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/FrontEndOps.ma". |
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6 | |
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7 | definition add_graph ≝ |
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8 | λl: label. |
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9 | λstmt. |
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10 | λp. |
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11 | let rtl_if_luniverse' ≝ rtl_if_luniverse p in |
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12 | let rtl_if_runiverse' ≝ rtl_if_runiverse p in |
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13 | let rtl_if_sig' ≝ rtl_if_sig p in |
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14 | let rtl_if_result' ≝ rtl_if_result p in |
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15 | let rtl_if_params' ≝ rtl_if_params p in |
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16 | let rtl_if_locals' ≝ rtl_if_locals p in |
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17 | let rtl_if_stacksize' ≝ rtl_if_stacksize p in |
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18 | let rtl_if_graph' ≝ add ? ? (rtl_if_graph p) l stmt in |
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19 | let rtl_if_entry' ≝ rtl_if_entry p in |
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20 | let rtl_if_exit' ≝ rtl_if_exit p in |
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21 | mk_rtl_internal_function rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' |
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22 | rtl_if_params' rtl_if_params' rtl_if_locals' |
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23 | rtl_if_stacksize' rtl_if_graph' rtl_if_entry' |
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24 | rtl_if_exit'. |
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25 | |
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26 | definition fresh_label: rtl_internal_function → rtl_internal_function × label ≝ |
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27 | λdef. |
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28 | let 〈lbl, new_univ〉 ≝ fresh LabelTag (rtl_if_luniverse def) in |
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29 | let locals ≝ rtl_if_locals def in |
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30 | let rtl_if_luniverse' ≝ new_univ in |
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31 | let rtl_if_runiverse' ≝ rtl_if_runiverse def in |
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32 | let rtl_if_sig' ≝ rtl_if_sig def in |
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33 | let rtl_if_result' ≝ rtl_if_result def in |
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34 | let rtl_if_params' ≝ rtl_if_params def in |
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35 | let rtl_if_locals' ≝ rtl_if_locals def in |
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36 | let rtl_if_stacksize' ≝ rtl_if_stacksize def in |
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37 | let rtl_if_graph' ≝ rtl_if_graph def in |
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38 | let rtl_if_entry' ≝ rtl_if_entry def in |
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39 | let rtl_if_exit' ≝ rtl_if_exit def in |
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40 | 〈mk_rtl_internal_function |
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41 | rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' rtl_if_result' |
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42 | rtl_if_params' rtl_if_locals' rtl_if_stacksize' rtl_if_graph' |
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43 | rtl_if_entry' rtl_if_exit', lbl〉. |
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44 | |
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45 | axiom register_fresh: universe RegisterTag → register. |
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46 | |
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47 | definition fresh_reg: rtl_internal_function → rtl_internal_function × register ≝ |
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48 | λdef. |
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49 | let r ≝ register_fresh (rtl_if_runiverse def) in |
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50 | let locals ≝ r :: rtl_if_locals def in |
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51 | let rtl_if_luniverse' ≝ rtl_if_luniverse def in |
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52 | let rtl_if_runiverse' ≝ rtl_if_runiverse def in |
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53 | let rtl_if_sig' ≝ rtl_if_sig def in |
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54 | let rtl_if_result' ≝ rtl_if_result def in |
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55 | let rtl_if_params' ≝ rtl_if_params def in |
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56 | let rtl_if_locals' ≝ locals in |
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57 | let rtl_if_stacksize' ≝ rtl_if_stacksize def in |
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58 | let rtl_if_graph' ≝ rtl_if_graph def in |
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59 | let rtl_if_entry' ≝ rtl_if_entry def in |
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60 | let rtl_if_exit' ≝ rtl_if_exit def in |
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61 | 〈mk_rtl_internal_function |
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62 | rtl_if_luniverse' rtl_if_runiverse' rtl_if_sig' rtl_if_result' |
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63 | rtl_if_params' rtl_if_locals' rtl_if_stacksize' rtl_if_graph' |
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64 | rtl_if_entry' rtl_if_exit', r〉. |
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65 | |
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66 | let rec fresh_regs (def: rtl_internal_function) (n: nat) on n ≝ |
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67 | match n with |
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68 | [ O ⇒ 〈def, [ ]〉 |
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69 | | S n ⇒ |
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70 | let 〈def, res〉 ≝ fresh_regs def n in |
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71 | let 〈def, r〉 ≝ fresh_reg def in |
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72 | 〈def, r :: res〉 |
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73 | ]. |
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74 | |
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75 | axiom fresh_regs_length: |
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76 | ∀def: rtl_internal_function. |
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77 | ∀n: nat. |
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78 | |(\snd (fresh_regs def n))| = n. |
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79 | |
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80 | definition addr_regs ≝ |
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81 | λregs. |
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82 | match regs with |
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83 | [ cons hd tl ⇒ |
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84 | match tl with |
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85 | [ cons hd' tl' ⇒ Some (register × register) 〈hd, hd'〉 |
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86 | | nil ⇒ None (register × register) |
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87 | ] |
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88 | | nil ⇒ None (register × register) (* registers are not an address *) |
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89 | ]. |
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90 | |
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91 | let rec register_freshes (runiverse: universe RegisterTag) (n: nat) on n ≝ |
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92 | match n with |
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93 | [ O ⇒ [ ] |
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94 | | S n' ⇒ register_fresh runiverse :: (register_freshes runiverse n') |
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95 | ]. |
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96 | |
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97 | definition choose_rest ≝ |
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98 | λA: Type[0]. |
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99 | λleft, right: list A. |
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100 | λprfl: 0 < |left|. |
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101 | λprfr: 0 < |right|. |
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102 | match left return λx. 0 < |x| → list A with |
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103 | [ nil ⇒ λnil_prf. |
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104 | match right return λx. 0 < |x| → list A with |
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105 | [ nil ⇒ λnil_nil_absrd. ? |
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106 | | _ ⇒ λnil_cons_prf. right |
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107 | ] prfr |
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108 | | _ ⇒ λcons_prf. right |
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109 | ] prfl. |
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110 | normalize in nil_prf; |
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111 | cases(not_le_Sn_O 0) |
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112 | #HYP |
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113 | cases(HYP nil_prf) |
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114 | qed. |
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115 | |
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116 | definition complete_regs ≝ |
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117 | λdef. |
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118 | λsrcrs1. |
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119 | λsrcrs2. |
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120 | let nb_added ≝ abs ((length ? srcrs1) - (length ? srcrs2)) in |
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121 | let 〈def, added_regs〉 ≝ fresh_regs def nb_added in |
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122 | if gtb nb_added 0 then |
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123 | 〈〈srcrs1, srcrs2 @ added_regs〉, added_regs〉 |
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124 | else |
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125 | 〈〈srcrs1 @ added_regs, srcrs2〉, added_regs〉. |
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126 | |
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127 | definition size_of_sig_type ≝ |
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128 | λsig. |
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129 | match sig with |
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130 | [ ASTint isize sign ⇒ |
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131 | let isize' ≝ match isize with [ I8 ⇒ 8 | I16 ⇒ 16 | I32 ⇒ 32 ] in |
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132 | isize' ÷ (nat_of_bitvector ? int_size) |
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133 | | ASTfloat _ ⇒ ? (* dpm: not implemented *) |
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134 | | ASTptr rgn ⇒ nat_of_bitvector ? ptr_size |
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135 | ]. |
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136 | cases not_implemented; |
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137 | qed. |
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138 | |
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139 | inductive register_type: Type[0] ≝ |
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140 | | register_int: register → register_type |
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141 | | register_ptr: register → register → register_type. |
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142 | |
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143 | definition local_env ≝ BitVectorTrie (list register). |
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144 | |
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145 | definition mem_local_env ≝ |
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146 | λr: register. |
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147 | match r with |
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148 | [ an_identifier w ⇒ member (list register) 16 w |
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149 | ]. |
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150 | |
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151 | definition add_local_env ≝ |
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152 | λr: register. |
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153 | match r with |
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154 | [ an_identifier w ⇒ insert (list register) 16 w |
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155 | ]. |
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156 | |
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157 | definition find_local_env ≝ |
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158 | λr: register. |
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159 | λbvt. |
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160 | match r with |
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161 | [ an_identifier w ⇒ lookup (list register) 16 w bvt [ ] |
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162 | ]. |
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163 | |
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164 | definition initialize_local_env_internal ≝ |
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165 | λruniverse. |
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166 | λlenv. |
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167 | λr_sig. |
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168 | let 〈r, sig〉 ≝ r_sig in |
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169 | let size ≝ size_of_sig_type sig in |
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170 | let rs ≝ register_freshes runiverse size in |
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171 | add_local_env r rs lenv. |
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172 | |
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173 | definition initialize_local_env ≝ |
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174 | λruniverse. |
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175 | λregisters. |
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176 | λresult. |
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177 | let registers ≝ registers @ |
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178 | match result with |
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179 | [ None ⇒ [ ] |
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180 | | Some rt ⇒ [ rt ] |
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181 | ] |
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182 | in |
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183 | foldl ? ? (initialize_local_env_internal runiverse) (Stub …) registers. |
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184 | |
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185 | definition map_list_local_env_internal ≝ |
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186 | λlenv. |
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187 | λres. |
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188 | λr. |
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189 | res @ (find_local_env r lenv). |
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190 | |
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191 | definition map_list_local_env ≝ |
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192 | λlenv. |
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193 | λregs. |
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194 | foldl ? ? (map_list_local_env_internal lenv) [ ] regs. |
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195 | |
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196 | definition make_addr ≝ |
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197 | λA. |
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198 | λlst: list A. |
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199 | λprf: length A lst = 2. (* do not use on arguments other than those of length 2 *) |
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200 | match lst return λx. length A x = 2 → A × A with |
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201 | [ nil ⇒ λlst_nil_prf. ? |
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202 | | cons hd tl ⇒ λprf. |
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203 | match tl return λx. length A x = 1 → A × A with |
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204 | [ nil ⇒ λtl_nil_prf. ? |
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205 | | cons hd' tl' ⇒ λtl_cons_prf. 〈hd, hd'〉 |
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206 | ] ? |
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207 | ] prf. |
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208 | [1: normalize in lst_nil_prf; |
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209 | destruct(lst_nil_prf); |
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210 | |2: normalize in prf; |
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211 | destruct(prf) |
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212 | @e0 |
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213 | |3: normalize in tl_nil_prf; |
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214 | destruct(tl_nil_prf); |
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215 | ] |
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216 | qed. |
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217 | |
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218 | definition find_and_addr ≝ |
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219 | λr. |
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220 | λlenv. |
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221 | make_addr ? (find_local_env r lenv). |
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222 | |
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223 | definition rtl_args ≝ |
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224 | λregs_list. |
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225 | λlenv. |
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226 | flatten ? (map ? ? ( |
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227 | λr. find_local_env r lenv) regs_list). |
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228 | |
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229 | definition change_label ≝ |
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230 | λlbl. |
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231 | λstmt: rtl_statement. |
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232 | match stmt with |
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233 | [ rtl_st_skip _ ⇒ rtl_st_skip lbl |
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234 | | rtl_st_cost cost_lbl _ ⇒ rtl_st_cost cost_lbl lbl |
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235 | | rtl_st_addr r1 r2 id _ ⇒ rtl_st_addr r1 r2 id lbl |
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236 | | rtl_st_stack_addr r1 r2 _ ⇒ rtl_st_stack_addr r1 r2 lbl |
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237 | | rtl_st_int r i _ ⇒ rtl_st_int r i lbl |
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238 | | rtl_st_move r1 r2 _ ⇒ rtl_st_move r1 r2 lbl |
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239 | | rtl_st_opaccs opaccs d s1 s2 s3 _ ⇒ rtl_st_opaccs opaccs d s1 s2 s3 lbl |
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240 | | rtl_st_op1 op1 d s _ ⇒ rtl_st_op1 op1 d s lbl |
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241 | | rtl_st_op2 op2 d s1 s2 _ ⇒ rtl_st_op2 op2 d s1 s2 lbl |
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242 | | rtl_st_clear_carry _ ⇒ rtl_st_clear_carry lbl |
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243 | | rtl_st_load d a1 a2 _ ⇒ rtl_st_load d a1 a2 lbl |
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244 | | rtl_st_store a1 a2 s _ ⇒ rtl_st_store a1 a2 s lbl |
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245 | | rtl_st_call_id f a r _ ⇒ rtl_st_call_id f a r lbl |
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246 | | rtl_st_call_ptr f1 f2 a r _ ⇒ rtl_st_call_ptr f1 f2 a r lbl |
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247 | | rtl_st_tailcall_id f a ⇒ rtl_st_tailcall_id f a |
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248 | | rtl_st_tailcall_ptr f1 f2 a ⇒ rtl_st_tailcall_ptr f1 f2 a |
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249 | | rtl_st_cond_acc r l1 l2 ⇒ rtl_st_cond_acc r l1 l2 |
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250 | | rtl_st_clear_carry l ⇒ rtl_st_clear_carry lbl |
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251 | | rtl_st_set_carry l ⇒ rtl_st_set_carry lbl |
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252 | | rtl_st_return r ⇒ rtl_st_return r |
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253 | ]. |
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254 | |
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255 | (* Ack! Should generating a fresh label ever fail? This seems to be a side-effect |
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256 | of implementing everything as a bitvector, which is bounded. If we implemented |
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257 | labels as unbounded nats then this function will never fail. |
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258 | *) |
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259 | (* Fixed with changes to label generation. |
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260 | *) |
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261 | let rec adds_graph (stmt_list: ?) (start_lbl: label) (dest_lbl: label) (def: rtl_internal_function) ≝ |
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262 | match stmt_list with |
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263 | [ nil ⇒ def |
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264 | | cons hd tl ⇒ |
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265 | match tl with |
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266 | [ nil ⇒ add_graph start_lbl (change_label dest_lbl hd) def |
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267 | | cons hd' tl' ⇒ |
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268 | let 〈new_def, tmp_lbl〉 ≝ fresh_label def in |
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269 | let stmt ≝ change_label tmp_lbl hd in |
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270 | let def ≝ add_graph start_lbl stmt new_def in |
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271 | adds_graph tl tmp_lbl dest_lbl new_def |
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272 | ] |
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273 | ]. |
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274 | |
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275 | let rec add_translates (translate_list: ?) (start_lbl: label) (dest_lbl: label) |
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276 | (def: ?) on translate_list ≝ |
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277 | match translate_list with |
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278 | [ nil ⇒ def |
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279 | | cons hd tl ⇒ |
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280 | match tl with |
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281 | [ nil ⇒ hd start_lbl dest_lbl def |
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282 | | cons hd' tl' ⇒ |
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283 | let 〈new_def, tmp_lbl〉 ≝ fresh_label def in |
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284 | let applied ≝ hd start_lbl tmp_lbl new_def in |
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285 | add_translates tl tmp_lbl dest_lbl applied |
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286 | ] |
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287 | ]. |
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288 | |
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289 | definition translate_cst_int_internal ≝ |
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290 | λdest_lbl. |
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291 | λr. |
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292 | λi. |
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293 | rtl_st_int r i dest_lbl. |
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294 | |
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295 | axiom translate_cst: |
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296 | ∀cst: constant. |
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297 | ∀destrs: list register. |
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298 | ∀start_lbl: label. |
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299 | ∀dest_lbl: label. |
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300 | ∀def: rtl_internal_function. |
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301 | rtl_internal_function. |
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302 | |
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303 | definition translate_move_internal ≝ |
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304 | λstart_lbl: label. |
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305 | λdestr: register. |
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306 | λsrcr: register. |
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307 | rtl_st_move destr srcr start_lbl. |
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308 | |
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309 | definition translate_move ≝ |
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310 | λdestrs: list register. |
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311 | λsrcrs: list register. |
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312 | λstart_lbl: label. |
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313 | match reduce_strong register destrs srcrs with |
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314 | [ dp crl_crr len_proof ⇒ |
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315 | let commonl ≝ \fst (\fst crl_crr) in |
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316 | let commonr ≝ \fst (\snd crl_crr) in |
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317 | let restl ≝ \snd (\fst crl_crr) in |
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318 | let restr ≝ \snd (\snd crl_crr) in |
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319 | let f_common ≝ translate_move_internal start_lbl in |
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320 | let translate1 ≝ adds_graph (map2 … f_common commonl commonr ?) in |
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321 | let translate2 ≝ translate_cst (Ointconst ? (repr I8 0)) restl in (* should this be 8? *) |
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322 | add_translates [ translate1 ; translate2 ] start_lbl |
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323 | ]. |
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324 | @len_proof |
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325 | qed. |
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326 | |
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327 | let rec make |
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328 | (A: Type[0]) (elt: A) (n: nat) on n ≝ |
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329 | match n with |
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330 | [ O ⇒ [ ] |
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331 | | S n' ⇒ elt :: make A elt n' |
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332 | ]. |
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333 | |
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334 | lemma make_length: |
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335 | ∀A: Type[0]. |
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336 | ∀elt: A. |
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337 | ∀n: nat. |
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338 | n = length ? (make A elt n). |
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339 | #A #ELT #N |
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340 | elim N |
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341 | [ normalize % |
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342 | | #N #IH |
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343 | normalize <IH % |
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344 | ] |
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345 | qed. |
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346 | |
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347 | definition translate_cast_unsigned ≝ |
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348 | λdestrs. |
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349 | λstart_lbl. |
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350 | λdest_lbl. |
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351 | λdef. |
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352 | let 〈def, tmp_zero〉 ≝ fresh_reg def in |
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353 | let zeros ≝ make ? tmp_zero (length ? destrs) in |
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354 | add_translates [ |
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355 | adds_graph [ |
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356 | rtl_st_int tmp_zero (bitvector_of_nat ? 0) start_lbl |
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357 | ]; |
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358 | translate_move destrs zeros |
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359 | ] start_lbl dest_lbl def. |
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360 | |
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361 | definition translate_cast_signed ≝ |
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362 | λdestrs. |
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363 | λsrcr. |
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364 | λstart_lbl. |
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365 | λdest_lbl. |
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366 | λdef. |
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367 | let 〈def, tmp_128〉 ≝ fresh_reg def in |
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368 | let 〈def, tmp_255〉 ≝ fresh_reg def in |
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369 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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370 | let 〈def, dummy〉 ≝ fresh_reg def in |
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371 | let insts ≝ [ |
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372 | rtl_st_int tmp_128 (bitvector_of_nat ? 128) start_lbl; |
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373 | rtl_st_op2 And tmpr tmp_128 srcr start_lbl; |
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374 | rtl_st_opaccs DivuModu tmpr dummy tmpr tmp_128 start_lbl; |
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375 | rtl_st_int tmp_255 (bitvector_of_nat ? 255) start_lbl; |
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376 | rtl_st_opaccs Mul tmpr dummy tmpr tmp_255 start_lbl |
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377 | ] in |
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378 | let srcrs ≝ make ? tmpr (length ? destrs) in |
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379 | add_translates [ |
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380 | adds_graph insts; |
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381 | translate_move destrs srcrs |
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382 | ] start_lbl dest_lbl def. |
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383 | |
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384 | definition translate_cast ≝ |
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385 | λsrc_size. |
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386 | λsrc_sign. |
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387 | λdest_size. |
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388 | λdestrs. |
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389 | λsrcrs. |
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390 | match | srcrs | return λx. | srcrs | = x → ? with |
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391 | [ O ⇒ λzero_prf. adds_graph [ ] |
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392 | | S n' ⇒ λsucc_prf. |
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393 | if ltb dest_size src_size then |
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394 | translate_move destrs srcrs |
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395 | else |
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396 | match reduce_strong ? destrs srcrs with |
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397 | [ dp crl len_proof ⇒ |
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398 | let commonl ≝ \fst (\fst crl) in |
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399 | let commonr ≝ \fst (\snd crl) in |
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400 | let restl ≝ \snd (\fst crl) in |
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401 | let restr ≝ \snd (\snd crl) in |
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402 | let insts_common ≝ translate_move commonl commonr in |
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403 | let sign_reg ≝ last_safe ? srcrs ? in |
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404 | let insts_sign ≝ |
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405 | match src_sign with |
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406 | [ Unsigned ⇒ translate_cast_unsigned restl |
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407 | | Signed ⇒ translate_cast_signed restl sign_reg |
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408 | ] |
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409 | in |
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410 | add_translates [ insts_common; insts_sign ] |
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411 | ] |
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412 | ] (refl ? (|srcrs|)). |
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413 | >succ_prf // |
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414 | qed. |
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415 | |
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416 | definition translate_negint ≝ |
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417 | λdestrs. |
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418 | λsrcrs. |
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419 | λstart_lbl. |
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420 | λdest_lbl. |
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421 | λdef. |
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422 | λprf: | destrs | = | srcrs |. (* assert in caml code *) |
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423 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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424 | let f_cmpl ≝ λdestr. λsrcr. rtl_st_op1 Cmpl destr srcr start_lbl in |
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425 | let insts_cmpl ≝ map2 ? ? ? f_cmpl destrs srcrs prf in |
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426 | let insts_init ≝ [ |
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427 | rtl_st_set_carry start_lbl; |
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428 | rtl_st_int tmpr (zero ?) start_lbl |
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429 | ] in |
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430 | let f_add ≝ λdestr. rtl_st_op2 Addc destr destr tmpr start_lbl in |
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431 | let insts_add ≝ map … f_add destrs in |
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432 | adds_graph (insts_cmpl @ insts_init @ insts_add) start_lbl dest_lbl def. |
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433 | |
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434 | definition translate_notbool ≝ |
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435 | λdestrs. |
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436 | λsrcrs. |
---|
437 | λstart_lbl. |
---|
438 | λdest_lbl. |
---|
439 | λdef. |
---|
440 | match destrs with |
---|
441 | [ nil ⇒ add_graph start_lbl (rtl_st_skip dest_lbl) def |
---|
442 | | cons destr destrs ⇒ |
---|
443 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
444 | let 〈def, tmp_srcrs〉 ≝ fresh_regs def (length ? srcrs) in |
---|
445 | let save_srcrs ≝ translate_move tmp_srcrs srcrs in |
---|
446 | let init_destr ≝ rtl_st_int destr (bitvector_of_nat ? 1) start_lbl in |
---|
447 | let f ≝ λtmp_srcr. [ |
---|
448 | rtl_st_clear_carry start_lbl; |
---|
449 | rtl_st_int tmpr (zero ?) start_lbl; |
---|
450 | rtl_st_op2 Sub tmpr tmpr tmp_srcr start_lbl; |
---|
451 | rtl_st_int tmpr (zero ?) start_lbl; |
---|
452 | rtl_st_op2 Addc tmpr tmpr tmpr start_lbl; |
---|
453 | rtl_st_op2 Xor destr destr tmpr start_lbl |
---|
454 | ] in |
---|
455 | let insts ≝ init_destr :: (flatten ? (map … f tmp_srcrs)) in |
---|
456 | let epilogue ≝ translate_cst (Ointconst I8 (bitvector_of_nat ? 0)) destrs in |
---|
457 | add_translates [ |
---|
458 | save_srcrs; adds_graph insts; epilogue |
---|
459 | ] start_lbl dest_lbl def |
---|
460 | ]. |
---|
461 | |
---|
462 | definition translate_intermediate_op1 ≝ |
---|
463 | λop1. |
---|
464 | λdestrs. |
---|
465 | λsrcrs. |
---|
466 | λstart_lbl. |
---|
467 | λdest_lbl. |
---|
468 | λdef. |
---|
469 | λprf: |destrs| = |srcrs|. |
---|
470 | match op1 with |
---|
471 | [ intermediate_op1_cast src_size src_sign dest_size ⇒ |
---|
472 | translate_cast src_size src_sign dest_size destrs srcrs start_lbl dest_lbl def |
---|
473 | | intermediate_op1_negint ⇒ |
---|
474 | translate_negint destrs srcrs start_lbl dest_lbl def prf |
---|
475 | | intermediate_op1_notbool ⇒ |
---|
476 | translate_notbool destrs srcrs start_lbl dest_lbl def |
---|
477 | | intermediate_op1_notint ⇒ |
---|
478 | let f ≝ λdestr. λsrcr. rtl_st_op1 Cmpl destr srcr start_lbl in |
---|
479 | let l ≝ map2 … f destrs srcrs prf in |
---|
480 | adds_graph l start_lbl dest_lbl def |
---|
481 | | intermediate_op1_ptrofint ⇒ |
---|
482 | translate_move destrs srcrs start_lbl dest_lbl def |
---|
483 | | intermediate_op1_intofptr ⇒ |
---|
484 | translate_move destrs srcrs start_lbl dest_lbl def |
---|
485 | | intermediate_op1_id ⇒ |
---|
486 | translate_move destrs srcrs start_lbl dest_lbl def |
---|
487 | ]. |
---|
488 | |
---|
489 | definition translate_op ≝ |
---|
490 | λop. |
---|
491 | λdestrs. |
---|
492 | λsrcrs1. |
---|
493 | λsrcrs2. |
---|
494 | λprf: |srcrs1| = |srcrs2|. |
---|
495 | λstart_lbl. |
---|
496 | λdest_lbl. |
---|
497 | λdef. |
---|
498 | match reduce_strong ? srcrs1 srcrs2 with |
---|
499 | [ dp reduced first_reduced_proof ⇒ |
---|
500 | let srcrsl_common ≝ \fst (\fst reduced) in |
---|
501 | let srcrsr_common ≝ \fst (\snd reduced) in |
---|
502 | let srcrsl_rest ≝ \snd (\fst reduced) in |
---|
503 | let srcrsr_rest ≝ \snd (\snd reduced) in |
---|
504 | let srcrs_rest ≝ choose_rest ? srcrsl_rest srcrsr_rest ? ? in |
---|
505 | match reduce_strong ? destrs srcrsl_common with |
---|
506 | [ dp reduced second_reduced_proof ⇒ |
---|
507 | let destrs_common ≝ \fst (\fst reduced) in |
---|
508 | let destrs_rest ≝ \snd (\fst reduced) in |
---|
509 | match reduce_strong ? destrs_rest srcrs_rest with |
---|
510 | [ dp reduced third_reduced_proof ⇒ |
---|
511 | let destrs_cted ≝ \fst (\fst reduced) in |
---|
512 | let destrs_rest ≝ \snd (\fst reduced) in |
---|
513 | let srcrs_cted ≝ \fst (\snd reduced) in |
---|
514 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
515 | let insts_init ≝ [ |
---|
516 | rtl_st_clear_carry start_lbl; |
---|
517 | rtl_st_int tmpr (zero ?) start_lbl |
---|
518 | ] in |
---|
519 | let f_add ≝ λdestr. λsrcr1. λsrcr2. rtl_st_op2 op destr srcr1 srcr2 start_lbl in |
---|
520 | let insts_add ≝ map3 … f_add destrs_common srcrsl_common srcrsr_common ? ? in |
---|
521 | let f_add_cted ≝ λdestr. λsrcr. rtl_st_op2 op destr srcr tmpr start_lbl in |
---|
522 | let insts_add_cted ≝ map2 ? ? ? f_add_cted destrs_cted srcrs_cted ? in |
---|
523 | let f_rest ≝ λdestr. rtl_st_op2 op destr tmpr tmpr start_lbl in |
---|
524 | let insts_rest ≝ map … f_rest destrs_rest in |
---|
525 | adds_graph (insts_init @ insts_add @ insts_add_cted @ insts_rest) start_lbl dest_lbl def |
---|
526 | ] |
---|
527 | ] |
---|
528 | ]. |
---|
529 | cases not_implemented (* problem here with lengths of lists: possible bug? *) |
---|
530 | qed. |
---|
531 | |
---|
532 | let rec translate_mul1 |
---|
533 | (dummy: register) (tmpr: register) (destrs: list register) |
---|
534 | (srcrs1: list register) (srcr2: register) (start_lbl: label) |
---|
535 | on srcrs1 ≝ |
---|
536 | match destrs with |
---|
537 | [ nil ⇒ adds_graph [ rtl_st_skip start_lbl ] start_lbl |
---|
538 | | cons destr tl ⇒ |
---|
539 | match tl with |
---|
540 | [ nil ⇒ |
---|
541 | match srcrs1 with |
---|
542 | [ nil ⇒ |
---|
543 | adds_graph [ |
---|
544 | rtl_st_int tmpr (zero ?) start_lbl; |
---|
545 | rtl_st_op2 Addc destr destr tmpr start_lbl |
---|
546 | ] start_lbl |
---|
547 | | cons srcr1 tl' ⇒ |
---|
548 | adds_graph [ |
---|
549 | rtl_st_opaccs Mul tmpr dummy srcr2 srcr1 start_lbl; |
---|
550 | rtl_st_op2 Addc destr destr tmpr start_lbl |
---|
551 | ] start_lbl |
---|
552 | ] |
---|
553 | | cons destr2 destrs ⇒ |
---|
554 | match srcrs1 with |
---|
555 | [ nil ⇒ |
---|
556 | add_translates [ |
---|
557 | adds_graph [ |
---|
558 | rtl_st_int tmpr (zero ?) start_lbl; |
---|
559 | rtl_st_op2 Addc destr destr tmpr start_lbl; |
---|
560 | rtl_st_op2 Addc destr2 tmpr tmpr start_lbl |
---|
561 | ]; |
---|
562 | translate_cst (Ointconst I8 (zero ?)) destrs |
---|
563 | ] start_lbl |
---|
564 | | cons srcr1 srcrs1 ⇒ |
---|
565 | match destrs with |
---|
566 | [ nil ⇒ |
---|
567 | add_translates [ |
---|
568 | adds_graph [ |
---|
569 | rtl_st_int tmpr (zero ?) start_lbl; |
---|
570 | rtl_st_op2 Addc destr destr tmpr start_lbl; |
---|
571 | rtl_st_op2 Addc destr2 tmpr tmpr start_lbl |
---|
572 | ]; |
---|
573 | translate_cst (Ointconst I8 (zero ?)) destrs |
---|
574 | ] start_lbl |
---|
575 | | cons destr2 destrs ⇒ |
---|
576 | add_translates [ |
---|
577 | adds_graph [ |
---|
578 | rtl_st_opaccs Mul tmpr destr2 srcr2 srcr1 start_lbl; |
---|
579 | rtl_st_op2 Addc destr destr tmpr start_lbl |
---|
580 | ]; |
---|
581 | translate_mul1 dummy tmpr (destr2 :: destrs) srcrs1 srcr2 |
---|
582 | ] start_lbl |
---|
583 | ] |
---|
584 | ] |
---|
585 | ] |
---|
586 | ]. |
---|
587 | |
---|
588 | definition translate_muli ≝ |
---|
589 | λdummy: register. |
---|
590 | λtmpr: register. |
---|
591 | λdestrs: list register. |
---|
592 | λtmp_destrs: list register. |
---|
593 | λdestrs_prf: |destrs| = |tmp_destrs|. |
---|
594 | λsrcrs1: list register. |
---|
595 | λdummy_lbl: label. |
---|
596 | λi: nat. |
---|
597 | λi_prf. |
---|
598 | λtranslates: list ?. |
---|
599 | λsrcr2i: register. |
---|
600 | let 〈tmp_destrs1, tmp_destrs2〉 ≝ split ? tmp_destrs i i_prf in |
---|
601 | let tmp_destrs2' ≝ |
---|
602 | match tmp_destrs2 with |
---|
603 | [ nil ⇒ [ ] |
---|
604 | | cons tmp_destr2 tmp_destrs2 ⇒ [ |
---|
605 | adds_graph [ |
---|
606 | rtl_st_clear_carry dummy_lbl; |
---|
607 | rtl_st_int tmp_destr2 (zero ?) dummy_lbl |
---|
608 | ]; |
---|
609 | translate_mul1 dummy tmpr tmp_destrs2 srcrs1 srcr2i; |
---|
610 | translate_cst (Ointconst I8 (zero ?)) tmp_destrs1; |
---|
611 | adds_graph [ |
---|
612 | rtl_st_clear_carry dummy_lbl |
---|
613 | ]; |
---|
614 | translate_op Addc destrs destrs tmp_destrs destrs_prf |
---|
615 | ] |
---|
616 | ] |
---|
617 | in |
---|
618 | translates @ tmp_destrs2'. |
---|
619 | |
---|
620 | definition translate_mul ≝ |
---|
621 | λdestrs: list register. |
---|
622 | λsrcrs1: list register. |
---|
623 | λsrcrs2: list register. |
---|
624 | λstart_lbl: label. |
---|
625 | λdest_lbl: label. |
---|
626 | λdef: rtl_internal_function. |
---|
627 | let 〈def, dummy〉 ≝ fresh_reg def in |
---|
628 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
629 | let 〈def, tmp_destrs〉 ≝ fresh_regs def (|destrs|) in |
---|
630 | let 〈def, fresh_srcrs1〉 ≝ fresh_regs def (|srcrs1|) in |
---|
631 | let 〈def, fresh_srcrs2〉 ≝ fresh_regs def (|srcrs2|) in |
---|
632 | let insts_init ≝ [ |
---|
633 | translate_move fresh_srcrs1 srcrs1; |
---|
634 | translate_move fresh_srcrs2 srcrs2; |
---|
635 | translate_cst (Ointconst I8 (zero ?)) destrs |
---|
636 | ] |
---|
637 | in |
---|
638 | let f ≝ λi. translate_muli dummy tmpr destrs tmp_destrs ? fresh_srcrs1 start_lbl i ? in |
---|
639 | let insts_mul ≝ foldi ? ? [ ] srcrs2 in ?. [5: check insts_init. |
---|
640 | add_translates (insts_init @ insts_mul) start_lbl dest_lbl def. |
---|
641 | |
---|
642 | let translate_mul destrs srcrs1 srcrs2 start_lbl dest_lbl def = |
---|
643 | let (def, dummy) = fresh_reg def in |
---|
644 | let (def, tmpr) = fresh_reg def in |
---|
645 | let (def, tmp_destrs) = fresh_regs def (List.length destrs) in |
---|
646 | let (def, fresh_srcrs1) = fresh_regs def (List.length srcrs1) in |
---|
647 | let (def, fresh_srcrs2) = fresh_regs def (List.length srcrs2) in |
---|
648 | let insts_init = |
---|
649 | [translate_move fresh_srcrs1 srcrs1 ; |
---|
650 | translate_move fresh_srcrs2 srcrs2 ; |
---|
651 | translate_cst (AST.Cst_int 0) destrs] in |
---|
652 | let f = λi. translate_muli dummy tmpr destrs tmp_destrs fresh_srcrs1 start_lbl i ? in |
---|
653 | let insts_mul = MiscPottier.foldi f [] srcrs2 in |
---|
654 | add_translates (insts_init @ insts_mul) start_lbl dest_lbl def |
---|
655 | |
---|
656 | definition filter_and_to_list_local_env_internal ≝ |
---|
657 | λlenv. |
---|
658 | λl. |
---|
659 | λr. |
---|
660 | match assoc_list_lookup ? ? r (eq_identifier RegisterTag) lenv with |
---|
661 | [ Some entry ⇒ |
---|
662 | match entry with |
---|
663 | [ register_ptr r1 r2 ⇒ (l @ [ r1; r2 ]) |
---|
664 | | register_int r ⇒ (l @ [ r ]) |
---|
665 | ] |
---|
666 | | None ⇒ [ ] (* dpm: should this be none? *) |
---|
667 | ]. |
---|
668 | |
---|
669 | definition filter_and_to_list_local_env ≝ |
---|
670 | λlenv. |
---|
671 | λregisters. |
---|
672 | foldl ? ? (filter_and_to_list_local_env_internal lenv) [ ] registers. |
---|
673 | |
---|
674 | definition list_of_register_type ≝ |
---|
675 | λrt. |
---|
676 | match rt with |
---|
677 | [ register_ptr r1 r2 ⇒ [ r1; r2 ] |
---|
678 | | register_int r ⇒ [ r ] |
---|
679 | ]. |
---|
680 | |
---|
681 | definition find_and_list ≝ |
---|
682 | λr. |
---|
683 | λlenv. |
---|
684 | match assoc_list_lookup ? ? r (eq_identifier RegisterTag) lenv with |
---|
685 | [ None ⇒ [ ] (* dpm: should this be none? *) |
---|
686 | | Some lkup ⇒ list_of_register_type lkup |
---|
687 | ]. |
---|
688 | |
---|
689 | definition find_and_list_args ≝ |
---|
690 | λargs. |
---|
691 | λlenv. |
---|
692 | map ? ? (λr. find_and_list r lenv) args. |
---|
693 | |
---|
694 | (* dpm: horrendous, use dependent types. |
---|
695 | length destr = length srcrs *) |
---|
696 | let rec translate_move (destrs: ?) (srcrs: ?) (start_lbl: label) |
---|
697 | (dest_lbl: label) (def: ?) ≝ |
---|
698 | match destrs with |
---|
699 | [ nil ⇒ |
---|
700 | match srcrs with |
---|
701 | [ nil ⇒ Some ? def |
---|
702 | | cons hd tl ⇒ None ? |
---|
703 | ] |
---|
704 | | cons hd tl ⇒ |
---|
705 | match srcrs with |
---|
706 | [ nil ⇒ None ? |
---|
707 | | cons hd' tl' ⇒ |
---|
708 | match tl with |
---|
709 | [ nil ⇒ |
---|
710 | match tl' with |
---|
711 | (* one element lists *) |
---|
712 | [ nil ⇒ Some ? (add_graph start_lbl (rtl_st_move hd hd' dest_lbl) def) |
---|
713 | | cons hd'' tl'' ⇒ None ? |
---|
714 | ] |
---|
715 | | cons hd'' tl'' ⇒ |
---|
716 | match tl' with |
---|
717 | [ nil ⇒ None ? |
---|
718 | (* multielement lists *) |
---|
719 | | cons hd''' tl''' ⇒ |
---|
720 | let tmp_lbl ≝ fresh_label def in |
---|
721 | match tmp_lbl with |
---|
722 | [ None ⇒ None ? |
---|
723 | | Some tmp_lbl ⇒ |
---|
724 | let def ≝ add_graph start_lbl (rtl_st_move hd hd' tmp_lbl) def in |
---|
725 | translate_move tl tl' tmp_lbl dest_lbl def |
---|
726 | ] |
---|
727 | ] |
---|
728 | ] |
---|
729 | ] |
---|
730 | ]. |
---|
731 | |
---|
732 | definition extract_singleton ≝ |
---|
733 | λA: Type[0]. |
---|
734 | λl: list A. |
---|
735 | match l with |
---|
736 | [ nil ⇒ None ? |
---|
737 | | cons hd tl ⇒ |
---|
738 | match tl with |
---|
739 | [ nil ⇒ Some ? hd |
---|
740 | | cons hd tl ⇒ None ? |
---|
741 | ] |
---|
742 | ]. |
---|
743 | |
---|
744 | definition extract_pair ≝ |
---|
745 | λA: Type[0]. |
---|
746 | λl: list A. |
---|
747 | match l with |
---|
748 | [ nil ⇒ None ? |
---|
749 | | cons hd tl ⇒ |
---|
750 | match tl with |
---|
751 | [ nil ⇒ None ? |
---|
752 | | cons hd' tl' ⇒ |
---|
753 | match tl' with |
---|
754 | [ nil ⇒ Some ? 〈hd, hd'〉 |
---|
755 | | cons hd'' tl'' ⇒ None ? |
---|
756 | ] |
---|
757 | ] |
---|
758 | ]. |
---|
759 | |
---|
760 | definition translate_op1 ≝ |
---|
761 | λop1. |
---|
762 | λdestrs. |
---|
763 | λsrcrs. |
---|
764 | λstart_lbl. |
---|
765 | λdest_lbl. |
---|
766 | λdef. |
---|
767 | match op1 with |
---|
768 | [ op_cast8_unsigned ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
769 | | op_cast8_signed ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
770 | | op_cast16_unsigned ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
771 | | op_cast16_signed ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
772 | | op_neg_int ⇒ |
---|
773 | let dstr ≝ extract_singleton ? destrs in |
---|
774 | let srcr ≝ extract_singleton ? srcrs in |
---|
775 | match dstr with |
---|
776 | [ None ⇒ None ? |
---|
777 | | Some dstr ⇒ |
---|
778 | match srcr with |
---|
779 | [ None ⇒ None ? |
---|
780 | | Some srcr ⇒ |
---|
781 | adds_graph [ |
---|
782 | rtl_st_op1 Cmpl dstr srcr start_lbl; |
---|
783 | rtl_st_op1 Inc dstr dstr start_lbl |
---|
784 | ] start_lbl dest_lbl def |
---|
785 | ] |
---|
786 | ] |
---|
787 | | op_not_int ⇒ |
---|
788 | let dstr ≝ extract_singleton ? destrs in |
---|
789 | let srcr ≝ extract_singleton ? srcrs in |
---|
790 | match dstr with |
---|
791 | [ None ⇒ None ? |
---|
792 | | Some dstr ⇒ |
---|
793 | match srcr with |
---|
794 | [ None ⇒ None ? |
---|
795 | | Some srcr ⇒ |
---|
796 | adds_graph [ |
---|
797 | rtl_st_op1 Cmpl dstr srcr start_lbl |
---|
798 | ] start_lbl dest_lbl def |
---|
799 | ] |
---|
800 | ] |
---|
801 | | op_id ⇒ translate_move destrs srcrs start_lbl dest_lbl def |
---|
802 | | op_ptr_of_int ⇒ |
---|
803 | let destr12 ≝ extract_pair ? destrs in |
---|
804 | let srcr ≝ extract_singleton ? srcrs in |
---|
805 | match destr12 with |
---|
806 | [ None ⇒ None ? |
---|
807 | | Some destr12 ⇒ |
---|
808 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
809 | match srcr with |
---|
810 | [ None ⇒ None ? |
---|
811 | | Some srcr ⇒ |
---|
812 | adds_graph [ |
---|
813 | rtl_st_move destr1 srcr dest_lbl; |
---|
814 | rtl_st_int destr2 (bitvector_of_nat ? 0) start_lbl |
---|
815 | ] start_lbl dest_lbl def |
---|
816 | ] |
---|
817 | ] |
---|
818 | | op_int_of_ptr ⇒ |
---|
819 | let destr ≝ extract_singleton ? destrs in |
---|
820 | match destr with |
---|
821 | [ None ⇒ None ? |
---|
822 | | Some destr ⇒ |
---|
823 | match srcrs with |
---|
824 | [ nil ⇒ None ? |
---|
825 | | cons srcr tl ⇒ |
---|
826 | Some ? (add_graph start_lbl (rtl_st_move destr srcr dest_lbl) def) |
---|
827 | ] |
---|
828 | ] |
---|
829 | | op_not_bool ⇒ |
---|
830 | let destr ≝ extract_singleton ? destrs in |
---|
831 | let srcrs ≝ extract_singleton ? srcrs in |
---|
832 | match destr with |
---|
833 | [ None ⇒ None ? |
---|
834 | | Some destr ⇒ |
---|
835 | match srcrs with |
---|
836 | [ None ⇒ None ? |
---|
837 | | Some srcr ⇒ |
---|
838 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
839 | adds_graph [ |
---|
840 | rtl_st_int tmpr (bitvector_of_nat ? 0) start_lbl; |
---|
841 | rtl_st_clear_carry start_lbl; |
---|
842 | rtl_st_op2 Sub destr tmpr srcr start_lbl; |
---|
843 | rtl_st_int destr (bitvector_of_nat ? 0) dest_lbl; |
---|
844 | rtl_st_op2 Addc destr destr destr start_lbl; |
---|
845 | rtl_st_int tmpr (bitvector_of_nat ? 1) dest_lbl; |
---|
846 | rtl_st_op2 Xor destr destr tmpr start_lbl |
---|
847 | ] start_lbl dest_lbl def |
---|
848 | ] |
---|
849 | ] |
---|
850 | | _ ⇒ None ? (* error float *) |
---|
851 | ]. |
---|
852 | |
---|
853 | definition translate_condptr ≝ |
---|
854 | λr1. |
---|
855 | λr2. |
---|
856 | λstart_lbl: label. |
---|
857 | λlbl_true: label. |
---|
858 | λlbl_false: label. |
---|
859 | λdef. |
---|
860 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
861 | adds_graph [ |
---|
862 | rtl_st_op2 Or tmpr r1 r2 start_lbl; |
---|
863 | rtl_st_cond_acc tmpr lbl_true lbl_false |
---|
864 | ] start_lbl start_lbl def. |
---|
865 | |
---|
866 | (* |
---|
867 | let rec translate_op2 (op2: ?) (destrs: ?) (srcrs1: ?) (srcrs2: ?) |
---|
868 | (start_lbl: label) (dest_lbl: label) (def: ?) on op2 ≝ |
---|
869 | match op2 with |
---|
870 | [ op_add ⇒ |
---|
871 | let destr ≝ extract_singleton ? destrs in |
---|
872 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
873 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
874 | match destr with |
---|
875 | [ None ⇒ None ? |
---|
876 | | Some destr ⇒ |
---|
877 | match srcr1 with |
---|
878 | [ None ⇒ None ? |
---|
879 | | Some srcr1 ⇒ |
---|
880 | match srcr2 with |
---|
881 | [ None ⇒ None ? |
---|
882 | | Some srcr2 ⇒ |
---|
883 | adds_graph [ |
---|
884 | rtl_st_op2 Add destr srcr1 srcr2 start_lbl |
---|
885 | ] start_lbl dest_lbl def |
---|
886 | ] |
---|
887 | ] |
---|
888 | ] |
---|
889 | | op_sub ⇒ |
---|
890 | let destr ≝ extract_singleton ? destrs in |
---|
891 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
892 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
893 | match destr with |
---|
894 | [ None ⇒ None ? |
---|
895 | | Some destr ⇒ |
---|
896 | match srcr1 with |
---|
897 | [ None ⇒ None ? |
---|
898 | | Some srcr1 ⇒ |
---|
899 | match srcr2 with |
---|
900 | [ None ⇒ None ? |
---|
901 | | Some srcr2 ⇒ |
---|
902 | adds_graph [ |
---|
903 | rtl_st_clear_carry start_lbl; |
---|
904 | rtl_st_op2 Sub destr srcr1 srcr2 start_lbl |
---|
905 | ] start_lbl dest_lbl def |
---|
906 | ] |
---|
907 | ] |
---|
908 | ] |
---|
909 | | op_mul ⇒ |
---|
910 | let destr ≝ extract_singleton ? destrs in |
---|
911 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
912 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
913 | match destr with |
---|
914 | [ None ⇒ None ? |
---|
915 | | Some destr ⇒ |
---|
916 | match srcr1 with |
---|
917 | [ None ⇒ None ? |
---|
918 | | Some srcr1 ⇒ |
---|
919 | match srcr2 with |
---|
920 | [ None ⇒ None ? |
---|
921 | | Some srcr2 ⇒ |
---|
922 | adds_graph [ |
---|
923 | rtl_st_opaccs Mul destr srcr1 srcr2 start_lbl |
---|
924 | ] start_lbl dest_lbl def |
---|
925 | ] |
---|
926 | ] |
---|
927 | ] |
---|
928 | | op_div ⇒ None ? (* signed div not supported *) |
---|
929 | | op_divu ⇒ |
---|
930 | let destr ≝ extract_singleton ? destrs in |
---|
931 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
932 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
933 | match destr with |
---|
934 | [ None ⇒ None ? |
---|
935 | | Some destr ⇒ |
---|
936 | match srcr1 with |
---|
937 | [ None ⇒ None ? |
---|
938 | | Some srcr1 ⇒ |
---|
939 | match srcr2 with |
---|
940 | [ None ⇒ None ? |
---|
941 | | Some srcr2 ⇒ |
---|
942 | adds_graph [ |
---|
943 | rtl_st_opaccs Divu destr srcr1 srcr2 start_lbl |
---|
944 | ] start_lbl dest_lbl def |
---|
945 | ] |
---|
946 | ] |
---|
947 | ] |
---|
948 | | op_modu ⇒ |
---|
949 | let destr ≝ extract_singleton ? destrs in |
---|
950 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
951 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
952 | match destr with |
---|
953 | [ None ⇒ None ? |
---|
954 | | Some destr ⇒ |
---|
955 | match srcr1 with |
---|
956 | [ None ⇒ None ? |
---|
957 | | Some srcr1 ⇒ |
---|
958 | match srcr2 with |
---|
959 | [ None ⇒ None ? |
---|
960 | | Some srcr2 ⇒ |
---|
961 | adds_graph [ |
---|
962 | rtl_st_opaccs Modu destr srcr1 srcr2 start_lbl |
---|
963 | ] start_lbl dest_lbl def |
---|
964 | ] |
---|
965 | ] |
---|
966 | ] |
---|
967 | | op_mod ⇒ None ? (* signed mod not supported *) |
---|
968 | | op_and ⇒ |
---|
969 | let destr ≝ extract_singleton ? destrs in |
---|
970 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
971 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
972 | match destr with |
---|
973 | [ None ⇒ None ? |
---|
974 | | Some destr ⇒ |
---|
975 | match srcr1 with |
---|
976 | [ None ⇒ None ? |
---|
977 | | Some srcr1 ⇒ |
---|
978 | match srcr2 with |
---|
979 | [ None ⇒ None ? |
---|
980 | | Some srcr2 ⇒ |
---|
981 | adds_graph [ |
---|
982 | rtl_st_op2 And destr srcr1 srcr2 start_lbl |
---|
983 | ] start_lbl dest_lbl def |
---|
984 | ] |
---|
985 | ] |
---|
986 | ] |
---|
987 | | op_or ⇒ |
---|
988 | let destr ≝ extract_singleton ? destrs in |
---|
989 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
990 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
991 | match destr with |
---|
992 | [ None ⇒ None ? |
---|
993 | | Some destr ⇒ |
---|
994 | match srcr1 with |
---|
995 | [ None ⇒ None ? |
---|
996 | | Some srcr1 ⇒ |
---|
997 | match srcr2 with |
---|
998 | [ None ⇒ None ? |
---|
999 | | Some srcr2 ⇒ |
---|
1000 | adds_graph [ |
---|
1001 | rtl_st_op2 Or destr srcr1 srcr2 start_lbl |
---|
1002 | ] start_lbl dest_lbl def |
---|
1003 | ] |
---|
1004 | ] |
---|
1005 | ] |
---|
1006 | | op_xor ⇒ |
---|
1007 | let destr ≝ extract_singleton ? destrs in |
---|
1008 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
1009 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
1010 | match destr with |
---|
1011 | [ None ⇒ None ? |
---|
1012 | | Some destr ⇒ |
---|
1013 | match srcr1 with |
---|
1014 | [ None ⇒ None ? |
---|
1015 | | Some srcr1 ⇒ |
---|
1016 | match srcr2 with |
---|
1017 | [ None ⇒ None ? |
---|
1018 | | Some srcr2 ⇒ |
---|
1019 | adds_graph [ |
---|
1020 | rtl_st_op2 Xor destr srcr1 srcr2 start_lbl |
---|
1021 | ] start_lbl dest_lbl def |
---|
1022 | ] |
---|
1023 | ] |
---|
1024 | ] |
---|
1025 | | op_shru ⇒ None ? (* shifts not supported *) |
---|
1026 | | op_shr ⇒ None ? |
---|
1027 | | op_shl ⇒ None ? |
---|
1028 | | op_addf ⇒ None ? (* floats not supported *) |
---|
1029 | | op_subf ⇒ None ? |
---|
1030 | | op_mulf ⇒ None ? |
---|
1031 | | op_divf ⇒ None ? |
---|
1032 | | op_cmpf _ ⇒ None ? |
---|
1033 | | op_addp ⇒ |
---|
1034 | let destr12 ≝ extract_pair ? destrs in |
---|
1035 | match destr12 with |
---|
1036 | [ None ⇒ None ? |
---|
1037 | | Some destr12 ⇒ |
---|
1038 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1039 | let srcr12 ≝ extract_pair ? srcrs1 in |
---|
1040 | match srcr12 with |
---|
1041 | [ None ⇒ |
---|
1042 | let srcr2 ≝ extract_singleton ? srcrs1 in |
---|
1043 | match srcr2 with |
---|
1044 | [ None ⇒ None ? |
---|
1045 | | Some srcr2 ⇒ |
---|
1046 | let srcr12 ≝ extract_pair ? srcrs2 in |
---|
1047 | match srcr12 with |
---|
1048 | [ None ⇒ None ? |
---|
1049 | | Some srcr12 ⇒ |
---|
1050 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
1051 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
1052 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
1053 | adds_graph [ |
---|
1054 | rtl_st_op2 Add tmpr1 srcr11 srcr2 start_lbl; |
---|
1055 | rtl_st_int tmpr2 (bitvector_of_nat ? 0) start_lbl; |
---|
1056 | rtl_st_op2 Addc destr2 tmpr2 srcr12 start_lbl; |
---|
1057 | rtl_st_move destr1 tmpr1 start_lbl |
---|
1058 | ] start_lbl dest_lbl def |
---|
1059 | ] |
---|
1060 | ] |
---|
1061 | | Some srcr12 ⇒ |
---|
1062 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
1063 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
1064 | match srcr2 with |
---|
1065 | [ None ⇒ None ? |
---|
1066 | | Some srcr2 ⇒ |
---|
1067 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
1068 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
1069 | adds_graph [ |
---|
1070 | rtl_st_op2 Add tmpr1 srcr11 srcr2 start_lbl; |
---|
1071 | rtl_st_int tmpr2 (bitvector_of_nat ? 0) start_lbl; |
---|
1072 | rtl_st_op2 Addc destr2 tmpr2 srcr12 start_lbl; |
---|
1073 | rtl_st_move destr1 tmpr1 start_lbl |
---|
1074 | ] start_lbl dest_lbl def |
---|
1075 | ] |
---|
1076 | ] |
---|
1077 | ] |
---|
1078 | | op_subp ⇒ |
---|
1079 | let destr ≝ extract_singleton ? destrs in |
---|
1080 | match destr with |
---|
1081 | [ None ⇒ |
---|
1082 | let destr12 ≝ extract_pair ? destrs in |
---|
1083 | match destr12 with |
---|
1084 | [ None ⇒ None ? |
---|
1085 | | Some destr12 ⇒ |
---|
1086 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1087 | let srcr12 ≝ extract_pair ? srcrs1 in |
---|
1088 | match srcr12 with |
---|
1089 | [ None ⇒ None ? |
---|
1090 | | Some srcr12 ⇒ |
---|
1091 | let 〈srcr11, srcr12〉 ≝ srcr12 in |
---|
1092 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
1093 | match srcr2 with |
---|
1094 | [ None ⇒ None ? |
---|
1095 | | Some srcr2 ⇒ |
---|
1096 | adds_graph [ |
---|
1097 | rtl_st_clear_carry start_lbl; |
---|
1098 | rtl_st_op2 Sub destr1 srcr11 srcr2 start_lbl; |
---|
1099 | rtl_st_int destr2 (bitvector_of_nat ? 0) start_lbl; |
---|
1100 | rtl_st_op2 Sub destr2 srcr12 destr2 start_lbl |
---|
1101 | ] start_lbl dest_lbl def |
---|
1102 | ] |
---|
1103 | ] |
---|
1104 | ] |
---|
1105 | | Some destr ⇒ |
---|
1106 | match srcrs1 with |
---|
1107 | [ nil ⇒ None ? |
---|
1108 | | cons srcr1 tl ⇒ |
---|
1109 | match srcrs2 with |
---|
1110 | [ nil ⇒ None ? |
---|
1111 | | cons srcr2 tl' ⇒ |
---|
1112 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
1113 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
1114 | adds_graph [ |
---|
1115 | rtl_st_op1 Cmpl tmpr1 srcr2 start_lbl; |
---|
1116 | rtl_st_int tmpr2 (bitvector_of_nat ? 1) start_lbl; |
---|
1117 | rtl_st_op2 Add tmpr1 tmpr1 tmpr2 start_lbl; |
---|
1118 | rtl_st_op2 Add destr srcr1 tmpr1 start_lbl |
---|
1119 | ] start_lbl dest_lbl def |
---|
1120 | ] |
---|
1121 | ] |
---|
1122 | ] |
---|
1123 | | op_cmp cmp ⇒ |
---|
1124 | match cmp with |
---|
1125 | [ Compare_Equal ⇒ |
---|
1126 | add_translates [ |
---|
1127 | translate_op2 op_sub destrs srcrs1 srcrs2; |
---|
1128 | translate_op1 op_not_bool destrs destrs |
---|
1129 | ] start_lbl dest_lbl def |
---|
1130 | | Compare_NotEqual ⇒ |
---|
1131 | translate_op2 op_sub destrs srcrs1 srcrs2 start_lbl dest_lbl def |
---|
1132 | | _ ⇒ None ? |
---|
1133 | ] |
---|
1134 | | op_cmpu cmp ⇒ |
---|
1135 | match cmp with |
---|
1136 | [ Compare_Equal ⇒ |
---|
1137 | add_translates [ |
---|
1138 | translate_op2 op_sub destrs srcrs1 srcrs2; |
---|
1139 | translate_op1 op_not_bool destrs destrs |
---|
1140 | ] start_lbl dest_lbl def |
---|
1141 | | Compare_NotEqual ⇒ |
---|
1142 | translate_op2 op_sub destrs srcrs1 srcrs2 start_lbl dest_lbl def |
---|
1143 | | Compare |
---|
1144 | | _ ⇒ None ? |
---|
1145 | ] |
---|
1146 | | _ ⇒ ? |
---|
1147 | ]. |
---|
1148 | |
---|
1149 | | AST.Op_cmpu AST.Cmp_lt, [destr], [srcr1], [srcr2] -> |
---|
1150 | let (def, tmpr) = fresh_reg def in |
---|
1151 | adds_graph |
---|
1152 | [RTL.St_clear_carry start_lbl ; |
---|
1153 | RTL.St_op2 (I8051.Sub, destr, srcr1, srcr2, start_lbl) ; |
---|
1154 | RTL.St_int (destr, 0, start_lbl) ; |
---|
1155 | RTL.St_op2 (I8051.Addc, destr, destr, destr, start_lbl)] |
---|
1156 | start_lbl dest_lbl def |
---|
1157 | |
---|
1158 | | AST.Op_cmpu AST.Cmp_gt, _, _, _ -> |
---|
1159 | translate_op2 (AST.Op_cmpu AST.Cmp_lt) |
---|
1160 | destrs srcrs2 srcrs1 start_lbl dest_lbl def |
---|
1161 | |
---|
1162 | | AST.Op_cmpu AST.Cmp_le, _, _, _ -> |
---|
1163 | add_translates |
---|
1164 | [translate_op2 (AST.Op_cmpu AST.Cmp_gt) destrs srcrs1 srcrs2 ; |
---|
1165 | translate_op1 AST.Op_notbool destrs destrs] |
---|
1166 | start_lbl dest_lbl def |
---|
1167 | |
---|
1168 | | AST.Op_cmpu AST.Cmp_ge, _, _, _ -> |
---|
1169 | add_translates |
---|
1170 | [translate_op2 (AST.Op_cmpu AST.Cmp_lt) destrs srcrs1 srcrs2 ; |
---|
1171 | translate_op1 AST.Op_notbool destrs destrs] |
---|
1172 | start_lbl dest_lbl def |
---|
1173 | |
---|
1174 | | AST.Op_cmp cmp, _, _, _ -> |
---|
1175 | let (def, tmprs1) = fresh_regs def (List.length srcrs1) in |
---|
1176 | let (def, tmprs2) = fresh_regs def (List.length srcrs2) in |
---|
1177 | add_translates |
---|
1178 | [translate_cst (AST.Cst_int 128) tmprs1 ; |
---|
1179 | translate_cst (AST.Cst_int 128) tmprs2 ; |
---|
1180 | translate_op2 AST.Op_add tmprs1 srcrs1 tmprs1 ; |
---|
1181 | translate_op2 AST.Op_add tmprs2 srcrs2 tmprs2 ; |
---|
1182 | translate_op2 (AST.Op_cmpu cmp) destrs tmprs1 tmprs2] |
---|
1183 | start_lbl dest_lbl def |
---|
1184 | |
---|
1185 | | AST.Op_cmpp AST.Cmp_eq, [destr], [srcr11 ; srcr12], [srcr21 ; srcr22] -> |
---|
1186 | let (def, tmpr) = fresh_reg def in |
---|
1187 | add_translates |
---|
1188 | [translate_op2 (AST.Op_cmpu AST.Cmp_ne) [tmpr] [srcr11] [srcr21] ; |
---|
1189 | translate_op2 (AST.Op_cmpu AST.Cmp_ne) [destr] [srcr21] [srcr22] ; |
---|
1190 | translate_op2 AST.Op_or [destr] [destr] [tmpr] ; |
---|
1191 | adds_graph [RTL.St_int (tmpr, 1, start_lbl)] ; |
---|
1192 | translate_op2 AST.Op_xor [destr] [destr] [tmpr]] |
---|
1193 | start_lbl dest_lbl def |
---|
1194 | |
---|
1195 | | AST.Op_cmpp AST.Cmp_lt, [destr], [srcr11 ; srcr12], [srcr21 ; srcr22] -> |
---|
1196 | let (def, tmpr1) = fresh_reg def in |
---|
1197 | let (def, tmpr2) = fresh_reg def in |
---|
1198 | add_translates |
---|
1199 | [translate_op2 (AST.Op_cmpu AST.Cmp_lt) [tmpr1] [srcr12] [srcr22] ; |
---|
1200 | translate_op2 (AST.Op_cmpu AST.Cmp_eq) [tmpr2] [srcr12] [srcr22] ; |
---|
1201 | translate_op2 (AST.Op_cmpu AST.Cmp_lt) [destr] [srcr11] [srcr21] ; |
---|
1202 | translate_op2 AST.Op_and [tmpr2] [tmpr2] [destr] ; |
---|
1203 | translate_op2 AST.Op_or [destr] [tmpr1] [tmpr2]] |
---|
1204 | start_lbl dest_lbl def |
---|
1205 | |
---|
1206 | | AST.Op_cmpp AST.Cmp_gt, _, _, _ -> |
---|
1207 | translate_op2 (AST.Op_cmpp AST.Cmp_lt) |
---|
1208 | destrs srcrs2 srcrs1 start_lbl dest_lbl def |
---|
1209 | |
---|
1210 | | AST.Op_cmpp AST.Cmp_le, _, _, _ -> |
---|
1211 | add_translates |
---|
1212 | [translate_op2 (AST.Op_cmpp AST.Cmp_gt) destrs srcrs1 srcrs2 ; |
---|
1213 | translate_op1 AST.Op_notbool destrs destrs] |
---|
1214 | start_lbl dest_lbl def |
---|
1215 | |
---|
1216 | | AST.Op_cmpp AST.Cmp_ge, _, _, _ -> |
---|
1217 | add_translates |
---|
1218 | [translate_op2 (AST.Op_cmpp AST.Cmp_lt) destrs srcrs1 srcrs2 ; |
---|
1219 | translate_op1 AST.Op_notbool destrs destrs] |
---|
1220 | start_lbl dest_lbl def |
---|
1221 | |
---|
1222 | | _ -> assert false (* wrong number of arguments *) |
---|
1223 | *) |
---|
1224 | |
---|
1225 | definition translate_condcst ≝ |
---|
1226 | λcst. |
---|
1227 | λstart_lbl: label. |
---|
1228 | λlbl_true: label. |
---|
1229 | λlbl_false: label. |
---|
1230 | λdef. |
---|
1231 | match cst with |
---|
1232 | [ cast_int i ⇒ |
---|
1233 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1234 | adds_graph [ |
---|
1235 | rtl_st_int tmpr i start_lbl; |
---|
1236 | rtl_st_cond_acc tmpr lbl_true lbl_false |
---|
1237 | ] start_lbl start_lbl def |
---|
1238 | | cast_addr_symbol x ⇒ |
---|
1239 | let 〈def, r1〉 ≝ fresh_reg def in |
---|
1240 | let 〈def, r2〉 ≝ fresh_reg def in |
---|
1241 | let lbl ≝ fresh_label def in |
---|
1242 | match lbl with |
---|
1243 | [ None ⇒ None ? |
---|
1244 | | Some lbl ⇒ |
---|
1245 | let def ≝ add_graph start_lbl (rtl_st_addr r1 r2 x lbl) def in |
---|
1246 | translate_condptr r1 r2 lbl lbl_true lbl_false def |
---|
1247 | ] |
---|
1248 | | cast_stack_offset off ⇒ |
---|
1249 | let 〈def, r1〉 ≝ fresh_reg def in |
---|
1250 | let 〈def, r2〉 ≝ fresh_reg def in |
---|
1251 | let tmp_lbl ≝ fresh_label def in |
---|
1252 | match tmp_lbl with |
---|
1253 | [ None ⇒ None ? |
---|
1254 | | Some tmp_lbl ⇒ |
---|
1255 | let def ≝ translate_cst (cast_stack_offset off) [r1; r2] start_lbl tmp_lbl def in |
---|
1256 | match def with |
---|
1257 | [ None ⇒ None ? |
---|
1258 | | Some def ⇒ translate_condptr r1 r2 tmp_lbl lbl_true lbl_false def |
---|
1259 | ] |
---|
1260 | ] |
---|
1261 | | cast_float f ⇒ None ? (* error_float *) |
---|
1262 | ]. |
---|
1263 | |
---|
1264 | definition size_of_op1_ret ≝ |
---|
1265 | λop. |
---|
1266 | match op with |
---|
1267 | [ op_cast8_unsigned ⇒ Some ? 1 |
---|
1268 | | op_cast8_signed ⇒ Some ? 1 |
---|
1269 | | op_cast16_unsigned ⇒ Some ? 1 |
---|
1270 | | op_cast16_signed ⇒ Some ? 1 |
---|
1271 | | op_neg_int ⇒ Some ? 1 |
---|
1272 | | op_not_int ⇒ Some ? 1 |
---|
1273 | | op_int_of_ptr ⇒ Some ? 1 |
---|
1274 | | op_ptr_of_int ⇒ Some ? 2 |
---|
1275 | | op_id ⇒ None ? (* invalid_argument *) |
---|
1276 | | _ ⇒ None ? (* error_float *) |
---|
1277 | ]. |
---|
1278 | |
---|
1279 | definition translate_cond1 ≝ |
---|
1280 | λop1. |
---|
1281 | λsrcrs: list register. |
---|
1282 | λstart_lbl: label. |
---|
1283 | λlbl_true: label. |
---|
1284 | λlbl_false: label. |
---|
1285 | λdef. |
---|
1286 | match op1 with |
---|
1287 | [ op_id ⇒ |
---|
1288 | let srcr ≝ extract_singleton ? srcrs in |
---|
1289 | match srcr with |
---|
1290 | [ None ⇒ |
---|
1291 | let srcr12 ≝ extract_pair ? srcrs in |
---|
1292 | match srcr12 with |
---|
1293 | [ None ⇒ None ? |
---|
1294 | | Some srcr12 ⇒ |
---|
1295 | let 〈srcr1, srcr2〉 ≝ srcr12 in |
---|
1296 | translate_condptr srcr1 srcr2 start_lbl lbl_true lbl_false def |
---|
1297 | ] |
---|
1298 | | Some srcr ⇒ |
---|
1299 | adds_graph [ |
---|
1300 | rtl_st_cond_acc srcr lbl_true lbl_false |
---|
1301 | ] start_lbl start_lbl def |
---|
1302 | ] |
---|
1303 | | _ ⇒ |
---|
1304 | let size ≝ size_of_op1_ret op1 in |
---|
1305 | match size with |
---|
1306 | [ None ⇒ None ? |
---|
1307 | | Some size ⇒ |
---|
1308 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1309 | let lbl ≝ fresh_label def in |
---|
1310 | match lbl with |
---|
1311 | [ None ⇒ None ? |
---|
1312 | | Some lbl ⇒ |
---|
1313 | let def ≝ translate_op1 op1 destrs srcrs start_lbl lbl def in |
---|
1314 | match def with |
---|
1315 | [ None ⇒ None ? |
---|
1316 | | Some def ⇒ |
---|
1317 | let destr ≝ extract_singleton ? destrs in |
---|
1318 | match destr with |
---|
1319 | [ None ⇒ |
---|
1320 | let destr12 ≝ extract_pair ? destrs in |
---|
1321 | match destr12 with |
---|
1322 | [ None ⇒ None ? |
---|
1323 | | Some destr12 ⇒ |
---|
1324 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1325 | translate_condptr destr1 destr2 start_lbl lbl_true lbl_false def |
---|
1326 | ] |
---|
1327 | | Some destr ⇒ |
---|
1328 | adds_graph [ |
---|
1329 | rtl_st_cond_acc destr lbl_true lbl_false |
---|
1330 | ] start_lbl start_lbl def |
---|
1331 | ] |
---|
1332 | ] |
---|
1333 | ] |
---|
1334 | ] |
---|
1335 | ]. |
---|
1336 | |
---|
1337 | definition size_of_op2_ret ≝ |
---|
1338 | λn: nat. |
---|
1339 | λop2. |
---|
1340 | match op2 with |
---|
1341 | [ op_add ⇒ Some ? 1 |
---|
1342 | | op_sub ⇒ Some ? 1 |
---|
1343 | | op_mul ⇒ Some ? 1 |
---|
1344 | | op_div ⇒ Some ? 1 |
---|
1345 | | op_divu ⇒ Some ? 1 |
---|
1346 | | op_mod ⇒ Some ? 1 |
---|
1347 | | op_modu ⇒ Some ? 1 |
---|
1348 | | op_and ⇒ Some ? 1 |
---|
1349 | | op_or ⇒ Some ? 1 |
---|
1350 | | op_xor ⇒ Some ? 1 |
---|
1351 | | op_shl ⇒ Some ? 1 |
---|
1352 | | op_shr ⇒ Some ? 1 |
---|
1353 | | op_shru ⇒ Some ? 1 |
---|
1354 | | op_cmp _ ⇒ Some ? 1 |
---|
1355 | | op_cmpu _ ⇒ Some ? 1 |
---|
1356 | | op_cmpp _ ⇒ Some ? 1 |
---|
1357 | | op_addp ⇒ Some ? 2 |
---|
1358 | | op_subp ⇒ |
---|
1359 | if eq_nat n 4 then |
---|
1360 | Some ? 1 |
---|
1361 | else |
---|
1362 | Some ? 2 |
---|
1363 | | _ ⇒ None ? (* error_float *) |
---|
1364 | ]. |
---|
1365 | |
---|
1366 | axiom translate_op2: |
---|
1367 | op2 → list register → list register → list register → label → label → rtl_internal_function → option rtl_internal_function. |
---|
1368 | |
---|
1369 | definition translate_cond2 ≝ |
---|
1370 | λop2. |
---|
1371 | λsrcrs1: list register. |
---|
1372 | λsrcrs2: list register. |
---|
1373 | λstart_lbl: label. |
---|
1374 | λlbl_true: label. |
---|
1375 | λlbl_false: label. |
---|
1376 | λdef. |
---|
1377 | match op2 with |
---|
1378 | [ op_cmp cmp ⇒ |
---|
1379 | match cmp with |
---|
1380 | [ Compare_Equal ⇒ |
---|
1381 | let srcr1 ≝ extract_singleton ? srcrs1 in |
---|
1382 | match srcr1 with |
---|
1383 | [ None ⇒ None ? |
---|
1384 | | Some srcr1 ⇒ |
---|
1385 | let srcr2 ≝ extract_singleton ? srcrs2 in |
---|
1386 | match srcr2 with |
---|
1387 | [ None ⇒ None ? |
---|
1388 | | Some srcr2 ⇒ |
---|
1389 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1390 | adds_graph [ |
---|
1391 | rtl_st_clear_carry start_lbl; |
---|
1392 | rtl_st_op2 Sub tmpr srcr1 srcr2 start_lbl; |
---|
1393 | rtl_st_cond_acc tmpr lbl_false lbl_true |
---|
1394 | ] start_lbl start_lbl def |
---|
1395 | ] |
---|
1396 | ] |
---|
1397 | | _ ⇒ |
---|
1398 | let n ≝ length ? srcrs1 + length ? srcrs2 in |
---|
1399 | match size_of_op2_ret n op2 with |
---|
1400 | [ None ⇒ None ? |
---|
1401 | | Some size ⇒ |
---|
1402 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1403 | let lbl ≝ fresh_label def in |
---|
1404 | match lbl with |
---|
1405 | [ None ⇒ None ? |
---|
1406 | | Some lbl ⇒ |
---|
1407 | match translate_op2 op2 destrs srcrs1 srcrs2 start_lbl lbl def with |
---|
1408 | [ None ⇒ None ? |
---|
1409 | | Some def ⇒ translate_cond1 op_id destrs lbl lbl_true lbl_false def |
---|
1410 | ] |
---|
1411 | ] |
---|
1412 | ] |
---|
1413 | ] |
---|
1414 | | _ ⇒ |
---|
1415 | let n ≝ length ? srcrs1 + length ? srcrs2 in |
---|
1416 | match size_of_op2_ret n op2 with |
---|
1417 | [ None ⇒ None ? |
---|
1418 | | Some size ⇒ |
---|
1419 | let 〈def, destrs〉 ≝ fresh_regs def size in |
---|
1420 | let lbl ≝ fresh_label def in |
---|
1421 | match lbl with |
---|
1422 | [ None ⇒ None ? |
---|
1423 | | Some lbl ⇒ |
---|
1424 | match translate_op2 op2 destrs srcrs1 srcrs2 start_lbl lbl def with |
---|
1425 | [ None ⇒ None ? |
---|
1426 | | Some def ⇒ translate_cond1 op_id destrs lbl lbl_true lbl_false def |
---|
1427 | ] |
---|
1428 | ] |
---|
1429 | ] |
---|
1430 | ]. |
---|
1431 | |
---|
1432 | let rec addressing_pointer (mode: ?) (args: ?) (destr1: ?) |
---|
1433 | (destr2: ?) (start_lbl: label) |
---|
1434 | (dest_lbl: label) (def: rtl_internal_function) ≝ |
---|
1435 | let destrs ≝ [ destr1; destr2 ] in |
---|
1436 | match mode with |
---|
1437 | [ Aindexed off ⇒ |
---|
1438 | let srcr12 ≝ extract_singleton ? args in |
---|
1439 | match srcr12 with |
---|
1440 | [ None ⇒ None ? |
---|
1441 | | Some srcr12 ⇒ |
---|
1442 | let srcr12 ≝ extract_pair ? srcr12 in |
---|
1443 | match srcr12 with |
---|
1444 | [ None ⇒ None ? |
---|
1445 | | Some srcr12 ⇒ |
---|
1446 | let 〈srcr1, srcr2〉 ≝ srcr12 in |
---|
1447 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1448 | add_translates [ |
---|
1449 | adds_graph [ |
---|
1450 | rtl_st_int tmpr off start_lbl |
---|
1451 | ]; |
---|
1452 | translate_op2 op_addp destrs [ srcr1 ; srcr2 ] [tmpr] |
---|
1453 | ] start_lbl dest_lbl def |
---|
1454 | ] |
---|
1455 | ] |
---|
1456 | | Aindexed2 ⇒ |
---|
1457 | let args_pair ≝ extract_pair ? args in |
---|
1458 | match args_pair with |
---|
1459 | [ None ⇒ None ? |
---|
1460 | | Some args_pair ⇒ |
---|
1461 | let 〈lft, rgt〉 ≝ args_pair in |
---|
1462 | let srcr1112 ≝ extract_pair ? lft in |
---|
1463 | let srcr2 ≝ extract_singleton ? rgt in |
---|
1464 | match srcr1112 with |
---|
1465 | [ None ⇒ |
---|
1466 | let srcr2 ≝ extract_singleton ? rgt in |
---|
1467 | let srcr1112 ≝ extract_pair ? lft in |
---|
1468 | match srcr2 with |
---|
1469 | [ None ⇒ None ? |
---|
1470 | | Some srcr2 ⇒ |
---|
1471 | match srcr1112 with |
---|
1472 | [ None ⇒ None ? |
---|
1473 | | Some srcr1112 ⇒ |
---|
1474 | let 〈srcr11, srcr12〉 ≝ srcr1112 in |
---|
1475 | translate_op2 op_addp destrs [ srcr11; srcr12 ] [ srcr2 ] start_lbl dest_lbl def |
---|
1476 | ] |
---|
1477 | ] |
---|
1478 | | Some srcr1112 ⇒ |
---|
1479 | let 〈srcr11, srcr12〉 ≝ srcr1112 in |
---|
1480 | match srcr2 with |
---|
1481 | [ None ⇒ None ? |
---|
1482 | | Some srcr2 ⇒ |
---|
1483 | translate_op2 op_addp destrs [ srcr11; srcr12 ] [ srcr2 ] start_lbl dest_lbl def |
---|
1484 | ] |
---|
1485 | ] |
---|
1486 | ] |
---|
1487 | | Aglobal x off ⇒ |
---|
1488 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1489 | add_translates [ |
---|
1490 | adds_graph [ |
---|
1491 | rtl_st_int tmpr off start_lbl; |
---|
1492 | rtl_st_addr destr1 destr2 x start_lbl |
---|
1493 | ]; |
---|
1494 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1495 | ] start_lbl dest_lbl def |
---|
1496 | | Abased x off ⇒ |
---|
1497 | let srcrs ≝ extract_singleton ? args in |
---|
1498 | match srcrs with |
---|
1499 | [ None ⇒ None ? |
---|
1500 | | Some srcrs ⇒ |
---|
1501 | let 〈def, tmpr1〉 ≝ fresh_reg def in |
---|
1502 | let 〈def, tmpr2〉 ≝ fresh_reg def in |
---|
1503 | (* mode, args, destr1, destr2, start_lbl, dest_lbl, def *) |
---|
1504 | (* addressing_pointer (Aglobal x off) [ ] tmpr1 tmpr2; *) |
---|
1505 | let address_unfold ≝ |
---|
1506 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1507 | add_translates [ |
---|
1508 | adds_graph [ |
---|
1509 | rtl_st_int tmpr off start_lbl; |
---|
1510 | rtl_st_addr tmpr1 tmpr2 x start_lbl |
---|
1511 | ]; |
---|
1512 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1513 | ] |
---|
1514 | in |
---|
1515 | add_translates [ |
---|
1516 | address_unfold; |
---|
1517 | translate_op2 op_addp destrs [ tmpr1; tmpr2 ] srcrs |
---|
1518 | ] start_lbl dest_lbl def |
---|
1519 | ] |
---|
1520 | | Ainstack off ⇒ |
---|
1521 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1522 | add_translates [ |
---|
1523 | adds_graph [ |
---|
1524 | rtl_st_int tmpr off start_lbl; |
---|
1525 | rtl_st_stack_addr destr1 destr2 start_lbl |
---|
1526 | ]; |
---|
1527 | translate_op2 op_addp destrs destrs [ tmpr ] |
---|
1528 | ] start_lbl dest_lbl def |
---|
1529 | | _ ⇒ None ? (* wrong number of arguments *) |
---|
1530 | ]. |
---|
1531 | |
---|
1532 | definition translate_load ≝ |
---|
1533 | λq. |
---|
1534 | λmode. |
---|
1535 | λargs. |
---|
1536 | λdestrs. |
---|
1537 | λstart_lbl: label. |
---|
1538 | λdest_lbl: label. |
---|
1539 | λdef. |
---|
1540 | match q with |
---|
1541 | [ q_int b ⇒ |
---|
1542 | if eq_bv ? b (bitvector_of_nat ? 1) then |
---|
1543 | match extract_singleton ? destrs with |
---|
1544 | [ None ⇒ None ? (* error: size error in load *) |
---|
1545 | | Some destr ⇒ |
---|
1546 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
1547 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
1548 | Some ? (add_translates [ |
---|
1549 | addressing_pointer mode args addr1 addr2; |
---|
1550 | adds_graph [ |
---|
1551 | rtl_st_load destr addr1 addr2 start_lbl |
---|
1552 | ] |
---|
1553 | ] start_lbl dest_lbl def) |
---|
1554 | ] |
---|
1555 | else |
---|
1556 | None ? (* error: size error in load *) |
---|
1557 | | q_ptr ⇒ |
---|
1558 | match extract_pair ? destrs with |
---|
1559 | [ None ⇒ None ? (* error: size error in load *) |
---|
1560 | | Some destr12 ⇒ |
---|
1561 | let 〈destr1, destr2〉 ≝ destr12 in |
---|
1562 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
1563 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
1564 | let addr ≝ [ addr1; addr2 ] in |
---|
1565 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1566 | Some ? ( |
---|
1567 | add_translates [ |
---|
1568 | addressing_pointer mode args addr1 addr2; |
---|
1569 | adds_graph [ |
---|
1570 | rtl_st_load destr1 addr1 addr2 start_lbl; |
---|
1571 | rtl_st_int tmpr (bitvector_of_nat ? 1) start_lbl |
---|
1572 | ]; |
---|
1573 | translate_op2 op_addp addr addr [ tmpr ]; |
---|
1574 | adds_graph [ |
---|
1575 | rtl_st_load destr2 addr1 addr2 start_lbl |
---|
1576 | ] |
---|
1577 | ] start_lbl dest_lbl def |
---|
1578 | ) |
---|
1579 | ] |
---|
1580 | | _ ⇒ None ? (* error: size error in load *) |
---|
1581 | ]. |
---|
1582 | |
---|
1583 | definition make_addr ≝ |
---|
1584 | λA: Type[0]. |
---|
1585 | λlst: list A. |
---|
1586 | match lst with |
---|
1587 | [ cons hd tl ⇒ |
---|
1588 | match tl with |
---|
1589 | [ cons hd' tl' ⇒ Some ? 〈hd, hd'〉 |
---|
1590 | | _ ⇒ None ? (* do not use on these arguments *) |
---|
1591 | ] |
---|
1592 | | _ ⇒ None ? (* do not use on these arguments *) |
---|
1593 | ]. |
---|
1594 | |
---|
1595 | definition translate_store_internal ≝ |
---|
1596 | λaddr. |
---|
1597 | λtmp_addr. |
---|
1598 | λtmpr. |
---|
1599 | λstart_lbl. |
---|
1600 | λdest_lbl. |
---|
1601 | λtmp_addr1. |
---|
1602 | λtmp_addr2. |
---|
1603 | λtranslates_off. |
---|
1604 | λsrcr. |
---|
1605 | let 〈translates, off〉 ≝ translates_off in |
---|
1606 | let translates ≝ translates @ |
---|
1607 | [ adds_graph [ |
---|
1608 | rtl_st_int tmpr off start_lbl |
---|
1609 | ]; |
---|
1610 | translate_op2 op_addp tmp_addr addr [ tmpr ]; |
---|
1611 | adds_graph [ |
---|
1612 | rtl_st_store tmp_addr1 tmp_addr2 srcr dest_lbl |
---|
1613 | ] |
---|
1614 | ] |
---|
1615 | in |
---|
1616 | let 〈ignore, result〉 ≝ half_add ? off int_size in |
---|
1617 | 〈translates, result〉. |
---|
1618 | |
---|
1619 | definition translate_store ≝ |
---|
1620 | λaddr. |
---|
1621 | λsrcrs. |
---|
1622 | λstart_lbl. |
---|
1623 | λdest_lbl. |
---|
1624 | λdef. |
---|
1625 | let 〈def, tmp_addr〉 ≝ fresh_regs def (length ? addr) in |
---|
1626 | match make_addr ? tmp_addr with |
---|
1627 | [ None ⇒ None ? |
---|
1628 | | Some tmp_addr12 ⇒ |
---|
1629 | let 〈tmp_addr1, tmp_addr2〉 ≝ tmp_addr12 in |
---|
1630 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
1631 | let f ≝ translate_store_internal addr tmp_addr tmpr start_lbl dest_lbl tmp_addr1 tmp_addr2 in |
---|
1632 | let 〈translates, ignore〉 ≝ foldl ? ? f 〈[], zero ?〉 srcrs in |
---|
1633 | add_translates translates start_lbl dest_lbl def |
---|
1634 | ]. |
---|
1635 | |
---|
1636 | definition translate_stmt ≝ |
---|
1637 | λlenv. |
---|
1638 | λlbl. |
---|
1639 | λstmt. |
---|
1640 | λdef. |
---|
1641 | match stmt with |
---|
1642 | [ St_skip lbl' ⇒ add_graph lbl (rtl_st_skip lbl') def |
---|
1643 | | St_cost cost_lbl lbl' ⇒ add_graph lbl (rtl_st_cost cost_lbl lbl') def |
---|
1644 | | St_cast destr cst lbl' ⇒ |
---|
1645 | translate_cst cst (find_local_env destr lenv) lbl lbl' def |
---|
1646 | | _ ⇒ ? |
---|
1647 | ]. |
---|
1648 | |
---|
1649 | let translate_stmt lenv lbl stmt def = match stmt with |
---|
1650 | |
---|
1651 | | RTLabs.St_skip lbl' -> |
---|
1652 | add_graph lbl (RTL.St_skip lbl') def |
---|
1653 | |
---|
1654 | | RTLabs.St_cost (cost_lbl, lbl') -> |
---|
1655 | add_graph lbl (RTL.St_cost (cost_lbl, lbl')) def |
---|
1656 | |
---|
1657 | | RTLabs.St_cst (destr, cst, lbl') -> |
---|
1658 | translate_cst cst (find_local_env destr lenv) lbl lbl' def |
---|
1659 | |
---|
1660 | | RTLabs.St_op1 (op1, destr, srcr, lbl') -> |
---|
1661 | translate_op1 op1 (find_local_env destr lenv) (find_local_env srcr lenv) |
---|
1662 | lbl lbl' def |
---|
1663 | |
---|
1664 | | RTLabs.St_op2 (op2, destr, srcr1, srcr2, lbl') -> |
---|
1665 | translate_op2 op2 (find_local_env destr lenv) |
---|
1666 | (find_local_env srcr1 lenv) (find_local_env srcr2 lenv) lbl lbl' def |
---|
1667 | |
---|
1668 | | RTLabs.St_load (_, addr, destr, lbl') -> |
---|
1669 | translate_load (find_local_env addr lenv) (find_local_env destr lenv) |
---|
1670 | lbl lbl' def |
---|
1671 | |
---|
1672 | | RTLabs.St_store (_, addr, srcr, lbl') -> |
---|
1673 | translate_store (find_local_env addr lenv) (find_local_env srcr lenv) |
---|
1674 | lbl lbl' def |
---|
1675 | |
---|
1676 | | RTLabs.St_call_id (f, args, None, _, lbl') -> |
---|
1677 | add_graph lbl (RTL.St_call_id (f, rtl_args args lenv, [], lbl')) def |
---|
1678 | |
---|
1679 | | RTLabs.St_call_id (f, args, Some retr, _, lbl') -> |
---|
1680 | add_graph lbl (RTL.St_call_id (f, rtl_args args lenv, |
---|
1681 | find_local_env retr lenv, lbl')) def |
---|
1682 | |
---|
1683 | | RTLabs.St_call_ptr (f, args, None, _, lbl') -> |
---|
1684 | let (f1, f2) = find_and_addr f lenv in |
---|
1685 | add_graph lbl (RTL.St_call_ptr (f1, f2, rtl_args args lenv, [], lbl')) def |
---|
1686 | |
---|
1687 | | RTLabs.St_call_ptr (f, args, Some retr, _, lbl') -> |
---|
1688 | let (f1, f2) = find_and_addr f lenv in |
---|
1689 | add_graph lbl |
---|
1690 | (RTL.St_call_ptr |
---|
1691 | (f1, f2, rtl_args args lenv, find_local_env retr lenv, lbl')) def |
---|
1692 | |
---|
1693 | | RTLabs.St_tailcall_id (f, args, _) -> |
---|
1694 | add_graph lbl (RTL.St_tailcall_id (f, rtl_args args lenv)) def |
---|
1695 | |
---|
1696 | | RTLabs.St_tailcall_ptr (f, args, _) -> |
---|
1697 | let (f1, f2) = find_and_addr f lenv in |
---|
1698 | add_graph lbl (RTL.St_tailcall_ptr (f1, f2, rtl_args args lenv)) def |
---|
1699 | |
---|
1700 | | RTLabs.St_cond (r, lbl_true, lbl_false) -> |
---|
1701 | translate_cond (find_local_env r lenv) lbl lbl_true lbl_false def |
---|
1702 | |
---|
1703 | | RTLabs.St_jumptable _ -> |
---|
1704 | error "Jump tables not supported yet." |
---|
1705 | |
---|
1706 | | RTLabs.St_return None -> |
---|
1707 | add_graph lbl (RTL.St_return []) def |
---|
1708 | |
---|
1709 | | RTLabs.St_return (Some r) -> |
---|
1710 | add_graph lbl (RTL.St_return (find_local_env r lenv)) def |
---|