diff --git a/utils/bazel/llvm-project-overlay/libc/BUILD.bazel b/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
index d4aeaea6fac84..820163415f98b 100644
--- a/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
+++ b/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
@@ -1702,6 +1702,17 @@ libc_support_library(
     ],
 )
 
+libc_support_library(
+    name = "sincosf16_utils",
+    hdrs = ["src/math/generic/sincosf16_utils.h"],
+    deps = [
+        ":__support_common",
+        ":__support_fputil_fp_bits",
+        ":__support_fputil_nearest_integer",
+        ":__support_fputil_polyeval",
+    ],
+)
+
 libc_support_library(
     name = "explogxf",
     srcs = ["src/math/generic/explogxf.cpp"],
@@ -1773,6 +1784,18 @@ libc_support_library(
     ],
 )
 
+libc_support_library(
+    name = "expxf16",
+    hdrs = ["src/math/generic/expxf16.h"],
+    deps = [
+        ":__support_cpp_array",
+        ":__support_fputil_cast",
+        ":__support_fputil_fp_bits",
+        ":__support_fputil_nearest_integer",
+        ":__support_fputil_polyeval",
+    ],
+)
+
 ################################ math targets ##################################
 
 libc_math_function(
@@ -1882,6 +1905,8 @@ libc_math_function(name = "canonicalizel")
 
 libc_math_function(name = "canonicalizef128")
 
+libc_math_function(name = "canonicalizef16")
+
 libc_math_function(
     name = "cbrt",
     additional_deps = [
@@ -1906,6 +1931,8 @@ libc_math_function(name = "ceill")
 
 libc_math_function(name = "ceilf128")
 
+libc_math_function(name = "ceilf16")
+
 libc_math_function(name = "copysign")
 
 libc_math_function(name = "copysignf")
@@ -1914,6 +1941,8 @@ libc_math_function(name = "copysignl")
 
 libc_math_function(name = "copysignf128")
 
+libc_math_function(name = "copysignf16")
+
 libc_math_function(
     name = "cos",
     additional_deps = [
@@ -1950,6 +1979,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "coshf16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "cospif",
     additional_deps = [
@@ -1965,6 +2001,15 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "cospif16",
+    additional_deps = [
+        ":__support_fputil_multiply_add",
+        ":__support_macros_optimization",
+        ":sincosf16_utils",
+    ],
+)
+
 libc_math_function(name = "daddl")
 
 libc_math_function(name = "daddf128")
@@ -2048,6 +2093,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "expf16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "exp10",
     additional_deps = [
@@ -2072,6 +2124,20 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "exp10f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
+libc_math_function(
+    name = "exp10m1f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "exp2",
     additional_deps = [
@@ -2096,6 +2162,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "exp2f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "exp2m1f",
     additional_deps = [
@@ -2104,6 +2177,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "exp2m1f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "expm1",
     additional_deps = [
@@ -2135,6 +2215,101 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "expm1f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
+libc_math_function(name = "f16add")
+
+libc_math_function(name = "f16addf")
+
+libc_math_function(name = "f16addf128")
+
+libc_math_function(name = "f16addl")
+
+libc_math_function(name = "f16div")
+
+libc_math_function(name = "f16divf")
+
+libc_math_function(name = "f16divf128")
+
+libc_math_function(name = "f16divl")
+
+libc_math_function(
+    name = "f16fma",
+    additional_deps = [
+        ":__support_fputil_fma",
+    ],
+)
+
+libc_math_function(
+    name = "f16fmaf",
+    additional_deps = [
+        ":__support_fputil_fma",
+    ],
+)
+
+libc_math_function(
+    name = "f16fmaf128",
+    additional_deps = [
+        ":__support_fputil_fma",
+    ],
+)
+
+libc_math_function(
+    name = "f16fmal",
+    additional_deps = [
+        ":__support_fputil_fma",
+    ],
+)
+
+libc_math_function(name = "f16mul")
+
+libc_math_function(name = "f16mulf")
+
+libc_math_function(name = "f16mulf128")
+
+libc_math_function(name = "f16mull")
+
+libc_math_function(
+    name = "f16sqrt",
+    additional_deps = [
+        ":__support_fputil_sqrt",
+    ],
+)
+
+libc_math_function(
+    name = "f16sqrtf",
+    additional_deps = [
+        ":__support_fputil_sqrt",
+    ],
+)
+
+libc_math_function(
+    name = "f16sqrtf128",
+    additional_deps = [
+        ":__support_fputil_sqrt",
+    ],
+)
+
+libc_math_function(
+    name = "f16sqrtl",
+    additional_deps = [
+        ":__support_fputil_sqrt",
+    ],
+)
+
+libc_math_function(name = "f16sub")
+
+libc_math_function(name = "f16subf")
+
+libc_math_function(name = "f16subf128")
+
+libc_math_function(name = "f16subl")
+
 libc_math_function(name = "fabs")
 
 libc_math_function(name = "fabsf")
@@ -2143,6 +2318,8 @@ libc_math_function(name = "fabsl")
 
 libc_math_function(name = "fabsf128")
 
+libc_math_function(name = "fabsf16")
+
 libc_math_function(name = "fadd")
 
 libc_math_function(name = "faddl")
@@ -2157,6 +2334,8 @@ libc_math_function(name = "fdiml")
 
 libc_math_function(name = "fdimf128")
 
+libc_math_function(name = "fdimf16")
+
 libc_math_function(name = "fdiv")
 
 libc_math_function(name = "fdivl")
@@ -2192,6 +2371,8 @@ libc_math_function(name = "floorl")
 
 libc_math_function(name = "floorf128")
 
+libc_math_function(name = "floorf16")
+
 # TODO: Add fma, fmaf, fmal, fmaf128 functions.
 
 libc_math_function(name = "fmax")
@@ -2202,6 +2383,8 @@ libc_math_function(name = "fmaxl")
 
 libc_math_function(name = "fmaxf128")
 
+libc_math_function(name = "fmaxf16")
+
 libc_math_function(name = "fmaximum")
 
 libc_math_function(name = "fmaximumf")
@@ -2210,6 +2393,8 @@ libc_math_function(name = "fmaximuml")
 
 libc_math_function(name = "fmaximumf128")
 
+libc_math_function(name = "fmaximumf16")
+
 libc_math_function(name = "fmaximum_mag")
 
 libc_math_function(name = "fmaximum_magf")
@@ -2218,6 +2403,8 @@ libc_math_function(name = "fmaximum_magl")
 
 libc_math_function(name = "fmaximum_magf128")
 
+libc_math_function(name = "fmaximum_magf16")
+
 libc_math_function(name = "fmaximum_mag_num")
 
 libc_math_function(name = "fmaximum_mag_numf")
@@ -2226,6 +2413,8 @@ libc_math_function(name = "fmaximum_mag_numl")
 
 libc_math_function(name = "fmaximum_mag_numf128")
 
+libc_math_function(name = "fmaximum_mag_numf16")
+
 libc_math_function(name = "fmaximum_num")
 
 libc_math_function(name = "fmaximum_numf")
@@ -2234,6 +2423,8 @@ libc_math_function(name = "fmaximum_numl")
 
 libc_math_function(name = "fmaximum_numf128")
 
+libc_math_function(name = "fmaximum_numf16")
+
 libc_math_function(name = "fmin")
 
 libc_math_function(name = "fminf")
@@ -2242,6 +2433,8 @@ libc_math_function(name = "fminl")
 
 libc_math_function(name = "fminf128")
 
+libc_math_function(name = "fminf16")
+
 libc_math_function(name = "fminimum")
 
 libc_math_function(name = "fminimumf")
@@ -2250,6 +2443,8 @@ libc_math_function(name = "fminimuml")
 
 libc_math_function(name = "fminimumf128")
 
+libc_math_function(name = "fminimumf16")
+
 libc_math_function(name = "fminimum_mag")
 
 libc_math_function(name = "fminimum_magf")
@@ -2258,6 +2453,8 @@ libc_math_function(name = "fminimum_magl")
 
 libc_math_function(name = "fminimum_magf128")
 
+libc_math_function(name = "fminimum_magf16")
+
 libc_math_function(name = "fminimum_mag_num")
 
 libc_math_function(name = "fminimum_mag_numf")
@@ -2266,6 +2463,8 @@ libc_math_function(name = "fminimum_mag_numl")
 
 libc_math_function(name = "fminimum_mag_numf128")
 
+libc_math_function(name = "fminimum_mag_numf16")
+
 libc_math_function(name = "fminimum_num")
 
 libc_math_function(name = "fminimum_numf")
@@ -2274,6 +2473,8 @@ libc_math_function(name = "fminimum_numl")
 
 libc_math_function(name = "fminimum_numf128")
 
+libc_math_function(name = "fminimum_numf16")
+
 libc_math_function(
     name = "fmod",
     additional_deps = [
@@ -2302,6 +2503,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "fmodf16",
+    additional_deps = [
+        ":__support_fputil_generic_fmod",
+    ],
+)
+
 libc_math_function(
     name = "fmul",
     additional_deps = [
@@ -2321,6 +2529,8 @@ libc_math_function(name = "frexpl")
 
 libc_math_function(name = "frexpf128")
 
+libc_math_function(name = "frexpf16")
+
 libc_math_function(name = "fromfp")
 
 libc_math_function(name = "fromfpf")
@@ -2329,6 +2539,8 @@ libc_math_function(name = "fromfpl")
 
 libc_math_function(name = "fromfpf128")
 
+libc_math_function(name = "fromfpf16")
+
 libc_math_function(name = "fromfpx")
 
 libc_math_function(name = "fromfpxf")
@@ -2337,6 +2549,8 @@ libc_math_function(name = "fromfpxl")
 
 libc_math_function(name = "fromfpxf128")
 
+libc_math_function(name = "fromfpxf16")
+
 libc_math_function(
     name = "fsqrt",
     additional_deps = [
@@ -2372,6 +2586,8 @@ libc_math_function(name = "getpayloadl")
 
 libc_math_function(name = "getpayloadf128")
 
+libc_math_function(name = "getpayloadf16")
+
 libc_math_function(name = "hypot")
 
 libc_math_function(
@@ -2390,6 +2606,8 @@ libc_math_function(name = "ilogbl")
 
 libc_math_function(name = "ilogbf128")
 
+libc_math_function(name = "ilogbf16")
+
 libc_math_function(name = "ldexp")
 
 libc_math_function(name = "ldexpf")
@@ -2398,6 +2616,8 @@ libc_math_function(name = "ldexpl")
 
 libc_math_function(name = "ldexpf128")
 
+libc_math_function(name = "ldexpf16")
+
 libc_math_function(name = "llogb")
 
 libc_math_function(name = "llogbf")
@@ -2406,6 +2626,8 @@ libc_math_function(name = "llogbl")
 
 libc_math_function(name = "llogbf128")
 
+libc_math_function(name = "llogbf16")
+
 libc_math_function(name = "llrint")
 
 libc_math_function(name = "llrintf")
@@ -2414,6 +2636,8 @@ libc_math_function(name = "llrintl")
 
 libc_math_function(name = "llrintf128")
 
+libc_math_function(name = "llrintf16")
+
 libc_math_function(name = "llround")
 
 libc_math_function(name = "llroundf")
@@ -2422,6 +2646,8 @@ libc_math_function(name = "llroundl")
 
 libc_math_function(name = "llroundf128")
 
+libc_math_function(name = "llroundf16")
+
 libc_math_function(
     name = "log",
     additional_deps = [
@@ -2450,6 +2676,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "logf16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "log10",
     additional_deps = [
@@ -2478,6 +2711,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "log10f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "log1p",
     additional_deps = [
@@ -2532,6 +2772,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "log2f16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(name = "logb")
 
 libc_math_function(name = "logbf")
@@ -2540,6 +2787,8 @@ libc_math_function(name = "logbl")
 
 libc_math_function(name = "logbf128")
 
+libc_math_function(name = "logbf16")
+
 libc_math_function(name = "lrint")
 
 libc_math_function(name = "lrintf")
@@ -2548,6 +2797,8 @@ libc_math_function(name = "lrintl")
 
 libc_math_function(name = "lrintf128")
 
+libc_math_function(name = "lrintf16")
+
 libc_math_function(name = "lround")
 
 libc_math_function(name = "lroundf")
@@ -2556,6 +2807,8 @@ libc_math_function(name = "lroundl")
 
 libc_math_function(name = "lroundf128")
 
+libc_math_function(name = "lroundf16")
+
 libc_math_function(name = "modf")
 
 libc_math_function(name = "modff")
@@ -2564,6 +2817,8 @@ libc_math_function(name = "modfl")
 
 libc_math_function(name = "modff128")
 
+libc_math_function(name = "modff16")
+
 libc_math_function(
     name = "nan",
     additional_deps = [
@@ -2596,6 +2851,14 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "nanf16",
+    additional_deps = [
+        ":__support_str_to_float",
+        ":errno",
+    ],
+)
+
 libc_math_function(name = "nearbyint")
 
 libc_math_function(name = "nearbyintf")
@@ -2604,6 +2867,8 @@ libc_math_function(name = "nearbyintl")
 
 libc_math_function(name = "nearbyintf128")
 
+libc_math_function(name = "nearbyintf16")
+
 libc_math_function(name = "nextafter")
 
 libc_math_function(name = "nextafterf")
@@ -2612,6 +2877,8 @@ libc_math_function(name = "nextafterl")
 
 libc_math_function(name = "nextafterf128")
 
+libc_math_function(name = "nextafterf16")
+
 libc_math_function(name = "nextdown")
 
 libc_math_function(name = "nextdownf")
@@ -2620,10 +2887,14 @@ libc_math_function(name = "nextdownl")
 
 libc_math_function(name = "nextdownf128")
 
+libc_math_function(name = "nextdownf16")
+
 libc_math_function(name = "nexttoward")
 
 libc_math_function(name = "nexttowardf")
 
+libc_math_function(name = "nexttowardf16")
+
 libc_math_function(name = "nexttowardl")
 
 libc_math_function(name = "nextup")
@@ -2634,6 +2905,8 @@ libc_math_function(name = "nextupl")
 
 libc_math_function(name = "nextupf128")
 
+libc_math_function(name = "nextupf16")
+
 libc_math_function(
     name = "pow",
     additional_deps = [
@@ -2671,6 +2944,8 @@ libc_math_function(name = "remainderl")
 
 libc_math_function(name = "remainderf128")
 
+libc_math_function(name = "remainderf16")
+
 libc_math_function(name = "remquo")
 
 libc_math_function(name = "remquof")
@@ -2679,6 +2954,8 @@ libc_math_function(name = "remquol")
 
 libc_math_function(name = "remquof128")
 
+libc_math_function(name = "remquof16")
+
 libc_math_function(name = "rint")
 
 libc_math_function(name = "rintf")
@@ -2687,6 +2964,8 @@ libc_math_function(name = "rintl")
 
 libc_math_function(name = "rintf128")
 
+libc_math_function(name = "rintf16")
+
 libc_math_function(name = "round")
 
 libc_math_function(name = "roundf")
@@ -2695,6 +2974,8 @@ libc_math_function(name = "roundl")
 
 libc_math_function(name = "roundf128")
 
+libc_math_function(name = "roundf16")
+
 libc_math_function(name = "roundeven")
 
 libc_math_function(name = "roundevenf")
@@ -2703,6 +2984,8 @@ libc_math_function(name = "roundevenl")
 
 libc_math_function(name = "roundevenf128")
 
+libc_math_function(name = "roundevenf16")
+
 libc_math_function(name = "scalbln")
 
 libc_math_function(name = "scalblnf")
@@ -2711,6 +2994,8 @@ libc_math_function(name = "scalblnl")
 
 libc_math_function(name = "scalblnf128")
 
+libc_math_function(name = "scalblnf16")
+
 libc_math_function(name = "scalbn")
 
 libc_math_function(name = "scalbnf")
@@ -2719,6 +3004,8 @@ libc_math_function(name = "scalbnl")
 
 libc_math_function(name = "scalbnf128")
 
+libc_math_function(name = "scalbnf16")
+
 libc_math_function(name = "setpayload")
 
 libc_math_function(name = "setpayloadf")
@@ -2727,6 +3014,8 @@ libc_math_function(name = "setpayloadl")
 
 libc_math_function(name = "setpayloadf128")
 
+libc_math_function(name = "setpayloadf16")
+
 libc_math_function(name = "setpayloadsig")
 
 libc_math_function(name = "setpayloadsigf")
@@ -2735,6 +3024,8 @@ libc_math_function(name = "setpayloadsigl")
 
 libc_math_function(name = "setpayloadsigf128")
 
+libc_math_function(name = "setpayloadsigf16")
+
 libc_math_function(
     name = "sin",
     additional_deps = [
@@ -2797,6 +3088,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "sinhf16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(
     name = "sinpif",
     additional_deps = [
@@ -2804,6 +3102,15 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "sinpif16",
+    additional_deps = [
+        ":__support_fputil_nearest_integer",
+        ":__support_fputil_polyeval",
+        ":sincosf16_utils",
+    ],
+)
+
 libc_math_function(
     name = "sqrt",
     additional_deps = [
@@ -2832,6 +3139,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "sqrtf16",
+    additional_deps = [
+        ":__support_fputil_sqrt",
+    ],
+)
+
 libc_math_function(
     name = "tan",
     additional_deps = [
@@ -2872,6 +3186,13 @@ libc_math_function(
     ],
 )
 
+libc_math_function(
+    name = "tanhf16",
+    additional_deps = [
+        ":expxf16",
+    ],
+)
+
 libc_math_function(name = "totalorder")
 
 libc_math_function(name = "totalorderf")
@@ -2880,6 +3201,8 @@ libc_math_function(name = "totalorderl")
 
 libc_math_function(name = "totalorderf128")
 
+libc_math_function(name = "totalorderf16")
+
 libc_math_function(name = "totalordermag")
 
 libc_math_function(name = "totalordermagf")
@@ -2888,6 +3211,8 @@ libc_math_function(name = "totalordermagl")
 
 libc_math_function(name = "totalordermagf128")
 
+libc_math_function(name = "totalordermagf16")
+
 libc_math_function(name = "trunc")
 
 libc_math_function(name = "truncf")
@@ -2896,6 +3221,8 @@ libc_math_function(name = "truncl")
 
 libc_math_function(name = "truncf128")
 
+libc_math_function(name = "truncf16")
+
 libc_math_function(name = "ufromfp")
 
 libc_math_function(name = "ufromfpf")
@@ -2904,6 +3231,8 @@ libc_math_function(name = "ufromfpl")
 
 libc_math_function(name = "ufromfpf128")
 
+libc_math_function(name = "ufromfpf16")
+
 libc_math_function(name = "ufromfpx")
 
 libc_math_function(name = "ufromfpxf")
@@ -2912,6 +3241,8 @@ libc_math_function(name = "ufromfpxl")
 
 libc_math_function(name = "ufromfpxf128")
 
+libc_math_function(name = "ufromfpxf16")
+
 ############################## inttypes targets ##############################
 
 libc_function(