Instruction
VPMULHUW
Multiplies unsigned words and keeps the high 16 bits of each product.
VPMULHUW multiplies unsigned words and keeps the high 16 bits of each
32-bit product: the VEX and EVEX form of PMULHUW,
whose page shows it multiplying by a fraction and dividing by
constants. VPMULHW is the signed twin, with the same
encodings: AVX and AVX2 for VEX, AVX512BW or AVX10.1 for EVEX, with a
write mask per word but no broadcast. On Zen 5, vpmulhuw ymm1, ymm2, ymm3 gave 7FFFh for 8000h times FFFFh, where VPMULHW’s recorded case
gave 0000h for the same pair, 7FFEh for 7FFFh times FFFFh and 4000h
for 8000h times 8000h, the one product on which both agree. vpmulhuw ymm7{k7}{z}, ymm12, ymm7 kept FFFEh, the top of FFFFh squared, in
word 0 and zeroed the six words K7 leaves out.
In compiled code
In our builds at -O2 over fixed-size uint16_t arrays,
((uint32_t)b[i] * c[i]) >> 16 is one VPMULHUW per vector in GCC 14
and Clang 23, on ymm registers with -march=x86-64-v3 and on zmm
registers in GCC with -march=x86-64-v4. Division by constants keeps
the sequences of the SSE2 baseline: b[i] / 10 is VPMULHUW by CCCDh
and a VPSRLW by 3, and b[i] / 7 adds the correction with VPSUBW,
VPSRLW and VPADDW. At -v4 GCC broadcasts the factor straight from a
general-purpose register with VPBROADCASTW.
The full products, (uint32_t)b[i] * c[i], no longer need the pair.
Clang zero-extends both operands with VPMOVZXWD and
multiplies doublewords with VPMULLD at both levels,
where for SSE2 it combined PMULLW and PMULHUW. GCC
still pairs VPMULLW and VPMULHUW at -v3, interleaving within the
128-bit lanes and repairing the order with two VPERM2I128, and turns
to VPMOVZXWD and VPMULLD on zmm registers at -v4.
AMD’s latency spreadsheet for Zen 5 gives the VEX and EVEX rows alike three cycles, two per cycle on pipes FP0 and FP1.
Forms
| Instruction | Encoding | Requires |
|---|---|---|
VPMULHUW xmm, xmm, m128
VPMULHUW_XMMdq_XMMdq_MEMdq | VEX.128.66.0F.WIG E4 /r | AVX |
VPMULHUW xmm, xmm, xmm
VPMULHUW_XMMdq_XMMdq_XMMdq | VEX.128.66.0F.WIG E4 /r | AVX |
VPMULHUW ymm, ymm, m256
VPMULHUW_YMMqq_YMMqq_MEMqq | VEX.256.66.0F.WIG E4 /r | AVX2 |
VPMULHUW ymm, ymm, ymm
VPMULHUW_YMMqq_YMMqq_YMMqq | VEX.256.66.0F.WIG E4 /r | AVX2 |
VPMULHUW xmm {k}{z}, xmm, xmm
VPMULHUW_XMMu16_MASKmskw_XMMu16_XMMu16_AVX512 | EVEX.128.66.0F.WIG E4 /r | AVX10.1 or AVX512BW + AVX512VL |
VPMULHUW xmm {k}{z}, xmm, m128
VPMULHUW_XMMu16_MASKmskw_XMMu16_MEMu16_AVX512 | EVEX.128.66.0F.WIG E4 /r | AVX10.1 or AVX512BW + AVX512VL |
VPMULHUW ymm {k}{z}, ymm, ymm
VPMULHUW_YMMu16_MASKmskw_YMMu16_YMMu16_AVX512 | EVEX.256.66.0F.WIG E4 /r | AVX10.1 or AVX512BW + AVX512VL |
VPMULHUW ymm {k}{z}, ymm, m256
VPMULHUW_YMMu16_MASKmskw_YMMu16_MEMu16_AVX512 | EVEX.256.66.0F.WIG E4 /r | AVX10.1 or AVX512BW + AVX512VL |
VPMULHUW zmm {k}{z}, zmm, zmm
VPMULHUW_ZMMu16_MASKmskw_ZMMu16_ZMMu16_AVX512 | EVEX.512.66.0F.WIG E4 /r | AVX10.1 or AVX512BW |
VPMULHUW zmm {k}{z}, zmm, m512
VPMULHUW_ZMMu16_MASKmskw_ZMMu16_MEMu16_AVX512 | EVEX.512.66.0F.WIG E4 /r | AVX10.1 or AVX512BW |
Latency and throughput
| Model | xmm, xmm, m128xmm {k}{z}, xmm, m128no mask | xmm, xmm, xmmxmm {k}{z}, xmm, xmmno maskymm {k}{z}, ymm, ymmno mask | ymm, ymm, m256ymm {k}{z}, ymm, m256no mask | ymm, ymm, ymm | xmm {k}{z}, xmm, xmmwith a mask, zeroingymm {k}{z}, ymm, ymmwith a mask, zeroing | xmm {k}{z}, xmm, m128with a mask, zeroing | ymm {k}{z}, ymm, m256with a mask, zeroing | zmm {k}{z}, zmm, zmmno mask | zmm {k}{z}, zmm, zmmwith a mask, zeroing | zmm {k}{z}, zmm, m512no mask | zmm {k}{z}, zmm, m512with a mask, zeroing |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Sandy Bridge | 11 / 1p0 | 5 / 1p0 | |||||||||
| Haswell | 11 / 1p0 | 5 / 1p0 | 12 / 1p0 | 5 / 1p0 | |||||||
| Broadwell | 10 / 1p0 | 5 / 1p0 | 11 / 1p0 | 5 / 1p0 | |||||||
| Skylake | 11 / 0.5p01 | 5 / 0.5p01 | 12 / 0.5p01 | 5 / 0.5p01 | |||||||
| Skylake-SP, Ice Lake | 11 / 0.5p01 | 5 / 0.5p01 | 12 / 0.5p01 | 5 / 0.5p01 | 5 / 0.5p01 | 11 / 0.5p01 | 12 / 0.5p01 | 5 / 0.5p05 | 5 / 0.5p05 | 12 / 0.5p05 | 12 / 0.5p05 |
| Alder Lake | 13 / 0.5p01 | 5 / 0.5p01 | 13 / 0.5p01 | 5 / 0.5p01 | |||||||
| Sapphire Rapids | 13 / 0.5p01 | 5 / 0.5p01 | 13 / 0.5p01 | 5 / 0.5p01 | 7 / 0.5p01 | 14 / 0.5p01 | 14 / 0.5p01 | 5 / 1p0 | 7 / 1p0 | 13 / 1p0 | 14 / 1p0 |
| Lunar Lake | 10 / 2V0 V1 | 4 / 2V0 V1 | 11 / 2.33V0 V1 | 4 / 2V0 V1 | |||||||
| Piledriver | 9 / 1.5FPMMA FPU0 | 4 / 1FPMMA FPU0 | |||||||||
| Zen | 11 / 1FPU0 | 4 / 1FPU0 | 11 / 2FPU0 | 4 / 2FPU0 | |||||||
| Zen 2 | 11 / 1FPU0 | 4 / 1FPU0 | 11 / 1FPU0 | 4 / 1FPU0 | |||||||
| Zen 3 | 10 / 0.5FP0 FP3 | 3 / 0.5FP0 FP3 | 10 / 0.5FP0 FP3 | 3 / 0.5FP0 FP3 | |||||||
| Zen 4 | 10 / 0.5FP0 FP3 | 3 / 0.5FP0 FP3 | 10 / 0.5FP0 FP3 | 3 / 0.5FP0 FP3 | 3 / 0.5FP0 FP3 | 10 / 0.5FP0 FP3 | 10 / 0.5FP0 FP3 | 3 / 1FP0 FP3 | 3 / 1FP0 FP3 | 10 / 1FP0 FP3 | 10 / 1FP0 FP3 |
| Jaguar | 7 / 1FPU0 VIMUL | 2 / 1FPU0 VIMUL | |||||||||
Data flow
Where the elements of the sources go, element 0 on the right; results that depend on a control value are drawn for an example. How to read.
Every word works alike: 8, 16 and 32 words in the xmm, ymm and zmm forms. The EVEX forms write under a mask: where its bit is 0, the element keeps its old value, or zeroes it with {z}.
Result word i comes from word i of xmm2 and xmm3. Result words 7 to 0: r7, unchanged (bit 6 of k1 is 0), r5, r4, r3, r2, r1, r0.
Operation
What the forms do, in pseudocode that our tests run against results recorded on real processors. How to read.
for i in range(VL // 16):
if k1[i]: # 1 without a write mask
a = zmm2.w[i]
b = src3.w[i]
zmm1.w[i] = a * b >> 16
elif zeroing:
zmm1.w[i] = 0
# else: zmm1.w[i] keeps its value
# zmm1 is zeroed from bit VL upRun on AMD Zen 5 (EPYC 9645): 10 cases.
Operands
| Operand | Kind | Action |
|---|---|---|
VPMULHUW xmm, xmm, xmm/m128 VPMULHUW ymm, ymm, ymm/m256 | ||
xmm, ymm | explicit | write |
xmm, ymm | explicit | read |
xmm/m128, ymm/m256 | explicit | read |
VPMULHUW xmm {k}{z}, xmm, xmm/m128 VPMULHUW ymm {k}{z}, ymm, ymm/m256 VPMULHUW zmm {k}{z}, zmm, zmm/m512 | ||
xmm, ymm, zmm | explicit | write (masked) |
{k} | explicit | read (write mask) |
xmm, ymm, zmm | explicit | read |
xmm/m128, ymm/m256, zmm/m512 | explicit | read |
Flags
None: XED records no flag that the forms test or change.
Exceptions
The exception class is XED's name for the set of exception conditions that a form follows. How to read.
- VEX forms
avx-type-4- EVEX forms
AVX512-E4
Attributes
What else XED records about the forms. How to read.
- EVEX forms
- write masking
- EVEX memory forms
- memory fault suppression
Intrinsics
The C intrinsics of Clang 23.1.2 that compile to VPMULHUW, each with the form it compiles to and the Clang options it needs. The forms come from compiling every intrinsic and decoding the result with Intel XED; all intrinsics A–Z explains the method.
| Intrinsic | Compiles to |
|---|---|
_mm_mulhi_epu16
__m128i _mm_mulhi_epu16(__m128i __a, __m128i __b) |
|
_mm_mask_mulhi_epu16
__m128i _mm_mask_mulhi_epu16(__m128i __W, __mmask8 __U, __m128i __A, __m128i __B) |
|
_mm_maskz_mulhi_epu16
__m128i _mm_maskz_mulhi_epu16(__mmask8 __U, __m128i __A, __m128i __B) |
|
_mm256_mulhi_epu16
__m256i _mm256_mulhi_epu16(__m256i __a, __m256i __b) |
|
_mm256_mask_mulhi_epu16
__m256i _mm256_mask_mulhi_epu16(__m256i __W, __mmask16 __U, __m256i __A, __m256i __B) |
|
_mm256_maskz_mulhi_epu16
__m256i _mm256_maskz_mulhi_epu16(__mmask16 __U, __m256i __A, __m256i __B) |
|
_mm512_mulhi_epu16
__m512i _mm512_mulhi_epu16(__m512i __A, __m512i __B) |
|
_mm512_mask_mulhi_epu16
__m512i _mm512_mask_mulhi_epu16(__m512i __W, __mmask32 __U, __m512i __A, __m512i __B) |
|
_mm512_maskz_mulhi_epu16
__m512i _mm512_maskz_mulhi_epu16(__mmask32 __U, __m512i __A, __m512i __B) |
|
CPUID and processors
Each form belongs to an XED ISA set. A form can be used when the processor reports every CPUID bit of one of its ISA set's alternatives.
More AVX instructions
- VPMINSD
- VPMINSW
- VPMINUB
- VPMINUD
- VPMINUW
- VPMOVMSKB
- VPMOVSXBD
- VPMOVSXBQ
- VPMOVSXBW
- VPMOVSXDQ
- VPMOVSXWD
- VPMOVSXWQ
- VPMOVZXBD
- VPMOVZXBQ
- VPMOVZXBW
- VPMOVZXDQ
- VPMOVZXWD
- VPMOVZXWQ
- VPMULDQ
- VPMULHRSW
- VPMULHW
- VPMULLD
- VPMULLW
- VPMULUDQ
- VPOR
- VPSADBW
- VPSHUFB
- VPSHUFD
- VPSHUFHW
- VPSHUFLW
- VPSIGNB
- VPSIGND
- VPSIGNW
- VPSLLD
- VPSLLDQ
- VPSLLQ
- VPSLLW
- VPSRAD
- VPSRAW
- VPSRLD
More AVX2 instructions
- VPMINSD
- VPMINSW
- VPMINUB
- VPMINUD
- VPMINUW
- VPMOVMSKB
- VPMOVSXBD
- VPMOVSXBQ
- VPMOVSXBW
- VPMOVSXDQ
- VPMOVSXWD
- VPMOVSXWQ
- VPMOVZXBD
- VPMOVZXBQ
- VPMOVZXBW
- VPMOVZXDQ
- VPMOVZXWD
- VPMOVZXWQ
- VPMULDQ
- VPMULHRSW
- VPMULHW
- VPMULLD
- VPMULLW
- VPMULUDQ
- VPOR
- VPSADBW
- VPSHUFB
- VPSHUFD
- VPSHUFHW
- VPSHUFLW
- VPSIGNB
- VPSIGND
- VPSIGNW
- VPSLLD
- VPSLLDQ
- VPSLLQ
- VPSLLVD
- VPSLLVQ
- VPSLLW
- VPSRAD
More AVX10.1 instructions
- VPMOVSXBW
- VPMOVSXDQ
- VPMOVSXWD
- VPMOVSXWQ
- VPMOVUSDB
- VPMOVUSDW
- VPMOVUSQB
- VPMOVUSQD
- VPMOVUSQW
- VPMOVUSWB
- VPMOVW2M
- VPMOVWB
- VPMOVZXBD
- VPMOVZXBQ
- VPMOVZXBW
- VPMOVZXDQ
- VPMOVZXWD
- VPMOVZXWQ
- VPMULDQ
- VPMULHRSW
- VPMULHW
- VPMULLD
- VPMULLQ
- VPMULLW
- VPMULTISHIFTQB
- VPMULUDQ
- VPOPCNTB
- VPOPCNTD
- VPOPCNTQ
- VPOPCNTW
- VPORD
- VPORQ
- VPROLD
- VPROLQ
- VPROLVD
- VPROLVQ
- VPRORD
- VPRORQ
- VPRORVD
- VPRORVQ
Sources
- Intel XED v2026.08.23 (commit
0bcb6237345c): forms, encodings, operands, flags, exception classes, attributes, ISA sets, CPUID bits and chip model. - The CPU data of x86-64.net: Zen 3 to Zen 6, from GCC’s
-marchfeature sets and AMD’s Processor Programming References, which the page of each processor cites. - Clang's x86 intrinsic headers, LLVM 23.1.2 (commit
85ac56026243): the intrinsics, their signatures and doc comments, and the Clang of that release, which compiled each of them. - LLVM 23.1.2's x86 scheduling models (commit
85ac56026243): the latency, reciprocal throughput and ports of each form, as llvm-mca reports them. - Intel 64 and IA-32 Architectures Software Developer's Manual, Volume 2 (325383-093, September 2026): Volume 2B, page 4-379 (PMULHUW)
- Intel 64 and IA-32 Architectures Software Developer's Manual, Volume 1 (253665-093, September 2026)
- Intel Advanced Vector Extensions 10.2 Architecture Specification, revision 7.0 (361050-007, April 2026)
- Software Optimization Guide for the AMD Zen5 Microarchitecture (58455, rev. 1.00, August 2024), Wayback Machine copy of AMD's ZIP
The tables are derived from Intel XED, Copyright Intel Corporation, licensed under the Apache License 2.0; x86-64.net converted and reformatted them. The intrinsics and their signatures come from Clang and the timings from LLVM's scheduling models, both part of the LLVM Project, licensed under the Apache License 2.0 with LLVM Exceptions. The text is our own.