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Mojo function

e8m0_to_bf16_broadcast

def e8m0_to_bf16_broadcast(scale_byte: UInt8) -> UInt32

Convert an e8m0 scale byte to a bf16 value broadcast into both halves of a uint32.

e8m0 format: value = 2^(byte - 127). The bf16 representation is obtained by left-shifting the 8-bit exponent by 7 to place it in the bf16 exponent field (bits 7-14), with sign=0 and mantissa=0. Broadcasting into both halves of a uint32 prepares the value for use with the packed bf16x2 multiply instruction.

Args:

scale_byte (UInt8): E8M0 exponent byte encoding the scale as 2^(byte - 127).

Returns:

UInt32