Require Import Coqlib.
Require Import Errors.
Require Import AST.
Require Import Integers.
Require Import Floats.
Require Import Op.
Require Import Events.
Require Import Globalenvs.
Require Import Smallstep.
Require Import Values.
Require Import Memory.
Require Import Maps.
Require Import ZSet.
Require Import ListLemma2.
Require Import CommonTactic.
Require Import AuxLemma.
Require Import AuxStateDataType.
Require Import RealParams.
Require Import RefinementTactic.
Require Import PrimSemantics.
Require Import LayerCalculusLemma.
Require Import TacticsForTesting.
Require Import liblayers.logic.PTreeModules.
Require Import liblayers.logic.LayerLogicImpl.
Require Import liblayers.compcertx.Stencil.
Require Import liblayers.compcertx.MakeProgram.
Require Import liblayers.compat.CompatLayers.
Require Import liblayers.compat.CompatGenSem.
Require Import AbsMachine.Layer.
Require Import AbsMachine.Spec.
Require Import HypsecCommLib.
Require Import Constants.
Require Import PTAlloc.Spec.
Require Import PTAlloc.Layer.
Require Import RData.
Local Open Scope Z_scope.
Local Opaque Z.add Z.mul Z.div Z.shiftl Z.shiftr Z.land Z.lor.
Section PTAllocProofHigh.
Local Open Scope string_scope.
Local Open Scope Z_scope.
Context `{real_params: RealParams}.
Notation HDATA := RData.
Notation LDATA := RData.
Notation HDATAOps := (cdata (cdata_ops := PTAlloc_ops) HDATA).
Notation LDATAOps := (cdata (cdata_ops := AbsMachine_ops) LDATA).
Section WITHMEM.
Context `{Hstencil: Stencil}.
Context `{Hmem: Mem.MemoryModelX}.
Context `{Hmwd: UseMemWithData mem}.
Record relate_RData (f:meminj) (hadt: HDATA) (ladt: LDATA) :=
mkrelate_RData {
id_rel: hadt = ladt
}.
Inductive match_RData: stencil -> HDATA -> mem -> meminj -> Prop :=
| MATCH_RDATA: forall habd m f s, match_RData s habd m f.
Local Hint Resolve MATCH_RDATA.
Global Instance rel_ops: CompatRelOps HDATAOps LDATAOps :=
{
relate_AbData s f d1 d2 := relate_RData f d1 d2;
match_AbData s d1 m f := match_RData s d1 m f;
new_glbl := nil
}.
Global Instance rel_prf: CompatRel HDATAOps LDATAOps.
Proof.
constructor; intros; simpl; trivial.
constructor; inv H; trivial.
Qed.
Section FreshPrim.
Hint Unfold
alloc_pgd_page_spec
alloc_pgd_page_spec0
alloc_pud_page_spec
alloc_pud_page_spec0
alloc_pmd_page_spec
alloc_pmd_page_spec0
get_pgd_next_spec
set_pgd_next_spec
get_pud_next_spec
set_pud_next_spec
get_pmd_next_spec
set_pmd_next_spec
check64_spec
panic_spec.
Lemma alloc_pgd_page_spec_exists:
forall habd habd' labd vmid res f
(Hspec: alloc_pgd_page_spec vmid habd = Some (habd', (VZ64 res)))
(Hrel: relate_RData f habd labd),
exists labd', alloc_pgd_page_spec0 vmid labd = Some (labd', (VZ64 res)) /\ relate_RData f habd' labd'.
Proof.
intros. inv Hrel. repeat autounfold in *.
repeat (simpl_hyp Hspec; contra); inv Hspec; repeat (srewrite; simpl); bool_rel_all.
destruct_if. eexists; split. reflexivity. constructor. reflexivity.
eexists; split. reflexivity.
constructor. rewrite <- C0. destruct habd'; destruct shared; simpl; reflexivity.
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
eexists; split. reflexivity. constructor. reflexivity.
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
eexists; split. reflexivity. constructor. reflexivity.
Qed.
Lemma alloc_pgd_page_spec_ref:
compatsim (crel HDATA LDATA) (gensem alloc_pgd_page_spec) alloc_pgd_page_spec_low.
Proof.
Opaque alloc_pgd_page_spec.
compatsim_simpl (@match_RData).
exploit alloc_pgd_page_spec_exists; eauto 1;
intros (labd' & Hspec & Hrel).
refine_split; repeat (try econstructor; eauto).
Transparent alloc_pgd_page_spec.
Qed.
Lemma alloc_pud_page_spec_exists:
forall habd habd' labd vmid res f
(Hspec: alloc_pud_page_spec vmid habd = Some (habd', (VZ64 res)))
(Hrel: relate_RData f habd labd),
exists labd', alloc_pud_page_spec0 vmid labd = Some (labd', (VZ64 res)) /\ relate_RData f habd' labd'.
Proof.
intros. inv Hrel. repeat autounfold in *.
repeat (simpl_hyp Hspec; contra); inv Hspec; repeat (srewrite; simpl); bool_rel_all.
destruct_if. eexists; split. reflexivity. constructor. reflexivity.
eexists; split. reflexivity.
constructor. rewrite <- C0. destruct habd'; destruct shared; simpl; reflexivity.
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
eexists; split. reflexivity. constructor. reflexivity.
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
eexists; split. reflexivity. constructor. reflexivity.
Qed.
Lemma alloc_pud_page_spec_ref:
compatsim (crel HDATA LDATA) (gensem alloc_pud_page_spec) alloc_pud_page_spec_low.
Proof.
Opaque alloc_pud_page_spec.
compatsim_simpl (@match_RData).
exploit alloc_pud_page_spec_exists; eauto 1;
intros (labd' & Hspec & Hrel).
refine_split; repeat (try econstructor; eauto).
Transparent alloc_pud_page_spec.
Qed.
Lemma alloc_pmd_page_spec_exists:
forall habd habd' labd vmid res f
(Hspec: alloc_pmd_page_spec vmid habd = Some (habd', (VZ64 res)))
(Hrel: relate_RData f habd labd),
exists labd', alloc_pmd_page_spec0 vmid labd = Some (labd', (VZ64 res)) /\ relate_RData f habd' labd'.
Proof.
intros. inv Hrel. repeat autounfold in *.
repeat (simpl_hyp Hspec; contra); inv Hspec; repeat (srewrite; simpl); bool_rel_all.
destruct_if. eexists; split. reflexivity. constructor. reflexivity.
eexists; split. reflexivity.
constructor. rewrite <- C0. destruct habd'; destruct shared; simpl; reflexivity.
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
eexists; split. reflexivity. constructor. reflexivity.
extract_if; [try (apply andb_true_iff; split); bool_rel; trivial; somega|srewrite].
eexists; split. reflexivity. constructor. reflexivity.
Qed.
Lemma alloc_pmd_page_spec_ref:
compatsim (crel HDATA LDATA) (gensem alloc_pmd_page_spec) alloc_pmd_page_spec_low.
Proof.
Opaque alloc_pmd_page_spec.
compatsim_simpl (@match_RData).
exploit alloc_pmd_page_spec_exists; eauto 1;
intros (labd' & Hspec & Hrel).
refine_split; repeat (try econstructor; eauto).
Transparent alloc_pmd_page_spec.
Qed.
End FreshPrim.
Section PassthroughPrim.
Lemma passthrough_correct:
sim (crel HDATA LDATA) PTAlloc_passthrough AbsMachine.
Proof.
sim_oplus; layer_sim_simpl; compatsim_simpl (@match_AbData);
match_external_states_simpl; destruct match_related; srewrite; try reflexivity.
- unfold host_dabt_is_write_spec; srewrite; reflexivity.
- unfold host_get_fault_ipa_spec; srewrite; reflexivity.
- unfold set_vm_remap_addr_spec; srewrite; reflexivity.
- unfold host_dabt_get_rd_spec; srewrite; reflexivity.
- unfold clear_phys_page_spec; srewrite; reflexivity.
- unfold get_mem_region_cnt_spec; srewrite; reflexivity.
- unfold get_exception_vector_spec; srewrite; reflexivity.
- unfold read_hpfar_el2_spec; srewrite; reflexivity.
- unfold read_actlr_el1_spec; srewrite; reflexivity.
- unfold host_dabt_get_as_spec; srewrite; reflexivity.
- unfold read_esr_el2_spec; srewrite; reflexivity.
- unfold set_vm_kvm_spec; srewrite; reflexivity.
- unfold set_vm_mapped_pages_spec; srewrite; reflexivity.
- unfold readl_relaxed_spec; srewrite; reflexivity.
- unfold set_shadow_dirty_bit_spec; srewrite; reflexivity.
- unfold set_vm_load_size_spec; srewrite; reflexivity.
- unfold host_skip_instr_spec; srewrite; reflexivity.
- unfold set_vm_load_addr_spec; srewrite; reflexivity.
- unfold set_vm_vcpu_spec; srewrite; reflexivity.
- unfold readq_relaxed_spec; srewrite; reflexivity.
Qed.
End PassthroughPrim.
End WITHMEM.
End PTAllocProofHigh.