1 | include "joint/SemanticUtils.ma". |
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2 | include "LTL/LTL.ma". (* CSC: syntax.ma in RTLabs *) |
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3 | |
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4 | definition ltl_more_sem_params: more_sem_params ltl_params_ := |
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5 | mk_more_sem_params ltl_params_ |
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6 | unit hw_register_env graph_succ_p |
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7 | hwreg_store hwreg_retrieve (λ_.hwreg_store RegisterA) (λe.λ_.hwreg_retrieve e RegisterA) |
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8 | (λ_.hwreg_store RegisterB) (λe.λ_.hwreg_retrieve e RegisterB) |
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9 | (λ_.hwreg_store RegisterDPL) (λe.λ_.hwreg_retrieve e RegisterDPL) |
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10 | (λ_.hwreg_store RegisterDPH) (λe.λ_.hwreg_retrieve e RegisterDPH) |
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11 | (λlocals,dest_src. |
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12 | match dest_src with |
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13 | [ from_acc reg ⇒ |
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14 | do v ← hwreg_retrieve locals RegisterA ; |
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15 | hwreg_store reg v locals |
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16 | | to_acc reg ⇒ |
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17 | do v ← hwreg_retrieve locals reg ; |
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18 | hwreg_store RegisterA v locals ]) |
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19 | pointer_of_label. |
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20 | definition ltl_sem_params: sem_params ≝ mk_sem_params … ltl_more_sem_params. |
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21 | |
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22 | definition ltl_init_locals : unit → hw_register_env → hw_register_env ≝ λ_.λe.e. |
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23 | definition ltl_pop_frame: state … ltl_sem_params → res (state … ltl_sem_params) ≝ λst. OK … st. |
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24 | definition ltl_save_frame: state … ltl_sem_params → state … ltl_sem_params ≝ λst.st. |
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25 | |
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26 | definition ltl_more_sem_params1 : more_sem_params1 … ltl_params1 ≝ |
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27 | mk_more_sem_params1 ? ltl_params1 ltl_more_sem_params |
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28 | ltl_init_locals ltl_pop_frame ltl_save_frame. |
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29 | |
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30 | (*CSC: XXXXX, for is_final only *) |
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31 | axiom ltl_fetch_result: state ltl_sem_params → nat → res val. |
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32 | |
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33 | (*CSC: XXXX, for external functions only*) |
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34 | axiom ltl_fetch_external_args: external_function → state ltl_sem_params → res (list val). |
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35 | axiom ltl_set_result: list val → state ltl_sem_params → res (state ltl_sem_params). |
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36 | |
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37 | definition ltl_exec_extended: ∀globals. genv globals (ltl_params globals) → False → state ltl_sem_params → IO io_out io_in (trace × (state ltl_sem_params)) |
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38 | ≝ λglobals,ge,abs. ⊥. |
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39 | @abs qed. |
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40 | |
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41 | definition ltl_more_sem_params2: ∀globals. more_sem_params2 … (ltl_params globals) ≝ |
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42 | λglobals. |
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43 | mk_more_sem_params2 … ltl_more_sem_params1 |
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44 | (graph_fetch_statement …) ltl_fetch_result ltl_fetch_external_args ltl_set_result |
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45 | (ltl_exec_extended …). |
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46 | |
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47 | definition ltl_fullexec ≝ |
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48 | joint_fullexec … (λp. ltl_more_sem_params2 (prog_var_names … p)). |
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49 | |
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50 | |
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51 | (* |
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52 | (* CSC: external functions never fail (??) and always return something of the |
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53 | size of one register, both in the frontend and in the backend. |
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54 | Is this reasonable??? In OCaml it always return a list, but in the frontend |
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55 | only the head is kept (or Undef if the list is empty) ??? *) |
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56 | |
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57 | (* CSC: carries are values and booleans are not values; so we use integers. |
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58 | But why using values at all? To have undef? *) |
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59 | (* CSC: ???????????? *) |
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60 | axiom smerge: val → val → res val. |
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61 | (* CSC: ???????????? In OCaml: IntValue.Int32.merge |
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62 | Note also that the translation can fail; so it should be a res int! *) |
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63 | axiom smerge2: list val → int. |
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64 | (* CSC: I have a byte, I need a value, but it is complex to do so *) |
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65 | axiom val_of_Byte: Byte → val. |
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66 | axiom Byte_of_val: val → res Byte. |
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67 | axiom val_of_nat: nat → val. |
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68 | (* Map from the front-end memory model to the back-end memory model *) |
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69 | axiom represent_block: block → val × val. |
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70 | (* CSC: fixed size chunk *) |
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71 | axiom chunk: memory_chunk. |
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72 | axiom val_of_memory_chunk: memory_chunk → val. (* CSC: only to shift the sp *) |
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73 | |
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74 | axiom address: Type[0]. |
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75 | axiom val_of_address: address → val. (* CSC: only to shift the sp *) |
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76 | axiom address_of_val: val → address. (* CSC: only to shift the sp *) |
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77 | axiom addr_sub: address → nat → address. |
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78 | axiom addr_add: address → nat → address. |
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79 | (* CSC: ??? *) |
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80 | axiom address_of_label: mem → label → address. |
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81 | axiom address_chunks_of_label: mem → label → Byte × Byte. |
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82 | axiom label_of_address_chunks: Byte → Byte → label. |
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83 | axiom address_of_address_chunks: Byte → Byte → address. |
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84 | axiom address_chunks_of_address: address → Byte × Byte. (* CSC: only to shift the hwsp *) |
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85 | axiom mRegisterMap: Type[0]. (* CSC: use the one in I8051? *) |
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86 | axiom hwreg_retrieve : mRegisterMap → Register → res val. |
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87 | axiom hwreg_store : Register → val → mRegisterMap → res mRegisterMap. |
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88 | |
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89 | definition genv ≝ λglobals. (genv_t Genv) (fundef (ltl_internal_function globals)). |
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90 | |
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91 | (* CSC: frame reduced to this |
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92 | definition frame: Type[0] ≝ unit. |
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93 | *) |
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94 | |
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95 | record state : Type[0] ≝ |
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96 | { st_frms: unit (* CSC: frames are no longer useful *) |
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97 | ; pc: address |
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98 | ; sp: address |
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99 | ; locals: unit (* CSC: no more locals *) |
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100 | ; carry: val |
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101 | ; regs: mRegisterMap |
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102 | ; m: mem |
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103 | }. |
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104 | |
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105 | definition set_m: mem → state → state ≝ |
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106 | λm,st. mk_state (st_frms st) (pc st) (sp st) (locals st) (carry st) (regs st) m. |
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107 | |
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108 | definition set_locals: (*CSC *) unit → state → state ≝ |
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109 | λlocals,st. mk_state (st_frms st) (pc st) (sp st) locals (carry st) (regs st) (m st). |
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110 | |
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111 | definition set_regs: mRegisterMap → state → state ≝ |
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112 | λregs,st. mk_state (st_frms st) (pc st) (sp st) (locals st) (carry st) regs (m st). |
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113 | |
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114 | definition set_sp: address → state → state ≝ |
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115 | λsp,st. mk_state (st_frms st) (pc st) sp (locals st) (carry st) (regs st) (m st). |
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116 | |
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117 | definition set_carry: val → state → state ≝ |
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118 | λcarry,st. mk_state (st_frms st) (pc st) (sp st) (locals st) carry (regs st) (m st). |
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119 | |
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120 | definition set_pc: address → state → state ≝ |
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121 | λpc,st. mk_state (st_frms st) pc (sp st) (locals st) (carry st) (regs st) (m st). |
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122 | |
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123 | (* CSC: was build_state in RTL *) |
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124 | definition goto: label → state → state ≝ |
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125 | λl,st. set_pc (address_of_label (m st) l) st. |
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126 | |
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127 | definition save_frame: state → state ≝ λst.st. (* CSC *) |
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128 | |
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129 | axiom FailedPopFrame: String. |
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130 | |
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131 | (* removes the top frame from the frames list *) |
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132 | definition pop_frame: state → res state ≝ λst.OK ? st. (* CSC *) |
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133 | |
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134 | axiom FailedStore: String. |
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135 | |
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136 | definition push: state → Byte → res state ≝ |
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137 | λst,v. |
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138 | let sp ≝ val_of_address (sp st) in |
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139 | (*CSC: no monadic notation here *) |
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140 | bind ?? (opt_to_res ? (msg FailedStore) (storev chunk (m st) sp (val_of_Byte v))) |
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141 | (λm. |
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142 | let sp ≝ address_of_val (add sp (val_of_memory_chunk chunk)) in |
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143 | OK ? (set_m m (set_sp sp st))). |
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144 | |
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145 | |
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146 | definition pop: state → res (state × Byte) ≝ |
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147 | λst:state. |
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148 | let sp ≝ val_of_address (sp st) in |
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149 | let sp ≝ sub sp (val_of_memory_chunk chunk) in |
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150 | let st ≝ set_sp (address_of_val sp) st in |
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151 | (*CSC: no monadic notation here *) |
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152 | bind ?? (opt_to_res ? (msg FailedStore) (loadv chunk (m st) sp)) |
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153 | (λv. bind ?? (Byte_of_val v) (λv. OK ? 〈st,v〉)). |
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154 | |
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155 | definition save_ra : state → label → res state ≝ |
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156 | λst,l. |
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157 | let 〈addrl,addrh〉 ≝ address_chunks_of_label (m st) l in |
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158 | (* No monadic notation here *) |
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159 | bind ?? (push st addrl) (λst.push st addrh). |
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160 | |
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161 | (*CSC: unused now |
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162 | definition fetch_ra : state → res (state × label) ≝ |
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163 | λst. |
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164 | (* No monadic notation here *) |
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165 | bind ?? (pop st) (λres. let 〈st,addrh〉 ≝ res in |
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166 | bind ?? (pop st) (λres. let 〈st,addrl〉 ≝ res in |
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167 | OK ? 〈st, label_of_address_chunks addrl addrh〉)). *) |
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168 | |
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169 | (*CSC: To be implemented *) |
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170 | |
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171 | axiom fetch_statement: ∀globals: list ident. state → res (ltl_statement globals). (* CSC *) |
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172 | axiom fetch_function: ∀globals: list ident. state → res (ltl_internal_function globals). (* CSC *) |
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173 | |
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174 | definition init_locals : list register → register_env val ≝ |
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175 | foldr ?? (λid,en. add RegisterTag val en id Vundef) (empty_map ??). |
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176 | |
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177 | definition reg_store ≝ |
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178 | λreg,v,locals. update RegisterTag val locals reg v. |
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179 | |
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180 | axiom BadRegister : String. |
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181 | |
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182 | definition reg_retrieve : register_env val → register → res val ≝ |
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183 | λlocals,reg. opt_to_res … [MSG BadRegister; CTX ? reg] (lookup ?? locals reg). |
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184 | |
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185 | axiom MissingSymbol : String. |
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186 | axiom FailedLoad : String. |
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187 | axiom BadFunction : String. |
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188 | |
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189 | (*CSC: to be implemented *) |
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190 | axiom fetch_external_args: external_function → state → res (list val).(* ≝ |
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191 | λfn,st. |
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192 | let registerno ≝ ? fn in |
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193 | ! vs ← |
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194 | mmap … |
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195 | (λr. hwreg_retrieve (regs st) r) (prefix … registersno RegisterParameters); |
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196 | (* CSC: HERE WE NEED TO RETRIEVE THE REMAINING REGISTERS FROM THE STACK! *) |
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197 | ?.*) |
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198 | |
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199 | (*CSC: to be implemented; fails if the first list is longer *) |
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200 | axiom fold_left2_first_not_longer: |
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201 | ∀A,B,C:Type[0]. ∀f:(C → A → B → res C). |
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202 | ∀acc:C. ∀l1:list A. ∀l2: list B. |
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203 | res C. |
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204 | |
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205 | (* CSC: the list should be a vector or have an upper bounded length *) |
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206 | definition set_result: list val → state → res state ≝ |
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207 | λvs,st. |
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208 | (* CSC: monadic notation not used *) |
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209 | bind ?? ( |
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210 | fold_left2_first_not_longer … |
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211 | (λregs,v,reg. hwreg_store reg v regs) (regs st) vs RegisterRets) |
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212 | (λregs.OK ? (set_regs regs st)). |
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213 | |
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214 | definition fetch_result: state → nat → res (list val) ≝ |
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215 | λst,registersno. |
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216 | let retregs ≝ prefix … registersno RegisterRets in |
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217 | mmap … (λr. hwreg_retrieve (regs st) r) retregs. |
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218 | |
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219 | definition framesize: list ident → state → res nat ≝ |
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220 | λglobals: list ident. |
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221 | λst. |
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222 | (* CSC: monadic notation missing here *) |
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223 | bind ?? (fetch_function globals st) (λf. |
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224 | OK ? (ltl_if_stacksize globals f)). |
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225 | |
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226 | definition get_hwsp : state → res address ≝ |
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227 | λst. |
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228 | (* CSC: monadic notation missing here *) |
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229 | bind ?? (hwreg_retrieve (regs st) RegisterSPL) (λspl. |
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230 | (* CSC: monadic notation missing here *) |
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231 | bind ?? (Byte_of_val spl) (λspl. |
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232 | (* CSC: monadic notation missing here *) |
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233 | bind ?? (hwreg_retrieve (regs st) RegisterSPL) (λsph. |
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234 | (* CSC: monadic notation missing here *) |
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235 | bind ?? (Byte_of_val sph) (λsph. |
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236 | OK ? (address_of_address_chunks spl sph))))). |
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237 | |
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238 | definition set_hwsp : address → state → res state ≝ |
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239 | λsp,st. |
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240 | let 〈spl,sph〉 ≝ address_chunks_of_address sp in |
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241 | (* CSC: monadic notation missing here *) |
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242 | bind ?? (hwreg_store RegisterSPL (val_of_Byte spl) (regs st)) (λregs. |
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243 | (* CSC: monadic notation missing here *) |
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244 | bind ?? (hwreg_store RegisterSPL (val_of_Byte sph) regs) (λregs. |
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245 | OK ? (set_regs regs st))). |
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246 | |
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247 | (* |
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248 | (* CSC: completely different because different type for registers_move *) |
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249 | definition retrieve: state → registers_move → res val ≝ |
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250 | λst. |
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251 | λr. |
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252 | match r with |
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253 | [ pseudo src ⇒ reg_retrieve (locals st) src |
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254 | | from_acc src ⇒ hwreg_retrieve (regs st) src |
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255 | ]. |
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256 | |
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257 | definition store ≝ |
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258 | λst. |
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259 | λv. |
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260 | λr. |
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261 | match r with |
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262 | [ pseudo dst ⇒ |
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263 | ! locals ← reg_store dst v (locals st); |
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264 | ret ? (set_locals locals st) |
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265 | | hardware dst ⇒ |
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266 | ! regs ← hwreg_store dst v (regs st); |
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267 | ret ? (set_regs regs st) |
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268 | ]. |
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269 | *) |
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270 | |
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271 | definition eval_statement : ∀globals: list ident. (genv globals) → state → IO io_out io_in (trace × state) ≝ |
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272 | λglobals. λge,st. |
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273 | ! s ← fetch_statement globals st; |
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274 | match s with |
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275 | [ joint_st_goto l ⇒ ret ? 〈E0, goto l st〉 |
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276 | | joint_st_sequential seq l ⇒ |
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277 | match seq with |
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278 | [ joint_instr_cost_label cl ⇒ ret ? 〈Echarge cl, goto l st〉 |
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279 | | joint_instr_comment c ⇒ ret ? 〈E0, goto l st〉 |
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280 | | joint_instr_int dest v ⇒ |
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281 | ! locals ← reg_store dest (val_of_Byte v) (locals st); |
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282 | ret ? 〈E0, goto l (set_locals locals st)〉 |
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283 | | joint_instr_load addrl addrh dst ⇒ |
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284 | ! vaddrh ← hwreg_retrieve (regs st) addrh; (*CSC*) |
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285 | ! vaddrl ← hwreg_retrieve (regs st) addrl; (*CSC*) |
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286 | ! vaddr ← smerge vaddrl vaddrh; |
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287 | ! v ← opt_to_res … (msg FailedLoad) (loadv chunk (m st) vaddr); |
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288 | ! regs ← hwreg_store dst v (regs st); (*CSC*) |
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289 | ret ? 〈E0, goto l (set_regs regs st)〉 |
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290 | | joint_instr_store addrl addrh src ⇒ |
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291 | ! vaddrh ← hwreg_retrieve (regs st) addrh; (*CSC*) |
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292 | ! vaddrl ← hwreg_retrieve (regs st) addrl; (*CSC*) |
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293 | ! vaddr ← smerge vaddrl vaddrh; |
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294 | ! v ← hwreg_retrieve (regs st) src; (*CSC*) |
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295 | ! m' ← opt_to_res … (msg FailedStore) (storev chunk (m st) vaddr v); |
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296 | ret ? 〈E0, goto l (set_m m' st)〉 |
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297 | | joint_instr_cond src ltrue ⇒ |
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298 | ! v ← hwreg_retrieve (regs st) src; (*CSC*) |
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299 | ! b ← eval_bool_of_val v; |
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300 | ret ? 〈E0, goto (if b then ltrue else l) st〉 |
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301 | | joint_instr_address ident prf ldest hdest ⇒ |
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302 | ! addr ← opt_to_res ? [MSG MissingSymbol; CTX … ident] (find_symbol ?? ge ident); |
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303 | let 〈laddr,haddr〉 ≝ represent_block addr in |
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304 | ! locals ← reg_store ldest laddr (locals st); |
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305 | ! locals ← reg_store hdest haddr locals; |
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306 | ret ? 〈E0, goto l (set_locals locals st)〉 |
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307 | | joint_instr_op1 op acc_a ⇒ |
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308 | ! v ← reg_retrieve (locals st) acc_a; |
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309 | ! v ← Byte_of_val v; |
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310 | let v' ≝ val_of_Byte (op1 eval op v) in |
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311 | ! locals ← reg_store acc_a v' (locals st); |
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312 | ret ? 〈E0, goto l (set_locals locals st)〉 |
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313 | | joint_instr_op2 op acc_a_reg dest ⇒ |
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314 | ! v1 ← reg_retrieve (locals st) acc_a_reg; |
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315 | ! v1 ← Byte_of_val v1; |
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316 | ! v2 ← reg_retrieve (locals st) acc_a_reg; |
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317 | ! v2 ← Byte_of_val v2; |
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318 | ! carry ← eval_bool_of_val (carry st); |
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319 | let 〈v',carry〉 ≝ op2 eval carry op v1 v2 in |
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320 | let v' ≝ val_of_Byte v' in |
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321 | let carry ≝ of_bool carry in |
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322 | ! locals ← reg_store dest v' (locals st); |
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323 | ret ? 〈E0, goto l (set_locals locals (set_carry carry st))〉 |
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324 | | joint_instr_clear_carry ⇒ ret ? 〈E0, goto l (set_carry Vfalse st)〉 |
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325 | | joint_instr_set_carry ⇒ ret ? 〈E0, goto l (set_carry Vtrue st)〉 |
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326 | | joint_instr_opaccs op acc_a_reg acc_b_reg ⇒ |
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327 | ! v1 ← reg_retrieve (locals st) acc_a_reg; |
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328 | ! v1 ← Byte_of_val v1; |
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329 | ! v2 ← reg_retrieve (locals st) acc_b_reg; |
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330 | ! v2 ← Byte_of_val v2; |
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331 | let 〈v1',v2'〉 ≝ opaccs eval op v1 v2 in |
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332 | let v1' ≝ val_of_Byte v1' in |
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333 | let v2' ≝ val_of_Byte v2' in |
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334 | ! locals ← reg_store acc_a_reg v1' (locals st); |
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335 | ! locals ← reg_store acc_b_reg v2' locals; |
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336 | ret ? 〈E0, goto l (set_locals locals st)〉 |
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337 | | joint_instr_pop dst ⇒ |
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338 | ! 〈st,v〉 ← pop st; |
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339 | ! locals ← reg_store dst (val_of_Byte v) (locals st); |
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340 | ret ? 〈E0, goto l (set_locals locals st)〉 |
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341 | | joint_instr_push src ⇒ |
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342 | ! v ← reg_retrieve (locals st) src; |
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343 | ! v ← Byte_of_val v; |
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344 | ! st ← push st v; |
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345 | ret ? 〈E0, goto l st〉 |
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346 | | joint_instr_move dst_src ⇒ |
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347 | let 〈dst, src〉 ≝ dst_src in |
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348 | ! v ← retrieve st src; |
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349 | ! st ← store st v dst; |
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350 | ret ? 〈E0, goto l st〉 |
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351 | (* |
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352 | | joint_instr_call_id id argsno ⇒ (* CSC: only the number of args kept, no return reg *) |
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353 | ! b ← opt_to_res … [MSG MissingSymbol; CTX ? id] (find_symbol ?? ge id); |
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354 | ! fd ← opt_to_res … [MSG BadFunction; CTX ? id] (find_funct_ptr ?? ge b); |
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355 | match fd with |
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356 | [ Internal fn ⇒ |
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357 | ! st ← save_ra st l; |
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358 | let st ≝ save_frame st in |
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359 | let locals ≝ init_locals (ertl_if_locals globals fn) in |
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360 | let l' ≝ ertl_if_entry globals fn in |
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361 | ret ? 〈 E0, goto l' (set_locals locals st)〉 |
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362 | | External fn ⇒ |
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363 | ! params ← fetch_external_args fn st; |
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364 | ! evargs ← check_eventval_list params (sig_args (ef_sig fn)); |
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365 | ! evres ← do_io (ef_id fn) evargs (proj_sig_res (ef_sig fn)); |
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366 | (* CSC: XXX bug here; I think I should split it into Byte-long |
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367 | components; instead I am making a singleton out of it *) |
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368 | let vs ≝ [mk_val ? evres] in |
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369 | ! st ← set_result vs st; |
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370 | ret ? 〈Eextcall (ef_id fn) evargs (mk_eventval ? evres), goto l st〉 |
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371 | ] |
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372 | *) |
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373 | | _ ⇒ ? |
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374 | ] |
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375 | (* CSC: changed, where the meat is *) |
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376 | | joint_st_return ⇒ |
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377 | ! st ← pop_frame st; |
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378 | ! 〈st,pch〉 ← pop st; |
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379 | ! 〈st,pcl〉 ← pop st; |
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380 | let pc ≝ address_of_address_chunks pcl pch in |
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381 | ret ? 〈E0,set_pc pc st〉 |
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382 | ]. |
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383 | ]. |
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384 | |
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385 | axiom WrongReturnValueType: String. |
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386 | |
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387 | definition is_final: list ident → label → nat → state → option ((*CSC: why not res*) int) ≝ |
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388 | λglobals: list ident. |
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389 | λexit. |
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390 | λregistersno. |
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391 | λst. |
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392 | (* CSC: monadic notation missing here *) |
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393 | match fetch_statement globals st with |
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394 | [ Error _ ⇒ None ? |
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395 | | OK s ⇒ |
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396 | match s with |
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397 | [ ertl_st_lift_pre pre ⇒ |
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398 | match pre with |
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399 | [ joint_st_return ⇒ |
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400 | match fetch_ra st with |
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401 | [ Error _ ⇒ None ? |
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402 | | OK st_l ⇒ |
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403 | let 〈st,l〉 ≝ st_l in |
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404 | match label_eq l exit with |
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405 | [ inl _ ⇒ |
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406 | (* CSC: monadic notation missing here *) |
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407 | match fetch_result st registersno with |
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408 | [ Error _ ⇒ None ? |
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409 | | OK vals ⇒ Some ? (smerge2 vals) |
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410 | ] |
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411 | | inr _ ⇒ None ? |
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412 | ] |
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413 | ] |
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414 | | _ ⇒ None ? |
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415 | ] |
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416 | | _ ⇒ None ? |
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417 | ] |
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418 | ]. |
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419 | |
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420 | definition ERTL_exec: list ident → label → nat → execstep io_out io_in ≝ |
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421 | λglobals. |
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422 | λexit. |
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423 | λregistersno. |
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424 | mk_execstep ? ? ? ? (is_final globals exit registersno) m (eval_statement globals). |
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425 | |
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426 | (* CSC: XXX the program type does not fit with the globalenv and init_mem |
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427 | definition make_initial_state : rtl_program → res (genv × state) ≝ |
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428 | λp. |
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429 | do ge ← globalenv Genv ?? p; |
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430 | do m ← init_mem Genv ?? p; |
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431 | let main ≝ rtl_pr_main ?? p in |
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432 | do b ← opt_to_res ? [MSG MissingSymbol; CTX ? main] (find_symbol ? ? ge main); |
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433 | do f ← opt_to_res ? [MSG BadFunction; CTX ? main] (find_funct_ptr ? ? ge b); |
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434 | OK ? 〈ge,Callstate f (nil ?) [ ] (nil ?) m〉. |
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435 | |
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436 | definition RTL_fullexec : fullexec io_out io_in ≝ |
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437 | mk_fullexec … (λ_.RTL_exec) ? make_initial_state. |
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438 | *) |
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439 | *) |
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