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/* Definitions for use with the -mono_rewrites option */
/* External definitions not in the usual asl prelude */
infix 6 <<
val shiftleft = "shiftl" : forall 'n ('ord : Order).
(vector('n, 'ord, bit), int) -> vector('n, 'ord, bit) effect pure
overload operator << = {shiftleft}
infix 6 >>
val shiftright = "shiftr" : forall 'n ('ord : Order).
(vector('n, 'ord, bit), int) -> vector('n, 'ord, bit) effect pure
overload operator >> = {shiftright}
val arith_shiftright = "arith_shiftr" : forall 'n ('ord : Order).
(vector('n, 'ord, bit), int) -> vector('n, 'ord, bit) effect pure
val "extz_vec" : forall 'n 'm. (atom('m),vector('n, dec, bit)) -> vector('m, dec, bit) effect pure
val extzv : forall 'n 'm. vector('n, dec, bit) -> vector('m, dec, bit) effect pure
function extzv(v) = extz_vec(sizeof('m),v)
val "exts_vec" : forall 'n 'm. (atom('m),vector('n, dec, bit)) -> vector('m, dec, bit) effect pure
val extsv : forall 'n 'm. vector('n, dec, bit) -> vector('m, dec, bit) effect pure
function extsv(v) = exts_vec(sizeof('m),v)
/* This is generated internally to deal with case splits which reveal the size
of a bitvector */
val bitvector_cast = "zeroExtend" : forall 'n. bits('n) -> bits('n) effect pure
/* Definitions for the rewrites */
val slice_mask : forall 'n, 'n >= 0. (int, int) -> bits('n) effect pure
function slice_mask(i,l) =
let one : bits('n) = extzv(0b1) in
((one << l) - one) << i
val is_zero_subrange : forall 'n, 'n >= 0.
(bits('n), int, int) -> bool effect pure
function is_zero_subrange (xs, i, j) = {
(xs & slice_mask(j, i-j+1)) == extzv(0b0)
}
val is_ones_subrange : forall 'n, 'n >= 0.
(bits('n), int, int) -> bool effect pure
function is_ones_subrange (xs, i, j) = {
let m : bits('n) = slice_mask(j,j-i+1) in
(xs & m) == m
}
val slice_slice_concat : forall 'n 'm 'r, 'n >= 0 & 'm >= 0 & 'r >= 0.
(bits('n), int, int, bits('m), int, int) -> bits('r) effect pure
function slice_slice_concat (xs, i, l, ys, i', l') = {
let xs = (xs & slice_mask(i,l)) >> i in
let ys = (ys & slice_mask(i',l')) >> i' in
extzv(xs) << l' | extzv(ys)
}
val slice_zeros_concat : forall 'n 'p 'q 'r, 'r = 'p + 'q & 'n >= 0 & 'p >= 0 & 'q >= 0 & 'r >= 0.
(bits('n), int, atom('p), atom('q)) -> bits('r) effect pure
function slice_zeros_concat (xs, i, l, l') = {
let xs = (xs & slice_mask(i,l)) >> i in
extzv(xs) << l'
}
/* Assumes initial vectors are of equal size */
val subrange_subrange_eq : forall 'n, 'n >= 0.
(bits('n), int, int, bits('n), int, int) -> bool effect pure
function subrange_subrange_eq (xs, i, j, ys, i', j') = {
let xs = (xs & slice_mask(j,i-j+1)) >> j in
let ys = (ys & slice_mask(j',i'-j'+1)) >> j' in
xs == ys
}
val subrange_subrange_concat : forall 'n 'o 'p 'm 'q 'r 's, 's = 'o - ('p - 1) + 'q - ('r - 1) & 'n >= 0 & 'm >= 0.
(bits('n), atom('o), atom('p), bits('m), atom('q), atom('r)) -> bits('s) effect pure
function subrange_subrange_concat (xs, i, j, ys, i', j') = {
let xs = (xs & slice_mask(j,i-j+1)) >> j in
let ys = (ys & slice_mask(j',i'-j'+1)) >> j' in
extzv(xs) << (i' - j' + 1) | extzv(ys)
}
val place_subrange : forall 'n 'm, 'n >= 0 & 'm >= 0.
(bits('n), int, int, int) -> bits('m) effect pure
function place_subrange(xs,i,j,shift) = {
let xs = (xs & slice_mask(j,i-j+1)) >> j in
extzv(xs) << shift
}
val place_slice : forall 'n 'm, 'n >= 0 & 'm >= 0.
(bits('n), int, int, int) -> bits('m) effect pure
function place_slice(xs,i,l,shift) = {
let xs = (xs & slice_mask(i,l)) >> i in
extzv(xs) << shift
}
val zext_slice : forall 'n 'm, 'n >= 0 & 'm >= 0.
(bits('n), int, int) -> bits('m) effect pure
function zext_slice(xs,i,l) = {
let xs = (xs & slice_mask(i,l)) >> i in
extzv(xs)
}
val sext_slice : forall 'n 'm, 'n >= 0 & 'm >= 0.
(bits('n), int, int) -> bits('m) effect pure
function sext_slice(xs,i,l) = {
let xs = arith_shiftright(((xs & slice_mask(i,l)) << ('n - i - l)), 'n - l) in
extsv(xs)
}
/* This has different names in the aarch64 prelude (UInt) and the other
preludes (unsigned). To avoid variable name clashes, we redeclare it
here with a suitably awkward name. */
val _builtin_unsigned = {
ocaml: "uint",
lem: "uint",
interpreter: "uint",
c: "sail_uint"
} : forall 'n. bits('n) -> range(0, 2 ^ 'n - 1)
val unsigned_slice : forall 'n, 'n >= 0.
(bits('n), int, int) -> int effect pure
function unsigned_slice(xs,i,l) = {
let xs = (xs & slice_mask(i,l)) >> i in
_builtin_unsigned(xs)
}
val unsigned_subrange : forall 'n, 'n >= 0.
(bits('n), int, int) -> int effect pure
function unsigned_subrange(xs,i,j) = {
let xs = (xs & slice_mask(j,i-j+1)) >> i in
_builtin_unsigned(xs)
}
val zext_ones : forall 'n, 'n >= 0. int -> bits('n) effect pure
function zext_ones(m) = {
let v : bits('n) = extsv(0b1) in
v >> ('n - m)
}
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