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 | ndefinition Time ≝ Nat. |
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10 | |
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11 | ninductive SerialBufferType: Type[0] ≝ |
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12 | Eight: Byte → SerialBufferType |
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13 | | Nine: Bit → Byte → SerialBufferType. |
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14 | |
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15 | ninductive LineType: Type[0] ≝ |
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16 | P1: Byte → LineType |
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17 | | P3: Byte → LineType |
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18 | | SerialBuffer: SerialBufferType → LineType. |
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19 | |
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20 | (* What is a continuation, now? *) |
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21 | |
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22 | ninductive SFR8051: Type[0] ≝ |
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23 | SFR_SP: SFR8051 |
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24 | | SFR_DPL: SFR8051 |
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25 | | SFR_DPH: SFR8051 |
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26 | | SFR_PCON: SFR8051 |
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27 | | SFR_TCON: SFR8051 |
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28 | | SFR_TMOD: SFR8051 |
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29 | | SFR_TL0: SFR8051 |
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30 | | SFR_TL1: SFR8051 |
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31 | | SFR_TH0: SFR8051 |
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32 | | SFR_TH1: SFR8051 |
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33 | | SFR_P1: SFR8051 |
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34 | | SFR_SCON: SFR8051 |
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35 | | SFR_SBUF: SFR8051 |
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36 | | SFR_IE: SFR8051 |
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37 | | SFR_P3: SFR8051 |
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38 | | SFR_IP: SFR8051 |
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39 | | SFR_PSW: SFR8051 |
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40 | | SFR_ACC_A: SFR8051 |
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41 | | SFR_ACC_B: SFR8051. |
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42 | |
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43 | ndefinition sfr_8051_index ≝ |
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44 | λs: SFR8051. |
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45 | match s with |
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46 | [ SFR_SP ⇒ Z |
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47 | | SFR_DPL ⇒ S Z |
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48 | | SFR_DPH ⇒ two |
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49 | | SFR_PCON ⇒ three |
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50 | | SFR_TCON ⇒ four |
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51 | | SFR_TMOD ⇒ five |
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52 | | SFR_TL0 ⇒ six |
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53 | | SFR_TL1 ⇒ seven |
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54 | | SFR_TH0 ⇒ eight |
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55 | | SFR_TH1 ⇒ nine |
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56 | | SFR_P1 ⇒ ten |
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57 | | SFR_SCON ⇒ eleven |
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58 | | SFR_SBUF ⇒ twelve |
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59 | | SFR_IE ⇒ thirteen |
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60 | | SFR_P3 ⇒ fourteen |
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61 | | SFR_IP ⇒ fifteen |
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62 | | SFR_PSW ⇒ sixteen |
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63 | | SFR_ACC_A ⇒ seventeen |
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64 | | SFR_ACC_B ⇒ eighteen |
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65 | ]. |
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66 | |
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67 | ninductive SFR8052: Type[0] ≝ |
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68 | SFR_T2CON: SFR8052 |
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69 | | SFR_RCAP2L: SFR8052 |
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70 | | SFR_RCAP2H: SFR8052 |
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71 | | SFR_TL2: SFR8052 |
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72 | | SFR_TH2: SFR8052. |
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73 | |
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74 | ndefinition sfr_8052_index ≝ |
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75 | λs: SFR8052. |
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76 | match s with |
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77 | [ SFR_T2CON ⇒ Z |
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78 | | SFR_RCAP2L ⇒ S Z |
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79 | | SFR_RCAP2H ⇒ two |
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80 | | SFR_TL2 ⇒ three |
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81 | | SFR_TH2 ⇒ four |
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82 | ]. |
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83 | |
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84 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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85 | (* Processor status. *) |
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86 | (* -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= *) |
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87 | nrecord Status: Type[0] ≝ |
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88 | { |
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89 | code_memory: BitVectorTrie Byte sixteen; |
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90 | low_internal_ram: BitVectorTrie Byte seven; |
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91 | high_internal_ram: BitVectorTrie Byte seven; |
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92 | external_ram: BitVectorTrie Byte sixteen; |
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93 | |
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94 | program_counter: Word; |
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95 | |
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96 | special_function_registers_8051: Vector Byte nineteen; |
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97 | special_function_registers_8052: Vector Byte five; |
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98 | |
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99 | p1_latch: Byte; |
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100 | p3_latch: Byte |
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101 | }. |
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102 | |
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103 | naxiom sfr8051_index_nineteen: |
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104 | ∀i: SFR8051. |
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105 | sfr_8051_index i < nineteen. |
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106 | |
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107 | naxiom sfr8052_index_five: |
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108 | ∀i: SFR8052. |
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109 | sfr_8052_index i < five. |
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110 | |
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111 | ndefinition set_p1_latch ≝ |
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112 | λs: Status. |
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113 | λb: Byte. |
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114 | let old_code_memory ≝ code_memory s in |
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115 | let old_low_internal_ram ≝ low_internal_ram s in |
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116 | let old_high_internal_ram ≝ high_internal_ram s in |
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117 | let old_external_ram ≝ external_ram s in |
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118 | let old_program_counter ≝ program_counter s in |
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119 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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120 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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121 | let old_p3_latch ≝ p3_latch s in |
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122 | mk_Status old_code_memory |
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123 | old_low_internal_ram |
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124 | old_high_internal_ram |
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125 | old_external_ram |
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126 | old_program_counter |
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127 | old_special_function_registers_8051 |
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128 | old_special_function_registers_8052 |
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129 | b |
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130 | old_p3_latch. |
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131 | |
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132 | ndefinition set_p3_latch ≝ |
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133 | λs: Status. |
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134 | λb: Byte. |
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135 | let old_code_memory ≝ code_memory s in |
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136 | let old_low_internal_ram ≝ low_internal_ram s in |
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137 | let old_high_internal_ram ≝ high_internal_ram s in |
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138 | let old_external_ram ≝ external_ram s in |
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139 | let old_program_counter ≝ program_counter s in |
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140 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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141 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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142 | let old_p1_latch ≝ p1_latch s in |
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143 | mk_Status old_code_memory |
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144 | old_low_internal_ram |
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145 | old_high_internal_ram |
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146 | old_external_ram |
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147 | old_program_counter |
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148 | old_special_function_registers_8051 |
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149 | old_special_function_registers_8052 |
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150 | old_p1_latch |
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151 | b. |
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152 | |
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153 | ndefinition get_8051_sfr ≝ |
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154 | λs: Status. |
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155 | λi: SFR8051. |
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156 | let sfr ≝ special_function_registers_8051 s in |
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157 | let index ≝ sfr_8051_index i in |
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158 | get_index … sfr index ?. |
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159 | napply (sfr8051_index_nineteen i). |
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160 | nqed. |
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161 | |
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162 | ndefinition get_8052_sfr ≝ |
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163 | λs: Status. |
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164 | λi: SFR8052. |
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165 | let sfr ≝ special_function_registers_8052 s in |
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166 | let index ≝ sfr_8052_index i in |
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167 | get_index … sfr index ?. |
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168 | napply (sfr8052_index_five i). |
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169 | nqed. |
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170 | |
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171 | ndefinition set_8051_sfr ≝ |
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172 | λs: Status. |
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173 | λi: SFR8051. |
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174 | λb: Byte. |
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175 | let index ≝ sfr_8051_index i in |
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176 | let old_code_memory ≝ code_memory s in |
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177 | let old_low_internal_ram ≝ low_internal_ram s in |
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178 | let old_high_internal_ram ≝ high_internal_ram s in |
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179 | let old_external_ram ≝ external_ram s in |
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180 | let old_program_counter ≝ program_counter s in |
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181 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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182 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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183 | let new_special_function_registers_8051 ≝ |
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184 | cic:/matita/ng/Vector/set_index.fix(0,3,2) Byte nineteen old_special_function_registers_8051 index b ? in |
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185 | let old_p1_latch ≝ p1_latch s in |
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186 | let old_p3_latch ≝ p3_latch s in |
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187 | mk_Status old_code_memory |
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188 | old_low_internal_ram |
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189 | old_high_internal_ram |
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190 | old_external_ram |
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191 | old_program_counter |
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192 | new_special_function_registers_8051 |
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193 | old_special_function_registers_8052 |
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194 | old_p1_latch |
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195 | old_p3_latch. |
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196 | napply (sfr8051_index_nineteen i). |
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197 | nqed. |
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198 | |
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199 | ndefinition set_8052_sfr ≝ |
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200 | λs: Status. |
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201 | λi: SFR8052. |
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202 | λb: Byte. |
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203 | let index ≝ sfr_8052_index i in |
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204 | let old_code_memory ≝ code_memory s in |
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205 | let old_low_internal_ram ≝ low_internal_ram s in |
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206 | let old_high_internal_ram ≝ high_internal_ram s in |
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207 | let old_external_ram ≝ external_ram s in |
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208 | let old_program_counter ≝ program_counter s in |
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209 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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210 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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211 | let new_special_function_registers_8052 ≝ |
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212 | cic:/matita/ng/Vector/set_index.fix(0,3,2) Byte five old_special_function_registers_8052 index b ? in |
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213 | let old_p1_latch ≝ p1_latch s in |
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214 | let old_p3_latch ≝ p3_latch s in |
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215 | mk_Status old_code_memory |
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216 | old_low_internal_ram |
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217 | old_high_internal_ram |
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218 | old_external_ram |
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219 | old_program_counter |
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220 | old_special_function_registers_8051 |
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221 | new_special_function_registers_8052 |
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222 | old_p1_latch |
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223 | old_p3_latch. |
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224 | napply (sfr8052_index_five i). |
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225 | nqed. |
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226 | |
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227 | ndefinition set_program_counter ≝ |
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228 | λs: Status. |
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229 | λw: Word. |
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230 | let old_code_memory ≝ code_memory s in |
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231 | let old_low_internal_ram ≝ low_internal_ram s in |
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232 | let old_high_internal_ram ≝ high_internal_ram s in |
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233 | let old_external_ram ≝ external_ram s in |
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234 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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235 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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236 | let old_p1_latch ≝ p1_latch s in |
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237 | let old_p3_latch ≝ p3_latch 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 | old_high_internal_ram |
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241 | old_external_ram |
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242 | w |
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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 | old_p1_latch |
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246 | old_p3_latch. |
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247 | |
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248 | ndefinition set_code_memory ≝ |
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249 | λs: Status. |
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250 | λr: BitVectorTrie Byte sixteen. |
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251 | let old_low_internal_ram ≝ low_internal_ram s in |
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252 | let old_high_internal_ram ≝ high_internal_ram s in |
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253 | let old_external_ram ≝ external_ram s in |
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254 | let old_program_counter ≝ program_counter s in |
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255 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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256 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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257 | let old_p1_latch ≝ p1_latch s in |
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258 | let old_p3_latch ≝ p3_latch s in |
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259 | mk_Status r |
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260 | old_low_internal_ram |
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261 | old_high_internal_ram |
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262 | old_external_ram |
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263 | old_program_counter |
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264 | old_special_function_registers_8051 |
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265 | old_special_function_registers_8052 |
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266 | old_p1_latch |
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267 | old_p3_latch. |
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268 | |
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269 | ndefinition set_low_internal_ram ≝ |
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270 | λs: Status. |
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271 | λr: BitVectorTrie Byte seven. |
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272 | let old_code_memory ≝ code_memory s in |
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273 | let old_high_internal_ram ≝ high_internal_ram s in |
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274 | let old_external_ram ≝ external_ram s in |
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275 | let old_program_counter ≝ program_counter s in |
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276 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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277 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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278 | let old_p1_latch ≝ p1_latch s in |
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279 | let old_p3_latch ≝ p3_latch s in |
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280 | mk_Status old_code_memory |
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281 | r |
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282 | old_high_internal_ram |
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283 | old_external_ram |
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284 | old_program_counter |
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285 | old_special_function_registers_8051 |
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286 | old_special_function_registers_8052 |
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287 | old_p1_latch |
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288 | old_p3_latch. |
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289 | |
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290 | ndefinition set_high_internal_ram ≝ |
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291 | λs: Status. |
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292 | λr: BitVectorTrie Byte seven. |
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293 | let old_code_memory ≝ code_memory s in |
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294 | let old_low_internal_ram ≝ low_internal_ram s in |
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295 | let old_high_internal_ram ≝ high_internal_ram s in |
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296 | let old_external_ram ≝ external_ram s in |
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297 | let old_program_counter ≝ program_counter s in |
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298 | let old_special_function_registers_8051 ≝ special_function_registers_8051 s in |
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299 | let old_special_function_registers_8052 ≝ special_function_registers_8052 s in |
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300 | let old_p1_latch ≝ p1_latch s in |
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301 | let old_p3_latch ≝ p3_latch s in |
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302 | mk_Status old_code_memory |
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303 | old_low_internal_ram |
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304 | r |
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305 | old_external_ram |
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306 | old_program_counter |
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307 | old_special_function_registers_8051 |
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308 | old_special_function_registers_8052 |
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309 | old_p1_latch |
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310 | old_p3_latch. |
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311 | |
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312 | naxiom less_than_or_equal_monotone: |
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313 | ∀m, n: Nat. |
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314 | m ≤ n → S m ≤ S n. |
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315 | |
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316 | alias id "get_index" = "cic:/matita/ng/Vector/get_index.fix(0,3,2)". |
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317 | |
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318 | ndefinition get_cy_flag ≝ |
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319 | λs: Status. |
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320 | let sfr ≝ special_function_registers_8051 s in |
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321 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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322 | get_index Bool eight psw Z ?. |
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323 | nnormalize. |
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324 | napply (less_than_or_equal_monotone ? ?). |
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325 | napply (less_than_or_equal_zero). |
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326 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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327 | napply (less_than_or_equal_zero). |
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328 | nqed. |
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329 | |
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330 | ndefinition get_ac_flag ≝ |
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331 | λs: Status. |
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332 | let sfr ≝ special_function_registers_8051 s in |
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333 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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334 | get_index Bool eight psw (S Z) ?. |
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335 | nnormalize. |
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336 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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337 | napply (less_than_or_equal_zero). |
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338 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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339 | napply (less_than_or_equal_zero). |
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340 | nqed. |
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341 | |
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342 | ndefinition get_fo_flag ≝ |
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343 | λs: Status. |
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344 | let sfr ≝ special_function_registers_8051 s in |
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345 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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346 | get_index Bool eight psw two ?. |
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347 | nnormalize. |
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348 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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349 | napply (less_than_or_equal_zero). |
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350 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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351 | napply (less_than_or_equal_zero). |
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352 | nqed. |
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353 | |
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354 | ndefinition get_rs1_flag ≝ |
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355 | λs: Status. |
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356 | let sfr ≝ special_function_registers_8051 s in |
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357 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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358 | get_index Bool eight psw three ?. |
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359 | nnormalize. |
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360 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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361 | napply (less_than_or_equal_zero). |
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362 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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363 | napply (less_than_or_equal_zero). |
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364 | nqed. |
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365 | |
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366 | ndefinition get_rs0_flag ≝ |
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367 | λs: Status. |
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368 | let sfr ≝ special_function_registers_8051 s in |
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369 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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370 | get_index Bool eight psw four ?. |
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371 | nnormalize. |
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372 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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373 | napply (less_than_or_equal_zero). |
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374 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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375 | napply (less_than_or_equal_zero). |
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376 | nqed. |
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377 | |
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378 | ndefinition get_ov_flag ≝ |
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379 | λs: Status. |
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380 | let sfr ≝ special_function_registers_8051 s in |
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381 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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382 | get_index Bool eight psw five ?. |
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383 | nnormalize. |
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384 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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385 | napply (less_than_or_equal_zero). |
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386 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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387 | napply (less_than_or_equal_zero). |
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388 | nqed. |
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389 | |
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390 | ndefinition get_ud_flag ≝ |
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391 | λs: Status. |
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392 | let sfr ≝ special_function_registers_8051 s in |
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393 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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394 | get_index Bool eight psw six ?. |
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395 | nnormalize. |
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396 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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397 | napply (less_than_or_equal_zero). |
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398 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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399 | napply (less_than_or_equal_zero). |
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400 | nqed. |
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401 | |
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402 | ndefinition get_p_flag ≝ |
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403 | λs: Status. |
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404 | let sfr ≝ special_function_registers_8051 s in |
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405 | let psw ≝ get_index Byte nineteen sfr (sfr_8051_index SFR_PSW) ? in |
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406 | get_index Bool eight psw seven ?. |
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407 | nnormalize. |
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408 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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409 | napply (less_than_or_equal_zero). |
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410 | nrepeat (napply (less_than_or_equal_monotone ? ?)). |
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411 | napply (less_than_or_equal_zero). |
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412 | nqed. |
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413 | |
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414 | ndefinition set_flags ≝ |
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415 | λs: Status. |
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416 | λcy: Bit. |
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417 | λac: Maybe Bit. |
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418 | λov: Bit. |
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419 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_PSW) in |
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420 | let old_cy ≝ get_index … nu Z ? in |
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421 | let old_ac ≝ get_index … nu one ? in |
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422 | let old_fo ≝ get_index … nu two ? in |
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423 | let old_rs1 ≝ get_index … nu three ? in |
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424 | let old_rs0 ≝ get_index … nl Z ? in |
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425 | let old_ov ≝ get_index … nl one ? in |
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426 | let old_ud ≝ get_index … nl two ? in |
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427 | let old_p ≝ get_index … nl three ? in |
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428 | let new_ac ≝ match ac with [ Nothing ⇒ old_ac | Just j ⇒ j ] in |
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429 | let new_psw ≝ [[ old_cy ; new_ac ; old_fo ; old_rs1 ; |
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430 | old_rs0 ; old_ov ; old_ud ; old_p ]] in |
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431 | set_8051_sfr s SFR_PSW new_psw. |
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432 | ##[##1,2,3,4,5,6,7,8: |
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433 | nnormalize; |
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434 | nrepeat (napply less_than_or_equal_monotone); |
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435 | napply (less_than_or_equal_zero); |
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436 | ##] |
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437 | nqed. |
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438 | |
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439 | ndefinition initialise_status ≝ |
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440 | let status ≝ mk_Status (Stub Byte sixteen) (* Code mem. *) |
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441 | (Stub Byte seven) (* Low mem. *) |
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442 | (Stub Byte seven) (* High mem. *) |
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443 | (Stub Byte sixteen) (* Ext mem. *) |
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444 | (zero sixteen) (* PC. *) |
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445 | (replicate Byte nineteen (zero eight)) (* 8051 SFR. *) |
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446 | (replicate Byte five (zero eight)) (* 8052 SFR. *) |
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447 | (zero eight) (* P1 latch. *) |
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448 | (zero eight) in (* P3 latch. *) |
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449 | set_program_counter status (bitvector_of_nat sixteen seven). |
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450 | |
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451 | naxiom not_implemented: False. |
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452 | |
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453 | include "Arithmetic.ma". |
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454 | |
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455 | ndefinition get_bit_addressable_sfr ≝ |
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456 | λs: Status. |
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457 | λn: Nat. |
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458 | λb: BitVector n. |
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459 | λl: Bool. |
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460 | let address ≝ nat_of_bitvector … b in |
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461 | if (decidable_equality address one_hundred_and_twenty_eight) then |
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462 | ? |
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463 | else if (decidable_equality address one_hundred_and_forty_four) then |
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464 | if l then |
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465 | (p1_latch s) |
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466 | else |
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467 | (get_8051_sfr s SFR_P1) |
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468 | else if (decidable_equality address one_hundred_and_sixty) then |
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469 | ? |
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470 | else if (decidable_equality address one_hundred_and_seventy_six) then |
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471 | if l then |
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472 | (p3_latch s) |
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473 | else |
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474 | (get_8051_sfr s SFR_P3) |
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475 | else if (decidable_equality address one_hundred_and_fifty_three) then |
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476 | get_8051_sfr s SFR_SBUF |
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477 | else if (decidable_equality address one_hundred_and_thirty_eight) then |
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478 | get_8051_sfr s SFR_TL0 |
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479 | else if (decidable_equality address one_hundred_and_thirty_nine) then |
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480 | get_8051_sfr s SFR_TL1 |
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481 | else if (decidable_equality address one_hundred_and_forty) then |
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482 | get_8051_sfr s SFR_TH0 |
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483 | else if (decidable_equality address one_hundred_and_forty_one) then |
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484 | get_8051_sfr s SFR_TH1 |
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485 | else if (decidable_equality address two_hundred) then |
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486 | get_8052_sfr s SFR_T2CON |
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487 | else if (decidable_equality address two_hundred_and_two) then |
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488 | get_8052_sfr s SFR_RCAP2L |
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489 | else if (decidable_equality address two_hundred_and_three) then |
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490 | get_8052_sfr s SFR_RCAP2H |
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491 | else if (decidable_equality address two_hundred_and_four) then |
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492 | get_8052_sfr s SFR_TL2 |
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493 | else if (decidable_equality address two_hundred_and_five) then |
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494 | get_8052_sfr s SFR_TH2 |
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495 | else if (decidable_equality address one_hundred_and_thirty_five) then |
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496 | get_8051_sfr s SFR_PCON |
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497 | else if (decidable_equality address one_hundred_and_thirty_six) then |
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498 | get_8051_sfr s SFR_TCON |
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499 | else if (decidable_equality address one_hundred_and_thirty_seven) then |
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500 | get_8051_sfr s SFR_TMOD |
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501 | else if (decidable_equality address one_hundred_and_fifty_two) then |
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502 | get_8051_sfr s SFR_SCON |
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503 | else if (decidable_equality address one_hundred_and_sixty_eight) then |
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504 | get_8051_sfr s SFR_IE |
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505 | else if (decidable_equality address one_hundred_and_eighty_four) then |
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506 | get_8051_sfr s SFR_IP |
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507 | else if (decidable_equality address one_hundred_and_twenty_nine) then |
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508 | get_8051_sfr s SFR_SP |
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509 | else if (decidable_equality address one_hundred_and_thirty) then |
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510 | get_8051_sfr s SFR_DPL |
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511 | else if (decidable_equality address one_hundred_and_thirty_one) then |
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512 | get_8051_sfr s SFR_DPH |
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513 | else if (decidable_equality address two_hundred_and_eight) then |
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514 | get_8051_sfr s SFR_PSW |
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515 | else if (decidable_equality address two_hundred_and_twenty_four) then |
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516 | get_8051_sfr s SFR_ACC_A |
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517 | else if (decidable_equality address two_hundred_and_forty) then |
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518 | get_8051_sfr s SFR_ACC_B |
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519 | else |
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520 | ?. |
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521 | ncases not_implemented. |
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522 | nqed. |
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523 | |
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524 | ndefinition set_bit_addressable_sfr ≝ |
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525 | λs: Status. |
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526 | λb: Byte. |
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527 | let address ≝ nat_of_bitvector … b in |
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528 | if (decidable_equality address one_hundred_and_twenty_eight) then |
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529 | ? |
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530 | else if (decidable_equality address one_hundred_and_forty_four) then |
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531 | let status_1 ≝ set_8051_sfr s SFR_P1 b in |
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532 | let status_2 ≝ set_p1_latch s b in |
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533 | status_2 |
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534 | else if (decidable_equality address one_hundred_and_sixty) then |
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535 | ? |
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536 | else if (decidable_equality address one_hundred_and_seventy_six) then |
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537 | let status_1 ≝ set_8051_sfr s SFR_P3 b in |
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538 | let status_2 ≝ set_p3_latch s b in |
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539 | status_2 |
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540 | else if (decidable_equality address one_hundred_and_fifty_three) then |
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541 | set_8051_sfr s SFR_SBUF b |
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542 | else if (decidable_equality address one_hundred_and_thirty_eight) then |
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543 | set_8051_sfr s SFR_TL0 b |
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544 | else if (decidable_equality address one_hundred_and_thirty_nine) then |
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545 | set_8051_sfr s SFR_TL1 b |
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546 | else if (decidable_equality address one_hundred_and_forty) then |
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547 | set_8051_sfr s SFR_TH0 b |
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548 | else if (decidable_equality address one_hundred_and_forty_one) then |
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549 | set_8051_sfr s SFR_TH1 b |
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550 | else if (decidable_equality address two_hundred) then |
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551 | set_8052_sfr s SFR_T2CON b |
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552 | else if (decidable_equality address two_hundred_and_two) then |
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553 | set_8052_sfr s SFR_RCAP2L b |
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554 | else if (decidable_equality address two_hundred_and_three) then |
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555 | set_8052_sfr s SFR_RCAP2H b |
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556 | else if (decidable_equality address two_hundred_and_four) then |
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557 | set_8052_sfr s SFR_TL2 b |
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558 | else if (decidable_equality address two_hundred_and_five) then |
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559 | set_8052_sfr s SFR_TH2 b |
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560 | else if (decidable_equality address one_hundred_and_thirty_five) then |
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561 | set_8051_sfr s SFR_PCON b |
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562 | else if (decidable_equality address one_hundred_and_thirty_six) then |
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563 | set_8051_sfr s SFR_TCON b |
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564 | else if (decidable_equality address one_hundred_and_thirty_seven) then |
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565 | set_8051_sfr s SFR_TMOD b |
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566 | else if (decidable_equality address one_hundred_and_fifty_two) then |
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567 | set_8051_sfr s SFR_SCON b |
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568 | else if (decidable_equality address one_hundred_and_sixty_eight) then |
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569 | set_8051_sfr s SFR_IE b |
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570 | else if (decidable_equality address one_hundred_and_eighty_four) then |
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571 | set_8051_sfr s SFR_IP b |
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572 | else if (decidable_equality address one_hundred_and_twenty_nine) then |
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573 | set_8051_sfr s SFR_SP b |
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574 | else if (decidable_equality address one_hundred_and_thirty) then |
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575 | set_8051_sfr s SFR_DPL b |
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576 | else if (decidable_equality address one_hundred_and_thirty_one) then |
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577 | set_8051_sfr s SFR_DPH b |
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578 | else if (decidable_equality address two_hundred_and_eight) then |
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579 | set_8051_sfr s SFR_PSW b |
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580 | else if (decidable_equality address two_hundred_and_twenty_four) then |
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581 | set_8051_sfr s SFR_ACC_A b |
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582 | else if (decidable_equality address two_hundred_and_forty) then |
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583 | set_8051_sfr s SFR_ACC_B b |
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584 | else |
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585 | ?. |
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586 | ncases not_implemented. |
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587 | nqed. |
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588 | |
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589 | ndefinition bit_address_of_register ≝ |
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590 | λs: Status. |
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591 | λb, c, d: Bit. |
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592 | let 〈 un, ln 〉 ≝ split ? four four (get_8051_sfr s SFR_PSW) in |
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593 | let 〈 r1, r0 〉 ≝ mk_Cartesian … (get_index four un two ?) (get_index four un three ?) in |
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594 | let offset ≝ |
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595 | if conjunction (negation r1) (negation r0) then |
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596 | Z |
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597 | else if conjunction (negation r1) r0 then |
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598 | eight |
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599 | else if conjunction r1 r0 then |
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600 | twenty_four |
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601 | else |
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602 | sixteen |
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603 | in |
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604 | bitvector_of_nat seven (offset + (nat_of_bitvector ? [[ false ; b ; c ; d ]])). |
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605 | nnormalize. |
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606 | nrepeat (napply less_than_or_equal_monotone). |
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607 | napply less_than_or_equal_zero. |
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608 | nrepeat (napply less_than_or_equal_monotone). |
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609 | napply less_than_or_equal_zero. |
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610 | nqed. |
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611 | |
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612 | ndefinition get_register ≝ |
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613 | λs: Status. |
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614 | λb, c, d: Bit. |
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615 | let address ≝ bit_address_of_register s b c d in |
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616 | lookup … address (low_internal_ram s) (zero eight). |
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617 | |
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618 | ndefinition set_register ≝ |
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619 | λs: Status. |
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620 | λb, c, d: Bit. |
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621 | λv: Byte. |
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622 | let address ≝ bit_address_of_register s b c d in |
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623 | let old_low_internal_ram ≝ low_internal_ram s in |
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624 | let new_low_internal_ram ≝ insert … address v old_low_internal_ram in |
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625 | set_low_internal_ram s new_low_internal_ram. |
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626 | |
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627 | ndefinition read_at_stack_pointer ≝ |
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628 | λs: Status. |
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629 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_SP) in |
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630 | let m ≝ get_index … nu Z ? in |
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631 | let r1 ≝ get_index … nu one ? in |
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632 | let r2 ≝ get_index … nu two ? in |
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633 | let r3 ≝ get_index … nu three ? in |
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634 | let address ≝ [[ r1 ; r2 ; r3 ]] @@ nl in |
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635 | let memory ≝ |
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636 | if m then |
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637 | (low_internal_ram s) |
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638 | else |
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639 | (high_internal_ram s) |
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640 | in |
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641 | lookup … address memory (zero eight). |
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642 | ##[##1,2,3,4: |
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643 | nnormalize; |
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644 | nrepeat (napply less_than_or_equal_monotone); |
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645 | napply less_than_or_equal_zero; |
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646 | ##] |
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647 | nqed. |
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648 | |
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649 | ndefinition write_at_stack_pointer ≝ |
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650 | λs: Status. |
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651 | λv: Byte. |
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652 | let 〈 nu, nl 〉 ≝ split … four four (get_8051_sfr s SFR_SP) in |
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653 | let bit_zero ≝ get_index … nu Z ? in |
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654 | let bit_one ≝ get_index … nu one ? in |
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655 | let bit_two ≝ get_index … nu two ? in |
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656 | let bit_three ≝ get_index … nu three ? in |
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657 | if bit_zero then |
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658 | let memory ≝ insert … ([[ bit_one ; bit_two ; bit_three ]] @@ nl) |
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659 | v (low_internal_ram s) in |
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660 | set_low_internal_ram s memory |
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661 | else |
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662 | let memory ≝ insert … ([[ bit_one ; bit_two ; bit_three ]] @@ nl) |
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663 | v (high_internal_ram s) in |
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664 | set_high_internal_ram s memory. |
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665 | ##[##1,2,3,4: |
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666 | nnormalize; |
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667 | nrepeat (napply less_than_or_equal_monotone); |
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668 | napply less_than_or_equal_zero; |
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669 | ##] |
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670 | nqed. |
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671 | |
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672 | include "ASM.ma". |
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673 | |
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674 | ndefinition set_arg_16: Status → Word → [[ dptr ]] → Status ≝ |
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675 | λs,v,a. |
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676 | match a return λx. bool_to_Prop (is_in ? [[ dptr ]] x) → ? with |
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677 | [ DPTR ⇒ λ_:True. |
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678 | let 〈 bu, bl 〉 ≝ split … eight eight v in |
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679 | let status ≝ set_8051_sfr s SFR_DPH bu in |
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680 | let status ≝ set_8051_sfr status SFR_DPL bl in |
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681 | status |
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682 | | _ ⇒ λK. |
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683 | match K in False with |
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684 | [ |
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685 | ] |
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686 | ] (subaddressing_modein … a). |
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687 | |
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688 | ndefinition get_arg_16: Status → [[ data16 ]] → Word ≝ |
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689 | λs, a. |
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690 | match a return λx. bool_to_Prop (is_in ? [[ data16 ]] x) → ? with |
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691 | [ DATA16 d ⇒ λ_:True. d |
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692 | | _ ⇒ λK. |
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693 | match K in False with |
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694 | [ |
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695 | ] |
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696 | ] (subaddressing_modein … a). |
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697 | |
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698 | naxiom half_add: |
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699 | ∀n: Nat. |
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700 | ∀b, c: BitVector n. |
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701 | BitVector n × Bool. |
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702 | |
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703 | ndefinition get_arg_8: Status → Bool → [[ direct ; indirect ; register ; |
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704 | acc_a ; acc_b ; data ; acc_dptr ; |
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705 | acc_pc ; ext_indirect ; |
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706 | ext_indirect_dptr ]] → Byte ≝ |
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707 | λs, l, a. |
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708 | match a return λx. bool_to_Prop (is_in ? [[ direct ; indirect ; register ; |
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709 | acc_a ; acc_b ; data ; acc_dptr ; |
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710 | acc_pc ; ext_indirect ; |
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711 | ext_indirect_dptr ]] x) → ? with |
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712 | [ ACC_A ⇒ λK: True. get_8051_sfr s SFR_ACC_A |
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713 | | ACC_B ⇒ λK: True. get_8051_sfr s SFR_ACC_B |
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714 | | DATA d ⇒ λK: True. d |
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715 | | REGISTER r1 r2 r3 ⇒ λK: True. get_register s r1 r2 r3 |
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716 | | EXT_INDIRECT_DPTR ⇒ |
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717 | λK: True. |
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718 | let address ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
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719 | lookup … sixteen address (external_ram s) (zero eight) |
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720 | | EXT_INDIRECT e ⇒ |
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721 | λK: True. |
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722 | let address ≝ get_register s false false e in |
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723 | let padded_address ≝ pad eight eight address in |
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724 | lookup … sixteen padded_address (external_ram s) |
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725 | | ACC_DPTR ⇒ |
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726 | λK: True. |
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727 | let dptr ≝ (get_8051_sfr s SFR_DPH) @@ (get_8051_sfr s SFR_DPL) in |
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728 | let padded_acc ≝ pad eight eight (get_8051_sfr s SFR_ACC_A) in |
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729 | let 〈 address, carry 〉 ≝ half_add sixteen dptr padded_acc in |
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730 | lookup … sixteen address (external_ram s) (zero eight) |
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731 | | ACC_PC ⇒ |
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732 | λK: True. |
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733 | let padded_acc ≝ pad eight eight (get_8051_sfr s SFR_ACC_A) in |
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734 | let 〈 address, carry 〉 ≝ half_add sixteen (program_counter s) padded_acc in |
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735 | lookup … sixteen address (external_ram s) (zero eight) |
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736 | | DIRECT d ⇒ |
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737 | λK: True. |
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738 | ? |
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739 | | INDIRECT i ⇒ |
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740 | λK: True. ? |
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741 | | _ ⇒ λK. ? |
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742 | ] (subaddressing_modein … a). |
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743 | nauto; |
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744 | nqed. |
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