInit => fun("range.__init__", Some("__init__")),
+
+            // NumPy factory functions
             PrimDef::FunNpNDArray => fun("np_ndarray", None),
             PrimDef::FunNpEmpty => fun("np_empty", None),
             PrimDef::FunNpZeros => fun("np_zeros", None),
@@ -193,26 +237,17 @@ impl PrimDef {
             PrimDef::FunNpArray => fun("np_array", None),
             PrimDef::FunNpEye => fun("np_eye", None),
             PrimDef::FunNpIdentity => fun("np_identity", None),
-            PrimDef::FunRound => fun("round", None),
+
-            PrimDef::FunRound64 => fun("round64", None),
+            // Miscellaneous NumPy & SciPy functions
             PrimDef::FunNpRound => fun("np_round", None),
-            PrimDef::FunRange => fun("range", None),
-            PrimDef::FunStr => fun("str", None),
-            PrimDef::FunBool => fun("bool", None),
-            PrimDef::FunFloor => fun("floor", None),
-            PrimDef::FunFloor64 => fun("floor64", None),
             PrimDef::FunNpFloor => fun("np_floor", None),
-            PrimDef::FunCeil => fun("ceil", None),
-            PrimDef::FunCeil64 => fun("ceil64", None),
             PrimDef::FunNpCeil => fun("np_ceil", None),
-            PrimDef::FunLen => fun("len", None),
-            PrimDef::FunMin => fun("min", None),
             PrimDef::FunNpMin => fun("np_min", None),
             PrimDef::FunNpMinimum => fun("np_minimum", None),
-            PrimDef::FunMax => fun("max", None),
+            PrimDef::FunNpArgmin => fun("np_argmin", None),
             PrimDef::FunNpMax => fun("np_max", None),
             PrimDef::FunNpMaximum => fun("np_maximum", None),
-            PrimDef::FunAbs => fun("abs", None),
+            PrimDef::FunNpArgmax => fun("np_argmax", None),
             PrimDef::FunNpIsNan => fun("np_isnan", None),
             PrimDef::FunNpIsInf => fun("np_isinf", None),
             PrimDef::FunNpSin => fun("np_sin", None),
@@ -250,7 +285,40 @@ impl PrimDef {
             PrimDef::FunNpLdExp => fun("np_ldexp", None),
             PrimDef::FunNpHypot => fun("np_hypot", None),
             PrimDef::FunNpNextAfter => fun("np_nextafter", None),
-            PrimDef::FunSome => fun("Some", None),
+            PrimDef::FunNpTranspose => fun("np_transpose", None),
+            PrimDef::FunNpReshape => fun("np_reshape", None),
+
+            // Linalg functions
+            PrimDef::FunNpDot => fun("np_dot", None),
+            PrimDef::FunNpLinalgCholesky => fun("np_linalg_cholesky", None),
+            PrimDef::FunNpLinalgQr => fun("np_linalg_qr", None),
+            PrimDef::FunNpLinalgSvd => fun("np_linalg_svd", None),
+            PrimDef::FunNpLinalgInv => fun("np_linalg_inv", None),
+            PrimDef::FunNpLinalgPinv => fun("np_linalg_pinv", None),
+            PrimDef::FunNpLinalgMatrixPower => fun("np_linalg_matrix_power", None),
+            PrimDef::FunNpLinalgDet => fun("np_linalg_det", None),
+            PrimDef::FunSpLinalgLu => fun("sp_linalg_lu", None),
+            PrimDef::FunSpLinalgSchur => fun("sp_linalg_schur", None),
+            PrimDef::FunSpLinalgHessenberg => fun("sp_linalg_hessenberg", None),
+
+            // Miscellaneous Python & NAC3 functions
+            PrimDef::FunInt32 => fun("int32", None),
+            PrimDef::FunInt64 => fun("int64", None),
+            PrimDef::FunUInt32 => fun("uint32", None),
+            PrimDef::FunUInt64 => fun("uint64", None),
+            PrimDef::FunFloat => fun("float", None),
+            PrimDef::FunRound => fun("round", None),
+            PrimDef::FunRound64 => fun("round64", None),
+            PrimDef::FunStr => fun("str", None),
+            PrimDef::FunBool => fun("bool", None),
+            PrimDef::FunFloor => fun("floor", None),
+            PrimDef::FunFloor64 => fun("floor64", None),
+            PrimDef::FunCeil => fun("ceil", None),
+            PrimDef::FunCeil64 => fun("ceil64", None),
+            PrimDef::FunLen => fun("len", None),
+            PrimDef::FunMin => fun("min", None),
+            PrimDef::FunMax => fun("max", None),
+            PrimDef::FunAbs => fun("abs", None),
         }
     }
 }
@@ -354,7 +422,13 @@ impl TopLevelComposer {
         });
         let range = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::Range.id(),
-            fields: HashMap::new(),
+            fields: [
+                ("start".into(), (int32, true)),
+                ("stop".into(), (int32, true)),
+                ("step".into(), (int32, true)),
+            ]
+            .into_iter()
+            .collect(),
             params: VarMap::new(),
         });
         let str = unifier.add_ty(TypeEnum::TObj {
@@ -395,9 +469,9 @@ impl TopLevelComposer {
         let option = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::Option.id(),
             fields: vec![
-                (PrimDef::OptionIsSome.simple_name().into(), (is_some_type_fun_ty, true)),
+                (PrimDef::FunOptionIsSome.simple_name().into(), (is_some_type_fun_ty, true)),
-                (PrimDef::OptionIsNone.simple_name().into(), (is_some_type_fun_ty, true)),
+                (PrimDef::FunOptionIsNone.simple_name().into(), (is_some_type_fun_ty, true)),
-                (PrimDef::OptionUnwrap.simple_name().into(), (unwrap_fun_ty, true)),
+                (PrimDef::FunOptionUnwrap.simple_name().into(), (unwrap_fun_ty, true)),
             ]
             .into_iter()
             .collect::<HashMap<_, _>>(),
@@ -410,6 +484,13 @@ impl TopLevelComposer {
             _ => unreachable!(),
         };
 
+        let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+        let list = unifier.add_ty(TypeEnum::TObj {
+            obj_id: PrimDef::List.id(),
+            fields: Mapping::new(),
+            params: into_var_map([list_elem_tvar]),
+        });
+
         let ndarray_dtype_tvar = unifier.get_fresh_var(Some("ndarray_dtype".into()), None);
         let ndarray_ndims_tvar =
             unifier.get_fresh_const_generic_var(size_t_ty, Some("ndarray_ndims".into()), None);
@@ -424,6 +505,7 @@ impl TopLevelComposer {
                 name: "value".into(),
                 ty: ndarray_dtype_tvar.ty,
                 default_value: None,
+                is_vararg: false,
             }],
             ret: none,
             vars: into_var_map([ndarray_dtype_tvar, ndarray_ndims_tvar]),
@@ -431,8 +513,8 @@ impl TopLevelComposer {
         let ndarray = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::NDArray.id(),
             fields: Mapping::from([
-                (PrimDef::NDArrayCopy.simple_name().into(), (ndarray_copy_fun_ty, true)),
+                (PrimDef::FunNDArrayCopy.simple_name().into(), (ndarray_copy_fun_ty, true)),
-                (PrimDef::NDArrayFill.simple_name().into(), (ndarray_fill_fun_ty, true)),
+                (PrimDef::FunNDArrayFill.simple_name().into(), (ndarray_fill_fun_ty, true)),
             ]),
             params: into_var_map([ndarray_dtype_tvar, ndarray_ndims_tvar]),
         });
@@ -451,6 +533,7 @@ impl TopLevelComposer {
             str,
             exception,
             option,
+            list,
             ndarray,
             size_t,
         };
@@ -888,7 +971,9 @@ pub fn arraylike_flatten_element_type(unifier: &mut Unifier, ty: Type) -> Type {
             unpack_ndarray_var_tys(unifier, ty).0
         }
 
-        TypeEnum::TList { ty } => arraylike_flatten_element_type(unifier, *ty),
+        TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+            arraylike_flatten_element_type(unifier, iter_type_vars(params).next().unwrap().ty)
+        }
         _ => ty,
     }
 }
@@ -909,7 +994,9 @@ pub fn arraylike_get_ndims(unifier: &mut Unifier, ty: Type) -> u64 {
             u64::try_from(values[0].clone()).unwrap()
         }
 
-        TypeEnum::TList { ty } => arraylike_get_ndims(unifier, *ty) + 1,
+        TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
+            arraylike_get_ndims(unifier, iter_type_vars(params).next().unwrap().ty) + 1
+        }
         _ => 0,
     }
 }

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__generic_class.snap

@@ -5,7 +5,7 @@ expression: res_vec
 [
     "Class {\nname: \"Generic_A\",\nancestors: [\"Generic_A[V]\", \"B\"],\nfields: [\"aa\", \"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"foo\", \"fn[[b:T], none]\"), (\"fun\", \"fn[[a:int32], V]\")],\ntype_vars: [\"V\"]\n}\n",
     "Function {\nname: \"Generic_A.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
-    "Function {\nname: \"Generic_A.fun\",\nsig: \"fn[[a:int32], V]\",\nvar_id: [TypeVarId(240)]\n}\n",
+    "Function {\nname: \"Generic_A.fun\",\nsig: \"fn[[a:int32], V]\",\nvar_id: [TypeVarId(246)]\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\"],\nfields: [\"aa\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"foo\", \"fn[[b:T], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"B.foo\",\nsig: \"fn[[b:T], none]\",\nvar_id: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__inheritance_override.snap

@@ -7,7 +7,7 @@ expression: res_vec
     "Function {\nname: \"A.__init__\",\nsig: \"fn[[t:T], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.fun\",\nsig: \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.foo\",\nsig: \"fn[[c:C], none]\",\nvar_id: []\n}\n",
-    "Class {\nname: \"B\",\nancestors: [\"B[typevar229]\", \"A[float]\"],\nfields: [\"a\", \"b\", \"c\", \"d\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\"), (\"foo\", \"fn[[c:C], none]\")],\ntype_vars: [\"typevar229\"]\n}\n",
+    "Class {\nname: \"B\",\nancestors: [\"B[typevar235]\", \"A[float]\"],\nfields: [\"a\", \"b\", \"c\", \"d\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\"), (\"foo\", \"fn[[c:C], none]\")],\ntype_vars: [\"typevar235\"]\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"B.fun\",\nsig: \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\",\nvar_id: []\n}\n",
     "Class {\nname: \"C\",\nancestors: [\"C\", \"B[bool]\", \"A[float]\"],\nfields: [\"a\", \"b\", \"c\", \"d\", \"e\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:int32, b:T], list[virtual[B[bool]]]]\"), (\"foo\", \"fn[[c:C], none]\")],\ntype_vars: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__list_tuple_generic.snap

@@ -5,8 +5,8 @@ expression: res_vec
 [
     "Function {\nname: \"foo\",\nsig: \"fn[[a:list[int32], b:tuple[T, float]], A[B, bool]]\",\nvar_id: []\n}\n",
     "Class {\nname: \"A\",\nancestors: [\"A[T, V]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[v:V], none]\"), (\"fun\", \"fn[[a:T], V]\")],\ntype_vars: [\"T\", \"V\"]\n}\n",
-    "Function {\nname: \"A.__init__\",\nsig: \"fn[[v:V], none]\",\nvar_id: [TypeVarId(242)]\n}\n",
+    "Function {\nname: \"A.__init__\",\nsig: \"fn[[v:V], none]\",\nvar_id: [TypeVarId(248)]\n}\n",
-    "Function {\nname: \"A.fun\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(247)]\n}\n",
+    "Function {\nname: \"A.fun\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(253)]\n}\n",
     "Function {\nname: \"gfun\",\nsig: \"fn[[a:A[list[float], int32]], none]\",\nvar_id: []\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\"],\nfields: [],\nmethods: [(\"__init__\", \"fn[[], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__self1.snap

@@ -3,7 +3,7 @@ source: nac3core/src/toplevel/test.rs
 expression: res_vec
 ---
 [
-    "Class {\nname: \"A\",\nancestors: [\"A[typevar228, typevar229]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[a:A[float, bool], b:B], none]\"), (\"fun\", \"fn[[a:A[float, bool]], A[bool, int32]]\")],\ntype_vars: [\"typevar228\", \"typevar229\"]\n}\n",
+    "Class {\nname: \"A\",\nancestors: [\"A[typevar234, typevar235]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[a:A[float, bool], b:B], none]\"), (\"fun\", \"fn[[a:A[float, bool]], A[bool, int32]]\")],\ntype_vars: [\"typevar234\", \"typevar235\"]\n}\n",
     "Function {\nname: \"A.__init__\",\nsig: \"fn[[a:A[float, bool], b:B], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.fun\",\nsig: \"fn[[a:A[float, bool]], A[bool, int32]]\",\nvar_id: []\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\", \"A[int64, bool]\"],\nfields: [\"a\", \"b\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[a:A[float, bool]], A[bool, int32]]\"), (\"foo\", \"fn[[b:B], B]\"), (\"bar\", \"fn[[a:A[list[B], int32]], tuple[A[virtual[A[B, int32]], bool], B]]\")],\ntype_vars: []\n}\n",

nac3core/src/toplevel/snapshots/nac3core__toplevel__test__test_analyze__simple_class_compose.snap

@@ -6,12 +6,12 @@ expression: res_vec
     "Class {\nname: \"A\",\nancestors: [\"A\"],\nfields: [\"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[b:B], none]\"), (\"foo\", \"fn[[a:T, b:V], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"A.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"A.fun\",\nsig: \"fn[[b:B], none]\",\nvar_id: []\n}\n",
-    "Function {\nname: \"A.foo\",\nsig: \"fn[[a:T, b:V], none]\",\nvar_id: [TypeVarId(248)]\n}\n",
+    "Function {\nname: \"A.foo\",\nsig: \"fn[[a:T, b:V], none]\",\nvar_id: [TypeVarId(254)]\n}\n",
     "Class {\nname: \"B\",\nancestors: [\"B\", \"C\", \"A\"],\nfields: [\"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[b:B], none]\"), (\"foo\", \"fn[[a:T, b:V], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"B.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Class {\nname: \"C\",\nancestors: [\"C\", \"A\"],\nfields: [\"a\"],\nmethods: [(\"__init__\", \"fn[[], none]\"), (\"fun\", \"fn[[b:B], none]\"), (\"foo\", \"fn[[a:T, b:V], none]\")],\ntype_vars: []\n}\n",
     "Function {\nname: \"C.__init__\",\nsig: \"fn[[], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"C.fun\",\nsig: \"fn[[b:B], none]\",\nvar_id: []\n}\n",
     "Function {\nname: \"foo\",\nsig: \"fn[[a:A], none]\",\nvar_id: []\n}\n",
-    "Function {\nname: \"ff\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(256)]\n}\n",
+    "Function {\nname: \"ff\",\nsig: \"fn[[a:T], V]\",\nvar_id: [TypeVarId(262)]\n}\n",
 ]

nac3core/src/toplevel/test.rs

@@ -1,3 +1,6 @@
+use super::*;
+use crate::toplevel::helper::PrimDef;
+use crate::typecheck::typedef::into_var_map;
 use crate::{
     codegen::CodeGenContext,
     symbol_resolver::{SymbolResolver, ValueEnum},
@@ -14,8 +17,6 @@ use parking_lot::Mutex;
 use std::{collections::HashMap, sync::Arc};
 use test_case::test_case;
 
-use super::*;
-
 struct ResolverInternal {
     id_to_type: Mutex<HashMap<StrRef, Type>>,
     id_to_def: Mutex<HashMap<StrRef, DefinitionId>>,
@@ -775,8 +776,15 @@ fn make_internal_resolver_with_tvar(
     unifier: &mut Unifier,
     print: bool,
 ) -> Arc<ResolverInternal> {
+    let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+    let list = unifier.add_ty(TypeEnum::TObj {
+        obj_id: PrimDef::List.id(),
+        fields: HashMap::new(),
+        params: into_var_map([list_elem_tvar]),
+    });
+
     let res: Arc<ResolverInternal> = ResolverInternal {
-        id_to_def: Mutex::default(),
+        id_to_def: Mutex::new(HashMap::from([("list".into(), PrimDef::List.id())])),
         id_to_type: tvars
             .into_iter()
             .map(|(name, range)| {
@@ -790,7 +798,7 @@ fn make_internal_resolver_with_tvar(
             })
             .collect::<HashMap<_, _>>()
             .into(),
-        class_names: Mutex::default(),
+        class_names: Mutex::new(HashMap::from([("list".into(), list)])),
     }
     .into();
     if print {

nac3core/src/toplevel/type_annotation.rs

@@ -1,8 +1,9 @@
 use super::*;
 use crate::symbol_resolver::SymbolValue;
-use crate::toplevel::helper::PrimDef;
+use crate::toplevel::helper::{PrimDef, PrimDefDetails};
 use crate::typecheck::typedef::VarMap;
 use nac3parser::ast::Constant;
+use strum::IntoEnumIterator;
 
 #[derive(Clone, Debug)]
 pub enum TypeAnnotation {
@@ -18,7 +19,6 @@ pub enum TypeAnnotation {
     TypeVar(Type),
     /// A `Literal` allowing a subset of literals.
     Literal(Vec<Constant>),
-    List(Box<TypeAnnotation>),
     Tuple(Vec<TypeAnnotation>),
 }
 
@@ -51,7 +51,6 @@ impl TypeAnnotation {
                 format!("Literal({})", values.iter().map(|v| format!("{v:?}")).join(", "))
             }
             Virtual(ty) => format!("virtual[{}]", ty.stringify(unifier)),
-            List(ty) => format!("list[{}]", ty.stringify(unifier)),
             Tuple(types) => {
                 format!(
                     "tuple[{}]",
@@ -145,9 +144,7 @@ pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
          slice: &ast::Expr<T>,
          unifier: &mut Unifier,
          mut locked: HashMap<DefinitionId, Vec<Type>, S>| {
-            if ["virtual".into(), "Generic".into(), "list".into(), "tuple".into(), "Option".into()]
+            if ["virtual".into(), "Generic".into(), "tuple".into(), "Option".into()].contains(id) {
-                .contains(id)
-            {
                 return Err(HashSet::from([format!(
                     "keywords cannot be class name (at {})",
                     expr.location
@@ -236,23 +233,6 @@ pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
             Ok(TypeAnnotation::Virtual(def.into()))
         }
 
-        // list
-        ast::ExprKind::Subscript { value, slice, .. }
-            if {
-                matches!(&value.node, ast::ExprKind::Name { id, .. } if id == &"list".into())
-            } =>
-        {
-            let def_ann = parse_ast_to_type_annotation_kinds(
-                resolver,
-                top_level_defs,
-                unifier,
-                primitives,
-                slice.as_ref(),
-                locked,
-            )?;
-            Ok(TypeAnnotation::List(def_ann.into()))
-        }
-
         // option
         ast::ExprKind::Subscript { value, slice, .. }
             if {
@@ -378,6 +358,7 @@ pub fn parse_ast_to_type_annotation_kinds<T, S: std::hash::BuildHasher + Clone>(
 pub fn get_type_from_type_annotation_kinds(
     top_level_defs: &[Arc<RwLock<TopLevelDef>>],
     unifier: &mut Unifier,
+    primitives: &PrimitiveStore,
     ann: &TypeAnnotation,
     subst_list: &mut Option<Vec<Type>>,
 ) -> Result<Type, HashSet<String>> {
@@ -400,10 +381,43 @@ pub fn get_type_from_type_annotation_kinds(
             let param_ty = params
                 .iter()
                 .map(|x| {
-                    get_type_from_type_annotation_kinds(top_level_defs, unifier, x, subst_list)
+                    get_type_from_type_annotation_kinds(
+                        top_level_defs,
+                        unifier,
+                        primitives,
+                        x,
+                        subst_list,
+                    )
                 })
                 .collect::<Result<Vec<_>, _>>()?;
 
+            let ty = if let Some(prim_def) = PrimDef::iter().find(|prim| prim.id() == *obj_id) {
+                // Primitive TopLevelDefs do not contain all fields that are present in their Type
+                // counterparts, so directly perform subst on the Type instead.
+
+                let PrimDefDetails::PrimClass { get_ty_fn, .. } = prim_def.details() else {
+                    unreachable!()
+                };
+
+                let base_ty = get_ty_fn(primitives);
+                let params =
+                    if let TypeEnum::TObj { params, .. } = &*unifier.get_ty_immutable(base_ty) {
+                        params.clone()
+                    } else {
+                        unreachable!()
+                    };
+
+                unifier
+                    .subst(
+                        get_ty_fn(primitives),
+                        &params
+                            .iter()
+                            .zip(param_ty)
+                            .map(|(obj_tv, param)| (*obj_tv.0, param))
+                            .collect(),
+                    )
+                    .unwrap_or(base_ty)
+            } else {
                 let subst = {
                     // check for compatible range
                     // TODO: if allow type var to be applied(now this disallowed in the parse_to_type_annotation), need more check
@@ -445,12 +459,15 @@ pub fn get_type_from_type_annotation_kinds(
                                 }
                             }
 
-                        TypeEnum::TVar { id, range, name, loc, is_const_generic: true, .. } => {
+                            TypeEnum::TVar {
+                                id, range, name, loc, is_const_generic: true, ..
+                            } => {
                                 let ty = range[0];
                                 let ok: bool = {
                                     // create a temp type var and unify to check compatibility
                                     p == *tvar || {
-                                    let temp = unifier.get_fresh_const_generic_var(ty, *name, *loc);
+                                        let temp =
+                                            unifier.get_fresh_const_generic_var(ty, *name, *loc);
                                         unifier.unify(temp.ty, p).is_ok()
                                     }
                                 };
@@ -489,11 +506,16 @@ pub fn get_type_from_type_annotation_kinds(
                     fields: tobj_fields,
                     params: subst,
                 });
+
                 if need_subst {
                     if let Some(wl) = subst_list.as_mut() {
                         wl.push(ty);
                     }
                 }
+
+                ty
+            };
+
             Ok(ty)
         }
         TypeAnnotation::Primitive(ty) | TypeAnnotation::TypeVar(ty) => Ok(*ty),
@@ -511,28 +533,26 @@ pub fn get_type_from_type_annotation_kinds(
             let ty = get_type_from_type_annotation_kinds(
                 top_level_defs,
                 unifier,
+                primitives,
                 ty.as_ref(),
                 subst_list,
             )?;
             Ok(unifier.add_ty(TypeEnum::TVirtual { ty }))
         }
-        TypeAnnotation::List(ty) => {
-            let ty = get_type_from_type_annotation_kinds(
-                top_level_defs,
-                unifier,
-                ty.as_ref(),
-                subst_list,
-            )?;
-            Ok(unifier.add_ty(TypeEnum::TList { ty }))
-        }
         TypeAnnotation::Tuple(tys) => {
             let tys = tys
                 .iter()
                 .map(|x| {
-                    get_type_from_type_annotation_kinds(top_level_defs, unifier, x, subst_list)
+                    get_type_from_type_annotation_kinds(
+                        top_level_defs,
+                        unifier,
+                        primitives,
+                        x,
+                        subst_list,
+                    )
                 })
                 .collect::<Result<Vec<_>, _>>()?;
-            Ok(unifier.add_ty(TypeEnum::TTuple { ty: tys }))
+            Ok(unifier.add_ty(TypeEnum::TTuple { ty: tys, is_vararg_ctx: false }))
         }
     }
 }
@@ -565,7 +585,7 @@ pub fn get_type_var_contained_in_type_annotation(ann: &TypeAnnotation) -> Vec<Ty
     let mut result: Vec<TypeAnnotation> = Vec::new();
     match ann {
         TypeAnnotation::TypeVar(..) => result.push(ann.clone()),
-        TypeAnnotation::Virtual(ann) | TypeAnnotation::List(ann) => {
+        TypeAnnotation::Virtual(ann) => {
             result.extend(get_type_var_contained_in_type_annotation(ann.as_ref()));
         }
         TypeAnnotation::CustomClass { params, .. } => {
@@ -606,8 +626,7 @@ pub fn check_overload_type_annotation_compatible(
 
             a == b
         }
-        (TypeAnnotation::Virtual(a), TypeAnnotation::Virtual(b))
+        (TypeAnnotation::Virtual(a), TypeAnnotation::Virtual(b)) => {
-        | (TypeAnnotation::List(a), TypeAnnotation::List(b)) => {
             check_overload_type_annotation_compatible(a.as_ref(), b.as_ref(), unifier)
         }
 

nac3core/src/typecheck/function_check.rs

@@ -1,7 +1,7 @@
-use crate::typecheck::typedef::TypeEnum;
+use crate::toplevel::helper::PrimDef;
 
 use super::type_inferencer::Inferencer;
-use super::typedef::Type;
+use super::typedef::{Type, TypeEnum};
 use nac3parser::ast::{
     self, Constant, Expr, ExprKind,
     Operator::{LShift, RShift},
@@ -34,13 +34,18 @@ impl<'a> Inferencer<'a> {
                 self.should_have_value(pattern)?;
                 Ok(())
             }
-            ExprKind::Tuple { elts, .. } => {
+            ExprKind::List { elts, .. } | ExprKind::Tuple { elts, .. } => {
                 for elt in elts {
                     self.check_pattern(elt, defined_identifiers)?;
                     self.should_have_value(elt)?;
                 }
                 Ok(())
             }
+            ExprKind::Starred { value, .. } => {
+                self.check_pattern(value, defined_identifiers)?;
+                self.should_have_value(value)?;
+                Ok(())
+            }
             ExprKind::Subscript { value, slice, .. } => {
                 self.check_expr(value, defined_identifiers)?;
                 self.should_have_value(value)?;
@@ -69,6 +74,7 @@ impl<'a> Inferencer<'a> {
         // there are some cases where the custom field is None
         if let Some(ty) = &expr.custom {
             if !matches!(&expr.node, ExprKind::Constant { value: Constant::Ellipsis, .. })
+                && !ty.obj_id(self.unifier).is_some_and(|id| id == PrimDef::List.id())
                 && !self.unifier.is_concrete(*ty, &self.function_data.bound_variables)
             {
                 return Err(HashSet::from([format!(
@@ -217,7 +223,7 @@ impl<'a> Inferencer<'a> {
             ]
             .iter()
             .any(|allowed_ty| self.unifier.unioned(ret_ty, *allowed_ty)),
-            TypeEnum::TTuple { ty } => ty.iter().all(|t| self.check_return_value_ty(*t)),
+            TypeEnum::TTuple { ty, .. } => ty.iter().all(|t| self.check_return_value_ty(*t)),
             _ => false,
         }
     }

nac3core/src/typecheck/magic_methods.rs

@@ -5,7 +5,7 @@ use crate::typecheck::{
     type_inferencer::*,
     typedef::{FunSignature, FuncArg, Type, TypeEnum, Unifier, VarMap},
 };
-use itertools::Itertools;
+use itertools::{iproduct, Itertools};
 use nac3parser::ast::StrRef;
 use nac3parser::ast::{Cmpop, Operator, Unaryop};
 use std::cmp::max;
@@ -13,67 +13,138 @@ use std::collections::HashMap;
 use std::rc::Rc;
 use strum::IntoEnumIterator;
 
+/// The variant of a binary operator.
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+pub enum BinopVariant {
+    /// The normal variant.
+    /// For addition, it would be `+`.
+    Normal,
+    /// The "Augmented Assigning Operator" variant.
+    /// For addition, it would be `+=`.
+    AugAssign,
+}
+
+/// A binary operator with its variant.
+#[derive(Debug, Clone, Copy)]
+pub struct Binop {
+    /// The base [`Operator`] of this binary operator.
+    pub base: Operator,
+    /// The variant of this binary operator.
+    pub variant: BinopVariant,
+}
+
+impl Binop {
+    /// Make a [`Binop`] of the normal variant from an [`Operator`].
     #[must_use]
-pub fn binop_name(op: Operator) -> &'static str {
+    pub fn normal(base: Operator) -> Self {
-    match op {
+        Binop { base, variant: BinopVariant::Normal }
-        Operator::Add => "__add__",
+    }
-        Operator::Sub => "__sub__",
+
-        Operator::Div => "__truediv__",
+    /// Make a [`Binop`] of the aug assign variant from an [`Operator`].
-        Operator::Mod => "__mod__",
+    #[must_use]
-        Operator::Mult => "__mul__",
+    pub fn aug_assign(base: Operator) -> Self {
-        Operator::Pow => "__pow__",
+        Binop { base, variant: BinopVariant::AugAssign }
-        Operator::BitOr => "__or__",
-        Operator::BitXor => "__xor__",
-        Operator::BitAnd => "__and__",
-        Operator::LShift => "__lshift__",
-        Operator::RShift => "__rshift__",
-        Operator::FloorDiv => "__floordiv__",
-        Operator::MatMult => "__matmul__",
     }
 }
 
-#[must_use]
+/// Details about an operator (unary, binary, etc...) in Python
-pub fn binop_assign_name(op: Operator) -> &'static str {
+#[derive(Debug, Clone, Copy)]
-    match op {
+pub struct OpInfo {
-        Operator::Add => "__iadd__",
+    /// The method name of the binary operator.
-        Operator::Sub => "__isub__",
+    /// For addition, this would be `__add__`, and `__iadd__` if
-        Operator::Div => "__itruediv__",
+    /// it is the augmented assigning variant.
-        Operator::Mod => "__imod__",
+    pub method_name: &'static str,
-        Operator::Mult => "__imul__",
+    /// The symbol of the binary operator.
-        Operator::Pow => "__ipow__",
+    /// For addition, this would be `+`, and `+=` if
-        Operator::BitOr => "__ior__",
+    /// it is the augmented assigning variant.
-        Operator::BitXor => "__ixor__",
+    pub symbol: &'static str,
-        Operator::BitAnd => "__iand__",
-        Operator::LShift => "__ilshift__",
-        Operator::RShift => "__irshift__",
-        Operator::FloorDiv => "__ifloordiv__",
-        Operator::MatMult => "__imatmul__",
-    }
 }
 
-#[must_use]
+/// Helper macro to conveniently build an [`OpInfo`].
-pub fn unaryop_name(op: Unaryop) -> &'static str {
+///
-    match op {
+/// Example usage: `make_info("add", "+")` generates `OpInfo { name: "__add__", symbol: "+" }`
-        Unaryop::UAdd => "__pos__",
+macro_rules! make_op_info {
-        Unaryop::USub => "__neg__",
+    ($name:expr, $symbol:expr) => {
-        Unaryop::Not => "__not__",
+        OpInfo { method_name: concat!("__", $name, "__"), symbol: $symbol }
-        Unaryop::Invert => "__inv__",
+    };
-    }
 }
 
-#[must_use]
+pub trait HasOpInfo {
-pub fn comparison_name(op: Cmpop) -> Option<&'static str> {
+    fn op_info(&self) -> OpInfo;
+}
+
+fn try_get_cmpop_info(op: Cmpop) -> Option<OpInfo> {
     match op {
-        Cmpop::Lt => Some("__lt__"),
+        Cmpop::Lt => Some(make_op_info!("lt", "<")),
-        Cmpop::LtE => Some("__le__"),
+        Cmpop::LtE => Some(make_op_info!("le", "<=")),
-        Cmpop::Gt => Some("__gt__"),
+        Cmpop::Gt => Some(make_op_info!("gt", ">")),
-        Cmpop::GtE => Some("__ge__"),
+        Cmpop::GtE => Some(make_op_info!("ge", ">=")),
-        Cmpop::Eq => Some("__eq__"),
+        Cmpop::Eq => Some(make_op_info!("eq", "==")),
-        Cmpop::NotEq => Some("__ne__"),
+        Cmpop::NotEq => Some(make_op_info!("ne", "!=")),
         _ => None,
     }
 }
 
+impl OpInfo {
+    #[must_use]
+    pub fn supports_cmpop(op: Cmpop) -> bool {
+        try_get_cmpop_info(op).is_some()
+    }
+}
+
+impl HasOpInfo for Cmpop {
+    fn op_info(&self) -> OpInfo {
+        try_get_cmpop_info(*self).expect("{self:?} is not supported")
+    }
+}
+
+impl HasOpInfo for Binop {
+    fn op_info(&self) -> OpInfo {
+        // Helper macro to generate both the normal variant [`OpInfo`] and the
+        // augmented assigning variant [`OpInfo`] for a binary operator conveniently.
+        macro_rules! info {
+            ($name:literal, $symbol:literal) => {
+                (
+                    make_op_info!($name, $symbol),
+                    make_op_info!(concat!("i", $name), concat!($symbol, "=")),
+                )
+            };
+        }
+
+        let (normal_variant, aug_assign_variant) = match self.base {
+            Operator::Add => info!("add", "+"),
+            Operator::Sub => info!("sub", "-"),
+            Operator::Div => info!("truediv", "/"),
+            Operator::Mod => info!("mod", "%"),
+            Operator::Mult => info!("mul", "*"),
+            Operator::Pow => info!("pow", "**"),
+            Operator::BitOr => info!("or", "|"),
+            Operator::BitXor => info!("xor", "^"),
+            Operator::BitAnd => info!("and", "&"),
+            Operator::LShift => info!("lshift", "<<"),
+            Operator::RShift => info!("rshift", ">>"),
+            Operator::FloorDiv => info!("floordiv", "//"),
+            Operator::MatMult => info!("matmul", "@"),
+        };
+
+        match self.variant {
+            BinopVariant::Normal => normal_variant,
+            BinopVariant::AugAssign => aug_assign_variant,
+        }
+    }
+}
+
+impl HasOpInfo for Unaryop {
+    fn op_info(&self) -> OpInfo {
+        match self {
+            Unaryop::UAdd => make_op_info!("pos", "+"),
+            Unaryop::USub => make_op_info!("neg", "-"),
+            Unaryop::Not => make_op_info!("not", "not"), // i.e., `not False`, so the symbol is just `not`.
+            Unaryop::Invert => make_op_info!("inv", "~"),
+        }
+    }
+}
+
 pub(super) fn with_fields<F>(unifier: &mut Unifier, ty: Type, f: F)
 where
     F: FnOnce(&mut Unifier, &mut HashMap<StrRef, (Type, bool)>),
@@ -115,23 +186,9 @@ pub fn impl_binop(
 
         let ret_ty = ret_ty.unwrap_or_else(|| unifier.get_fresh_var(None, None).ty);
 
-        for op in ops {
+        for (base_op, variant) in iproduct!(ops, [BinopVariant::Normal, BinopVariant::AugAssign]) {
-            fields.insert(binop_name(*op).into(), {
+            let op = Binop { base: *base_op, variant };
-                (
+            fields.insert(op.op_info().method_name.into(), {
-                    unifier.add_ty(TypeEnum::TFunc(FunSignature {
-                        ret: ret_ty,
-                        vars: function_vars.clone(),
-                        args: vec![FuncArg {
-                            ty: other_ty,
-                            default_value: None,
-                            name: "other".into(),
-                        }],
-                    })),
-                    false,
-                )
-            });
-
-            fields.insert(binop_assign_name(*op).into(), {
                 (
                     unifier.add_ty(TypeEnum::TFunc(FunSignature {
                         ret: ret_ty,
@@ -140,6 +197,7 @@ pub fn impl_binop(
                             ty: other_ty,
                             default_value: None,
                             name: "other".into(),
+                            is_vararg: false,
                         }],
                     })),
                     false,
@@ -155,7 +213,7 @@ pub fn impl_unaryop(unifier: &mut Unifier, ty: Type, ret_ty: Option<Type>, ops:
 
         for op in ops {
             fields.insert(
-                unaryop_name(*op).into(),
+                op.op_info().method_name.into(),
                 (
                     unifier.add_ty(TypeEnum::TFunc(FunSignature {
                         ret: ret_ty,
@@ -195,7 +253,7 @@ pub fn impl_cmpop(
 
         for op in ops {
             fields.insert(
-                comparison_name(*op).unwrap().into(),
+                op.op_info().method_name.into(),
                 (
                     unifier.add_ty(TypeEnum::TFunc(FunSignature {
                         ret: ret_ty,
@@ -204,6 +262,7 @@ pub fn impl_cmpop(
                             ty: other_ty,
                             default_value: None,
                             name: "other".into(),
+                            is_vararg: false,
                         }],
                     })),
                     false,
@@ -429,12 +488,29 @@ pub fn typeof_binop(
     lhs: Type,
     rhs: Type,
 ) -> Result<Option<Type>, String> {
+    let op = Binop { base: op, variant: BinopVariant::Normal };
+
+    let is_left_list = lhs.obj_id(unifier).is_some_and(|id| id == PrimDef::List.id());
+    let is_right_list = rhs.obj_id(unifier).is_some_and(|id| id == PrimDef::List.id());
     let is_left_ndarray = lhs.obj_id(unifier).is_some_and(|id| id == PrimDef::NDArray.id());
     let is_right_ndarray = rhs.obj_id(unifier).is_some_and(|id| id == PrimDef::NDArray.id());
 
-    Ok(Some(match op {
+    Ok(Some(match op.base {
         Operator::Add | Operator::Sub | Operator::Mult | Operator::Mod | Operator::FloorDiv => {
-            if is_left_ndarray || is_right_ndarray {
+            if is_left_list || is_right_list {
+                if ![Operator::Add, Operator::Mult].contains(&op.base) {
+                    return Err(format!(
+                        "Binary operator {} not supported for list",
+                        op.op_info().symbol
+                    ));
+                }
+
+                if is_left_list {
+                    lhs
+                } else {
+                    rhs
+                }
+            } else if is_left_ndarray || is_right_ndarray {
                 typeof_ndarray_broadcast(unifier, primitives, lhs, rhs)?
             } else if unifier.unioned(lhs, rhs) {
                 lhs
@@ -604,6 +680,7 @@ pub fn set_primitives_magic_methods(store: &PrimitiveStore, unifier: &mut Unifie
         bool: bool_t,
         uint32: uint32_t,
         uint64: uint64_t,
+        list: list_t,
         ndarray: ndarray_t,
         ..
     } = *store;
@@ -648,6 +725,11 @@ pub fn set_primitives_magic_methods(store: &PrimitiveStore, unifier: &mut Unifie
     impl_sign(unifier, store, bool_t, Some(int32_t));
     impl_eq(unifier, store, bool_t, &[bool_t, ndarray_bool_t], None);
 
+    /* list ======== */
+    impl_binop(unifier, store, list_t, &[list_t], Some(list_t), &[Operator::Add]);
+    impl_binop(unifier, store, list_t, &[int32_t, int64_t], Some(list_t), &[Operator::Mult]);
+    impl_cmpop(unifier, store, list_t, &[list_t], &[Cmpop::Eq, Cmpop::NotEq], Some(bool_t));
+
     /* ndarray ===== */
     let ndarray_usized_ndims_tvar =
         unifier.get_fresh_const_generic_var(size_t, Some("ndarray_ndims".into()), None);

nac3core/src/typecheck/type_error.rs

@@ -1,11 +1,14 @@
 use std::collections::HashMap;
 use std::fmt::Display;
 
-use crate::typecheck::typedef::TypeEnum;
+use crate::typecheck::{magic_methods::HasOpInfo, typedef::TypeEnum};
 
-use super::typedef::{RecordKey, Type, Unifier};
+use super::{
+    magic_methods::Binop,
+    typedef::{RecordKey, Type, Unifier},
+};
 use itertools::Itertools;
-use nac3parser::ast::{Location, StrRef};
+use nac3parser::ast::{Cmpop, Location, StrRef};
 
 #[derive(Debug, Clone)]
 pub enum TypeErrorKind {
@@ -26,6 +29,18 @@ pub enum TypeErrorKind {
         expected: Type,
         got: Type,
     },
+    UnsupportedBinaryOpTypes {
+        operator: Binop,
+        lhs_type: Type,
+        rhs_type: Type,
+        expected_rhs_type: Type,
+    },
+    UnsupportedComparsionOpTypes {
+        operator: Cmpop,
+        lhs_type: Type,
+        rhs_type: Type,
+        expected_rhs_type: Type,
+    },
     FieldUnificationError {
         field: RecordKey,
         types: (Type, Type),
@@ -101,6 +116,26 @@ impl<'a> Display for DisplayTypeError<'a> {
                 let args = missing_arg_names.iter().join(", ");
                 write!(f, "Missing arguments: {args}")
             }
+            UnsupportedBinaryOpTypes { operator, lhs_type, rhs_type, expected_rhs_type } => {
+                let op_symbol = operator.op_info().symbol;
+
+                let lhs_type_str = self.unifier.stringify_with_notes(*lhs_type, &mut notes);
+                let rhs_type_str = self.unifier.stringify_with_notes(*rhs_type, &mut notes);
+                let expected_rhs_type_str =
+                    self.unifier.stringify_with_notes(*expected_rhs_type, &mut notes);
+
+                write!(f, "Unsupported operand type(s) for {op_symbol}: '{lhs_type_str}' and '{rhs_type_str}' (right operand should have type {expected_rhs_type_str})")
+            }
+            UnsupportedComparsionOpTypes { operator, lhs_type, rhs_type, expected_rhs_type } => {
+                let op_symbol = operator.op_info().symbol;
+
+                let lhs_type_str = self.unifier.stringify_with_notes(*lhs_type, &mut notes);
+                let rhs_type_str = self.unifier.stringify_with_notes(*rhs_type, &mut notes);
+                let expected_rhs_type_str =
+                    self.unifier.stringify_with_notes(*expected_rhs_type, &mut notes);
+
+                write!(f, "'{op_symbol}' not supported between instances of '{lhs_type_str}' and '{rhs_type_str}' (right operand should have type {expected_rhs_type_str})")
+            }
             UnknownArgName(name) => {
                 write!(f, "Unknown argument name: {name}")
             }
@@ -148,9 +183,10 @@ impl<'a> Display for DisplayTypeError<'a> {
                         }
                         result
                     }
-                    (TypeEnum::TTuple { ty: ty1 }, TypeEnum::TTuple { ty: ty2 })
+                    (
-                        if ty1.len() != ty2.len() =>
+                        TypeEnum::TTuple { ty: ty1, is_vararg_ctx: is_vararg1 },
-                    {
+                        TypeEnum::TTuple { ty: ty2, is_vararg_ctx: is_vararg2 },
+                    ) if !is_vararg1 && !is_vararg2 && ty1.len() != ty2.len() => {
                         let t1 = self.unifier.stringify_with_notes(*t1, &mut notes);
                         let t2 = self.unifier.stringify_with_notes(*t2, &mut notes);
                         write!(f, "Tuple length mismatch: got {t1} and {t2}")

nac3core/src/typecheck/type_inferencer/test.rs

@@ -83,7 +83,12 @@ impl TestEnvironment {
         });
         with_fields(&mut unifier, int32, |unifier, fields| {
             let add_ty = unifier.add_ty(TypeEnum::TFunc(FunSignature {
-                args: vec![FuncArg { name: "other".into(), ty: int32, default_value: None }],
+                args: vec![FuncArg {
+                    name: "other".into(),
+                    ty: int32,
+                    default_value: None,
+                    is_vararg: false,
+                }],
                 ret: int32,
                 vars: VarMap::new(),
             }));
@@ -139,6 +144,12 @@ impl TestEnvironment {
             fields: HashMap::new(),
             params: VarMap::new(),
         });
+        let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+        let list = unifier.add_ty(TypeEnum::TObj {
+            obj_id: PrimDef::List.id(),
+            fields: HashMap::new(),
+            params: into_var_map([list_elem_tvar]),
+        });
         let ndarray_dtype_tvar = unifier.get_fresh_var(Some("ndarray_dtype".into()), None);
         let ndarray_ndims_tvar =
             unifier.get_fresh_const_generic_var(uint64, Some("ndarray_ndims".into()), None);
@@ -159,6 +170,7 @@ impl TestEnvironment {
             uint32,
             uint64,
             option,
+            list,
             ndarray,
             size_t: 64,
         };
@@ -217,7 +229,12 @@ impl TestEnvironment {
         });
         with_fields(&mut unifier, int32, |unifier, fields| {
             let add_ty = unifier.add_ty(TypeEnum::TFunc(FunSignature {
-                args: vec![FuncArg { name: "other".into(), ty: int32, default_value: None }],
+                args: vec![FuncArg {
+                    name: "other".into(),
+                    ty: int32,
+                    default_value: None,
+                    is_vararg: false,
+                }],
                 ret: int32,
                 vars: VarMap::new(),
             }));
@@ -273,13 +290,33 @@ impl TestEnvironment {
             fields: HashMap::new(),
             params: VarMap::new(),
         });
+        let list_elem_tvar = unifier.get_fresh_var(Some("list_elem".into()), None);
+        let list = unifier.add_ty(TypeEnum::TObj {
+            obj_id: PrimDef::List.id(),
+            fields: HashMap::new(),
+            params: into_var_map([list_elem_tvar]),
+        });
         let ndarray = unifier.add_ty(TypeEnum::TObj {
             obj_id: PrimDef::NDArray.id(),
             fields: HashMap::new(),
             params: VarMap::new(),
         });
         identifier_mapping.insert("None".into(), none);
-        for (i, name) in ["int32", "int64", "float", "bool", "none", "range", "str", "Exception"]
+        for (i, name) in [
+            "int32",
+            "int64",
+            "float",
+            "bool",
+            "none",
+            "range",
+            "str",
+            "Exception",
+            "uint32",
+            "uint64",
+            "Option",
+            "list",
+            "ndarray",
+        ]
         .iter()
         .enumerate()
         {
@@ -299,7 +336,7 @@ impl TestEnvironment {
                 .into(),
             );
         }
-        let defs = 7;
+        let defs = 12;
 
         let primitives = PrimitiveStore {
             int32,
@@ -313,6 +350,7 @@ impl TestEnvironment {
             uint32,
             uint64,
             option,
+            list,
             ndarray,
             size_t: 64,
         };
@@ -424,6 +462,11 @@ impl TestEnvironment {
             "range".into(),
             "str".into(),
             "exception".into(),
+            "uint32".into(),
+            "uint64".into(),
+            "option".into(),
+            "list".into(),
+            "ndarray".into(),
             "Foo".into(),
             "Bar".into(),
             "Bar2".into(),

nac3core/src/typecheck/typedef/mod.rs

@@ -1,19 +1,21 @@
 use indexmap::IndexMap;
-use itertools::Itertools;
+use itertools::{repeat_n, Itertools};
+use nac3parser::ast::{Cmpop, Location, StrRef, Unaryop};
 use std::cell::RefCell;
 use std::collections::HashMap;
 use std::fmt::{self, Display};
-use std::iter::zip;
+use std::iter::{repeat, zip};
 use std::rc::Rc;
 use std::sync::{Arc, Mutex};
 use std::{borrow::Cow, collections::HashSet};
 
-use nac3parser::ast::{Location, StrRef};
+use super::magic_methods::Binop;
-
 use super::type_error::{TypeError, TypeErrorKind};
 use super::unification_table::{UnificationKey, UnificationTable};
 use crate::symbol_resolver::SymbolValue;
+use crate::toplevel::helper::PrimDef;
 use crate::toplevel::{DefinitionId, TopLevelContext, TopLevelDef};
+use crate::typecheck::magic_methods::OpInfo;
 use crate::typecheck::type_inferencer::PrimitiveStore;
 
 #[cfg(test)]
@@ -73,6 +75,28 @@ pub fn iter_type_vars(var_map: &VarMap) -> impl Iterator<Item = TypeVar> + '_ {
     var_map.iter().map(|(&id, &ty)| TypeVar { id, ty })
 }
 
+#[derive(Debug, Clone)]
+pub enum OperatorInfo {
+    /// The call was written as an unary operation, e.g., `~a` or `not a`.
+    IsUnaryOp {
+        /// The [`Type`] of the `self` object
+        self_type: Type,
+        operator: Unaryop,
+    },
+    /// The call was written as a binary operation, e.g., `a + b` or `a += b`.
+    IsBinaryOp {
+        /// The [`Type`] of the `self` object
+        self_type: Type,
+        operator: Binop,
+    },
+    /// The call was written as a binary comparison operation, e.g., `a < b`.
+    IsComparisonOp {
+        /// The [`Type`] of the `self` object
+        self_type: Type,
+        operator: Cmpop,
+    },
+}
+
 #[derive(Clone)]
 pub struct Call {
     pub posargs: Vec<Type>,
@@ -80,6 +104,9 @@ pub struct Call {
     pub ret: Type,
     pub fun: RefCell<Option<Type>>,
     pub loc: Option<Location>,
+
+    /// Details about the associated Python user operator expression of this call, if any.
+    pub operator_info: Option<OperatorInfo>,
 }
 
 #[derive(Debug, Clone)]
@@ -87,6 +114,7 @@ pub struct FuncArg {
     pub name: StrRef,
     pub ty: Type,
     pub default_value: Option<SymbolValue>,
+    pub is_vararg: bool,
 }
 
 impl FuncArg {
@@ -205,12 +233,12 @@ pub enum TypeEnum {
     TTuple {
         /// The types of elements present in this tuple.
         ty: Vec<Type>,
-    },
 
-    /// A list type.
+        /// Whether this tuple is used in a vararg context.
-    TList {
+        ///
-        /// The type of elements present in this list.
+        /// If `true`, `ty` must only contain one type, and the tuple is assumed to contain any
-        ty: Type,
+        /// number of `ty`-typed values.
+        is_vararg_ctx: bool,
     },
 
     /// An object type.
@@ -246,7 +274,6 @@ impl TypeEnum {
             TypeEnum::TVar { .. } => "TVar",
             TypeEnum::TLiteral { .. } => "TConstant",
             TypeEnum::TTuple { .. } => "TTuple",
-            TypeEnum::TList { .. } => "TList",
             TypeEnum::TObj { .. } => "TObj",
             TypeEnum::TVirtual { .. } => "TVirtual",
             TypeEnum::TCall { .. } => "TCall",
@@ -482,13 +509,31 @@ impl Unifier {
                     )
                 }
             }
-            TypeEnum::TList { ty } => self
+            TypeEnum::TObj { obj_id, params, .. } if *obj_id == PrimDef::List.id() => {
-                .get_instantiations(*ty)
+                let tv = iter_type_vars(params).nth(0).unwrap();
-                .map(|ty| ty.iter().map(|&ty| self.add_ty(TypeEnum::TList { ty })).collect_vec()),
+
+                let tv_id = if let TypeEnum::TVar { id, .. } =
+                    self.unification_table.probe_value(tv.ty).as_ref()
+                {
+                    *id
+                } else {
+                    tv.id
+                };
+
+                self.get_instantiations(tv.ty).map(|ty_insts| {
+                    ty_insts
+                        .iter()
+                        .map(|&ty_inst| {
+                            self.subst(ty, &into_var_map([TypeVar { id: tv_id, ty: ty_inst }]))
+                                .unwrap_or(ty)
+                        })
+                        .collect()
+                })
+            }
             TypeEnum::TVirtual { ty } => self.get_instantiations(*ty).map(|ty| {
                 ty.iter().map(|&ty| self.add_ty(TypeEnum::TVirtual { ty })).collect_vec()
             }),
-            TypeEnum::TTuple { ty } => {
+            TypeEnum::TTuple { ty, is_vararg_ctx } => {
                 let tuples = ty
                     .iter()
                     .map(|ty| self.get_instantiations(*ty).unwrap_or_else(|| vec![*ty]))
@@ -498,7 +543,12 @@ impl Unifier {
                     None
                 } else {
                     Some(
-                        tuples.into_iter().map(|ty| self.add_ty(TypeEnum::TTuple { ty })).collect(),
+                        tuples
+                            .into_iter()
+                            .map(|ty| {
+                                self.add_ty(TypeEnum::TTuple { ty, is_vararg_ctx: *is_vararg_ctx })
+                            })
+                            .collect(),
                     )
                 }
             }
@@ -541,10 +591,8 @@ impl Unifier {
 
             TVar { .. } => allowed_typevars.iter().any(|b| self.unification_table.unioned(a, *b)),
             TCall { .. } => false,
-            TList { ty }
+            TVirtual { ty } => self.is_concrete(*ty, allowed_typevars),
-            | TVirtual { ty } => self.is_concrete(*ty, allowed_typevars),
+            TTuple { ty, .. } => ty.iter().all(|ty| self.is_concrete(*ty, allowed_typevars)),
-
-            TTuple { ty } => ty.iter().all(|ty| self.is_concrete(*ty, allowed_typevars)),
             TObj { params: vars, .. } => {
                 vars.values().all(|ty| self.is_concrete(*ty, allowed_typevars))
             }
@@ -612,16 +660,74 @@ impl Unifier {
 
         // Get details about the function signature/parameters.
         let num_params = signature.args.len();
+        let is_vararg = signature.args.iter().any(|arg| arg.is_vararg);
 
         // Force the type vars in `b` and `signature' to be up-to-date.
         let b = self.instantiate_fun(b, signature);
         let TypeEnum::TFunc(signature) = &*self.get_ty(b) else { unreachable!() };
 
         // Get details about the input arguments
-        let Call { posargs, kwargs, ret, fun, loc } = call;
+        let Call { posargs, kwargs, ret, fun, loc, operator_info } = call;
         let num_args = posargs.len() + kwargs.len();
 
-        // Now we check the arguments against the parameters
+        // Now we check the arguments against the parameters,
+        // and depending on what `call_info` is, we might change how the behavior `unify_call()`
+        // in hopes to improve user error messages when type checking fails.
+        match operator_info {
+            Some(OperatorInfo::IsBinaryOp { self_type, operator }) => {
+                // The call is written in the form of (say) `a + b`.
+                // Technically, it is `a.__add__(b)`, and they have the following constraints:
+                assert_eq!(posargs.len(), 1);
+                assert_eq!(kwargs.len(), 0);
+                assert_eq!(num_params, 1);
+
+                let other_type = posargs[0]; // the second operand
+                let expected_other_type = signature.args[0].ty;
+
+                let ok = self.unify_impl(expected_other_type, other_type, false).is_ok();
+                if !ok {
+                    self.restore_snapshot();
+                    return Err(TypeError::new(
+                        TypeErrorKind::UnsupportedBinaryOpTypes {
+                            operator: *operator,
+                            lhs_type: *self_type,
+                            rhs_type: other_type,
+                            expected_rhs_type: expected_other_type,
+                        },
+                        *loc,
+                    ));
+                }
+            }
+            Some(OperatorInfo::IsComparisonOp { self_type, operator })
+                if OpInfo::supports_cmpop(*operator) // Otherwise that comparison operator is not supported.
+                =>
+            {
+                // The call is written in the form of (say) `a <= b`.
+                // Technically, it is `a.__le__(b)`, and they have the following constraints:
+                assert_eq!(posargs.len(), 1);
+                assert_eq!(kwargs.len(), 0);
+                assert_eq!(num_params, 1);
+
+                let other_type = posargs[0]; // the second operand
+                let expected_other_type = signature.args[0].ty;
+
+                let ok = self.unify_impl(expected_other_type, other_type, false).is_ok();
+                if !ok {
+                    self.restore_snapshot();
+                    return Err(TypeError::new(
+                        TypeErrorKind::UnsupportedComparsionOpTypes {
+                            operator: *operator,
+                            lhs_type: *self_type,
+                            rhs_type: other_type,
+                            expected_rhs_type: expected_other_type,
+                        },
+                        *loc,
+                    ));
+                }
+            }
+            _ => {
+                // Handle [`CallInfo::IsNormalFunctionCall`] and other uninteresting variants
+                // of [`CallInfo`] (e.g, `CallInfo::IsUnaryOp` and unsupported comparison operators)
 
                 // Helper lambdas
                 let mut type_check_arg = |param_name, expected_arg_ty, arg_ty| {
@@ -643,7 +749,7 @@ impl Unifier {
                 };
 
                 // Check for "too many arguments"
-        if num_params < posargs.len() {
+                if !is_vararg && num_params < posargs.len() {
                     let expected_min_count =
                         signature.args.iter().filter(|param| param.is_required()).count();
                     let expected_max_count = num_params;
@@ -676,13 +782,29 @@ impl Unifier {
                     type_check_arg(param.name, param.ty, arg_ty)?;
                 }
 
+                if is_vararg {
+                    debug_assert!(!signature.args.is_empty());
+
+                    let vararg_args = posargs.iter().skip(signature.args.len());
+                    let vararg_param = signature.args.last().unwrap();
+
+                    for (&arg_ty, param) in zip(vararg_args, repeat(vararg_param)) {
+                        // `param_info` for this argument would've already been marked as supplied
+                        // during non-vararg posarg typecheck
+                        type_check_arg(param.name, param.ty, arg_ty)?;
+                    }
+                }
+
                 // Now consume all keyword arguments and typecheck them.
                 for (&param_name, &arg_ty) in kwargs {
                     // We will also use this opportunity to check if this keyword argument is "legal".
 
                     let Some(param_info) = param_info_by_name.get_mut(&param_name) else {
                         self.restore_snapshot();
-                return Err(TypeError::new(TypeErrorKind::UnknownArgName(param_name), *loc));
+                        return Err(TypeError::new(
+                            TypeErrorKind::UnknownArgName(param_name),
+                            *loc,
+                        ));
                     };
 
                     if param_info.has_been_supplied {
@@ -707,12 +829,17 @@ impl Unifier {
                 // unsupplied required parameters, and throw an error if they exist.
                 let missing_arg_names = param_info_by_name
                     .values()
-            .filter(|param_info| param_info.param.is_required() && !param_info.has_been_supplied)
+                    .filter(|param_info| {
+                        param_info.param.is_required() && !param_info.has_been_supplied
+                    })
                     .map(|param_info| param_info.param.name)
                     .collect_vec();
                 if !missing_arg_names.is_empty() {
                     self.restore_snapshot();
-            return Err(TypeError::new(TypeErrorKind::MissingArgs { missing_arg_names }, *loc));
+                    return Err(TypeError::new(
+                        TypeErrorKind::MissingArgs { missing_arg_names },
+                        *loc,
+                    ));
                 }
 
                 // Finally, check the Call's return type
@@ -723,6 +850,8 @@ impl Unifier {
                     }
                     err
                 })?;
+            }
+        }
 
         *fun.borrow_mut() = Some(b);
 
@@ -855,7 +984,10 @@ impl Unifier {
                 self.unify_impl(x, b, false)?;
                 self.set_a_to_b(a, x);
             }
-            (TVar { fields: Some(fields), range, is_const_generic: false, .. }, TTuple { ty }) => {
+            (
+                TVar { fields: Some(fields), range, is_const_generic: false, .. },
+                TTuple { ty, .. },
+            ) => {
                 let len = i32::try_from(ty.len()).unwrap();
                 for (k, v) in fields {
                     match *k {
@@ -885,22 +1017,6 @@ impl Unifier {
                 self.unify_impl(x, b, false)?;
                 self.set_a_to_b(a, x);
             }
-            (TVar { fields: Some(fields), range, is_const_generic: false, .. }, TList { ty }) => {
-                for (k, v) in fields {
-                    match *k {
-                        RecordKey::Int(_) => {
-                            self.unify_impl(v.ty, *ty, false).map_err(|e| e.at(v.loc))?;
-                        }
-                        RecordKey::Str(_) => {
-                            return Err(TypeError::new(TypeErrorKind::NoSuchField(*k, b), v.loc))
-                        }
-                    }
-                }
-                let x = self.check_var_compatibility(b, range)?.unwrap_or(b);
-                self.unify_impl(x, b, false)?;
-                self.set_a_to_b(a, x);
-            }
-
             (
                 TVar { id: id1, range: ty1, is_const_generic: true, .. },
                 TVar { id: id2, range: ty2, .. },
@@ -968,24 +1084,50 @@ impl Unifier {
                 self.set_a_to_b(a, b);
             }
 
-            (TTuple { ty: ty1 }, TTuple { ty: ty2 }) => {
+            (
-                if ty1.len() != ty2.len() {
+                TTuple { ty: ty1, is_vararg_ctx: is_vararg1 },
-                    return Err(TypeError::new(TypeErrorKind::IncompatibleTypes(a, b), None));
+                TTuple { ty: ty2, is_vararg_ctx: is_vararg2 },
+            ) => {
+                // Rules for Tuples:
+                // - ty1: is_vararg && ty2: is_vararg -> ty1[0] == ty2[0]
+                // - ty1: is_vararg && ty2: !is_vararg -> type error (not enough info to infer the correct number of arguments)
+                // - ty1: !is_vararg && ty2: is_vararg -> ty1[..] == ty2[0]
+                // - ty1: !is_vararg && ty2: !is_vararg -> ty1.len() == ty2.len() && ty1[i] == ty2[i]
+
+                debug_assert!(!is_vararg1 || ty1.len() == 1);
+                debug_assert!(!is_vararg2 || ty2.len() == 1);
+
+                match (*is_vararg1, *is_vararg2) {
+                    (true, true) => {
+                        if self.unify_impl(ty1[0], ty2[0], false).is_err() {
+                            return Self::incompatible_types(a, b);
                         }
+                    }
+                    (true, false) => return Self::incompatible_types(a, b),
+
+                    (false, true) => {
+                        for y in ty2 {
+                            if self.unify_impl(ty1[0], *y, false).is_err() {
+                                return Self::incompatible_types(a, b);
+                            }
+                        }
+                    }
+                    (false, false) => {
+                        if ty1.len() != ty2.len() {
+                            return Self::incompatible_types(a, b);
+                        }
+
                         for (x, y) in ty1.iter().zip(ty2.iter()) {
                             if self.unify_impl(*x, *y, false).is_err() {
-                        return Err(TypeError::new(TypeErrorKind::IncompatibleTypes(a, b), None));
+                                return Self::incompatible_types(a, b);
                             }
                         }
+                    }
+                }
+
                 self.set_a_to_b(a, b);
             }
-            (TList { ty: ty1 }, TList { ty: ty2 }) => {
+            (TVar { fields: Some(map), range, .. }, TObj { obj_id, fields, params }) => {
-                if self.unify_impl(*ty1, *ty2, false).is_err() {
-                    return Err(TypeError::new(TypeErrorKind::IncompatibleTypes(a, b), None));
-                }
-                self.set_a_to_b(a, b);
-            }
-            (TVar { fields: Some(map), range, .. }, TObj { fields, .. }) => {
                 for (k, field) in map {
                     match *k {
                         RecordKey::Str(s) => {
@@ -1004,10 +1146,18 @@ impl Unifier {
                             self.unify_impl(field.ty, ty, false).map_err(|v| v.at(field.loc))?;
                         }
                         RecordKey::Int(_) => {
+                            // Allow expressions such as list[0]
+                            if *obj_id == PrimDef::List.id() {
+                                let ty = iter_type_vars(params).nth(0).unwrap().ty;
+
+                                self.unify_impl(field.ty, ty, false)
+                                    .map_err(|e| e.at(field.loc))?;
+                            } else {
                                 return Err(TypeError::new(
                                     TypeErrorKind::NoSuchField(*k, b),
                                     field.loc,
-                            ))
+                                ));
+                            }
                         }
                     }
                 }
@@ -1217,13 +1367,22 @@ impl Unifier {
             TypeEnum::TLiteral { values, .. } => {
                 format!("const({})", values.iter().map(|v| format!("{v:?}")).join(", "))
             }
-            TypeEnum::TTuple { ty } => {
+            TypeEnum::TTuple { ty, is_vararg_ctx } => {
-                let mut fields =
+                if *is_vararg_ctx {
-                    ty.iter().map(|v| self.internal_stringify(*v, obj_to_name, var_to_name, notes));
+                    debug_assert_eq!(ty.len(), 1);
+                    let field = self.internal_stringify(
+                        *ty.iter().next().unwrap(),
+                        obj_to_name,
+                        var_to_name,
+                        notes,
+                    );
+                    format!("tuple[*{field}]")
+                } else {
+                    let mut fields = ty
+                        .iter()
+                        .map(|v| self.internal_stringify(*v, obj_to_name, var_to_name, notes));
                     format!("tuple[{}]", fields.join(", "))
                 }
-            TypeEnum::TList { ty } => {
-                format!("list[{}]", self.internal_stringify(*ty, obj_to_name, var_to_name, notes))
             }
             TypeEnum::TVirtual { ty } => {
                 format!(
@@ -1248,17 +1407,21 @@ impl Unifier {
                     .args
                     .iter()
                     .map(|arg| {
+                        let vararg_prefix = if arg.is_vararg { "*" } else { "" };
+
                         if let Some(dv) = &arg.default_value {
                             format!(
-                                "{}:{}={}",
+                                "{}:{}{}={}",
                                 arg.name,
+                                vararg_prefix,
                                 self.internal_stringify(arg.ty, obj_to_name, var_to_name, notes),
                                 dv
                             )
                         } else {
                             format!(
-                                "{}:{}",
+                                "{}:{}{}",
                                 arg.name,
+                                vararg_prefix,
                                 self.internal_stringify(arg.ty, obj_to_name, var_to_name, notes)
                             )
                         }
@@ -1344,7 +1507,7 @@ impl Unifier {
         match &*ty {
             TypeEnum::TRigidVar { .. } | TypeEnum::TLiteral { .. } => None,
             TypeEnum::TVar { id, .. } => mapping.get(id).copied(),
-            TypeEnum::TTuple { ty } => {
+            TypeEnum::TTuple { ty, is_vararg_ctx } => {
                 let mut new_ty = Cow::from(ty);
                 for (i, t) in ty.iter().enumerate() {
                     if let Some(t1) = self.subst_impl(*t, mapping, cache) {
@@ -1352,14 +1515,14 @@ impl Unifier {
                     }
                 }
                 if matches!(new_ty, Cow::Owned(_)) {
-                    Some(self.add_ty(TypeEnum::TTuple { ty: new_ty.into_owned() }))
+                    Some(self.add_ty(TypeEnum::TTuple {
+                        ty: new_ty.into_owned(),
+                        is_vararg_ctx: *is_vararg_ctx,
+                    }))
                 } else {
                     None
                 }
             }
-            TypeEnum::TList { ty } => {
-                self.subst_impl(*ty, mapping, cache).map(|t| self.add_ty(TypeEnum::TList { ty: t }))
-            }
             TypeEnum::TVirtual { ty } => self
                 .subst_impl(*ty, mapping, cache)
                 .map(|t| self.add_ty(TypeEnum::TVirtual { ty: t })),
@@ -1370,6 +1533,7 @@ impl Unifier {
                 // This is also used to prevent infinite substitution...
                 let need_subst = params.values().any(|v| {
                     let ty = self.unification_table.probe_value(*v);
+                    // TODO(Derppening): #444
                     if let TypeEnum::TVar { id, .. } = ty.as_ref() {
                         mapping.contains_key(id)
                     } else {
@@ -1514,20 +1678,55 @@ impl Unifier {
                 }
             }
             (TVar { range, .. }, _) => self.check_var_compatibility(b, range).or(Err(())),
-            (TTuple { ty: ty1 }, TTuple { ty: ty2 }) if ty1.len() == ty2.len() => {
+            (
-                let ty: Vec<_> = zip(ty1.iter(), ty2.iter())
+                TTuple { ty: ty1, is_vararg_ctx: is_vararg1 },
-                    .map(|(a, b)| self.get_intersection(*a, *b))
+                TTuple { ty: ty2, is_vararg_ctx: is_vararg2 },
-                    .try_collect()?;
+            ) => {
-                if ty.iter().any(Option::is_some) {
+                if *is_vararg1 && *is_vararg2 {
-                    Ok(Some(self.add_ty(TTuple {
+                    let isect_ty = self.get_intersection(ty1[0], ty2[0])?;
-                        ty: zip(ty, ty1.iter()).map(|(a, b)| a.unwrap_or(*b)).collect(),
+                    Ok(isect_ty.map(|ty| self.add_ty(TTuple { ty: vec![ty], is_vararg_ctx: true })))
-                    })))
                 } else {
-                    Ok(None)
+                    let zip_iter: Box<dyn Iterator<Item = (&Type, &Type)>> =
+                        match (*is_vararg1, *is_vararg2) {
+                            (true, _) => Box::new(repeat_n(&ty1[0], ty2.len()).zip(ty2.iter())),
+                            (_, false) => Box::new(ty1.iter().zip(repeat_n(&ty2[0], ty1.len()))),
+                            _ => {
+                                if ty1.len() != ty2.len() {
+                                    return Err(());
+                                }
+
+                                Box::new(ty1.iter().zip(ty2.iter()))
+                            }
+                        };
+
+                    let ty: Vec<_> =
+                        zip_iter.map(|(a, b)| self.get_intersection(*a, *b)).try_collect()?;
+                    Ok(if ty.iter().any(Option::is_some) {
+                        Some(self.add_ty(TTuple {
+                            ty: zip(ty, ty1.iter()).map(|(a, b)| a.unwrap_or(*b)).collect(),
+                            is_vararg_ctx: false,
+                        }))
+                    } else {
+                        None
+                    })
                 }
             }
-            (TList { ty: ty1 }, TList { ty: ty2 }) => {
+            // TODO(Derppening): #444
-                Ok(self.get_intersection(*ty1, *ty2)?.map(|ty| self.add_ty(TList { ty })))
+            (
+                TObj { obj_id: id1, fields, params: params1 },
+                TObj { obj_id: id2, params: params2, .. },
+            ) if *id1 == PrimDef::List.id() && *id2 == PrimDef::List.id() => {
+                let tv_id = iter_type_vars(params1).nth(0).unwrap().id;
+                let ty1 = iter_type_vars(params1).nth(0).unwrap().ty;
+                let ty2 = iter_type_vars(params2).nth(0).unwrap().ty;
+
+                Ok(self.get_intersection(ty1, ty2)?.map(|ty| {
+                    self.add_ty(TObj {
+                        obj_id: *id1,
+                        fields: fields.clone(),
+                        params: into_var_map([TypeVar { id: tv_id, ty }]),
+                    })
+                }))
             }
             (TVirtual { ty: ty1 }, TVirtual { ty: ty2 }) => {
                 Ok(self.get_intersection(*ty1, *ty2)?.map(|ty| self.add_ty(TVirtual { ty })))

nac3core/src/typecheck/typedef/test.rs

@@ -28,14 +28,14 @@ impl Unifier {
                 TypeEnum::TVar { fields: Some(map1), .. },
                 TypeEnum::TVar { fields: Some(map2), .. },
             ) => self.map_eq2(map1, map2),
-            (TypeEnum::TTuple { ty: ty1 }, TypeEnum::TTuple { ty: ty2 }) => {
+            (
+                TypeEnum::TTuple { ty: ty1, is_vararg_ctx: false },
+                TypeEnum::TTuple { ty: ty2, is_vararg_ctx: false },
+            ) => {
                 ty1.len() == ty2.len()
                     && ty1.iter().zip(ty2.iter()).all(|(t1, t2)| self.eq(*t1, *t2))
             }
-            (TypeEnum::TList { ty: ty1 }, TypeEnum::TList { ty: ty2 })
+            (TypeEnum::TVirtual { ty: ty1 }, TypeEnum::TVirtual { ty: ty2 }) => self.eq(*ty1, *ty2),
-            | (TypeEnum::TVirtual { ty: ty1 }, TypeEnum::TVirtual { ty: ty2 }) => {
-                self.eq(*ty1, *ty2)
-            }
             (
                 TypeEnum::TObj { obj_id: id1, params: params1, .. },
                 TypeEnum::TObj { obj_id: id2, params: params2, .. },
@@ -119,6 +119,15 @@ impl TestEnvironment {
                 params: into_var_map([tvar]),
             }),
         );
+        let tvar = unifier.get_dummy_var();
+        type_mapping.insert(
+            "list".into(),
+            unifier.add_ty(TypeEnum::TObj {
+                obj_id: PrimDef::List.id(),
+                fields: HashMap::new(),
+                params: into_var_map([tvar]),
+            }),
+        );
 
         TestEnvironment { unifier, type_mapping }
     }
@@ -133,6 +142,36 @@ impl TestEnvironment {
         // for testing only, so we can just panic when the input is malformed
         let end = typ.find(|c| ['[', ',', ']', '='].contains(&c)).unwrap_or(typ.len());
         match &typ[..end] {
+            "list" => {
+                let mut s = &typ[end..];
+                assert_eq!(&s[0..1], "[");
+                let mut ty = Vec::new();
+                while &s[0..1] != "]" {
+                    let result = self.internal_parse(&s[1..], mapping);
+                    ty.push(result.0);
+                    s = result.1;
+                }
+
+                assert_eq!(ty.len(), 1);
+
+                let list_elem_tvar = if let TypeEnum::TObj { params, .. } =
+                    &*self.unifier.get_ty_immutable(self.type_mapping["list"])
+                {
+                    iter_type_vars(params).next().unwrap()
+                } else {
+                    unreachable!()
+                };
+
+                (
+                    self.unifier
+                        .subst(
+                            self.type_mapping["list"],
+                            &into_var_map([TypeVar { id: list_elem_tvar.id, ty: ty[0] }]),
+                        )
+                        .unwrap(),
+                    &s[1..],
+                )
+            }
             "tuple" => {
                 let mut s = &typ[end..];
                 assert_eq!(&s[0..1], "[");
@@ -142,13 +181,7 @@ impl TestEnvironment {
                     ty.push(result.0);
                     s = result.1;
                 }
-                (self.unifier.add_ty(TypeEnum::TTuple { ty }), &s[1..])
+                (self.unifier.add_ty(TypeEnum::TTuple { ty, is_vararg_ctx: false }), &s[1..])
-            }
-            "list" => {
-                assert_eq!(&typ[end..=end], "[");
-                let (ty, s) = self.internal_parse(&typ[end + 1..], mapping);
-                assert_eq!(&s[0..1], "]");
-                (self.unifier.add_ty(TypeEnum::TList { ty }), &s[1..])
             }
             "Record" => {
                 let mut s = &typ[end..];
@@ -274,7 +307,7 @@ fn test_unify(
         ("v1", "tuple[int]"),
         ("v2", "list[int]"),
     ],
-    (("v1", "v2"), "Incompatible types: list[0] and tuple[0]")
+    (("v1", "v2"), "Incompatible types: 11[0] and tuple[0]")
     ; "type mismatch"
 )]
 #[test_case(2,
@@ -298,7 +331,7 @@ fn test_unify(
         ("v1", "Record[a=float,b=int]"),
         ("v2", "Foo[v3]"),
     ],
-    (("v1", "v2"), "`3[typevar4]::b` field/method does not exist")
+    (("v1", "v2"), "`3[typevar5]::b` field/method does not exist")
     ; "record obj merge"
 )]
 /// Test cases for invalid unifications.
@@ -388,6 +421,14 @@ fn test_typevar_range() {
     let int_list = env.parse("list[int]", &HashMap::new());
     let float_list = env.parse("list[float]", &HashMap::new());
 
+    let list_elem_tvar = if let TypeEnum::TObj { params, .. } =
+        &*env.unifier.get_ty_immutable(env.type_mapping["list"])
+    {
+        iter_type_vars(params).next().unwrap()
+    } else {
+        unreachable!()
+    };
+
     // unification between v and int
     // where v in (int, bool)
     let v = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
@@ -398,7 +439,7 @@ fn test_typevar_range() {
     let v = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
     assert_eq!(
         env.unify(int_list, v),
-        Err("Expected any one of these types: 0, 2, but got list[0]".to_string())
+        Err("Expected any one of these types: 0, 2, but got 11[0]".to_string())
     );
 
     // unification between v and float
@@ -410,7 +451,11 @@ fn test_typevar_range() {
     );
 
     let v1 = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
-    let v1_list = env.unifier.add_ty(TypeEnum::TList { ty: v1 });
+    let v1_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: v1 }]),
+    });
     let v = env.unifier.get_fresh_var_with_range(&[int, v1_list], None, None).ty;
     // unification between v and int
     // where v in (int, list[v1]), v1 in (int, bool)
@@ -424,9 +469,10 @@ fn test_typevar_range() {
     let v = env.unifier.get_fresh_var_with_range(&[int, v1_list], None, None).ty;
     // unification between v and list[float]
     // where v in (int, list[v1]), v1 in (int, bool)
+    println!("float_list: {}, v: {}", env.unifier.stringify(float_list), env.unifier.stringify(v));
     assert_eq!(
         env.unify(float_list, v),
-        Err("Expected any one of these types: 0, list[typevar5], but got list[1]\n\nNotes:\n    typevar5 ∈ {0, 2}".to_string())
+        Err("Expected any one of these types: 0, 11[typevar6], but got 11[1]\n\nNotes:\n    typevar6 ∈ {0, 2}".to_string())
     );
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
@@ -441,34 +487,66 @@ fn test_typevar_range() {
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
     let b = env.unifier.get_fresh_var_with_range(&[boolean, float], None, None).ty;
-    let a_list = env.unifier.add_ty(TypeEnum::TList { ty: a });
+    let a_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
     let a_list = env.unifier.get_fresh_var_with_range(&[a_list], None, None).ty;
-    let b_list = env.unifier.add_ty(TypeEnum::TList { ty: b });
+    let b_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: b }]),
+    });
     let b_list = env.unifier.get_fresh_var_with_range(&[b_list], None, None).ty;
     env.unifier.unify(a_list, b_list).unwrap();
-    let float_list = env.unifier.add_ty(TypeEnum::TList { ty: float });
+    let float_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: float }]),
+    });
     env.unifier.unify(a_list, float_list).unwrap();
     // previous unifications should not affect a and b
     env.unifier.unify(a, int).unwrap();
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
     let b = env.unifier.get_fresh_var_with_range(&[boolean, float], None, None).ty;
-    let a_list = env.unifier.add_ty(TypeEnum::TList { ty: a });
+    let a_list = env.unifier.add_ty(TypeEnum::TObj {
-    let b_list = env.unifier.add_ty(TypeEnum::TList { ty: b });
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
+    let b_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: b }]),
+    });
     env.unifier.unify(a_list, b_list).unwrap();
-    let int_list = env.unifier.add_ty(TypeEnum::TList { ty: int });
+    let int_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: int }]),
+    });
     assert_eq!(
         env.unify(a_list, int_list),
-        Err("Incompatible types: list[typevar22] and list[0]\
+        Err("Incompatible types: 11[typevar23] and 11[0]\
-            \n\nNotes:\n    typevar22 ∈ {1}"
+            \n\nNotes:\n    typevar23 ∈ {1}"
             .into())
     );
 
     let a = env.unifier.get_fresh_var_with_range(&[int, float], None, None).ty;
     let b = env.unifier.get_dummy_var().ty;
-    let a_list = env.unifier.add_ty(TypeEnum::TList { ty: a });
+    let a_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
     let a_list = env.unifier.get_fresh_var_with_range(&[a_list], None, None).ty;
-    let b_list = env.unifier.add_ty(TypeEnum::TList { ty: b });
+    let b_list = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: b }]),
+    });
     env.unifier.unify(a_list, b_list).unwrap();
     assert_eq!(
         env.unify(b, boolean),
@@ -482,16 +560,25 @@ fn test_rigid_var() {
     let a = env.unifier.get_fresh_rigid_var(None, None).ty;
     let b = env.unifier.get_fresh_rigid_var(None, None).ty;
     let x = env.unifier.get_dummy_var().ty;
-    let list_a = env.unifier.add_ty(TypeEnum::TList { ty: a });
+    let list_elem_tvar = env.unifier.get_fresh_var(Some("list_elem".into()), None);
-    let list_x = env.unifier.add_ty(TypeEnum::TList { ty: x });
+    let list_a = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: a }]),
+    });
+    let list_x = env.unifier.add_ty(TypeEnum::TObj {
+        obj_id: env.type_mapping["list"].obj_id(&env.unifier).unwrap(),
+        fields: Mapping::default(),
+        params: into_var_map([TypeVar { id: list_elem_tvar.id, ty: x }]),
+    });
     let int = env.parse("int", &HashMap::new());
     let list_int = env.parse("list[int]", &HashMap::new());
 
-    assert_eq!(env.unify(a, b), Err("Incompatible types: typevar3 and typevar2".to_string()));
+    assert_eq!(env.unify(a, b), Err("Incompatible types: typevar4 and typevar3".to_string()));
     env.unifier.unify(list_a, list_x).unwrap();
     assert_eq!(
         env.unify(list_x, list_int),
-        Err("Incompatible types: list[typevar2] and list[0]".to_string())
+        Err("Incompatible types: 11[typevar3] and 11[0]".to_string())
     );
 
     env.unifier.replace_rigid_var(a, int);
@@ -506,14 +593,25 @@ fn test_instantiation() {
     let float = env.parse("float", &HashMap::new());
     let list_int = env.parse("list[int]", &HashMap::new());
 
-    let obj_map: HashMap<_, _> = [(0usize, "int"), (1, "float"), (2, "bool")].into();
+    let list_elem_tvar = if let TypeEnum::TObj { params, .. } =
+        &*env.unifier.get_ty_immutable(env.type_mapping["list"])
+    {
+        iter_type_vars(params).next().unwrap()
+    } else {
+        unreachable!()
+    };
+
+    let obj_map: HashMap<_, _> = [(0usize, "int"), (1, "float"), (2, "bool"), (11, "list")].into();
 
     let v = env.unifier.get_fresh_var_with_range(&[int, boolean], None, None).ty;
-    let list_v = env.unifier.add_ty(TypeEnum::TList { ty: v });
+    let list_v = env
+        .unifier
+        .subst(env.type_mapping["list"], &into_var_map([TypeVar { id: list_elem_tvar.id, ty: v }]))
+        .unwrap();
     let v1 = env.unifier.get_fresh_var_with_range(&[list_v, int], None, None).ty;
     let v2 = env.unifier.get_fresh_var_with_range(&[list_int, float], None, None).ty;
     let t = env.unifier.get_dummy_var().ty;
-    let tuple = env.unifier.add_ty(TypeEnum::TTuple { ty: vec![v, v1, v2] });
+    let tuple = env.unifier.add_ty(TypeEnum::TTuple { ty: vec![v, v1, v2], is_vararg_ctx: false });
     let v3 = env.unifier.get_fresh_var_with_range(&[tuple, t], None, None).ty;
     // t = TypeVar('t')
     // v = TypeVar('v', int, bool)
@@ -536,7 +634,7 @@ fn test_instantiation() {
         tuple[int, list[bool], list[int]]
         tuple[int, list[int], float]
         tuple[int, list[int], list[int]]
-        v5"
+        v6"
     }
     .split('\n')
     .collect_vec();

nac3standalone/demo/check_demo.sh

@@ -3,23 +3,55 @@
 set -e
 
 if [ -z "$1" ]; then
-  echo "Requires at least one argument"
+    echo "No argument supplied"
     exit 1
 fi
 
 declare -a nac3args
+while [ $# -ge 2 ]; do
+  case "$1" in
+    --help)
+      echo "Usage: check_demo.sh [-i686] -- demo [NAC3ARGS...]"
+      exit
+      ;;
+    -i686)
+      i686=1
+      ;;
+    --)
+      shift
+      break
+      ;;
+    *)
+      break
+      ;;
+  esac
+  shift
+done
+
+demo="$1"
+shift
 while [ $# -gt 1 ]; do
   nac3args+=("$1")
   shift
 done
-demo="$1"
 
-echo -n "Checking $demo... "
+
+echo "### Checking $demo..."
+
+echo ">>>>>> Running $demo with the Python interpreter"
 ./interpret_demo.py "$demo" > interpreted.log
-./run_demo.sh --out run.log "${nac3args[@]}" "$demo"
-./run_demo.sh --lli --out run_lli.log "${nac3args[@]}" "$demo"
-diff -Nau interpreted.log run.log
-diff -Nau interpreted.log run_lli.log
-echo "ok"
 
-rm -f interpreted.log run.log run_lli.log
+if [ -n "$i686" ]; then
+  echo "...... Trying NAC3's 32-bit code generator output"
+  ./run_demo.sh -i686 --out run_32.log "${nac3args[@]}" "$demo"
+  diff -Nau interpreted.log run_32.log
+fi
+
+echo "...... Trying NAC3's 64-bit code generator output"
+./run_demo.sh --out run_64.log "${nac3args[@]}" "$demo"
+diff -Nau interpreted.log run_64.log
+
+echo "...... OK"
+
+rm -f interpreted.log \
+  run_32.log run_64.log

nac3standalone/demo/demo.c

@@ -6,8 +6,6 @@
 #include <stdlib.h>
 #include <string.h>
 
-#define usize size_t
-
 double dbl_nan(void) {
   return NAN;
 }
@@ -44,6 +42,15 @@ void output_float64(double x) {
     }
 }
 
+void output_range(int32_t range[3]) {
+    printf("range(");
+    printf("%d, %d", range[0], range[1]);
+    if (range[2] != 1) {
+        printf(", %d", range[2]);
+    }
+    puts(")");
+}
+
 void output_asciiart(int32_t x) {
     static const char *chars = " .,-:;i+hHM$*#@    ";
     if (x < 0) {
@@ -55,14 +62,14 @@ void output_asciiart(int32_t x) {
 
 struct cslice {
     void *data;
-    usize len;
+    size_t len;
 };
 
 void output_int32_list(struct cslice *slice) {
     const int32_t *data = (int32_t *) slice->data;
 
     putchar('[');
-    for (usize i = 0; i < slice->len; ++i) {
+    for (size_t i = 0; i < slice->len; ++i) {
         if (i == slice->len - 1) {
             printf("%d", data[i]);
         } else {
@@ -76,9 +83,13 @@ void output_int32_list(struct cslice *slice) {
 void output_str(struct cslice *slice) {
     const char *data = (const char *) slice->data;
 
-    for (usize i = 0; i < slice->len; ++i) {
+    for (size_t i = 0; i < slice->len; ++i) {
         putchar(data[i]);
     }
+}
+
+void output_strln(struct cslice *slice) {
+    output_str(slice);
     putchar('\n');
 }
 
@@ -94,8 +105,25 @@ uint32_t __nac3_personality(uint32_t state, uint32_t exception_object, uint32_t
     __builtin_unreachable();
 }
 
-uint32_t __nac3_raise(uint32_t state, uint32_t exception_object, uint32_t context) {
+// See `struct Exception<'a>` in
-    printf("__nac3_raise(state: %u, exception_object: %u, context: %u)\n", state, exception_object, context);
+// https://github.com/m-labs/artiq/blob/master/artiq/firmware/libeh/eh_artiq.rs
+struct Exception {
+    uint32_t id;
+    struct cslice file;
+    uint32_t line;
+    uint32_t column;
+    struct cslice function;
+    struct cslice message;
+    int64_t param[3];
+};
+
+uint32_t __nac3_raise(struct Exception* e) {
+    printf("__nac3_raise called. Exception details:\n");
+    printf("          ID: %"PRIu32"\n", e->id);
+    printf("    Location: %*s:%"PRIu32":%"PRIu32"\n" , (int) e->file.len, (const char*) e->file.data, e->line, e->column);
+    printf("    Function: %*s\n" , (int) e->function.len, (const char*) e->function.data);
+    printf("     Message: \"%*s\"\n" , (int) e->message.len, (const char*) e->message.data);
+    printf("      Params: {0}=%"PRId64", {1}=%"PRId64", {2}=%"PRId64"\n", e->param[0], e->param[1], e->param[2]);
     exit(101);
     __builtin_unreachable();
 }

nac3standalone/demo/interpret_demo.py

@@ -6,6 +6,7 @@ import importlib.machinery
 import math
 import numpy as np
 import numpy.typing as npt
+import scipy as sp
 import pathlib
 
 from numpy import int32, int64, uint32, uint64
@@ -107,6 +108,9 @@ def patch(module):
     def output_float(x):
         print("%f" % x)
 
+    def output_strln(x):
+        print(x, end='')
+
     def dbg_stack_address(_):
         return 0
 
@@ -120,6 +124,8 @@ def patch(module):
             return output_asciiart
         elif name == "output_float64":
             return output_float
+        elif name == "output_str":
+            return output_strln
         elif name in {
             "output_bool",
             "output_int32",
@@ -127,7 +133,8 @@ def patch(module):
             "output_int32_list",
             "output_uint32",
             "output_uint64",
-            "output_str",
+            "output_strln",
+            "output_range",
         }:
             return print
         elif name == "dbg_stack_address":
@@ -161,7 +168,7 @@ def patch(module):
     module.ceil64 = _ceil
     module.np_ceil = np.ceil
 
-    # NumPy ndarray functions
+    # NumPy NDArray factory functions
     module.ndarray = NDArray
     module.np_ndarray = np.ndarray
     module.np_empty = np.empty
@@ -177,8 +184,10 @@ def patch(module):
     module.np_isinf = np.isinf
     module.np_min = np.min
     module.np_minimum = np.minimum
+    module.np_argmin = np.argmin
     module.np_max = np.max
     module.np_maximum = np.maximum
+    module.np_argmax = np.argmax
     module.np_sin = np.sin
     module.np_cos = np.cos
     module.np_exp = np.exp
@@ -209,8 +218,10 @@ def patch(module):
     module.np_ldexp = np.ldexp
     module.np_hypot = np.hypot
     module.np_nextafter = np.nextafter
+    module.np_transpose = np.transpose
+    module.np_reshape = np.reshape
 
-    # SciPy Math Functions
+    # SciPy Math functions
     module.sp_spec_erf = special.erf
     module.sp_spec_erfc = special.erfc
     module.sp_spec_gamma = special.gamma
@@ -218,14 +229,19 @@ def patch(module):
     module.sp_spec_j0 = special.j0
     module.sp_spec_j1 = special.j1
 
-    # NumPy NDArray Functions
+    # Linalg functions
-    module.np_ndarray = np.ndarray
+    module.np_dot = np.dot
-    module.np_empty = np.empty
+    module.np_linalg_cholesky = np.linalg.cholesky
-    module.np_zeros = np.zeros
+    module.np_linalg_qr = np.linalg.qr
-    module.np_ones = np.ones
+    module.np_linalg_svd = np.linalg.svd
-    module.np_full = np.full
+    module.np_linalg_inv = np.linalg.inv
-    module.np_eye = np.eye
+    module.np_linalg_pinv = np.linalg.pinv
-    module.np_identity = np.identity
+    module.np_linalg_matrix_power = np.linalg.matrix_power
+    module.np_linalg_det = np.linalg.det
+    
+    module.sp_linalg_lu = lambda x: sp.linalg.lu(x, True)
+    module.sp_linalg_schur = sp.linalg.schur
+    module.sp_linalg_hessenberg = lambda x: sp.linalg.hessenberg(x, True)
 
 def file_import(filename, prefix="file_import_"):
     filename = pathlib.Path(filename)

nac3standalone/demo/linalg/Cargo.lock

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

nac3standalone/demo/linalg/Cargo.toml

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

nac3standalone/demo/linalg/src/lib.rs

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

nac3standalone/demo/run_demo.sh

@@ -2,6 +2,9 @@
 
 set -e
 
+: "${DEMO_LINALG_STUB:=linalg/target/release/liblinalg.a}"
+: "${DEMO_LINALG_STUB32:=linalg/target/i686-unknown-linux-gnu/release/liblinalg.a}"
+
 if [ -z "$1" ]; then
     echo "No argument supplied"
     exit 1
@@ -11,19 +14,19 @@ declare -a nac3args
 while [ $# -ge 1 ]; do
   case "$1" in
     --help)
-      echo "Usage: run_demo.sh [--help] [--out OUTFILE] [--lli] [--debug] -- [NAC3ARGS...]"
+      echo "Usage: run_demo.sh [--help] [--out OUTFILE] [--debug] [-i686] -- [NAC3ARGS...]"
       exit
       ;;
     --out)
       shift
       outfile="$1"
       ;;
-    --lli)
-      use_lli=1
-      ;;
     --debug)
       debug=1
       ;;
+    -i686)
+      i686=1
+      ;;
     --)
       shift
       break
@@ -50,29 +53,19 @@ else
 fi
 
 rm -f ./*.o ./*.bc demo
-if [ -z "$use_lli" ]; then
-  $nac3standalone "${nac3args[@]}"
 
+if [ -z "$i686" ]; then
+  $nac3standalone "${nac3args[@]}"
   clang -c -std=gnu11 -Wall -Wextra -O3 -o demo.o demo.c
-  clang -lm -o demo module.o demo.o
+  clang -o demo module.o demo.o $DEMO_LINALG_STUB -lm -Wl,--no-warn-search-mismatch
+else
+  $nac3standalone --triple i686-unknown-linux-gnu "${nac3args[@]}"
+  clang -m32 -c -std=gnu11 -Wall -Wextra -O3 -msse2 -o demo.o demo.c
+  clang -m32 -o demo module.o demo.o $DEMO_LINALG_STUB32 -lm -Wl,--no-warn-search-mismatch
+fi
 
 if [ -z "$outfile" ]; then
   ./demo
 else
   ./demo > "$outfile"
 fi
-else
-  $nac3standalone --emit-llvm "${nac3args[@]}"
-
-  clang -c -std=gnu11 -Wall -Wextra -O3 -emit-llvm -o demo.bc demo.c
-
-  shopt -s nullglob
-  llvm-link -o nac3out.bc module*.bc main.bc
-  shopt -u nullglob
-
-  if [ -z "$outfile" ]; then
-    lli --extra-module demo.bc --extra-module irrt.bc nac3out.bc
-  else
-    lli --extra-module demo.bc --extra-module irrt.bc nac3out.bc > "$outfile"
-  fi
-fi

nac3standalone/demo/src/assignment.py

@@ -0,0 +1,66 @@
+@extern
+def output_int32(x: int32):
+    ...
+
+@extern
+def output_bool(x: bool):
+    ...
+
+def example1():
+    x, *ys, z = (1, 2, 3, 4, 5)
+    output_int32(x)
+    output_int32(ys[0])
+    output_int32(ys[1])
+    output_int32(ys[2])
+    output_int32(z)
+
+def example2():
+    x, y, *zs = (1, 2, 3, 4, 5)
+    output_int32(x)
+    output_int32(y)
+    output_int32(zs[0])
+    output_int32(zs[1])
+    output_int32(zs[2])
+
+def example3():
+    *xs, y, z = (1, 2, 3, 4, 5)
+    output_int32(xs[0])
+    output_int32(xs[1])
+    output_int32(xs[2])
+    output_int32(y)
+    output_int32(z)
+
+def example4():
+    # Example from: https://docs.python.org/3/reference/simple_stmts.html#assignment-statements
+    x = [0, 1]
+    i = 0
+    i, x[i] = 1, 2 # i is updated, then x[i] is updated
+    output_int32(i)
+    output_int32(x[0])
+    output_int32(x[1])
+
+class A:
+    value: int32
+    def __init__(self):
+        self.value = 1000
+
+def example5():
+    ws = [88, 7, 8]
+    a = A()
+    x, [y, *ys, a.value], ws[0], (ws[0],) = 1, (2, False, 4, 5), 99, (6,)
+    output_int32(x)
+    output_int32(y)
+    output_bool(ys[0])
+    output_int32(ys[1])
+    output_int32(a.value)
+    output_int32(ws[0])
+    output_int32(ws[1])
+    output_int32(ws[2])
+
+def run() -> int32:
+    example1()
+    example2()
+    example3()
+    example4()
+    example5()
+    return 0

nac3standalone/demo/src/classes.py

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

nac3standalone/demo/src/demo_test.py

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

nac3standalone/demo/src/lists.py

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

nac3standalone/demo/src/loop_try_break.py

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

nac3standalone/demo/src/math.py

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

nac3standalone/demo/src/ndarray.py

@@ -867,6 +867,13 @@ def test_ndarray_minimum_broadcast_rhs_scalar():
     output_ndarray_float_2(min_x_zeros)
     output_ndarray_float_2(min_x_ones)
 
+def test_ndarray_argmin():
+    x = np_array([[1., 2.], [3., 4.]])
+    y = np_argmin(x)
+
+    output_ndarray_float_2(x)
+    output_int64(y)
+
 def test_ndarray_max():
     x = np_identity(2)
     y = np_max(x)
@@ -910,6 +917,13 @@ def test_ndarray_maximum_broadcast_rhs_scalar():
     output_ndarray_float_2(max_x_zeros)
     output_ndarray_float_2(max_x_ones)
 
+def test_ndarray_argmax():
+    x = np_array([[1., 2.], [3., 4.]])
+    y = np_argmax(x)
+
+    output_ndarray_float_2(x)
+    output_int64(y)
+
 def test_ndarray_abs():
     x = np_identity(2)
     y = abs(x)
@@ -1415,6 +1429,142 @@ def test_ndarray_nextafter_broadcast_rhs_scalar():
     output_ndarray_float_2(nextafter_x_zeros)
     output_ndarray_float_2(nextafter_x_ones)
 
+def test_ndarray_transpose():
+    x: ndarray[float, 2] = np_array([[1., 2., 3.], [4., 5., 6.]])
+    y = np_transpose(x)
+    z = np_transpose(y)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_reshape():
+    w: ndarray[float, 1] = np_array([1., 2., 3., 4., 5., 6., 7., 8., 9., 10.])
+    x = np_reshape(w, (1, 2, 1, -1))
+    y = np_reshape(x, [2, -1])
+    z = np_reshape(y, 10)
+
+    x1: ndarray[int32, 1] = np_array([1, 2, 3, 4])
+    x2: ndarray[int32, 2] = np_reshape(x1, (2, 2))
+
+    output_ndarray_float_1(w)
+    output_ndarray_float_2(y)
+    output_ndarray_float_1(z)
+
+def test_ndarray_dot():
+    x1: ndarray[float, 1] = np_array([5.0, 1.0, 4.0, 2.0])
+    y1: ndarray[float, 1] = np_array([5.0, 1.0, 6.0, 6.0])
+    z1 = np_dot(x1, y1)
+
+    x2: ndarray[int32, 1] = np_array([5, 1, 4, 2])
+    y2: ndarray[int32, 1] = np_array([5, 1, 6, 6])
+    z2 = np_dot(x2, y2)
+
+    x3: ndarray[bool, 1] = np_array([True, True, True, True])
+    y3: ndarray[bool, 1] = np_array([True, True, True, True])
+    z3 = np_dot(x3, y3)
+
+    z4 = np_dot(2, 3)
+    z5 = np_dot(2., 3.)
+    z6 = np_dot(True, False)
+
+    output_float64(z1)
+    output_int32(z2)
+    output_bool(z3)
+    output_int32(z4)
+    output_float64(z5)
+    output_bool(z6)
+
+def test_ndarray_cholesky():
+    x: ndarray[float, 2] = np_array([[5.0, 1.0], [1.0, 4.0]])
+    y = np_linalg_cholesky(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_qr():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y, z  = np_linalg_qr(x)
+
+    output_ndarray_float_2(x)
+
+    # QR Factorization is not unique and gives different results in numpy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = y @ z
+    output_ndarray_float_2(a)
+
+def test_ndarray_linalg_inv():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y = np_linalg_inv(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_pinv():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5]])
+    y = np_linalg_pinv(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_matrix_power():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y = np_linalg_matrix_power(x, -9)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(y)
+
+def test_ndarray_det():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    y = np_linalg_det(x)
+
+    output_ndarray_float_2(x)
+    output_float64(y)
+
+def test_ndarray_schur():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    t, z = sp_linalg_schur(x)
+
+    output_ndarray_float_2(x)
+
+    # Schur Factorization is not unique and gives different results in scipy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = (z @ t) @ np_linalg_inv(z)
+    output_ndarray_float_2(a)
+
+def test_ndarray_hessenberg():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 5.0, 8.5]])
+    h, q = sp_linalg_hessenberg(x)
+
+    output_ndarray_float_2(x)
+
+    # Hessenberg Factorization is not unique and gives different results in scipy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = (q @ h) @ np_linalg_inv(q)
+    output_ndarray_float_2(a)
+
+
+def test_ndarray_lu():
+    x: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5]])
+    l, u = sp_linalg_lu(x)
+
+    output_ndarray_float_2(x)
+    output_ndarray_float_2(l)
+    output_ndarray_float_2(u)
+
+
+def test_ndarray_svd():
+    w: ndarray[float, 2] = np_array([[-5.0, -1.0, 2.0], [-1.0, 4.0, 7.5], [-1.0, 8.0, -8.5]])
+    x, y, z = np_linalg_svd(w)
+
+    output_ndarray_float_2(w)
+
+    # SVD Factorization is not unique and gives different results in numpy and nalgebra
+    # Reverting the decomposition to compare the initial arrays
+    a = x @ z
+    output_ndarray_float_2(a)
+    output_ndarray_float_1(y)
+
+
 def run() -> int32:
     test_ndarray_ctor()
     test_ndarray_empty()
@@ -1524,11 +1674,13 @@ def run() -> int32:
     test_ndarray_minimum_broadcast()
     test_ndarray_minimum_broadcast_lhs_scalar()
     test_ndarray_minimum_broadcast_rhs_scalar()
+    test_ndarray_argmin()
     test_ndarray_max()
     test_ndarray_maximum()
     test_ndarray_maximum_broadcast()
     test_ndarray_maximum_broadcast_lhs_scalar()
     test_ndarray_maximum_broadcast_rhs_scalar()
+    test_ndarray_argmax()
     test_ndarray_abs()
     test_ndarray_isnan()
     test_ndarray_isinf()
@@ -1591,5 +1743,18 @@ def run() -> int32:
     test_ndarray_nextafter_broadcast()
     test_ndarray_nextafter_broadcast_lhs_scalar()
     test_ndarray_nextafter_broadcast_rhs_scalar()
+    test_ndarray_transpose()
+    test_ndarray_reshape()
     
+    test_ndarray_dot()
+    test_ndarray_cholesky()
+    test_ndarray_qr()
+    test_ndarray_svd()
+    test_ndarray_linalg_inv()
+    test_ndarray_pinv()
+    test_ndarray_matrix_power()
+    test_ndarray_det()
+    test_ndarray_lu()
+    test_ndarray_schur()
+    test_ndarray_hessenberg()
     return 0

nac3standalone/demo/src/vararg.py

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

nac3standalone/src/main.rs

@@ -9,15 +9,11 @@
 #![allow(clippy::too_many_lines, clippy::wildcard_imports)]
 
 use clap::Parser;
+use inkwell::context::Context;
 use inkwell::{
     memory_buffer::MemoryBuffer, passes::PassBuilderOptions, support::is_multithreaded, targets::*,
     OptimizationLevel,
 };
-use parking_lot::{Mutex, RwLock};
-use std::collections::HashSet;
-use std::num::NonZeroUsize;
-use std::{collections::HashMap, fs, path::Path, sync::Arc};
-
 use nac3core::{
     codegen::{
         concrete_type::ConcreteTypeStore, irrt::load_irrt, CodeGenLLVMOptions,
@@ -39,6 +35,10 @@ use nac3parser::{
     ast::{Constant, Expr, ExprKind, StmtKind, StrRef},
     parser,
 };
+use parking_lot::{Mutex, RwLock};
+use std::collections::HashSet;
+use std::num::NonZeroUsize;
+use std::{collections::HashMap, fs, path::Path, sync::Arc};
 
 mod basic_symbol_resolver;
 use basic_symbol_resolver::*;
@@ -113,7 +113,9 @@ fn handle_typevar_definition(
                         x,
                         HashMap::new(),
                     )?;
-                    get_type_from_type_annotation_kinds(def_list, unifier, &ty, &mut None)
+                    get_type_from_type_annotation_kinds(
+                        def_list, unifier, primitives, &ty, &mut None,
+                    )
                 })
                 .collect::<Result<Vec<_>, _>>()?;
             let loc = func.location;
@@ -152,7 +154,7 @@ fn handle_typevar_definition(
                 HashMap::new(),
             )?;
             let constraint =
-                get_type_from_type_annotation_kinds(def_list, unifier, &ty, &mut None)?;
+                get_type_from_type_annotation_kinds(def_list, unifier, primitives, &ty, &mut None)?;
             let loc = func.location;
 
             Ok(unifier.get_fresh_const_generic_var(constraint, Some(generic_name), Some(loc)).ty)
@@ -239,8 +241,6 @@ fn handle_assignment_pattern(
 }
 
 fn main() {
-    const SIZE_T: u32 = usize::BITS;
-
     let cli = CommandLineArgs::parse();
     let CommandLineArgs { file_name, threads, opt_level, emit_llvm, triple, mcpu, target_features } =
         cli;
@@ -273,6 +273,24 @@ fn main() {
         _ => OptimizationLevel::Aggressive,
     };
 
+    let target_machine_options = CodeGenTargetMachineOptions {
+        triple,
+        cpu: mcpu,
+        features: target_features,
+        reloc_mode: RelocMode::PIC,
+        ..host_target_machine
+    };
+
+    let size_t = Context::create()
+        .ptr_sized_int_type(
+            &target_machine_options
+                .create_target_machine(opt_level)
+                .map(|tm| tm.get_target_data())
+                .unwrap(),
+            None,
+        )
+        .get_bit_width();
+
     let program = match fs::read_to_string(file_name.clone()) {
         Ok(program) => program,
         Err(err) => {
@@ -281,9 +299,9 @@ fn main() {
         }
     };
 
-    let primitive: PrimitiveStore = TopLevelComposer::make_primitives(SIZE_T).0;
+    let primitive: PrimitiveStore = TopLevelComposer::make_primitives(size_t).0;
     let (mut composer, builtins_def, builtins_ty) =
-        TopLevelComposer::new(vec![], ComposerConfig::default(), SIZE_T);
+        TopLevelComposer::new(vec![], ComposerConfig::default(), size_t);
 
     let internal_resolver: Arc<ResolverInternal> = ResolverInternal {
         id_to_type: builtins_ty.into(),
@@ -371,16 +389,7 @@ fn main() {
         instance_to_stmt[""].clone()
     };
 
-    let llvm_options = CodeGenLLVMOptions {
+    let llvm_options = CodeGenLLVMOptions { opt_level, target: target_machine_options };
-        opt_level,
-        target: CodeGenTargetMachineOptions {
-            triple,
-            cpu: mcpu,
-            features: target_features,
-            reloc_mode: RelocMode::PIC,
-            ..host_target_machine
-        },
-    };
 
     let task = CodeGenTask {
         subst: Vec::default(),
@@ -403,7 +412,7 @@ fn main() {
         membuffer.lock().push(buffer);
     })));
     let threads = (0..threads)
-        .map(|i| Box::new(DefaultCodeGenerator::new(format!("module{i}"), SIZE_T)))
+        .map(|i| Box::new(DefaultCodeGenerator::new(format!("module{i}"), size_t)))
         .collect();
     let (registry, handles) = WorkerRegistry::create_workers(threads, top_level, &llvm_options, &f);
     registry.add_task(task);

nix/windows/msys2_packages.nix

@@ -1,15 +1,15 @@
 { pkgs } : [
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunwind-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunwind-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "0ksz7xz1lbwsmdr9sa1444k0dlfkbd8k11pq7w08ir7r1wjy6fid";
+  sha256 = "1v8zkfcbf1ga2ndpd1j0dwv5s1rassxs2b5pjhcsmqwjcvczba1m";
-  name = "mingw-w64-clang-x86_64-libunwind-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-libunwind-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libc++-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libc++-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "0r8skyjqv4cpkqif0niakx4hdpkscil1zf6mzj34pqna0j5gdnq2";
+  sha256 = "0mfd8wrmgx12j5gf354j7pk1l3lg9ykxvq75xdk3jipsr6hbn846";
-  name = "mingw-w64-clang-x86_64-libc++-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-libc++-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -31,9 +31,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-xz-5.6.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-xz-5.6.2-2-any.pkg.tar.zst";
-  sha256 = "14p4xxaxjjy6j1ingji82xhai1mc1gls5ali6z40fbb2ylxkaggs";
+  sha256 = "0phb9hwqksk1rg29yhwlc7si78zav19c2kac0i841pc7mc2n9gzx";
-  name = "mingw-w64-clang-x86_64-xz-5.6.1-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-xz-5.6.2-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -43,81 +43,81 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libxml2-2.12.6-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libxml2-2.12.8-1-any.pkg.tar.zst";
-  sha256 = "177b3rmsknqq6hf0zqwva71s3avh20ca7vzznp2ls2z5qm8vhhlp";
+  sha256 = "1imipb0dz4w6x4n9arn22imyzzcwdlf2cqxvn7irqq7w9by6fy0b";
-  name = "mingw-w64-clang-x86_64-libxml2-2.12.6-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-libxml2-2.12.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-zstd-1.5.5-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-zstd-1.5.6-2-any.pkg.tar.zst";
-  sha256 = "07739wmwgxf0d6db4p8w302a6jwcm01aafr1s8jvcl5k1h5a1m2m";
+  sha256 = "02cp5ci8w50k7xn38mpkwnr8sn898v18wcc07y8f9sfla7vcyfix";
-  name = "mingw-w64-clang-x86_64-zstd-1.5.5-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-zstd-1.5.6-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-libs-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-libs-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "0ibiy01v16naik9pj32ch7a9pkbw4yrn3gyq7p0y6kcc63fkjazy";
+  sha256 = "0rpbgvvinsqflhd3nhfxk0g0yy8j80zzw5yx6573ak0m78a9fa06";
-  name = "mingw-w64-clang-x86_64-llvm-libs-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-llvm-libs-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "1hcfz6nb6svmmcqzfrdi96az2x7mzj0cispdv2ssbgn7nkf19pi0";
+  sha256 = "185g5h8q3x3rav9lp2njln58ny2idh2067fd02j3nsbik6glshpf";
-  name = "mingw-w64-clang-x86_64-llvm-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-llvm-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-libs-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-libs-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "1k17d18g7rmq2ph4kq1mf84vs8133jzf52nkv6syh39ypjga67wa";
+  sha256 = "089hji3yd7wsd03v9mdfgc99l5k1dql8kg7p3hy13vrbgfsabxhc";
-  name = "mingw-w64-clang-x86_64-clang-libs-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-clang-libs-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-compiler-rt-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-compiler-rt-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "1w2j0vs888haz9shjr1l8dc4j957sk1p0377zzipkbqnzqwjf1z8";
+  sha256 = "1dwcxnv1k5ljim5ys4h1c3jlrdpi0054z094ynav7if65i8zjj4a";
-  name = "mingw-w64-clang-x86_64-compiler-rt-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-compiler-rt-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-headers-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-headers-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
-  sha256 = "18csfwlk2h9pr4411crx1b41qjzn5jgbssm3h109nzwbdizkp62h";
+  sha256 = "1h3cdcajz29iq7vja908kkijz1vb9xn0f7w1lw1ima0q0zhinv4q";
-  name = "mingw-w64-clang-x86_64-headers-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-headers-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-crt-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-crt-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
-  sha256 = "03l1zkrxgxxssp430xcv2gch1d03rbnbk1c0vgiqxigcs8lljh2g";
+  sha256 = "15kamyi3b0j6f5zxin4i2jgzjc7lzvwl4z5cz3dx0i8hg91aq0n7";
-  name = "mingw-w64-clang-x86_64-crt-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-crt-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-lld-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-lld-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "1ai4gl7ybpk9n10jmbpf3zzfa893m1krj5qhf44ajln0jabdfnbn";
+  sha256 = "1vpij5d06m4kjy3qv8bizwlkl21gcv6fv0r2f1j9bclgm6k3144x";
-  name = "mingw-w64-clang-x86_64-lld-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-lld-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libwinpthread-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libwinpthread-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
-  sha256 = "1svhjzwhvl4ldl439jhgfy47g05y2af1cjqvydgijn1dd4g8y8vq";
+  sha256 = "0qdvgs1rmjjhn9klf9kpw7l0ydz36rr5fasn4q9gpby2lgl11bkb";
-  name = "mingw-w64-clang-x86_64-libwinpthread-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-libwinpthread-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-winpthreads-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-winpthreads-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
-  sha256 = "0jxdhkl256vnr13xf1x3fyjrdf764zg70xcs3gki3rg109f0a6xk";
+  sha256 = "0rh2mn078cifcmr4as4k57jxjln5lbnsmpx47h9d0s5d2i8sf2rc";
-  name = "mingw-w64-clang-x86_64-winpthreads-git-11.0.0.r655.gdbfdf8025-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-winpthreads-git-12.0.0.r81.g90abf784a-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-clang-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "0ahfic7vdfv96k5v7fdkgk1agk28l833xjn2igrmbvqg96ak0w6n";
+  sha256 = "1qny934nv4g75k9gb5sf31v24bgafkg6qw7r35xv3in491w6annq";
-  name = "mingw-w64-clang-x86_64-clang-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-clang-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-c-ares-1.27.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-c-ares-1.29.0-1-any.pkg.tar.zst";
-  sha256 = "06y3sgqv6a0gr3dsbzs36jrj8adklssgjqi2ms5clsyq6ay4f91r";
+  sha256 = "01xg1h1a8kda0kq2921w25ybvm1ms7lfdzday0hv93f3myq7briq";
-  name = "mingw-w64-clang-x86_64-c-ares-1.27.0-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-c-ares-1.29.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -127,9 +127,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunistring-1.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libunistring-1.2-1-any.pkg.tar.zst";
-  sha256 = "16myvbg33q5s7jl30w5qd8n8f1r05335ms8r61234vn52n32l2c4";
+  sha256 = "13nz49li39z1zgfx1q9jg4vrmyrmqb6qdq0nqshidaqc6zr16k3g";
-  name = "mingw-w64-clang-x86_64-libunistring-1.1-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-libunistring-1.2-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -151,9 +151,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-p11-kit-0.25.3-2-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-p11-kit-0.25.5-1-any.pkg.tar.zst";
-  sha256 = "1jrwkc4lvw5hm5rqmi5gqh7mfkbqfa5gi81zjij0krnl0gaxw3c8";
+  sha256 = "00yz6cmr1ldlrskv811n345xcia88mj7w4fyx4m9z5848jxgsabd";
-  name = "mingw-w64-clang-x86_64-p11-kit-0.25.3-2-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-p11-kit-0.25.5-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -163,9 +163,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openssl-3.2.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openssl-3.3.1-1-any.pkg.tar.zst";
-  sha256 = "0ix2r4ll09m2z5vz2k94gmwfs0pp3ipvjdimwzx7v6xhcs2l25lz";
+  sha256 = "0ywhwm4kw3qjzv0872qwabnsq2rzbmqjb9m69q3fykjl0m9gigsa";
-  name = "mingw-w64-clang-x86_64-openssl-3.2.1-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-openssl-3.3.1-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -175,27 +175,33 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-nghttp2-1.60.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-nghttp2-1.61.0-2-any.pkg.tar.zst";
-  sha256 = "0wxw8266hf4qd2m4zpgb1wvlrnaksmcrs0kh5y9zpf2y5sy8f2bq";
+  sha256 = "07bkk98126gy4k6lb9rrqqnzjfz9j2rsr5dzr2djmzdkw0h4dr95";
-  name = "mingw-w64-clang-x86_64-nghttp2-1.60.0-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-nghttp2-1.61.0-2-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-curl-8.6.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-nghttp3-1.4.0-1-any.pkg.tar.zst";
-  sha256 = "1racc7cyzj22kink9w8m8jv73ji5hfg6r6d1ka9dqmvcbx04r8p0";
+  sha256 = "007w2252nzn274j4wjc1vf56xyzzh5vg3blj1hil7mlmffgvc923";
-  name = "mingw-w64-clang-x86_64-curl-8.6.0-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-nghttp3-1.4.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-rust-1.76.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-curl-8.8.0-10-any.pkg.tar.zst";
-  sha256 = "0ny3bvwvn5wmqrxzhdfw34akr0kj0m7rg9lg3w5yibqz2mkqhk11";
+  sha256 = "024z5b1achkf448gxqy1i3gcw371x54kfl6igv08b5wb3rrw35a4";
-  name = "mingw-w64-clang-x86_64-rust-1.76.0-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-curl-8.8.0-10-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-pkgconf-1~2.1.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-rust-1.79.0-1-any.pkg.tar.zst";
-  sha256 = "00kxqg9ds4q74lxrzjh8z0858smqbi1j9r06s0zjadsql0ln98cq";
+  sha256 = "0i7s88hj8m4920xifkj7i4b4sq8cqq7p5cypp3jqx3dc44pwm19a";
-  name = "mingw-w64-clang-x86_64-pkgconf-12.1.1-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-rust-1.79.0-1-any.pkg.tar.zst";
+})
+
+(pkgs.fetchurl {
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-pkgconf-1~2.2.0-1-any.pkg.tar.zst";
+  sha256 = "1y44ijg3y8p80f1yn9972nshrnyrd06a9sh984ajhxg8bi8s5xyl";
+  name = "mingw-w64-clang-x86_64-pkgconf-12.2.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -241,9 +247,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libarchive-3.7.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-libarchive-3.7.4-1-any.pkg.tar.zst";
-  sha256 = "1p84yh6yzkdpmr02vyvgz16x5gycckah25jkdc2py09l7iw96bmw";
+  sha256 = "1ykw6imllgxv6lsgwxx1miqjr4l1iryqkrj286jcbfrb8ghpzhv5";
-  name = "mingw-w64-clang-x86_64-libarchive-3.7.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-libarchive-3.7.4-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -253,9 +259,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-ninja-1.11.1-3-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-ninja-1.12.1-1-any.pkg.tar.zst";
-  sha256 = "13wjfmyfr952n3ydpldjlwx1nla5xpyvr96ng8pfbyw4z900v5ms";
+  sha256 = "1vj9qaa43v316daz8k4ricmz3f33nhjpj7r0vn979nwmy7hzs7jx";
-  name = "mingw-w64-clang-x86_64-ninja-1.11.1-3-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-ninja-1.12.1-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -265,9 +271,9 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-cmake-3.29.0-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-cmake-3.30.0-1-any.pkg.tar.zst";
-  sha256 = "0l79lf6zihn0k8hz93qnjnq259y45yq19235g9c444jc2w093si1";
+  sha256 = "07b7132hwhiqrf0l2lgw3g4zw9i2lln3kqc9kg2qijvkapbkmwqb";
-  name = "mingw-w64-clang-x86_64-cmake-3.29.0-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-cmake-3.30.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -301,15 +307,15 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-sqlite3-3.45.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-sqlite3-3.46.0-1-any.pkg.tar.zst";
-  sha256 = "1icvw3f08cgi94p0177i46v72wgpsxw95p6kd0sm2w3vj0qlqbcw";
+  sha256 = "0q676i2z5nr4c71jnd4z5qz9xa1xryl0cpi84w74yvd0p4qiz7y2";
-  name = "mingw-w64-clang-x86_64-sqlite3-3.45.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-sqlite3-3.46.0-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-tk-8.6.12-2-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-tk-8.6.13-1-any.pkg.tar.zst";
-  sha256 = "0pi74q91vl6vw8vvmmwnvrgai3b1aanp0zhca5qsmv8ljh2wdgzx";
+  sha256 = "12f6lqx1sglczcnz2ns6sxw9cxwm1klxajqzcrbnfwln1nllz2nd";
-  name = "mingw-w64-clang-x86_64-tk-8.6.12-2-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-tk-8.6.13-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -319,21 +325,21 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-3.11.8-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-3.11.9-1-any.pkg.tar.zst";
-  sha256 = "0djpf4k8s25nys6nrm2x2v134lcgzhhbjs37ihkg0b3sxmmc3b0p";
+  sha256 = "0ah1idjqxg7jc07a1gz9z766rjjd0f0c6ri4hpcsimsrbj1zjd3c";
-  name = "mingw-w64-clang-x86_64-python-3.11.8-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-python-3.11.9-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openmp-18.1.2-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-llvm-openmp-18.1.8-1-any.pkg.tar.zst";
-  sha256 = "1v9wm3ja3a7a7yna2bpqky481qf244wc98kfdl7l03k7rkvvydpl";
+  sha256 = "0cy2v0l4af24j34mzj5q5nlzcqhackfajlfj1rpf6mb3rbz23qw9";
-  name = "mingw-w64-clang-x86_64-openmp-18.1.2-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-llvm-openmp-18.1.8-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openblas-0.3.26-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-openblas-0.3.27-1-any.pkg.tar.zst";
-  sha256 = "0kdr72y5lc9dl9s1bjrw8g21qmv2iwd1xvn1r21170i277wsmqiv";
+  sha256 = "06ygz1wa488wqvmxbn74b0fyan4wf3lb6kbwfampgikd1gijww2k";
-  name = "mingw-w64-clang-x86_64-openblas-0.3.26-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-openblas-0.3.27-1-any.pkg.tar.zst";
 })
 
 (pkgs.fetchurl {
@@ -343,8 +349,8 @@
 })
 
 (pkgs.fetchurl {
-  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-setuptools-69.1.1-1-any.pkg.tar.zst";
+  url = "https://mirror.msys2.org/mingw/clang64/mingw-w64-clang-x86_64-python-setuptools-70.2.0-1-any.pkg.tar.zst";
-  sha256 = "1mc56anasj0v92nlg84m3pa7dbqgjakxw0b4ibqlrr9cq0xzsg4b";
+  sha256 = "1q4r9bg2hn3jmshvq81xm5zvy9wn35yf0z2ayksrkwph1zzdkvkm";
-  name = "mingw-w64-clang-x86_64-python-setuptools-69.1.1-1-any.pkg.tar.zst";
+  name = "mingw-w64-clang-x86_64-python-setuptools-70.2.0-1-any.pkg.tar.zst";
 })
 ]