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-rw-r--r--lib/vector_dec.sail93
1 files changed, 63 insertions, 30 deletions
diff --git a/lib/vector_dec.sail b/lib/vector_dec.sail
index 746d29c6..6014ab8c 100644
--- a/lib/vector_dec.sail
+++ b/lib/vector_dec.sail
@@ -3,14 +3,15 @@ $define _VECTOR_DEC
$include <flow.sail>
-type bits ('n : Int) = vector('n, dec, bit)
+type bits ('n : Int) = bitvector('n, dec)
val eq_bits = {
ocaml: "eq_list",
+ interpreter: "eq_list",
lem: "eq_vec",
c: "eq_bits",
coq: "eq_vec"
-} : forall 'n. (vector('n, dec, bit), vector('n, dec, bit)) -> bool
+} : forall 'n. (bits('n), bits('n)) -> bool
overload operator == = {eq_bit, eq_bits}
@@ -18,58 +19,70 @@ val neq_bits = {
lem: "neq_vec",
c: "neq_bits",
coq: "neq_vec"
-} : forall 'n. (vector('n, dec, bit), vector('n, dec, bit)) -> bool
+} : forall 'n. (bits('n), bits('n)) -> bool
function neq_bits(x, y) = not_bool(eq_bits(x, y))
overload operator != = {neq_bits}
-val bitvector_length = {coq: "length_mword", _:"length"} : forall 'n. bits('n) -> atom('n)
+val bitvector_length = {coq: "length_mword", _:"length"} : forall 'n. bits('n) -> int('n)
val vector_length = {
ocaml: "length",
+ interpreter: "length",
lem: "length_list",
c: "length",
coq: "vec_length"
-} : forall 'n ('a : Type). vector('n, dec, 'a) -> atom('n)
+} : forall 'n ('a : Type). vector('n, dec, 'a) -> int('n)
overload length = {bitvector_length, vector_length}
+val count_leading_zeros = "count_leading_zeros" : forall 'N , 'N >= 1. bits('N) -> {'n, 0 <= 'n <= 'N . atom('n)}
+/*
+function count_leading_zeros x = {
+ foreach (i from ('N - 1) to 0 by 1 in dec)
+ if [x[i]] == [bitone] then return 'N - i - 1;
+ return 'N;
+}
+*/
+
val "print_bits" : forall 'n. (string, bits('n)) -> unit
val "prerr_bits" : forall 'n. (string, bits('n)) -> unit
-val sail_sign_extend = "sign_extend" : forall 'n 'm, 'm >= 'n. (bits('n), atom('m)) -> bits('m)
+val sail_sign_extend = "sign_extend" : forall 'n 'm, 'm >= 'n. (bits('n), int('m)) -> bits('m)
-val sail_zero_extend = "zero_extend" : forall 'n 'm, 'm >= 'n. (bits('n), atom('m)) -> bits('m)
+val sail_zero_extend = "zero_extend" : forall 'n 'm, 'm >= 'n. (bits('n), int('m)) -> bits('m)
/*!
THIS`(v, n)` truncates `v`, keeping only the _least_ significant `n` bits.
*/
val truncate = {
ocaml: "vector_truncate",
+ interpreter: "vector_truncate",
lem: "vector_truncate",
coq: "vector_truncate",
c: "sail_truncate"
-} : forall 'm 'n, 'm >= 0 & 'm <= 'n. (vector('n, dec, bit), atom('m)) -> vector('m, dec, bit)
+} : forall 'm 'n, 'm >= 0 & 'm <= 'n. (bits('n), int('m)) -> bits('m)
/*!
THIS`(v, n)` truncates `v`, keeping only the _most_ significant `n` bits.
*/
val truncateLSB = {
ocaml: "vector_truncateLSB",
+ interpreter: "vector_truncateLSB",
lem: "vector_truncateLSB",
coq: "vector_truncateLSB",
c: "sail_truncateLSB"
-} : forall 'm 'n, 'm >= 0 & 'm <= 'n. (vector('n, dec, bit), atom('m)) -> vector('m, dec, bit)
+} : forall 'm 'n, 'm >= 0 & 'm <= 'n. (bits('n), int('m)) -> bits('m)
-val sail_mask : forall 'len 'v, 'len >= 0 & 'v >= 0. (atom('len), vector('v, dec, bit)) -> vector('len, dec, bit)
+val sail_mask : forall 'len 'v, 'len >= 0 & 'v >= 0. (int('len), bits('v)) -> bits('len)
function sail_mask(len, v) = if len <= length(v) then truncate(v, len) else sail_zero_extend(v, len)
overload operator ^ = {sail_mask}
-val bitvector_concat = {ocaml: "append", lem: "concat_vec", c: "append", coq: "concat_vec"} : forall ('n : Int) ('m : Int).
+val bitvector_concat = {ocaml: "append", interpreter: "append", lem: "concat_vec", c: "append", coq: "concat_vec"} : forall ('n : Int) ('m : Int).
(bits('n), bits('m)) -> bits('n + 'm)
overload append = {bitvector_concat}
@@ -79,6 +92,7 @@ val "append_64" : forall 'n. (bits('n), bits(64)) -> bits('n + 64)
val bitvector_access = {
ocaml: "access",
+ interpreter: "access",
lem: "access_vec_dec",
coq: "access_vec_dec",
c: "vector_access"
@@ -86,31 +100,35 @@ val bitvector_access = {
val plain_vector_access = {
ocaml: "access",
+ interpreter: "access",
lem: "access_list_dec",
coq: "vec_access_dec",
c: "vector_access"
-} : forall ('n : Int) ('m : Int) ('a : Type), 0 <= 'm < 'n. (vector('n, dec, 'a), atom('m)) -> 'a
+} : forall ('n : Int) ('m : Int) ('a : Type), 0 <= 'm < 'n. (vector('n, dec, 'a), int('m)) -> 'a
overload vector_access = {bitvector_access, plain_vector_access}
val bitvector_update = {
ocaml: "update",
+ interpreter: "update",
lem: "update_vec_dec",
coq: "update_vec_dec",
c: "vector_update"
-} : forall 'n 'm, 0 <= 'm < 'n. (bits('n), atom('m), bit) -> bits('n)
+} : forall 'n 'm, 0 <= 'm < 'n. (bits('n), int('m), bit) -> bits('n)
val plain_vector_update = {
ocaml: "update",
+ interpreter: "update",
lem: "update_list_dec",
coq: "vec_update_dec",
c: "vector_update"
-} : forall 'n 'm ('a : Type), 0 <= 'm < 'n. (vector('n, dec, 'a), atom('m), 'a) -> vector('n, dec, 'a)
+} : forall 'n 'm ('a : Type), 0 <= 'm < 'n. (vector('n, dec, 'a), int('m), 'a) -> vector('n, dec, 'a)
overload vector_update = {bitvector_update, plain_vector_update}
val add_bits = {
ocaml: "add_vec",
+ interpreter: "add_vec",
lem: "add_vec",
c: "add_bits",
coq: "add_vec"
@@ -118,6 +136,7 @@ val add_bits = {
val add_bits_int = {
ocaml: "add_vec_int",
+ interpreter: "add_vec_int",
lem: "add_vec_int",
c: "add_bits_int",
coq: "add_vec_int"
@@ -134,66 +153,80 @@ val sub_bits = {
val not_vec = {c: "not_bits", _: "not_vec"} : forall 'n. bits('n) -> bits('n)
-val and_vec = {lem: "and_vec", c: "and_bits", coq: "and_vec", ocaml: "and_vec"} : forall 'n. (bits('n), bits('n)) -> bits('n)
+val and_vec = {
+ lem: "and_vec",
+ c: "and_bits",
+ coq: "and_vec",
+ ocaml: "and_vec",
+ interpreter: "and_vec"
+} : forall 'n. (bits('n), bits('n)) -> bits('n)
overload operator & = {and_vec}
-val or_vec = {lem: "or_vec", c: "or_bits", coq: "or_vec", ocaml: "or_vec"} : forall 'n. (bits('n), bits('n)) -> bits('n)
+val or_vec = {
+ lem: "or_vec",
+ c: "or_bits",
+ coq: "or_vec",
+ ocaml: "or_vec",
+ interpreter: "or_vec"
+} : forall 'n. (bits('n), bits('n)) -> bits('n)
overload operator | = {or_vec}
val vector_subrange = {
ocaml: "subrange",
+ interpreter: "subrange",
lem: "subrange_vec_dec",
c: "vector_subrange",
coq: "subrange_vec_dec"
} : forall ('n : Int) ('m : Int) ('o : Int), 0 <= 'o <= 'm < 'n.
- (bits('n), atom('m), atom('o)) -> bits('m - 'o + 1)
+ (bits('n), int('m), int('o)) -> bits('m - 'o + 1)
val vector_update_subrange = {
ocaml: "update_subrange",
+ interpreter: "update_subrange",
lem: "update_subrange_vec_dec",
c: "vector_update_subrange",
coq: "update_subrange_vec_dec"
-} : forall 'n 'm 'o, 0 <= 'o <= 'm < 'n. (bits('n), atom('m), atom('o), bits('m - ('o - 1))) -> bits('n)
+} : forall 'n 'm 'o, 0 <= 'o <= 'm < 'n. (bits('n), int('m), int('o), bits('m - ('o - 1))) -> bits('n)
val sail_shiftleft = "shiftl" : forall 'n ('ord : Order).
- (vector('n, 'ord, bit), int) -> vector('n, 'ord, bit) effect pure
+ (bitvector('n, 'ord), int) -> bitvector('n, 'ord) effect pure
val sail_shiftright = "shiftr" : forall 'n ('ord : Order).
- (vector('n, 'ord, bit), int) -> vector('n, 'ord, bit) effect pure
+ (bitvector('n, 'ord), int) -> bitvector('n, 'ord) effect pure
val sail_arith_shiftright = "arith_shiftr" : forall 'n ('ord : Order).
- (vector('n, 'ord, bit), int) -> vector('n, 'ord, bit) effect pure
+ (bitvector('n, 'ord), int) -> bitvector('n, 'ord) effect pure
-val sail_zeros = "zeros" : forall 'n, 'n >= 0. atom('n) -> bits('n)
+val sail_zeros = "zeros" : forall 'n, 'n >= 0. int('n) -> bits('n)
-val sail_ones : forall 'n, 'n >= 0. atom('n) -> bits('n)
+val sail_ones : forall 'n, 'n >= 0. int('n) -> bits('n)
function sail_ones(n) = not_vec(sail_zeros(n))
// Some ARM specific builtins
val slice = "slice" : forall 'n 'm 'o, 0 <= 'm & 0 <= 'n.
- (bits('m), atom('o), atom('n)) -> bits('n)
+ (bits('m), int('o), int('n)) -> bits('n)
-val replicate_bits = "replicate_bits" : forall 'n 'm. (bits('n), atom('m)) -> bits('n * 'm)
+val replicate_bits = "replicate_bits" : forall 'n 'm. (bits('n), int('m)) -> bits('n * 'm)
val slice_mask : forall 'n, 'n >= 0. (implicit('n), int, int) -> bits('n) effect pure
function slice_mask(n,i,l) =
if l >= n then {
- sail_ones(n)
+ sail_shiftleft(sail_ones(n), i)
} else {
let one : bits('n) = sail_mask(n, [bitone] : bits(1)) in
sail_shiftleft(sub_bits(sail_shiftleft(one, l), one), i)
}
-val get_slice_int = "get_slice_int" : forall 'w. (atom('w), int, int) -> bits('w)
+val get_slice_int = "get_slice_int" : forall 'w. (int('w), int, int) -> bits('w)
-val set_slice_int = "set_slice_int" : forall 'w. (atom('w), int, int, bits('w)) -> int
+val set_slice_int = "set_slice_int" : forall 'w. (int('w), int, int, bits('w)) -> int
val set_slice_bits = "set_slice" : forall 'n 'm.
- (atom('n), atom('m), bits('n), int, bits('m)) -> bits('n)
+ (int('n), int('m), bits('n), int, bits('m)) -> bits('n)
/*!
converts a bit vector of length $n$ to an integer in the range $0$ to $2^n - 1$.
@@ -215,6 +248,6 @@ val signed = {
_: "sint"
} : forall 'n, 'n > 0. bits('n) -> range(- (2 ^ ('n - 1)), 2 ^ ('n - 1) - 1)
-overload __size = {__id, length}
+overload __size = {__id, bitvector_length}
$endif