diff --git a/etc/function-definitions.json b/etc/function-definitions.json
new file mode 100644
index 000000000..4b10812c3
--- /dev/null
+++ b/etc/function-definitions.json
@@ -0,0 +1,764 @@
+{
+    "__comment": "Autogenerated by update-api-list.py. List of files that define a function with a given name. This file is checked in to make it obvious if refactoring breaks things",
+    "acos": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/acos.rs"
+        ],
+        "type": "f64"
+    },
+    "acosf": {
+        "sources": [
+            "src/math/acosf.rs"
+        ],
+        "type": "f32"
+    },
+    "acosh": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/acosh.rs"
+        ],
+        "type": "f64"
+    },
+    "acoshf": {
+        "sources": [
+            "src/math/acoshf.rs"
+        ],
+        "type": "f32"
+    },
+    "asin": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/asin.rs"
+        ],
+        "type": "f64"
+    },
+    "asinf": {
+        "sources": [
+            "src/math/asinf.rs"
+        ],
+        "type": "f32"
+    },
+    "asinh": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/asinh.rs"
+        ],
+        "type": "f64"
+    },
+    "asinhf": {
+        "sources": [
+            "src/math/asinhf.rs"
+        ],
+        "type": "f32"
+    },
+    "atan": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/atan.rs"
+        ],
+        "type": "f64"
+    },
+    "atan2": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/atan2.rs"
+        ],
+        "type": "f64"
+    },
+    "atan2f": {
+        "sources": [
+            "src/math/atan2f.rs"
+        ],
+        "type": "f32"
+    },
+    "atanf": {
+        "sources": [
+            "src/math/atanf.rs"
+        ],
+        "type": "f32"
+    },
+    "atanh": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/atanh.rs"
+        ],
+        "type": "f64"
+    },
+    "atanhf": {
+        "sources": [
+            "src/math/atanhf.rs"
+        ],
+        "type": "f32"
+    },
+    "cbrt": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/cbrt.rs"
+        ],
+        "type": "f64"
+    },
+    "cbrtf": {
+        "sources": [
+            "src/math/cbrtf.rs"
+        ],
+        "type": "f32"
+    },
+    "ceil": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/arch/i586.rs",
+            "src/math/arch/intrinsics.rs",
+            "src/math/ceil.rs"
+        ],
+        "type": "f64"
+    },
+    "ceilf": {
+        "sources": [
+            "src/math/arch/intrinsics.rs",
+            "src/math/ceilf.rs"
+        ],
+        "type": "f32"
+    },
+    "copysign": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/copysign.rs",
+            "src/math/generic/copysign.rs",
+            "src/math/support/float_traits.rs"
+        ],
+        "type": "f64"
+    },
+    "copysignf": {
+        "sources": [
+            "src/math/copysignf.rs",
+            "src/math/generic/copysign.rs"
+        ],
+        "type": "f32"
+    },
+    "cos": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/cos.rs"
+        ],
+        "type": "f64"
+    },
+    "cosf": {
+        "sources": [
+            "src/math/cosf.rs"
+        ],
+        "type": "f32"
+    },
+    "cosh": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/cosh.rs"
+        ],
+        "type": "f64"
+    },
+    "coshf": {
+        "sources": [
+            "src/math/coshf.rs"
+        ],
+        "type": "f32"
+    },
+    "erf": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/erf.rs"
+        ],
+        "type": "f64"
+    },
+    "erfc": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/erf.rs"
+        ],
+        "type": "f64"
+    },
+    "erfcf": {
+        "sources": [
+            "src/math/erff.rs"
+        ],
+        "type": "f32"
+    },
+    "erff": {
+        "sources": [
+            "src/math/erff.rs"
+        ],
+        "type": "f32"
+    },
+    "exp": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/exp.rs",
+            "src/math/support/float_traits.rs"
+        ],
+        "type": "f64"
+    },
+    "exp10": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/exp10.rs"
+        ],
+        "type": "f64"
+    },
+    "exp10f": {
+        "sources": [
+            "src/math/exp10f.rs"
+        ],
+        "type": "f32"
+    },
+    "exp2": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/exp2.rs"
+        ],
+        "type": "f64"
+    },
+    "exp2f": {
+        "sources": [
+            "src/math/exp2f.rs"
+        ],
+        "type": "f32"
+    },
+    "expf": {
+        "sources": [
+            "src/math/expf.rs"
+        ],
+        "type": "f32"
+    },
+    "expm1": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/expm1.rs"
+        ],
+        "type": "f64"
+    },
+    "expm1f": {
+        "sources": [
+            "src/math/expm1f.rs"
+        ],
+        "type": "f32"
+    },
+    "fabs": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/arch/intrinsics.rs",
+            "src/math/fabs.rs",
+            "src/math/generic/fabs.rs"
+        ],
+        "type": "f64"
+    },
+    "fabsf": {
+        "sources": [
+            "src/math/arch/intrinsics.rs",
+            "src/math/fabsf.rs",
+            "src/math/generic/fabs.rs"
+        ],
+        "type": "f32"
+    },
+    "fdim": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/fdim.rs"
+        ],
+        "type": "f64"
+    },
+    "fdimf": {
+        "sources": [
+            "src/math/fdimf.rs"
+        ],
+        "type": "f32"
+    },
+    "floor": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/arch/i586.rs",
+            "src/math/arch/intrinsics.rs",
+            "src/math/floor.rs"
+        ],
+        "type": "f64"
+    },
+    "floorf": {
+        "sources": [
+            "src/math/arch/intrinsics.rs",
+            "src/math/floorf.rs"
+        ],
+        "type": "f32"
+    },
+    "fma": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/fma.rs"
+        ],
+        "type": "f64"
+    },
+    "fmaf": {
+        "sources": [
+            "src/math/fmaf.rs"
+        ],
+        "type": "f32"
+    },
+    "fmax": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/fmax.rs"
+        ],
+        "type": "f64"
+    },
+    "fmaxf": {
+        "sources": [
+            "src/math/fmaxf.rs"
+        ],
+        "type": "f32"
+    },
+    "fmin": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/fmin.rs"
+        ],
+        "type": "f64"
+    },
+    "fminf": {
+        "sources": [
+            "src/math/fminf.rs"
+        ],
+        "type": "f32"
+    },
+    "fmod": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/fmod.rs"
+        ],
+        "type": "f64"
+    },
+    "fmodf": {
+        "sources": [
+            "src/math/fmodf.rs"
+        ],
+        "type": "f32"
+    },
+    "frexp": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/frexp.rs"
+        ],
+        "type": "f64"
+    },
+    "frexpf": {
+        "sources": [
+            "src/math/frexpf.rs"
+        ],
+        "type": "f32"
+    },
+    "hypot": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/hypot.rs"
+        ],
+        "type": "f64"
+    },
+    "hypotf": {
+        "sources": [
+            "src/math/hypotf.rs"
+        ],
+        "type": "f32"
+    },
+    "ilogb": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/ilogb.rs"
+        ],
+        "type": "f64"
+    },
+    "ilogbf": {
+        "sources": [
+            "src/math/ilogbf.rs"
+        ],
+        "type": "f32"
+    },
+    "j0": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/j0.rs"
+        ],
+        "type": "f64"
+    },
+    "j0f": {
+        "sources": [
+            "src/math/j0f.rs"
+        ],
+        "type": "f32"
+    },
+    "j1": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/j1.rs"
+        ],
+        "type": "f64"
+    },
+    "j1f": {
+        "sources": [
+            "src/math/j1f.rs"
+        ],
+        "type": "f32"
+    },
+    "jn": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/jn.rs"
+        ],
+        "type": "f64"
+    },
+    "jnf": {
+        "sources": [
+            "src/math/jnf.rs"
+        ],
+        "type": "f32"
+    },
+    "ldexp": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/ldexp.rs"
+        ],
+        "type": "f64"
+    },
+    "ldexpf": {
+        "sources": [
+            "src/math/ldexpf.rs"
+        ],
+        "type": "f32"
+    },
+    "lgamma": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/lgamma.rs"
+        ],
+        "type": "f64"
+    },
+    "lgamma_r": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/lgamma_r.rs"
+        ],
+        "type": "f64"
+    },
+    "lgammaf": {
+        "sources": [
+            "src/math/lgammaf.rs"
+        ],
+        "type": "f32"
+    },
+    "lgammaf_r": {
+        "sources": [
+            "src/math/lgammaf_r.rs"
+        ],
+        "type": "f32"
+    },
+    "log": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/log.rs"
+        ],
+        "type": "f64"
+    },
+    "log10": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/log10.rs"
+        ],
+        "type": "f64"
+    },
+    "log10f": {
+        "sources": [
+            "src/math/log10f.rs"
+        ],
+        "type": "f32"
+    },
+    "log1p": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/log1p.rs"
+        ],
+        "type": "f64"
+    },
+    "log1pf": {
+        "sources": [
+            "src/math/log1pf.rs"
+        ],
+        "type": "f32"
+    },
+    "log2": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/log2.rs"
+        ],
+        "type": "f64"
+    },
+    "log2f": {
+        "sources": [
+            "src/math/log2f.rs"
+        ],
+        "type": "f32"
+    },
+    "logf": {
+        "sources": [
+            "src/math/logf.rs"
+        ],
+        "type": "f32"
+    },
+    "modf": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/modf.rs"
+        ],
+        "type": "f64"
+    },
+    "modff": {
+        "sources": [
+            "src/math/modff.rs"
+        ],
+        "type": "f32"
+    },
+    "nextafter": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/nextafter.rs"
+        ],
+        "type": "f64"
+    },
+    "nextafterf": {
+        "sources": [
+            "src/math/nextafterf.rs"
+        ],
+        "type": "f32"
+    },
+    "pow": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/pow.rs"
+        ],
+        "type": "f64"
+    },
+    "powf": {
+        "sources": [
+            "src/math/powf.rs"
+        ],
+        "type": "f32"
+    },
+    "remainder": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/remainder.rs"
+        ],
+        "type": "f64"
+    },
+    "remainderf": {
+        "sources": [
+            "src/math/remainderf.rs"
+        ],
+        "type": "f32"
+    },
+    "remquo": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/remquo.rs"
+        ],
+        "type": "f64"
+    },
+    "remquof": {
+        "sources": [
+            "src/math/remquof.rs"
+        ],
+        "type": "f32"
+    },
+    "rint": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/rint.rs"
+        ],
+        "type": "f64"
+    },
+    "rintf": {
+        "sources": [
+            "src/math/rintf.rs"
+        ],
+        "type": "f32"
+    },
+    "round": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/round.rs"
+        ],
+        "type": "f64"
+    },
+    "roundf": {
+        "sources": [
+            "src/math/roundf.rs"
+        ],
+        "type": "f32"
+    },
+    "scalbn": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/scalbn.rs"
+        ],
+        "type": "f64"
+    },
+    "scalbnf": {
+        "sources": [
+            "src/math/scalbnf.rs"
+        ],
+        "type": "f32"
+    },
+    "sin": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/sin.rs"
+        ],
+        "type": "f64"
+    },
+    "sincos": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/sincos.rs"
+        ],
+        "type": "f64"
+    },
+    "sincosf": {
+        "sources": [
+            "src/math/sincosf.rs"
+        ],
+        "type": "f32"
+    },
+    "sinf": {
+        "sources": [
+            "src/math/sinf.rs"
+        ],
+        "type": "f32"
+    },
+    "sinh": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/sinh.rs"
+        ],
+        "type": "f64"
+    },
+    "sinhf": {
+        "sources": [
+            "src/math/sinhf.rs"
+        ],
+        "type": "f32"
+    },
+    "sqrt": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/arch/i686.rs",
+            "src/math/arch/intrinsics.rs",
+            "src/math/sqrt.rs"
+        ],
+        "type": "f64"
+    },
+    "sqrtf": {
+        "sources": [
+            "src/math/arch/i686.rs",
+            "src/math/arch/intrinsics.rs",
+            "src/math/sqrtf.rs"
+        ],
+        "type": "f32"
+    },
+    "tan": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/tan.rs"
+        ],
+        "type": "f64"
+    },
+    "tanf": {
+        "sources": [
+            "src/math/tanf.rs"
+        ],
+        "type": "f32"
+    },
+    "tanh": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/tanh.rs"
+        ],
+        "type": "f64"
+    },
+    "tanhf": {
+        "sources": [
+            "src/math/tanhf.rs"
+        ],
+        "type": "f32"
+    },
+    "tgamma": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/tgamma.rs"
+        ],
+        "type": "f64"
+    },
+    "tgammaf": {
+        "sources": [
+            "src/math/tgammaf.rs"
+        ],
+        "type": "f32"
+    },
+    "trunc": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/arch/intrinsics.rs",
+            "src/math/trunc.rs"
+        ],
+        "type": "f64"
+    },
+    "truncf": {
+        "sources": [
+            "src/math/arch/intrinsics.rs",
+            "src/math/truncf.rs"
+        ],
+        "type": "f32"
+    },
+    "y0": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/j0.rs"
+        ],
+        "type": "f64"
+    },
+    "y0f": {
+        "sources": [
+            "src/math/j0f.rs"
+        ],
+        "type": "f32"
+    },
+    "y1": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/j1.rs"
+        ],
+        "type": "f64"
+    },
+    "y1f": {
+        "sources": [
+            "src/math/j1f.rs"
+        ],
+        "type": "f32"
+    },
+    "yn": {
+        "sources": [
+            "src/libm_helper.rs",
+            "src/math/jn.rs"
+        ],
+        "type": "f64"
+    },
+    "ynf": {
+        "sources": [
+            "src/math/jnf.rs"
+        ],
+        "type": "f32"
+    }
+}
diff --git a/etc/update-api-list.py b/etc/update-api-list.py
index 7284a628c..a4587aa81 100755
--- a/etc/update-api-list.py
+++ b/etc/update-api-list.py
@@ -3,68 +3,166 @@
 functions are covered by our macros.
 """
 
+import difflib
 import json
 import subprocess as sp
 import sys
-import difflib
+from dataclasses import dataclass
+from glob import glob
 from pathlib import Path
-from typing import Any
+from typing import Any, TypeAlias
 
 ETC_DIR = Path(__file__).parent
 
+IndexTy: TypeAlias = dict[str, dict[str, Any]]
+"""Type of the `index` item in rustdoc's JSON output"""
 
-def get_rustdoc_json() -> dict[Any, Any]:
-    """Get rustdoc's JSON output for the `libm` crate."""
-
-    librs_path = ETC_DIR.joinpath("../src/lib.rs")
-    j = sp.check_output(
-        [
-            "rustdoc",
-            librs_path,
-            "--edition=2021",
-            "--output-format=json",
-            "-Zunstable-options",
-            "-o-",
-        ],
-        text=True,
-    )
-    j = json.loads(j)
-    return j
 
-
-def list_public_functions() -> list[str]:
-    """Get a list of public functions from rustdoc JSON output.
-
-    Note that this only finds functions that are reexported in `lib.rs`, this will
-    need to be adjusted if we need to account for functions that are defined there.
+@dataclass
+class Crate:
+    """Representation of public interfaces and function defintion locations in
+    `libm`.
     """
-    names = []
-    index: dict[str, dict[str, Any]] = get_rustdoc_json()["index"]
-    for item in index.values():
-        # Find public items
-        if item["visibility"] != "public":
-            continue
-
-        # Find only reexports
-        if "use" not in item["inner"].keys():
-            continue
 
-        # Locate the item that is reexported
-        id = item["inner"]["use"]["id"]
-        srcitem = index.get(str(id))
-
-        # External crate
-        if srcitem is None:
-            continue
-
-        # Skip if not a function
-        if "function" not in srcitem["inner"].keys():
-            continue
-
-        names.append(srcitem["name"])
-
-    names.sort()
-    return names
+    public_functions: list[str]
+    """List of all public functions."""
+    defs: dict[str, list[str]]
+    """Map from `name->[source files]` to find all places that define a public
+    function. We track this to know which tests need to be rerun when specific files
+    get updated.
+    """
+    types: dict[str, str]
+    """Map from `name->type`."""
+
+    def __init__(self) -> None:
+        self.public_functions = []
+        self.defs = {}
+        self.types = {}
+
+        j = self.get_rustdoc_json()
+        index: IndexTy = j["index"]
+        self._init_function_list(index)
+        self._init_defs(index)
+        self._init_types()
+
+    @staticmethod
+    def get_rustdoc_json() -> dict[Any, Any]:
+        """Get rustdoc's JSON output for the `libm` crate."""
+
+        j = sp.check_output(
+            [
+                "rustdoc",
+                "src/lib.rs",
+                "--edition=2021",
+                "--document-private-items",
+                "--output-format=json",
+                "-Zunstable-options",
+                "-o-",
+            ],
+            cwd=ETC_DIR.parent,
+            text=True,
+        )
+        j = json.loads(j)
+        return j
+
+    def _init_function_list(self, index: IndexTy) -> None:
+        """Get a list of public functions from rustdoc JSON output.
+
+        Note that this only finds functions that are reexported in `lib.rs`, this will
+        need to be adjusted if we need to account for functions that are defined there, or
+        glob reexports in other locations.
+        """
+        # Filter out items that are not public
+        public = [i for i in index.values() if i["visibility"] == "public"]
+
+        # Collect a list of source IDs for reexported items in `lib.rs` or `mod math`.
+        use = (i for i in public if "use" in i["inner"])
+        use = (
+            i for i in use if i["span"]["filename"] in ["src/math/mod.rs", "src/lib.rs"]
+        )
+        reexported_ids = [item["inner"]["use"]["id"] for item in use]
+
+        # Collect a list of reexported items that are functions
+        for id in reexported_ids:
+            srcitem = index.get(str(id))
+            # External crate
+            if srcitem is None:
+                continue
+
+            # Skip if not a function
+            if "function" not in srcitem["inner"]:
+                continue
+
+            self.public_functions.append(srcitem["name"])
+        self.public_functions.sort()
+
+    def _init_defs(self, index: IndexTy) -> None:
+        defs = {name: set() for name in self.public_functions}
+        funcs = (i for i in index.values() if "function" in i["inner"])
+        funcs = (f for f in funcs if f["name"] in self.public_functions)
+        for func in funcs:
+            defs[func["name"]].add(func["span"]["filename"])
+
+        # A lot of the `arch` module is often configured out so doesn't show up in docs. Use
+        # string matching as a fallback.
+        for fname in glob("src/math/arch/**.rs", root_dir=ETC_DIR.parent):
+            contents = Path(fname).read_text()
+
+            for name in self.public_functions:
+                if f"fn {name}" in contents:
+                    defs[name].add(fname)
+
+        for name, sources in defs.items():
+            base_sources = defs[base_name(name)[0]]
+            for src in (s for s in base_sources if "generic" in s):
+                sources.add(src)
+
+        # Sort the set
+        self.defs = {k: sorted(v) for (k, v) in defs.items()}
+
+    def _init_types(self) -> None:
+        self.types = {name: base_name(name)[1] for name in self.public_functions}
+
+    def write_function_list(self, check: bool) -> None:
+        """Collect the list of public functions to a simple text file."""
+        output = "# autogenerated by update-api-list.py\n"
+        for name in self.public_functions:
+            output += f"{name}\n"
+
+        out_file = ETC_DIR.joinpath("function-list.txt")
+
+        if check:
+            with open(out_file, "r") as f:
+                current = f.read()
+            diff_and_exit(current, output)
+        else:
+            with open(out_file, "w") as f:
+                f.write(output)
+
+    def write_function_defs(self, check: bool) -> None:
+        """Collect the list of information about public functions to a JSON file ."""
+        comment = (
+            "Autogenerated by update-api-list.py. "
+            "List of files that define a function with a given name. "
+            "This file is checked in to make it obvious if refactoring breaks things"
+        )
+
+        d = {"__comment": comment}
+        d |= {
+            name: {"sources": self.defs[name], "type": self.types[name]}
+            for name in self.public_functions
+        }
+
+        out_file = ETC_DIR.joinpath("function-definitions.json")
+        output = json.dumps(d, indent=4) + "\n"
+
+        if check:
+            with open(out_file, "r") as f:
+                current = f.read()
+            diff_and_exit(current, output)
+        else:
+            with open(out_file, "w") as f:
+                f.write(output)
 
 
 def diff_and_exit(actual: str, expected: str):
@@ -84,6 +182,35 @@ def diff_and_exit(actual: str, expected: str):
     exit(1)
 
 
+def base_name(name: str) -> tuple[str, str]:
+    """Return the basename and type from a full function name. Keep in sync with Rust's
+    `fn base_name`.
+    """
+    known_mappings = [
+        ("erff", ("erf", "f32")),
+        ("erf", ("erf", "f64")),
+        ("modff", ("modf", "f32")),
+        ("modf", ("modf", "f64")),
+        ("lgammaf_r", ("lgamma_r", "f32")),
+        ("lgamma_r", ("lgamma_r", "f64")),
+    ]
+
+    found = next((base for (full, base) in known_mappings if full == name), None)
+    if found is not None:
+        return found
+
+    if name.endswith("f"):
+        return (name.rstrip("f"), "f32")
+
+    if name.endswith("f16"):
+        return (name.rstrip("f16"), "f16")
+
+    if name.endswith("f128"):
+        return (name.rstrip("f128"), "f128")
+
+    return (name, "f64")
+
+
 def main():
     """By default overwrite the file. If `--check` is passed, print a diff instead and
     error if the files are different.
@@ -97,20 +224,9 @@ def main():
             print("unrecognized arguments")
             exit(1)
 
-    names = list_public_functions()
-    output = "# autogenerated by update-api-list.py\n"
-    for name in names:
-        output += f"{name}\n"
-
-    out_file = ETC_DIR.joinpath("function-list.txt")
-
-    if check:
-        with open(out_file, "r") as f:
-            current = f.read()
-        diff_and_exit(current, output)
-    else:
-        with open(out_file, "w") as f:
-            f.write(output)
+    crate = Crate()
+    crate.write_function_list(check)
+    crate.write_function_defs(check)
 
 
 if __name__ == "__main__":