format: apply cmake-format
diff --git a/tools/FindCatch.cmake b/tools/FindCatch.cmake
index ad4a4a5..ade66c7 100644
--- a/tools/FindCatch.cmake
+++ b/tools/FindCatch.cmake
@@ -19,9 +19,14 @@
 
 # Extract the version number from catch.hpp
 function(_get_catch_version)
-  file(STRINGS "${CATCH_INCLUDE_DIR}/catch.hpp" version_line REGEX "Catch v.*" LIMIT_COUNT 1)
+  file(
+    STRINGS "${CATCH_INCLUDE_DIR}/catch.hpp" version_line
+    REGEX "Catch v.*"
+    LIMIT_COUNT 1)
   if(version_line MATCHES "Catch v([0-9]+)\\.([0-9]+)\\.([0-9]+)")
-    set(CATCH_VERSION "${CMAKE_MATCH_1}.${CMAKE_MATCH_2}.${CMAKE_MATCH_3}" PARENT_SCOPE)
+    set(CATCH_VERSION
+        "${CMAKE_MATCH_1}.${CMAKE_MATCH_2}.${CMAKE_MATCH_3}"
+        PARENT_SCOPE)
   endif()
 endfunction()
 
@@ -34,11 +39,16 @@
   if(error)
     message(FATAL_ERROR "Could not download ${url}")
   endif()
-  set(CATCH_INCLUDE_DIR "${destination_dir}" CACHE INTERNAL "")
+  set(CATCH_INCLUDE_DIR
+      "${destination_dir}"
+      CACHE INTERNAL "")
 endfunction()
 
 # Look for catch locally
-find_path(CATCH_INCLUDE_DIR NAMES catch.hpp PATH_SUFFIXES catch2)
+find_path(
+  CATCH_INCLUDE_DIR
+  NAMES catch.hpp
+  PATH_SUFFIXES catch2)
 if(CATCH_INCLUDE_DIR)
   _get_catch_version()
 endif()
diff --git a/tools/FindEigen3.cmake b/tools/FindEigen3.cmake
index 66ffe8e..98ab43d 100644
--- a/tools/FindEigen3.cmake
+++ b/tools/FindEigen3.cmake
@@ -26,17 +26,21 @@
     set(Eigen3_FIND_VERSION_PATCH 0)
   endif(NOT Eigen3_FIND_VERSION_PATCH)
 
-  set(Eigen3_FIND_VERSION "${Eigen3_FIND_VERSION_MAJOR}.${Eigen3_FIND_VERSION_MINOR}.${Eigen3_FIND_VERSION_PATCH}")
+  set(Eigen3_FIND_VERSION
+      "${Eigen3_FIND_VERSION_MAJOR}.${Eigen3_FIND_VERSION_MINOR}.${Eigen3_FIND_VERSION_PATCH}")
 endif(NOT Eigen3_FIND_VERSION)
 
 macro(_eigen3_check_version)
   file(READ "${EIGEN3_INCLUDE_DIR}/Eigen/src/Core/util/Macros.h" _eigen3_version_header)
 
-  string(REGEX MATCH "define[ \t]+EIGEN_WORLD_VERSION[ \t]+([0-9]+)" _eigen3_world_version_match "${_eigen3_version_header}")
+  string(REGEX MATCH "define[ \t]+EIGEN_WORLD_VERSION[ \t]+([0-9]+)" _eigen3_world_version_match
+               "${_eigen3_version_header}")
   set(EIGEN3_WORLD_VERSION "${CMAKE_MATCH_1}")
-  string(REGEX MATCH "define[ \t]+EIGEN_MAJOR_VERSION[ \t]+([0-9]+)" _eigen3_major_version_match "${_eigen3_version_header}")
+  string(REGEX MATCH "define[ \t]+EIGEN_MAJOR_VERSION[ \t]+([0-9]+)" _eigen3_major_version_match
+               "${_eigen3_version_header}")
   set(EIGEN3_MAJOR_VERSION "${CMAKE_MATCH_1}")
-  string(REGEX MATCH "define[ \t]+EIGEN_MINOR_VERSION[ \t]+([0-9]+)" _eigen3_minor_version_match "${_eigen3_version_header}")
+  string(REGEX MATCH "define[ \t]+EIGEN_MINOR_VERSION[ \t]+([0-9]+)" _eigen3_minor_version_match
+               "${_eigen3_version_header}")
   set(EIGEN3_MINOR_VERSION "${CMAKE_MATCH_1}")
 
   set(EIGEN3_VERSION ${EIGEN3_WORLD_VERSION}.${EIGEN3_MAJOR_VERSION}.${EIGEN3_MINOR_VERSION})
@@ -53,20 +57,19 @@
   endif(NOT EIGEN3_VERSION_OK)
 endmacro(_eigen3_check_version)
 
-if (EIGEN3_INCLUDE_DIR)
+if(EIGEN3_INCLUDE_DIR)
 
   # in cache already
   _eigen3_check_version()
   set(EIGEN3_FOUND ${EIGEN3_VERSION_OK})
 
-else (EIGEN3_INCLUDE_DIR)
+else(EIGEN3_INCLUDE_DIR)
 
-  find_path(EIGEN3_INCLUDE_DIR NAMES signature_of_eigen3_matrix_library
-      PATHS
-      ${CMAKE_INSTALL_PREFIX}/include
-      ${KDE4_INCLUDE_DIR}
-      PATH_SUFFIXES eigen3 eigen
-    )
+  find_path(
+    EIGEN3_INCLUDE_DIR
+    NAMES signature_of_eigen3_matrix_library
+    PATHS ${CMAKE_INSTALL_PREFIX}/include ${KDE4_INCLUDE_DIR}
+    PATH_SUFFIXES eigen3 eigen)
 
   if(EIGEN3_INCLUDE_DIR)
     _eigen3_check_version()
diff --git a/tools/FindPythonLibsNew.cmake b/tools/FindPythonLibsNew.cmake
index 994bb1e..cf2a13f 100644
--- a/tools/FindPythonLibsNew.cmake
+++ b/tools/FindPythonLibsNew.cmake
@@ -52,23 +52,23 @@
 
 # Checking for the extension makes sure that `LibsNew` was found and not just `Libs`.
 if(PYTHONLIBS_FOUND AND PYTHON_MODULE_EXTENSION)
-    return()
+  return()
 endif()
 
 # Use the Python interpreter to find the libs.
 if(NOT PythonLibsNew_FIND_VERSION)
-    set(PythonLibsNew_FIND_VERSION "")
+  set(PythonLibsNew_FIND_VERSION "")
 endif()
 if(PythonLibsNew_FIND_REQUIRED)
-    find_package(PythonInterp ${PythonLibsNew_FIND_VERSION} REQUIRED)
+  find_package(PythonInterp ${PythonLibsNew_FIND_VERSION} REQUIRED)
 else()
-    find_package(PythonInterp ${PythonLibsNew_FIND_VERSION})
+  find_package(PythonInterp ${PythonLibsNew_FIND_VERSION})
 endif()
 
 if(NOT PYTHONINTERP_FOUND)
-    set(PYTHONLIBS_FOUND FALSE)
-    set(PythonLibsNew_FOUND FALSE)
-    return()
+  set(PYTHONLIBS_FOUND FALSE)
+  set(PythonLibsNew_FOUND FALSE)
+  return()
 endif()
 
 # According to http://stackoverflow.com/questions/646518/python-how-to-detect-debug-interpreter
@@ -77,8 +77,9 @@
 #
 # The library suffix is from the config var LDVERSION sometimes, otherwise
 # VERSION. VERSION will typically be like "2.7" on unix, and "27" on windows.
-execute_process(COMMAND "${PYTHON_EXECUTABLE}" "-c"
-    "from distutils import sysconfig as s;import sys;import struct;
+execute_process(
+  COMMAND
+    "${PYTHON_EXECUTABLE}" "-c" "from distutils import sysconfig as s;import sys;import struct;
 print('.'.join(str(v) for v in sys.version_info));
 print(sys.prefix);
 print(s.get_python_inc(plat_specific=True));
@@ -90,23 +91,22 @@
 print(s.get_config_var('LIBDIR') or '');
 print(s.get_config_var('MULTIARCH') or '');
 "
-    RESULT_VARIABLE _PYTHON_SUCCESS
-    OUTPUT_VARIABLE _PYTHON_VALUES
-    ERROR_VARIABLE _PYTHON_ERROR_VALUE)
+  RESULT_VARIABLE _PYTHON_SUCCESS
+  OUTPUT_VARIABLE _PYTHON_VALUES
+  ERROR_VARIABLE _PYTHON_ERROR_VALUE)
 
 if(NOT _PYTHON_SUCCESS MATCHES 0)
-    if(PythonLibsNew_FIND_REQUIRED)
-        message(FATAL_ERROR
-            "Python config failure:\n${_PYTHON_ERROR_VALUE}")
-    endif()
-    set(PYTHONLIBS_FOUND FALSE)
-    set(PythonLibsNew_FOUND FALSE)
-    return()
+  if(PythonLibsNew_FIND_REQUIRED)
+    message(FATAL_ERROR "Python config failure:\n${_PYTHON_ERROR_VALUE}")
+  endif()
+  set(PYTHONLIBS_FOUND FALSE)
+  set(PythonLibsNew_FOUND FALSE)
+  return()
 endif()
 
 # Convert the process output into a list
 if(WIN32)
-    string(REGEX REPLACE "\\\\" "/" _PYTHON_VALUES ${_PYTHON_VALUES})
+  string(REGEX REPLACE "\\\\" "/" _PYTHON_VALUES ${_PYTHON_VALUES})
 endif()
 string(REGEX REPLACE ";" "\\\\;" _PYTHON_VALUES ${_PYTHON_VALUES})
 string(REGEX REPLACE "\n" ";" _PYTHON_VALUES ${_PYTHON_VALUES})
@@ -124,16 +124,15 @@
 # Make sure the Python has the same pointer-size as the chosen compiler
 # Skip if CMAKE_SIZEOF_VOID_P is not defined
 if(CMAKE_SIZEOF_VOID_P AND (NOT "${PYTHON_SIZEOF_VOID_P}" STREQUAL "${CMAKE_SIZEOF_VOID_P}"))
-    if(PythonLibsNew_FIND_REQUIRED)
-        math(EXPR _PYTHON_BITS "${PYTHON_SIZEOF_VOID_P} * 8")
-        math(EXPR _CMAKE_BITS "${CMAKE_SIZEOF_VOID_P} * 8")
-        message(FATAL_ERROR
-            "Python config failure: Python is ${_PYTHON_BITS}-bit, "
-            "chosen compiler is  ${_CMAKE_BITS}-bit")
-    endif()
-    set(PYTHONLIBS_FOUND FALSE)
-    set(PythonLibsNew_FOUND FALSE)
-    return()
+  if(PythonLibsNew_FIND_REQUIRED)
+    math(EXPR _PYTHON_BITS "${PYTHON_SIZEOF_VOID_P} * 8")
+    math(EXPR _CMAKE_BITS "${CMAKE_SIZEOF_VOID_P} * 8")
+    message(FATAL_ERROR "Python config failure: Python is ${_PYTHON_BITS}-bit, "
+                        "chosen compiler is  ${_CMAKE_BITS}-bit")
+  endif()
+  set(PYTHONLIBS_FOUND FALSE)
+  set(PythonLibsNew_FOUND FALSE)
+  return()
 endif()
 
 # The built-in FindPython didn't always give the version numbers
@@ -148,79 +147,76 @@
 string(REGEX REPLACE "\\\\" "/" PYTHON_SITE_PACKAGES "${PYTHON_SITE_PACKAGES}")
 
 if(CMAKE_HOST_WIN32)
-    set(PYTHON_LIBRARY
-        "${PYTHON_PREFIX}/libs/python${PYTHON_LIBRARY_SUFFIX}.lib")
+  set(PYTHON_LIBRARY "${PYTHON_PREFIX}/libs/python${PYTHON_LIBRARY_SUFFIX}.lib")
 
-    # when run in a venv, PYTHON_PREFIX points to it. But the libraries remain in the
-    # original python installation. They may be found relative to PYTHON_INCLUDE_DIR.
-    if(NOT EXISTS "${PYTHON_LIBRARY}")
-        get_filename_component(_PYTHON_ROOT ${PYTHON_INCLUDE_DIR} DIRECTORY)
-        set(PYTHON_LIBRARY
-            "${_PYTHON_ROOT}/libs/python${PYTHON_LIBRARY_SUFFIX}.lib")
-    endif()
+  # when run in a venv, PYTHON_PREFIX points to it. But the libraries remain in the
+  # original python installation. They may be found relative to PYTHON_INCLUDE_DIR.
+  if(NOT EXISTS "${PYTHON_LIBRARY}")
+    get_filename_component(_PYTHON_ROOT ${PYTHON_INCLUDE_DIR} DIRECTORY)
+    set(PYTHON_LIBRARY "${_PYTHON_ROOT}/libs/python${PYTHON_LIBRARY_SUFFIX}.lib")
+  endif()
 
-    # if we are in MSYS & MINGW, and we didn't find windows python lib, look for system python lib
-    if(DEFINED ENV{MSYSTEM} AND MINGW AND NOT EXISTS "${PYTHON_LIBRARY}")
-        if(PYTHON_MULTIARCH)
-            set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}/${PYTHON_MULTIARCH}" "${PYTHON_LIBDIR}")
-        else()
-            set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}")
-        endif()
-        unset(PYTHON_LIBRARY)
-        find_library(PYTHON_LIBRARY
-            NAMES "python${PYTHON_LIBRARY_SUFFIX}"
-            PATHS ${_PYTHON_LIBS_SEARCH}
-            NO_DEFAULT_PATH)
+  # if we are in MSYS & MINGW, and we didn't find windows python lib, look for system python lib
+  if(DEFINED ENV{MSYSTEM}
+     AND MINGW
+     AND NOT EXISTS "${PYTHON_LIBRARY}")
+    if(PYTHON_MULTIARCH)
+      set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}/${PYTHON_MULTIARCH}" "${PYTHON_LIBDIR}")
+    else()
+      set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}")
     endif()
+    unset(PYTHON_LIBRARY)
+    find_library(
+      PYTHON_LIBRARY
+      NAMES "python${PYTHON_LIBRARY_SUFFIX}"
+      PATHS ${_PYTHON_LIBS_SEARCH}
+      NO_DEFAULT_PATH)
+  endif()
 
-    # raise an error if the python libs are still not found.
-    if(NOT EXISTS "${PYTHON_LIBRARY}")
-        message(FATAL_ERROR "Python libraries not found")
-    endif()
+  # raise an error if the python libs are still not found.
+  if(NOT EXISTS "${PYTHON_LIBRARY}")
+    message(FATAL_ERROR "Python libraries not found")
+  endif()
 
 else()
-    if(PYTHON_MULTIARCH)
-        set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}/${PYTHON_MULTIARCH}" "${PYTHON_LIBDIR}")
-    else()
-        set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}")
-    endif()
-    #message(STATUS "Searching for Python libs in ${_PYTHON_LIBS_SEARCH}")
-    # Probably this needs to be more involved. It would be nice if the config
-    # information the python interpreter itself gave us were more complete.
-    find_library(PYTHON_LIBRARY
-        NAMES "python${PYTHON_LIBRARY_SUFFIX}"
-        PATHS ${_PYTHON_LIBS_SEARCH}
-        NO_DEFAULT_PATH)
+  if(PYTHON_MULTIARCH)
+    set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}/${PYTHON_MULTIARCH}" "${PYTHON_LIBDIR}")
+  else()
+    set(_PYTHON_LIBS_SEARCH "${PYTHON_LIBDIR}")
+  endif()
+  #message(STATUS "Searching for Python libs in ${_PYTHON_LIBS_SEARCH}")
+  # Probably this needs to be more involved. It would be nice if the config
+  # information the python interpreter itself gave us were more complete.
+  find_library(
+    PYTHON_LIBRARY
+    NAMES "python${PYTHON_LIBRARY_SUFFIX}"
+    PATHS ${_PYTHON_LIBS_SEARCH} NO_DEFAULT_PATH)
 
-    # If all else fails, just set the name/version and let the linker figure out the path.
-    if(NOT PYTHON_LIBRARY)
-        set(PYTHON_LIBRARY python${PYTHON_LIBRARY_SUFFIX})
-    endif()
+  # If all else fails, just set the name/version and let the linker figure out the path.
+  if(NOT PYTHON_LIBRARY)
+    set(PYTHON_LIBRARY python${PYTHON_LIBRARY_SUFFIX})
+  endif()
 endif()
 
-MARK_AS_ADVANCED(
-  PYTHON_LIBRARY
-  PYTHON_INCLUDE_DIR
-)
+mark_as_advanced(PYTHON_LIBRARY PYTHON_INCLUDE_DIR)
 
 # We use PYTHON_INCLUDE_DIR, PYTHON_LIBRARY and PYTHON_DEBUG_LIBRARY for the
 # cache entries because they are meant to specify the location of a single
 # library. We now set the variables listed by the documentation for this
 # module.
-SET(PYTHON_INCLUDE_DIRS "${PYTHON_INCLUDE_DIR}")
-SET(PYTHON_LIBRARIES "${PYTHON_LIBRARY}")
+set(PYTHON_INCLUDE_DIRS "${PYTHON_INCLUDE_DIR}")
+set(PYTHON_LIBRARIES "${PYTHON_LIBRARY}")
 if(NOT PYTHON_DEBUG_LIBRARY)
-    SET(PYTHON_DEBUG_LIBRARY "")
+  set(PYTHON_DEBUG_LIBRARY "")
 endif()
-SET(PYTHON_DEBUG_LIBRARIES "${PYTHON_DEBUG_LIBRARY}")
+set(PYTHON_DEBUG_LIBRARIES "${PYTHON_DEBUG_LIBRARY}")
 
-find_package_message(PYTHON
-    "Found PythonLibs: ${PYTHON_LIBRARY}"
-    "${PYTHON_EXECUTABLE}${PYTHON_VERSION_STRING}")
+find_package_message(PYTHON "Found PythonLibs: ${PYTHON_LIBRARY}"
+                     "${PYTHON_EXECUTABLE}${PYTHON_VERSION_STRING}")
 
 set(PYTHONLIBS_FOUND TRUE)
 set(PythonLibsNew_FOUND TRUE)
 
 if(NOT PYTHON_MODULE_PREFIX)
-    SET(PYTHON_MODULE_PREFIX "")
+  set(PYTHON_MODULE_PREFIX "")
 endif()
diff --git a/tools/pybind11Tools.cmake b/tools/pybind11Tools.cmake
index 742699a..49876eb 100644
--- a/tools/pybind11Tools.cmake
+++ b/tools/pybind11Tools.cmake
@@ -10,18 +10,22 @@
 # VERSION 3.7...3.18, but some versions of VS have a patched CMake 3.11
 # that do not work properly with this syntax, so using the following workaround:
 if(${CMAKE_VERSION} VERSION_LESS 3.18)
-    cmake_policy(VERSION ${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION})
+  cmake_policy(VERSION ${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION})
 else()
-    cmake_policy(VERSION 3.18)
+  cmake_policy(VERSION 3.18)
 endif()
 
 # Add a CMake parameter for choosing a desired Python version
 if(NOT PYBIND11_PYTHON_VERSION)
-    set(PYBIND11_PYTHON_VERSION "" CACHE STRING "Python version to use for compiling modules")
+  set(PYBIND11_PYTHON_VERSION
+      ""
+      CACHE STRING "Python version to use for compiling modules")
 endif()
 
 # A user can set versions manually too
-set(Python_ADDITIONAL_VERSIONS "3.9;3.8;3.7;3.6;3.5;3.4" CACHE INTERNAL "")
+set(Python_ADDITIONAL_VERSIONS
+    "3.9;3.8;3.7;3.6;3.5;3.4"
+    CACHE INTERNAL "")
 find_package(PythonLibsNew ${PYBIND11_PYTHON_VERSION} REQUIRED)
 
 include(CheckCXXCompilerFlag)
@@ -29,76 +33,80 @@
 
 # Warn or error if old variable name used
 if(PYBIND11_CPP_STANDARD)
-    if(NOT CMAKE_CXX_STANDARD)
-        string(REGEX MATCH
-            [=[..^]=]
-            VAL
-            "${PYBIND11_CPP_STANDARD}")
-        set(supported_standards 11 14 17 20)
-        if("${VAL}" IN_LIST supported_standards)
-            message(WARNING "USE -DCMAKE_CXX_STANDARD=${VAL} instead of PYBIND11_PYTHON_VERSION")
-            set(CMAKE_CXX_STANDARD ${VAL})
-        else()
-            message(FATAL_ERROR "PYBIND11_CPP_STANDARD should be replaced with CMAKE_CXX_STANDARD")
-        endif()
+  if(NOT CMAKE_CXX_STANDARD)
+    string(REGEX MATCH [=[..^]=] VAL "${PYBIND11_CPP_STANDARD}")
+    set(supported_standards 11 14 17 20)
+    if("${VAL}" IN_LIST supported_standards)
+      message(WARNING "USE -DCMAKE_CXX_STANDARD=${VAL} instead of PYBIND11_PYTHON_VERSION")
+      set(CMAKE_CXX_STANDARD ${VAL})
+    else()
+      message(FATAL_ERROR "PYBIND11_CPP_STANDARD should be replaced with CMAKE_CXX_STANDARD")
     endif()
+  endif()
 endif()
 
-
-
 # Checks whether the given CXX/linker flags can compile and link a cxx file.  cxxflags and
 # linkerflags are lists of flags to use.  The result variable is a unique variable name for each set
 # of flags: the compilation result will be cached base on the result variable.  If the flags work,
 # sets them in cxxflags_out/linkerflags_out internal cache variables (in addition to ${result}).
-function(_pybind11_return_if_cxx_and_linker_flags_work result cxxflags linkerflags cxxflags_out linkerflags_out)
+function(_pybind11_return_if_cxx_and_linker_flags_work result cxxflags linkerflags cxxflags_out
+         linkerflags_out)
   set(CMAKE_REQUIRED_LIBRARIES ${linkerflags})
   check_cxx_compiler_flag("${cxxflags}" ${result})
-  if (${result})
-    set(${cxxflags_out} "${cxxflags}" CACHE INTERNAL "" FORCE)
-    set(${linkerflags_out} "${linkerflags}" CACHE INTERNAL "" FORCE)
+  if(${result})
+    set(${cxxflags_out}
+        "${cxxflags}"
+        CACHE INTERNAL "" FORCE)
+    set(${linkerflags_out}
+        "${linkerflags}"
+        CACHE INTERNAL "" FORCE)
   endif()
 endfunction()
 
 # Internal: find the appropriate link time optimization flags for this compiler
 function(_pybind11_add_lto_flags target_name prefer_thin_lto)
-  if (NOT DEFINED PYBIND11_LTO_CXX_FLAGS)
-    set(PYBIND11_LTO_CXX_FLAGS "" CACHE INTERNAL "")
-    set(PYBIND11_LTO_LINKER_FLAGS "" CACHE INTERNAL "")
+  if(NOT DEFINED PYBIND11_LTO_CXX_FLAGS)
+    set(PYBIND11_LTO_CXX_FLAGS
+        ""
+        CACHE INTERNAL "")
+    set(PYBIND11_LTO_LINKER_FLAGS
+        ""
+        CACHE INTERNAL "")
 
     if(CMAKE_CXX_COMPILER_ID MATCHES "GNU|Clang")
       set(cxx_append "")
       set(linker_append "")
-      if (CMAKE_CXX_COMPILER_ID MATCHES "Clang" AND NOT APPLE)
+      if(CMAKE_CXX_COMPILER_ID MATCHES "Clang" AND NOT APPLE)
         # Clang Gold plugin does not support -Os; append -O3 to MinSizeRel builds to override it
         set(linker_append ";$<$<CONFIG:MinSizeRel>:-O3>")
       elseif(CMAKE_CXX_COMPILER_ID MATCHES "GNU")
         set(cxx_append ";-fno-fat-lto-objects")
       endif()
 
-      if (CMAKE_CXX_COMPILER_ID MATCHES "Clang" AND prefer_thin_lto)
-        _pybind11_return_if_cxx_and_linker_flags_work(HAS_FLTO_THIN
-          "-flto=thin${cxx_append}" "-flto=thin${linker_append}"
+      if(CMAKE_CXX_COMPILER_ID MATCHES "Clang" AND prefer_thin_lto)
+        _pybind11_return_if_cxx_and_linker_flags_work(
+          HAS_FLTO_THIN "-flto=thin${cxx_append}" "-flto=thin${linker_append}"
           PYBIND11_LTO_CXX_FLAGS PYBIND11_LTO_LINKER_FLAGS)
       endif()
 
-      if (NOT HAS_FLTO_THIN)
-        _pybind11_return_if_cxx_and_linker_flags_work(HAS_FLTO
-          "-flto${cxx_append}" "-flto${linker_append}"
-          PYBIND11_LTO_CXX_FLAGS PYBIND11_LTO_LINKER_FLAGS)
+      if(NOT HAS_FLTO_THIN)
+        _pybind11_return_if_cxx_and_linker_flags_work(
+          HAS_FLTO "-flto${cxx_append}" "-flto${linker_append}" PYBIND11_LTO_CXX_FLAGS
+          PYBIND11_LTO_LINKER_FLAGS)
       endif()
-    elseif (CMAKE_CXX_COMPILER_ID MATCHES "Intel")
+    elseif(CMAKE_CXX_COMPILER_ID MATCHES "Intel")
       # Intel equivalent to LTO is called IPO
-      _pybind11_return_if_cxx_and_linker_flags_work(HAS_INTEL_IPO
-      "-ipo" "-ipo" PYBIND11_LTO_CXX_FLAGS PYBIND11_LTO_LINKER_FLAGS)
+      _pybind11_return_if_cxx_and_linker_flags_work(
+        HAS_INTEL_IPO "-ipo" "-ipo" PYBIND11_LTO_CXX_FLAGS PYBIND11_LTO_LINKER_FLAGS)
     elseif(MSVC)
       # cmake only interprets libraries as linker flags when they start with a - (otherwise it
       # converts /LTCG to \LTCG as if it was a Windows path).  Luckily MSVC supports passing flags
       # with - instead of /, even if it is a bit non-standard:
-      _pybind11_return_if_cxx_and_linker_flags_work(HAS_MSVC_GL_LTCG
-        "/GL" "-LTCG" PYBIND11_LTO_CXX_FLAGS PYBIND11_LTO_LINKER_FLAGS)
+      _pybind11_return_if_cxx_and_linker_flags_work(
+        HAS_MSVC_GL_LTCG "/GL" "-LTCG" PYBIND11_LTO_CXX_FLAGS PYBIND11_LTO_LINKER_FLAGS)
     endif()
 
-    if (PYBIND11_LTO_CXX_FLAGS)
+    if(PYBIND11_LTO_CXX_FLAGS)
       message(STATUS "LTO enabled")
     else()
       message(STATUS "LTO disabled (not supported by the compiler and/or linker)")
@@ -106,12 +114,13 @@
   endif()
 
   # Enable LTO flags if found, except for Debug builds
-  if (PYBIND11_LTO_CXX_FLAGS)
+  if(PYBIND11_LTO_CXX_FLAGS)
     set(not_debug "$<NOT:$<CONFIG:Debug>>")
     set(cxx_lang "$<COMPILE_LANGUAGE:CXX>")
-    target_compile_options(${target_name} PRIVATE "$<$<AND:${not_debug},${cxx_lang}>:${PYBIND11_LTO_CXX_FLAGS}>")
+    target_compile_options(${target_name}
+                           PRIVATE "$<$<AND:${not_debug},${cxx_lang}>:${PYBIND11_LTO_CXX_FLAGS}>")
   endif()
-  if (PYBIND11_LTO_LINKER_FLAGS)
+  if(PYBIND11_LTO_LINKER_FLAGS)
     target_link_libraries(${target_name} PRIVATE "$<${not_debug}:${PYBIND11_LTO_LINKER_FLAGS}>")
   endif()
 endfunction()
@@ -143,7 +152,10 @@
   target_link_libraries(${target_name} PRIVATE pybind11::module)
 
   if(ARG_SYSTEM)
-      message(STATUS "Warning: this does not have an effect - use NO_SYSTEM_FROM_IMPORTED if using imported targets")
+    message(
+      STATUS
+        "Warning: this does not have an effect - use NO_SYSTEM_FROM_IMPORTED if using imported targets"
+    )
   endif()
 
   # Python debug libraries expose slightly different objects before 3.8
@@ -165,35 +177,33 @@
   set_target_properties(${target_name} PROPERTIES CXX_VISIBILITY_PRESET "hidden")
   set_target_properties(${target_name} PROPERTIES CUDA_VISIBILITY_PRESET "hidden")
 
-
   if(ARG_NO_EXTRAS)
-      return()
+    return()
   endif()
 
   if(CMAKE_VERSION VERSION_LESS 3.9 OR PYBIND11_CLASSIC_LTO)
-      _pybind11_add_lto_flags(${target_name} ${ARG_THIN_LTO})
+    _pybind11_add_lto_flags(${target_name} ${ARG_THIN_LTO})
   else()
-      include(CheckIPOSupported)
-      check_ipo_supported(RESULT supported OUTPUT error)
-      if(supported)
-          set_property(
-            TARGET
-              ${target_name}
-            PROPERTY
-              INTERPROCEDURAL_OPTIMIZATION TRUE
-            )
-      endif()
+    include(CheckIPOSupported)
+    check_ipo_supported(RESULT supported OUTPUT error)
+    if(supported)
+      set_property(TARGET ${target_name} PROPERTY INTERPROCEDURAL_OPTIMIZATION TRUE)
+    endif()
   endif()
 
-  if (NOT MSVC AND NOT ${CMAKE_BUILD_TYPE} MATCHES Debug|RelWithDebInfo)
+  if(NOT MSVC AND NOT ${CMAKE_BUILD_TYPE} MATCHES Debug|RelWithDebInfo)
     # Strip unnecessary sections of the binary on Linux/Mac OS
     if(CMAKE_STRIP)
       if(APPLE)
-        add_custom_command(TARGET ${target_name} POST_BUILD
-                           COMMAND ${CMAKE_STRIP} -x $<TARGET_FILE:${target_name}>)
+        add_custom_command(
+          TARGET ${target_name}
+          POST_BUILD
+          COMMAND ${CMAKE_STRIP} -x $<TARGET_FILE:${target_name}>)
       else()
-        add_custom_command(TARGET ${target_name} POST_BUILD
-                           COMMAND ${CMAKE_STRIP} $<TARGET_FILE:${target_name}>)
+        add_custom_command(
+          TARGET ${target_name}
+          POST_BUILD
+          COMMAND ${CMAKE_STRIP} $<TARGET_FILE:${target_name}>)
       endif()
     endif()
   endif()
@@ -209,7 +219,8 @@
       # instance, projects that include other types of source files like CUDA
       # .cu files don't get these options propagated to nvcc since that would
       # cause the build to fail.
-      target_compile_options(${target_name} PRIVATE $<$<NOT:$<CONFIG:Debug>>:$<$<COMPILE_LANGUAGE:CXX>:/MP>>)
+      target_compile_options(${target_name}
+                             PRIVATE $<$<NOT:$<CONFIG:Debug>>:$<$<COMPILE_LANGUAGE:CXX>:/MP>>)
     endif()
   endif()
 endfunction()