SQRDMULH (by element)

Signed saturating rounding doubling multiply returning high half (by element)

This instruction multiplies each vector element in the first source SIMD&FP register by the specified vector element of the second source SIMD&FP register, doubles the results, places the most significant half of the final results into a vector, and writes the vector to the destination SIMD&FP register.

The results are rounded. For truncated results, see SQDMULH.

If any of the results overflows, they are saturated. If saturation occurs, the cumulative saturation bit FPSR.QC is set.

Depending on the settings in the CPACR_EL1, CPTR_EL2, and CPTR_EL3 registers, and the current Security state and Exception level, an attempt to execute the instruction might be trapped.

It has encodings from 2 classes: Scalar and Vector

Scalar
(FEAT_AdvSIMD)

313029282726252423222120191817161514131211109876543210
01011111sizeLMRm1101H0RnRd
Uop

Encoding

SQRDMULH <V><d>, <V><n>, <Vm>.<Ts>[<index>]

Decode for this encoding

if !IsFeatureImplemented(FEAT_AdvSIMD) then EndOfDecode(Decode_UNDEF); constant integer idxdsize = 64 << UInt(H); integer index; bit Rmhi; case size of when '01' index = UInt(H:L:M); Rmhi = '0'; when '10' index = UInt(H:L); Rmhi = M; otherwise EndOfDecode(Decode_UNDEF); constant integer d = UInt(Rd); constant integer n = UInt(Rn); constant integer m = UInt(Rmhi:Rm); constant integer esize = 8 << UInt(size); constant integer datasize = esize; constant integer elements = 1; constant boolean round = TRUE;

Vector
(FEAT_AdvSIMD)

313029282726252423222120191817161514131211109876543210
0Q001111sizeLMRm1101H0RnRd
Uop

Encoding

SQRDMULH <Vd>.<T>, <Vn>.<T>, <Vm>.<Ts>[<index>]

Decode for this encoding

if !IsFeatureImplemented(FEAT_AdvSIMD) then EndOfDecode(Decode_UNDEF); constant integer idxdsize = 64 << UInt(H); integer index; bit Rmhi; case size of when '01' index = UInt(H:L:M); Rmhi = '0'; when '10' index = UInt(H:L); Rmhi = M; otherwise EndOfDecode(Decode_UNDEF); constant integer d = UInt(Rd); constant integer n = UInt(Rn); constant integer m = UInt(Rmhi:Rm); constant integer esize = 8 << UInt(size); constant integer datasize = 64 << UInt(Q); constant integer elements = datasize DIV esize; constant boolean round = TRUE;

Assembler Symbols

<V>

Is a width specifier, encoded in size:

size <V>
00 RESERVED
01 H
10 S
11 RESERVED
<d>

Is the number of the SIMD&FP destination register, encoded in the "Rd" field.

<n>

Is the number 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 size:M:Rm:

size <Vm>
00 RESERVED
01 UInt('0':Rm)
10 UInt(M:Rm)
11 RESERVED
Restricted to V0-V15 when element size <Ts> is H.
<Ts>

Is an element size specifier, encoded in size:

size <Ts>
00 RESERVED
01 H
10 S
11 RESERVED
<index>

Is the element index, encoded in size:H:L:M:

size <index>
00 RESERVED
01 UInt(H:L:M)
10 UInt(H:L)
11 RESERVED
<Vd>

Is the name of the SIMD&FP destination register, encoded in the "Rd" field.

<T>

Is an arrangement specifier, encoded in size:Q:

size Q <T>
00 x RESERVED
01 0 4H
01 1 8H
10 0 2S
10 1 4S
11 x RESERVED
<Vn>

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

Operation

CheckFPAdvSIMDEnabled64(); constant bits(datasize) operand1 = V[n, datasize]; constant bits(idxdsize) operand2 = V[m, idxdsize]; bits(datasize) result; integer element1; integer element2; integer product; boolean sat; element2 = SInt(Elem[operand2, index, esize]); for e = 0 to elements-1 element1 = SInt(Elem[operand1, e, esize]); product = 2 * element1 * element2; product = RShr(product, esize, round); // The following only saturates if element1 and element2 equal -(2^(esize-1)) (Elem[result, e, esize], sat) = SignedSatQ(product, esize); if sat then FPSR.QC = '1'; V[d, datasize] = result;

Operational information

If PSTATE.DIT is 1:


Internal version only: aarchmrs v2024-12_rel, pseudocode v2024-12_rel ; Build timestamp: 2024-12-15T22:18

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