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BFMLALB, BFMLALT (by element)

BFloat16 floating-point widening multiply-add long (by element) widens the even-numbered (bottom) or odd-numbered (top) 16-bit elements in the first source vector, and the indexed element in the second source vector from Bfloat16 to single-precision format. The instruction then multiplies and adds these values to the overlapping single-precision elements of the destination vector.

This performs a fused multiply-add without intermediate rounding that honors all of the control bits in the FPCR that apply to single-precision arithmetic, including the rounding mode. 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_AA64ISAR1_EL1.BF16 indicates whether this instruction is supported.




BFMLAL<bt> <Vd>.4S, <Vn>.8H, <Vm>.H[<index>]

if !HaveBF16Ext() then UNDEFINED;
integer n = UInt(Rn);
integer m = UInt('0':Rm);
integer d = UInt(Rd);
integer index = UInt(H:L:M);

integer elements = 128 DIV 32;
integer sel = UInt(Q);

Assembler Symbols

<bt> Is the bottom or top element specifier, encoded in Q:
Q <bt>
0 B
1 T

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


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


Is the name of the second SIMD&FP source register, in the range V0 to V15, encoded in the "Rm" field.


Is the element index, in the range 0 to 7, encoded in the "H:L:M" fields.


bits(128) operand1 = V[n];
bits(128) operand2 = V[m];
bits(128) operand3 = V[d];
bits(128) result;

bits(32) element2 = Elem[operand2, index, 16] : Zeros(16);

for e = 0 to elements-1
    bits(32) element1 = Elem[operand1, 2 * e + sel, 16] : Zeros(16);
    bits(32) addend = Elem[operand3, e, 32];
    Elem[result, e, 32] = FPMulAdd(addend, element1, element2, FPCR);

V[d] = result;