pub fn signextend<WIRE: InterpreterTypes, H: Host + ?Sized>(
interpreter: &mut Interpreter<WIRE>,
_host: &mut H,
)
Expand description
Implements the SIGNEXTEND
opcode as defined in the Ethereum Yellow Paper.
In the yellow paper SIGNEXTEND
is defined to take two inputs, we will call them
x
and y
, and produce one output. The first t
bits of the output (numbering from the
left, starting from 0) are equal to the t
-th bit of y
, where t
is equal to
256 - 8(x + 1)
. The remaining bits of the output are equal to the corresponding bits of y
.
Note: if x >= 32
then the output is equal to y
since t <= 0
. To efficiently implement
this algorithm in the case x < 32
we do the following. Let b
be equal to the t
-th bit
of y
and let s = 255 - t = 8x + 7
(this is effectively the same index as t
, but
numbering the bits from the right instead of the left). We can create a bit mask which is all
zeros up to and including the t
-th bit, and all ones afterwards by computing the quantity
2^s - 1
. We can use this mask to compute the output depending on the value of b
.
If b == 1
then the yellow paper says the output should be all ones up to
and including the t
-th bit, followed by the remaining bits of y
; this is equal to
y | !mask
where |
is the bitwise OR
and !
is bitwise negation. Similarly, if
b == 0
then the yellow paper says the output should start with all zeros, then end with
bits from b
; this is equal to y & mask
where &
is bitwise AND
.