Base Instructions | SIMD&FP Instructions | SVE Instructions | SME Instructions | Index by Encoding | Shared Pseudocode | Proprietary Notice

## BFMMLA

BFloat16 floating-point matrix multiply-accumulate into 2x2 matrix.

If FEAT_EBF16 is not implemented or FPCR.EBF is 0, this instruction:

- Performs two unfused sums-of-products within each two pairs of adjacent BFloat16 elements while multiplying the 2x4 matrix of BFloat16 values in the first source vector with the 4x2 matrix of BFloat16 values in the second source vector. The intermediate single-precision products are rounded before they are summed and the intermediate sum is rounded before accumulation into the 2x2 single-precision matrix in the destination vector. This is equivalent to accumulating two 2-way unfused dot products per destination element.
- Uses the non-IEEE 754 Round-to-Odd rounding mode, which forces bit 0 of an inexact result to 1, and rounds an overflow to an appropriately signed Infinity.
- Flushes denormalized inputs and results to zero, as if FPCR.{FZ, FIZ} is {1, 1}.
- Disables alternative floating point behaviors, as if FPCR.AH is 0.

If FEAT_EBF16 is implemented and FPCR.EBF is 1, then this instruction:

- Performs two fused sums-of-products within each two pairs of adjacent BFloat16 elements while multiplying the 2x4 matrix of BFloat16 values in the first source vector with the 4x2 matrix of BFloat16 values in the second source vector. The intermediate single-precision products are not rounded before they are summed, but the intermediate sum is rounded before accumulation into the 2x2 single-precision matrix in the destination vector. This is equivalent to accumulating two 2-way fused dot products per destination element.
- Follows all other floating-point behaviors that apply to single-precision arithmetic, as governed by FPCR.RMode, FPCR.FZ, FPCR.AH, and FPCR.FIZ.

Irrespective of FEAT_EBF16 and FPCR.EBF, this instruction:

- Does not modify the cumulative FPSR exception bits (IDC, IXC, UFC, OFC, DZC, and IOC).
- Disables trapped floating-point exceptions, as if the FPCR trap enable bits (IDE, IXE, UFE, OFE, DZE, and IOE) are all zero.
- Generates only the default NaN, as if FPCR.DN is 1.

ID_AA64ISAR1_EL1.BF16 indicates whether this instruction is supported.

### Vector
(FEAT_BF16)

31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 19 | 18 | 17 | 16 | 15 | 14 | 13 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0
0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | Rm | 1 | 1 | 1 | 0 | 1 | 1 | Rn | Rd

####

BFMMLA <Vd>.4S, <Vn>.8H, <Vm>.8H

if !HaveBF16Ext() then UNDEFINED; integer n = UInt(Rn); integer m = UInt(Rm); integer d = UInt(Rd);

### Assembler Symbols

<Vd> | Is the name of the SIMD&FP third source and destination register, encoded in the "Rd" field.

<Vn> | Is the name of the first SIMD&FP source register, encoded in the "Rn" field.

<Vm> | Is the name of the second SIMD&FP source register, encoded in the "Rm" field.

### Operation

CheckFPAdvSIMDEnabled64(); bits(128) op1 = V[n, 128]; bits(128) op2 = V[m, 128]; bits(128) acc = V[d, 128]; V[d, 128] = BFMatMulAdd(acc, op1, op2);

### Operational information

Arm expects that the BFMMLA instruction will deliver a peak BFloat16 multiply throughput that is at least as high as can be achieved using two BFDOT (vector) instructions, with a goal that it should have significantly higher throughput.

Base Instructions | SIMD&FP Instructions | SVE Instructions | SME Instructions | Index by Encoding | Shared Pseudocode | Proprietary Notice

Internal version only: isa v33.64, AdvSIMD v29.12, pseudocode v2023-06_rel, sve v2023-06_rel ; Build timestamp: 2023-07-04T19:42

Copyright © 2010-2023 Arm Limited or its affiliates. All rights reserved. This document is Non-Confidential.