223 lines
8.3 KiB
Plaintext
223 lines
8.3 KiB
Plaintext
(*
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* Copyright 2014, General Dynamics C4 Systems
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*
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* This software may be distributed and modified according to the terms of
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* the GNU General Public License version 2. Note that NO WARRANTY is provided.
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* See "LICENSE_GPLv2.txt" for details.
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*
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* @TAG(GD_GPL)
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*)
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theory TcbAcc_C
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imports "../../lib/clib/Ctac"
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begin
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context kernel
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begin
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lemma ccorres_pre_threadGet:
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assumes cc: "\<And>rv. ccorres r xf (P rv) (P' rv) hs (g rv) c"
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shows "ccorres r xf
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(\<lambda>s. \<forall>tcb. ko_at' tcb p s \<longrightarrow> P (f tcb) s)
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({s'. \<forall>tcb ctcb. cslift s' (tcb_ptr_to_ctcb_ptr p) = Some ctcb \<and> ctcb_relation tcb ctcb \<longrightarrow> s' \<in> P' (f tcb)})
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hs (threadGet f p >>= (\<lambda>rv. g rv)) c"
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apply (rule ccorres_guard_imp)
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apply (rule ccorres_symb_exec_l)
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defer
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apply wp[1]
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apply (rule tg_sp')
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apply simp
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apply assumption
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defer
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apply (rule ccorres_guard_imp)
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apply (rule cc)
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apply clarsimp
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apply (frule obj_at_ko_at')
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apply clarsimp
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apply assumption
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apply clarsimp
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apply (frule (1) obj_at_cslift_tcb)
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apply clarsimp
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done
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lemma threadGet_eq:
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"ko_at' tcb thread s \<Longrightarrow> (f tcb, s) \<in> fst (threadGet f thread s)"
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unfolding threadGet_def
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apply (simp add: liftM_def in_monad)
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apply (rule exI [where x = tcb])
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apply simp
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apply (subst getObject_eq)
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apply simp
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apply (simp add: objBits_simps)
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apply assumption
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apply simp
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done
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lemma get_tsType_ccorres [corres]:
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"ccorres (\<lambda>r r'. r' = thread_state_to_tsType r) ret__unsigned_' (tcb_at' thread)
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(UNIV \<inter> {s. thread_state_ptr_' s = Ptr &(tcb_ptr_to_ctcb_ptr thread\<rightarrow>[''tcbState_C''])}) []
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(getThreadState thread) (Call thread_state_ptr_get_tsType_'proc)"
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unfolding getThreadState_def
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apply (rule ccorres_from_spec_modifies)
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apply (rule thread_state_ptr_get_tsType_spec)
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apply (rule thread_state_ptr_get_tsType_modifies)
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apply simp
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apply (frule (1) obj_at_cslift_tcb)
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apply (clarsimp simp: typ_heap_simps)
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apply (frule (1) obj_at_cslift_tcb)
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apply (clarsimp simp: typ_heap_simps)
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apply (rule bexI [rotated, OF threadGet_eq], assumption)
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apply simp
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apply (erule ctcb_relation_thread_state_to_tsType)
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done
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lemma threadGet_obj_at2:
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"\<lbrace>\<top>\<rbrace> threadGet f thread \<lbrace>\<lambda>v. obj_at' (\<lambda>t. f t = v) thread\<rbrace>"
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apply (rule hoare_post_imp)
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prefer 2
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apply (rule tg_sp')
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apply simp
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done
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lemma register_from_H_less:
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"register_from_H hr < 18"
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by (cases hr, simp_all add: "StrictC'_register_defs")
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lemma register_from_H_sless:
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"register_from_H hr <s 18"
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by (cases hr, simp_all add: "StrictC'_register_defs" word_sless_def word_sle_def)
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lemma register_from_H_0_sle[simp]:
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"0 <=s register_from_H hr"
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using word_0_sle_from_less[OF order_less_le_trans] register_from_H_less
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by fastforce
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lemma getRegister_ccorres [corres]:
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"ccorres (op =) ret__unsigned_long_' \<top>
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({s. thread_' s = tcb_ptr_to_ctcb_ptr thread} \<inter> {s. reg_' s = register_from_H reg}) []
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(asUser thread (getRegister reg)) (Call getRegister_'proc)"
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apply (unfold asUser_def)
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apply (rule ccorres_guard_imp)
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apply (rule ccorres_symb_exec_l [where Q="\<lambda>u. obj_at' (\<lambda>t. tcbContext t = u) thread" and
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Q'="\<lambda>rv. {s. thread_' s = tcb_ptr_to_ctcb_ptr thread} \<inter> {s. reg_' s = register_from_H reg}"])
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apply (rule ccorres_from_vcg)
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apply (rule allI, rule conseqPre)
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apply vcg
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apply clarsimp
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apply (drule (1) obj_at_cslift_tcb)
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apply (clarsimp simp: typ_heap_simps register_from_H_less register_from_H_sless)
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apply (clarsimp simp: getRegister_def typ_heap_simps)
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apply (rule_tac x = "(tcbContext ko reg, \<sigma>)" in bexI [rotated])
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apply (simp add: in_monad' asUser_def select_f_def split_def)
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apply (subst arg_cong2 [where f = "op \<in>"])
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defer
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apply (rule refl)
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apply (erule threadSet_eq)
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apply (clarsimp simp: ctcb_relation_def ccontext_relation_def)
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apply (wp threadGet_obj_at2)
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apply simp
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apply simp
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apply (erule obj_atE')
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apply (clarsimp simp: projectKOs )
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apply (subst fun_upd_idem)
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apply (case_tac ko)
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apply clarsimp
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apply simp
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done
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lemma getRestartPC_ccorres [corres]:
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"ccorres (op =) ret__unsigned_long_' \<top> \<lbrace>\<acute>thread = tcb_ptr_to_ctcb_ptr thread\<rbrace> []
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(asUser thread getRestartPC) (Call getRestartPC_'proc)"
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unfolding getRestartPC_def
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apply (cinit')
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apply (rule ccorres_add_return2, ctac)
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apply (rule ccorres_return_C, simp+)[1]
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apply wp
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apply vcg
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apply (simp add: scast_id)
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done
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lemma threadSet_corres_lemma:
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assumes spec: "\<forall>s. \<Gamma>\<turnstile> \<lbrace>s. P s\<rbrace> Call f {t. Q s t}"
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and mod: "modifies_heap_spec f"
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and rl: "\<And>\<sigma> x t ko. \<lbrakk>(\<sigma>, x) \<in> rf_sr; Q x t; x \<in> P'; ko_at' ko thread \<sigma>\<rbrakk>
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\<Longrightarrow> (\<sigma>\<lparr>ksPSpace := ksPSpace \<sigma>(thread \<mapsto> KOTCB (g ko))\<rparr>,
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t\<lparr>globals := globals x\<lparr>t_hrs_' := t_hrs_' (globals t)\<rparr>\<rparr>) \<in> rf_sr"
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and g: "\<And>s x. \<lbrakk>tcb_at' thread s; x \<in> P'; (s, x) \<in> rf_sr\<rbrakk> \<Longrightarrow> P x"
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shows "ccorres dc xfdc (tcb_at' thread) P' [] (threadSet g thread) (Call f)"
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apply (rule ccorres_Call_call_for_vcg)
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apply (rule ccorres_from_vcg)
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apply (rule allI, rule conseqPre)
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apply (rule HoarePartial.ProcModifyReturnNoAbr [where return' = "\<lambda>s t. t\<lparr> globals := globals s\<lparr>t_hrs_' := t_hrs_' (globals t) \<rparr>\<rparr>"])
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apply (rule HoarePartial.ProcSpecNoAbrupt [OF _ _ spec])
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apply (rule subset_refl)
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apply vcg
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prefer 2
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apply (rule mod)
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apply (clarsimp simp: mex_def meq_def)
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apply clarsimp
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apply (rule conjI)
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apply (erule (2) g)
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apply clarsimp
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apply (frule obj_at_ko_at')
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apply clarsimp
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apply (rule bexI [rotated])
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apply (erule threadSet_eq)
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apply simp
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apply (rule_tac x1 = "t\<lparr>globals := globals x\<lparr>t_hrs_' := t_hrs_' (globals t)\<rparr>\<rparr>" in iffD1 [OF rf_sr_upd], simp_all)[1]
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apply (erule (3) rl)
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done
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lemma threadSet_ccorres_lemma4:
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"\<lbrakk> \<And>s tcb. \<Gamma> \<turnstile> (Q s tcb) c {s'. (s \<lparr>ksPSpace := ksPSpace s(thread \<mapsto> injectKOS (F tcb))\<rparr>, s') \<in> rf_sr};
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\<And>s s' tcb tcb'. \<lbrakk> (s, s') \<in> rf_sr; P tcb; ko_at' tcb thread s;
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cslift s' (tcb_ptr_to_ctcb_ptr thread) = Some tcb';
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ctcb_relation tcb tcb'; P' s ; s' \<in> R\<rbrakk> \<Longrightarrow> s' \<in> Q s tcb \<rbrakk>
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\<Longrightarrow> ccorres dc xfdc (obj_at' (P :: tcb \<Rightarrow> bool) thread and P') R hs (threadSet F thread) c"
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apply (rule ccorres_from_vcg)
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apply (rule allI)
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apply (case_tac "obj_at' P thread \<sigma>")
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apply (drule obj_at_ko_at', clarsimp)
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apply (rule conseqPre, rule conseqPost)
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apply assumption
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apply clarsimp
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apply (rule rev_bexI, rule threadSet_eq)
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apply assumption
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apply simp
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apply simp
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apply clarsimp
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apply (drule(1) obj_at_cslift_tcb, clarsimp)
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apply simp
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apply (rule hoare_complete')
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apply (simp add: cnvalid_def nvalid_def) (* pretty *)
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done
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lemmas threadSet_ccorres_lemma3 = threadSet_ccorres_lemma4[where R=UNIV]
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lemmas threadSet_ccorres_lemma2
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= threadSet_ccorres_lemma3[where P'=\<top>]
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lemma is_aligned_tcb_ptr_to_ctcb_ptr:
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"obj_at' (P :: tcb \<Rightarrow> bool) p s
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\<Longrightarrow> is_aligned (ptr_val (tcb_ptr_to_ctcb_ptr p)) 8"
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apply (clarsimp simp: obj_at'_def objBits_simps projectKOs
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tcb_ptr_to_ctcb_ptr_def ctcb_offset_def)
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apply (erule aligned_add_aligned, simp_all add: word_bits_conv)
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apply (simp add: is_aligned_def)
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done
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lemma sanitiseRegister_spec:
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"\<forall>s v r. \<Gamma> \<turnstile> ({s} \<inter> \<lbrace>\<acute>v___unsigned_long = v\<rbrace> \<inter> \<lbrace>\<acute>reg = register_from_H r\<rbrace>)
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Call sanitiseRegister_'proc
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\<lbrace>\<acute>ret__unsigned_long = sanitiseRegister r v\<rbrace>"
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apply vcg
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apply (auto simp: C_register_defs ARM_H.sanitiseRegister_def
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ARM.sanitiseRegister_def word_0_sle_from_less
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split: register.split)
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done
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end
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end
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