1 | include "RTL/RTL.ma". |
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2 | include "utilities/RegisterSet.ma". |
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3 | include "common/Identifiers.ma". |
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4 | include "ERTL/ERTL.ma". |
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5 | |
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6 | definition change_exit_label ≝ |
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7 | λl: label. |
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8 | λp: ertl_internal_function. |
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9 | λprf: lookup ? ? (ertl_if_graph p) l ≠ None ?. |
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10 | let ertl_if_luniverse' ≝ ertl_if_luniverse p in |
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11 | let ertl_if_runiverse' ≝ ertl_if_runiverse p in |
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12 | let ertl_if_params' ≝ ertl_if_params p in |
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13 | let ertl_if_locals' ≝ ertl_if_locals p in |
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14 | let ertl_if_stacksize' ≝ ertl_if_stacksize p in |
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15 | let ertl_if_graph' ≝ ertl_if_graph p in |
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16 | let ertl_if_entry' ≝ ertl_if_entry p in |
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17 | let ertl_if_exit' ≝ l in |
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18 | mk_ertl_internal_function ertl_if_luniverse' ertl_if_runiverse' |
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19 | ertl_if_params' ertl_if_locals' ertl_if_stacksize' |
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20 | ertl_if_graph' ertl_if_entry' ertl_if_exit'. |
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21 | @prf |
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22 | qed. |
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23 | |
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24 | definition change_entry_label ≝ |
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25 | λl: label. |
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26 | λp: ertl_internal_function. |
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27 | λprf: lookup ? ? (ertl_if_graph p) l ≠ None ?. |
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28 | let ertl_if_luniverse' ≝ ertl_if_luniverse p in |
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29 | let ertl_if_runiverse' ≝ ertl_if_runiverse p in |
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30 | let ertl_if_params' ≝ ertl_if_params p in |
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31 | let ertl_if_locals' ≝ ertl_if_locals p in |
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32 | let ertl_if_stacksize' ≝ ertl_if_stacksize p in |
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33 | let ertl_if_graph' ≝ ertl_if_graph p in |
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34 | let ertl_if_entry' ≝ l in |
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35 | let ertl_if_exit' ≝ ertl_if_exit p in |
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36 | mk_ertl_internal_function ertl_if_luniverse' ertl_if_runiverse' |
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37 | ertl_if_params' ertl_if_locals' ertl_if_stacksize' |
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38 | ertl_if_graph' ertl_if_entry' ertl_if_exit'. |
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39 | @prf |
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40 | qed. |
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41 | |
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42 | definition add_graph ≝ |
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43 | λl: label. |
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44 | λstmt. |
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45 | λp. |
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46 | let ertl_if_luniverse' ≝ ertl_if_luniverse p in |
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47 | let ertl_if_runiverse' ≝ ertl_if_runiverse p in |
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48 | let ertl_if_params' ≝ ertl_if_params p in |
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49 | let ertl_if_locals' ≝ ertl_if_locals p in |
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50 | let ertl_if_stacksize' ≝ ertl_if_stacksize p in |
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51 | let ertl_if_graph' ≝ add ? ? (ertl_if_graph p) l stmt in |
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52 | let ertl_if_entry' ≝ ertl_if_entry p in |
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53 | let ertl_if_exit' ≝ ertl_if_exit p in |
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54 | mk_ertl_internal_function ertl_if_luniverse' ertl_if_runiverse' |
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55 | ertl_if_params' ertl_if_locals' ertl_if_stacksize' |
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56 | ertl_if_graph' ? ?. |
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57 | normalize nodelta; |
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58 | [1: generalize in match ertl_if_entry'; |
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59 | #HYP |
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60 | cases HYP |
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61 | #LBL #LBL_PRF |
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62 | % |
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63 | [1: @LBL |
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64 | |2: @graph_add_lookup |
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65 | @LBL_PRF |
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66 | ] |
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67 | |2: generalize in match ertl_if_exit'; |
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68 | #HYP |
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69 | cases HYP |
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70 | #LBL #LBL_PRF |
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71 | % |
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72 | [1: @LBL |
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73 | |2: @graph_add_lookup |
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74 | @LBL_PRF |
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75 | ] |
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76 | ] |
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77 | qed. |
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78 | |
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79 | definition fresh_label ≝ |
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80 | λdef. |
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81 | fresh LabelTag (ertl_if_luniverse def). |
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82 | |
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83 | definition change_label ≝ |
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84 | λl. |
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85 | λe: ertl_statement. |
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86 | match e with |
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87 | [ ertl_st_skip _ ⇒ ertl_st_skip l |
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88 | | ertl_st_comment s _ ⇒ ertl_st_comment s l |
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89 | | ertl_st_cost c _ ⇒ ertl_st_cost c l |
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90 | | ertl_st_get_hdw r1 r2 _ ⇒ ertl_st_get_hdw r1 r2 l |
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91 | | ertl_st_set_hdw r1 r2 _ ⇒ ertl_st_set_hdw r1 r2 l |
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92 | | ertl_st_hdw_to_hdw r1 r2 _ ⇒ ertl_st_hdw_to_hdw r1 r2 l |
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93 | | ertl_st_new_frame _ ⇒ ertl_st_new_frame l |
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94 | | ertl_st_del_frame _ ⇒ ertl_st_del_frame l |
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95 | | ertl_st_frame_size r _ ⇒ ertl_st_frame_size r l |
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96 | | ertl_st_pop r _ ⇒ ertl_st_pop r l |
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97 | | ertl_st_push r _ ⇒ ertl_st_push r l |
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98 | | ertl_st_addr_h r id _ ⇒ ertl_st_addr_h r id l |
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99 | | ertl_st_addr_l r id _ ⇒ ertl_st_addr_l r id l |
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100 | | ertl_st_int r i _ ⇒ ertl_st_int r i l |
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101 | | ertl_st_move r1 r2 _ ⇒ ertl_st_move r1 r2 l |
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102 | | ertl_st_opaccs_a opaccs d s1 s2 _ ⇒ ertl_st_opaccs_a opaccs d s1 s2 l |
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103 | | ertl_st_opaccs_b opaccs d s1 s2 _ ⇒ ertl_st_opaccs_b opaccs d s1 s2 l |
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104 | | ertl_st_op1 op1 d s1 _ ⇒ ertl_st_op1 op1 d s1 l |
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105 | | ertl_st_op2 op2 d s1 s2 _ ⇒ ertl_st_op2 op2 d s1 s2 l |
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106 | | ertl_st_clear_carry _ ⇒ ertl_st_clear_carry l |
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107 | | ertl_st_set_carry _ ⇒ ertl_st_set_carry l |
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108 | | ertl_st_load d a1 a2 _ ⇒ ertl_st_load d a1 a2 l |
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109 | | ertl_st_store a1 a2 s _ ⇒ ertl_st_store a1 a2 s l |
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110 | | ertl_st_call_id f args _ ⇒ ertl_st_call_id f args l |
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111 | | ertl_st_cond a i1 i2 ⇒ ertl_st_cond a i1 i2 |
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112 | | ertl_st_return ⇒ ertl_st_return |
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113 | ]. |
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114 | |
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115 | let rec adds_graph |
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116 | (stmt_list: list ertl_statement) (start_lbl: label) |
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117 | (dest_lbl: label) (def: ertl_internal_function) |
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118 | on stmt_list ≝ |
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119 | match stmt_list with |
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120 | [ nil ⇒ add_graph start_lbl (ertl_st_skip dest_lbl) def |
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121 | | cons stmt stmt_list ⇒ |
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122 | match stmt_list with |
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123 | [ nil ⇒ add_graph start_lbl (change_label dest_lbl stmt) def |
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124 | | _ ⇒ |
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125 | let 〈tmp_lbl, nuniv〉 ≝ fresh_label def in |
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126 | let stmt ≝ change_label tmp_lbl stmt in |
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127 | let def ≝ add_graph start_lbl stmt def in |
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128 | adds_graph stmt_list tmp_lbl dest_lbl def |
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129 | ] |
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130 | ]. |
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131 | |
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132 | let rec add_translates |
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133 | (translate_list: list ?) (start_lbl: label) (dest_lbl: label) |
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134 | (def: ertl_internal_function) |
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135 | on translate_list ≝ |
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136 | match translate_list with |
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137 | [ nil ⇒ add_graph start_lbl (ertl_st_skip dest_lbl) def |
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138 | | cons trans translate_list ⇒ |
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139 | match translate_list with |
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140 | [ nil ⇒ trans start_lbl dest_lbl def |
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141 | | _ ⇒ |
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142 | let 〈tmp_lbl, nuniv〉 ≝ fresh_label def in |
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143 | let def ≝ trans start_lbl tmp_lbl def in |
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144 | add_translates translate_list tmp_lbl dest_lbl def |
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145 | ] |
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146 | ]. |
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147 | |
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148 | axiom register_fresh: universe RegisterTag → register. |
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149 | |
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150 | definition fresh_reg: ertl_internal_function → ertl_internal_function × register ≝ |
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151 | λdef. |
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152 | let r ≝ register_fresh (ertl_if_runiverse def) in |
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153 | let locals ≝ r :: ertl_if_locals def in |
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154 | let ertl_if_luniverse' ≝ ertl_if_luniverse def in |
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155 | let ertl_if_runiverse' ≝ ertl_if_runiverse def in |
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156 | let ertl_if_params' ≝ ertl_if_params def in |
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157 | let ertl_if_locals' ≝ locals in |
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158 | let ertl_if_stacksize' ≝ ertl_if_stacksize def in |
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159 | let ertl_if_graph' ≝ ertl_if_graph def in |
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160 | let ertl_if_entry' ≝ ertl_if_entry def in |
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161 | let ertl_if_exit' ≝ ertl_if_exit def in |
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162 | 〈mk_ertl_internal_function |
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163 | ertl_if_luniverse' ertl_if_runiverse' ertl_if_params' |
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164 | ertl_if_locals' ertl_if_stacksize' ertl_if_graph' |
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165 | ertl_if_entry' ertl_if_exit', r〉. |
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166 | |
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167 | let rec fresh_regs |
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168 | (def: ertl_internal_function) (n: nat) |
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169 | on n ≝ |
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170 | match n with |
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171 | [ O ⇒ 〈def, [ ]〉 |
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172 | | S n' ⇒ |
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173 | let 〈def', regs'〉 ≝ fresh_regs def n' in |
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174 | let 〈def', reg〉 ≝ fresh_reg def' in |
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175 | 〈def', reg :: regs'〉 |
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176 | ]. |
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177 | |
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178 | axiom fresh_regs_length: |
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179 | ∀def: ertl_internal_function. |
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180 | ∀n: nat. |
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181 | |(\snd (fresh_regs def n))| = n. |
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182 | |
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183 | definition fresh_regs_strong: ? → ∀n: nat. Σregs: ertl_internal_function × (list register). |\snd regs| = n ≝ |
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184 | λdef: ertl_internal_function. |
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185 | λn: nat. |
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186 | fresh_regs def n. |
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187 | @fresh_regs_length |
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188 | qed. |
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189 | |
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190 | definition save_hdws_internal ≝ |
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191 | λdestr_srcr: register × hardware_register. |
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192 | λstart_lbl: label. |
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193 | let 〈destr, srcr〉 ≝ destr_srcr in |
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194 | adds_graph [ ertl_st_get_hdw destr srcr start_lbl ] start_lbl. |
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195 | |
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196 | definition save_hdws ≝ |
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197 | λl. |
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198 | map ? ? save_hdws_internal l. |
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199 | |
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200 | definition restore_hdws_internal ≝ |
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201 | λdestr_srcr: hardware_register × register. |
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202 | λstart_lbl: label. |
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203 | let 〈destr, srcr〉 ≝ destr_srcr in |
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204 | adds_graph [ ertl_st_set_hdw destr srcr start_lbl ] start_lbl. |
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205 | |
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206 | definition swap_components ≝ |
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207 | λA, B: Type[0]. |
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208 | λp: A × B. |
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209 | let 〈l, r〉 ≝ p in |
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210 | 〈r, l〉. |
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211 | |
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212 | definition restore_hdws ≝ |
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213 | λl. |
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214 | map ? ? restore_hdws_internal (map ? ? (swap_components ? ?) l). |
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215 | |
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216 | definition get_params_hdw_internal ≝ |
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217 | λstart_lbl: label. |
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218 | adds_graph [ ertl_st_skip start_lbl ] start_lbl. |
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219 | |
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220 | definition get_params_hdw ≝ |
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221 | λparams: list register. |
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222 | match params with |
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223 | [ nil ⇒ [get_params_hdw_internal] |
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224 | | _ ⇒ |
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225 | let l ≝ zip_pottier ? ? params parameters in |
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226 | save_hdws l |
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227 | ]. |
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228 | |
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229 | definition get_param_stack ≝ |
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230 | λoff: nat. |
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231 | λdestr. |
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232 | λstart_lbl, dest_lbl: label. |
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233 | λdef. |
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234 | let 〈def, addr1〉 ≝ fresh_reg def in |
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235 | let 〈def, addr2〉 ≝ fresh_reg def in |
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236 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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237 | let 〈carry, int_offset〉 ≝ half_add ? (bitvector_of_nat ? off) int_size in |
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238 | adds_graph [ |
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239 | ertl_st_frame_size addr1 start_lbl; |
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240 | ertl_st_int tmpr int_offset start_lbl; |
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241 | ertl_st_op2 Sub addr1 addr1 tmpr start_lbl; |
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242 | ertl_st_get_hdw tmpr RegisterSPL start_lbl; |
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243 | ertl_st_op2 Add addr1 addr1 tmpr start_lbl; |
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244 | ertl_st_int addr2 (bitvector_of_nat 8 0) start_lbl; |
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245 | ertl_st_get_hdw tmpr RegisterSPH start_lbl; |
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246 | ertl_st_op2 Addc addr2 addr2 tmpr start_lbl; |
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247 | ertl_st_load destr addr1 addr2 start_lbl |
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248 | ] start_lbl dest_lbl def. |
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249 | |
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250 | definition get_params_stack ≝ |
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251 | λparams. |
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252 | match params with |
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253 | [ nil ⇒ [ λstart_lbl. adds_graph [ertl_st_skip start_lbl] start_lbl ] |
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254 | | _ ⇒ |
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255 | let f ≝ λi. λr. get_param_stack i r in |
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256 | mapi ? ? f params |
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257 | ]. |
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258 | |
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259 | definition get_params ≝ |
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260 | λparams. |
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261 | let n ≝ min (length ? params) (length ? parameters) in |
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262 | let 〈hdw_params, stack_params〉 ≝ list_split ? n params in |
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263 | let hdw_params ≝ get_params_hdw hdw_params in |
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264 | hdw_params @ (get_params_stack stack_params). |
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265 | |
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266 | definition add_prologue ≝ |
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267 | λparams: list register. |
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268 | λsral. |
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269 | λsrah. |
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270 | λsregs. |
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271 | λdef. |
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272 | let start_lbl ≝ ertl_if_entry def in |
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273 | let 〈tmp_lbl, nuniv〉 ≝ fresh_label def in |
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274 | match lookup ? ? (ertl_if_graph def) start_lbl |
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275 | return λx. lookup ? ? (ertl_if_graph def) start_lbl ≠ None ? → ertl_internal_function with |
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276 | [ None ⇒ λnone_absrd. ? |
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277 | | Some last_stmt ⇒ λsome_prf. |
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278 | let def ≝ |
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279 | add_translates |
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280 | ((adds_graph [ |
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281 | ertl_st_new_frame start_lbl |
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282 | ]) :: |
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283 | (adds_graph [ |
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284 | ertl_st_pop sral start_lbl; |
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285 | ertl_st_pop srah start_lbl |
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286 | ]) :: |
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287 | (save_hdws sregs) @ |
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288 | (get_params params)) |
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289 | start_lbl tmp_lbl def |
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290 | in |
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291 | add_graph tmp_lbl last_stmt def |
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292 | ] ?. |
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293 | cases not_implemented (* dep. types here *) |
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294 | qed. |
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295 | |
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296 | definition save_return ≝ |
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297 | λret_regs. |
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298 | λstart_lbl: label. |
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299 | λdest_lbl: label. |
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300 | λdef: ertl_internal_function. |
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301 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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302 | match reduce_strong ? ? RegisterSTS ret_regs with |
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303 | [ dp crl crl_proof ⇒ |
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304 | let commonl ≝ \fst (\fst crl) in |
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305 | let commonr ≝ \fst (\snd crl) in |
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306 | let restl ≝ \snd (\fst crl) in |
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307 | let restr ≝ \snd (\snd crl) in |
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308 | let init_tmpr ≝ ertl_st_int tmpr (zero ?) start_lbl in |
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309 | let f_save ≝ λst. λr. ertl_st_set_hdw st r start_lbl in |
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310 | let saves ≝ map2 ? ? ? f_save commonl commonr crl_proof in |
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311 | let f_default ≝ λst. ertl_st_set_hdw st tmpr start_lbl in |
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312 | let defaults ≝ map ? ? f_default restl in |
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313 | adds_graph (init_tmpr :: saves @ defaults) start_lbl dest_lbl def |
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314 | ]. |
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315 | |
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316 | definition assign_result ≝ |
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317 | λstart_lbl: label. |
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318 | match reduce_strong ? ? RegisterRets RegisterSTS with |
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319 | [ dp crl crl_proof ⇒ |
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320 | let commonl ≝ \fst (\fst crl) in |
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321 | let commonr ≝ \fst (\snd crl) in |
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322 | let f ≝ λret. λst. ertl_st_hdw_to_hdw ret st start_lbl in |
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323 | let insts ≝ map2 ? ? ? f commonl commonr crl_proof in |
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324 | adds_graph insts start_lbl |
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325 | ]. |
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326 | |
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327 | definition add_epilogue ≝ |
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328 | λret_regs. |
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329 | λsral. |
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330 | λsrah. |
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331 | λsregs. |
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332 | λdef. |
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333 | let start_lbl ≝ ertl_if_exit def in |
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334 | let 〈tmp_lbl, nuniv〉 ≝ fresh_label def in |
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335 | match lookup ? ? (ertl_if_graph def) start_lbl |
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336 | return λx. lookup ? ? (ertl_if_graph def) start_lbl ≠ None ? → ? with |
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337 | [ None ⇒ λnone_absd. ? |
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338 | | Some last_stmt ⇒ λsome_prf. |
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339 | let def ≝ |
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340 | add_translates ( |
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341 | [save_return ret_regs] @ |
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342 | restore_hdws sregs @ |
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343 | [adds_graph [ |
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344 | ertl_st_push srah start_lbl; |
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345 | ertl_st_push sral start_lbl |
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346 | ]] @ |
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347 | [adds_graph [ |
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348 | ertl_st_del_frame start_lbl |
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349 | ]] @ |
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350 | [assign_result] |
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351 | ) start_lbl tmp_lbl def |
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352 | in |
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353 | let def ≝ add_graph tmp_lbl last_stmt def in |
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354 | change_exit_label tmp_lbl def ? |
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355 | ] ?. |
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356 | cases not_implemented (* dep types here, bug in matita too! *) |
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357 | qed. |
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358 | |
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359 | definition allocate_regs_internal ≝ |
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360 | λr: Register. |
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361 | λdef_sregs. |
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362 | let 〈def, sregs〉 ≝ def_sregs in |
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363 | let 〈def, r'〉 ≝ fresh_reg def in |
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364 | 〈def, 〈r', r〉 :: sregs〉. |
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365 | |
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366 | definition allocate_regs ≝ |
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367 | λrs. |
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368 | λsaved: rs_set rs. |
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369 | λdef. |
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370 | rs_fold ? ? allocate_regs_internal saved 〈def, [ ]〉. |
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371 | |
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372 | definition add_pro_and_epilogue ≝ |
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373 | λparams. |
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374 | λret_regs. |
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375 | λdef. |
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376 | match fresh_regs_strong def 2 with |
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377 | [ dp def_sra def_sra_proof ⇒ |
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378 | let def ≝ \fst def_sra in |
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379 | let sra ≝ \snd def_sra in |
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380 | let sral ≝ nth_safe ? 0 sra ? in |
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381 | let srah ≝ nth_safe ? 1 sra ? in |
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382 | let 〈def, sregs〉 ≝ allocate_regs register_list_set RegisterCalleeSaved def in |
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383 | let def ≝ add_prologue params sral srah sregs def in |
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384 | let def ≝ add_epilogue ret_regs sral srah sregs def in |
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385 | def |
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386 | ]. |
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387 | [1: >def_sra_proof // |
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388 | |2: >def_sra_proof // |
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389 | ] |
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390 | qed. |
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391 | |
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392 | definition set_params_hdw ≝ |
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393 | λparams. |
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394 | match params with |
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395 | [ nil ⇒ [ λstart_lbl. adds_graph [ertl_st_skip start_lbl] start_lbl] |
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396 | | _ ⇒ |
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397 | let l ≝ zip_pottier ? ? params parameters in |
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398 | restore_hdws l |
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399 | ]. |
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400 | |
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401 | definition set_param_stack ≝ |
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402 | λoff. |
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403 | λsrcr. |
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404 | λstart_lbl: label. |
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405 | λdest_lbl: label. |
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406 | λdef: ertl_internal_function. |
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407 | let 〈def, addr1〉 ≝ fresh_reg def in |
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408 | let 〈def, addr2〉 ≝ fresh_reg def in |
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409 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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410 | let 〈ignore, int_off〉 ≝ half_add ? off int_size in |
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411 | adds_graph [ |
---|
412 | ertl_st_int addr1 int_off start_lbl; |
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413 | ertl_st_get_hdw tmpr RegisterSPL start_lbl; |
---|
414 | ertl_st_clear_carry start_lbl; |
---|
415 | ertl_st_op2 Sub addr1 tmpr addr1 start_lbl; |
---|
416 | ertl_st_get_hdw tmpr RegisterSPH start_lbl; |
---|
417 | ertl_st_int addr2 (zero ?) start_lbl; |
---|
418 | ertl_st_op2 Sub addr2 tmpr addr2 start_lbl; |
---|
419 | ertl_st_store addr1 addr2 srcr start_lbl |
---|
420 | ] start_lbl dest_lbl def. |
---|
421 | |
---|
422 | definition set_params_stack ≝ |
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423 | λparams. |
---|
424 | match params with |
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425 | [ nil ⇒ [ λstart_lbl. adds_graph [ertl_st_skip start_lbl] start_lbl] |
---|
426 | | _ ⇒ |
---|
427 | let f ≝ λi. λr. set_param_stack (bitvector_of_nat ? i) r in |
---|
428 | mapi ? ? f params |
---|
429 | ]. |
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430 | |
---|
431 | axiom min_fst: |
---|
432 | ∀m, n: nat. |
---|
433 | min m n ≤ m. |
---|
434 | |
---|
435 | definition set_params ≝ |
---|
436 | λparams. |
---|
437 | let n ≝ min (|params|) (|parameters|) in |
---|
438 | let hdw_stack_params ≝ split ? params n ? in |
---|
439 | let hdw_params ≝ \fst hdw_stack_params in |
---|
440 | let stack_params ≝ \snd hdw_stack_params in |
---|
441 | set_params_hdw hdw_params @ set_params_stack stack_params. |
---|
442 | @min_fst |
---|
443 | qed. |
---|
444 | |
---|
445 | definition fetch_result ≝ |
---|
446 | λret_regs. |
---|
447 | λstart_lbl: label. |
---|
448 | match reduce_strong ? ? RegisterSTS RegisterRets with |
---|
449 | [ dp crl first_crl_proof ⇒ |
---|
450 | let commonl ≝ \fst (\fst crl) in |
---|
451 | let commonr ≝ \fst (\snd crl) in |
---|
452 | let f_save ≝ λst. λret. ertl_st_hdw_to_hdw st ret start_lbl in |
---|
453 | let saves ≝ map2 ? ? ? f_save commonl commonr ? in |
---|
454 | match reduce_strong ? ? ret_regs RegisterSTS with |
---|
455 | [ dp crl second_crl_proof ⇒ |
---|
456 | let commonl ≝ \fst (\fst crl) in |
---|
457 | let commonr ≝ \fst (\snd crl) in |
---|
458 | let f_restore ≝ λr. λst. ertl_st_get_hdw r st start_lbl in |
---|
459 | let restores ≝ map2 ? ? ? f_restore commonl commonr ? in |
---|
460 | adds_graph (saves @ restores) start_lbl |
---|
461 | ] |
---|
462 | ]. |
---|
463 | [ normalize nodelta; @second_crl_proof |
---|
464 | | @first_crl_proof |
---|
465 | ] |
---|
466 | qed. |
---|
467 | |
---|
468 | definition translate_call_id ≝ |
---|
469 | λf. |
---|
470 | λargs. |
---|
471 | λret_regs. |
---|
472 | λstart_lbl. |
---|
473 | λdest_lbl. |
---|
474 | λdef. |
---|
475 | let nb_args ≝ |args| in |
---|
476 | add_translates ( |
---|
477 | set_params args @ [ |
---|
478 | adds_graph [ ertl_st_call_id f (bitvector_of_nat ? nb_args) start_lbl ]; |
---|
479 | fetch_result ret_regs |
---|
480 | ] |
---|
481 | ) start_lbl dest_lbl def. |
---|
482 | |
---|
483 | definition translate_stmt ≝ |
---|
484 | λlbl. |
---|
485 | λstmt. |
---|
486 | λdef. |
---|
487 | match stmt with |
---|
488 | [ rtl_st_skip lbl' ⇒ add_graph lbl (ertl_st_skip lbl') def |
---|
489 | | rtl_st_cost cost_lbl lbl' ⇒ add_graph lbl (ertl_st_cost cost_lbl lbl') def |
---|
490 | | rtl_st_addr r1 r2 x lbl' ⇒ |
---|
491 | adds_graph [ |
---|
492 | ertl_st_addr_l r1 x lbl; |
---|
493 | ertl_st_addr_h r2 x lbl |
---|
494 | ] lbl lbl' def |
---|
495 | | rtl_st_stack_addr r1 r2 lbl' ⇒ |
---|
496 | adds_graph [ |
---|
497 | ertl_st_get_hdw r1 RegisterSPL lbl; |
---|
498 | ertl_st_get_hdw r2 RegisterSPH lbl |
---|
499 | ] lbl lbl' def |
---|
500 | | rtl_st_int r i lbl' ⇒ add_graph lbl (ertl_st_int r i lbl') def |
---|
501 | | rtl_st_move r1 r2 lbl' ⇒ add_graph lbl (ertl_st_move r1 r2 lbl') def |
---|
502 | | rtl_st_opaccs op destr1 destr2 srcr1 srcr2 lbl' ⇒ |
---|
503 | adds_graph [ |
---|
504 | ertl_st_opaccs_a op destr1 srcr1 srcr2 lbl; |
---|
505 | ertl_st_opaccs_b op destr2 srcr1 srcr2 lbl |
---|
506 | ] lbl lbl' def |
---|
507 | | rtl_st_op1 op1 destr srcr lbl' ⇒ |
---|
508 | add_graph lbl (ertl_st_op1 op1 destr srcr lbl') def |
---|
509 | | rtl_st_op2 op2 destr srcr1 srcr2 lbl' ⇒ |
---|
510 | add_graph lbl (ertl_st_op2 op2 destr srcr1 srcr2 lbl') def |
---|
511 | | rtl_st_clear_carry lbl' ⇒ |
---|
512 | add_graph lbl (ertl_st_clear_carry lbl') def |
---|
513 | | rtl_st_set_carry lbl' ⇒ |
---|
514 | add_graph lbl (ertl_st_set_carry lbl') def |
---|
515 | | rtl_st_load destr addr1 addr2 lbl' ⇒ |
---|
516 | add_graph lbl (ertl_st_load destr addr1 addr2 lbl') def |
---|
517 | | rtl_st_store addr1 addr2 srcr lbl' ⇒ |
---|
518 | add_graph lbl (ertl_st_store addr1 addr2 srcr lbl') def |
---|
519 | | rtl_st_call_id f args ret_regs lbl' ⇒ |
---|
520 | translate_call_id f args ret_regs lbl lbl' def |
---|
521 | | rtl_st_cond srcr lbl_true lbl_false ⇒ |
---|
522 | add_graph lbl (ertl_st_cond srcr lbl_true lbl_false) def |
---|
523 | | rtl_st_return ⇒ |
---|
524 | add_graph lbl ertl_st_return def |
---|
525 | | _ ⇒ ? (* assert false: not implemented or should not happen *) |
---|
526 | ]. |
---|
527 | cases not_implemented |
---|
528 | qed. |
---|
529 | |
---|
530 | definition translate_funct_internal ≝ |
---|
531 | λdef. |
---|
532 | let nb_params ≝ |rtl_if_params def| in |
---|
533 | let added_stacksize ≝ max 0 (nb_params - |parameters|) in |
---|
534 | let new_locals ≝ nub_by ? (eq_identifier ?) ((rtl_if_locals def) @ (rtl_if_params def)) in |
---|
535 | let entry' ≝ rtl_if_entry def in |
---|
536 | let exit' ≝ rtl_if_exit def in |
---|
537 | let def' ≝ |
---|
538 | mk_ertl_internal_function |
---|
539 | (rtl_if_luniverse def) (rtl_if_runiverse def) |
---|
540 | nb_params new_locals ((rtl_if_stacksize def) + added_stacksize) |
---|
541 | (empty_map ? ?) ? ? in |
---|
542 | let def' ≝ foldi ? ? ? translate_stmt (rtl_if_graph def) def' in |
---|
543 | let def' ≝ add_pro_and_epilogue (rtl_if_params def) (rtl_if_result def) def' in |
---|
544 | def'. |
---|
545 | [1: cases entry' |
---|
546 | #LBL #LBL_PRF |
---|
547 | % |
---|
548 | [1: @LBL |
---|
549 | |2: @LBL_PRF |
---|
550 | |
---|
551 | definition translate_funct ≝ |
---|
552 | λid_def: ident × ?. |
---|
553 | let 〈id, def〉 ≝ id_def in |
---|
554 | let def' ≝ |
---|
555 | match def with |
---|
556 | [ Internal def ⇒ Internal ? (translate_funct_internal def) |
---|
557 | | External def ⇒ External ? def |
---|
558 | ] in |
---|
559 | 〈id, def'〉. |
---|
560 | |
---|
561 | definition generate ≝ |
---|
562 | λstmt. |
---|
563 | λdef. |
---|
564 | let 〈entry, nuniv〉 ≝ fresh_label def in |
---|
565 | let graph ≝ add ? ? (ertl_if_graph def) entry stmt in |
---|
566 | mk_ertl_internal_function |
---|
567 | nuniv (ertl_if_runiverse def) (ertl_if_params def) |
---|
568 | (ertl_if_locals def) (ertl_if_stacksize def) graph |
---|
569 | entry (ertl_if_exit def). |
---|
570 | |
---|
571 | let generate stmt def = |
---|
572 | let entry = Label.Gen.fresh def.ERTL.f_luniverse in |
---|
573 | let def = |
---|
574 | { def with ERTL.f_graph = Label.Map.add entry stmt def.ERTL.f_graph } in |
---|
575 | { def with ERTL.f_entry = entry } |
---|
576 | |
---|
577 | |
---|
578 | definition save_return_internal ≝ |
---|
579 | λr. |
---|
580 | λstart_lbl. |
---|
581 | λdest_lbl. |
---|
582 | λdef. |
---|
583 | let 〈def, r_tmp〉 ≝ fresh_reg def in |
---|
584 | adds_graph [ |
---|
585 | ertl_st_int r_tmp (bitvector_of_nat ? 0) start_lbl; |
---|
586 | ertl_st_set_hdw RegisterST0 r start_lbl; |
---|
587 | ertl_st_set_hdw RegisterST1 r_tmp start_lbl ] start_lbl dest_lbl def. |
---|
588 | |
---|
589 | definition save_return_internal' ≝ |
---|
590 | λr1, r2. |
---|
591 | λstart_lbl. |
---|
592 | adds_graph [ |
---|
593 | ertl_st_set_hdw RegisterST0 r1 start_lbl; |
---|
594 | ertl_st_set_hdw RegisterST1 r2 start_lbl |
---|
595 | ] start_lbl. |
---|
596 | |
---|
597 | definition save_return ≝ |
---|
598 | λret_regs. |
---|
599 | match ret_regs with |
---|
600 | [ nil ⇒ [ get_params_hdw_internal ] |
---|
601 | | cons hd tl ⇒ |
---|
602 | match tl with |
---|
603 | [ nil ⇒ [ save_return_internal hd ] |
---|
604 | | cons hd' tl' ⇒ [ save_return_internal' hd hd' ] |
---|
605 | ] |
---|
606 | ]. |
---|
607 | |
---|
608 | definition add_epilogue ≝ |
---|
609 | λret_regs. |
---|
610 | λsral. |
---|
611 | λsrah. |
---|
612 | λsregs. |
---|
613 | λdef. |
---|
614 | let start_lbl ≝ ertl_if_exit def in |
---|
615 | let tmp_lbl ≝ fresh_label def in |
---|
616 | match tmp_lbl with |
---|
617 | [ None ⇒ None ? |
---|
618 | | Some tmp_lbl ⇒ |
---|
619 | let last_stmt ≝ lookup ? ? (ertl_if_graph def) start_lbl in |
---|
620 | match last_stmt with |
---|
621 | [ None ⇒ None ? |
---|
622 | | Some last_stmt ⇒ |
---|
623 | let def ≝ |
---|
624 | add_translates ( |
---|
625 | save_return ret_regs @ |
---|
626 | restore_hdws sregs @ |
---|
627 | [adds_graph [ |
---|
628 | ertl_st_push srah start_lbl; |
---|
629 | ertl_st_push sral start_lbl |
---|
630 | ]] @ |
---|
631 | [adds_graph [ |
---|
632 | ertl_st_del_frame start_lbl |
---|
633 | ]] @ |
---|
634 | [adds_graph [ |
---|
635 | ertl_st_hdw_to_hdw RegisterDPL RegisterST0 start_lbl; |
---|
636 | ertl_st_hdw_to_hdw RegisterDPH RegisterST1 start_lbl |
---|
637 | ]]) start_lbl tmp_lbl def in |
---|
638 | match def with |
---|
639 | [ None ⇒ None ? |
---|
640 | | Some def ⇒ |
---|
641 | let def ≝ add_graph tmp_lbl last_stmt def in |
---|
642 | Some ? (change_exit_label tmp_lbl def) |
---|
643 | ] |
---|
644 | ] |
---|
645 | ]. |
---|
646 | |
---|
647 | axiom add_pro_and_epilogue: |
---|
648 | ∀rs: register_set. |
---|
649 | ∀params: list register. |
---|
650 | ∀ret_args: list register. |
---|
651 | ∀def: ertl_internal_function. |
---|
652 | option ertl_internal_function. |
---|
653 | |
---|
654 | (* |
---|
655 | dpm: address callee_saved problem |
---|
656 | definition add_pro_and_epilogue ≝ |
---|
657 | λrs: register_set. |
---|
658 | λparams. |
---|
659 | λret_args. |
---|
660 | λdef. |
---|
661 | let 〈def, sra〉 ≝ fresh_regs def 2 in |
---|
662 | let sral ≝ safe_nth ? 0 sra ? in |
---|
663 | let srah ≝ safe_nth ? 1 sra ? in |
---|
664 | let 〈def, sregs〉 ≝ allocate_regs callee_saved def in |
---|
665 | let def ≝ add_prologue params sral srah sregs def in |
---|
666 | let def ≝ add_epilogue ret_args sral srah sregs def in |
---|
667 | def. |
---|
668 | *) |
---|
669 | |
---|
670 | definition set_params_hdw ≝ |
---|
671 | λparams. |
---|
672 | match length ? params with |
---|
673 | [ O ⇒ Some ? [ get_params_hdw_internal ] |
---|
674 | | _ ⇒ |
---|
675 | match zip ? ? params parameters with |
---|
676 | [ None ⇒ None ? |
---|
677 | | Some zipped_params ⇒ Some ? (restore_hdws zipped_params) |
---|
678 | ] |
---|
679 | ]. |
---|
680 | |
---|
681 | definition set_param_stack ≝ |
---|
682 | λoff: nat. |
---|
683 | λsrcr. |
---|
684 | λstart_lbl, dest_lbl: label. |
---|
685 | λdef. |
---|
686 | let 〈def, addr1〉 ≝ fresh_reg def in |
---|
687 | let 〈def, addr2〉 ≝ fresh_reg def in |
---|
688 | let 〈def, tmpr〉 ≝ fresh_reg def in |
---|
689 | let 〈int_offset, ignore〉 ≝ add_8_with_carry (bitvector_of_nat ? off) int_size false in |
---|
690 | adds_graph [ |
---|
691 | ertl_st_int addr2 int_offset start_lbl; |
---|
692 | ertl_st_get_hdw tmpr RegisterSPL start_lbl; |
---|
693 | ertl_st_clear_carry start_lbl; |
---|
694 | ertl_st_op2 Sub addr1 tmpr addr1 start_lbl; |
---|
695 | ertl_st_get_hdw tmpr RegisterSPH start_lbl; |
---|
696 | ertl_st_int addr2 (bitvector_of_nat ? 0) start_lbl; |
---|
697 | ertl_st_op2 Sub addr2 tmpr addr2 start_lbl; |
---|
698 | ertl_st_store addr1 addr2 srcr start_lbl |
---|
699 | ] start_lbl dest_lbl def. |
---|
700 | |
---|
701 | definition set_params_stack ≝ |
---|
702 | λparams. |
---|
703 | match length ? params with |
---|
704 | [ O ⇒ [ get_params_hdw_internal ] |
---|
705 | | _ ⇒ mapi ? ? set_param_stack params |
---|
706 | |
---|
707 | ]. |
---|
708 | |
---|
709 | definition set_params ≝ |
---|
710 | λparams. |
---|
711 | let n ≝ min (length ? params) (length ? parameters) in |
---|
712 | let 〈hdw_params, stack_params〉 ≝ list_split ? n params in |
---|
713 | match set_params_hdw hdw_params with |
---|
714 | [ None ⇒ None ? |
---|
715 | | Some hdw_params' ⇒ Some ? (hdw_params' @ (set_params_stack stack_params)) |
---|
716 | ]. |
---|
717 | |
---|
718 | definition fetch_result ≝ |
---|
719 | λret_regs. |
---|
720 | λstart_lbl. |
---|
721 | match ret_regs with |
---|
722 | [ nil ⇒ adds_graph [ertl_st_skip start_lbl] start_lbl |
---|
723 | | cons hd tl ⇒ |
---|
724 | match tl with |
---|
725 | [ nil ⇒ |
---|
726 | adds_graph [ |
---|
727 | ertl_st_hdw_to_hdw RegisterST0 RegisterDPL start_lbl; |
---|
728 | ertl_st_get_hdw hd RegisterST0 start_lbl |
---|
729 | ] start_lbl |
---|
730 | | cons hd' tl' ⇒ |
---|
731 | adds_graph [ |
---|
732 | ertl_st_hdw_to_hdw RegisterST0 RegisterDPL start_lbl; |
---|
733 | ertl_st_hdw_to_hdw RegisterST1 RegisterDPH start_lbl; |
---|
734 | ertl_st_get_hdw hd RegisterST0 start_lbl; |
---|
735 | ertl_st_get_hdw hd' RegisterST1 start_lbl |
---|
736 | ] start_lbl |
---|
737 | ] |
---|
738 | ]. |
---|
739 | |
---|
740 | definition translate_call_id ≝ |
---|
741 | λf. |
---|
742 | λargs. |
---|
743 | λret_regs. |
---|
744 | λstart_lbl, dest_lbl: label. |
---|
745 | λdef. |
---|
746 | let nb_args ≝ bitvector_of_nat ? (length ? args) in |
---|
747 | match set_params args with |
---|
748 | [ None ⇒ None ? |
---|
749 | | Some params_args ⇒ |
---|
750 | add_translates ( |
---|
751 | params_args @ [ |
---|
752 | adds_graph [ ertl_st_call_id f nb_args start_lbl ] ; |
---|
753 | fetch_result ret_regs |
---|
754 | ]) start_lbl dest_lbl def |
---|
755 | ]. |
---|
756 | |
---|
757 | definition translate_stmt ≝ |
---|
758 | λlbl: label. |
---|
759 | λstmt: rtl_statement. |
---|
760 | λdef: ertl_internal_function. |
---|
761 | match stmt with |
---|
762 | [ rtl_st_skip lbl' ⇒ |
---|
763 | Some ? (add_graph lbl (ertl_st_skip lbl') def) |
---|
764 | | rtl_st_cost cost_lbl lbl' ⇒ |
---|
765 | Some ? (add_graph lbl (ertl_st_cost cost_lbl lbl') def) |
---|
766 | | rtl_st_addr r1 r2 x lbl' ⇒ |
---|
767 | adds_graph [ |
---|
768 | ertl_st_addr_l r1 x lbl; |
---|
769 | ertl_st_addr_h r2 x lbl |
---|
770 | ] lbl lbl' def |
---|
771 | | rtl_st_stack_addr r1 r2 lbl' ⇒ |
---|
772 | adds_graph [ |
---|
773 | ertl_st_get_hdw r1 RegisterSPL lbl; |
---|
774 | ertl_st_get_hdw r2 RegisterSPH lbl |
---|
775 | ] lbl lbl' def |
---|
776 | | rtl_st_int r i lbl' ⇒ |
---|
777 | Some ? (add_graph lbl (ertl_st_int r i lbl') def) |
---|
778 | | rtl_st_move r1 r2 lbl' ⇒ |
---|
779 | Some ? (add_graph lbl (ertl_st_move r1 r2 lbl') def) |
---|
780 | | rtl_st_opaccs opaccs d s1 s2 lbl' ⇒ |
---|
781 | Some ? (add_graph lbl (ertl_st_opaccs opaccs d s1 s2 lbl') def) |
---|
782 | | rtl_st_op1 op1 d s lbl' ⇒ |
---|
783 | Some ? (add_graph lbl (ertl_st_op1 op1 d s lbl') def) |
---|
784 | | rtl_st_op2 op2 d s1 s2 lbl' ⇒ |
---|
785 | Some ? (add_graph lbl (ertl_st_op2 op2 d s1 s2 lbl') def) |
---|
786 | | rtl_st_clear_carry lbl' ⇒ |
---|
787 | Some ? (add_graph lbl (ertl_st_clear_carry lbl') def) |
---|
788 | | rtl_st_load d a1 a2 lbl' ⇒ |
---|
789 | Some ? (add_graph lbl (ertl_st_load d a1 a2 lbl') def) |
---|
790 | | rtl_st_store a1 a2 s lbl' ⇒ |
---|
791 | Some ? (add_graph lbl (ertl_st_store a1 a2 s lbl') def) |
---|
792 | | rtl_st_call_id f args ret_regs lbl' ⇒ |
---|
793 | translate_call_id f args ret_regs lbl lbl' def |
---|
794 | | rtl_st_call_ptr r1 r2 regs1 regs2 lbl ⇒ None ? (* dpm: todo *) |
---|
795 | | rtl_st_cond_acc src lbl_true lbl_false ⇒ |
---|
796 | Some ? (add_graph lbl (ertl_st_cond_acc src lbl_true lbl_false) def) |
---|
797 | | rtl_st_return ret_regs ⇒ |
---|
798 | Some ? (add_graph lbl (ertl_st_return ret_regs) def) |
---|
799 | | rtl_st_tailcall_id ident regs ⇒ None ? (* dpm: impossible *) |
---|
800 | | rtl_st_tailcall_ptr r1 r2 regs ⇒ None ? (* dpm: impossible *) |
---|
801 | ]. |
---|
802 | |
---|
803 | definition translate_funct_internal ≝ |
---|
804 | λdef. |
---|
805 | let nb_params ≝ length ? (rtl_if_params def) in |
---|
806 | let added_stacksize ≝ max 0 (nb_params - (length ? parameters)) in |
---|
807 | let new_locals ≝ nub_by ? (eq_identifier ?) ((rtl_if_locals def) @ (rtl_if_params def)) in |
---|
808 | let def' ≝ |
---|
809 | mk_ertl_internal_function |
---|
810 | (rtl_if_luniverse def) (rtl_if_runiverse def) |
---|
811 | nb_params new_locals ((rtl_if_stacksize def) + added_stacksize) |
---|
812 | (empty_map ? ?) (rtl_if_entry def) (rtl_if_exit def) in |
---|
813 | let def' ≝ map_fold ? ? translate_stmt (rtl_if_graph def) def' in |
---|
814 | let def' ≝ add_pro_and_epilogue register_list_set (rtl_if_params def) (rtl_if_result def) def' in |
---|
815 | def'. |
---|
816 | |
---|
817 | definition translate_funct ≝ |
---|
818 | λid_def: ident × ?. |
---|
819 | let 〈id, def〉 ≝ id_def in |
---|
820 | let def' ≝ |
---|
821 | match def with |
---|
822 | [ rtl_f_internal def ⇒ |
---|
823 | match translate_funct_internal def with |
---|
824 | [ None ⇒ None ? |
---|
825 | | Some internal_def ⇒ Some ? (ertl_f_internal internal_def) |
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826 | ] |
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827 | | rtl_f_external def ⇒ Some ? (ertl_f_external def) |
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828 | ] in |
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829 | 〈id, def'〉. |
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830 | |
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831 | definition generate ≝ |
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832 | λstmt. |
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833 | λdef. |
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834 | let entry ≝ fresh_label def in |
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835 | match entry with |
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836 | [ None ⇒ None ? |
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837 | | Some entry ⇒ |
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838 | let def ≝ add_graph entry stmt def in |
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839 | Some ? (change_entry_label entry def) |
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840 | ]. |
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841 | |
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842 | let rec find_and_remove_first_cost_label_internal (def: ertl_internal_function) |
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843 | (lbl: label) (n: nat) on n ≝ |
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844 | match n with |
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845 | [ O ⇒ None ? |
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846 | | S n' ⇒ |
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847 | let statement_at_label ≝ lookup ? ? (ertl_if_graph def) lbl in |
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848 | match statement_at_label with |
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849 | [ None ⇒ None ? |
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850 | | Some statement ⇒ |
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851 | match statement with |
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852 | [ ertl_st_cost cost_lbl next_lbl ⇒ |
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853 | let def' ≝ add_graph lbl (ertl_st_skip next_lbl) def in |
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854 | Some ? 〈Some ? cost_lbl, def'〉 |
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855 | | ertl_st_cond_acc _ _ _ ⇒ Some ? 〈None ?, def〉 |
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856 | | ertl_st_return _⇒ Some ? 〈None ?, def〉 |
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857 | | ertl_st_skip lbl' ⇒ find_and_remove_first_cost_label_internal def lbl' n' |
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858 | | ertl_st_comment _ lbl' ⇒ |
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859 | find_and_remove_first_cost_label_internal def lbl' n' |
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860 | | ertl_st_get_hdw _ _ lbl' ⇒ |
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861 | find_and_remove_first_cost_label_internal def lbl' n' |
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862 | | ertl_st_set_hdw _ _ lbl' ⇒ |
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863 | find_and_remove_first_cost_label_internal def lbl' n' |
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864 | | ertl_st_hdw_to_hdw _ _ lbl' ⇒ |
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865 | find_and_remove_first_cost_label_internal def lbl' n' |
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866 | | ertl_st_pop _ lbl' ⇒ |
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867 | find_and_remove_first_cost_label_internal def lbl' n' |
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868 | | ertl_st_push _ lbl' ⇒ |
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869 | find_and_remove_first_cost_label_internal def lbl' n' |
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870 | | ertl_st_addr_h _ _ lbl' ⇒ |
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871 | find_and_remove_first_cost_label_internal def lbl' n' |
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872 | | ertl_st_addr_l _ _ lbl' ⇒ |
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873 | find_and_remove_first_cost_label_internal def lbl' n' |
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874 | | ertl_st_int _ _ lbl' ⇒ |
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875 | find_and_remove_first_cost_label_internal def lbl' n' |
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876 | | ertl_st_move _ _ lbl' ⇒ |
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877 | find_and_remove_first_cost_label_internal def lbl' n' |
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878 | | ertl_st_opaccs _ _ _ _ lbl' ⇒ |
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879 | find_and_remove_first_cost_label_internal def lbl' n' |
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880 | | ertl_st_op2 _ _ _ _ lbl' ⇒ |
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881 | find_and_remove_first_cost_label_internal def lbl' n' |
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882 | | ertl_st_op1 _ _ _ lbl' ⇒ |
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883 | find_and_remove_first_cost_label_internal def lbl' n' |
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884 | | ertl_st_clear_carry lbl' ⇒ |
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885 | find_and_remove_first_cost_label_internal def lbl' n' |
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886 | | ertl_st_load _ _ _ lbl' ⇒ |
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887 | find_and_remove_first_cost_label_internal def lbl' n' |
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888 | | ertl_st_store _ _ _ lbl' ⇒ |
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889 | find_and_remove_first_cost_label_internal def lbl' n' |
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890 | | ertl_st_call_id _ _ lbl' ⇒ |
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891 | find_and_remove_first_cost_label_internal def lbl' n' |
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892 | | ertl_st_new_frame lbl' ⇒ |
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893 | find_and_remove_first_cost_label_internal def lbl' n' |
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894 | | ertl_st_del_frame lbl' ⇒ |
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895 | find_and_remove_first_cost_label_internal def lbl' n' |
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896 | | ertl_st_frame_size _ lbl' ⇒ |
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897 | find_and_remove_first_cost_label_internal def lbl' n' |
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898 | ] |
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899 | ] |
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900 | ]. |
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901 | |
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902 | axiom num_entries: |
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903 | ∀A: Type[0]. |
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904 | ∀g: graph A. |
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905 | nat. |
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906 | |
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907 | definition find_and_remove_first_cost_label ≝ |
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908 | λdef. |
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909 | find_and_remove_first_cost_label_internal def (ertl_if_entry def) (num_entries ? (ertl_if_graph def)). |
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910 | |
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911 | definition move_first_cost_label_up_internal ≝ |
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912 | λdef. |
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913 | let cost_label_def ≝ find_and_remove_first_cost_label def in |
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914 | match cost_label_def with |
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915 | [ None ⇒ None ? |
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916 | | Some cost_label_def ⇒ |
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917 | let 〈cost_label, def〉 ≝ cost_label_def in |
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918 | match cost_label with |
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919 | [ None ⇒ Some ? def |
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920 | | Some cost_label ⇒ generate (ertl_st_cost cost_label (ertl_if_entry def)) def |
---|
921 | ] |
---|
922 | ]. |
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923 | |
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924 | definition move_first_cost_label_up ≝ |
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925 | λid_def: ident × ?. |
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926 | let 〈id, def〉 ≝ id_def in |
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927 | let def' ≝ |
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928 | match def with |
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929 | [ ertl_f_internal int_fun ⇒ |
---|
930 | let cost_label_def ≝ move_first_cost_label_up_internal int_fun in |
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931 | match cost_label_def with |
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932 | [ None ⇒ None ? |
---|
933 | | Some cost_label_def ⇒ |
---|
934 | Some ? (ertl_f_internal cost_label_def) |
---|
935 | ] |
---|
936 | | ertl_f_external _ ⇒ Some ? def |
---|
937 | ] in |
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938 | match def' with |
---|
939 | [ None ⇒ None ? |
---|
940 | | Some def' ⇒ Some ? 〈id, def'〉 |
---|
941 | ]. |
---|
942 | |
---|
943 | definition translate_internal ≝ |
---|
944 | λfunct. |
---|
945 | let 〈id, funct〉 ≝ translate_funct funct in |
---|
946 | match funct with |
---|
947 | [ None ⇒ None ? |
---|
948 | | Some funct ⇒ move_first_cost_label_up 〈id, funct〉 |
---|
949 | ]. |
---|
950 | |
---|
951 | let rec strip_none (A: Type[0]) (l: list (option A)) on l: list A ≝ |
---|
952 | match l with |
---|
953 | [ nil ⇒ nil ? |
---|
954 | | cons hd tl ⇒ |
---|
955 | match hd with |
---|
956 | [ None ⇒ strip_none A tl |
---|
957 | | Some hd ⇒ hd :: strip_none A tl |
---|
958 | ] |
---|
959 | ]. |
---|
960 | |
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961 | definition translate: rtl_program → ertl_program ≝ |
---|
962 | λp. |
---|
963 | let p ≝ tailcall_simplify p in |
---|
964 | let rtl_pr_vars' ≝ rtl_pr_vars p in |
---|
965 | let rtl_pr_functs' ≝ map … translate_internal (rtl_pr_functs p) in |
---|
966 | let rtl_pr_functs_filtered ≝ strip_none ? rtl_pr_functs' in |
---|
967 | let rtl_pr_main' ≝ rtl_pr_main p in |
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968 | mk_ertl_program rtl_pr_vars' rtl_pr_functs_filtered rtl_pr_main'. |
---|