Instruction
VPMULUDQ
Multiplies the unsigned low doublewords of each quadword into 64-bit products.
VPMULUDQ is PMULUDQ in VEX and EVEX encodings: the low
doubleword of each quadword times the low doubleword of the matching
quadword of the other source, unsigned, into a full 64-bit product. The
PMULUDQ page covers its uses, widening products, division by a constant
and big-number arithmetic. The high doublewords play no part: on Zen 5,
vpmuludq ymm8, ymm15, ymm0 multiplied FFFFFFFFh by FFFFFFFFh into
FFFFFFFE00000001h in its top element, although the quadwords held
7FFFFFFFFFFFFFFFh and 00000001FFFFFFFFh.
What the newer encodings add:
- Width. Four products per ymm register with AVX2, eight per zmm register with AVX512F, and a separate destination.
- A mask per quadword, each bit choosing one product.
- A broadcast quadword, of which again only the low half counts. On
Zen 5,
vpmuludq zmm0{k2}, zmm31, qword bcst [mem]with 0000000080000000h in memory gave 4000000000000000h for an element whose low doubleword was 80000000h, and 3FFFFFFF80000000h for one holding 7FFFFFFFh.
In compiled code
AVX2 has no 64-bit multiply: the VPMULLQ page shows
how GCC 14 and Clang 23 at -O2 with -march=x86-64-v3 assemble the low
product of uint64_t elements from three VPMULUDQs, and how
-march=x86-64-v4 replaces them with VPMULLQ.
For the widening w[i] = (uint64_t)u[i] * v[i], Clang zero-extends each
input with VPMOVZXDQ and multiplies with VPMULUDQ at
both levels. GCC spreads the inputs with VPERMQ and VPSHUFD for -v3,
but with -v4 zero-extends them and uses VPMULLQ, a full 64-bit
multiply where a 32-bit one would do. By AMD’s figures that costs
nothing on Zen 5: its latency spreadsheet gives VPMULLQ and VPMULUDQ the
same entry, one macro-op on pipe 0 or 1, a latency of 3 cycles and two
per cycle, against one cycle and four per cycle for VPADDQ.
Zen 5’s 10 recorded cases cover every form, masked and zeroing, two with a broadcast quadword.
Forms
| Instruction | Encoding | Requires |
|---|---|---|
VPMULUDQ xmm, xmm, m128
VPMULUDQ_XMMdq_XMMdq_MEMdq | VEX.128.66.0F.WIG F4 /r | AVX |
VPMULUDQ xmm, xmm, xmm
VPMULUDQ_XMMdq_XMMdq_XMMdq | VEX.128.66.0F.WIG F4 /r | AVX |
VPMULUDQ ymm, ymm, m256
VPMULUDQ_YMMqq_YMMqq_MEMqq | VEX.256.66.0F.WIG F4 /r | AVX2 |
VPMULUDQ ymm, ymm, ymm
VPMULUDQ_YMMqq_YMMqq_YMMqq | VEX.256.66.0F.WIG F4 /r | AVX2 |
VPMULUDQ zmm {k}{z}, zmm, zmm
VPMULUDQ_ZMMu64_MASKmskw_ZMMu64_ZMMu64_AVX512 | EVEX.512.66.0F.W1 F4 /r | AVX10.1 or AVX512F |
VPMULUDQ zmm {k}{z}, zmm, m512/m64bcst
VPMULUDQ_ZMMu64_MASKmskw_ZMMu64_MEMu64_AVX512 | EVEX.512.66.0F.W1 F4 /r | AVX10.1 or AVX512F |
VPMULUDQ xmm {k}{z}, xmm, xmm
VPMULUDQ_XMMu64_MASKmskw_XMMu64_XMMu64_AVX512 | EVEX.128.66.0F.W1 F4 /r | AVX10.1 or AVX512F + AVX512VL |
VPMULUDQ xmm {k}{z}, xmm, m128/m64bcst
VPMULUDQ_XMMu64_MASKmskw_XMMu64_MEMu64_AVX512 | EVEX.128.66.0F.W1 F4 /r | AVX10.1 or AVX512F + AVX512VL |
VPMULUDQ ymm {k}{z}, ymm, ymm
VPMULUDQ_YMMu64_MASKmskw_YMMu64_YMMu64_AVX512 | EVEX.256.66.0F.W1 F4 /r | AVX10.1 or AVX512F + AVX512VL |
VPMULUDQ ymm {k}{z}, ymm, m256/m64bcst
VPMULUDQ_YMMu64_MASKmskw_YMMu64_MEMu64_AVX512 | EVEX.256.66.0F.W1 F4 /r | AVX10.1 or AVX512F + AVX512VL |
Latency and throughput
| Model | xmm, xmm, m128xmm {k}{z}, xmm, m128/m64bcst | xmm, xmm, xmmxmm {k}{z}, xmm, xmmymm {k}{z}, ymm, ymm | ymm, ymm, m256ymm {k}{z}, ymm, m256/m64bcst | ymm, ymm, ymm | zmm {k}{z}, zmm, zmm | zmm {k}{z}, zmm, m512/m64bcst |
|---|---|---|---|---|---|---|
| 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 / 0.5p05 | 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 | 5 / 1p0 | 13 / 1p0 |
| Lunar Lake | 9 / 2V0 V1 | 3 / 1.5V0 V1 | 10 / 2.33V0 V1 | 3 / 1.5V0 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 / 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.
The ymm and zmm forms repeat this in each 128-bit lane. The EVEX forms write under a mask: where its bit is 0, the element keeps its old value, or zeroes it with {z}.
Result quadword i comes from doubleword 2i of xmm2 and xmm3. Result quadwords 1 to 0: a2, a0.
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 // 64):
if k1[i]: # 1 without a write mask
a = zmm2.d[2 * i]
b = src3.d[2 * i]
zmm1.q[i] = a * b
elif zeroing:
zmm1.q[i] = 0
# else: zmm1.q[i] keeps its value
# m64bcst: src3.q[i] is the m64 for every i
# zmm1 is zeroed from bit VL upRun on AMD Zen 5 (EPYC 9645): 10 cases.
Operands
| Operand | Kind | Action |
|---|---|---|
VPMULUDQ xmm, xmm, xmm/m128 VPMULUDQ ymm, ymm, ymm/m256 | ||
xmm, ymm | explicit | write |
xmm, ymm | explicit | read |
xmm/m128, ymm/m256 | explicit | read |
VPMULUDQ xmm {k}{z}, xmm, xmm/m128/m64bcst VPMULUDQ ymm {k}{z}, ymm, ymm/m256/m64bcst VPMULUDQ zmm {k}{z}, zmm, zmm/m512/m64bcst | ||
xmm, ymm, zmm | explicit | write (masked) |
{k} | explicit | read (write mask) |
xmm, ymm, zmm | explicit | read |
xmm/m128/m64bcst, ymm/m256/m64bcst, zmm/m512/m64bcst | 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
- embedded broadcast (tuple Full); memory fault suppression
Intrinsics
The C intrinsics of Clang 23.1.2 that compile to VPMULUDQ, 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_mul_epu32
__m128i _mm_mul_epu32(__m128i __a, __m128i __b) |
|
_mm_mask_mul_epu32
__m128i _mm_mask_mul_epu32(__m128i __W, __mmask8 __M, __m128i __X, __m128i __Y) |
|
_mm_maskz_mul_epu32
__m128i _mm_maskz_mul_epu32(__mmask8 __M, __m128i __X, __m128i __Y) |
|
_mm256_mul_epu32
__m256i _mm256_mul_epu32(__m256i __a, __m256i __b) |
|
_mm256_mask_mul_epu32
__m256i _mm256_mask_mul_epu32(__m256i __W, __mmask8 __M, __m256i __X, __m256i __Y) |
|
_mm256_maskz_mul_epu32
__m256i _mm256_maskz_mul_epu32(__mmask8 __M, __m256i __X, __m256i __Y) |
|
_mm512_mul_epu32
__m512i _mm512_mul_epu32(__m512i __X, __m512i __Y) |
|
_mm512_mask_mul_epu32
__m512i _mm512_mask_mul_epu32(__m512i __W, __mmask8 __M, __m512i __X, __m512i __Y) |
|
_mm512_maskz_mul_epu32
__m512i _mm512_maskz_mul_epu32(__mmask8 __M, __m512i __X, __m512i __Y) |
|
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
- VPMINUW
- VPMOVMSKB
- VPMOVSXBD
- VPMOVSXBQ
- VPMOVSXBW
- VPMOVSXDQ
- VPMOVSXWD
- VPMOVSXWQ
- VPMOVZXBD
- VPMOVZXBQ
- VPMOVZXBW
- VPMOVZXDQ
- VPMOVZXWD
- VPMOVZXWQ
- VPMULDQ
- VPMULHRSW
- VPMULHUW
- VPMULHW
- VPMULLD
- VPMULLW
- VPOR
- VPSADBW
- VPSHUFB
- VPSHUFD
- VPSHUFHW
- VPSHUFLW
- VPSIGNB
- VPSIGND
- VPSIGNW
- VPSLLD
- VPSLLDQ
- VPSLLQ
- VPSLLW
- VPSRAD
- VPSRAW
- VPSRLD
- VPSRLDQ
- VPSRLQ
- VPSRLW
- VPSUBB
More AVX2 instructions
- VPMINUW
- VPMOVMSKB
- VPMOVSXBD
- VPMOVSXBQ
- VPMOVSXBW
- VPMOVSXDQ
- VPMOVSXWD
- VPMOVSXWQ
- VPMOVZXBD
- VPMOVZXBQ
- VPMOVZXBW
- VPMOVZXDQ
- VPMOVZXWD
- VPMOVZXWQ
- VPMULDQ
- VPMULHRSW
- VPMULHUW
- VPMULHW
- VPMULLD
- VPMULLW
- VPOR
- VPSADBW
- VPSHUFB
- VPSHUFD
- VPSHUFHW
- VPSHUFLW
- VPSIGNB
- VPSIGND
- VPSIGNW
- VPSLLD
- VPSLLDQ
- VPSLLQ
- VPSLLVD
- VPSLLVQ
- VPSLLW
- VPSRAD
- VPSRAVD
- VPSRAW
- VPSRLD
- VPSRLDQ
More AVX10.1 instructions
- VPMOVUSQB
- VPMOVUSQD
- VPMOVUSQW
- VPMOVUSWB
- VPMOVW2M
- VPMOVWB
- VPMOVZXBD
- VPMOVZXBQ
- VPMOVZXBW
- VPMOVZXDQ
- VPMOVZXWD
- VPMOVZXWQ
- VPMULDQ
- VPMULHRSW
- VPMULHUW
- VPMULHW
- VPMULLD
- VPMULLQ
- VPMULLW
- VPMULTISHIFTQB
- VPOPCNTB
- VPOPCNTD
- VPOPCNTQ
- VPOPCNTW
- VPORD
- VPORQ
- VPROLD
- VPROLQ
- VPROLVD
- VPROLVQ
- VPRORD
- VPRORQ
- VPRORVD
- VPRORVQ
- VPSADBW
- VPSCATTERDD
- VPSCATTERDQ
- VPSCATTERQD
- VPSCATTERQQ
- VPSHLDD
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 4-395 (PMULUDQ)
- 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.