1 | include "RTLabs/syntax.ma". |
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2 | include "RTL/RTL.ma". |
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3 | include "common/AssocList.ma". |
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4 | include "common/Graphs.ma". |
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5 | include "common/Maps.ma". |
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6 | include "utilities/HMap.ma". |
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7 | |
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8 | definition add_graph ≝ |
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9 | λl: label. |
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10 | λstmt. |
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11 | λp. |
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12 | let rtl_if_luniverse' ≝ rtl_if_luniverse p in |
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13 | let rtl_if_runiverse' ≝ rtl_if_runiverse p in |
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14 | let rtl_if_sig' ≝ rtl_if_sig p in |
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15 | let rtl_if_result' ≝ rtl_if_result p in |
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16 | let rtl_if_params' ≝ rtl_if_params p in |
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17 | let rtl_if_locals' ≝ rtl_if_locals p in |
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18 | let rtl_if_stacksize' ≝ rtl_if_stacksize p in |
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19 | let rtl_if_graph' ≝ add ? ? (rtl_if_graph p) l stmt in |
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20 | let rtl_if_entry' ≝ rtl_if_entry p in |
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21 | let rtl_if_exit' ≝ rtl_if_exit p in |
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22 | mk_rtl_internal_function rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' |
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23 | rtl_if_params' rtl_if_params' rtl_if_locals' |
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24 | rtl_if_stacksize' rtl_if_graph' rtl_if_entry' |
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25 | rtl_if_exit'. |
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26 | |
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27 | definition fresh_label ≝ |
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28 | λdef. |
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29 | match fresh LabelTag (rtl_if_luniverse def) with |
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30 | [ OK lbl_univ ⇒ Some ? (\fst … lbl_univ) |
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31 | | Error _ ⇒ None ? |
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32 | ]. |
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33 | |
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34 | axiom register_fresh: universe RegisterTag → register. |
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35 | |
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36 | definition fresh_reg: rtl_internal_function → rtl_internal_function × register ≝ |
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37 | λdef. |
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38 | let r ≝ register_fresh (rtl_if_runiverse def) in |
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39 | let locals ≝ r :: rtl_if_locals def in |
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40 | let rtl_if_luniverse' ≝ rtl_if_luniverse def in |
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41 | let rtl_if_runiverse' ≝ rtl_if_runiverse def in |
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42 | let rtl_if_sig' ≝ rtl_if_sig def in |
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43 | let rtl_if_result' ≝ rtl_if_result def in |
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44 | let rtl_if_params' ≝ rtl_if_params def in |
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45 | let rtl_if_locals' ≝ locals in |
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46 | let rtl_if_stacksize' ≝ rtl_if_stacksize def in |
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47 | let rtl_if_graph' ≝ rtl_if_graph def in |
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48 | let rtl_if_entry' ≝ rtl_if_entry def in |
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49 | let rtl_if_exit' ≝ rtl_if_exit def in |
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50 | 〈mk_rtl_internal_function |
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51 | rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' rtl_if_result' |
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52 | rtl_if_params' rtl_if_locals' rtl_if_stacksize' rtl_if_graph' |
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53 | rtl_if_entry' rtl_if_exit', r〉. |
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54 | |
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55 | let rec fresh_regs (def: rtl_internal_function) (n: nat) on n ≝ |
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56 | match n with |
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57 | [ O ⇒ 〈def, [ ]〉 |
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58 | | S n ⇒ |
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59 | let 〈def, res〉 ≝ fresh_regs def n in |
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60 | let 〈def, r〉 ≝ fresh_reg def in |
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61 | 〈def, r :: res〉 |
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62 | ]. |
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63 | |
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64 | definition addr_regs ≝ |
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65 | λregs. |
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66 | match regs with |
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67 | [ cons hd tl ⇒ |
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68 | match tl with |
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69 | [ cons hd' tl' ⇒ Some (register × register) 〈hd, hd'〉 |
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70 | | nil ⇒ None (register × register) |
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71 | ] |
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72 | | nil ⇒ None (register × register) (* registers are not an address *) |
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73 | ]. |
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74 | |
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75 | let rec register_freshes (runiverse: universe RegisterTag) (n: nat) on n ≝ |
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76 | match n with |
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77 | [ O ⇒ [ ] |
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78 | | S n' ⇒ register_fresh runiverse :: (register_freshes runiverse n') |
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79 | ]. |
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80 | |
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81 | definition choose_rest ≝ |
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82 | λA: Type[0]. |
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83 | λleft, right: list A. |
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84 | match left with |
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85 | [ nil ⇒ |
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86 | match right with |
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87 | [ nil ⇒ None ? |
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88 | | _ ⇒ Some ? right |
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89 | ] |
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90 | | _ ⇒ Some ? left |
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91 | ]. |
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92 | |
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93 | definition complete_regs ≝ |
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94 | λdef. |
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95 | λsrcrs1. |
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96 | λsrcrs2. |
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97 | let nb_added ≝ abs ((length ? srcrs1) - (length ? srcrs2)) in |
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98 | let 〈def, added_regs〉 ≝ fresh_regs def nb_added in |
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99 | if gtb nb_added 0 then |
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100 | 〈〈srcrs1, srcrs2 @ added_regs〉, added_regs〉 |
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101 | else |
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102 | 〈〈srcrs1 @ added_regs, srcrs2〉, added_regs〉. |
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103 | |
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104 | definition float_free_p ≝ |
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105 | λsig. |
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106 | match sig with |
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107 | [ ASTfloat _ ⇒ False |
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108 | | _ ⇒ True |
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109 | ]. |
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110 | |
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111 | definition size_of_sig_type ≝ |
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112 | λsig. |
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113 | λprf: float_free_p sig. |
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114 | match sig return λx. float_free_p x → nat with |
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115 | [ ASTint isize sign ⇒ |
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116 | λast_int_prf. |
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117 | let isize' ≝ match isize with [ I8 ⇒ 8 | I16 ⇒ 16 | I32 ⇒ 32 ] in |
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118 | isize' ÷ (nat_of_bitvector ? int_size) |
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119 | | ASTfloat _ ⇒ |
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120 | λast_float_prf. ? |
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121 | | ASToffset ⇒ |
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122 | λast_offset_prf. |
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123 | nat_of_bitvector ? int_size |
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124 | | ASTptr rgn ⇒ |
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125 | λast_ptr_prf. |
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126 | nat_of_bitvector ? ptr_size |
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127 | ]. |
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128 | normalize in ast_float_prf; |
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129 | cases ast_float_prf; |
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130 | qed. |
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131 | |
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132 | inductive register_type: Type[0] ≝ |
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133 | | register_int: register → register_type |
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134 | | register_ptr: register → register → register_type. |
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135 | |
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136 | definition local_env ≝ BitVectorTrie (list register). |
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137 | |
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138 | definition mem_local_env ≝ |
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139 | λr: register. |
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140 | match r with |
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141 | [ an_identifier w ⇒ member (list register) 16 w |
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142 | ]. |
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143 | |
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144 | definition add_local_env ≝ |
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145 | λr: register. |
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146 | match r with |
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147 | [ an_identifier w ⇒ insert (list register) 16 w |
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148 | ]. |
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149 | |
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150 | definition find_local_env ≝ |
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151 | λr: register. |
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152 | λbvt. |
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153 | match r with |
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154 | [ an_identifier w ⇒ lookup (list register) 16 w bvt [ ] |
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155 | ]. |
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156 | |
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157 | definition initialize_local_env_internal ≝ |
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158 | λruniverse. |
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159 | λlenv. |
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160 | λr. |
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161 | λt. |
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162 | match size_of_sig_type t with |
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163 | [ None ⇒ None ? |
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164 | | Some size ⇒ |
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165 | let rs ≝ register_freshes runiverse size in |
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166 | Some ? (add_local_env r rs lenv) |
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167 | ]. |
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168 | |
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169 | definition initialize_local_env ≝ |
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170 | λruniverse. |
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171 | λptrs. |
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172 | λregisters. |
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173 | let registers ≝ registers @ |
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174 | match result with |
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175 | [ None ⇒ [ ] |
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176 | | Some rt ⇒ [ rt ] |
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177 | ] |
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178 | in |
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179 | foldl ? ? ( |
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180 | λbvt. λr. |
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181 | match bvt with |
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182 | [ None ⇒ None ? |
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183 | | Some bvt' ⇒ initialize_local_env_internal runiverse bvt' r typ |
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184 | ]) ? ?. |
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185 | |
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186 | let initialize_local_env runiverse registers result = |
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187 | let registers = |
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188 | registers @ (match result with None → [ ] | Some (r, t) → [(r, t)]) in |
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189 | let f lenv (r, t) = |
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190 | let rs = register_freshes runiverse (size_of_sig_type t) in |
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191 | add_local_env r rs lenv in |
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192 | List.fold_left f Register.Map.empty registers |
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193 | |
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194 | definition map_list_local_env_internal ≝ |
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195 | λlenv. |
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196 | λres. |
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197 | λr. |
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198 | res @ (find_local_env r lenv). |
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199 | |
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200 | definition map_list_local_env ≝ |
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201 | λlenv. |
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202 | λregs. |
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203 | |
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204 | |
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205 | let map_list_local_env lenv regs = |
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206 | let f res r = res @ (find_local_env r lenv) in |
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207 | List.fold_left f [] regs |
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208 | |
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209 | definition filter_and_to_list_local_env_internal ≝ |
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210 | λlenv. |
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211 | λl. |
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212 | λr. |
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213 | match assoc_list_lookup ? ? r (eq_identifier RegisterTag) lenv with |
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214 | [ Some entry ⇒ |
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215 | match entry with |
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216 | [ register_ptr r1 r2 ⇒ (l @ [ r1; r2 ]) |
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217 | | register_int r ⇒ (l @ [ r ]) |
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218 | ] |
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219 | | None ⇒ [ ] (* dpm: should this be none? *) |
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220 | ]. |
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221 | |
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222 | definition filter_and_to_list_local_env ≝ |
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223 | λlenv. |
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224 | λregisters. |
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225 | foldl ? ? (filter_and_to_list_local_env_internal lenv) [ ] registers. |
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226 | |
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227 | definition list_of_register_type ≝ |
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228 | λrt. |
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229 | match rt with |
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230 | [ register_ptr r1 r2 ⇒ [ r1; r2 ] |
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231 | | register_int r ⇒ [ r ] |
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232 | ]. |
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233 | |
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234 | definition find_and_list ≝ |
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235 | λr. |
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236 | λlenv. |
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237 | match assoc_list_lookup ? ? r (eq_identifier RegisterTag) lenv with |
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238 | [ None ⇒ [ ] (* dpm: should this be none? *) |
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239 | | Some lkup ⇒ list_of_register_type lkup |
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240 | ]. |
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241 | |
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242 | definition find_and_list_args ≝ |
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243 | λargs. |
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244 | λlenv. |
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245 | map ? ? (λr. find_and_list r lenv) args. |
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246 | |
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247 | definition find_and_addr ≝ |
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248 | λr. |
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249 | λlenv. |
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250 | match find_and_list r lenv with |
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251 | [ cons hd tl ⇒ |
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252 | match tl with |
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253 | [ cons hd' tl' ⇒ Some ? 〈hd, hd'〉 |
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254 | | nil ⇒ None ? |
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255 | ] |
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256 | | nil ⇒ None ? (* dpm: was assert false *) |
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257 | ]. |
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258 | |
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259 | definition rtl_args ≝ |
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260 | λregs_list. |
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261 | λlenv. |
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262 | flatten ? (find_and_list_args regs_list lenv). |
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263 | |
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264 | definition change_label ≝ |
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265 | λlbl. |
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266 | λstmt: rtl_statement. |
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267 | match stmt with |
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268 | [ rtl_st_skip _ ⇒ rtl_st_skip lbl |
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269 | | rtl_st_cost cost_lbl _ ⇒ rtl_st_cost cost_lbl lbl |
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270 | | rtl_st_addr r1 r2 id _ ⇒ rtl_st_addr r1 r2 id lbl |
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271 | | rtl_st_stack_addr r1 r2 _ ⇒ rtl_st_stack_addr r1 r2 lbl |
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272 | | rtl_st_int r i _ ⇒ rtl_st_int r i lbl |
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273 | | rtl_st_move r1 r2 _ ⇒ rtl_st_move r1 r2 lbl |
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274 | | rtl_st_opaccs opaccs d s1 s2 _ ⇒ rtl_st_opaccs opaccs d s1 s2 lbl |
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275 | | rtl_st_op1 op1 d s _ ⇒ rtl_st_op1 op1 d s lbl |
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276 | | rtl_st_op2 op2 d s1 s2 _ ⇒ rtl_st_op2 op2 d s1 s2 lbl |
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277 | | rtl_st_clear_carry _ ⇒ rtl_st_clear_carry lbl |
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278 | | rtl_st_load d a1 a2 _ ⇒ rtl_st_load d a1 a2 lbl |
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279 | | rtl_st_store a1 a2 s _ ⇒ rtl_st_store a1 a2 s lbl |
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280 | | rtl_st_call_id f a r _ ⇒ rtl_st_call_id f a r lbl |
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281 | | rtl_st_call_ptr f1 f2 a r _ ⇒ rtl_st_call_ptr f1 f2 a r lbl |
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282 | | rtl_st_tailcall_id f a ⇒ rtl_st_tailcall_id f a |
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283 | | rtl_st_tailcall_ptr f1 f2 a ⇒ rtl_st_tailcall_ptr f1 f2 a |
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284 | | rtl_st_cond_acc r l1 l2 ⇒ rtl_st_cond_acc r l1 l2 |
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285 | | rtl_st_return r ⇒ rtl_st_return r |
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286 | | _ ⇒ ? |
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287 | ]. |
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288 | |
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289 | let rec adds_graph (stmt_list: ?) (start_lbl: label) (dest_lbl: label) (def: rtl_internal_function) ≝ |
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290 | match stmt_list with |
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291 | [ nil ⇒ Some ? def |
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292 | | cons hd tl ⇒ |
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293 | match tl with |
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294 | [ nil ⇒ Some ? (add_graph start_lbl (change_label dest_lbl hd) def) |
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295 | | cons hd' tl' ⇒ |
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296 | let tmp_lbl ≝ fresh_label def in |
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297 | match tmp_lbl with |
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298 | [ None ⇒ None ? |
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299 | | Some tmp_lbl ⇒ |
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300 | let stmt ≝ change_label tmp_lbl hd in |
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301 | let def ≝ add_graph start_lbl stmt def in |
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302 | adds_graph tl tmp_lbl dest_lbl def |
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303 | ] |
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304 | ] |
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305 | ]. |
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306 | |
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307 | (* dpm: had to lift this into option *) |
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308 | let rec add_translates (translate_list: ?) (start_lbl: label) (dest_lbl: label) |
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309 | (def: ?) on translate_list ≝ |
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310 | match translate_list with |
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311 | [ nil ⇒ Some ? def |
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312 | | cons hd tl ⇒ |
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313 | match tl with |
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314 | [ nil ⇒ hd start_lbl dest_lbl def |
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315 | | cons hd' tl' ⇒ |
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316 | let tmp_lbl ≝ fresh_label def in |
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317 | match tmp_lbl with |
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318 | [ None ⇒ None ? |
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319 | | Some tmp_lbl ⇒ |
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320 | match hd start_lbl tmp_lbl def with |
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321 | [ None ⇒ None ? |
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322 | | Some def ⇒ add_translates tl tmp_lbl dest_lbl def |
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323 | ] |
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324 | ] |
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325 | ] |
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326 | ]. |
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327 | |
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328 | |
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329 | (* dpm: horrendous, use dependent types. |
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330 | length destr = length srcrs *) |
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331 | let rec translate_move (destrs: ?) (srcrs: ?) (start_lbl: label) |
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332 | (dest_lbl: label) (def: ?) ≝ |
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333 | match destrs with |
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334 | [ nil ⇒ |
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335 | match srcrs with |
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336 | [ nil ⇒ Some ? def |
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337 | | cons hd tl ⇒ None ? |
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338 | ] |
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339 | | cons hd tl ⇒ |
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340 | match srcrs with |
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341 | [ nil ⇒ None ? |
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342 | | cons hd' tl' ⇒ |
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343 | match tl with |
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344 | [ nil ⇒ |
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345 | match tl' with |
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346 | (* one element lists *) |
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347 | [ nil ⇒ Some ? (add_graph start_lbl (rtl_st_move hd hd' dest_lbl) def) |
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348 | | cons hd'' tl'' ⇒ None ? |
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349 | ] |
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350 | | cons hd'' tl'' ⇒ |
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351 | match tl' with |
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352 | [ nil ⇒ None ? |
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353 | (* multielement lists *) |
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354 | | cons hd''' tl''' ⇒ |
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355 | let tmp_lbl ≝ fresh_label def in |
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356 | match tmp_lbl with |
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357 | [ None ⇒ None ? |
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358 | | Some tmp_lbl ⇒ |
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359 | let def ≝ add_graph start_lbl (rtl_st_move hd hd' tmp_lbl) def in |
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360 | translate_move tl tl' tmp_lbl dest_lbl def |
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361 | ] |
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362 | ] |
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363 | ] |
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364 | ] |
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365 | ]. |
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366 | |
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367 | definition translate_cst ≝ |
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368 | λcst. |
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369 | λdestrs. |
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370 | λstart_lbl. |
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371 | λdest_lbl. |
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372 | λdef. |
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373 | match cst with |
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374 | [ cast_int i ⇒ |
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375 | match destrs with |
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376 | [ nil ⇒ add_graph start_lbl (rtl_st_skip dest_lbl) def |
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377 | | cons hd tl ⇒ |
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378 | match tl with |
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379 | [ nil ⇒ Some ? (add_graph start_lbl (rtl_st_int hd i dest_lbl) def) |
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380 | | cons hd' tl' ⇒ None ? |
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381 | ] |
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382 | ] |
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383 | | cast_addrsymbol id ⇒ |
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384 | match destrs with |
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385 | [ nil ⇒ None ? |
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386 | | cons hd tl ⇒ |
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387 | match tl with |
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388 | [ nil ⇒ None ? |
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389 | | cons hd' tl' ⇒ |
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390 | Some ? (add_graph start_lbl (rtl_st_addr hd hd' id dest_lbl) def) |
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391 | ] |
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392 | ] |
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393 | | cast_offset off ⇒ |
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394 | match destrs with |
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395 | [ nil ⇒ None ? |
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396 | | cons hd tl ⇒ |
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397 | match tl with |
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398 | [ nil ⇒ None ? |
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399 | | cons hd' tl' ⇒ |
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400 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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401 | adds_graph [ |
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402 | rtl_st_stack_addr hd hd' start_lbl; |
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403 | rtl_st_int tmpr off start_lbl; |
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404 | rtl_st_op2 Add hd hd tmpr start_lbl; |
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405 | rtl_st_int tmpr (bitvector_of_nat ? 0) start_lbl; |
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406 | rtl_st_op2 Addc hd' hd' tmpr start_lbl |
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407 | ] start_lbl dest_lbl def |
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408 | ] |
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409 | ] |
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410 | | cast_stack ⇒ ? |
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411 | | cast_sizeof size ⇒ ? |
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412 | (* | cast_float f ⇒ None ? *) (* what are we doing with floats? *) |
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413 | ]. |
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414 | |
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415 | definition extract_singleton ≝ |
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416 | λA: Type[0]. |
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417 | λl: list A. |
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418 | match l with |
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419 | [ nil ⇒ None ? |
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420 | | cons hd tl ⇒ |
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421 | match tl with |
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422 | [ nil ⇒ Some ? hd |
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423 | | cons hd tl ⇒ None ? |
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424 | ] |
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425 | ]. |
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426 | |
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427 | definition extract_pair ≝ |
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428 | λA: Type[0]. |
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429 | λl: list A. |
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430 | match l with |
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431 | [ nil ⇒ None ? |
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432 | | cons hd tl ⇒ |
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433 | match tl with |
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434 | [ nil ⇒ None ? |
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435 | | cons hd' tl' ⇒ |
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436 | match tl' with |
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437 | [ nil ⇒ Some ? 〈hd, hd'〉 |
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438 | | cons hd'' tl'' ⇒ None ? |
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439 | ] |
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440 | ] |
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441 | ]. |
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442 | |
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443 | definition translate_op1 ≝ |
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444 | λop1. |
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445 | λdestrs. |
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446 | λsrcrs. |
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447 | λstart_lbl. |
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448 | λdest_lbl. |
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449 | λdef. |
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450 | match op1 with |
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451 | [ op_cast8_unsigned ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
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452 | | op_cast8_signed ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
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453 | | op_cast16_unsigned ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
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454 | | op_cast16_signed ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
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455 | | op_neg_int ⇒ |
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456 | let dstr ≝ extract_singleton ? destrs in |
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457 | let srcr ≝ extract_singleton ? srcrs in |
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458 | match dstr with |
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459 | [ None ⇒ None ? |
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460 | | Some dstr ⇒ |
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461 | match srcr with |
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462 | [ None ⇒ None ? |
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463 | | Some srcr ⇒ |
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464 | adds_graph [ |
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465 | rtl_st_op1 Cmpl dstr srcr start_lbl; |
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466 | rtl_st_op1 Inc dstr dstr start_lbl |
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467 | ] start_lbl dest_lbl def |
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468 | ] |
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469 | ] |
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470 | | op_not_int ⇒ |
---|
471 | let dstr ≝ extract_singleton ? destrs in |
---|
472 | let srcr ≝ extract_singleton ? srcrs in |
---|
473 | match dstr with |
---|
474 | [ None ⇒ None ? |
---|
475 | | Some dstr ⇒ |
---|
476 | match srcr with |
---|
477 | [ None ⇒ None ? |
---|
478 | | Some srcr ⇒ |
---|
479 | adds_graph [ |
---|
480 | rtl_st_op1 Cmpl dstr srcr start_lbl |
---|
481 | ] start_lbl dest_lbl def |
---|
482 | ] |
---|
483 | ] |
---|
484 | | op_id ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
485 | | op_ptr_of_int ⇒ |
---|
486 | let destr12 ≝ extract_pair ? destrs in |
---|
487 | let srcr ≝ extract_singleton ? srcrs in |
---|
488 | match destr12 with |
---|
489 | [ None ⇒ None ? |
---|
490 | | Some destr12 ⇒ |
---|
491 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
492 | match srcr with |
---|
493 | [ None ⇒ None ? |
---|
494 | | Some srcr ⇒ |
---|
495 | adds_graph [ |
---|
496 | rtl_st_move destr1 srcr dest_lbl; |
---|
497 | rtl_st_int destr2 (bitvector_of_nat ? 0) start_lbl |
---|
498 | ] start_lbl dest_lbl def |
---|
499 | ] |
---|
500 | ] |
---|
501 | | op_int_of_ptr ⇒ |
---|
502 | let destr ≝ extract_singleton ? destrs in |
---|
503 | match destr with |
---|
504 | [ None ⇒ None ? |
---|
505 | | Some destr ⇒ |
---|
506 | match srcrs with |
---|
507 | [ nil ⇒ None ? |
---|
508 | | cons srcr tl ⇒ |
---|
509 | Some ? (add_graph start_lbl (rtl_st_move destr srcr dest_lbl) def) |
---|
510 | ] |
---|
511 | ] |
---|
512 | | op_not_bool ⇒ |
---|
513 | let destr ≝ extract_singleton ? destrs in |
---|
514 | let srcrs ≝ extract_singleton ? srcrs in |
---|
515 | match destr with |
---|
516 | [ None ⇒ None ? |
---|
517 | | Some destr ⇒ |
---|
518 | match srcrs with |
---|
519 | [ None ⇒ None ? |
---|
520 | | Some srcr ⇒ |
---|
521 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
522 | adds_graph [ |
---|
523 | rtl_st_int tmpr (bitvector_of_nat ? 0) start_lbl; |
---|
524 | rtl_st_clear_carry start_lbl; |
---|
525 | rtl_st_op2 Sub destr tmpr srcr start_lbl; |
---|
526 | rtl_st_int destr (bitvector_of_nat ? 0) dest_lbl; |
---|
527 | rtl_st_op2 Addc destr destr destr start_lbl; |
---|
528 | rtl_st_int tmpr (bitvector_of_nat ? 1) dest_lbl; |
---|
529 | rtl_st_op2 Xor destr destr tmpr start_lbl |
---|
530 | ] start_lbl dest_lbl def |
---|
531 | ] |
---|
532 | ] |
---|
533 | | _ ⇒ None ? (* error float *) |
---|
534 | ]. |
---|
535 | |
---|
536 | definition translate_condptr ≝ |
---|
537 | λr1. |
---|
538 | λr2. |
---|
539 | λstart_lbl: label. |
---|
540 | λlbl_true: label. |
---|
541 | λlbl_false: label. |
---|
542 | λdef. |
---|
543 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
544 | adds_graph [ |
---|
545 | rtl_st_op2 Or tmpr r1 r2 start_lbl; |
---|
546 | rtl_st_cond_acc tmpr lbl_true lbl_false |
---|
547 | ] start_lbl start_lbl def. |
---|
548 | |
---|
549 | (* |
---|
550 | let rec translate_op2 (op2: ?) (destrs: ?) (srcrs1: ?) (srcrs2: ?) |
---|
551 | (start_lbl: label) (dest_lbl: label) (def: ?) on op2 ≝ |
---|
552 | match op2 with |
---|
553 | [ op_add ⇒ |
---|
554 | let destr ≝ extract_singleton ? destrs in |
---|
555 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
556 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
557 | match destr with |
---|
558 | [ None ⇒ None ? |
---|
559 | | Some destr ⇒ |
---|
560 | match srcr1 with |
---|
561 | [ None ⇒ None ? |
---|
562 | | Some srcr1 ⇒ |
---|
563 | match srcr2 with |
---|
564 | [ None ⇒ None ? |
---|
565 | | Some srcr2 ⇒ |
---|
566 | adds_graph [ |
---|
567 | rtl_st_op2 Add destr srcr1 srcr2 start_lbl |
---|
568 | ] start_lbl dest_lbl def |
---|
569 | ] |
---|
570 | ] |
---|
571 | ] |
---|
572 | | op_sub ⇒ |
---|
573 | let destr ≝ extract_singleton ? destrs in |
---|
574 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
575 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
576 | match destr with |
---|
577 | [ None ⇒ None ? |
---|
578 | | Some destr ⇒ |
---|
579 | match srcr1 with |
---|
580 | [ None ⇒ None ? |
---|
581 | | Some srcr1 ⇒ |
---|
582 | match srcr2 with |
---|
583 | [ None ⇒ None ? |
---|
584 | | Some srcr2 ⇒ |
---|
585 | adds_graph [ |
---|
586 | rtl_st_clear_carry start_lbl; |
---|
587 | rtl_st_op2 Sub destr srcr1 srcr2 start_lbl |
---|
588 | ] start_lbl dest_lbl def |
---|
589 | ] |
---|
590 | ] |
---|
591 | ] |
---|
592 | | op_mul ⇒ |
---|
593 | let destr ≝ extract_singleton ? destrs in |
---|
594 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
595 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
596 | match destr with |
---|
597 | [ None ⇒ None ? |
---|
598 | | Some destr ⇒ |
---|
599 | match srcr1 with |
---|
600 | [ None ⇒ None ? |
---|
601 | | Some srcr1 ⇒ |
---|
602 | match srcr2 with |
---|
603 | [ None ⇒ None ? |
---|
604 | | Some srcr2 ⇒ |
---|
605 | adds_graph [ |
---|
606 | rtl_st_opaccs Mul destr srcr1 srcr2 start_lbl |
---|
607 | ] start_lbl dest_lbl def |
---|
608 | ] |
---|
609 | ] |
---|
610 | ] |
---|
611 | | op_div ⇒ None ? (* signed div not supported *) |
---|
612 | | op_divu ⇒ |
---|
613 | let destr ≝ extract_singleton ? destrs in |
---|
614 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
615 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
616 | match destr with |
---|
617 | [ None ⇒ None ? |
---|
618 | | Some destr ⇒ |
---|
619 | match srcr1 with |
---|
620 | [ None ⇒ None ? |
---|
621 | | Some srcr1 ⇒ |
---|
622 | match srcr2 with |
---|
623 | [ None ⇒ None ? |
---|
624 | | Some srcr2 ⇒ |
---|
625 | adds_graph [ |
---|
626 | rtl_st_opaccs Divu destr srcr1 srcr2 start_lbl |
---|
627 | ] start_lbl dest_lbl def |
---|
628 | ] |
---|
629 | ] |
---|
630 | ] |
---|
631 | | op_modu ⇒ |
---|
632 | let destr ≝ extract_singleton ? destrs in |
---|
633 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
634 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
635 | match destr with |
---|
636 | [ None ⇒ None ? |
---|
637 | | Some destr ⇒ |
---|
638 | match srcr1 with |
---|
639 | [ None ⇒ None ? |
---|
640 | | Some srcr1 ⇒ |
---|
641 | match srcr2 with |
---|
642 | [ None ⇒ None ? |
---|
643 | | Some srcr2 ⇒ |
---|
644 | adds_graph [ |
---|
645 | rtl_st_opaccs Modu destr srcr1 srcr2 start_lbl |
---|
646 | ] start_lbl dest_lbl def |
---|
647 | ] |
---|
648 | ] |
---|
649 | ] |
---|
650 | | op_mod ⇒ None ? (* signed mod not supported *) |
---|
651 | | op_and ⇒ |
---|
652 | let destr ≝ extract_singleton ? destrs in |
---|
653 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
654 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
655 | match destr with |
---|
656 | [ None ⇒ None ? |
---|
657 | | Some destr ⇒ |
---|
658 | match srcr1 with |
---|
659 | [ None ⇒ None ? |
---|
660 | | Some srcr1 ⇒ |
---|
661 | match srcr2 with |
---|
662 | [ None ⇒ None ? |
---|
663 | | Some srcr2 ⇒ |
---|
664 | adds_graph [ |
---|
665 | rtl_st_op2 And destr srcr1 srcr2 start_lbl |
---|
666 | ] start_lbl dest_lbl def |
---|
667 | ] |
---|
668 | ] |
---|
669 | ] |
---|
670 | | op_or ⇒ |
---|
671 | let destr ≝ extract_singleton ? destrs in |
---|
672 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
673 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
674 | match destr with |
---|
675 | [ None ⇒ None ? |
---|
676 | | Some destr ⇒ |
---|
677 | match srcr1 with |
---|
678 | [ None ⇒ None ? |
---|
679 | | Some srcr1 ⇒ |
---|
680 | match srcr2 with |
---|
681 | [ None ⇒ None ? |
---|
682 | | Some srcr2 ⇒ |
---|
683 | adds_graph [ |
---|
684 | rtl_st_op2 Or destr srcr1 srcr2 start_lbl |
---|
685 | ] start_lbl dest_lbl def |
---|
686 | ] |
---|
687 | ] |
---|
688 | ] |
---|
689 | | op_xor ⇒ |
---|
690 | let destr ≝ extract_singleton ? destrs in |
---|
691 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
692 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
693 | match destr with |
---|
694 | [ None ⇒ None ? |
---|
695 | | Some destr ⇒ |
---|
696 | match srcr1 with |
---|
697 | [ None ⇒ None ? |
---|
698 | | Some srcr1 ⇒ |
---|
699 | match srcr2 with |
---|
700 | [ None ⇒ None ? |
---|
701 | | Some srcr2 ⇒ |
---|
702 | adds_graph [ |
---|
703 | rtl_st_op2 Xor destr srcr1 srcr2 start_lbl |
---|
704 | ] start_lbl dest_lbl def |
---|
705 | ] |
---|
706 | ] |
---|
707 | ] |
---|
708 | | op_shru ⇒ None ? (* shifts not supported *) |
---|
709 | | op_shr ⇒ None ? |
---|
710 | | op_shl ⇒ None ? |
---|
711 | | op_addf ⇒ None ? (* floats not supported *) |
---|
712 | | op_subf ⇒ None ? |
---|
713 | | op_mulf ⇒ None ? |
---|
714 | | op_divf ⇒ None ? |
---|
715 | | op_cmpf _ ⇒ None ? |
---|
716 | | op_addp ⇒ |
---|
717 | let destr12 ≝ extract_pair ? destrs in |
---|
718 | match destr12 with |
---|
719 | [ None ⇒ None ? |
---|
720 | | Some destr12 ⇒ |
---|
721 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
722 | let srcr12 ≝ extract_pair ? srcrs1 in |
---|
723 | match srcr12 with |
---|
724 | [ None ⇒ |
---|
725 | let srcr2 ≝ extract_singleton ? srcrs1 in |
---|
726 | match srcr2 with |
---|
727 | [ None ⇒ None ? |
---|
728 | | Some srcr2 ⇒ |
---|
729 | let srcr12 ≝ extract_pair ? srcrs2 in |
---|
730 | match srcr12 with |
---|
731 | [ None ⇒ None ? |
---|
732 | | Some srcr12 ⇒ |
---|
733 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
734 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
735 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
736 | adds_graph [ |
---|
737 | rtl_st_op2 Add tmpr1 srcr11 srcr2 start_lbl; |
---|
738 | rtl_st_int tmpr2 (bitvector_of_nat ? 0) start_lbl; |
---|
739 | rtl_st_op2 Addc destr2 tmpr2 srcr12 start_lbl; |
---|
740 | rtl_st_move destr1 tmpr1 start_lbl |
---|
741 | ] start_lbl dest_lbl def |
---|
742 | ] |
---|
743 | ] |
---|
744 | | Some srcr12 ⇒ |
---|
745 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
746 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
747 | match srcr2 with |
---|
748 | [ None ⇒ None ? |
---|
749 | | Some srcr2 ⇒ |
---|
750 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
751 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
752 | adds_graph [ |
---|
753 | rtl_st_op2 Add tmpr1 srcr11 srcr2 start_lbl; |
---|
754 | rtl_st_int tmpr2 (bitvector_of_nat ? 0) start_lbl; |
---|
755 | rtl_st_op2 Addc destr2 tmpr2 srcr12 start_lbl; |
---|
756 | rtl_st_move destr1 tmpr1 start_lbl |
---|
757 | ] start_lbl dest_lbl def |
---|
758 | ] |
---|
759 | ] |
---|
760 | ] |
---|
761 | | op_subp ⇒ |
---|
762 | let destr ≝ extract_singleton ? destrs in |
---|
763 | match destr with |
---|
764 | [ None ⇒ |
---|
765 | let destr12 ≝ extract_pair ? destrs in |
---|
766 | match destr12 with |
---|
767 | [ None ⇒ None ? |
---|
768 | | Some destr12 ⇒ |
---|
769 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
770 | let srcr12 ≝ extract_pair ? srcrs1 in |
---|
771 | match srcr12 with |
---|
772 | [ None ⇒ None ? |
---|
773 | | Some srcr12 ⇒ |
---|
774 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
775 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
776 | match srcr2 with |
---|
777 | [ None ⇒ None ? |
---|
778 | | Some srcr2 ⇒ |
---|
779 | adds_graph [ |
---|
780 | rtl_st_clear_carry start_lbl; |
---|
781 | rtl_st_op2 Sub destr1 srcr11 srcr2 start_lbl; |
---|
782 | rtl_st_int destr2 (bitvector_of_nat ? 0) start_lbl; |
---|
783 | rtl_st_op2 Sub destr2 srcr12 destr2 start_lbl |
---|
784 | ] start_lbl dest_lbl def |
---|
785 | ] |
---|
786 | ] |
---|
787 | ] |
---|
788 | | Some destr ⇒ |
---|
789 | match srcrs1 with |
---|
790 | [ nil ⇒ None ? |
---|
791 | | cons srcr1 tl ⇒ |
---|
792 | match srcrs2 with |
---|
793 | [ nil ⇒ None ? |
---|
794 | | cons srcr2 tl' ⇒ |
---|
795 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
796 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
797 | adds_graph [ |
---|
798 | rtl_st_op1 Cmpl tmpr1 srcr2 start_lbl; |
---|
799 | rtl_st_int tmpr2 (bitvector_of_nat ? 1) start_lbl; |
---|
800 | rtl_st_op2 Add tmpr1 tmpr1 tmpr2 start_lbl; |
---|
801 | rtl_st_op2 Add destr srcr1 tmpr1 start_lbl |
---|
802 | ] start_lbl dest_lbl def |
---|
803 | ] |
---|
804 | ] |
---|
805 | ] |
---|
806 | | op_cmp cmp ⇒ |
---|
807 | match cmp with |
---|
808 | [ Compare_Equal ⇒ |
---|
809 | add_translates [ |
---|
810 | translate_op2 op_sub destrs srcrs1 srcrs2; |
---|
811 | translate_op1 op_not_bool destrs destrs |
---|
812 | ] start_lbl dest_lbl def |
---|
813 | | Compare_NotEqual ⇒ |
---|
814 | translate_op2 op_sub destrs srcrs1 srcrs2 start_lbl dest_lbl def |
---|
815 | | _ ⇒ None ? |
---|
816 | ] |
---|
817 | | op_cmpu cmp ⇒ |
---|
818 | match cmp with |
---|
819 | [ Compare_Equal ⇒ |
---|
820 | add_translates [ |
---|
821 | translate_op2 op_sub destrs srcrs1 srcrs2; |
---|
822 | translate_op1 op_not_bool destrs destrs |
---|
823 | ] start_lbl dest_lbl def |
---|
824 | | Compare_NotEqual ⇒ |
---|
825 | translate_op2 op_sub destrs srcrs1 srcrs2 start_lbl dest_lbl def |
---|
826 | | Compare |
---|
827 | | _ ⇒ None ? |
---|
828 | ] |
---|
829 | | _ ⇒ ? |
---|
830 | ]. |
---|
831 | |
---|
832 | | AST.Op_cmpu AST.Cmp_lt, [destr], [srcr1], [srcr2] -> |
---|
833 | let (def, tmpr) = fresh_reg def in |
---|
834 | adds_graph |
---|
835 | [RTL.St_clear_carry start_lbl ; |
---|
836 | RTL.St_op2 (I8051.Sub, destr, srcr1, srcr2, start_lbl) ; |
---|
837 | RTL.St_int (destr, 0, start_lbl) ; |
---|
838 | RTL.St_op2 (I8051.Addc, destr, destr, destr, start_lbl)] |
---|
839 | start_lbl dest_lbl def |
---|
840 | |
---|
841 | | AST.Op_cmpu AST.Cmp_gt, _, _, _ -> |
---|
842 | translate_op2 (AST.Op_cmpu AST.Cmp_lt) |
---|
843 | destrs srcrs2 srcrs1 start_lbl dest_lbl def |
---|
844 | |
---|
845 | | AST.Op_cmpu AST.Cmp_le, _, _, _ -> |
---|
846 | add_translates |
---|
847 | [translate_op2 (AST.Op_cmpu AST.Cmp_gt) destrs srcrs1 srcrs2 ; |
---|
848 | translate_op1 AST.Op_notbool destrs destrs] |
---|
849 | start_lbl dest_lbl def |
---|
850 | |
---|
851 | | AST.Op_cmpu AST.Cmp_ge, _, _, _ -> |
---|
852 | add_translates |
---|
853 | [translate_op2 (AST.Op_cmpu AST.Cmp_lt) destrs srcrs1 srcrs2 ; |
---|
854 | translate_op1 AST.Op_notbool destrs destrs] |
---|
855 | start_lbl dest_lbl def |
---|
856 | |
---|
857 | | AST.Op_cmp cmp, _, _, _ -> |
---|
858 | let (def, tmprs1) = fresh_regs def (List.length srcrs1) in |
---|
859 | let (def, tmprs2) = fresh_regs def (List.length srcrs2) in |
---|
860 | add_translates |
---|
861 | [translate_cst (AST.Cst_int 128) tmprs1 ; |
---|
862 | translate_cst (AST.Cst_int 128) tmprs2 ; |
---|
863 | translate_op2 AST.Op_add tmprs1 srcrs1 tmprs1 ; |
---|
864 | translate_op2 AST.Op_add tmprs2 srcrs2 tmprs2 ; |
---|
865 | translate_op2 (AST.Op_cmpu cmp) destrs tmprs1 tmprs2] |
---|
866 | start_lbl dest_lbl def |
---|
867 | |
---|
868 | | AST.Op_cmpp AST.Cmp_eq, [destr], [srcr11 ; srcr12], [srcr21 ; srcr22] -> |
---|
869 | let (def, tmpr) = fresh_reg def in |
---|
870 | add_translates |
---|
871 | [translate_op2 (AST.Op_cmpu AST.Cmp_ne) [tmpr] [srcr11] [srcr21] ; |
---|
872 | translate_op2 (AST.Op_cmpu AST.Cmp_ne) [destr] [srcr21] [srcr22] ; |
---|
873 | translate_op2 AST.Op_or [destr] [destr] [tmpr] ; |
---|
874 | adds_graph [RTL.St_int (tmpr, 1, start_lbl)] ; |
---|
875 | translate_op2 AST.Op_xor [destr] [destr] [tmpr]] |
---|
876 | start_lbl dest_lbl def |
---|
877 | |
---|
878 | | AST.Op_cmpp AST.Cmp_lt, [destr], [srcr11 ; srcr12], [srcr21 ; srcr22] -> |
---|
879 | let (def, tmpr1) = fresh_reg def in |
---|
880 | let (def, tmpr2) = fresh_reg def in |
---|
881 | add_translates |
---|
882 | [translate_op2 (AST.Op_cmpu AST.Cmp_lt) [tmpr1] [srcr12] [srcr22] ; |
---|
883 | translate_op2 (AST.Op_cmpu AST.Cmp_eq) [tmpr2] [srcr12] [srcr22] ; |
---|
884 | translate_op2 (AST.Op_cmpu AST.Cmp_lt) [destr] [srcr11] [srcr21] ; |
---|
885 | translate_op2 AST.Op_and [tmpr2] [tmpr2] [destr] ; |
---|
886 | translate_op2 AST.Op_or [destr] [tmpr1] [tmpr2]] |
---|
887 | start_lbl dest_lbl def |
---|
888 | |
---|
889 | | AST.Op_cmpp AST.Cmp_gt, _, _, _ -> |
---|
890 | translate_op2 (AST.Op_cmpp AST.Cmp_lt) |
---|
891 | destrs srcrs2 srcrs1 start_lbl dest_lbl def |
---|
892 | |
---|
893 | | AST.Op_cmpp AST.Cmp_le, _, _, _ -> |
---|
894 | add_translates |
---|
895 | [translate_op2 (AST.Op_cmpp AST.Cmp_gt) destrs srcrs1 srcrs2 ; |
---|
896 | translate_op1 AST.Op_notbool destrs destrs] |
---|
897 | start_lbl dest_lbl def |
---|
898 | |
---|
899 | | AST.Op_cmpp AST.Cmp_ge, _, _, _ -> |
---|
900 | add_translates |
---|
901 | [translate_op2 (AST.Op_cmpp AST.Cmp_lt) destrs srcrs1 srcrs2 ; |
---|
902 | translate_op1 AST.Op_notbool destrs destrs] |
---|
903 | start_lbl dest_lbl def |
---|
904 | |
---|
905 | | _ -> assert false (* wrong number of arguments *) |
---|
906 | *) |
---|
907 | |
---|
908 | definition translate_condcst ≝ |
---|
909 | λcst. |
---|
910 | λstart_lbl: label. |
---|
911 | λlbl_true: label. |
---|
912 | λlbl_false: label. |
---|
913 | λdef. |
---|
914 | match cst with |
---|
915 | [ cast_int i ⇒ |
---|
916 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
917 | adds_graph [ |
---|
918 | rtl_st_int tmpr i start_lbl; |
---|
919 | rtl_st_cond_acc tmpr lbl_true lbl_false |
---|
920 | ] start_lbl start_lbl def |
---|
921 | | cast_addr_symbol x ⇒ |
---|
922 | let 〈def, r1〉 ≝ fresh_reg def in |
---|
923 | let 〈def, r2〉 ≝ fresh_reg def in |
---|
924 | let lbl ≝ fresh_label def in |
---|
925 | match lbl with |
---|
926 | [ None ⇒ None ? |
---|
927 | | Some lbl ⇒ |
---|
928 | let def ≝ add_graph start_lbl (rtl_st_addr r1 r2 x lbl) def in |
---|
929 | translate_condptr r1 r2 lbl lbl_true lbl_false def |
---|
930 | ] |
---|
931 | | cast_stack_offset off ⇒ |
---|
932 | let 〈def, r1〉 ≝ fresh_reg def in |
---|
933 | let 〈def, r2〉 ≝ fresh_reg def in |
---|
934 | let tmp_lbl ≝ fresh_label def in |
---|
935 | match tmp_lbl with |
---|
936 | [ None ⇒ None ? |
---|
937 | | Some tmp_lbl ⇒ |
---|
938 | let def ≝ translate_cst (cast_stack_offset off) [r1; r2] start_lbl tmp_lbl def in |
---|
939 | match def with |
---|
940 | [ None ⇒ None ? |
---|
941 | | Some def ⇒ translate_condptr r1 r2 tmp_lbl lbl_true lbl_false def |
---|
942 | ] |
---|
943 | ] |
---|
944 | | cast_float f ⇒ None ? (* error_float *) |
---|
945 | ]. |
---|
946 | |
---|
947 | definition size_of_op1_ret ≝ |
---|
948 | λop. |
---|
949 | match op with |
---|
950 | [ op_cast8_unsigned ⇒ Some ? 1 |
---|
951 | | op_cast8_signed ⇒ Some ? 1 |
---|
952 | | op_cast16_unsigned ⇒ Some ? 1 |
---|
953 | | op_cast16_signed ⇒ Some ? 1 |
---|
954 | | op_neg_int ⇒ Some ? 1 |
---|
955 | | op_not_int ⇒ Some ? 1 |
---|
956 | | op_int_of_ptr ⇒ Some ? 1 |
---|
957 | | op_ptr_of_int ⇒ Some ? 2 |
---|
958 | | op_id ⇒ None ? (* invalid_argument *) |
---|
959 | | _ ⇒ None ? (* error_float *) |
---|
960 | ]. |
---|
961 | |
---|
962 | definition translate_cond1 ≝ |
---|
963 | λop1. |
---|
964 | λsrcrs: list register. |
---|
965 | λstart_lbl: label. |
---|
966 | λlbl_true: label. |
---|
967 | λlbl_false: label. |
---|
968 | λdef. |
---|
969 | match op1 with |
---|
970 | [ op_id ⇒ |
---|
971 | let srcr ≝ extract_singleton ? srcrs in |
---|
972 | match srcr with |
---|
973 | [ None ⇒ |
---|
974 | let srcr12 ≝ extract_pair ? srcrs in |
---|
975 | match srcr12 with |
---|
976 | [ None ⇒ None ? |
---|
977 | | Some srcr12 ⇒ |
---|
978 | let 〈srcr1, srcr2〉 ≝ srcr12 in |
---|
979 | translate_condptr srcr1 srcr2 start_lbl lbl_true lbl_false def |
---|
980 | ] |
---|
981 | | Some srcr ⇒ |
---|
982 | adds_graph [ |
---|
983 | rtl_st_cond_acc srcr lbl_true lbl_false |
---|
984 | ] start_lbl start_lbl def |
---|
985 | ] |
---|
986 | | _ ⇒ |
---|
987 | let size ≝ size_of_op1_ret op1 in |
---|
988 | match size with |
---|
989 | [ None ⇒ None ? |
---|
990 | | Some size ⇒ |
---|
991 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
992 | let lbl ≝ fresh_label def in |
---|
993 | match lbl with |
---|
994 | [ None ⇒ None ? |
---|
995 | | Some lbl ⇒ |
---|
996 | let def ≝ translate_op1 op1 destrs srcrs start_lbl lbl def in |
---|
997 | match def with |
---|
998 | [ None ⇒ None ? |
---|
999 | | Some def ⇒ |
---|
1000 | let destr ≝ extract_singleton ? destrs in |
---|
1001 | match destr with |
---|
1002 | [ None ⇒ |
---|
1003 | let destr12 ≝ extract_pair ? destrs in |
---|
1004 | match destr12 with |
---|
1005 | [ None ⇒ None ? |
---|
1006 | | Some destr12 ⇒ |
---|
1007 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1008 | translate_condptr destr1 destr2 start_lbl lbl_true lbl_false def |
---|
1009 | ] |
---|
1010 | | Some destr ⇒ |
---|
1011 | adds_graph [ |
---|
1012 | rtl_st_cond_acc destr lbl_true lbl_false |
---|
1013 | ] start_lbl start_lbl def |
---|
1014 | ] |
---|
1015 | ] |
---|
1016 | ] |
---|
1017 | ] |
---|
1018 | ]. |
---|
1019 | |
---|
1020 | definition size_of_op2_ret ≝ |
---|
1021 | λn: nat. |
---|
1022 | λop2. |
---|
1023 | match op2 with |
---|
1024 | [ op_add ⇒ Some ? 1 |
---|
1025 | | op_sub ⇒ Some ? 1 |
---|
1026 | | op_mul ⇒ Some ? 1 |
---|
1027 | | op_div ⇒ Some ? 1 |
---|
1028 | | op_divu ⇒ Some ? 1 |
---|
1029 | | op_mod ⇒ Some ? 1 |
---|
1030 | | op_modu ⇒ Some ? 1 |
---|
1031 | | op_and ⇒ Some ? 1 |
---|
1032 | | op_or ⇒ Some ? 1 |
---|
1033 | | op_xor ⇒ Some ? 1 |
---|
1034 | | op_shl ⇒ Some ? 1 |
---|
1035 | | op_shr ⇒ Some ? 1 |
---|
1036 | | op_shru ⇒ Some ? 1 |
---|
1037 | | op_cmp _ ⇒ Some ? 1 |
---|
1038 | | op_cmpu _ ⇒ Some ? 1 |
---|
1039 | | op_cmpp _ ⇒ Some ? 1 |
---|
1040 | | op_addp ⇒ Some ? 2 |
---|
1041 | | op_subp ⇒ |
---|
1042 | if eq_nat n 4 then |
---|
1043 | Some ? 1 |
---|
1044 | else |
---|
1045 | Some ? 2 |
---|
1046 | | _ ⇒ None ? (* error_float *) |
---|
1047 | ]. |
---|
1048 | |
---|
1049 | axiom translate_op2: |
---|
1050 | op2 → list register → list register → list register → label → label → rtl_internal_function → option rtl_internal_function. |
---|
1051 | |
---|
1052 | definition translate_cond2 ≝ |
---|
1053 | λop2. |
---|
1054 | λsrcrs1: list register. |
---|
1055 | λsrcrs2: list register. |
---|
1056 | λstart_lbl: label. |
---|
1057 | λlbl_true: label. |
---|
1058 | λlbl_false: label. |
---|
1059 | λdef. |
---|
1060 | match op2 with |
---|
1061 | [ op_cmp cmp ⇒ |
---|
1062 | match cmp with |
---|
1063 | [ Compare_Equal ⇒ |
---|
1064 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
1065 | match srcr1 with |
---|
1066 | [ None ⇒ None ? |
---|
1067 | | Some srcr1 ⇒ |
---|
1068 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
1069 | match srcr2 with |
---|
1070 | [ None ⇒ None ? |
---|
1071 | | Some srcr2 ⇒ |
---|
1072 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1073 | adds_graph [ |
---|
1074 | rtl_st_clear_carry start_lbl; |
---|
1075 | rtl_st_op2 Sub tmpr srcr1 srcr2 start_lbl; |
---|
1076 | rtl_st_cond_acc tmpr lbl_false lbl_true |
---|
1077 | ] start_lbl start_lbl def |
---|
1078 | ] |
---|
1079 | ] |
---|
1080 | | _ ⇒ |
---|
1081 | let n ≝ length ? srcrs1 + length ? srcrs2 in |
---|
1082 | match size_of_op2_ret n op2 with |
---|
1083 | [ None ⇒ None ? |
---|
1084 | | Some size ⇒ |
---|
1085 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1086 | let lbl ≝ fresh_label def in |
---|
1087 | match lbl with |
---|
1088 | [ None ⇒ None ? |
---|
1089 | | Some lbl ⇒ |
---|
1090 | match translate_op2 op2 destrs srcrs1 srcrs2 start_lbl lbl def with |
---|
1091 | [ None ⇒ None ? |
---|
1092 | | Some def ⇒ translate_cond1 op_id destrs lbl lbl_true lbl_false def |
---|
1093 | ] |
---|
1094 | ] |
---|
1095 | ] |
---|
1096 | ] |
---|
1097 | | _ ⇒ |
---|
1098 | let n ≝ length ? srcrs1 + length ? srcrs2 in |
---|
1099 | match size_of_op2_ret n op2 with |
---|
1100 | [ None ⇒ None ? |
---|
1101 | | Some size ⇒ |
---|
1102 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1103 | let lbl ≝ fresh_label def in |
---|
1104 | match lbl with |
---|
1105 | [ None ⇒ None ? |
---|
1106 | | Some lbl ⇒ |
---|
1107 | match translate_op2 op2 destrs srcrs1 srcrs2 start_lbl lbl def with |
---|
1108 | [ None ⇒ None ? |
---|
1109 | | Some def ⇒ translate_cond1 op_id destrs lbl lbl_true lbl_false def |
---|
1110 | ] |
---|
1111 | ] |
---|
1112 | ] |
---|
1113 | ]. |
---|
1114 | |
---|
1115 | let rec addressing_pointer (mode: ?) (args: ?) (destr1: ?) |
---|
1116 | (destr2: ?) (start_lbl: label) |
---|
1117 | (dest_lbl: label) (def: rtl_internal_function) ≝ |
---|
1118 | let destrs ≝ [ destr1; destr2 ] in |
---|
1119 | match mode with |
---|
1120 | [ Aindexed off ⇒ |
---|
1121 | let srcr12 ≝ extract_singleton ? args in |
---|
1122 | match srcr12 with |
---|
1123 | [ None ⇒ None ? |
---|
1124 | | Some srcr12 ⇒ |
---|
1125 | let srcr12 ≝ extract_pair ? srcr12 in |
---|
1126 | match srcr12 with |
---|
1127 | [ None ⇒ None ? |
---|
1128 | | Some srcr12 ⇒ |
---|
1129 | let 〈srcr1, srcr2〉 ≝ srcr12 in |
---|
1130 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1131 | add_translates [ |
---|
1132 | adds_graph [ |
---|
1133 | rtl_st_int tmpr off start_lbl |
---|
1134 | ]; |
---|
1135 | translate_op2 op_addp destrs [ srcr1 ; srcr2 ] [tmpr] |
---|
1136 | ] start_lbl dest_lbl def |
---|
1137 | ] |
---|
1138 | ] |
---|
1139 | | Aindexed2 ⇒ |
---|
1140 | let args_pair ≝ extract_pair ? args in |
---|
1141 | match args_pair with |
---|
1142 | [ None ⇒ None ? |
---|
1143 | | Some args_pair ⇒ |
---|
1144 | let 〈lft, rgt〉 ≝ args_pair in |
---|
1145 | let srcr1112 ≝ extract_pair ? lft in |
---|
1146 | let srcr2 ≝ extract_singleton ? rgt in |
---|
1147 | match srcr1112 with |
---|
1148 | [ None ⇒ |
---|
1149 | let srcr2 ≝ extract_singleton ? rgt in |
---|
1150 | let srcr1112 ≝ extract_pair ? lft in |
---|
1151 | match srcr2 with |
---|
1152 | [ None ⇒ None ? |
---|
1153 | | Some srcr2 ⇒ |
---|
1154 | match srcr1112 with |
---|
1155 | [ None ⇒ None ? |
---|
1156 | | Some srcr1112 ⇒ |
---|
1157 | let 〈srcr11, srcr12〉 ≝ srcr1112 in |
---|
1158 | translate_op2 op_addp destrs [ srcr11; srcr12 ] [ srcr2 ] start_lbl dest_lbl def |
---|
1159 | ] |
---|
1160 | ] |
---|
1161 | | Some srcr1112 ⇒ |
---|
1162 | let 〈srcr11, srcr12〉 ≝ srcr1112 in |
---|
1163 | match srcr2 with |
---|
1164 | [ None ⇒ None ? |
---|
1165 | | Some srcr2 ⇒ |
---|
1166 | translate_op2 op_addp destrs [ srcr11; srcr12 ] [ srcr2 ] start_lbl dest_lbl def |
---|
1167 | ] |
---|
1168 | ] |
---|
1169 | ] |
---|
1170 | | Aglobal x off ⇒ |
---|
1171 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1172 | add_translates [ |
---|
1173 | adds_graph [ |
---|
1174 | rtl_st_int tmpr off start_lbl; |
---|
1175 | rtl_st_addr destr1 destr2 x start_lbl |
---|
1176 | ]; |
---|
1177 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1178 | ] start_lbl dest_lbl def |
---|
1179 | | Abased x off ⇒ |
---|
1180 | let srcrs ≝ extract_singleton ? args in |
---|
1181 | match srcrs with |
---|
1182 | [ None ⇒ None ? |
---|
1183 | | Some srcrs ⇒ |
---|
1184 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
1185 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
1186 | (* mode, args, destr1, destr2, start_lbl, dest_lbl, def *) |
---|
1187 | (* addressing_pointer (Aglobal x off) [ ] tmpr1 tmpr2; *) |
---|
1188 | let address_unfold ≝ |
---|
1189 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1190 | add_translates [ |
---|
1191 | adds_graph [ |
---|
1192 | rtl_st_int tmpr off start_lbl; |
---|
1193 | rtl_st_addr tmpr1 tmpr2 x start_lbl |
---|
1194 | ]; |
---|
1195 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1196 | ] |
---|
1197 | in |
---|
1198 | add_translates [ |
---|
1199 | address_unfold; |
---|
1200 | translate_op2 op_addp destrs [ tmpr1; tmpr2 ] srcrs |
---|
1201 | ] start_lbl dest_lbl def |
---|
1202 | ] |
---|
1203 | | Ainstack off ⇒ |
---|
1204 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1205 | add_translates [ |
---|
1206 | adds_graph [ |
---|
1207 | rtl_st_int tmpr off start_lbl; |
---|
1208 | rtl_st_stack_addr destr1 destr2 start_lbl |
---|
1209 | ]; |
---|
1210 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1211 | ] start_lbl dest_lbl def |
---|
1212 | | _ ⇒ None ? (* wrong number of arguments *) |
---|
1213 | ]. |
---|
1214 | |
---|
1215 | definition translate_load ≝ |
---|
1216 | λq. |
---|
1217 | λmode. |
---|
1218 | λargs. |
---|
1219 | λdestrs. |
---|
1220 | λstart_lbl: label. |
---|
1221 | λdest_lbl: label. |
---|
1222 | λdef. |
---|
1223 | match q with |
---|
1224 | [ q_int b ⇒ |
---|
1225 | if eq_bv ? b (bitvector_of_nat ? 1) then |
---|
1226 | match extract_singleton ? destrs with |
---|
1227 | [ None ⇒ None ? (* error: size error in load *) |
---|
1228 | | Some destr ⇒ |
---|
1229 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
1230 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
1231 | Some ? (add_translates [ |
---|
1232 | addressing_pointer mode args addr1 addr2; |
---|
1233 | adds_graph [ |
---|
1234 | rtl_st_load destr addr1 addr2 start_lbl |
---|
1235 | ] |
---|
1236 | ] start_lbl dest_lbl def) |
---|
1237 | ] |
---|
1238 | else |
---|
1239 | None ? (* error: size error in load *) |
---|
1240 | | q_ptr ⇒ |
---|
1241 | match extract_pair ? destrs with |
---|
1242 | [ None ⇒ None ? (* error: size error in load *) |
---|
1243 | | Some destr12 ⇒ |
---|
1244 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1245 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
1246 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
1247 | let addr ≝ [ addr1; addr2 ] in |
---|
1248 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1249 | Some ? ( |
---|
1250 | add_translates [ |
---|
1251 | addressing_pointer mode args addr1 addr2; |
---|
1252 | adds_graph [ |
---|
1253 | rtl_st_load destr1 addr1 addr2 start_lbl; |
---|
1254 | rtl_st_int tmpr (bitvector_of_nat ? 1) start_lbl |
---|
1255 | ]; |
---|
1256 | translate_op2 op_addp addr addr [ tmpr ]; |
---|
1257 | adds_graph [ |
---|
1258 | rtl_st_load destr2 addr1 addr2 start_lbl |
---|
1259 | ] |
---|
1260 | ] start_lbl dest_lbl def |
---|
1261 | ) |
---|
1262 | ] |
---|
1263 | | _ ⇒ None ? (* error: size error in load *) |
---|
1264 | ]. |
---|
1265 | |
---|
1266 | definition make_addr ≝ |
---|
1267 | λA: Type[0]. |
---|
1268 | λlst: list A. |
---|
1269 | match lst with |
---|
1270 | [ cons hd tl ⇒ |
---|
1271 | match tl with |
---|
1272 | [ cons hd' tl' ⇒ Some ? 〈hd, hd'〉 |
---|
1273 | | _ ⇒ None ? (* do not use on these arguments *) |
---|
1274 | ] |
---|
1275 | | _ ⇒ None ? (* do not use on these arguments *) |
---|
1276 | ]. |
---|
1277 | |
---|
1278 | definition translate_store_internal ≝ |
---|
1279 | λaddr. |
---|
1280 | λtmp_addr. |
---|
1281 | λtmpr. |
---|
1282 | λstart_lbl. |
---|
1283 | λdest_lbl. |
---|
1284 | λtmp_addr1. |
---|
1285 | λtmp_addr2. |
---|
1286 | λtranslates_off. |
---|
1287 | λsrcr. |
---|
1288 | let 〈translates, off〉 ≝ translates_off in |
---|
1289 | let translates ≝ translates @ |
---|
1290 | [ adds_graph [ |
---|
1291 | rtl_st_int tmpr off start_lbl |
---|
1292 | ]; |
---|
1293 | translate_op2 op_addp tmp_addr addr [ tmpr ]; |
---|
1294 | adds_graph [ |
---|
1295 | rtl_st_store tmp_addr1 tmp_addr2 srcr dest_lbl |
---|
1296 | ] |
---|
1297 | ] |
---|
1298 | in |
---|
1299 | let 〈ignore, result〉 ≝ half_add ? off int_size in |
---|
1300 | 〈translates, result〉. |
---|
1301 | |
---|
1302 | definition translate_store ≝ |
---|
1303 | λaddr. |
---|
1304 | λsrcrs. |
---|
1305 | λstart_lbl. |
---|
1306 | λdest_lbl. |
---|
1307 | λdef. |
---|
1308 | let 〈def, tmp_addr〉 ≝ fresh_regs def (length ? addr) in |
---|
1309 | match make_addr ? tmp_addr with |
---|
1310 | [ None ⇒ None ? |
---|
1311 | | Some tmp_addr12 ⇒ |
---|
1312 | let 〈tmp_addr1, tmp_addr2〉 ≝ tmp_addr12 in |
---|
1313 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1314 | let f ≝ translate_store_internal addr tmp_addr tmpr start_lbl dest_lbl tmp_addr1 tmp_addr2 in |
---|
1315 | let 〈translates, ignore〉 ≝ foldl ? ? f 〈[], zero ?〉 srcrs in |
---|
1316 | add_translates translates start_lbl dest_lbl def |
---|
1317 | ]. |
---|
1318 | |
---|
1319 | definition translate_stmt ≝ |
---|
1320 | λlenv. |
---|
1321 | λlbl. |
---|
1322 | λstmt. |
---|
1323 | λdef. |
---|
1324 | match stmt with |
---|
1325 | [ St_skip lbl' ⇒ add_graph lbl (rtl_st_skip lbl') def |
---|
1326 | | St_cost cost_lbl lbl' ⇒ add_graph lbl (rtl_st_cost cost_lbl lbl') def |
---|
1327 | | St_cast destr cst lbl' ⇒ |
---|
1328 | translate_cst cst (find_local_env destr lenv) lbl lbl' def |
---|
1329 | | _ ⇒ ? |
---|
1330 | ]. |
---|
1331 | |
---|
1332 | let translate_stmt lenv lbl stmt def = match stmt with |
---|
1333 | |
---|
1334 | | RTLabs.St_skip lbl' -> |
---|
1335 | add_graph lbl (RTL.St_skip lbl') def |
---|
1336 | |
---|
1337 | | RTLabs.St_cost (cost_lbl, lbl') -> |
---|
1338 | add_graph lbl (RTL.St_cost (cost_lbl, lbl')) def |
---|
1339 | |
---|
1340 | | RTLabs.St_cst (destr, cst, lbl') -> |
---|
1341 | translate_cst cst (find_local_env destr lenv) lbl lbl' def |
---|
1342 | |
---|
1343 | | RTLabs.St_op1 (op1, destr, srcr, lbl') -> |
---|
1344 | translate_op1 op1 (find_local_env destr lenv) (find_local_env srcr lenv) |
---|
1345 | lbl lbl' def |
---|
1346 | |
---|
1347 | | RTLabs.St_op2 (op2, destr, srcr1, srcr2, lbl') -> |
---|
1348 | translate_op2 op2 (find_local_env destr lenv) |
---|
1349 | (find_local_env srcr1 lenv) (find_local_env srcr2 lenv) lbl lbl' def |
---|
1350 | |
---|
1351 | | RTLabs.St_load (_, addr, destr, lbl') -> |
---|
1352 | translate_load (find_local_env addr lenv) (find_local_env destr lenv) |
---|
1353 | lbl lbl' def |
---|
1354 | |
---|
1355 | | RTLabs.St_store (_, addr, srcr, lbl') -> |
---|
1356 | translate_store (find_local_env addr lenv) (find_local_env srcr lenv) |
---|
1357 | lbl lbl' def |
---|
1358 | |
---|
1359 | | RTLabs.St_call_id (f, args, None, _, lbl') -> |
---|
1360 | add_graph lbl (RTL.St_call_id (f, rtl_args args lenv, [], lbl')) def |
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1361 | |
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1362 | | RTLabs.St_call_id (f, args, Some retr, _, lbl') -> |
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1363 | add_graph lbl (RTL.St_call_id (f, rtl_args args lenv, |
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1364 | find_local_env retr lenv, lbl')) def |
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1365 | |
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1366 | | RTLabs.St_call_ptr (f, args, None, _, lbl') -> |
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1367 | let (f1, f2) = find_and_addr f lenv in |
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1368 | add_graph lbl (RTL.St_call_ptr (f1, f2, rtl_args args lenv, [], lbl')) def |
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1369 | |
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1370 | | RTLabs.St_call_ptr (f, args, Some retr, _, lbl') -> |
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1371 | let (f1, f2) = find_and_addr f lenv in |
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1372 | add_graph lbl |
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1373 | (RTL.St_call_ptr |
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1374 | (f1, f2, rtl_args args lenv, find_local_env retr lenv, lbl')) def |
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1375 | |
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1376 | | RTLabs.St_tailcall_id (f, args, _) -> |
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1377 | add_graph lbl (RTL.St_tailcall_id (f, rtl_args args lenv)) def |
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1378 | |
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1379 | | RTLabs.St_tailcall_ptr (f, args, _) -> |
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1380 | let (f1, f2) = find_and_addr f lenv in |
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1381 | add_graph lbl (RTL.St_tailcall_ptr (f1, f2, rtl_args args lenv)) def |
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1382 | |
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1383 | | RTLabs.St_cond (r, lbl_true, lbl_false) -> |
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1384 | translate_cond (find_local_env r lenv) lbl lbl_true lbl_false def |
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1385 | |
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1386 | | RTLabs.St_jumptable _ -> |
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1387 | error "Jump tables not supported yet." |
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1388 | |
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1389 | | RTLabs.St_return None -> |
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1390 | add_graph lbl (RTL.St_return []) def |
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1391 | |
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1392 | | RTLabs.St_return (Some r) -> |
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1393 | add_graph lbl (RTL.St_return (find_local_env r lenv)) def |
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