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

313029282726252423222120191817161514131211109876543210
01011111sizeLMRm1101H0RnRd
Uop

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

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 UNDEFINED; integer d = UInt(Rd); integer n = UInt(Rn); integer m = UInt(Rmhi:Rm); constant integer esize = 8 << UInt(size); constant integer datasize = esize; integer elements = 1; boolean round = (op == '1');

Vector

313029282726252423222120191817161514131211109876543210
0Q001111sizeLMRm1101H0RnRd
Uop

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

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 UNDEFINED; integer d = UInt(Rd); integer n = UInt(Rn); integer m = UInt(Rmhi:Rm); constant integer esize = 8 << UInt(size); constant integer datasize = 64 << UInt(Q); integer elements = datasize DIV esize; boolean round = (op == '1');

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(); bits(datasize) operand1 = V[n, datasize]; 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 v2023-12_rel, pseudocode v2023-12_rel, sve v2023-12_rel ; Build timestamp: 2023-12-15T16:46

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