1 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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2 | (* Interpret.ma: Operational semantics for the 8051/8052 processor. *) |
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3 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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4 | |
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5 | (* include "ASM.ma". *) |
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6 | include "Arithmetic.ma". |
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7 | include "BitVectorTrie.ma". |
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8 | |
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9 | ninductive SFR8051: Type[0] ≝ |
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10 | SFR_SP: SFR8051 |
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11 | | SFR_DPL: SFR8051 |
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12 | | SFR_DPH: SFR8051 |
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13 | | SFR_PCON: SFR8051 |
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14 | | SFR_TCON: SFR8051 |
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15 | | SFR_TMOD: SFR8051 |
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16 | | SFR_TL0: SFR8051 |
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17 | | SFR_TL1: SFR8051 |
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18 | | SFR_TH0: SFR8051 |
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19 | | SFR_TH1: SFR8051 |
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20 | | SFR_P1: SFR8051 |
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21 | | SFR_SCON: SFR8051 |
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22 | | SFR_SBUF: SFR8051 |
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23 | | SFR_IE: SFR8051 |
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24 | | SFR_P3: SFR8051 |
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25 | | SFR_IP: SFR8051 |
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26 | | SFR_PSW: SFR8051 |
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27 | | SFR_ACC_A: SFR8051 |
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28 | | SFR_ACC_B: SFR8051. |
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29 | |
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30 | ndefinition sfr_8051_index ≝ |
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31 | λs: SFR8051. |
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32 | match s with |
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33 | [ SFR_SP ⇒ Z |
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34 | | SFR_DPL ⇒ S Z |
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35 | | SFR_DPH ⇒ two |
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36 | | SFR_PCON ⇒ three |
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37 | | SFR_TCON ⇒ four |
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38 | | SFR_TMOD ⇒ five |
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39 | | SFR_TL0 ⇒ six |
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40 | | SFR_TL1 ⇒ seven |
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41 | | SFR_TH0 ⇒ eight |
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42 | | SFR_TH1 ⇒ nine |
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43 | | SFR_P1 ⇒ ten |
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44 | | SFR_SCON ⇒ eleven |
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45 | | SFR_SBUF ⇒ twelve |
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46 | | SFR_IE ⇒ thirteen |
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47 | | SFR_P3 ⇒ fourteen |
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48 | | SFR_IP ⇒ fifteen |
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49 | | SFR_PSW ⇒ sixteen |
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50 | | SFR_ACC_A ⇒ seventeen |
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51 | | SFR_ACC_B ⇒ eighteen |
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52 | ]. |
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53 | |
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54 | ninductive SFR8052: Type[0] ≝ |
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55 | SFR_T2CON: SFR8052 |
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56 | | SFR_RCAP2L: SFR8052 |
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57 | | SFR_RCAP2H: SFR8052 |
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58 | | SFR_TL2: SFR8052 |
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59 | | SFR_TH2: SFR8052. |
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60 | |
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61 | ndefinition sfr_8052_index ≝ |
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62 | λs: SFR8052. |
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63 | match s with |
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64 | [ SFR_T2CON ⇒ Z |
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65 | | SFR_RCAP2L ⇒ S Z |
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66 | | SFR_RCAP2H ⇒ two |
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67 | | SFR_TL2 ⇒ three |
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68 | | SFR_TH2 ⇒ four |
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69 | ]. |
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70 | |
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71 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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72 | (* Processor status. *) |
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73 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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74 | nrecord Status: Type[0] ≝ |
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75 | { |
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76 | code_memory: BitVectorTrie Byte sixteen; |
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77 | low_internal_ram: BitVectorTrie Byte seven; |
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78 | high_internal_ram: BitVectorTrie Byte seven; |
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79 | external_ram: BitVectorTrie Byte sixteen; |
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80 | |
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81 | program_counter: Word; |
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82 | |
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83 | special_function_registers_8051: Vector Byte nineteen; |
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84 | special_function_registers_8052: Vector Byte five |
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85 | }. |
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86 | |
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87 | ncheck special_function_registers_8051. |
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88 | |
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89 | naxiom sfr8051_index_nineteen: |
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90 | ∀i: SFR8051. |
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91 | sfr_8051_index i < nineteen. |
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92 | |
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93 | naxiom sfr8052_index_five: |
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94 | ∀i: SFR8052. |
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95 | sfr_8052_index i < five. |
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96 | |
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97 | ndefinition get_8051_sfr ≝ |
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98 | λs: Status. |
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99 | λi: SFR8051. |
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100 | let sfr ≝ special_function_registers_8051 s in |
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101 | let index ≝ sfr_8051_index i in |
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102 | get_index … sfr index ?. |
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103 | napply (sfr8051_index_nineteen i). |
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104 | nqed. |
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105 | |
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106 | ndefinition get_8052_sfr ≝ |
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107 | λs: Status. |
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108 | λi: SFR8052. |
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109 | let sfr ≝ special_function_registers_8052 s in |
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110 | let index ≝ sfr_8052_index i in |
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111 | get_index … sfr index ?. |
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112 | napply (sfr8052_index_five i). |
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113 | nqed. |
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114 | |
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115 | ndefinition set_8051_sfr ≝ |
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116 | λs: Status. |
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117 | λi: SFR8051. |
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118 | λb: Byte. |
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119 | let index ≝ sfr_8051_index i in |
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120 | let old_code_memory ≝ code_memory s in |
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121 | let old_low_internal_ram ≝ low_internal_ram s in |
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122 | let old_high_internal_ram ≝ high_internal_ram s in |
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123 | let old_external_ram ≝ external_ram s in |
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124 | let old_program_counter ≝ program_counter s in |
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125 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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126 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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127 | let new_special_function_registers_8051 ≝ |
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128 | cic:/matita/ng/Vector/set_index.fix(0,3,2) Byte nineteen old_special_function_registers_8051 index b ? in |
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129 | mk_Status old_code_memory |
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130 | old_low_internal_ram |
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131 | old_high_internal_ram |
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132 | old_external_ram |
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133 | old_program_counter |
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134 | new_special_function_registers_8051 |
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135 | old_special_function_registers_8052. |
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136 | napply (sfr8051_index_nineteen i). |
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137 | nqed. |
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138 | |
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139 | ndefinition set_8052_sfr ≝ |
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140 | λs: Status. |
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141 | λi: SFR8052. |
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142 | λb: Byte. |
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143 | let index ≝ sfr_8052_index i in |
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144 | let old_code_memory ≝ code_memory s in |
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145 | let old_low_internal_ram ≝ low_internal_ram s in |
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146 | let old_high_internal_ram ≝ high_internal_ram s in |
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147 | let old_external_ram ≝ external_ram s in |
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148 | let old_program_counter ≝ program_counter s in |
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149 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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150 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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151 | let new_special_function_registers_8052 ≝ |
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152 | cic:/matita/ng/Vector/set_index.fix(0,3,2) Byte five old_special_function_registers_8052 index b ? in |
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153 | mk_Status old_code_memory |
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154 | old_low_internal_ram |
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155 | old_high_internal_ram |
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156 | old_external_ram |
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157 | old_program_counter |
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158 | old_special_function_registers_8051 |
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159 | new_special_function_registers_8052. |
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160 | napply (sfr8052_index_five i). |
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161 | nqed. |
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162 | |
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163 | ndefinition set_program_counter ≝ |
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164 | λs: Status. |
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165 | λi: SFR8052. |
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166 | λw: Word. |
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167 | let index ≝ sfr_8052_index i in |
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168 | let old_code_memory ≝ code_memory s in |
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169 | let old_low_internal_ram ≝ low_internal_ram s in |
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170 | let old_high_internal_ram ≝ high_internal_ram s in |
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171 | let old_external_ram ≝ external_ram s in |
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172 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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173 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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174 | mk_Status old_code_memory |
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175 | old_low_internal_ram |
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176 | old_high_internal_ram |
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177 | old_external_ram |
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178 | w |
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179 | old_special_function_registers_8051 |
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180 | old_special_function_registers_8052. |
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181 | |
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182 | ndefinition set_code_memory ≝ |
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183 | λs: Status. |
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184 | λi: SFR8052. |
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185 | λr: BitVectorTrie Byte sixteen. |
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186 | let index ≝ sfr_8052_index i in |
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187 | let old_low_internal_ram ≝ low_internal_ram s in |
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188 | let old_high_internal_ram ≝ high_internal_ram s in |
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189 | let old_external_ram ≝ external_ram s in |
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190 | let old_program_counter ≝ program_counter s in |
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191 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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192 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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193 | mk_Status r |
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194 | old_low_internal_ram |
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195 | old_high_internal_ram |
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196 | old_external_ram |
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197 | old_program_counter |
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198 | old_special_function_registers_8051 |
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199 | old_special_function_registers_8052. |
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200 | |
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201 | ndefinition set_low_internal_ram ≝ |
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202 | λs: Status. |
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203 | λi: SFR8052. |
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204 | λr: BitVectorTrie Byte seven. |
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205 | let index ≝ sfr_8052_index i in |
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206 | let old_code_memory ≝ code_memory s in |
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207 | let old_high_internal_ram ≝ high_internal_ram s in |
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208 | let old_external_ram ≝ external_ram s in |
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209 | let old_program_counter ≝ program_counter s in |
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210 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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211 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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212 | mk_Status old_code_memory |
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213 | r |
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214 | old_high_internal_ram |
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215 | old_external_ram |
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216 | old_program_counter |
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217 | old_special_function_registers_8051 |
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218 | old_special_function_registers_8052. |
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219 | |
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220 | ndefinition get_cy_flag ≝ |
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221 | λs: Status. |
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222 | let sfr ≝ special_function_registers_8051 s in |
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223 | let psw ≝ get_index … (sfr_8051_index SFR_PSW) s ? in |
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224 | get_index … Z psw ?. |
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225 | |
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226 | ndefinition set_high_internal_ram ≝ |
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227 | λs: Status. |
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228 | λi: SFR8052. |
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229 | λr: BitVectorTrie Byte seven. |
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230 | let index ≝ sfr_8052_index i in |
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231 | let old_code_memory ≝ code_memory s in |
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232 | let old_low_internal_ram ≝ low_internal_ram s in |
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233 | let old_high_internal_ram ≝ high_internal_ram s in |
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234 | let old_external_ram ≝ external_ram s in |
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235 | let old_program_counter ≝ program_counter s in |
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236 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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237 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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238 | mk_Status old_code_memory |
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239 | old_low_internal_ram |
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240 | r |
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241 | old_external_ram |
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242 | old_program_counter |
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243 | old_special_function_registers_8051 |
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244 | old_special_function_registers_8052. |
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245 | |
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246 | ndefinition initialise_status ≝ |
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247 | let status ≝ mk_Status (Stub Byte sixteen) |
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248 | (Stub Byte seven) |
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249 | (Stub Byte seven) |
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250 | (Stub Byte sixteen) |
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251 | (zero sixteen) |
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252 | (replicate Byte nineteen (zero eight)) |
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253 | (replicate Byte five (zero eight)) in |
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254 | status. |
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