diff --git a/libc/src/math/generic/roundevenf16.cpp b/libc/src/math/generic/roundevenf16.cpp
@@ -0,0 +1,19 @@
+//===-- Implementation of roundevenf16 function ---------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/math/roundevenf16.h"
+#include "src/__support/FPUtil/NearestIntegerOperations.h"
+#include "src/__support/common.h"
+
+namespace LIBC_NAMESPACE {
+
+LLVM_LIBC_FUNCTION(float16, roundevenf16, (float16 x)) {
+  return fputil::round_using_specific_rounding_mode(x, FP_INT_TONEAREST);
+}
+
+} // namespace LIBC_NAMESPACE
diff --git a/libc/src/math/generic/roundf16.cpp b/libc/src/math/generic/roundf16.cpp
@@ -0,0 +1,17 @@
+//===-- Implementation of roundf16 function -------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/math/roundf16.h"
+#include "src/__support/FPUtil/NearestIntegerOperations.h"
+#include "src/__support/common.h"
+
+namespace LIBC_NAMESPACE {
+
+LLVM_LIBC_FUNCTION(float16, roundf16, (float16 x)) { return fputil::round(x); }
+
+} // namespace LIBC_NAMESPACE
diff --git a/libc/src/math/generic/truncf16.cpp b/libc/src/math/generic/truncf16.cpp
@@ -0,0 +1,17 @@
+//===-- Implementation of truncf16 function -------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/math/truncf16.h"
+#include "src/__support/FPUtil/NearestIntegerOperations.h"
+#include "src/__support/common.h"
+
+namespace LIBC_NAMESPACE {
+
+LLVM_LIBC_FUNCTION(float16, truncf16, (float16 x)) { return fputil::trunc(x); }
+
+} // namespace LIBC_NAMESPACE
diff --git a/libc/src/math/roundevenf16.h b/libc/src/math/roundevenf16.h
@@ -0,0 +1,20 @@
+//===-- Implementation header for roundevenf16 ------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_MATH_ROUNDEVENF16_H
+#define LLVM_LIBC_SRC_MATH_ROUNDEVENF16_H
+
+#include "src/__support/macros/properties/types.h"
+
+namespace LIBC_NAMESPACE {
+
+float16 roundevenf16(float16 x);
+
+} // namespace LIBC_NAMESPACE
+
+#endif // LLVM_LIBC_SRC_MATH_ROUNDEVENF16_H
diff --git a/libc/src/math/roundf16.h b/libc/src/math/roundf16.h
@@ -0,0 +1,20 @@
+//===-- Implementation header for roundf16 ----------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_MATH_ROUNDF16_H
+#define LLVM_LIBC_SRC_MATH_ROUNDF16_H
+
+#include "src/__support/macros/properties/types.h"
+
+namespace LIBC_NAMESPACE {
+
+float16 roundf16(float16 x);
+
+} // namespace LIBC_NAMESPACE
+
+#endif // LLVM_LIBC_SRC_MATH_ROUNDF16_H
diff --git a/libc/src/math/truncf16.h b/libc/src/math/truncf16.h
@@ -0,0 +1,20 @@
+//===-- Implementation header for truncf16 ----------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_MATH_TRUNCF16_H
+#define LLVM_LIBC_SRC_MATH_TRUNCF16_H
+
+#include "src/__support/macros/properties/types.h"
+
+namespace LIBC_NAMESPACE {
+
+float16 truncf16(float16 x);
+
+} // namespace LIBC_NAMESPACE
+
+#endif // LLVM_LIBC_SRC_MATH_TRUNCF16_H
diff --git a/libc/test/src/math/smoke/CMakeLists.txt b/libc/test/src/math/smoke/CMakeLists.txt
@@ -156,6 +156,18 @@ add_fp_unittest(
     libc.src.__support.FPUtil.fp_bits
 )
 
+add_fp_unittest(
+  truncf16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    truncf16_test.cpp
+  HDRS
+    TruncTest.h
+  DEPENDS
+    libc.src.math.truncf16
+)
+
 add_fp_unittest(
   truncf128_test
   SUITE
@@ -268,6 +280,18 @@ add_fp_unittest(
     libc.src.__support.FPUtil.fp_bits
 )
 
+add_fp_unittest(
+  ceilf16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    ceilf16_test.cpp
+  HDRS
+    CeilTest.h
+  DEPENDS
+    libc.src.math.ceilf16
+)
+
 add_fp_unittest(
   ceilf128_test
   SUITE
@@ -320,6 +344,18 @@ add_fp_unittest(
     libc.src.__support.FPUtil.fp_bits
 )
 
+add_fp_unittest(
+  floorf16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    floorf16_test.cpp
+  HDRS
+    FloorTest.h
+  DEPENDS
+    libc.src.math.floorf16
+)
+
 add_fp_unittest(
   floorf128_test
   SUITE
@@ -372,6 +408,18 @@ add_fp_unittest(
     libc.src.__support.FPUtil.fp_bits
 )
 
+add_fp_unittest(
+  roundf16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    roundf16_test.cpp
+  HDRS
+    RoundTest.h
+  DEPENDS
+    libc.src.math.roundf16
+)
+
 add_fp_unittest(
   roundf128_test
   SUITE
@@ -424,6 +472,18 @@ add_fp_unittest(
     libc.src.__support.FPUtil.fp_bits
 )
 
+add_fp_unittest(
+  roundevenf16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    roundevenf16_test.cpp
+  HDRS
+    RoundEvenTest.h
+  DEPENDS
+    libc.src.math.roundevenf16
+)
+
 add_fp_unittest(
   roundevenf128_test
   SUITE

diff --git a/libc/test/src/math/smoke/CeilTest.h b/libc/test/src/math/smoke/CeilTest.h
@@ -59,10 +59,10 @@ class CeilTest : public LIBC_NAMESPACE::testing::FEnvSafeTest {
     EXPECT_FP_EQ(T(-10.0), func(T(-10.32)));
     EXPECT_FP_EQ(T(11.0), func(T(10.65)));
     EXPECT_FP_EQ(T(-10.0), func(T(-10.65)));
-    EXPECT_FP_EQ(T(1235.0), func(T(1234.38)));
-    EXPECT_FP_EQ(T(-1234.0), func(T(-1234.38)));
-    EXPECT_FP_EQ(T(1235.0), func(T(1234.96)));
-    EXPECT_FP_EQ(T(-1234.0), func(T(-1234.96)));
+    EXPECT_FP_EQ(T(124.0), func(T(123.38)));
+    EXPECT_FP_EQ(T(-123.0), func(T(-123.38)));
+    EXPECT_FP_EQ(T(124.0), func(T(123.96)));
+    EXPECT_FP_EQ(T(-123.0), func(T(-123.96)));
   }
 };
 

diff --git a/libc/test/src/math/smoke/FloorTest.h b/libc/test/src/math/smoke/FloorTest.h
@@ -59,10 +59,10 @@ class FloorTest : public LIBC_NAMESPACE::testing::FEnvSafeTest {
     EXPECT_FP_EQ(T(-11.0), func(T(-10.32)));
     EXPECT_FP_EQ(T(10.0), func(T(10.65)));
     EXPECT_FP_EQ(T(-11.0), func(T(-10.65)));
-    EXPECT_FP_EQ(T(1234.0), func(T(1234.38)));
-    EXPECT_FP_EQ(T(-1235.0), func(T(-1234.38)));
-    EXPECT_FP_EQ(T(1234.0), func(T(1234.96)));
-    EXPECT_FP_EQ(T(-1235.0), func(T(-1234.96)));
+    EXPECT_FP_EQ(T(123.0), func(T(123.38)));
+    EXPECT_FP_EQ(T(-124.0), func(T(-123.38)));
+    EXPECT_FP_EQ(T(123.0), func(T(123.96)));
+    EXPECT_FP_EQ(T(-124.0), func(T(-123.96)));
   }
 };
 

diff --git a/libc/test/src/math/smoke/RoundEvenTest.h b/libc/test/src/math/smoke/RoundEvenTest.h
@@ -57,10 +57,10 @@ class RoundEvenTest : public LIBC_NAMESPACE::testing::FEnvSafeTest {
     EXPECT_FP_EQ(T(-10.0), func(T(-10.50)));
     EXPECT_FP_EQ(T(11.0), func(T(10.65)));
     EXPECT_FP_EQ(T(-11.0), func(T(-10.65)));
-    EXPECT_FP_EQ(T(1234.0), func(T(1234.50)));
-    EXPECT_FP_EQ(T(-1234.0), func(T(-1234.50)));
-    EXPECT_FP_EQ(T(1236.0), func(T(1235.50)));
-    EXPECT_FP_EQ(T(-1236.0), func(T(-1235.50)));
+    EXPECT_FP_EQ(T(124.0), func(T(124.50)));
+    EXPECT_FP_EQ(T(-124.0), func(T(-124.50)));
+    EXPECT_FP_EQ(T(126.0), func(T(125.50)));
+    EXPECT_FP_EQ(T(-126.0), func(T(-125.50)));
   }
 };
 

diff --git a/libc/test/src/math/smoke/RoundTest.h b/libc/test/src/math/smoke/RoundTest.h
@@ -59,10 +59,10 @@ class RoundTest : public LIBC_NAMESPACE::testing::FEnvSafeTest {
     EXPECT_FP_EQ(T(-10.0), func(T(-10.32)));
     EXPECT_FP_EQ(T(11.0), func(T(10.65)));
     EXPECT_FP_EQ(T(-11.0), func(T(-10.65)));
-    EXPECT_FP_EQ(T(1234.0), func(T(1234.38)));
-    EXPECT_FP_EQ(T(-1234.0), func(T(-1234.38)));
-    EXPECT_FP_EQ(T(1235.0), func(T(1234.96)));
-    EXPECT_FP_EQ(T(-1235.0), func(T(-1234.96)));
+    EXPECT_FP_EQ(T(123.0), func(T(123.38)));
+    EXPECT_FP_EQ(T(-123.0), func(T(-123.38)));
+    EXPECT_FP_EQ(T(124.0), func(T(123.96)));
+    EXPECT_FP_EQ(T(-124.0), func(T(-123.96)));
   }
 };
 

diff --git a/libc/test/src/math/smoke/TruncTest.h b/libc/test/src/math/smoke/TruncTest.h
@@ -59,10 +59,10 @@ class TruncTest : public LIBC_NAMESPACE::testing::FEnvSafeTest {
     EXPECT_FP_EQ(T(-10.0), func(T(-10.32)));
     EXPECT_FP_EQ(T(10.0), func(T(10.65)));
     EXPECT_FP_EQ(T(-10.0), func(T(-10.65)));
-    EXPECT_FP_EQ(T(1234.0), func(T(1234.38)));
-    EXPECT_FP_EQ(T(-1234.0), func(T(-1234.38)));
-    EXPECT_FP_EQ(T(1234.0), func(T(1234.96)));
-    EXPECT_FP_EQ(T(-1234.0), func(T(-1234.96)));
+    EXPECT_FP_EQ(T(123.0), func(T(123.38)));
+    EXPECT_FP_EQ(T(-123.0), func(T(-123.38)));
+    EXPECT_FP_EQ(T(123.0), func(T(123.96)));
+    EXPECT_FP_EQ(T(-123.0), func(T(-123.96)));
   }
 };
 

diff --git a/libc/test/src/math/smoke/ceilf16_test.cpp b/libc/test/src/math/smoke/ceilf16_test.cpp
@@ -0,0 +1,13 @@
+//===-- Unittests for ceilf16 ---------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "CeilTest.h"
+
+#include "src/math/ceilf16.h"
+
+LIST_CEIL_TESTS(float16, LIBC_NAMESPACE::ceilf16)
diff --git a/libc/test/src/math/smoke/floorf16_test.cpp b/libc/test/src/math/smoke/floorf16_test.cpp
@@ -0,0 +1,13 @@
+//===-- Unittests for floorf16 --------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "FloorTest.h"
+
+#include "src/math/floorf16.h"
+
+LIST_FLOOR_TESTS(float16, LIBC_NAMESPACE::floorf16)
diff --git a/libc/test/src/math/smoke/roundevenf16_test.cpp b/libc/test/src/math/smoke/roundevenf16_test.cpp
@@ -0,0 +1,13 @@
+//===-- Unittests for roundevenf16 ----------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "RoundEvenTest.h"
+
+#include "src/math/roundevenf16.h"
+
+LIST_ROUNDEVEN_TESTS(float16, LIBC_NAMESPACE::roundevenf16)
diff --git a/libc/test/src/math/smoke/roundf16_test.cpp b/libc/test/src/math/smoke/roundf16_test.cpp
@@ -0,0 +1,13 @@
+//===-- Unittests for roundf16 --------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "RoundTest.h"
+
+#include "src/math/roundf16.h"
+
+LIST_ROUND_TESTS(float16, LIBC_NAMESPACE::roundf16)
diff --git a/libc/test/src/math/smoke/truncf16_test.cpp b/libc/test/src/math/smoke/truncf16_test.cpp
@@ -0,0 +1,13 @@
+//===-- Unittests for truncf16 --------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "TruncTest.h"
+
+#include "src/math/truncf16.h"
+
+LIST_TRUNC_TESTS(float16, LIBC_NAMESPACE::truncf16)