FMLS (multiple vectors)

Multi-vector floating-point fused multiply-subtract

Multiply the corresponding floating-point elements of the two or four first and second source vectors and destructively subtract without intermediate rounding from the corresponding elements of the ZA single-vector groups. The vector numbers forming the single-vector group within each half of or each quarter of the ZA array are selected by the sum of the vector select register and immediate offset, modulo half or quarter the number of ZA array vectors.

The vector group symbol, VGx2 or VGx4, indicates that the ZA operand consists of two or four ZA single-vector groups respectively. The vector group symbol is preferred for disassembly, but optional in assembler source code.

This instruction follows SME ZA-targeting floating-point behaviors.

This instruction is unpredicated.

ID_AA64SMFR0_EL1.F64F64 indicates whether the double-precision variant is implemented, and ID_AA64SMFR0_EL1.F16F16 indicates whether the half-precision variant is implemented.

It has encodings from 4 classes: Two ZA single-vectors , Two ZA single-vectors of half precision elements , Four ZA single-vectors and Four ZA single-vectors of half precision elements

Two ZA single-vectors
(FEAT_SME2)

313029282726252423222120191817161514131211109876543210
110000011sz1Zm00Rv110Zn001off3
S

FMLS ZA.<T>[<Wv>, <offs>{, VGx2}], { <Zn1>.<T>-<Zn2>.<T> }, { <Zm1>.<T>-<Zm2>.<T> }

if !HaveSME2() then UNDEFINED; if sz == '1' && !HaveSMEF64F64() then UNDEFINED; integer v = UInt('010':Rv); constant integer esize = 32 << UInt(sz); integer n = UInt(Zn:'0'); integer m = UInt(Zm:'0'); integer offset = UInt(off3); boolean sub_op = TRUE; constant integer nreg = 2;

Two ZA single-vectors of half precision elements
(FEAT_SME_F16F16)

313029282726252423222120191817161514131211109876543210
11000001101Zm00Rv100Zn011off3
szS

FMLS ZA.H[<Wv>, <offs>{, VGx2}], { <Zn1>.H-<Zn2>.H }, { <Zm1>.H-<Zm2>.H }

if !HaveSME2() || !IsFeatureImplemented(FEAT_SME_F16F16) then UNDEFINED; integer v = UInt('010':Rv); constant integer esize = 16; integer n = UInt(Zn:'0'); integer m = UInt(Zm:'0'); integer offset = UInt(off3); boolean sub_op = TRUE; constant integer nreg = 2;

Four ZA single-vectors
(FEAT_SME2)

313029282726252423222120191817161514131211109876543210
110000011sz1Zm010Rv110Zn0001off3
S

FMLS ZA.<T>[<Wv>, <offs>{, VGx4}], { <Zn1>.<T>-<Zn4>.<T> }, { <Zm1>.<T>-<Zm4>.<T> }

if !HaveSME2() then UNDEFINED; if sz == '1' && !HaveSMEF64F64() then UNDEFINED; integer v = UInt('010':Rv); constant integer esize = 32 << UInt(sz); integer n = UInt(Zn:'00'); integer m = UInt(Zm:'00'); integer offset = UInt(off3); boolean sub_op = TRUE; constant integer nreg = 4;

Four ZA single-vectors of half precision elements
(FEAT_SME_F16F16)

313029282726252423222120191817161514131211109876543210
11000001101Zm010Rv100Zn0011off3
szS

FMLS ZA.H[<Wv>, <offs>{, VGx4}], { <Zn1>.H-<Zn4>.H }, { <Zm1>.H-<Zm4>.H }

if !HaveSME2() || !IsFeatureImplemented(FEAT_SME_F16F16) then UNDEFINED; integer v = UInt('010':Rv); constant integer esize = 16; integer n = UInt(Zn:'00'); integer m = UInt(Zm:'00'); integer offset = UInt(off3); boolean sub_op = TRUE; constant integer nreg = 4;

Assembler Symbols

<T>

Is the size specifier, encoded in sz:

sz <T>
0 S
1 D
<Wv>

Is the 32-bit name of the vector select register W8-W11, encoded in the "Rv" field.

<offs>

Is the vector select offset, in the range 0 to 7, encoded in the "off3" field.

<Zn1>

For the two ZA single-vectors and two ZA single-vectors of half precision elements variant: is the name of the first scalable vector register of the first source multi-vector group, encoded as "Zn" times 2.

For the four ZA single-vectors and four ZA single-vectors of half precision elements variant: is the name of the first scalable vector register of the first source multi-vector group, encoded as "Zn" times 4.

<Zn4>

Is the name of the fourth scalable vector register of the first source multi-vector group, encoded as "Zn" times 4 plus 3.

<Zn2>

Is the name of the second scalable vector register of the first source multi-vector group, encoded as "Zn" times 2 plus 1.

<Zm1>

For the two ZA single-vectors and two ZA single-vectors of half precision elements variant: is the name of the first scalable vector register of the second source multi-vector group, encoded as "Zm" times 2.

For the four ZA single-vectors and four ZA single-vectors of half precision elements variant: is the name of the first scalable vector register of the second source multi-vector group, encoded as "Zm" times 4.

<Zm4>

Is the name of the fourth scalable vector register of the second source multi-vector group, encoded as "Zm" times 4 plus 3.

<Zm2>

Is the name of the second scalable vector register of the second source multi-vector group, encoded as "Zm" times 2 plus 1.

Operation

CheckStreamingSVEAndZAEnabled(); constant integer VL = CurrentVL; constant integer elements = VL DIV esize; integer vectors = VL DIV 8; integer vstride = vectors DIV nreg; bits(32) vbase = X[v, 32]; integer vec = (UInt(vbase) + offset) MOD vstride; bits(VL) result; for r = 0 to nreg-1 bits(VL) operand1 = Z[n+r, VL]; bits(VL) operand2 = Z[m+r, VL]; bits(VL) operand3 = ZAvector[vec, VL]; for e = 0 to elements-1 bits(esize) element1 = Elem[operand1, e, esize]; bits(esize) element2 = Elem[operand2, e, esize]; bits(esize) element3 = Elem[operand3, e, esize]; if sub_op then element1 = FPNeg(element1, FPCR); Elem[result, e, esize] = FPMulAdd_ZA(element3, element1, element2, FPCR); ZAvector[vec, VL] = result; vec = vec + vstride;


Internal version only: aarchmrs v2023-12_rel, pseudocode v2023-12_rel, sve v2023-12_rel ; Build timestamp: 2023-12-15T16:46

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