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 SmmuRaw.Spec.
Require Import RData.
Require Import Constants.
Require Import HypsecCommLib.
Require Import SmmuRaw.Layer.
Require Import BootOps.Layer.
Require Import AbsMachine.Spec.
Local Open Scope Z_scope.
Local Opaque Z.add Z.mul Z.div Z.shiftl Z.shiftr Z.land Z.lor.
Section SmmuRawProofHigh.
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 := SmmuRaw_ops) HDATA).
Notation LDATAOps := (cdata (cdata_ops := BootOps_ops) HDATA).
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
smmu_get_cbndx_spec0
smmu_get_cbndx_spec
get_cur_vcpuid_spec
host_get_mmio_data_spec0
host_dabt_get_rd_spec
smmu_init_pte_spec
get_shadow_ctxt_spec
host_get_mmio_data_spec
smmu_init_pte_spec0.
Lemma host_get_mmio_data_spec_exists:
forall habd labd hsr res f
(Hspec: host_get_mmio_data_spec hsr habd = Some (VZ64 res))
(Hrel: relate_RData f habd labd),
host_get_mmio_data_spec0 hsr labd = Some (VZ64 res).
Proof.
intros; inv Hrel; repeat autounfold in *; repeat simpl_hyp Hspec; contra.
simpl. extract_if. apply andb_true_iff; split; bool_rel_all; somega.
rewrite Cond. assumption.
assumption.
Qed.
Lemma host_get_mmio_data_spec_ref:
compatsim (crel RData RData) (gensem host_get_mmio_data_spec) host_get_mmio_data_spec_low.
Proof.
Opaque host_get_mmio_data_spec.
compatsim_simpl (@match_RData).
exploit host_get_mmio_data_spec_exists; eauto 1;
refine_split; repeat (try econstructor; eauto).
Transparent host_get_mmio_data_spec.
Qed.
Lemma smmu_init_pte_spec_exists:
forall habd labd prot addr res f
(Hspec: smmu_init_pte_spec prot addr habd = Some (VZ64 res))
(Hrel: relate_RData f habd labd),
smmu_init_pte_spec0 prot addr labd = Some (VZ64 res).
Proof.
intros; inv Hrel; repeat autounfold in *; srewrite. reflexivity.
Qed.
Lemma smmu_init_pte_spec_ref:
compatsim (crel RData RData) (gensem smmu_init_pte_spec) smmu_init_pte_spec_low.
Proof.
Opaque smmu_init_pte_spec.
compatsim_simpl (@match_RData).
exploit smmu_init_pte_spec_exists; eauto 1;
refine_split; repeat (try econstructor; eauto).
Transparent smmu_init_pte_spec.
Qed.
Lemma smmu_get_cbndx_spec_exists:
forall habd labd offset res f
(Hspec: smmu_get_cbndx_spec offset habd = Some res)
(Hrel: relate_RData f habd labd),
smmu_get_cbndx_spec0 offset labd = Some res.
Proof.
intros; inv Hrel; repeat autounfold in *; srewrite. reflexivity.
Qed.
Lemma smmu_get_cbndx_spec_ref:
compatsim (crel RData RData) (gensem smmu_get_cbndx_spec) smmu_get_cbndx_spec_low.
Proof.
Opaque smmu_get_cbndx_spec.
compatsim_simpl (@match_RData).
exploit smmu_get_cbndx_spec_exists; eauto 1;
refine_split; repeat (try econstructor; eauto).
Transparent smmu_get_cbndx_spec.
Qed.
End FreshPrim.
Section PassthroughPrim.
Lemma passthrough_correct:
sim (crel HDATA LDATA) SmmuRaw_passthrough BootOps.
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_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 SmmuRawProofHigh.