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authorBrian Campbell2018-05-17 12:12:02 +0100
committerBrian Campbell2018-05-17 12:12:02 +0100
commitc37130ba4ac69be6a298476b24b1f93811df4bb4 (patch)
tree677f02c87d47f4ef354ad55a1a03b244651631d9 /lib
parentfc99e8af769b98ffbc951b20c12fc9111f48cec5 (diff)
Clean up MIPS for HOL4 a little
Move mono_rewrites into lib
Diffstat (limited to 'lib')
-rw-r--r--lib/mono_rewrites.sail157
1 files changed, 157 insertions, 0 deletions
diff --git a/lib/mono_rewrites.sail b/lib/mono_rewrites.sail
new file mode 100644
index 00000000..c9164b6c
--- /dev/null
+++ b/lib/mono_rewrites.sail
@@ -0,0 +1,157 @@
+/* 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)) == 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) 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)) >> j in
+ let ys = (ys & slice_mask(j',i'-j')) >> 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)) >> j in
+ let ys = (ys & slice_mask(j',i'-j')) >> 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)) >> 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)) >> 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)
+}