1 | include "RTL/RTL.ma". |
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2 | include "RTL/RTLTailcall.ma". |
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3 | include "ERTL/ERTL.ma". |
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4 | include "utilities/RegisterSet.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 | let ertl_if_luniverse' ≝ ertl_if_luniverse p in |
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10 | let ertl_if_runiverse' ≝ ertl_if_runiverse p in |
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11 | let ertl_if_params' ≝ ertl_if_params p in |
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12 | let ertl_if_locals' ≝ ertl_if_locals p in |
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13 | let ertl_if_stacksize' ≝ ertl_if_stacksize p in |
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14 | let ertl_if_graph' ≝ ertl_if_graph p in |
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15 | let ertl_if_entry' ≝ ertl_if_entry p in |
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16 | let ertl_if_exit' ≝ l in |
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17 | mk_ertl_internal_function ertl_if_luniverse' ertl_if_runiverse' |
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18 | ertl_if_params' ertl_if_locals' ertl_if_stacksize' |
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19 | ertl_if_graph' ertl_if_entry' ertl_if_exit'. |
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20 | |
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21 | definition change_entry_label ≝ |
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22 | λl: label. |
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23 | λp: ertl_internal_function. |
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24 | let ertl_if_luniverse' ≝ ertl_if_luniverse p in |
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25 | let ertl_if_runiverse' ≝ ertl_if_runiverse p in |
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26 | let ertl_if_params' ≝ ertl_if_params p in |
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27 | let ertl_if_locals' ≝ ertl_if_locals p in |
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28 | let ertl_if_stacksize' ≝ ertl_if_stacksize p in |
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29 | let ertl_if_graph' ≝ ertl_if_graph p in |
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30 | let ertl_if_entry' ≝ l in |
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31 | let ertl_if_exit' ≝ ertl_if_exit p in |
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32 | mk_ertl_internal_function ertl_if_luniverse' ertl_if_runiverse' |
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33 | ertl_if_params' ertl_if_locals' ertl_if_stacksize' |
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34 | ertl_if_graph' ertl_if_entry' ertl_if_exit'. |
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35 | |
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36 | definition add_graph ≝ |
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37 | λl: label. |
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38 | λstmt. |
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39 | λp. |
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40 | let ertl_if_luniverse' ≝ ertl_if_luniverse p in |
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41 | let ertl_if_runiverse' ≝ ertl_if_runiverse p in |
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42 | let ertl_if_params' ≝ ertl_if_params p in |
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43 | let ertl_if_locals' ≝ ertl_if_locals p in |
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44 | let ertl_if_stacksize' ≝ ertl_if_stacksize p in |
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45 | let ertl_if_graph' ≝ add ? ? (ertl_if_graph p) l stmt in |
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46 | let ertl_if_entry' ≝ ertl_if_entry p in |
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47 | let ertl_if_exit' ≝ ertl_if_exit p in |
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48 | mk_ertl_internal_function ertl_if_luniverse' ertl_if_runiverse' |
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49 | ertl_if_params' ertl_if_locals' ertl_if_stacksize' |
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50 | ertl_if_graph' ertl_if_entry' ertl_if_exit'. |
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51 | |
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52 | definition fresh_label ≝ |
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53 | λdef. |
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54 | match fresh LabelTag (ertl_if_luniverse def) with |
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55 | [ OK lbl_univ ⇒ Some ? (\fst … lbl_univ) |
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56 | | Error ⇒ None ? |
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57 | ]. |
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58 | |
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59 | definition change_label ≝ |
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60 | λl. |
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61 | λe: ertl_statement. |
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62 | match e with |
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63 | [ ertl_st_skip _ ⇒ ertl_st_skip l |
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64 | | ertl_st_comment s _ ⇒ ertl_st_comment s l |
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65 | | ertl_st_cost c _ ⇒ ertl_st_cost c l |
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66 | | ertl_st_get_hdw r1 r2 _ ⇒ ertl_st_get_hdw r1 r2 l |
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67 | | ertl_st_set_hdw r1 r2 _ ⇒ ertl_st_set_hdw r1 r2 l |
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68 | | ertl_st_hdw_to_hdw r1 r2 _ ⇒ ertl_st_hdw_to_hdw r1 r2 l |
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69 | | ertl_st_new_frame _ ⇒ ertl_st_new_frame l |
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70 | | ertl_st_del_frame _ ⇒ ertl_st_del_frame l |
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71 | | ertl_st_frame_size r _ ⇒ ertl_st_frame_size r l |
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72 | | ertl_st_pop r _ ⇒ ertl_st_pop r l |
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73 | | ertl_st_push r _ ⇒ ertl_st_push r l |
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74 | | ertl_st_addr_h r id _ ⇒ ertl_st_addr_h r id l |
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75 | | ertl_st_addr_l r id _ ⇒ ertl_st_addr_l r id l |
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76 | | ertl_st_int r i _ ⇒ ertl_st_int r i l |
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77 | | ertl_st_move r1 r2 _ ⇒ ertl_st_move r1 r2 l |
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78 | | ertl_st_opaccs opaccs d s1 s2 _ ⇒ ertl_st_opaccs opaccs d s1 s2 l |
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79 | | ertl_st_op1 op1 d s1 _ ⇒ ertl_st_op1 op1 d s1 l |
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80 | | ertl_st_op2 op2 d s1 s2 _ ⇒ ertl_st_op2 op2 d s1 s2 l |
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81 | | ertl_st_clear_carry _ ⇒ ertl_st_clear_carry l |
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82 | | ertl_st_load d a1 a2 _ ⇒ ertl_st_load d a1 a2 l |
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83 | | ertl_st_store a1 a2 s _ ⇒ ertl_st_store a1 a2 s l |
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84 | | ertl_st_call_id f args _ ⇒ ertl_st_call_id f args l |
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85 | | ertl_st_cond_acc a i1 i2 ⇒ ertl_st_cond_acc a i1 i2 |
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86 | | ertl_st_return a ⇒ ertl_st_return a |
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87 | ]. |
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88 | |
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89 | let rec adds_graph (stmt_list: list ertl_statement) (start_lbl: label) (dest_lbl: label) (def: ertl_internal_function): option ertl_internal_function ≝ |
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90 | match stmt_list with |
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91 | [ nil ⇒ Some ? def |
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92 | | cons hd tl ⇒ |
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93 | match tl with |
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94 | [ nil ⇒ Some ? (add_graph start_lbl (change_label dest_lbl hd) def) |
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95 | | _ ⇒ |
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96 | let tmp_lbl ≝ fresh_label def in |
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97 | match tmp_lbl with |
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98 | [ Some tmp_lbl ⇒ |
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99 | let stmt ≝ change_label tmp_lbl hd in |
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100 | let def ≝ add_graph start_lbl hd def in |
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101 | adds_graph tl tmp_lbl dest_lbl def |
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102 | | None ⇒ None ? |
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103 | ] |
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104 | ] |
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105 | ]. |
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106 | |
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107 | let rec add_translates (translate_list: list (label → label → ertl_internal_function → option ertl_internal_function)) |
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108 | (start_lbl: label) (dest_lbl: label) |
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109 | (def: ertl_internal_function): option ertl_internal_function ≝ |
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110 | match translate_list with |
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111 | [ nil ⇒ Some ? def |
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112 | | cons hd tl ⇒ |
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113 | match tl with |
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114 | [ nil ⇒ hd start_lbl dest_lbl def |
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115 | | _ ⇒ |
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116 | let tmp_lbl ≝ fresh_label def in |
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117 | match tmp_lbl with |
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118 | [ Some tmp_lbl ⇒ |
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119 | match hd start_lbl tmp_lbl def with |
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120 | [ Some def ⇒ add_translates tl tmp_lbl dest_lbl def |
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121 | | None ⇒ None ? |
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122 | ] |
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123 | | None ⇒ None ? |
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124 | ] |
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125 | ] |
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126 | ]. |
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127 | |
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128 | axiom fresh_reg: ertl_internal_function → ertl_internal_function × register. |
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129 | |
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130 | let rec fresh_regs (def: ertl_internal_function) (n: nat) on n ≝ |
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131 | match n with |
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132 | [ O ⇒ 〈def, [ ]〉 |
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133 | | S n' ⇒ |
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134 | let 〈def', regs'〉 ≝ fresh_regs def n' in |
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135 | let 〈def', reg〉 ≝ fresh_reg def' in |
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136 | 〈def', reg :: regs'〉 |
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137 | ]. |
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138 | |
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139 | definition save_hdws_internal ≝ |
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140 | λdestr_srcr: register × hardware_register. |
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141 | λstart_lbl: label. |
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142 | let 〈destr, srcr〉 ≝ destr_srcr in |
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143 | adds_graph [ ertl_st_get_hdw destr srcr start_lbl ] start_lbl. |
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144 | |
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145 | definition save_hdws ≝ |
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146 | λl. |
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147 | map ? ? save_hdws_internal l. |
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148 | |
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149 | definition restore_hdws_internal ≝ |
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150 | λdestr_srcr: hardware_register × register. |
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151 | λstart_lbl: label. |
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152 | let 〈destr, srcr〉 ≝ destr_srcr in |
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153 | adds_graph [ ertl_st_set_hdw destr srcr start_lbl ] start_lbl. |
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154 | |
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155 | definition swap_components ≝ |
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156 | λA, B: Type[0]. |
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157 | λp: A × B. |
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158 | let 〈l, r〉 ≝ p in |
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159 | 〈r, l〉. |
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160 | |
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161 | definition restore_hdws ≝ |
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162 | λl. |
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163 | map ? ? restore_hdws_internal (map ? ? (swap_components ? ?) l). |
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164 | |
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165 | definition get_params_hdw_internal ≝ |
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166 | λstart_lbl: label. |
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167 | adds_graph [ ertl_st_skip start_lbl ] start_lbl. |
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168 | |
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169 | definition get_params_hdw ≝ |
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170 | λparams: list register. |
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171 | match length ? params with |
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172 | [ O ⇒ Some ? [ get_params_hdw_internal ] |
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173 | | _ ⇒ |
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174 | match zip ? ? params parameters with |
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175 | [ None ⇒ None ? |
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176 | | Some l ⇒ Some ? (save_hdws l) |
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177 | ] |
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178 | ]. |
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179 | |
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180 | definition get_param_stack ≝ |
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181 | λoff: nat. |
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182 | λdestr. |
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183 | λstart_lbl, dest_lbl: label. |
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184 | λdef. |
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185 | let 〈def, addr1〉 ≝ fresh_reg def in |
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186 | let 〈def, addr2〉 ≝ fresh_reg def in |
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187 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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188 | let 〈int_offset, ignore〉 ≝ add_8_with_carry (bitvector_of_nat ? off) int_size false in |
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189 | adds_graph [ |
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190 | ertl_st_frame_size addr1 start_lbl; |
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191 | ertl_st_int tmpr int_offset start_lbl; |
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192 | ertl_st_op2 Sub addr1 addr1 tmpr start_lbl; |
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193 | ertl_st_get_hdw tmpr RegisterSPL start_lbl; |
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194 | ertl_st_op2 Add addr1 addr1 tmpr start_lbl; |
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195 | ertl_st_int addr2 (bitvector_of_nat 8 0) start_lbl; |
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196 | ertl_st_get_hdw tmpr RegisterSPH start_lbl; |
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197 | ertl_st_op2 Addc addr2 addr2 tmpr start_lbl; |
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198 | ertl_st_load destr addr1 addr2 start_lbl |
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199 | ] start_lbl dest_lbl def. |
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200 | |
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201 | definition get_params_stack_internal ≝ |
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202 | λi. |
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203 | λr. |
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204 | get_param_stack i r. |
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205 | |
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206 | definition get_params_stack ≝ |
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207 | λparams. |
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208 | match length ? params with |
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209 | [ O ⇒ [ get_params_hdw_internal ] |
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210 | | _ ⇒ mapi ? ? get_params_stack_internal params |
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211 | ]. |
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212 | |
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213 | definition get_params ≝ |
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214 | λparams. |
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215 | let n ≝ min (length ? params) (length ? parameters) in |
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216 | let 〈hdw_params, stack_params〉 ≝ list_split ? n params in |
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217 | match get_params_hdw hdw_params with |
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218 | [ None ⇒ None ? |
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219 | | Some hdw_params ⇒ Some ? (hdw_params @ (get_params_stack stack_params)) |
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220 | ]. |
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221 | |
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222 | definition add_prologue ≝ |
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223 | λparams. |
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224 | λsral. |
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225 | λsrah. |
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226 | λsregs. |
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227 | λdef. |
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228 | let start_lbl ≝ ertl_if_entry def in |
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229 | let tmp_lbl ≝ fresh_label def in |
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230 | match tmp_lbl with |
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231 | [ None ⇒ None ? |
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232 | | Some tmp_lbl ⇒ |
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233 | let last_stmt ≝ lookup ? ? (ertl_if_graph def) start_lbl in |
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234 | let params ≝ |
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235 | match get_params params with |
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236 | [ Some params ⇒ params |
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237 | | None ⇒ [ ] (* dpm: is this ok? *) |
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238 | ] in |
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239 | let def ≝ |
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240 | add_translates ( |
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241 | adds_graph [ ertl_st_new_frame start_lbl ] :: |
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242 | adds_graph [ ertl_st_pop sral start_lbl; ertl_st_pop srah start_lbl ] :: |
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243 | save_hdws sregs @ |
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244 | params) start_lbl tmp_lbl def in |
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245 | match def with |
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246 | [ Some def ⇒ |
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247 | match last_stmt with |
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248 | [ Some last_stmt ⇒ Some ? (add_graph tmp_lbl last_stmt def) |
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249 | | None ⇒ None ? |
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250 | ] |
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251 | | None ⇒ None ? |
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252 | ] |
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253 | ]. |
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254 | |
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255 | definition allocate_regs_internal ≝ |
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256 | λr: register. |
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257 | λdef_sregs. |
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258 | let 〈def, sregs〉 ≝ def_sregs in |
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259 | let 〈def, r'〉 ≝ fresh_reg def in |
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260 | 〈def, 〈r', r〉 :: sregs〉. |
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261 | |
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262 | definition allocate_regs ≝ |
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263 | λrs: register_set. |
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264 | λsaved: rs_set rs. |
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265 | λdef. |
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266 | rs_fold ? ? allocate_regs_internal saved 〈def, [ ]〉. |
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267 | |
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268 | definition save_return_internal ≝ |
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269 | λr. |
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270 | λstart_lbl. |
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271 | λdest_lbl. |
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272 | λdef. |
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273 | let 〈def, r_tmp〉 ≝ fresh_reg def in |
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274 | adds_graph [ |
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275 | ertl_st_int r_tmp (bitvector_of_nat ? 0) start_lbl; |
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276 | ertl_st_set_hdw RegisterST0 r start_lbl; |
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277 | ertl_st_set_hdw RegisterST1 r_tmp start_lbl ] start_lbl dest_lbl def. |
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278 | |
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279 | definition save_return_internal' ≝ |
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280 | λr1, r2. |
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281 | λstart_lbl. |
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282 | adds_graph [ |
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283 | ertl_st_set_hdw RegisterST0 r1 start_lbl; |
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284 | ertl_st_set_hdw RegisterST1 r2 start_lbl |
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285 | ] start_lbl. |
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286 | |
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287 | definition save_return ≝ |
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288 | λret_regs. |
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289 | match ret_regs with |
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290 | [ nil ⇒ [ get_params_hdw_internal ] |
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291 | | cons hd tl ⇒ |
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292 | match tl with |
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293 | [ nil ⇒ [ save_return_internal hd ] |
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294 | | cons hd' tl' ⇒ [ save_return_internal' hd hd' ] |
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295 | ] |
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296 | ]. |
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297 | |
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298 | definition add_epilogue ≝ |
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299 | λret_regs. |
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300 | λsral. |
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301 | λsrah. |
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302 | λsregs. |
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303 | λdef. |
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304 | let start_lbl ≝ ertl_if_exit def in |
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305 | let tmp_lbl ≝ fresh_label def in |
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306 | match tmp_lbl with |
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307 | [ None ⇒ None ? |
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308 | | Some tmp_lbl ⇒ |
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309 | let last_stmt ≝ lookup ? ? (ertl_if_graph def) start_lbl in |
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310 | match last_stmt with |
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311 | [ None ⇒ None ? |
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312 | | Some last_stmt ⇒ |
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313 | let def ≝ |
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314 | add_translates ( |
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315 | save_return ret_regs @ |
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316 | restore_hdws sregs @ |
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317 | [adds_graph [ |
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318 | ertl_st_push srah start_lbl; |
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319 | ertl_st_push sral start_lbl |
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320 | ]] @ |
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321 | [adds_graph [ |
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322 | ertl_st_del_frame start_lbl |
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323 | ]] @ |
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324 | [adds_graph [ |
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325 | ertl_st_hdw_to_hdw RegisterDPL RegisterST0 start_lbl; |
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326 | ertl_st_hdw_to_hdw RegisterDPH RegisterST1 start_lbl |
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327 | ]]) start_lbl tmp_lbl def in |
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328 | match def with |
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329 | [ None ⇒ None ? |
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330 | | Some def ⇒ |
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331 | let def ≝ add_graph tmp_lbl last_stmt def in |
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332 | Some ? (change_exit_label tmp_lbl def) |
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333 | ] |
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334 | ] |
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335 | ]. |
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336 | |
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337 | axiom add_pro_and_epilogue: |
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338 | ∀rs: register_set. |
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339 | ∀params: list register. |
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340 | ∀ret_args: list register. |
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341 | ∀def: ertl_internal_function. |
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342 | option ertl_internal_function. |
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343 | |
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344 | (* |
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345 | dpm: address callee_saved problem |
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346 | definition add_pro_and_epilogue ≝ |
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347 | λrs: register_set. |
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348 | λparams. |
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349 | λret_args. |
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350 | λdef. |
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351 | let 〈def, sra〉 ≝ fresh_regs def 2 in |
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352 | let sral ≝ safe_nth ? 0 sra ? in |
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353 | let srah ≝ safe_nth ? 1 sra ? in |
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354 | let 〈def, sregs〉 ≝ allocate_regs callee_saved def in |
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355 | let def ≝ add_prologue params sral srah sregs def in |
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356 | let def ≝ add_epilogue ret_args sral srah sregs def in |
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357 | def. |
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358 | *) |
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359 | |
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360 | definition set_params_hdw ≝ |
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361 | λparams. |
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362 | match length ? params with |
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363 | [ O ⇒ Some ? [ get_params_hdw_internal ] |
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364 | | _ ⇒ |
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365 | match zip ? ? params parameters with |
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366 | [ None ⇒ None ? |
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367 | | Some zipped_params ⇒ Some ? (restore_hdws zipped_params) |
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368 | ] |
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369 | ]. |
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370 | |
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371 | definition set_param_stack ≝ |
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372 | λoff: nat. |
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373 | λsrcr. |
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374 | λstart_lbl, dest_lbl: label. |
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375 | λdef. |
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376 | let 〈def, addr1〉 ≝ fresh_reg def in |
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377 | let 〈def, addr2〉 ≝ fresh_reg def in |
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378 | let 〈def, tmpr〉 ≝ fresh_reg def in |
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379 | let 〈int_offset, ignore〉 ≝ add_8_with_carry (bitvector_of_nat ? off) int_size false in |
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380 | adds_graph [ |
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381 | ertl_st_int addr2 int_offset start_lbl; |
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382 | ertl_st_get_hdw tmpr RegisterSPL start_lbl; |
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383 | ertl_st_clear_carry start_lbl; |
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384 | ertl_st_op2 Sub addr1 tmpr addr1 start_lbl; |
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385 | ertl_st_get_hdw tmpr RegisterSPH start_lbl; |
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386 | ertl_st_int addr2 (bitvector_of_nat ? 0) start_lbl; |
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387 | ertl_st_op2 Sub addr2 tmpr addr2 start_lbl; |
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388 | ertl_st_store addr1 addr2 srcr start_lbl |
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389 | ] start_lbl dest_lbl def. |
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390 | |
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391 | definition set_params_stack ≝ |
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392 | λparams. |
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393 | match length ? params with |
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394 | [ O ⇒ [ get_params_hdw_internal ] |
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395 | | _ ⇒ mapi ? ? set_param_stack params |
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396 | |
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397 | ]. |
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398 | |
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399 | definition set_params ≝ |
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400 | λparams. |
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401 | let n ≝ min (length ? params) (length ? parameters) in |
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402 | let 〈hdw_params, stack_params〉 ≝ list_split ? n params in |
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403 | match set_params_hdw hdw_params with |
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404 | [ None ⇒ None ? |
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405 | | Some hdw_params' ⇒ Some ? (hdw_params' @ (set_params_stack stack_params)) |
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406 | ]. |
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407 | |
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408 | definition fetch_result ≝ |
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409 | λret_regs. |
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410 | λstart_lbl. |
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411 | match ret_regs with |
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412 | [ nil ⇒ adds_graph [ertl_st_skip start_lbl] start_lbl |
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413 | | cons hd tl ⇒ |
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414 | match tl with |
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415 | [ nil ⇒ |
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416 | adds_graph [ |
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417 | ertl_st_hdw_to_hdw RegisterST0 RegisterDPL start_lbl; |
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418 | ertl_st_get_hdw hd RegisterST0 start_lbl |
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419 | ] start_lbl |
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420 | | cons hd' tl' ⇒ |
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421 | adds_graph [ |
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422 | ertl_st_hdw_to_hdw RegisterST0 RegisterDPL start_lbl; |
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423 | ertl_st_hdw_to_hdw RegisterST1 RegisterDPH start_lbl; |
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424 | ertl_st_get_hdw hd RegisterST0 start_lbl; |
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425 | ertl_st_get_hdw hd' RegisterST1 start_lbl |
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426 | ] start_lbl |
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427 | ] |
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428 | ]. |
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429 | |
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430 | definition translate_call_id ≝ |
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431 | λf. |
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432 | λargs. |
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433 | λret_regs. |
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434 | λstart_lbl, dest_lbl: label. |
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435 | λdef. |
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436 | let nb_args ≝ bitvector_of_nat ? (length ? args) in |
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437 | match set_params args with |
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438 | [ None ⇒ None ? |
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439 | | Some params_args ⇒ |
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440 | add_translates ( |
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441 | params_args @ [ |
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442 | adds_graph [ ertl_st_call_id f nb_args start_lbl ] ; |
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443 | fetch_result ret_regs |
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444 | ]) start_lbl dest_lbl def |
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445 | ]. |
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446 | |
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447 | definition translate_stmt ≝ |
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448 | λlbl: label. |
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449 | λstmt: rtl_statement. |
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450 | λdef: ertl_internal_function. |
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451 | match stmt with |
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452 | [ rtl_st_skip lbl' ⇒ |
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453 | Some ? (add_graph lbl (ertl_st_skip lbl') def) |
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454 | | rtl_st_cost cost_lbl lbl' ⇒ |
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455 | Some ? (add_graph lbl (ertl_st_cost cost_lbl lbl') def) |
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456 | | rtl_st_addr r1 r2 x lbl' ⇒ |
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457 | adds_graph [ |
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458 | ertl_st_addr_l r1 x lbl; |
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459 | ertl_st_addr_h r2 x lbl |
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460 | ] lbl lbl' def |
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461 | | rtl_st_stack_addr r1 r2 lbl' ⇒ |
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462 | adds_graph [ |
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463 | ertl_st_get_hdw r1 RegisterSPL lbl; |
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464 | ertl_st_get_hdw r2 RegisterSPH lbl |
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465 | ] lbl lbl' def |
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466 | | rtl_st_int r i lbl' ⇒ |
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467 | Some ? (add_graph lbl (ertl_st_int r i lbl') def) |
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468 | | rtl_st_move r1 r2 lbl' ⇒ |
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469 | Some ? (add_graph lbl (ertl_st_move r1 r2 lbl') def) |
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470 | | rtl_st_opaccs opaccs d s1 s2 lbl' ⇒ |
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471 | Some ? (add_graph lbl (ertl_st_opaccs opaccs d s1 s2 lbl') def) |
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472 | | rtl_st_op1 op1 d s lbl' ⇒ |
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473 | Some ? (add_graph lbl (ertl_st_op1 op1 d s lbl') def) |
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474 | | rtl_st_op2 op2 d s1 s2 lbl' ⇒ |
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475 | Some ? (add_graph lbl (ertl_st_op2 op2 d s1 s2 lbl') def) |
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476 | | rtl_st_clear_carry lbl' ⇒ |
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477 | Some ? (add_graph lbl (ertl_st_clear_carry lbl') def) |
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478 | | rtl_st_load d a1 a2 lbl' ⇒ |
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479 | Some ? (add_graph lbl (ertl_st_load d a1 a2 lbl') def) |
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480 | | rtl_st_store a1 a2 s lbl' ⇒ |
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481 | Some ? (add_graph lbl (ertl_st_store a1 a2 s lbl') def) |
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482 | | rtl_st_call_id f args ret_regs lbl' ⇒ |
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483 | translate_call_id f args ret_regs lbl lbl' def |
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484 | | rtl_st_call_ptr r1 r2 regs1 regs2 lbl ⇒ None ? (* dpm: todo *) |
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485 | | rtl_st_cond_acc src lbl_true lbl_false ⇒ |
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486 | Some ? (add_graph lbl (ertl_st_cond_acc src lbl_true lbl_false) def) |
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487 | | rtl_st_return ret_regs ⇒ |
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488 | Some ? (add_graph lbl (ertl_st_return ret_regs) def) |
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489 | | rtl_st_tailcall_id ident regs ⇒ None ? (* dpm: impossible *) |
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490 | | rtl_st_tailcall_ptr r1 r2 regs ⇒ None ? (* dpm: impossible *) |
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491 | ]. |
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492 | |
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493 | definition translate_funct_internal ≝ |
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494 | λdef. |
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495 | let nb_params ≝ length ? (rtl_if_params def) in |
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496 | let added_stacksize ≝ max 0 (nb_params - (length ? parameters)) in |
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497 | let new_locals ≝ nub_by ? (eq_identifier ?) ((rtl_if_locals def) @ (rtl_if_params def)) in |
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498 | let def' ≝ |
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499 | mk_ertl_internal_function |
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500 | (rtl_if_luniverse def) (rtl_if_runiverse def) |
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501 | nb_params new_locals ((rtl_if_stacksize def) + added_stacksize) |
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502 | (empty_map ? ?) (rtl_if_entry def) (rtl_if_exit def) in |
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503 | let def' ≝ map_fold ? ? translate_stmt (rtl_if_graph def) def' in |
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504 | let def' ≝ add_pro_and_epilogue register_list_set (rtl_if_params def) (rtl_if_result def) def' in |
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505 | def'. |
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506 | |
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507 | definition translate_funct ≝ |
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508 | λid_def: ident × ?. |
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509 | let 〈id, def〉 ≝ id_def in |
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510 | let def' ≝ |
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511 | match def with |
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512 | [ rtl_f_internal def ⇒ |
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513 | match translate_funct_internal def with |
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514 | [ None ⇒ None ? |
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515 | | Some internal_def ⇒ Some ? (ertl_f_internal internal_def) |
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516 | ] |
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517 | | rtl_f_external def ⇒ Some ? (ertl_f_external def) |
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518 | ] in |
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519 | 〈id, def'〉. |
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520 | |
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521 | definition generate ≝ |
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522 | λstmt. |
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523 | λdef. |
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524 | let entry ≝ fresh_label def in |
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525 | match entry with |
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526 | [ None ⇒ None ? |
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527 | | Some entry ⇒ |
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528 | let def ≝ add_graph entry stmt def in |
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529 | Some ? (change_entry_label entry def) |
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530 | ]. |
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531 | |
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532 | let rec find_and_remove_first_cost_label_internal (def: ertl_internal_function) |
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533 | (lbl: label) (n: nat) on n ≝ |
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534 | match n with |
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535 | [ O ⇒ None ? |
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536 | | S n' ⇒ |
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537 | let statement_at_label ≝ lookup ? ? (ertl_if_graph def) lbl in |
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538 | match statement_at_label with |
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539 | [ None ⇒ None ? |
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540 | | Some statement ⇒ |
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541 | match statement with |
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542 | [ ertl_st_cost cost_lbl next_lbl ⇒ |
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543 | let def' ≝ add_graph lbl (ertl_st_skip next_lbl) def in |
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544 | Some ? 〈Some ? cost_lbl, def'〉 |
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545 | | ertl_st_cond_acc _ _ _ ⇒ Some ? 〈None ?, def〉 |
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546 | | ertl_st_return _⇒ Some ? 〈None ?, def〉 |
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547 | | ertl_st_skip lbl' ⇒ find_and_remove_first_cost_label_internal def lbl' n' |
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548 | | ertl_st_comment _ lbl' ⇒ |
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549 | find_and_remove_first_cost_label_internal def lbl' n' |
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550 | | ertl_st_get_hdw _ _ lbl' ⇒ |
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551 | find_and_remove_first_cost_label_internal def lbl' n' |
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552 | | ertl_st_set_hdw _ _ lbl' ⇒ |
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553 | find_and_remove_first_cost_label_internal def lbl' n' |
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554 | | ertl_st_hdw_to_hdw _ _ lbl' ⇒ |
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555 | find_and_remove_first_cost_label_internal def lbl' n' |
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556 | | ertl_st_pop _ lbl' ⇒ |
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557 | find_and_remove_first_cost_label_internal def lbl' n' |
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558 | | ertl_st_push _ lbl' ⇒ |
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559 | find_and_remove_first_cost_label_internal def lbl' n' |
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560 | | ertl_st_addr_h _ _ lbl' ⇒ |
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561 | find_and_remove_first_cost_label_internal def lbl' n' |
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562 | | ertl_st_addr_l _ _ lbl' ⇒ |
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563 | find_and_remove_first_cost_label_internal def lbl' n' |
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564 | | ertl_st_int _ _ lbl' ⇒ |
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565 | find_and_remove_first_cost_label_internal def lbl' n' |
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566 | | ertl_st_move _ _ lbl' ⇒ |
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567 | find_and_remove_first_cost_label_internal def lbl' n' |
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568 | | ertl_st_opaccs _ _ _ _ lbl' ⇒ |
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569 | find_and_remove_first_cost_label_internal def lbl' n' |
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570 | | ertl_st_op2 _ _ _ _ lbl' ⇒ |
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571 | find_and_remove_first_cost_label_internal def lbl' n' |
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572 | | ertl_st_op1 _ _ _ lbl' ⇒ |
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573 | find_and_remove_first_cost_label_internal def lbl' n' |
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574 | | ertl_st_clear_carry lbl' ⇒ |
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575 | find_and_remove_first_cost_label_internal def lbl' n' |
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576 | | ertl_st_load _ _ _ lbl' ⇒ |
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577 | find_and_remove_first_cost_label_internal def lbl' n' |
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578 | | ertl_st_store _ _ _ lbl' ⇒ |
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579 | find_and_remove_first_cost_label_internal def lbl' n' |
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580 | | ertl_st_call_id _ _ lbl' ⇒ |
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581 | find_and_remove_first_cost_label_internal def lbl' n' |
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582 | | ertl_st_new_frame lbl' ⇒ |
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583 | find_and_remove_first_cost_label_internal def lbl' n' |
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584 | | ertl_st_del_frame lbl' ⇒ |
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585 | find_and_remove_first_cost_label_internal def lbl' n' |
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586 | | ertl_st_frame_size _ lbl' ⇒ |
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587 | find_and_remove_first_cost_label_internal def lbl' n' |
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588 | ] |
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589 | ] |
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590 | ]. |
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591 | |
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592 | axiom num_entries: |
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593 | ∀A: Type[0]. |
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594 | ∀g: graph A. |
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595 | nat. |
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596 | |
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597 | definition find_and_remove_first_cost_label ≝ |
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598 | λdef. |
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599 | find_and_remove_first_cost_label_internal def (ertl_if_entry def) (num_entries ? (ertl_if_graph def)). |
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600 | |
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601 | definition move_first_cost_label_up_internal ≝ |
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602 | λdef. |
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603 | let cost_label_def ≝ find_and_remove_first_cost_label def in |
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604 | match cost_label_def with |
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605 | [ None ⇒ None ? |
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606 | | Some cost_label_def ⇒ |
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607 | let 〈cost_label, def〉 ≝ cost_label_def in |
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608 | match cost_label with |
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609 | [ None ⇒ Some ? def |
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610 | | Some cost_label ⇒ generate (ertl_st_cost cost_label (ertl_if_entry def)) def |
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611 | ] |
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612 | ]. |
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613 | |
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614 | definition move_first_cost_label_up ≝ |
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615 | λid_def: ident × ?. |
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616 | let 〈id, def〉 ≝ id_def in |
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617 | let def' ≝ |
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618 | match def with |
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619 | [ ertl_f_internal int_fun ⇒ |
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620 | let cost_label_def ≝ move_first_cost_label_up_internal int_fun in |
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621 | match cost_label_def with |
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622 | [ None ⇒ None ? |
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623 | | Some cost_label_def ⇒ |
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624 | Some ? (ertl_f_internal cost_label_def) |
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625 | ] |
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626 | | ertl_f_external _ ⇒ Some ? def |
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627 | ] in |
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628 | match def' with |
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629 | [ None ⇒ None ? |
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630 | | Some def' ⇒ Some ? 〈id, def'〉 |
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631 | ]. |
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632 | |
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633 | definition translate_internal ≝ |
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634 | λfunct. |
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635 | let 〈id, funct〉 ≝ translate_funct funct in |
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636 | match funct with |
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637 | [ None ⇒ None ? |
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638 | | Some funct ⇒ move_first_cost_label_up 〈id, funct〉 |
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639 | ]. |
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640 | |
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641 | let rec strip_none (A: Type[0]) (l: list (option A)) on l: list A ≝ |
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642 | match l with |
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643 | [ nil ⇒ nil ? |
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644 | | cons hd tl ⇒ |
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645 | match hd with |
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646 | [ None ⇒ strip_none A tl |
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647 | | Some hd ⇒ hd :: strip_none A tl |
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648 | ] |
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649 | ]. |
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650 | |
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651 | definition translate: rtl_program → ertl_program ≝ |
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652 | λp. |
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653 | let p ≝ tailcall_simplify p in |
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654 | let rtl_pr_vars' ≝ rtl_pr_vars p in |
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655 | let rtl_pr_functs' ≝ map … translate_internal (rtl_pr_functs p) in |
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656 | let rtl_pr_functs_filtered ≝ strip_none ? rtl_pr_functs' in |
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657 | let rtl_pr_main' ≝ rtl_pr_main p in |
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658 | mk_ertl_program rtl_pr_vars' rtl_pr_functs_filtered rtl_pr_main'. |
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