BFMLALB (indexed)

BFloat16 floating-point multiply-add long to single-precision (bottom, indexed)

This BFloat16 floating-point multiply-add long instruction widens the even-numbered 16-bit BFloat16 elements in the first source vector and the indexed element from the corresponding 128-bit segment in the second source vector to single-precision format and then destructively multiplies and adds these values without intermediate rounding to the overlapping 32-bit single-precision elements of the addend and destination vector. This instruction is unpredicated.

Unlike the BFloat16 matrix multiplication and dot product instructions, this instruction performs a fused multiply-add that honors all of the FPCR bits that apply to single-precision arithmetic. It can also generate a floating-point exception that causes cumulative exception bits in the FPSR to be set, or a synchronous exception to be taken, depending on the enable bits in the FPCR.

ID_AA64ZFR0_EL1.BF16 indicates whether this instruction is implemented.

SVE
(FEAT_BF16)

313029282726252423222120191817161514131211109876543210
01100100111i3hZm0100i3l0ZnZda
o2opT

BFMLALB <Zda>.S, <Zn>.H, <Zm>.H[<imm>]

if (!HaveSVE() && !HaveSME()) || !HaveBF16Ext() then UNDEFINED; integer n = UInt(Zn); integer m = UInt(Zm); integer da = UInt(Zda); integer index = UInt(i3h:i3l);

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 Z0-Z7, encoded in the "Zm" field.

<imm>

Is the immediate index, in the range 0 to 7, encoded in the "i3h:i3l" fields.

Operation

CheckSVEEnabled(); integer elements = VL DIV 32; integer eltspersegment = 128 DIV 32; bits(VL) operand1 = Z[n]; bits(VL) operand2 = Z[m]; bits(VL) operand3 = Z[da]; bits(VL) result; for e = 0 to elements-1 integer segmentbase = e - (e MOD eltspersegment); integer s = 2 * segmentbase + index; bits(32) element1 = Elem[operand1, 2 * e + 0, 16] : Zeros(16); bits(32) element2 = Elem[operand2, s, 16] : Zeros(16); bits(32) element3 = Elem[operand3, e, 32]; Elem[result, e, 32] = BFMulAdd(element3, element1, element2, FPCR[]); Z[da] = 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:


Internal version only: isa v33.11seprel, AdvSIMD v29.05, pseudocode v2021-09_rel, sve v2021-09_rc3d ; Build timestamp: 2021-10-06T11:41

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