1 | include "joint/Joint_paolo.ma". |
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2 | |
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3 | inductive rtl_argument : Type[0] ≝ |
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4 | | Reg : register → rtl_argument |
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5 | | Imm : Byte → rtl_argument. |
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6 | |
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7 | coercion reg_to_rtl_argument : ∀r : register.rtl_argument ≝ Reg |
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8 | on _r : register to rtl_argument. |
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9 | |
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10 | coercion byte_to_rtl_argument : ∀b : Byte.rtl_argument ≝ Imm |
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11 | on _b : Byte to rtl_argument. |
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12 | |
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13 | definition imm_nat : nat → rtl_argument ≝ λn.Imm (nat_to_bv ? n). |
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14 | |
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15 | coercion nat_to_rtl_argument : ∀n : nat.rtl_argument ≝ imm_nat |
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16 | on _n : nat to rtl_argument. |
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17 | |
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18 | inductive rtl_seq : Type[0] ≝ |
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19 | | rtl_stack_address: register → register → rtl_seq. |
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20 | |
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21 | inductive rtl_call : Type[0] ≝ |
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22 | | rtl_call_ptr: register → register → list rtl_argument → list register → rtl_call. |
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23 | |
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24 | inductive rtl_tailcall : Type[0] ≝ |
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25 | | rtl_tailcall_id: ident → list rtl_argument → rtl_tailcall |
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26 | | rtl_tailcall_ptr: register → register → list rtl_argument → rtl_tailcall. |
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27 | |
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28 | definition rtl_uns_params ≝ mk_unserialized_params |
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29 | (mk_step_params |
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30 | (* acc_a_reg ≝ *) register |
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31 | (* acc_b_reg ≝ *) register |
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32 | (* acc_a_arg ≝ *) rtl_argument |
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33 | (* acc_b_arg ≝ *) rtl_argument |
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34 | (* dpl_reg ≝ *) register |
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35 | (* dph_reg ≝ *) register |
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36 | (* dpl_arg ≝ *) rtl_argument |
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37 | (* dph_arg ≝ *) rtl_argument |
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38 | (* snd_arg ≝ *) rtl_argument |
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39 | (* pair_move ≝ *) (register × rtl_argument) |
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40 | (* call_args ≝ *) (list rtl_argument) |
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41 | (* call_dest ≝ *) (list register) |
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42 | (* ext_seq ≝ *) rtl_seq |
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43 | (* ext_call ≝ *) rtl_call |
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44 | (* ext_tailcall ≝ *) rtl_tailcall |
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45 | ) |
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46 | (mk_local_params |
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47 | (mk_funct_params |
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48 | (* resultT ≝ *) (list register) |
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49 | (* paramsT ≝ *) (list register)) |
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50 | (* localsT ≝ *) register). |
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51 | |
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52 | definition rtl_params ≝ mk_graph_params rtl_uns_params. |
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53 | definition lin_rtl_params ≝ mk_lin_params rtl_uns_params. |
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54 | definition rtl_internal_function ≝ |
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55 | λglobals. joint_internal_function globals rtl_params. |
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56 | definition rtl_program ≝ joint_program rtl_params. |
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57 | definition rtl_step ≝ joint_step rtl_params. |
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58 | definition rtl_seq ≝ joint_seq rtl_params. |
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59 | definition rtl_statement ≝ joint_statement rtl_params. |
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60 | |
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61 | interpretation "move" 'mov r a = (MOVE ? ? (mk_Prod ? rtl_argument r a)). |
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62 | |
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63 | (* aid unification *) |
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64 | include "hints_declaration.ma". |
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65 | unification hint 0 ≔ |
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66 | (*---------------*) ⊢ |
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67 | acc_a_reg rtl_params ≡ register. |
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68 | unification hint 0 ≔ |
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69 | (*---------------*) ⊢ |
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70 | acc_b_reg rtl_params ≡ register. |
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71 | unification hint 0 ≔ |
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72 | (*---------------*) ⊢ |
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73 | acc_a_arg rtl_params ≡ rtl_argument. |
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74 | unification hint 0 ≔ |
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75 | (*---------------*) ⊢ |
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76 | acc_b_arg rtl_params ≡ rtl_argument. |
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77 | unification hint 0 ≔ |
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78 | (*---------------*) ⊢ |
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79 | dpl_reg rtl_params ≡ register. |
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80 | unification hint 0 ≔ |
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81 | (*---------------*) ⊢ |
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82 | dph_reg rtl_params ≡ register. |
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83 | unification hint 0 ≔ |
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84 | (*---------------*) ⊢ |
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85 | dpl_arg rtl_params ≡ rtl_argument. |
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86 | unification hint 0 ≔ |
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87 | (*---------------*) ⊢ |
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88 | dph_arg rtl_params ≡ rtl_argument. |
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89 | unification hint 0 ≔ |
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90 | (*---------------*) ⊢ |
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91 | snd_arg rtl_params ≡ rtl_argument. |
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92 | unification hint 0 ≔ |
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93 | (*---------------*) ⊢ |
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94 | pair_move rtl_params ≡ register × rtl_argument. |
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95 | unification hint 0 ≔ |
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96 | (*---------------*) ⊢ |
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97 | call_args rtl_params ≡ list rtl_argument. |
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98 | unification hint 0 ≔ |
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99 | (*---------------*) ⊢ |
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100 | call_dest rtl_params ≡ list register. |
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101 | |
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102 | unification hint 0 ≔ |
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103 | (*---------------*) ⊢ |
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104 | ext_seq rtl_params ≡ rtl_seq. |
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105 | unification hint 0 ≔ |
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106 | (*---------------*) ⊢ |
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107 | ext_call rtl_params ≡ rtl_call. |
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108 | unification hint 0 ≔ |
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109 | (*---------------*) ⊢ |
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110 | ext_tailcall rtl_params ≡ rtl_tailcall. |
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111 | unification hint 0 ≔ globals |
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112 | (*---------------*) ⊢ |
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113 | joint_step rtl_params globals ≡ rtl_step globals. |
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114 | |
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115 | unification hint 0 ≔ globals |
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116 | (*---------------*) ⊢ |
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117 | joint_seq rtl_params globals ≡ rtl_seq globals. |
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118 | unification hint 0 ≔ globals |
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119 | (*---------------*) ⊢ |
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120 | joint_statement (stmt_pars (graph_params_to_params rtl_params)) globals ≡ rtl_statement globals. |
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121 | |
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122 | coercion reg_to_rtl_snd_argument : ∀r : register.snd_arg rtl_params ≝ Reg |
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123 | on _r : register to snd_arg rtl_params. |
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124 | coercion byte_to_rtl_snd_argument : ∀b : Byte.snd_arg rtl_params ≝ Imm |
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125 | on _b : Byte to snd_arg rtl_params. |
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126 | |
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127 | |
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128 | (************ Same without tail calls ****************) |
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129 | |
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130 | definition rtlntc_params ≝ mk_graph_params (mk_unserialized_params |
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131 | (mk_step_params |
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132 | (* acc_a_reg ≝ *) register |
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133 | (* acc_b_reg ≝ *) register |
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134 | (* acc_a_arg ≝ *) rtl_argument |
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135 | (* acc_b_arg ≝ *) rtl_argument |
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136 | (* dpl_reg ≝ *) register |
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137 | (* dph_reg ≝ *) register |
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138 | (* dpl_arg ≝ *) rtl_argument |
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139 | (* dph_arg ≝ *) rtl_argument |
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140 | (* snd_arg ≝ *) rtl_argument |
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141 | (* pair_move ≝ *) (register × rtl_argument) |
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142 | (* call_args ≝ *) (list rtl_argument) |
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143 | (* call_dest ≝ *) (list register) |
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144 | (* ext_seq ≝ *) rtl_seq |
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145 | (* ext_call ≝ *) rtl_call |
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146 | (* ext_tailcall ≝ *) void |
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147 | ) |
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148 | (mk_local_params |
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149 | (mk_funct_params |
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150 | (* resultT ≝ *) (list register) |
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151 | (* paramsT ≝ *) (list register)) |
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152 | (* localsT ≝ *) register)). |
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153 | |
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154 | definition rtlntc_statement ≝ joint_statement (rtlntc_params : params). |
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155 | |
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156 | definition rtlntc_internal_function ≝ |
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157 | λglobals. joint_internal_function … globals rtlntc_params. |
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158 | |
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159 | definition rtlntc_program ≝ joint_program rtlntc_params. |
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