1 | include "Clight/label.ma". |
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2 | include "Clight/SimplifyCasts.ma". |
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3 | include "Clight/switchRemoval.ma". |
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4 | include "Clight/toCminor.ma". |
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5 | include "Cminor/toRTLabs.ma". |
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6 | include "RTLabs/CostCheck.ma". |
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7 | include "RTLabs/CostInj.ma". |
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8 | |
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9 | definition front_end : clight_program → res (costlabel × clight_program × RTLabs_program) ≝ |
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10 | λp. |
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11 | let p ≝ program_switch_removal p in |
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12 | let 〈p',init_cost〉 ≝ clight_label p in |
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13 | let p ≝ simplify_program p' in |
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14 | ! p ← clight_to_cminor p; |
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15 | let p ≝ cminor_to_rtlabs init_cost p in |
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16 | if check_cost_program p then |
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17 | if check_program_cost_injectivity p then |
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18 | (return 〈init_cost,p',p〉) |
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19 | else |
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20 | (Error ? (msg RepeatedCostLabel)) |
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21 | else |
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22 | (Error ? (msg BadCostLabelling)). |
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23 | |
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24 | include "RTLabs/RTLabsToRTL.ma". |
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25 | include "RTL/RTLToERTL.ma". |
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26 | include "ERTL/ERTLToERTLptr.ma". |
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27 | include "ERTLptr/ERTLptrToLTL.ma". |
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28 | include "LTL/LTLToLIN.ma". |
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29 | include "LIN/LINToASM.ma". |
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30 | |
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31 | axiom compute_fixpoint : fixpoint_computer. |
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32 | axiom colour_graph : coloured_graph_computer. |
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33 | |
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34 | definition back_end : RTLabs_program → pseudo_assembly_program ≝ |
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35 | λp. |
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36 | let p ≝ rtlabs_to_rtl p in |
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37 | let p ≝ rtl_to_ertl p in |
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38 | let p ≝ ertl_to_ertlptr p in |
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39 | let p ≝ ertlptr_to_ltl compute_fixpoint colour_graph p in (* TODO: abstract over colouring *) |
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40 | let p ≝ ltl_to_lin p in |
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41 | lin_to_asm p. |
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42 | |
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43 | (* JHM: object_code and program_size_ok defns added *) |
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44 | include "ASM/CodeMemory.ma". |
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45 | |
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46 | include "ASM/Policy.ma". |
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47 | (* Equivalent to the inclusion of ASM/Policy.ma, waiting for that slow |
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48 | file to compile |
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49 | include "ASM/PolicyStep.ma". |
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50 | axiom jump_expansion': ∀program:preamble × (Σl:list labelled_instruction.lt (S (|l|)) 2^16 ∧ is_well_labelled_p l). |
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51 | option (Σsigma_policy:(Word → Word) × (Word → bool). |
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52 | let 〈sigma,policy〉≝ sigma_policy in |
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53 | sigma_policy_specification 〈\fst program,\snd program〉 sigma policy). *) |
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54 | |
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55 | definition assembler : pseudo_assembly_program → res (object_code × costlabel_map) ≝ |
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56 | λp. |
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57 | let 〈preamble, list_instr〉 ≝ p in |
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58 | ! list_instr_ok ← opt_to_res ? (msg AssemblyTooLarge) (program_ok_opt ? list_instr); |
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59 | let p' ≝ 〈preamble, list_instr〉 in |
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60 | ! sigma_pol ← opt_to_res ? (msg Jump_expansion_failed) (jump_expansion' p'); |
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61 | let sigma ≝ λppc. \fst sigma_pol ppc in |
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62 | let pol ≝ λppc. \snd sigma_pol ppc in |
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63 | OK ? (assembly p sigma pol). |
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64 | % [1: @list_instr_ok | cases daemon] |
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65 | qed. |
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66 | |
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67 | include "ASM/ASMCosts.ma". |
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68 | |
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69 | definition lift_cost_map_back_to_front : |
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70 | ∀clight, code_memory, lbls. |
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71 | let abstat ≝ ASM_abstract_status code_memory lbls in |
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72 | (∀l. (as_cost_labelled abstat l) + ¬(as_cost_labelled abstat l)) → |
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73 | as_cost_map abstat → clight_cost_map clight ≝ |
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74 | λclight,code_memory,lbls,dec,k,asm_cost_map. |
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75 | lift_sigma_map_id … 0 (* labels not present in out code get 0 *) |
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76 | dec k asm_cost_map. |
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77 | |
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78 | include "ASM/ASMCostsSplit.ma". |
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79 | |
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80 | (*CSC: move the next definitions, e.g. in BitVectorTrie *) |
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81 | definition in_codomain: ∀A:Type[0].∀n:nat. BitVectorTrie A n → A → Prop ≝ |
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82 | λA,n,m,a. ∃k:BitVector n. lookup_opt … k m = Some … a. |
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83 | |
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84 | definition strong_decidable: Prop → Type[0] ≝ |
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85 | λP:Prop. P + ¬ P. |
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86 | |
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87 | lemma strong_decidable_in_codomain: |
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88 | ∀A:DeqSet.∀n:nat.∀m: BitVectorTrie A n.∀a:A. |
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89 | strong_decidable (in_codomain A n m a). |
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90 | #A #n #m elim m |
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91 | [ normalize #a' #a inversion (a' == a) #H |
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92 | [ %1 %{(VEmpty …)} >(\P H) % |
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93 | | %2 % * #_ #EQ destruct lapply (\Pf H) /2/ ] |
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94 | | -n #n #L #R #Hl #Hr #a |
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95 | cases (Hl a) -Hl [#K %1 cases K #k #H %{(false:::k)} <H % ] #Hl |
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96 | cases (Hr a) -Hr [#K %1 cases K #k #H %{(true:::k)} <H % ] #Hr |
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97 | %2 % * #k cases (BitVector_Sn … k) ** #tl #EQ >EQ whd in ⊢ (??%? → ?); |
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98 | normalize nodelta whd in match (tail ???); #abs [ cases Hr | cases Hl ] /3/ |
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99 | | #n #A %2 % * #x normalize #abs destruct ] |
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100 | qed. |
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101 | |
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102 | definition compile : clight_program → |
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103 | res (object_code × costlabel_map × (𝚺labelled:clight_program. clight_cost_map labelled)) ≝ |
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104 | λp. |
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105 | ! 〈init_cost,p',p〉 ← front_end p; |
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106 | let p ≝ back_end p in |
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107 | ! p ← assembler p; |
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108 | let k ≝ ASM_cost_map p ? in |
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109 | let k' ≝ lift_cost_map_back_to_front |
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110 | p' |
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111 | (load_code_memory (\fst p)) |
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112 | (\snd p) |
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113 | ? k |
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114 | in |
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115 | return 〈p, ❬p', k'❭〉. |
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116 | [ @strong_decidable_in_codomain |
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117 | | cases daemon ] |
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118 | qed. |
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