diff --git a/libc/src/math/CMakeLists.txt b/libc/src/math/CMakeLists.txt
--- a/libc/src/math/CMakeLists.txt
+++ b/libc/src/math/CMakeLists.txt
@@ -1,3 +1,41 @@
+add_subdirectory(generic)
+if(EXISTS ${CMAKE_CURRENT_SOURCE_DIR}/${LIBC_TARGET_MACHINE})
+  add_subdirectory(${LIBC_TARGET_MACHINE})
+endif()
+
+function(add_math_entrypoint_object name)
+  # We prefer machine specific implementation if available. Hence we check
+  # that first and retrun early if we are able to add an alias target for the
+  # machine specific implementation.
+  get_fq_target_name("${LIBC_TARGET_MACHINE}.${name}" fq_machine_specific_target_name)
+  if(TARGET ${fq_machine_specific_target_name})
+    add_entrypoint_object(
+      ${name}
+      ALIAS
+      DEPENDS
+        .${LIBC_TARGET_MACHINE}.${name}
+    )
+    return()
+  endif()
+
+  get_fq_target_name("generic.${name}" fq_generic_target_name)
+  if(TARGET ${fq_generic_target_name})
+    add_entrypoint_object(
+      ${name}
+      ALIAS
+      DEPENDS
+        .generic.${name}
+    )
+    return()
+  endif()
+
+  message(FATAL_ERROR "No machine specific or generic implementation found for ${name}.")
+endfunction()
+
+add_math_entrypoint_object(ceil)
+add_math_entrypoint_object(ceilf)
+add_math_entrypoint_object(ceill)
+
 add_object_library(
   math_utils
   SRCS
@@ -128,42 +166,6 @@
     -O2
 )
 
-add_entrypoint_object(
-  ceil
-  SRCS
-    ceil.cpp
-  HDRS
-    ceil.h
-  DEPENDS
-    libc.utils.FPUtil.fputil
-  COMPILE_OPTIONS
-    -O2
-)
-
-add_entrypoint_object(
-  ceilf
-  SRCS
-    ceilf.cpp
-  HDRS
-    ceilf.h
-  DEPENDS
-    libc.utils.FPUtil.fputil
-  COMPILE_OPTIONS
-    -O2
-)
-
-add_entrypoint_object(
-  ceill
-  SRCS
-    ceill.cpp
-  HDRS
-    ceill.h
-  DEPENDS
-    libc.utils.FPUtil.fputil
-  COMPILE_OPTIONS
-    -O2
-)
-
 add_entrypoint_object(
   floor
   SRCS
diff --git a/libc/src/math/aarch64/CMakeLists.txt b/libc/src/math/aarch64/CMakeLists.txt
new file mode 100644
--- /dev/null
+++ b/libc/src/math/aarch64/CMakeLists.txt
@@ -0,0 +1,19 @@
+add_entrypoint_object(
+  ceil
+  SRCS
+    ceil.cpp
+  HDRS
+    ../ceil.h
+  COMPILE_OPTIONS
+    -O2
+)
+
+add_entrypoint_object(
+  ceilf
+  SRCS
+    ceilf.cpp
+  HDRS
+    ../ceilf.h
+  COMPILE_OPTIONS
+    -O2
+)
diff --git a/libc/src/math/ceil.cpp b/libc/src/math/aarch64/ceil.cpp
rename from libc/src/math/ceil.cpp
rename to libc/src/math/aarch64/ceil.cpp
--- a/libc/src/math/ceil.cpp
+++ b/libc/src/math/aarch64/ceil.cpp
@@ -1,4 +1,4 @@
-//===-- Implementation of ceil function -----------------------------------===//
+//===-- Implementation of the ceil function for aarch64 -------------------===//
 //
 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
 // See https://llvm.org/LICENSE.txt for license information.
@@ -8,10 +8,18 @@
 
 #include "src/math/ceil.h"
 #include "src/__support/common.h"
-#include "utils/FPUtil/NearestIntegerOperations.h"
 
 namespace __llvm_libc {
 
-LLVM_LIBC_FUNCTION(double, ceil, (double x)) { return fputil::ceil(x); }
+LLVM_LIBC_FUNCTION(double, ceil, (double x)) {
+  double y;
+  __asm__ __volatile__("ldr d0, %1\n"
+                       "frintp d0, d0\n"
+                       "str d0, %0\n"
+                       : "=m"(y)
+                       : "m"(x)
+                       : "d0");
+  return y;
+}
 
 } // namespace __llvm_libc
diff --git a/libc/src/math/ceilf.cpp b/libc/src/math/aarch64/ceilf.cpp
rename from libc/src/math/ceilf.cpp
rename to libc/src/math/aarch64/ceilf.cpp
--- a/libc/src/math/ceilf.cpp
+++ b/libc/src/math/aarch64/ceilf.cpp
@@ -1,4 +1,4 @@
-//===-- Implementation of ceilf function ----------------------------------===//
+//===-- Implementation of the ceilf function for aarch64 ------------------===//
 //
 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
 // See https://llvm.org/LICENSE.txt for license information.
@@ -8,10 +8,18 @@
 
 #include "src/math/ceilf.h"
 #include "src/__support/common.h"
-#include "utils/FPUtil/NearestIntegerOperations.h"
 
 namespace __llvm_libc {
 
-LLVM_LIBC_FUNCTION(float, ceilf, (float x)) { return fputil::ceil(x); }
+LLVM_LIBC_FUNCTION(float, ceilf, (float x)) {
+  float y;
+  __asm__ __volatile__("ldr s0, %1\n"
+                       "frintp s0, s0\n"
+                       "str s0, %0\n"
+                       : "=m"(y)
+                       : "m"(x)
+                       : "s0");
+  return y;
+}
 
 } // namespace __llvm_libc
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
new file mode 100644
--- /dev/null
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -0,0 +1,35 @@
+add_entrypoint_object(
+  ceil
+  SRCS
+    ceil.cpp
+  HDRS
+    ../ceil.h
+  DEPENDS
+    libc.utils.FPUtil.fputil
+  COMPILE_OPTIONS
+    -O2
+)
+
+add_entrypoint_object(
+  ceilf
+  SRCS
+    ceilf.cpp
+  HDRS
+    ../ceilf.h
+  DEPENDS
+    libc.utils.FPUtil.fputil
+  COMPILE_OPTIONS
+    -O2
+)
+
+add_entrypoint_object(
+  ceill
+  SRCS
+    ceill.cpp
+  HDRS
+    ../ceill.h
+  DEPENDS
+    libc.utils.FPUtil.fputil
+  COMPILE_OPTIONS
+    -O2
+)
diff --git a/libc/src/math/ceil.cpp b/libc/src/math/generic/ceil.cpp
rename from libc/src/math/ceil.cpp
rename to libc/src/math/generic/ceil.cpp
diff --git a/libc/src/math/ceilf.cpp b/libc/src/math/generic/ceilf.cpp
rename from libc/src/math/ceilf.cpp
rename to libc/src/math/generic/ceilf.cpp
diff --git a/libc/src/math/ceill.cpp b/libc/src/math/generic/ceill.cpp
rename from libc/src/math/ceill.cpp
rename to libc/src/math/generic/ceill.cpp
diff --git a/libc/test/src/math/CMakeLists.txt b/libc/test/src/math/CMakeLists.txt
--- a/libc/test/src/math/CMakeLists.txt
+++ b/libc/test/src/math/CMakeLists.txt
@@ -1070,3 +1070,5 @@
     libc.src.math.fmaf
     libc.utils.FPUtil.fputil
 )
+
+add_subdirectory(generic)
diff --git a/libc/test/src/math/generic/CMakeLists.txt b/libc/test/src/math/generic/CMakeLists.txt
new file mode 100644
--- /dev/null
+++ b/libc/test/src/math/generic/CMakeLists.txt
@@ -0,0 +1,39 @@
+add_fp_unittest(
+  ceil_test
+  NEED_MPFR
+  SUITE
+    libc_math_unittests
+  SRCS
+    ../ceil_test.cpp
+  DEPENDS
+    libc.include.math
+    libc.src.math.generic.ceil
+    libc.utils.FPUtil.fputil
+)
+
+add_fp_unittest(
+  ceilf_test
+  NEED_MPFR
+  SUITE
+    libc_math_unittests
+  SRCS
+    ../ceilf_test.cpp
+  DEPENDS
+    libc.include.math
+    libc.src.math.generic.ceilf
+    libc.utils.FPUtil.fputil
+)
+
+add_fp_unittest(
+  ceill_test
+  NEED_MPFR
+  SUITE
+    libc_math_unittests
+  SRCS
+    ../ceill_test.cpp
+  DEPENDS
+    libc.include.math
+    libc.src.math.generic.ceill
+    libc.utils.FPUtil.fputil
+)
+