diff options
Diffstat (limited to 'lib/prelude.sail')
| -rw-r--r-- | lib/prelude.sail | 177 |
1 files changed, 78 insertions, 99 deletions
diff --git a/lib/prelude.sail b/lib/prelude.sail index 698a39a0..54d56c15 100644 --- a/lib/prelude.sail +++ b/lib/prelude.sail @@ -7,12 +7,14 @@ val cast forall Nat 'n, Nat 'm, Order 'ord. vector<'n,'m,'ord,bit> -> [|0:2**'m val forall Nat 'n, Nat 'l, Type 'a, 'l >= 0. (vector<'n,'l,dec,'a>, [|'n - 'l + 1:'n|]) -> 'a effect pure vector_access_dec val forall Nat 'n, Nat 'l, Type 'a, 'l >= 0. (vector<'n,'l,inc,'a>, [|'n:'n + 'l - 1|]) -> 'a effect pure vector_access_inc +overload vector_access [vector_access_inc; vector_access_dec] + (* Type safe vector subrange *) val forall Nat 'n, Nat 'l, Nat 'm, Nat 'o, Type 'a, 'l >= 0, 'm <= 'o, 'o <= 'l. (vector<'n,'l,inc,'a>, [:'m:], [:'o:]) -> vector<'m,'o - 'm,inc,'a> effect pure vector_subrange_inc val forall Nat 'n, Nat 'l, Nat 'm, Nat 'o, Type 'a, 'n >= 'm, 'm >= 'o, 'o >= 'n - 'l + 1. - (vector<'n,'l,dec,'a>, [:'m:], [:'o:]) -> vector<'m,('m - 'o) - 1,dec,'a> effect pure vector_subrange_dec + (vector<'n,'l,dec,'a>, [:'m:], [:'o:]) -> vector<'m,'m - 'o - 1,dec,'a> effect pure vector_subrange_dec overload vector_subrange [vector_subrange_inc; vector_subrange_dec] @@ -21,9 +23,7 @@ val forall Nat 'n1, Nat 'l1, Nat 'n2, Nat 'l2, Order 'o, Type 'a, 'l1 >= 0, 'l2 (vector<'n1,'l1,'o,'a>, vector<'n2,'l2,'o,'a>) -> vector<'n1,'l1 + 'l2,'o,'a> effect pure vector_append (* Implicit register dereferencing *) -val cast forall Type 'a. register<'a> -> 'a effect pure reg_deref - -overload vector_access [vector_access_inc; vector_access_dec] +val cast forall Type 'a. register<'a> -> 'a effect {rreg} reg_deref (* Bitvector duplication *) val forall Nat 'n. (bit, [:'n:]) -> vector<'n - 1,'n,dec,bit> effect pure duplicate @@ -64,139 +64,118 @@ val forall Nat 'n, Nat 'm, Order 'ord. vector<'n, 'm, 'ord, bit> -> bit effect p (* Arithmetic *) -val forall Nat 'n, Nat 'm. - (atom<'n>, atom<'m>) -> atom<'n+'m> effect pure add - -val forall Nat 'n, Nat 'o, Nat 'p, Order 'ord. - (vector<'o, 'n, 'ord, bit>, vector<'p, 'n, 'ord, bit>) -> vector<'o, 'n, 'ord, bit> effect pure add_vec +val forall Nat 'n, Nat 'm, Nat 'o, Nat 'p. + ([|'n:'m|], [|'o:'p|]) -> [|'n + 'o:'m + 'p|] effect pure add -val forall Nat 'n, Nat 'o, Nat 'p, Nat 'q, Order 'ord. - (vector<'o, 'n, 'ord, bit>, vector<'p, 'n, 'ord, bit>) -> range<'q, 2**'n> effect pure add_vec_vec_range +val (nat, nat) -> nat effect pure add_nat -(* FIXME: the parser is broken for 2**... it's just been hacked to work for this common case *) -val forall Nat 'n, Nat 'm, Nat 'o, Order 'ord, 'o <= 2** 'm - 1. - (vector<'n, 'm, 'ord, bit>, atom<'o>) -> vector<'n, 'm, 'ord, bit> effect pure add_vec_range +val (int, int) -> int effect pure add_int -val forall Nat 'n, Nat 'o, Nat 'p, Order 'ord. - (vector<'o, 'n, 'ord, bit>, vector<'p, 'n, 'ord, bit>) -> (vector<'o, 'n, 'ord, bit>, bit, bit) effect pure add_overflow_vec +val forall Nat 'n, Nat 'o, Order 'ord. + (vector<'o, 'n, 'ord, bit>, vector<'o, 'n, 'ord, bit>) -> vector<'o, 'n, 'ord, bit> effect pure add_vec -(* but it doesn't parse this -val forall Nat 'n, Nat 'm, Nat 'o, Order 'ord, 'o <= 2** 'm - 1. - (vector<'n, 'm, 'ord, bit>, atom<'o>) -> range<'o, 'o+2** 'm> effect pure add_vec_range_range - *) +val forall Nat 'n, Nat 'o, Order 'ord. + (vector<'o, 'n, 'ord, bit>, vector<'o, 'n, 'ord, bit>) -> (vector<'o, 'n, 'ord, bit>, bit, bit) effect pure add_overflow_vec -val forall Nat 'n, Nat 'm, Nat 'o, Order 'ord, 'o <= 2** 'm - 1. - (atom<'o>, vector<'n, 'm, 'ord, bit>) -> vector<'n, 'm, 'ord, bit> effect pure add_range_vec +val forall Nat 'n, Nat 'm, Nat 'o, Nat 'p. + ([|'n:'m|], [|'o:'p|]) -> [|'n - 'p:'m - 'o|] effect pure sub -(* or this -val forall Nat 'n, Nat 'm, Nat 'o, Order 'ord, 'o <= 2** 'm - 1. - (atom<'o>, vector<'n, 'm, 'ord, bit>) -> range<'o, 'o+2**'m-1> effect pure add_range_vec_range -*) +val (int, int) -> int effect pure sub_int -val forall Nat 'o, Nat 'p, Order 'ord. - (vector<'o, 'p, 'ord, bit>, bit) -> vector<'o, 'p, 'ord, bit> effect pure add_vec_bit +val forall Nat 'n, Nat 'm, Order 'ord. + (vector<'n,'m,'ord,bit>, int) -> vector<'n,'m,'ord,bit> effect pure sub_vec_int -val forall Nat 'o, Nat 'p, Order 'ord. - (bit, vector<'o, 'p, 'ord, bit>) -> vector<'o, 'p, 'ord, bit> effect pure add_bit_vec +val forall Nat 'n, Nat 'o, Order 'ord. + (vector<'o, 'n, 'ord, bit>, vector<'o, 'n, 'ord, bit>) -> vector<'o, 'n, 'ord, bit> effect pure sub_vec -val forall Nat 'n, Nat 'm. ([:'n:], [:'m:]) -> [:'n - 'm:] effect pure sub_exact -val forall Nat 'n, Nat 'm, Nat 'o, 'o <= 'm - 'n. ([|'n:'m|], [:'o:]) -> [|'n:'m - 'o|] effect pure sub_range -val forall Nat 'n, Nat 'm, Order 'ord. (vector<'n,'m,'ord,bit>, int) -> vector<'n,'m,'ord,bit> effect pure sub_bv +val forall Nat 'n, Nat 'o, Order 'ord. + (vector<'o, 'n, 'ord, bit>, vector<'o, 'n, 'ord, bit>) -> (vector<'o, 'n, 'ord, bit>, bit, bit) effect pure sub_underflow_vec overload (deinfix +) [ - add; add_vec; - add_vec_vec_range; - add_vec_range; add_overflow_vec; - add_vec_range_range; - add_range_vec; - add_range_vec_range; - add_vec_bit; - add_bit_vec; + add; + add_nat; + add_int ] overload (deinfix -) [ - sub_exact; - sub_bv; - sub_range; + sub_vec_int; + sub_vec; + sub_underflow_vec; + sub; + sub_int ] -(* Equality *) - -(* Sail gives a bunch of overloads for equality, but apparantly also -gives an equality and inequality for any type 'a, so why bother -overloading? *) - -val forall Type 'a. ('a, 'a) -> bool effect pure eq -val forall Type 'a. ('a, 'a) -> bool effect pure neq - -overload (deinfix ==) [eq] -overload (deinfix !=) [neq] - (* Boolean operators *) val bool -> bool effect pure bool_not val (bool, bool) -> bool effect pure bool_or val (bool, bool) -> bool effect pure bool_and -overload ~ [bool_not] -overload (deinfix &) [bool_and] -overload (deinfix |) [bool_or] +val forall Num 'n, Num 'm, Order 'ord. + vector<'n,'m,'ord,bit> -> vector<'n,'m,'ord,bit> effect pure bitwise_not -(* -val forall Nat 'n, Nat 'l, Nat 'm, Nat 'o, Type 'a, 'n >= 'm, 'm >= 'o, 'o >= 'n - 'l + 1. (vector<'n,'l,dec,'a>, [:'m:], [:'o:]) -> vector<'m,'m - 'o - 1,dec,'a> effect pure vector_subrange +val forall Num 'n, Num 'm, Order 'ord. + (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> vector<'n,'m,'ord,bit> effect pure bitwise_and -val forall Nat 'n, Nat 'l, Order 'ord. ([|0:1|], vector<'n,'l,'ord,bit>) -> bool effect pure vec_eq_01_left -val forall Nat 'n, Nat 'l, Order 'ord. (vector<'n,'l,'ord,bit>, [|0:1|]) -> bool effect pure vec_eq_01_right +val forall Num 'n, Num 'm, Order 'ord. + (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> vector<'n,'m,'ord,bit> effect pure bitwise_or -val forall Nat 'n, Nat 'l, Order 'ord. [|0:1|] -> vector<'n,'l,'ord,bit> effect pure cast_01_to_vec +overload ~ [bool_not; bitwise_not] +overload (deinfix &) [bool_and; bitwise_and] +overload (deinfix |) [bool_or; bitwise_or] -val forall Nat 'n, Nat 'm, Order 'ord. vector<'n,'m,'ord,bit> -> [|0:2**'m - 1|] effect pure cast_vec_to_range +(* Equality *) -val forall Type 'a. register<'a> -> 'a effect pure reg_deref +val forall Num 'n, Num 'm, Order 'ord. (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> bool effect pure eq_vec -val forall Nat 'n, Nat 'l, Type 'a. - (vector<'n,'l,dec,'a>, [|'n - 'l + 1:'n|], 'a) -> vector<'n,'l,dec,'a> - effect pure vector_update_dec +val forall Type 'a. ('a, 'a) -> bool effect pure eq -val forall Nat 'n, Nat 'm, Nat 'o, Type 'a, 'o <= 'm. - vector<'n,'m,dec,'a> -> vector<'o - 1,'o,dec,'a> - effect pure mask_dec +val forall Num 'n, Num 'm, Order 'ord. (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> bool effect pure neq_vec -val forall Nat 'n, Nat 'm, Nat 'o, Type 'a, 'o <= 'm. - vector<'n,'m,inc,'a> -> vector<0,'o,inc,'a> - effect pure mask_inc +val forall Type 'a. ('a, 'a) -> bool effect pure neq -val bool -> bool effect pure not -val (bool, bool) -> bool effect pure bool_or -val (bool, bool) -> bool effect pure bool_and +function forall Num 'n, Num 'm, Order 'ord. bool neq_vec (v1, v2) = bool_not(eq_vec(v1, v2)) -val forall Nat 'n. vector<'n,'n,dec,bit> -> bool effect pure cast_dec_bv_to_bool +overload (deinfix ==) [eq_vec; eq] +overload (deinfix !=) [neq_vec; neq] -val bit -> bool effect pure cast_bit_to_bool +val forall Num 'n, Num 'm, Order 'ord. (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> bool effect pure gteq_vec +val forall Num 'n, Num 'm, Order 'ord. (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> bool effect pure gt_vec +val forall Num 'n, Num 'm, Order 'ord. (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> bool effect pure lteq_vec +val forall Num 'n, Num 'm, Order 'ord. (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> bool effect pure lt_vec -val forall Nat 'n, Nat 'm. ([:'n:], [:'m:]) -> [:'n - 'm:] effect pure sub_exact -val forall Nat 'n, Nat 'm, Nat 'o, 'o <= 'm - 'n. ([|'n:'m|], [:'o:]) -> [|'n:'m - 'o|] effect pure sub_range -val forall Nat 'n, Nat 'm, Order 'ord. (vector<'n,'m,'ord,bit>, int) -> vector<'n,'m,'ord,bit> effect pure sub_bv +val (int, int) -> bool effect pure gteq_int +val (int, int) -> bool effect pure gt_int +val (int, int) -> bool effect pure lteq_int +val (int, int) -> bool effect pure lt_int -val [:1:] -> bit effect pure cast_one_bit -val forall Nat 'n, Order 'ord. [:1:] -> vector<'n,1,'ord,bit> effect pure cast_one_bv -val [:0:] -> bit effect pure cast_zero_bit -val forall Nat 'n, Order 'ord. [:0:] -> vector<'n,1,'ord,bit> effect pure cast_zero_bv +val forall Num 'n, Num 'm, Num 'o. ([|'n:'m|], [:'o:]) -> bool effect pure lt_range_atom +val forall Num 'n, Num 'm, Num 'o. ([|'n:'m|], [:'o:]) -> bool effect pure lteq_range_atom +val forall Num 'n, Num 'm, Num 'o. ([|'n:'m|], [:'o:]) -> bool effect pure gt_range_atom +val forall Num 'n, Num 'm, Num 'o. ([|'n:'m|], [:'o:]) -> bool effect pure gteq_range_atom +val forall Num 'n, Num 'm, Num 'o. ([:'n:], [|'m:'o|]) -> bool effect pure lt_atom_range +val forall Num 'n, Num 'm, Num 'o. ([:'n:], [|'m:'o|]) -> bool effect pure lteq_atom_range +val forall Num 'n, Num 'm, Num 'o. ([:'n:], [|'m:'o|]) -> bool effect pure gt_atom_range +val forall Num 'n, Num 'm, Num 'o. ([:'n:], [|'m:'o|]) -> bool effect pure gteq_atom_range -val forall Type 'a. ('a, 'a) -> bool effect pure eq_anything -val forall Type 'a. ('a, 'a) -> bool effect pure neq_anything +overload (deinfix >=) [gteq_range_atom; gteq_atom_range; gteq_vec; gteq_int] +overload (deinfix >) [gt_vec; gt_int] +overload (deinfix <=) [lteq_range_atom; lteq_atom_range; lteq_vec; lteq_int] +overload (deinfix <) [lt_vec; lt_int] -val forall Nat 'n, Order 'ord. vector<'n,1,'ord,bit> -> bool effect pure cast_vec_bool +val (int, int) -> int effect pure quotient -val forall Nat 'n, Nat 'm, Nat 'o, Nat 'p, Order 'ord, 'm >= 'n. - vector<'o,'n,'ord,bit> -> vector<'p,'m,'ord,bit> effect pure EXTS +overload (deinfix quot) [quotient] -val forall Nat 'n, Nat 'm, Order 'ord. - (vector<'n,'m,'ord,bit>, vector<'n,'m,'ord,bit>) -> vector<'n,'m,'ord,bit> - effect pure bv_add +val forall Num 'n, Num 'm, Order 'ord, Type 'a. vector<'n,'m,'ord,'a> -> [:'m:] effect pure length -val forall Nat 'n, Nat 'm, Nat 'o, 'n >= 'm - 1, 'o >= 'm - 1. - vector<'n,'m,dec,bit> -> vector<'o,'m,dec,bit> - effect pure ADJUST -*) +default Order dec + +val forall Nat 'W, 'W >= 1. bit[8 * 'W] -> bit[8 * 'W] effect pure reverse_endianness +function rec forall Nat 'W, 'W >= 1. bit[8 * 'W] reverse_endianness ((bit[8 * 'W]) value) = +{ + ([:8 * 'W:]) width := length(value); + if width <= 8 then value + else value[7..0] : reverse_endianness(value[(width - 1) .. 8]) +} |