FRSQRTS

Floating-point reciprocal square root step (unpredicated)

This instruction multiplies the floating-point elements of the first source vector by the corresponding floating-point elements of the second source vector, subtracts the products from 3.0 and divides the results by 2.0 without any intermediate rounding, and places the results in the corresponding elements of the destination vector. This instruction is unpredicated.

This instruction can be used to perform a single Newton-Raphson iteration for calculating the reciprocal square root of a vector of floating-point values.

SVE
(FEAT_SVE || FEAT_SME)

313029282726252423222120191817161514131211109876543210
01100101size0Zm000111ZnZd
opc

Encoding

FRSQRTS <Zd>.<T>, <Zn>.<T>, <Zm>.<T>

Decode for this encoding

if !IsFeatureImplemented(FEAT_SVE) && !IsFeatureImplemented(FEAT_SME) then EndOfDecode(Decode_UNDEF); end; if size == '00' then EndOfDecode(Decode_UNDEF); end; let esize : integer{} = 8 << UInt(size); let n : integer = UInt(Zn); let m : integer = UInt(Zm); let d : integer = UInt(Zd);

Assembler Symbols

<Zd>

Is the name of the destination scalable vector register, encoded in the "Zd" field.

<T>

Is the size specifier, encoded in size:

size <T>
00 RESERVED
01 H
10 S
11 D
<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

CheckSVEEnabled(); let VL : integer{} = CurrentVL(); let elements : integer = VL DIV esize; let operand1 : bits(VL) = Z{}(n); let operand2 : bits(VL) = Z{}(m); var result : bits(VL); for e = 0 to elements-1 do let element1 : bits(esize) = operand1[e*:esize]; let element2 : bits(esize) = operand2[e*:esize]; result[e*:esize] = FPRSqrtStepFused{esize}(element1, element2, FPCR()); end; Z{VL}(d) = result;


2026-03_rel 2026-03-26 20:48:11

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