Extensions
Forms
6 (6 EVEX)
Data
Intel XED v2026.08.23

VFNMADD231BF16 computes -(op2 × op3) + op1 for each bfloat16 element, 8, 16 or 32 per register, rounds once to nearest even and writes the result over op1. It is the 231 order of AVX10.2’s negated multiply-add, one of the twelve forms that VFMADD132BF16’s page describes with their shared rules: denormal inputs and results taken as zeros, no exceptions and no MXCSR. Its opcode is BCh in EVEX map 6 with no prefix and W0; VFNMADD231PH has the same byte with 66. Only op3 may come from memory or be broadcast from 16 bits.

VFNMADD231PS explains the operation and the three orders for singles. Under merge masking an element whose mask bit is clear keeps op1, here the addend.

In our builds

GCC 14 has no AVX10.2 option. Clang 23 at -O2 with -mavx10.2 compiles _mm512_mask3_fnmadd_pbh(a, b, c, k), which keeps c where the mask is clear, to vfnmadd231bf16 zmm2 {k1}, zmm0, zmm1 and a move of the result. A loop s = _mm512_fnmadd_pbh(x[i], y[i], s) uses it on every pass, with y from memory. No AVX10.2 processor appears in this site’s recorded cases.

Forms

Every encoding of VFNMADD231BF16 that Intel XED knows, one row per XED instruction form (iform). How to read the notation.
InstructionEncodingRequires
VFNMADD231BF16 xmm {k}{z}, xmm, xmm VFNMADD231BF16_XMMbf16_MASKmskw_XMMbf16_XMMbf16_AVX512EVEX.128.NP.MAP6.W0 BC /rAVX10.2
VFNMADD231BF16 xmm {k}{z}, xmm, m128/m16bcst VFNMADD231BF16_XMMbf16_MASKmskw_XMMbf16_MEMbf16_AVX512EVEX.128.NP.MAP6.W0 BC /rAVX10.2
VFNMADD231BF16 ymm {k}{z}, ymm, ymm VFNMADD231BF16_YMMbf16_MASKmskw_YMMbf16_YMMbf16_AVX512EVEX.256.NP.MAP6.W0 BC /rAVX10.2
VFNMADD231BF16 ymm {k}{z}, ymm, m256/m16bcst VFNMADD231BF16_YMMbf16_MASKmskw_YMMbf16_MEMbf16_AVX512EVEX.256.NP.MAP6.W0 BC /rAVX10.2
VFNMADD231BF16 zmm {k}{z}, zmm, zmm VFNMADD231BF16_ZMMbf16_MASKmskw_ZMMbf16_ZMMbf16_AVX512EVEX.512.NP.MAP6.W0 BC /rAVX10.2
VFNMADD231BF16 zmm {k}{z}, zmm, m512/m16bcst VFNMADD231BF16_ZMMbf16_MASKmskw_ZMMbf16_MEMbf16_AVX512EVEX.512.NP.MAP6.W0 BC /rAVX10.2

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.

Element-wise: each bfloat16 of the result comes from the bfloat16 in the same place in each source.
VFNMADD231BF16: element by elementResult bfloat16 i comes from bfloat16 i of xmm1, xmm2 and xmm3. Result bfloat16s 7 to 0: r7, unchanged (bit 6 of k1 is 0), r5, r4, r3, r2, r1, r0.01234567xmm1a01234567xmm2b01234567xmm3or m128c11111110k1r0r1r2r3r4r5r7xmm1

Every bfloat16 works alike: 8, 16 and 32 bfloat16s in the xmm, ymm and zmm forms. The forms write under a mask: where its bit is 0, the element keeps its old value, or zeroes it with {z}. With m16bcst, one bfloat16 from memory stands for every element of the last source. The sources are drawn above the result, each element in its own column.

Result bfloat16 i comes from bfloat16 i of xmm1, xmm2 and xmm3. Result bfloat16s 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]:
        a = zmm1.bf16[i]
        b = zmm2.bf16[i]
        c = src3.bf16[i]
        zmm1.bf16[i] = fnmadd(b, c, a)
    elif zeroing:
        zmm1.bf16[i] = 0
    # else: zmm1.bf16[i] keeps its value
# m16bcst: src3.bf16[i] is the m16 for every i
# BF16: to nearest even, denormals flushed, no flags; MXCSR unused
# zmm1 is zeroed from bit VL up

Not run on a processor: none of these processors has AVX10.2. The tests check its arithmetic against MPFR.

Operands

What each form reads and writes, as Intel XED records it: the operands of its syntax, in order, and the implicit ones that the syntax does not name. How to read.
OperandKindAction
VFNMADD231BF16 xmm {k}{z}, xmm, xmm/m128/m16bcst VFNMADD231BF16 ymm {k}{z}, ymm, ymm/m256/m16bcst VFNMADD231BF16 zmm {k}{z}, zmm, zmm/m512/m16bcst
xmm, ymm, zmmexplicitread, write (masked)
{k}explicitread (write mask)
xmm, ymm, zmmexplicitread
xmm/m128/m16bcst, ymm/m256/m16bcst, zmm/m512/m16bcstexplicitread

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.

All forms
AVX512-E4

Attributes

What else XED records about the forms. How to read.

All forms
write masking; always rounds to nearest even; denormal inputs read as zero; denormal results flushed to zero
Memory forms
embedded broadcast (tuple Full); memory fault suppression

Intrinsics

The C intrinsics of Clang 23.1.2 that compile to VFNMADD231BF16, 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.

IntrinsicCompiles to
_mm_fnmadd_pbh __m128bh _mm_fnmadd_pbh(__m128bh __A, __m128bh __B, __m128bh __C)

VFNMADD231BF16 xmm, xmm, xmm EVEX.128 -mavx10.2when __C is already in the destination register

_mm_mask3_fnmadd_pbh __m128bh _mm_mask3_fnmadd_pbh(__m128bh __A, __m128bh __B, __m128bh __C, __mmask8 __U)

VFNMADD231BF16 xmm {k}, xmm, xmm EVEX.128 -mavx10.2

_mm_maskz_fnmadd_pbh __m128bh _mm_maskz_fnmadd_pbh(__mmask8 __U, __m128bh __A, __m128bh __B, __m128bh __C)

VFNMADD231BF16 xmm {k}{z}, xmm, xmm EVEX.128 -mavx10.2when __C is already in the destination register

_mm256_fnmadd_pbh __m256bh _mm256_fnmadd_pbh(__m256bh __A, __m256bh __B, __m256bh __C)

VFNMADD231BF16 ymm, ymm, ymm EVEX.256 -mavx10.2when __C is already in the destination register

_mm256_mask3_fnmadd_pbh __m256bh _mm256_mask3_fnmadd_pbh(__m256bh __A, __m256bh __B, __m256bh __C, __mmask16 __U)

VFNMADD231BF16 ymm {k}, ymm, ymm EVEX.256 -mavx10.2

_mm256_maskz_fnmadd_pbh __m256bh _mm256_maskz_fnmadd_pbh(__mmask16 __U, __m256bh __A, __m256bh __B, __m256bh __C)

VFNMADD231BF16 ymm {k}{z}, ymm, ymm EVEX.256 -mavx10.2when __C is already in the destination register

_mm512_fnmadd_pbh __m512bh _mm512_fnmadd_pbh(__m512bh __A, __m512bh __B, __m512bh __C)

VFNMADD231BF16 zmm, zmm, zmm EVEX.512 -mavx10.2when __C is already in the destination register

_mm512_mask3_fnmadd_pbh __m512bh _mm512_mask3_fnmadd_pbh(__m512bh __A, __m512bh __B, __m512bh __C, __mmask32 __U)

VFNMADD231BF16 zmm {k}, zmm, zmm EVEX.512 -mavx10.2

_mm512_maskz_fnmadd_pbh __m512bh _mm512_maskz_fnmadd_pbh(__mmask32 __U, __m512bh __A, __m512bh __B, __m512bh __C)

VFNMADD231BF16 zmm {k}{z}, zmm, zmm EVEX.512 -mavx10.2when __C is already in the destination register

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.

CPUID requirements and processors of the XED ISA sets above. Alternatives are separated by “or”; processors follow XED’s chip model, whose AMD processors end with Zen 2, and the CPU data of this site for Zen 3 to Zen 6.
ISA setCPUIDProcessors
AVX10_2_BF16_128

AVX10.2
CPUID.(EAX=07H,ECX=1):EDX[19] AVX10
CPUID.(EAX=24H,ECX=0):EBX[7:0] ≥ 2 AVX10 version

Nova Lake, Diamond Rapids
AVX10_2_BF16_256
Same as AVX10_2_BF16_128Same as AVX10_2_BF16_128
AVX10_2_BF16_512
Same as AVX10_2_BF16_128Same as AVX10_2_BF16_128

More AVX10.2 instructions

All 96 AVX10.2 instructions

Sources

  1. Intel XED v2026.08.23 (commit 0bcb6237345c): forms, encodings, operands, flags, exception classes, attributes, ISA sets, CPUID bits and chip model.
  2. 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.
  3. Intel Advanced Vector Extensions 10.2 Architecture Specification, revision 7.0 (361050-007, April 2026)

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, part of the LLVM Project, licensed under the Apache License 2.0 with LLVM Exceptions. The text is our own.