From 902096c957edca8eb6731e51c0b2be920b5aeef2 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Mon, 6 Oct 2025 12:59:21 +0200
Subject: [PATCH 1/7] [use-math-not-float] Add a check for float(inf) and
 float(nan)

Co-authored-by: Morwenn <morwenn29@hotmail.fr>
---
 doc/data/messages/u/use-math-not-float/bad.py |  1 +
 .../messages/u/use-math-not-float/good.py     |  3 ++
 .../messages/u/use-math-not-float/pylintrc    |  2 ++
 doc/whatsnew/fragments/10621.new_check        |  7 ++++
 pylint/extensions/code_style.py               | 32 +++++++++++++++++--
 .../ext/code_style/cs_use_math_not_float.py   | 16 ++++++++++
 .../ext/code_style/cs_use_math_not_float.rc   |  3 ++
 .../ext/code_style/cs_use_math_not_float.txt  | 11 +++++++
 8 files changed, 73 insertions(+), 2 deletions(-)
 create mode 100644 doc/data/messages/u/use-math-not-float/bad.py
 create mode 100644 doc/data/messages/u/use-math-not-float/good.py
 create mode 100644 doc/data/messages/u/use-math-not-float/pylintrc
 create mode 100644 doc/whatsnew/fragments/10621.new_check
 create mode 100644 tests/functional/ext/code_style/cs_use_math_not_float.py
 create mode 100644 tests/functional/ext/code_style/cs_use_math_not_float.rc
 create mode 100644 tests/functional/ext/code_style/cs_use_math_not_float.txt

diff --git a/doc/data/messages/u/use-math-not-float/bad.py b/doc/data/messages/u/use-math-not-float/bad.py
new file mode 100644
index 0000000000..91cce1b15e
--- /dev/null
+++ b/doc/data/messages/u/use-math-not-float/bad.py
@@ -0,0 +1 @@
+swag = float("inf")  # [use-math-not-float]
diff --git a/doc/data/messages/u/use-math-not-float/good.py b/doc/data/messages/u/use-math-not-float/good.py
new file mode 100644
index 0000000000..711a0f3b90
--- /dev/null
+++ b/doc/data/messages/u/use-math-not-float/good.py
@@ -0,0 +1,3 @@
+import math
+
+swag = math.inf
diff --git a/doc/data/messages/u/use-math-not-float/pylintrc b/doc/data/messages/u/use-math-not-float/pylintrc
new file mode 100644
index 0000000000..8663ab085d
--- /dev/null
+++ b/doc/data/messages/u/use-math-not-float/pylintrc
@@ -0,0 +1,2 @@
+[MAIN]
+load-plugins=pylint.extensions.code_style
diff --git a/doc/whatsnew/fragments/10621.new_check b/doc/whatsnew/fragments/10621.new_check
new file mode 100644
index 0000000000..3d6f005e7b
--- /dev/null
+++ b/doc/whatsnew/fragments/10621.new_check
@@ -0,0 +1,7 @@
+Add a ``use-math-not-float`` message. float("nan") and float("inf") are slower
+than their counterpart ``math.inf`` and ``math.nan`` by a factor of 4 and they
+are also not well typed when using mypy.
+
+The :ref:`pylint.extensions.code_style` need to be activated for this check to work.
+
+Refs #10621
diff --git a/pylint/extensions/code_style.py b/pylint/extensions/code_style.py
index db80a2a2f1..7df76d498a 100644
--- a/pylint/extensions/code_style.py
+++ b/pylint/extensions/code_style.py
@@ -74,6 +74,13 @@ class CodeStyleChecker(BaseChecker):
                 "default_enabled": False,
             },
         ),
+        "R6106": (
+            "%smath.%s is preferable to %s",
+            "use-math-not-float",
+            "Using math.inf or math.nan permits to benefit from typing "
+            "and it is 4 time faster than a float call.\n"
+            "Requires 'import math' in the file.",
+        ),
     }
     options = (
         (
@@ -101,14 +108,35 @@ def open(self) -> None:
             or self.linter.config.max_line_length
         )
 
-    @only_required_for_messages("prefer-typing-namedtuple")
+    @only_required_for_messages("prefer-typing-namedtuple", "use-math-not-float")
     def visit_call(self, node: nodes.Call) -> None:
         if self._py36_plus:
             called = safe_infer(node.func)
-            if called and called.qname() == "collections.namedtuple":
+            if not called:
+                return
+            if called.qname() == "collections.namedtuple":
                 self.add_message(
                     "prefer-typing-namedtuple", node=node, confidence=INFERENCE
                 )
+            elif called.qname() == "builtins.float":
+                if (
+                    node.args
+                    and isinstance(node.args[0], nodes.Const)
+                    and isinstance(node.args[0].value, str)
+                    and any(
+                        c.isalpha() and c.lower() != "e" for c in node.args[0].value
+                    )
+                ):
+                    is_nan = "nan" in node.args[0].value.lower()
+                    minus = (
+                        "-" if not is_nan and node.args[0].value.startswith("-") else ""
+                    )
+                    self.add_message(
+                        "use-math-not-float",
+                        node=node,
+                        args=(minus, "nan" if is_nan else "inf", node.as_string()),
+                        confidence=INFERENCE,
+                    )
 
     @only_required_for_messages("consider-using-namedtuple-or-dataclass")
     def visit_dict(self, node: nodes.Dict) -> None:
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.py b/tests/functional/ext/code_style/cs_use_math_not_float.py
new file mode 100644
index 0000000000..25165b4c69
--- /dev/null
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.py
@@ -0,0 +1,16 @@
+"""Functional test for use-math-not-float."""
+
+inf_float = float("inf")  # [use-math-not-float]
+neg_inf_float = float('-inf')  # [use-math-not-float]
+pos_inf_float = float("+inf")  # [use-math-not-float]
+infinity_float = float("infinity")  # [use-math-not-float]
+neg_infinity_float = float("-infinity")  # [use-math-not-float]
+large_exp_float = float("1e1000")
+neg_large_exp_float = float("-1e1000")
+very_large_exp_float = float("2.5E9999")
+invalid_inf_float = float("in")  # [use-math-not-float]
+invalid_float_call = float("in", base=10)  # [use-math-not-float]
+nan_float = float("nan")  # [use-math-not-float]
+neg_nan_float = float("-nan")  # [use-math-not-float]
+pos_nan_float = float("+nan")  # [use-math-not-float]
+upper_nan_float = float("NaN")  # [use-math-not-float]
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.rc b/tests/functional/ext/code_style/cs_use_math_not_float.rc
new file mode 100644
index 0000000000..172b229d9c
--- /dev/null
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.rc
@@ -0,0 +1,3 @@
+[MAIN]
+load-plugins=pylint.extensions.code_style
+enable=use-math-not-float
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.txt b/tests/functional/ext/code_style/cs_use_math_not_float.txt
new file mode 100644
index 0000000000..508f4042b1
--- /dev/null
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.txt
@@ -0,0 +1,11 @@
+use-math-not-float:3:12:3:24::math.inf is preferable to float('inf'):INFERENCE
+use-math-not-float:4:16:4:29::-math.inf is preferable to float('-inf'):INFERENCE
+use-math-not-float:5:16:5:29::math.inf is preferable to float('+inf'):INFERENCE
+use-math-not-float:6:17:6:34::math.inf is preferable to float('infinity'):INFERENCE
+use-math-not-float:7:21:7:39::-math.inf is preferable to float('-infinity'):INFERENCE
+use-math-not-float:11:20:11:31::math.inf is preferable to float('in'):INFERENCE
+use-math-not-float:12:21:12:41::math.inf is preferable to float('in', base=10):INFERENCE
+use-math-not-float:13:12:13:24::math.nan is preferable to float('nan'):INFERENCE
+use-math-not-float:14:16:14:29::math.nan is preferable to float('-nan'):INFERENCE
+use-math-not-float:15:16:15:29::math.nan is preferable to float('+nan'):INFERENCE
+use-math-not-float:16:18:16:30::math.nan is preferable to float('NaN'):INFERENCE

From 4fa137576db496d04fdc9d191e5939538f4c33d7 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Mon, 6 Oct 2025 14:14:01 +0200
Subject: [PATCH 2/7] Take into account the limitation of the microbenchmark

---
 doc/user_guide/checkers/extensions.rst        | 3 +++
 doc/user_guide/checkers/features.rst          | 8 ++++----
 doc/user_guide/messages/messages_overview.rst | 1 +
 doc/whatsnew/fragments/10621.new_check        | 6 +++---
 pylint/extensions/code_style.py               | 4 ++--
 5 files changed, 13 insertions(+), 9 deletions(-)

diff --git a/doc/user_guide/checkers/extensions.rst b/doc/user_guide/checkers/extensions.rst
index 1ff270a6e4..512772d3c1 100644
--- a/doc/user_guide/checkers/extensions.rst
+++ b/doc/user_guide/checkers/extensions.rst
@@ -88,6 +88,9 @@ Code Style checker Messages
   'typing.NamedTuple' uses the well-known 'class' keyword with type-hints for
   readability (it's also faster as it avoids an internal exec call). Disabled
   by default!
+:use-math-not-float (R6106): *%smath.%s is preferable to %s*
+  Using math.inf or math.nan permits to benefit from typing and it is 4 time
+  faster than a float call (notwithstanding the initial import of math).
 
 
 .. _pylint.extensions.comparison_placement:
diff --git a/doc/user_guide/checkers/features.rst b/doc/user_guide/checkers/features.rst
index ef2424522d..8a4a2a4286 100644
--- a/doc/user_guide/checkers/features.rst
+++ b/doc/user_guide/checkers/features.rst
@@ -689,11 +689,11 @@ Match Statements checker Messages
 :invalid-match-args-definition (E1902): *`__match_args__` must be a tuple of strings.*
   Emitted if `__match_args__` isn't a tuple of strings required for match.
 :too-many-positional-sub-patterns (E1903): *%s expects %d positional sub-patterns (given %d)*
-  Emitted when the number of allowed positional sub-patterns exceeds the
-  number of allowed sub-patterns specified in `__match_args__`.
+  Emitted when the number of allowed positional sub-patterns exceeds the number
+  of allowed sub-patterns specified in `__match_args__`.
 :multiple-class-sub-patterns (E1904): *Multiple sub-patterns for attribute %s*
-  Emitted when there is more than one sub-pattern for a specific attribute in
-  a class pattern.
+  Emitted when there is more than one sub-pattern for a specific attribute in a
+  class pattern.
 :match-class-bind-self (R1905): *Use '%s() as %s' instead*
   Match class patterns are faster if the name binding happens for the whole
   pattern and any lookup for `__match_args__` can be avoided.
diff --git a/doc/user_guide/messages/messages_overview.rst b/doc/user_guide/messages/messages_overview.rst
index 5b1378474e..d429497d3c 100644
--- a/doc/user_guide/messages/messages_overview.rst
+++ b/doc/user_guide/messages/messages_overview.rst
@@ -559,6 +559,7 @@ All messages in the refactor category:
    refactor/use-a-generator
    refactor/use-dict-literal
    refactor/use-list-literal
+   refactor/use-math-not-float
    refactor/use-set-for-membership
    refactor/use-yield-from
    refactor/useless-object-inheritance
diff --git a/doc/whatsnew/fragments/10621.new_check b/doc/whatsnew/fragments/10621.new_check
index 3d6f005e7b..39958e19f7 100644
--- a/doc/whatsnew/fragments/10621.new_check
+++ b/doc/whatsnew/fragments/10621.new_check
@@ -1,6 +1,6 @@
-Add a ``use-math-not-float`` message. float("nan") and float("inf") are slower
-than their counterpart ``math.inf`` and ``math.nan`` by a factor of 4 and they
-are also not well typed when using mypy.
+Add a ``use-math-not-float`` message. ``float("nan")`` and ``float("inf")`` are slower
+than their counterpart ``math.inf`` and ``math.nan`` by a factor of 4 (notwithstanding
+the initial import of math) and they are also not well typed when using mypy.
 
 The :ref:`pylint.extensions.code_style` need to be activated for this check to work.
 
diff --git a/pylint/extensions/code_style.py b/pylint/extensions/code_style.py
index 7df76d498a..b4f27ca532 100644
--- a/pylint/extensions/code_style.py
+++ b/pylint/extensions/code_style.py
@@ -78,8 +78,8 @@ class CodeStyleChecker(BaseChecker):
             "%smath.%s is preferable to %s",
             "use-math-not-float",
             "Using math.inf or math.nan permits to benefit from typing "
-            "and it is 4 time faster than a float call.\n"
-            "Requires 'import math' in the file.",
+            "and it is 4 time faster than a float call (notwithstanding"
+            " the initial import of math).",
         ),
     }
     options = (

From bda3d3036af9e621b30361f418625e4ba3b65875 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Mon, 6 Oct 2025 15:58:23 +0200
Subject: [PATCH 3/7] Handle typo in float call more gracefully

---
 pylint/extensions/code_style.py                | 18 +++++++++++++-----
 .../ext/code_style/cs_use_math_not_float.py    |  2 ++
 .../ext/code_style/cs_use_math_not_float.txt   |  2 ++
 3 files changed, 17 insertions(+), 5 deletions(-)

diff --git a/pylint/extensions/code_style.py b/pylint/extensions/code_style.py
index b4f27ca532..9e6994ec6e 100644
--- a/pylint/extensions/code_style.py
+++ b/pylint/extensions/code_style.py
@@ -4,6 +4,7 @@
 
 from __future__ import annotations
 
+import difflib
 from typing import TYPE_CHECKING, TypeGuard, cast
 
 from astroid import nodes
@@ -127,14 +128,21 @@ def visit_call(self, node: nodes.Call) -> None:
                         c.isalpha() and c.lower() != "e" for c in node.args[0].value
                     )
                 ):
-                    is_nan = "nan" in node.args[0].value.lower()
-                    minus = (
-                        "-" if not is_nan and node.args[0].value.startswith("-") else ""
-                    )
+                    value = node.args[0].value.lower()
+                    math_call: str
+                    if "nan" in value:
+                        math_call = "nan"
+                    elif "inf" in value:
+                        math_call = "inf"
+                    else:
+                        math_call = difflib.get_close_matches(
+                            value, ["inf", "nan"], n=1, cutoff=0
+                        )[0]
+                    minus = "-" if math_call == "inf" and value.startswith("-") else ""
                     self.add_message(
                         "use-math-not-float",
                         node=node,
-                        args=(minus, "nan" if is_nan else "inf", node.as_string()),
+                        args=(minus, math_call, node.as_string()),
                         confidence=INFERENCE,
                     )
 
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.py b/tests/functional/ext/code_style/cs_use_math_not_float.py
index 25165b4c69..b61cd076d6 100644
--- a/tests/functional/ext/code_style/cs_use_math_not_float.py
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.py
@@ -14,3 +14,5 @@
 neg_nan_float = float("-nan")  # [use-math-not-float]
 pos_nan_float = float("+nan")  # [use-math-not-float]
 upper_nan_float = float("NaN")  # [use-math-not-float]
+typo_nan_float = float("nani")  # [use-math-not-float]
+other_typo_nan_float = float("nna")  # [use-math-not-float]
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.txt b/tests/functional/ext/code_style/cs_use_math_not_float.txt
index 508f4042b1..ab75164aef 100644
--- a/tests/functional/ext/code_style/cs_use_math_not_float.txt
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.txt
@@ -9,3 +9,5 @@ use-math-not-float:13:12:13:24::math.nan is preferable to float('nan'):INFERENCE
 use-math-not-float:14:16:14:29::math.nan is preferable to float('-nan'):INFERENCE
 use-math-not-float:15:16:15:29::math.nan is preferable to float('+nan'):INFERENCE
 use-math-not-float:16:18:16:30::math.nan is preferable to float('NaN'):INFERENCE
+use-math-not-float:17:17:17:30::math.nan is preferable to float('nani'):INFERENCE
+use-math-not-float:18:23:18:35::math.nan is preferable to float('nna'):INFERENCE

From d25b7fbe8cbbd0e5e630eec717142bfce6d20fe6 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Tue, 7 Oct 2025 09:34:20 +0200
Subject: [PATCH 4/7] Make the message less prescriptive as the import need to
 be taken into account

---
 .../messages/c/consider-math-not-float/bad.py |  1 +
 .../c/consider-math-not-float/details.rst     | 40 +++++++++++++++++++
 .../consider-math-not-float}/good.py          |  0
 .../consider-math-not-float}/pylintrc         |  0
 doc/data/messages/u/use-math-not-float/bad.py |  1 -
 doc/user_guide/checkers/extensions.rst        |  5 ++-
 doc/user_guide/messages/messages_overview.rst |  2 +-
 doc/whatsnew/fragments/10621.new_check        |  2 +-
 pylint/extensions/code_style.py               | 14 +++----
 .../ext/code_style/cs_use_math_not_float.py   | 28 ++++++-------
 .../ext/code_style/cs_use_math_not_float.rc   |  2 +-
 .../ext/code_style/cs_use_math_not_float.txt  | 26 ++++++------
 12 files changed, 81 insertions(+), 40 deletions(-)
 create mode 100644 doc/data/messages/c/consider-math-not-float/bad.py
 create mode 100644 doc/data/messages/c/consider-math-not-float/details.rst
 rename doc/data/messages/{u/use-math-not-float => c/consider-math-not-float}/good.py (100%)
 rename doc/data/messages/{u/use-math-not-float => c/consider-math-not-float}/pylintrc (100%)
 delete mode 100644 doc/data/messages/u/use-math-not-float/bad.py

diff --git a/doc/data/messages/c/consider-math-not-float/bad.py b/doc/data/messages/c/consider-math-not-float/bad.py
new file mode 100644
index 0000000000..6cab7399ea
--- /dev/null
+++ b/doc/data/messages/c/consider-math-not-float/bad.py
@@ -0,0 +1 @@
+swag = float("inf")  # [consider-math-not-float]
diff --git a/doc/data/messages/c/consider-math-not-float/details.rst b/doc/data/messages/c/consider-math-not-float/details.rst
new file mode 100644
index 0000000000..2e5e09c977
--- /dev/null
+++ b/doc/data/messages/c/consider-math-not-float/details.rst
@@ -0,0 +1,40 @@
+This is an extension check because the typing advantage could be fixed.
+
+Regarding performance, float("nan") and float("inf") are slower than their counterpart math.inf and math.nan by a factor of 4 after the initial import of math.
+
+.. code-block:: python
+
+    import math
+    import timeit
+
+    time_math_inf = timeit.timeit('math.nan', globals=globals(), number=10**8)
+    print(f'math.nan: {time_math_inf:.2f} seconds')
+
+    import timeit
+    time_inf_str = timeit.timeit('float("nan")', number=10**8)
+    print(f'float("nan"): {time_inf_str:.2f} seconds')
+
+Result::
+
+    math.nan: 1.24 seconds
+    float("nan"): 5.15 seconds
+
+But if we take the initial import into account it's worse.
+
+.. code-block:: python
+
+    import timeit
+
+    time_math_inf = timeit.timeit('import math;math.nan', globals=globals(), number=10**8)
+    print(f'math.nan: {time_math_inf:.2f} seconds')
+
+    import timeit
+    time_inf_str = timeit.timeit('float("nan")', number=10**8)
+    print(f'float("nan"): {time_inf_str:.2f} seconds')
+
+Result::
+
+    math.nan: 9.08 seconds
+    float("nan"): 5.33 seconds
+
+So the decision depends on how and how often you need to use it and what matter to you.
diff --git a/doc/data/messages/u/use-math-not-float/good.py b/doc/data/messages/c/consider-math-not-float/good.py
similarity index 100%
rename from doc/data/messages/u/use-math-not-float/good.py
rename to doc/data/messages/c/consider-math-not-float/good.py
diff --git a/doc/data/messages/u/use-math-not-float/pylintrc b/doc/data/messages/c/consider-math-not-float/pylintrc
similarity index 100%
rename from doc/data/messages/u/use-math-not-float/pylintrc
rename to doc/data/messages/c/consider-math-not-float/pylintrc
diff --git a/doc/data/messages/u/use-math-not-float/bad.py b/doc/data/messages/u/use-math-not-float/bad.py
deleted file mode 100644
index 91cce1b15e..0000000000
--- a/doc/data/messages/u/use-math-not-float/bad.py
+++ /dev/null
@@ -1 +0,0 @@
-swag = float("inf")  # [use-math-not-float]
diff --git a/doc/user_guide/checkers/extensions.rst b/doc/user_guide/checkers/extensions.rst
index 512772d3c1..a782a04bf6 100644
--- a/doc/user_guide/checkers/extensions.rst
+++ b/doc/user_guide/checkers/extensions.rst
@@ -88,9 +88,10 @@ Code Style checker Messages
   'typing.NamedTuple' uses the well-known 'class' keyword with type-hints for
   readability (it's also faster as it avoids an internal exec call). Disabled
   by default!
-:use-math-not-float (R6106): *%smath.%s is preferable to %s*
+:consider-math-not-float (R6106): *Consider %smath.%s instead of %s*
   Using math.inf or math.nan permits to benefit from typing and it is 4 time
-  faster than a float call (notwithstanding the initial import of math).
+  faster than a float call (after the initial import of math). This check also
+  catch typo in float calls as a side effect.
 
 
 .. _pylint.extensions.comparison_placement:
diff --git a/doc/user_guide/messages/messages_overview.rst b/doc/user_guide/messages/messages_overview.rst
index d429497d3c..87685835bb 100644
--- a/doc/user_guide/messages/messages_overview.rst
+++ b/doc/user_guide/messages/messages_overview.rst
@@ -491,6 +491,7 @@ All messages in the refactor category:
    refactor/condition-evals-to-constant
    refactor/confusing-consecutive-elif
    refactor/consider-alternative-union-syntax
+   refactor/consider-math-not-float
    refactor/consider-merging-isinstance
    refactor/consider-refactoring-into-while-condition
    refactor/consider-swap-variables
@@ -559,7 +560,6 @@ All messages in the refactor category:
    refactor/use-a-generator
    refactor/use-dict-literal
    refactor/use-list-literal
-   refactor/use-math-not-float
    refactor/use-set-for-membership
    refactor/use-yield-from
    refactor/useless-object-inheritance
diff --git a/doc/whatsnew/fragments/10621.new_check b/doc/whatsnew/fragments/10621.new_check
index 39958e19f7..24bafa9336 100644
--- a/doc/whatsnew/fragments/10621.new_check
+++ b/doc/whatsnew/fragments/10621.new_check
@@ -1,4 +1,4 @@
-Add a ``use-math-not-float`` message. ``float("nan")`` and ``float("inf")`` are slower
+Add a ``consider-math-not-float`` message. ``float("nan")`` and ``float("inf")`` are slower
 than their counterpart ``math.inf`` and ``math.nan`` by a factor of 4 (notwithstanding
 the initial import of math) and they are also not well typed when using mypy.
 
diff --git a/pylint/extensions/code_style.py b/pylint/extensions/code_style.py
index 9e6994ec6e..f348d00cbb 100644
--- a/pylint/extensions/code_style.py
+++ b/pylint/extensions/code_style.py
@@ -76,11 +76,11 @@ class CodeStyleChecker(BaseChecker):
             },
         ),
         "R6106": (
-            "%smath.%s is preferable to %s",
-            "use-math-not-float",
-            "Using math.inf or math.nan permits to benefit from typing "
-            "and it is 4 time faster than a float call (notwithstanding"
-            " the initial import of math).",
+            "Consider %smath.%s instead of %s",
+            "consider-math-not-float",
+            "Using math.inf or math.nan permits to benefit from typing and it is 4 "
+            "time faster than a float call (after the initial import of math). "
+            "This check also catch typo in float calls as a side effect.",
         ),
     }
     options = (
@@ -109,7 +109,7 @@ def open(self) -> None:
             or self.linter.config.max_line_length
         )
 
-    @only_required_for_messages("prefer-typing-namedtuple", "use-math-not-float")
+    @only_required_for_messages("prefer-typing-namedtuple", "consider-math-not-float")
     def visit_call(self, node: nodes.Call) -> None:
         if self._py36_plus:
             called = safe_infer(node.func)
@@ -140,7 +140,7 @@ def visit_call(self, node: nodes.Call) -> None:
                         )[0]
                     minus = "-" if math_call == "inf" and value.startswith("-") else ""
                     self.add_message(
-                        "use-math-not-float",
+                        "consider-math-not-float",
                         node=node,
                         args=(minus, math_call, node.as_string()),
                         confidence=INFERENCE,
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.py b/tests/functional/ext/code_style/cs_use_math_not_float.py
index b61cd076d6..e8ac8ab302 100644
--- a/tests/functional/ext/code_style/cs_use_math_not_float.py
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.py
@@ -1,18 +1,18 @@
-"""Functional test for use-math-not-float."""
+"""Functional test for consider-math-not-float."""
 
-inf_float = float("inf")  # [use-math-not-float]
-neg_inf_float = float('-inf')  # [use-math-not-float]
-pos_inf_float = float("+inf")  # [use-math-not-float]
-infinity_float = float("infinity")  # [use-math-not-float]
-neg_infinity_float = float("-infinity")  # [use-math-not-float]
+inf_float = float("inf")  # [consider-math-not-float]
+neg_inf_float = float('-inf')  # [consider-math-not-float]
+pos_inf_float = float("+inf")  # [consider-math-not-float]
+infinity_float = float("infinity")  # [consider-math-not-float]
+neg_infinity_float = float("-infinity")  # [consider-math-not-float]
 large_exp_float = float("1e1000")
 neg_large_exp_float = float("-1e1000")
 very_large_exp_float = float("2.5E9999")
-invalid_inf_float = float("in")  # [use-math-not-float]
-invalid_float_call = float("in", base=10)  # [use-math-not-float]
-nan_float = float("nan")  # [use-math-not-float]
-neg_nan_float = float("-nan")  # [use-math-not-float]
-pos_nan_float = float("+nan")  # [use-math-not-float]
-upper_nan_float = float("NaN")  # [use-math-not-float]
-typo_nan_float = float("nani")  # [use-math-not-float]
-other_typo_nan_float = float("nna")  # [use-math-not-float]
+invalid_inf_float = float("in")  # [consider-math-not-float]
+invalid_float_call = float("in", base=10)  # [consider-math-not-float]
+nan_float = float("nan")  # [consider-math-not-float]
+neg_nan_float = float("-nan")  # [consider-math-not-float]
+pos_nan_float = float("+nan")  # [consider-math-not-float]
+upper_nan_float = float("NaN")  # [consider-math-not-float]
+typo_nan_float = float("nani")  # [consider-math-not-float]
+other_typo_nan_float = float("nna")  # [consider-math-not-float]
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.rc b/tests/functional/ext/code_style/cs_use_math_not_float.rc
index 172b229d9c..5081401e9f 100644
--- a/tests/functional/ext/code_style/cs_use_math_not_float.rc
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.rc
@@ -1,3 +1,3 @@
 [MAIN]
 load-plugins=pylint.extensions.code_style
-enable=use-math-not-float
+enable=consider-math-not-float
diff --git a/tests/functional/ext/code_style/cs_use_math_not_float.txt b/tests/functional/ext/code_style/cs_use_math_not_float.txt
index ab75164aef..5d30d7e0b8 100644
--- a/tests/functional/ext/code_style/cs_use_math_not_float.txt
+++ b/tests/functional/ext/code_style/cs_use_math_not_float.txt
@@ -1,13 +1,13 @@
-use-math-not-float:3:12:3:24::math.inf is preferable to float('inf'):INFERENCE
-use-math-not-float:4:16:4:29::-math.inf is preferable to float('-inf'):INFERENCE
-use-math-not-float:5:16:5:29::math.inf is preferable to float('+inf'):INFERENCE
-use-math-not-float:6:17:6:34::math.inf is preferable to float('infinity'):INFERENCE
-use-math-not-float:7:21:7:39::-math.inf is preferable to float('-infinity'):INFERENCE
-use-math-not-float:11:20:11:31::math.inf is preferable to float('in'):INFERENCE
-use-math-not-float:12:21:12:41::math.inf is preferable to float('in', base=10):INFERENCE
-use-math-not-float:13:12:13:24::math.nan is preferable to float('nan'):INFERENCE
-use-math-not-float:14:16:14:29::math.nan is preferable to float('-nan'):INFERENCE
-use-math-not-float:15:16:15:29::math.nan is preferable to float('+nan'):INFERENCE
-use-math-not-float:16:18:16:30::math.nan is preferable to float('NaN'):INFERENCE
-use-math-not-float:17:17:17:30::math.nan is preferable to float('nani'):INFERENCE
-use-math-not-float:18:23:18:35::math.nan is preferable to float('nna'):INFERENCE
+consider-math-not-float:3:12:3:24::Consider math.inf instead of float('inf'):INFERENCE
+consider-math-not-float:4:16:4:29::Consider -math.inf instead of float('-inf'):INFERENCE
+consider-math-not-float:5:16:5:29::Consider math.inf instead of float('+inf'):INFERENCE
+consider-math-not-float:6:17:6:34::Consider math.inf instead of float('infinity'):INFERENCE
+consider-math-not-float:7:21:7:39::Consider -math.inf instead of float('-infinity'):INFERENCE
+consider-math-not-float:11:20:11:31::Consider math.inf instead of float('in'):INFERENCE
+consider-math-not-float:12:21:12:41::Consider math.inf instead of float('in', base=10):INFERENCE
+consider-math-not-float:13:12:13:24::Consider math.nan instead of float('nan'):INFERENCE
+consider-math-not-float:14:16:14:29::Consider math.nan instead of float('-nan'):INFERENCE
+consider-math-not-float:15:16:15:29::Consider math.nan instead of float('+nan'):INFERENCE
+consider-math-not-float:16:18:16:30::Consider math.nan instead of float('NaN'):INFERENCE
+consider-math-not-float:17:17:17:30::Consider math.nan instead of float('nani'):INFERENCE
+consider-math-not-float:18:23:18:35::Consider math.nan instead of float('nna'):INFERENCE

From 2cd4cdada81ce75f580a090cd1a591bd6a05b752 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Tue, 7 Oct 2025 10:32:01 +0200
Subject: [PATCH 5/7] Update doc/user_guide/checkers/extensions.rst

Co-authored-by: Morwenn <morwenn29@hotmail.fr>
---
 doc/user_guide/checkers/extensions.rst | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/doc/user_guide/checkers/extensions.rst b/doc/user_guide/checkers/extensions.rst
index a782a04bf6..250476cc7a 100644
--- a/doc/user_guide/checkers/extensions.rst
+++ b/doc/user_guide/checkers/extensions.rst
@@ -89,9 +89,9 @@ Code Style checker Messages
   readability (it's also faster as it avoids an internal exec call). Disabled
   by default!
 :consider-math-not-float (R6106): *Consider %smath.%s instead of %s*
-  Using math.inf or math.nan permits to benefit from typing and it is 4 time
+  Using math.inf or math.nan permits to benefit from typing and it is up to 4 times
   faster than a float call (after the initial import of math). This check also
-  catch typo in float calls as a side effect.
+  catches typos in float calls as a side effect.
 
 
 .. _pylint.extensions.comparison_placement:

From 38914dbd712faf789804b857ebb82b2ef0761056 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Tue, 7 Oct 2025 10:38:53 +0200
Subject: [PATCH 6/7] Upgrade doc / code following typos fix

---
 doc/user_guide/checkers/extensions.rst | 6 +++---
 pylint/extensions/code_style.py        | 6 +++---
 2 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/doc/user_guide/checkers/extensions.rst b/doc/user_guide/checkers/extensions.rst
index 250476cc7a..c9dead7ca3 100644
--- a/doc/user_guide/checkers/extensions.rst
+++ b/doc/user_guide/checkers/extensions.rst
@@ -89,9 +89,9 @@ Code Style checker Messages
   readability (it's also faster as it avoids an internal exec call). Disabled
   by default!
 :consider-math-not-float (R6106): *Consider %smath.%s instead of %s*
-  Using math.inf or math.nan permits to benefit from typing and it is up to 4 times
-  faster than a float call (after the initial import of math). This check also
-  catches typos in float calls as a side effect.
+  Using math.inf or math.nan permits to benefit from typing and it is up to 4
+  times faster than a float call (after the initial import of math). This check
+  also catches typos in float calls as a side effect.
 
 
 .. _pylint.extensions.comparison_placement:
diff --git a/pylint/extensions/code_style.py b/pylint/extensions/code_style.py
index f348d00cbb..d8ea869cb9 100644
--- a/pylint/extensions/code_style.py
+++ b/pylint/extensions/code_style.py
@@ -78,9 +78,9 @@ class CodeStyleChecker(BaseChecker):
         "R6106": (
             "Consider %smath.%s instead of %s",
             "consider-math-not-float",
-            "Using math.inf or math.nan permits to benefit from typing and it is 4 "
-            "time faster than a float call (after the initial import of math). "
-            "This check also catch typo in float calls as a side effect.",
+            "Using math.inf or math.nan permits to benefit from typing and it is up "
+            "to 4 times faster than a float call (after the initial import of math). "
+            "This check also catches typos in float calls as a side effect.",
         ),
     }
     options = (

From 3541b9912ed897d2f138aa1aa40634fe9fe59d54 Mon Sep 17 00:00:00 2001
From: Pierre Sassoulas <pierre.sassoulas@gmail.com>
Date: Tue, 7 Oct 2025 12:19:41 +0200
Subject: [PATCH 7/7] Update doc/whatsnew/fragments/10621.new_check

---
 doc/whatsnew/fragments/10621.new_check | 1 +
 1 file changed, 1 insertion(+)

diff --git a/doc/whatsnew/fragments/10621.new_check b/doc/whatsnew/fragments/10621.new_check
index 24bafa9336..85ecc32d1b 100644
--- a/doc/whatsnew/fragments/10621.new_check
+++ b/doc/whatsnew/fragments/10621.new_check
@@ -1,6 +1,7 @@
 Add a ``consider-math-not-float`` message. ``float("nan")`` and ``float("inf")`` are slower
 than their counterpart ``math.inf`` and ``math.nan`` by a factor of 4 (notwithstanding
 the initial import of math) and they are also not well typed when using mypy.
+This check also catches typos in float calls as a side effect.
 
 The :ref:`pylint.extensions.code_style` need to be activated for this check to work.