128 lines
3.7 KiB
Plaintext
128 lines
3.7 KiB
Plaintext
(*
|
|
* Copyright 2014, NICTA
|
|
*
|
|
* This software may be distributed and modified according to the terms of
|
|
* the BSD 2-Clause license. Note that NO WARRANTY is provided.
|
|
* See "LICENSE_BSD2.txt" for details.
|
|
*
|
|
* @TAG(NICTA_BSD)
|
|
*)
|
|
|
|
theory CommonOps
|
|
|
|
imports "../../lib/CTranslationNICTA"
|
|
"GlobalsSwap"
|
|
|
|
begin
|
|
|
|
text {* Additional constants needed to make conversion to and from the graph lang easy *}
|
|
|
|
definition
|
|
bvshl :: "'a :: len0 word \<Rightarrow> 'a word \<Rightarrow> 'a word"
|
|
where
|
|
"bvshl x y = x << (unat y)"
|
|
|
|
definition
|
|
bvlshr :: "'a :: len0 word \<Rightarrow> 'a word \<Rightarrow> 'a word"
|
|
where
|
|
"bvlshr x y = x >> (unat y)"
|
|
|
|
definition
|
|
bvashr :: "'a :: len word \<Rightarrow> 'a word \<Rightarrow> 'a word"
|
|
where
|
|
"bvashr x y = x >>> (unat y)"
|
|
|
|
definition
|
|
bv_shift_amount :: "nat => 'a :: len word"
|
|
where
|
|
"bv_shift_amount n = of_nat (min n ((2 ^ len_of TYPE('a)) - 1))"
|
|
|
|
definition
|
|
bv_clz :: "('a :: len) word \<Rightarrow> 'a word"
|
|
where
|
|
"bv_clz x = of_nat (word_clz x)"
|
|
|
|
definition
|
|
bv_ctz :: "('a :: len) word \<Rightarrow> 'a word"
|
|
where
|
|
"bv_ctz x = of_nat (word_ctz x)"
|
|
|
|
definition
|
|
bv_popcount :: "('a :: len) word \<Rightarrow> 'a word"
|
|
where
|
|
"bv_popcount x = of_nat (pop_count x)"
|
|
|
|
definition
|
|
"mem_acc mem addr = h_val mem (Ptr addr)"
|
|
|
|
definition
|
|
"mem_upd mem addr v = heap_update (Ptr addr) v mem"
|
|
|
|
definition
|
|
"store_word32 (addr :: addr) (w :: word32)
|
|
= heap_update_list addr (rev (word_rsplit w))"
|
|
|
|
definition
|
|
"load_word32 (addr :: addr) memory
|
|
= (word_rcat (rev (heap_list memory 4 addr)) :: word32)"
|
|
|
|
definition
|
|
"store_word8 (addr :: word32) (w :: word8) m = m (addr := w)"
|
|
|
|
definition
|
|
"load_word8 (addr :: word32) m = (m addr :: word8)"
|
|
|
|
definition
|
|
word_add_with_carry :: "('a :: len) word \<Rightarrow> 'a word \<Rightarrow> bool
|
|
\<Rightarrow> ('a word \<times> (bool \<times> bool))"
|
|
where
|
|
"word_add_with_carry x y cin \<equiv>
|
|
let cinw = if cin then 1 else 0
|
|
in (x + y + cinw,
|
|
unat (x + y + cinw) \<noteq> unat x + unat y + unat cinw,
|
|
(msb x \<noteq> msb y) \<and> (msb x \<noteq> msb (x + y + cinw)))"
|
|
|
|
definition
|
|
all_htd_updates :: "('a :: c_type) itself \<Rightarrow> word32 \<Rightarrow> addr \<Rightarrow> word32
|
|
\<Rightarrow> heap_typ_desc \<Rightarrow> heap_typ_desc"
|
|
where
|
|
"all_htd_updates (tp :: ('a :: c_type) itself) x y z
|
|
= (if x = 0
|
|
then typ_clear_region y (unat z)
|
|
else if x = 1 then ptr_retyps (unat z) (Ptr y :: 'a ptr)
|
|
else if x = 2 then typ_region_bytes y (unat z)
|
|
else if x = 3 then ptr_retyps (2 ^ unat z) (Ptr y :: 'a ptr)
|
|
else if x = 4 then ptr_arr_retyps (unat z) (Ptr y :: 'a ptr)
|
|
else ptr_arr_retyps (2 ^ unat z) (Ptr y :: 'a ptr))"
|
|
|
|
type_synonym ghost_assertions = "word64 \<Rightarrow> addr"
|
|
|
|
definition
|
|
ghost_assertion_data_get :: "int \<Rightarrow> ('a \<Rightarrow> ghost_assertions) \<Rightarrow> 'a \<Rightarrow> addr"
|
|
where
|
|
"ghost_assertion_data_get k acc s = (acc s) (word_of_int k)"
|
|
|
|
definition
|
|
ghost_assertion_data_set :: "int \<Rightarrow> addr \<Rightarrow> ((ghost_assertions \<Rightarrow> ghost_assertions) \<Rightarrow> 'a \<Rightarrow> 'a) \<Rightarrow> 'a \<Rightarrow> 'a"
|
|
where
|
|
"ghost_assertion_data_set k v upd = upd (\<lambda>f. f (word_of_int k := v))"
|
|
|
|
definition
|
|
"pvalid htd (v :: ('a :: c_type) itself) x = h_t_valid htd c_guard (Ptr x :: 'a ptr)"
|
|
|
|
definition
|
|
"palign_valid (v :: ('a :: c_type) itself) x = c_guard (Ptr x :: 'a ptr)"
|
|
|
|
definition
|
|
"pweak_valid htd (v :: ('a :: c_type) itself) x = ptr_safe (Ptr x :: 'a ptr) htd"
|
|
|
|
definition
|
|
"pglobal_valid htd (v :: ('a :: mem_type) itself) x = ptr_inverse_safe (Ptr x :: 'a ptr) htd"
|
|
|
|
definition
|
|
"parray_valid htd (v :: ('a :: c_type) itself) x n
|
|
= array_assertion (Ptr x :: 'a ptr) (unat n) htd"
|
|
|
|
end
|
|
|