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

## BFMMLA

BFloat16 floating-point matrix multiply-accumulate into 2×2 matrices

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 2×4 matrix of BFloat16 values held in each 128-bit segment of the first source vector by the 4×2 matrix of BFloat16 values in the corresponding segment of 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 2×2 single-precision matrix in the corresponding segment of 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 2×4 matrix of BFloat16 values held in each 128-bit segment of the first source vector by the 4×2 matrix of BFloat16 values in the corresponding segment of 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 2×2 single-precision matrix in the corresponding segment of 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.

This instruction is unpredicated and vector length agnostic.

ID_AA64ZFR0_EL1.BF16 indicates whether this instruction is implemented.

This instruction is illegal when executed in Streaming SVE mode, unless FEAT_SME_FA64 is implemented and enabled.

### SVE
(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 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | Zm | 1 | 1 | 1 | 0 | 0 | 1 | Zn | Zda

####

BFMMLA <Zda>.S, <Zn>.H, <Zm>.H

if !HaveSVE() || !HaveBF16Ext() then UNDEFINED; integer n = UInt(Zn); integer m = UInt(Zm); integer da = UInt(Zda);

### Assembler Symbols

<Zda> | Is the name of the third source and destination scalable vector register, encoded in the "Zda" field.

<Zn> | Is the name of the first source scalable vector register, encoded in the "Zn" field.

<Zm> | Is the name of the second source scalable vector register, encoded in the "Zm" field.

### Operation

CheckNonStreamingSVEEnabled(); constant integer VL = CurrentVL; constant integer PL = VL DIV 8; constant integer segments = VL DIV 128; bits(VL) operand1 = Z[n, VL]; bits(VL) operand2 = Z[m, VL]; bits(VL) operand3 = Z[da, VL]; bits(VL) result; bits(128) op1, op2; bits(128) res, addend; for s = 0 to segments-1 op1 = Elem[operand1, s, 128]; op2 = Elem[operand2, s, 128]; addend = Elem[operand3, s, 128]; res = BFMatMulAdd(addend, op1, op2); Elem[result, s, 128] = res; Z[da, VL] = result;

### Operational information

This instruction might be immediately preceded in program order by a MOVPRFX instruction. The MOVPRFX instruction must conform to all of the following requirements, otherwise the behavior of the MOVPRFX and this instruction is unpredictable:

- The MOVPRFX instruction must be unpredicated.
- The MOVPRFX instruction must specify the same destination register as this instruction.
- The destination register must not refer to architectural register state referenced by any other source operand register of this instruction.

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.